munnann Hiaaaawiiiiiiiim saaaaiH K; Max B. FAJARDO Jr. SIMPLIFIED CONSTRUCTION / C9 I I I I I U I C Third Edition mifeiH / Kzt / laHliiHfli mil Ma* 3. FAJASWO Jr. SIMPLIFIED CONSTRUCTION • estimate Thir i Edition SIMPLIFIED CONSTRUCTION estimate Third Edition By Max B. Fajardo, Jr. Max B. Fajardo Jr. Project Manager 1 V , Regional Director, DPWH; Author of : Simplified Methods on Building Construction; Plumbing Design and Estimate; Electrical Layout and Estimate; Planning and Designers Handbook and Elements of Roads and Highways . Philippines Copyright 1995 by 5138 Merchandising Publisher ISBN 971- 8589 -10 - 4 ^ ^ SELRKJ ITS RESERVED FOREWORD The first edition of Simplified Construction Estimate was unique and a significant publication. It has stimulated for the first time the imagination and bright ideas of planners and builders as well as laymen towards a new technique in estimating. It established a comprehensive source of data dealing with the functional analysis presented in an illustrative examples using a simple arithmetical approach. The first edition however , was written during a period that marked the beginning of changes. A radical transformation from English to Metrication which was considered as the beginning of a new era of mensuration. Under such pressing condition, in order to maintain its effectiveness, the book requires adjustment and revisions to incorporate the new development and thinking. As a result the second edition of Simplified Construction Estimate has been published in 1988. Painting , wail papering and many others were introduced as a response to the many suggestions from those who have read the first edition. Six years later , the author stresses the need for an urgent transformation to the new development because of the belief that the ways of the past are no longer adequate. Tables and formulas were revised and improved to obtain a more intriguing results. For this third edition, the author again reiterate that, he does not claim that this work in itself is perfect. In fact he would welcome suggestions from those who are better knowledgeable that may further enrich the contents of this book. mbf PREFACE TO THE FIRST EDITION Estimate has always been regarded as a valuation based on opinion or roughly made from imperfect or incomplete data; a calculation not professedly exact, an appraisement; also a statement, as by a builder, in regard to the cost of certain work. This book is intended for the last definition. As the science of technology advances and the demand for technologists increases educators, architects, engineers, contractors, carpenters and other workers in allied fields are becoming more cognizant of the importance and value of near accuracy even in estimates. It is at this juncture that the author, in his desire to be of some help, prepared this edition as an introductory text to facilitate the studies of beginning students and other interested persons who wish an instant answerto their problems involving cost of construction materials. This book is, by design, an outline whose purpose is to guide those persons concerned on matters of estimation. Tables and formula have been prepared with the hope that readers or users of the book will find it easy to formulate solutions to their cost problems. Illustrative examples were included to serve as visual aids for more perplexing problems. Since this is an initial attempt on the part of the author along this line of endeavor, he does not claim that this work is in itself perfect. In fact he would welcome suggestions from those who are better knowledgeable that may further enrich the contents of this book For the present edition, the author wishes to express grateful acknowledgment for the valuable suggestions of Dean Francisca Guevara of UNEP, Iriga City and Edgar Tuy who read the preliminary of the entire manuscript The author likewise, wishes to express his indebtedness to the countless persons here unnamed , who have contributed to the scientific and experimental background from which this book has been based mbf TABLE OF CONTENTS C H A P T E- 1RCONCRETE Plain and Reinforced Concrete The Principles of Concrete Mixing The Unit of Measure Concrete Proportions Concrete Slab Estimating by the Area Method Concrete Column Estimating Concrete Column by vhe Linear Meter Method 1-9 Post and Footing 1-10 Rectangular Column 1-11 Rectangular Beam and Girder 1-12 Circular Column 1-13 Concrete Pipes 1-1 1-2 1-3 1-4 1-5 1 -6 1-7 1-8 1 3 5 8 11 14 16 17 21 27 29 30 33 CHAPTER- 2 MASONRY 2-1 Concrete Hollow Blocks 2-2 Special Types of Concrete Hollow Blocks 2-3 Decorative Concrete Blocks 2-4 Adobe Stone 37 58 65 68 CHAPTER- 3 METAL REINFORCEMENT 3- 1 3-2 3-3 3- 4 3-5 Steel Bars Identification of Steel Bars Bar Splice , Hook and Bend Reinforcement for Concrete Hollow Blocks Tie Wire for Steel Reinforcement 75 77 78 85 89 Independent Footing Reinforcement Post and Column Reinforcement Beams and Girders Reinforcement Lateral Ties 3- 10 Stirrups for Beam and Girder 3- 11 Spiral and Column Ties 3- 12 One Way Reinforced Concrete Slab 3- 13 Two Way Reinforced Concrete Slab 3- 14 Concrete Pipe Reinforcement 3-6 3- 7 3-8 3- 9 91 99 100 102 115 118 122 126 129 CHAPTER- 4 LUMBER 4- 1 Wood 4-2 Definitions of Terms 4 -3 Classification of Wood 4 -4 Methods of Log Sawing 4 -5 Defects in Wood 4 -6 Seasoning of Lumber 4-7 The Unit Measure of Lumber 4 - 8 Wood Post 4- 9 Girder 4- 10 Floor Joist and T&G Flooring 4 - 11 Siding Wood Board 4- 12 Girts, Rafters. Truss. Purlins and Fascia Board 4- 13 Studs 4- 14 Ceiling Joist 4-15 Ceiling Board 4- 16 Door Frame 4 -17 Window Frame 132 132 134 136 137 138 139 144 146 150 155 158 159 164 166 172 175 CHAPTER - 5 FORMS, SCAFFOLDING AND STAGING 5- 1 Forms 5-2 Greasing of Forms 5 - 3 Scaffolding and Staging 177 179 179 5-4 Comparative Analysis Between the T&G and Plywood as Forms 5-5 Forms Using Plywood 5-6 Forms of Circular Column 5-7 Estimating the Scaffolding and Staging 181 190 193 200 - CHAPTER 6 ROOFING MATERIALS 6-1 Galvanized Iron Sheet 6-2 Gutter , Flashing, Ridge, Hipped and Valley Roll 6-3 Asbestos Roofing 6-4 Colorbond Klip-Lok 6-5 Banawe Horizontal Metal Tile 6-6 Marcelo Roofing System 6-7 Colorbond Custom Orb 6-8 Milano Long span Steel Bricks 6-9 Colorbond Trimdex Hi-Ten 6-10 Brick Tiles Roofing 206 222 228 235 237 238 239 240 241 242 CHAPTER - 7 TILEWORK 7-1 Ceramic Tiles 7-2 Marble Tiles 7-3 Vinyl and Rubber Tiles 7-4 Terrazzo and Granolothic 7-5 Cement Tiles 7-6 Wood Tiles 7-7 Pebbles and Washout Finishes 243 252 254 256 260 263 265 CHAPTER - 8 HARDWARE 8-1 Bolts 267 8- 2 Screw 8-3 Nails 274 279 CHAPTER - 9 STAIRCASE 9- 1 Introduction 9-2 Stairs Layout 9-3 Stringer 291 295 301 CHAPTER - 10 PAINTING 10-1 Paint 10- 2 Ingredients of Paint 10-3 Essential and Specific Properties of a Good Quality Paint 10-4 The Elements of a Good Painting Job 10-5 Specifications for Surface Preparation 10-6 Kinds of Pamt. Uses and Area Coverage 10-7 Estimating Your Paint 10-8 Paint Failure and Remedy 10- 9 Waif Papering 309 310 312 313 315 318 327 333 336 CHAPTER - 11 AUXILIARY TOPICS 11- 1 Accordion Door Cover 11-2 Glass Jalousie 11- 3 Water Tank 11-4 Wood Piles 11 -5 Bituminous Surface Treatment 11 -6 Filling Materials 11 - 7 Nipa Shingle Roofing 11 -8 Anahaw Roofing Construction Terminologies 339 341 342 346 348 350 352 356 359 CHAPTER 1 CONCRETE 1- 1 PLAIN AND REINFORCED CONCRETE Concrete is either Plain or Reinforced. By definition, Plain Concrete is an artificial stone as a result of mixing cement , fine aggregates, coarse aggregates and water. The conglomeration of these materials producing a solid mass is called plain concrete. Reinforced Concrete on the other hand, is a concrete with reinforcement embedded in such a manner that the two materials act together in resisting forces. The different types of cement used in the construction are: 1. The Ordinary Portland Cement 2. The Rapid Hardening Portland Cement which is preferred when high early strength is required. 3. The Blast Furnace or Sulphate Cement which is used on structures to resist chemical attack. 4. The Low Heat Portland Cement for massive section to reduce the heat of hydration. 5. The Portland Pozzolan Cement with a low hardening characteristic concrete. 6. The High Alumina Cement. 1 The High Alumina Cement is sometimes called Aluminous Cement or Cement Fundu. Its chemical composition is different from that of portland cement with predominant alumina oxide contents of at least 32% by weight. The Alumina lime ratio is within the limit of 0.85% to 1.3 % . This type of cement has a very high rate of strength development as compared with the ordinary portland cement. Aside from its rapid hardening properties , it can resist chemical attack by sulphate and weak acids including sea water. And it can also withstand prolonged exposure to high temperature of more than 1.000°C. Alumina cement however , is not advisable for mixing with any other types of cement. The main composition of cement are: 60 to 65% Lime 18 - 25% Silica 3 - 8% Alumina 5 - 5% Iron Oxide 2 - 5% Magnesia 1 - 5% Sulfur Trioxide Aggregates. The aggregates used in a concrete work is classified into two categories . 1. Coarse Aggregate such as crushed stone, crushed gravel or natural gravel with particles retained on a 5 mm sieve . 2 . Fine Aggregate such as crushed stone , crushed gravel, sand or natural sand with particles passing on a 5 mm sieve . 2 Size of Aggregates. For coarse aggregate (gravel), the maximum nominal size are usually 40 mm, 20 mm, 14 mm or 10 mm. diameter . The choice from the above sizes depends upon the dimensions of the concrete member more particularly the spacing of steel bar reinforcements. However , good practice demands that the maximum size of the coarse aggregate (gravel ) should not exceed 25% of the minimum thickness of the member nor exceed the clear distance between the reinforcing bars and the form. The aggregate should be small enough for the concrete mixture to flow around the reinforcement and is ready for compaction. 1 -2 THE PRINCIPLES OF CONCRETE MIXING The purpose in concrete mixing is to select an optimum proportion of cement , water and aggregates to produce a concrete that will meet the specification requirements such as: a. Workability b. Strength c. Durability d. Economy The proportions which will be finally adopted In concrete mixing has to be established by actual trial and adjustments in order to attain the desired strength of concrete required. The processes would be as follows: 1 The Water Cement Ratio is first determined to meet the requirements of strength and durability . 2 . The Aggregate Cement Ratio is then chosen to satisfy the workability requirements . 3 Laboratory test results showed that, the water -cement content ratio is the most important factor to consider because it influences not only the strength and durability of the concrete but also the workability of the fresh concrete being poured inside the forms. The ACI requirements for concrete are enumerated as follows : 1. Fresh concrete shall be workable. Meaning, that the fresh concrete can freely flow around the reinforcements and fill all the voids inside the form. 2. That the hardened concrete shall be strong enough to carry the design load. 3. The hardened concrete could withstand the conditions to which it is expected to perform. 4. The concrete should be economically produced. Concrete Mixture Maybe Classified as either : a. Designed Mixture b. Prescribed Mixture Designed Mixture. Where the contractor is responsible in selecting the mixture proportion to achieve the required strength and workability. Prescribed Mixture. Where the designing Engineer specify the mixture proportion. The contractor’s responsibility is only to provide a properly mixed concrete containing the right proportions as prescribed. 4 1 -3 THE UNIT OF MEASURE P rior to the adoption of the Metric measure otherwise known as System International (SI) , solid concrete structure is estimated in terms of cubic meters although the components thereof such as cement , aggregates and water are measured in pounds , cubic foot and gallons per bag respectively. TABLE 1-1 CONVERSION FROM INCHES TO METER Number Accurate Approximate Number Accurate Approximate value value value value . 5334 . 525 . 025 21 22 . 5588 . 0762 050 . 075 23 . 5842 . 1016 .100 . 6096 . 1270 . 125 . 1524 . 150 . 1778 . 175 . 2032 . 200 . 2286 . 225 . 2540 . . 2794 . 275 12 . 3048 . 8128 . 800 13 14 15 16 17 . 3302 300 . 325 . 350 . 375 24 25 26 27 28 29 30 31 32 33 34 . 8382 . 825 8636 . 850 35 36 . 8890 875 . 900 . 925 . 950 . 975 1.000 1 . 0254 . 2 3 4 5 6 7 8 9 10 11 . 0508 . 18 19 20 . 3556 . 3810 . 4064 . 4318 . 4572 . 4826 5080 . . . 250 . 400 . 6350 . 6604 . 6858 . 7112 . 7366 7620 . 7874 . . . 9144 . 9398 . 450 37 38 .475 39 . 9906 500 40 1.0160 .425 5 . 9652 550 . 575 . 600 . 625 . 650 . 675 . 700 . 725 . 750 . 775 . Lately however, after the adoption of the SI unit of measures, the 94 pounds per bag cement which is equivalent to 42.72 kilograms was changed and fixed at 40 kilos per bag. This simply means a reduction of 2.72 kilograms of cement per bag. Such changes therefore , requires adjustment of all measurements relative to the proportion of concrete . The traditional measurement of a box being used to measure the sand and gravel is 12 inches wide by 12 inches long and 12 inches high having a net volume of one cubic foot. These measurements will be changed to 30 x 30 x 30 centimeters box wherein the values presented in Table 1-2 is based . Very recently , a 50 kilogram cement was released in the market for commercial purposes. This new development was already incorporated in our tables and illustrations which would be noticed in the variation of values presented in Table 1-2 The values presented in Table 1-1 could be useful in two purposes. One for the accurate conversion of distance from English to Metric and the other is the approximate value which will be generally used in our simplified methods of estimating . For Instance: A) In solving problems, the probability of committing error is high if more number is being used. Example: It is easier to use .10 meter ( the equivalent of 4“ ) than .1016 the exact equivalent value of 4“ be it by multiplication or by division processes. 6 8 » 80 by inspection and analysis .10 8 = 78.7 by long process of division .1016 B) To memorize the values given in Table 1-1 is a waste of time and not a practical approach. A simple guide will be adopted so that anybody could easily determine the equivalent values from the English to Metric or vice versa . Example: 1 . To convert Meter to Feet . . Divide the length by .30 Say 6.0 m. . 30 = 20 ft . 2. To convert Feet to Meter . . Multiply by . 30 Say , 30 ft. x . 30 * 9.0 meters 3. To convert Inches to Meter, just remember the following values of equivalent: 1 inch = 2 inches = 3 inches = 4 inches = .025 m. .050 m. . 075 m. .10 m. Note that ail length in inches are divisible by any one of these four numbers and could be easily converted to meters by summing up their divisible equivalent. 7 Example: a) What is the meter length equivalent of 7 Inches ? By simple analysis 7 inches could be the sum of 4 and 3 Therefore: 4 inches = 100 m. 3 inches = .075 m. Answer = ,175 m. , b) How about 21 inches to meter ? 5 x 4” = 20" = .50 m. 1” « .025 m. plus 1 " = Answer . . . . - .525 m. Using the above simple guide, convert any number from inches to meter and vice versa as an exercise problems. 1-4 CONCRETE PROPORTIONS The most common and easy way of proportioning concrete is the volume method using a measuring box for sand and gravel as explained in Section 1-3, the Unit of Measure . The reasons behind its traditional acceptance and use is the convenience in measuring and fast handling of the aggregates from the stock pile to the mixer . . This volume method of concrete proportioning however had long been practiced in almost all types of concrete construction and time have proven it to be effective and successful. 8 38 cm Measuring Box for 40 kg. Cement Box for 50 kg. Cement FIGURE 1-1 TABLE 1-2 CONCRETE PROPORTION Class Mixture AA A 1 : 11/2 ; 3 1: 2 : 4 1 : 21/2 : 5 1: 3 : 6 B C Cement 40 kg. / Sag^ 50 kg. / Bag 12.0 9.5 7.0 6.0 5.0 9.0 7.5 6.0 Sand cu.m. Gravel cu. m. .5 0 1.0 .5 0 .5 0 1.0 1.0 .5 0 1.0 It is interesting to note that the volume of sand and gravel for all classes of mixture is constant at .50 cu.m, and 1.0 cu. m, respectively . This is true on the assumption that the cement paste enters the void of the sand and at the same instance the combination of these two materials fills the void of the gravel and thereafter , forming a solid mass called solid concrete equivalent to one cubic meter. 9 Based from actual concreting work, one cubic meter of gravel plus one half cubic meter sand mixed with cement and water will obtain a little bit more than one cubic meter solid concrete. The little excess over one cubic meter will be considered as contingencies. Comments In actual concreting and masonry work , there are several factors that might affect the accuracy of the estimate. Some of which are enumerated as follows: 1. Inaccurate volume of delivered aggregates by the supplier is very common. Delivery truck measurements must be checked to assure that the volume of aggregates delivered is exactly as ordered. 2. Dumping of aggregates (sand and gravel ) on uneven ground surface and grassy areas reduces the net volume of the aggregates. 3. Improper measuring of the aggregates during the mixing operation. This is a common practice when the work is on its momentum where laborers fails to observed the right measuring of aggregates being delivered to the mixer. 4. The cement and fine aggregate for grouting concrete joints is often overlooked in the estimate. 5. Cement waste due to bag breakage is usually caused by wreckless handling and hauling. 6. Pilferages of materials. This could be avoided through a good system of construction management. 10 Ordering coarse aggregate must be specific as to : a ) Kind of gravel, either crushed stone or natural gravel from the creek . b ) The minimum and maximum size of the stone must be specified. It shall be free from mixed sand because sand is cheaper than gravel. Natural gravel from the creek requires screening to obtain a well graded aggregate but screening involves additional cost on labor . 1 -5 CONCRETE SLAB The discussions from cement to concrete proportions plus the Tables presented could be more meaningful and appreciated if accompanied by illustrations or examples of actual applications. ILLUSTRATION 1 - 1 A proposed concrete pavement has a general dimensions of 4 inches thick, 3.00 meters wide and 5.00 meters long. Determine the number of cement in bags, sand and gravel in cubic meters required using class ”C" mixture. FIGURE 1- 2 11 SOLUTION: . 1 Determine the volume of the proposed concrete pavement Convert 4 inches to meter = .10 m. V = .10 x 3.00 x 5.00 V = 1.5 cu. m. 2. Refer to Table 1-2. Using 40 kg. cement class "C ” mixture; Multiply: Cement : 1.5 x 6.0 = 9 bags Sand : 1.5 x .50 = .75 cu.m. Gravel : 1.5 x 1.0 = 1.50 cu.m. Suppose there is no available 40 kg. cement but instead what is available is a 50 kg. per bag. How many bags will be ordered ? SOLUTION: 1. Knowing the volume to be 1.5 cu. m. 2. Refer to Table 1-2 under 50 kg. cement class C mixture ; Multiply: Cement 1.5 x 5.0 = 7 5 bags Sand : 1.5 x .50 = .75 cu. m. Gravel : 1.5 x 1.0 « 1 . 5 cu. m. 3. Since we cannot buy 7.5 bags, order 8 bags at 50 kg. / bag 12 ILLUSTRATION 1- 2 A barangay road 6.00 meters wide and one kilometer long after base preparation requires concreting. Find the number of bags cement, sand and gravel in cubic meters required using class A concrete if the slab is 6 inches thick. 15 CfTl FIGURE 1-3 SOLUTION: 1. Determine the volume of the concrete pavement. Convert 6” to meter = . 15 m; 1-km. = 1000 m. V = t x w x I V = .15 x 6.00 x 1 ,000 m. V = 900 cu. m. 2. Referring to Table 1-2, using 40 kg . cement; Multiply ; Cement : 900 x 9.0 = 8 , 100 bags 450 cu . m. Sand : 900 x . 50 * 900 cu. m. Gravel : 900 x 1.0 = 13 If there is no 40 kg. cement available , a 50 kg. cement requires: Cement : 900 x 7 = 6 ,300 bags Sand and gravel = the same as computed above . The solution of the preceding illustration is the volume method which could be simplified further by the Area Method. 1-6 ESTIMATING BY THE AREA METHOD Estimating by the Area Method is much easier than the Volume Method, but this could be done easily with the aid of Table 1-3 which readily gives the quantity of cement, sand and gravel per square meter depending upon the required thickness of the slab . - TABLE 1 3 QUANTITY OF CEMENT, SAND AND GRAVEL ON SLABS AND WALLS PER SQUARE METER Thick cm. 5.0 7.5 10.0 125 15.0 17.5 20.0 22.5 25.0 27.5 30.0 Mixture Class 50 kg. Cement 40 kg. Cement C C A A B B .30 .450 .375 . 30 . 350 .250 .675 .900 1.125 1.350 1.575 1.800 2 030 2.250 2475 2.700 . 563 .750 .938 1.125 1.313 1.500 1.688 1.875 2063 2.250 . 45 . 60 .75 .90 1.05 1.20 1.35 1.50 1.65 1.80 . 525 . 450 .375 .700 .600 .500 .875 .750 .625 750 1.050 .900 1.225 j 1.050 .875 1.000 1.400 ' 1.575 1.350 j 1.125 1750 1.500 1.250 1925 1650 2.100 1800 11500 11.200 11375 . 14 Sand Gravel cu. in. cu. m. .0250 .050 .0375 .075 .0500 .100 .0630 .125 .0750 .150 .0880 .175 .1000 .200 1125 .225 1250 .250 . 1380 .275 .1500 .300 ILLUSTRATION 1- 3 Adopting the problem of Illustration 1-1 and 1-2 using the Area Method with the aid of Table 1-3, the solution will be: Solution for Illustration 1- 1 1. Solve for the pavement area. A = width x length A = 3.00 x 5.00 m. A = 15 sq. m. 2. Referring to Table 1- 3 , for 10 cm. slab , class "C" mixture and using 40 kg. cement; Multiply: Cement : 15 x .60 = 9 bags Sand : 15 x .05 = .75 cu. m. Gravel : 15 x .100 = 1.5 cu. m. Solution for Illustration 1 -2 1. Find the area of the concrete barangay road. A = width x length A = 6.00 m. x 1,000 meters A = 6 , 000 sq. m. 2. Refer to Table 1-3. Using class A mixture for a 15 cm. thick concrete slab. Multiply: 15 Cement : 6 ,000 x 1.350 * 8.100 bags : 6 ,000 x .075 450 cu. m . Sand Grave! : 6 , 000 x .150 900 cu . m. - = 1-7 CONCRETE COLUMN Estimating the quantity of materials for concrete column is done in two different ways: 1 . By the Volume Method 2. By the Linear or Meter Length Method ILLUSTRATION 1 -4 A concrete column is 5.00 meters high with cross sectional dimensions of 25 cm x 30 cm If there are 8 columns of the same size in the row , find the quantity of cement , sand and gravel content of the columns if it is poured with class TV' concrete. r X T 5 00 m X 25 cm 30 cm Cross Section x x * FIGURE 1*4 16 SOLUTION: 1. Find the volume of one column. V * .25 x .30 x 5.00 m. V = . 375 cu. m. 2. Find the total volume of the eight columns Vt = . 375 x 8 Vt = 3.0 cu . m. 3. Referring to Table 1-2, using class A concrete; Multiply : Cement Sand Gravel 3.0 x 9.0 = 27 bags at 40 kg. 3.0 x .50 = 1.5 cu . m. 3.0 x 1 0 = 3.0 cu. m. , 1 - 8 ESTIMATING CONCRETE COLUMN BY TH E LINEAR METER METHOD Another way of estimating the quantity of materials for concrete column is by the Linear Meter Method. Under this method, the length of the column is first determined, then with the aid of Table 1-4, the quantity required is found by single step of multiplication. 17 TABLE 1-4 QUANTITY OF CEMENT, SAND AND GRAVEL FOR POST , BEAM AND GIRDER PER METER LENGTH Size Sand Gravel Mixture Class cm. 40 kg . Cement 50 kg. Cement cu. m. cu. m. A B A B .169 .158 .203 .135 15 x 15 .011 .023 15 x 20 .270 .225 .180 .015 .030 . 210 .338 .281 15 x 25 .038 . 263 .225 .019 .405 .338 .315 .270 . 023 .045 15 x 30 .473 .053 .315 .394 .369 .026 15 x 35 .540 15 x 40 .450 .420 .360 .030 . 060 20 x 20 20 x 25 20 x 30 20 x 35 20 x 40 25 x 25 25 x 30 25 x 35 25 x 40 25 x 45 25 X 50 30 x 30 30 X 35 30 x 40 30 x 45 30 x 50 35 x 35 35 x 40 .360 .450 .540 .630 .720 .300 .375 .450 .563 .469 .563 .656 .750 .844 .938 .438 .675 . 788 .900 1.013 1.125 .280 . 350 .420 .490 .560 .525 .600 .525 .613 . 700 .788 .875 .240 . 020 .040 .300 .360 .420 .480 .025 .030 .035 .040 .050 .060 . 070 .080 .375 .450 .525 .600 .675 . 750 .031 .063 .038 .044 .050 .056 .063 .075 .045 .090 .105 061 .123 .140 .810 . 945 1.080 1.215 .675 .630 .788 .900 1.013 .735 .540 .630 . 840 .720 .945 .810 1.350 1.125 1.050 .900 .053 .060 .068 .075 1.103 1.260 . 919 .858 .735 . 1.050 . 980 .840 . 070 18 .088 .100 .113 .125 .120 .135 .150 35 x 45 35 x 50 35 x 55 35 x 60 1.418 1.575 1.733 1.890 1.181 1.313 1.444 1.575 1.103 1.225 40 x 40 40 x 45 40 x 50 40 x 55 40 x 60 1.440 1.620 1.800 1.200 1.120 1.260 45 x 45 45 x 50 45 x 55 1823 2.025 2.228 2.430 45 x 60 1.980 2.160 1.350 1.500 1.650 1.800 1.348 1.470 1.400 . 945 1.050 1.155 1.260 .960 1.080 1.680 1.200 1.320 1.440 1.418 1.215 1350 1856 1.575 1733 2.025 1.519 1.688 1.540 .079 .088 .158 . 096 .193 .105 .210 .080 .090 .160 .180 100 .200 .110 .220 .240 . . 120 .175 .203 1.485 . 101 .113 .124 1.890 1.620 .135 .270 1.500 .125 .250 1, 650 1800 . 138 . 150 . 275 .300 . 165 .330 .193 .385 . 220 .440 . 248 .495 .225 .248 50 x 50 50 x 55 50 x 60 2.250 2.475 1.875 2.063 2.700 2.250 1750 1.925 2.100 55 x 60 55 x 70 55 x 80 55 x 90 55 x 100 2.970 2.475 2.888 3.300 3.713 2.310 2.695 3.080 3.465 1980 2.310 2.640 2.970 4.125 3.850 3.300 . 275 .550 60 x 60 3.240 . 180 .360 3.780 4.320 4.860 5.400 2.520 2.940 2.160 60 x 70 60 x 80 60 x 90 2.700 3.150 2.520 . 210 . 3.600 3.360 . 240 .480 4.050 4.500 3.780 4.200 2.880 3.240 . 270 .540 3.600 . 300 .600 60 x 100 3.465 3.960 4.455 4.950 19 420 2.925 3.413 3.900 4.388 4.875 2.730 3.430 5.040 5.670 6.300 3.675 4.200 4.725 5.250 4.725 3.938 5.400 65 x 60 65 x 70 65 x 80 3.510 4.095 65 X 90 65 x 100 5.265 5.850 70 x 70 4.410 70 x 80 70 x 90 70 x 100 75 x 70 75 X 80 75 X 90 75 X 100 4.680 6.075 6.750 3.185 3.640 4.095 2.340 2.730 3.120 3.510 3.900 195 .228 . 260 .293 . .390 .455 .520 .585 . 325 .650 2.940 3.360 3.780 4.200 . 245 .490 .280 .560 . 315 .630 . 350 .700 3.150 3.600 4.050 . 263 4.500 5.063 5.625 3.675 4.200 4.725 5.250 338 . 375 .525 .600 .675 .750 4.480 5.040 5.600 3.840 4.320 4.800 . 320 .640 . 360 .720 . 400 .800 4.760 4.080 4.590 5.100 . 340 .680 . 383 .765 .425 .850 80 x 80 80 x 90 80 x 100 5.760 6.480 7.200 4.800 5.400 6.000 85 x 80 85 x 90 85 x 100 6.120 6.885 7.650 5.100 5.738 6.375 90 x 90 90 X 100 7.290 8.100 6.075 95 X 90 95 x 100 100 x 100 7.695 8.550 9.000 6.750 6.413 7.125 7.500 4.550 3.920 4.410 4.900 5.355 5.950 4.500 . 300 . 5.670 6.300 4.860 .405 .810 5.400 .450 . 900 5.985 6.650 7.000 5.130 5.700 6.000 .428 .475 .855 .950 . 500 1.000 20 ILLUSTRATION 1-5 Adopting the problem of illustration 1-4 where there are 8 columns at 5.00 meters high each , we have: SOLUTION: 1. Find the total length of the 8 columns. 8 x 5.00 m. = 40 meters 2. Referring to Table 1-4 , using class A concrete for the 25 x 30 cm. column size: Multiply: Cement : 40 x . 675 - 27 bags : 40 x .038 = 1.5 cu. m. Sand Gravel : 40 x .075 = 3.0 cu. m. 1-9 POST AND FOOTING Structurally , post is always supported by a slab called footing. Estimating the quantity of materials could be done in two ways: 1. By the Volume Method 2. By the Linear Meter and Area Methods combined. ( Linear for the post and area for the slab. ) 21 - ILLUSTRATION 1 6 A concrete post 4.00 meters high with cross sectional dimensions of 20 cm . x 25 cm . is supported by a footing slab 20 cm. thick by 80 cm. square. Using class MA" concrete, find the quantity of concrete materials if there are 12 posts of the same size. 4.00 m. Li 25 cm. 80 cm . 20 cm. i 20 cm. 80 cm. 80 cm. FIGURE 1-5 SOLUTION: A , By the Volume Method 1. Find the volume of the 12 posts V * 12 x ( .20 x .25 ) x 4.00 m. V = 2.4 cu . m. 2. Solve for the volume of the slab. 22 V * 12 ( .20 x . 80 x .80) V * 1.54 cu. m. 3. Total volume of post and slab V = 2.4 + 1.54 = 3.94 cu. m. 4. Refer to Table 1-2. Using class A concrete and 40 kg. cement Multiply : Cement : 3.94 x 9.0 = 35.46 say 36 bags Sand : 3.94 x .50 - 1.97 say 2 cu. m. Gravel : 3.94 x 1.00 * 3.94 say 4 cu. m. B. Solution by the Linear and Area Method 1 . Solve for the total length of the 12 posts . L = 12 x 4.00 = 48 meters 2. Refer to Table 1-4 along the 20 x 25 cm. column size class A mixture ; Multiply: Cement : 48 x . 450 * 21.6 bags : 48 x .025 = 1.2 cu . m. Sand Gravel : 48 x . 050 = 2.4 cu. m. 3 . Find the total area of the footing slab 23 A = 12 x (. 80 x . 80 ) » 7.68 sq. m. 4 . Referring to Table 1- 3 , class A mixture , 20 cm. thick slab: Multiply: Cement : 7.68 x 1.800 = 13.824 : 7.68 x . 100 = .768 Sand Gravel : 7.68 x .200 = 1.540 5. Add the results of 2 and 4 Cement : 21.60 + 13.824 * 35.424 say 36 bags 1.20 + .768 = 1 97 say 2 cu. m. Sand Gravel : 2.40 + 1.54 - 3.94 say 4 cu. m. 30 cm. 30 cm. r —! ! Ft t L- j-l 3.00 m. l • W \\ i i ii « P 90 cm. I i F 4.00 m. I FIGURE 1-6 24 *» 80 cm — 15 cm ILLUSTRATION 1-7 From Figure 1-6, determine the number of 40 kg. cement, sand and gravel required using class "A" concrete for the footing and class "C" concrete for the flooring. SOLUTION ( By the Volume Method ) A ) Footing Slab 1. Solve for the volume of F V » .15 x . 80 x .80 V » .096 cu. m. 2. Total volume of 4 footing slab V< « .096 x 4 a 0.384 B) Pedestal 1. Solve for volume P V a .30 x .30 x .90 V a 0.81 cu. m. 2. Multiply oy 4 pcs = .081 x 4 a 0.324 a 0.708 cu. m. Total volume F & P 3. Referring to Table 1-2, using class "A” concrete: Multiply: 25 Cement Sand Gravel .708 x 9.0 - 6.37 bags .708 x .50 * .354 cu. m. .708 x 1.0 « .708 cu. m. C ) Concrete Floor Slab 1. Determine the volume of the concrete floor slab. V = . 10 x 3.00 x 4.00 V = 1.2 cu. m. 2. From Table 1-2, using class "C" mixture; Multiply: Cement : 1.2 x 6.0 * 7.2 bags : 1.2 x .50 - 0.6 cu. m. Sand Gravel : 1.2 x 1.0 = 1.2 cu. m. Summary of the Materials Cement : 6.37 + 7.2 * 13.57 say 14 bags : .354 + 0.6 = .95 cu. m. Sand Gravel : .708 + 1.2 * 1.9 cu. m. Problem Exercise Using the same problem of illustration 1-7 , solve for the quantity of cement at 50 kg . per bag , including the sand and gravel using the linear meter and the area method of estimating. Note: The quantity of cement that will be found in this problem exercise will not be equal to 14 bags as computed because the 26 problem calls for 50 kg. cement. However, the result could be checked and compared with by converting the number of 50 kg. cement found into kilograms divided by 40. The result must be equal to 13.7 or 14 bags cement MO RECTANGULAR COLUMN The estimating procedure for the square or rectangular column is practically the same . It could be either by the volume or linear meter methods depending upon the choice and convenience of the estimator . ILLUSTRATION 1 -8 A series of eight rectangular concrete column with cross sectional dimensions of 40 x 60 centimeters is supporting a beam. The column has a clear height of 5.00 meters from the floor line to the bottom line of the beam. Find the quantity of cement at 50 kg. per bag, including the sand and gravel using class "A" concrete . SOLUTION - I ( By the Linear Meter Method ) 1. Determine the total length of the eight columns. 8.00 m. x 5 m. ht. = 40 meters 2. Referring to Table 1-4 along the 40 x 60 cm. column size and using a 50 kg . c.ement class "A ” mixture: Multiply: 27 Cement : 40 x 1.680 = 67.2 say 68 bags : 40 x .120 - 4.8 say 5 cu. m. Sand Gravel : 40 x . 240 = 9.6 say 10 cu. m. r A 1 A I 5.00 m. I 40 cm 60 cm Cross Section A- A FIGURE 1-7 SOLUTION -2 (By Volume Method ) 1. Find the volume of the eight columns: V = 8 ( .40 x .60 ) x 5 m. ht . V = 9.60 cu . m. 2. Refer to Table 1-2. Using class A mixture ; 50 kg. cement Multiply : Cement : 9.60 x 7.0 = 67.2 say 68 bags Sand : 9.60 x .50 = 4.8 say 5 cu. m. Gravel : 9.60 x 1 . 0 « 9.6 say 10 cu. m. 28 1 - 11 RECTANGULAR BEAM AND GIRDER A Beam is defined as a strong horizontal piece of reinforced . concrete for spanning and supporting weights. On the otherhand a beam that is carrying or supporting another beam is called Girder. Similarly,the simplest way of estimating the materials for these type of structures is by the volume or the linear meter method. ILLUSTRATION 1 -9 From Figure 1-8, list down the materials required using class “A” concrete mixture. Girder £ £ s 8.00 m. OQ i tu OQ erA Girder A 12.00 m.. 50 cm. 75 cm. 40 cm. Girder Section A A FIGURE 1- 8 29 SOLUTION (By the Volume Method ) 1. Solve for the volume of the beam. V = 4 pcs . x .25 x .40 x 8.00 m. long V - 3.2 cu . m. 2. Find the volume of the girder . V = 2 pcs. x .50 x .75 x 12.00 m. V * 9 cu. m. 3. Total volume: add 1 & 2 3.2 + 9 » 12.2 cu. m. 4 . Refer to Table 1-2. Using 40 kg. cement class "A" concrete Multiply : Cement : 12.2 x 9 * 109.8 say 110 bags Sand : 12.2 x .50 - 6.1 cu. m. Gravel : 12.2 x I.OO 12.2 cu. m. 1-12 CIRCULAR COLUMN Estimating the quantity of materials for circular column is typically the same as the volume method for the square and rectangular column using Table 1 -2. However , Table 1- 5 was also prepared for the circular column to avail of the Linear Meter Method of estimating. 30 TABLE 1-5 QUANTITY OF CEMENT, SAND AND GRAVEL PER METER LENGTH OF CIRCULAR COLUMN Mixture Class Size cm. 40 kg. Cement 25 A . 442 . 636 30 35 40 45 . 866 1.131 1.431 1.767 50 55 2.138 2.545 2.986 3.464 3.976 4.524 5.107 5.726 7.069 60 65 70 75 80 85 90 100 B . 368 .530 .722 .942 1.193 1.473 1.782 2.121 2.488 2.866 3.313 3.770 4.256 4.771 5.890 50 kg. Cement A B .295 . 344 . 495 .424 .673 .577 .880 .754 .954 1.113 1.178 1.374 1.663 1.979 1.425 1.696 2.323 2.694 1.991 2.309 2.651 3.016 3.093 3.519 3.972 4.453 5.498 3.405 3.817 4.712 Sand Gravel cu. m. cu. m. .025 .059 .071 .096 .126 .159 .196 .238 .283 .332 .385 . 442 .503 .035 . 048 . 063 . 080 . 098 .119 .141 .166 .192 . 221 .251 . 284 . 318 . 393 . 567 .636 .785 r 6.00 m . A —I * 4.50 m. -}— I Circular Column FIGURE 1-9 31 Section A-A ILLUSTRATION 1 -10 A circular column with cross sectional diameter of 60 cm. has a clear height of 6.00 meters. Find the quantity of cement , sand and gravel required using class "A" concrete if there are 5 columns of the same size in a row. SOLUTION- 1 (By Volume Method ) 1. Solve for the cross sectional area of the circular column. A - TTr2 A = 3.1416 x 302 A = .283 sq. m. , 2. Find the volume of the 5 columns V = 5 pcs. x .283 x 6 m. V = 8.49 cu . m. 3. Refer to Table 1- 2. Using class “A” concrete . Multiply . Cement : 8.49 x 9.0 = 76.4 say 77 bags Sand : 8.49 x .50 = 4.25 say 5 cu. m. Gravel : 8.49 x 1.0 = 8.49 say 9 cu. m. SOLUTION -2 ( By the Linear Meter Method ) 1 Solve for the total length of the 5 circular columns. 32 L - pcs . x height L = 5 pcs. x 6.00 m = 30 meters 2. Refer to Table 1-6 along the 60 cm diameter column; Multiply : Cement : 30 x 2.545 = 76.3 say 77 bags . 30 x .141 = Sand 4.2 say 5 cu. m. Gravel : 30 x .283 » 8.49 say 9 cu. m. - 1 13 CONCRETE PIPES The quantity of materials for concrete pipes is determined through the following processes: 1. Find the net volume of the concrete. That is, by subtracting the volume occupied by the hole from the gross volume of the pipe . 2. Knowing the volume , refer to Table 1-2 to get the quantity of cement, sand and gravel or: 3. Use Table 1-6. Concrete Pipe 1.00 m. 33 ILLUSTRATION Ml A road construction requires 12 pcs. 90 cm diameter concrete pipe for drainage purposes. Determine the quantity of cement , sand and gravel required for the manufacture of said pipes using class "A" concrete, (excluding reinforcement which will be discussed later in chapter 3) d * 90 cm . 1.10 m. » Concrete Pipe SOLUTION -1 (By the Volume Method ) 1. Solve for the gross volume of the concrete pipe . V = . 7854 D2 h V = .7854 x 1.102 x 1.00 m. ht. V ” . 95 cu. m. 2. Solve for the volume of the hole . V = . 7854 x d2h 34 V = . 7854 x 902 x 100 m. ht. V = .636 cu . m. 3. Subtract the result of step 2 from step 1 to get the net volume of the concrete pipe. Vn - .95 - .636 = .314 cu. m. 4 . Total volume of the 12 pipes: Vt = 12 x .314 * 3.77 cu. m. 5 . Refer volume to Table 1-2. Using class "A" concrete; Multiply: Cement : 3.77 x 9.0 - 33.93 say 34 bags Sand : 3.77 x .50 = 1 88 say 2 cu. m. Gravel : 3.77 x 1.0 * 3.77 say 4 cu. m. SOLUTION - 2 ( By Linear Meter Method ) 1 . Referring to Table 1-6 , for a 90 cm. diameter pipe; Multiply given data by the number of pipes. Cement : 113.10 x 12 pipes = 1, 357.2 kg. Convert to bags of cement. Divide by 40 kg. 1,357.20 40 kg. „ 33.93 say 34 bags 2. Referring back to Table 1-6 , multiply 35 Sand : 12 pcs. x .157 = 1.88 say 2 cu. m. Gravel : 12 pcs. x .314 - 3.77 say 4 cu. m. TABLE 1-6 QUANTITY OF CEMENT, SAND AND GRAVEL PER PIPE IN KILOGRAMS Gravel Sand Cement in kilograms Diameter cu. m. cu. m. Class of Mixture cm B A D di 25 30 40 45 55 60 65 80 85 90 100 110 15 20 120 100 120 145 175 25 30 40 45 50 60 65 70 80 90 150 11.31 14.14 27.57 31.81 40.29 44.53 48.77 79.17 84 82 90.48 101.79 113.10 124.41 187 32 229.73 942 11.78 22.97 26.51 33.58 37.11 40,64 65.97 70.69 75.40 84.82 94.25 103.67 156.10 191,44 .038 . 0314 .0400 .0770 .044 .0884 . 056 . 118 .1120 .1240 . 1360 .2200 .2360 .126 .2510 .141 .157 .2830 .3140 .173 . 3460 . 260 .5200 .319 . 6380 .016 .020 .062 .068 .110 The values given in Table 1-6 for cement is in kilograms not in bags. The purpose of having it in kilogram is to make it easier to understand and comprehend say 7 kilos than 0.175 bags. Likewise for a problem involving only one or two small pipes, cement in kilogram is easier to calculate for mixing. 36 CHAPTER 2 MASONRY 2- 1 CONCRETE HOLLOW BLOCKS Concrete Hollow Blocks are classified as bearing and non-bearing blocks. Load bearing blocks are those whose thickness ranges from 15 cm. to 20 cm. and are used to carry toad aside from its own weight. Non-bearing blocks on the other hand, are blocks which are intended for walls, partitions , fences or dividers carrying its own weight whose thickness ranges from 7.5 cm. to 10 cm. - FIGURE 2 1 Concrete Hollow Blocks has three whole cells and two one half cells at both ends having a total of four. These cells vary in sizes as there are different manufacturers using different molds The 37 varying sizes of the cells will affect the estimated quantity of materials. For this reason, it is recommended that the bigger cell be adopted in the computations Estimating the materials required for concrete hollow block works, comprises of the following major items: 1. Quantity of the blocks. 2. Quantity of cement and sand mortar for block laying. 3. Cement , sand and gravel filler of the hollow core or cell. 4. Cement and fine sand for plastering. 5. Cement, sand and gravel for CHB footing and Pests. 6. Reinforcing steel bars. ILLUSTRATION 2- 1 From Figure 2-2, determine the number of 10 x 20 x 40 cm. concrete hollow blocks and the materials required for: a) Mortar for block laying b) Mortar filler for the hollow core or cells . c) Plastering d) Concrete for CHB and Post footings e) Reinforcement SOLUTION - 1 (By Fundamental Unit Method ) A. Concrete Hollow Blocks 1 . Divide the height of the fence by the height of one block 38 3.00 m. * 15 pcs. .20 - = 3S<> /»l 2 2. Divide the total length of the fence by the length of one block 20.00 m = 50 pcs. .40 3. Multiply the result of 1 and 2 15 x 50 * 750 pcs 3.00 m. 3.00 m. Mortar ^ 1 15 cm. 40 cm. FIGURE 2- 2 39 t TABLE 2-1 QUANTITY OF CEMENT AND SAND FOR MORTAR AND PLASTER MIXTURE PER CUBIC METER Cement in Baps Cta»» Mixture 40 kg. SO kg. A B C D 1:2 1: 3 1:4 1:5 18.0 12.0 9.0 14.5 9.5 7.5 7.0 6.0 Sand cu. m. 1.0 1.0 1.0 1.0 B. Mortar for Block Laying ( .0125 average thickness) 1. Find the volume of the mortar (one layer) V M x w x I V => .0125 x .10 x 20 m V = .025 cu. m. 2. Multiply the number of layers to get the total volume of the mortar: Total V = .025 x 15 layers V = .375 cu. m. 3. Refer to Table 2-1 using class B mixture 40 kg. cement Multiply: Cement : Sand .375 x 12 = 4.50 bags .375 x 1.0 = 0.375 cu. m. C. Mortar Filler for Hollow Cell 1. Find the volume of one cell 40 V * .05 x .075 x .20 V = .00075 cu.m. 5 cm. 20 cm. CHB Cell -4 7.5 cm. - FIGURE 2 3 2. Volume of 4 cells per block V * .00075 x 4 V » .003 cu. m. 3. Total volume of cells for 750 CHB V =* .003 x 750 V = 2.25 cu. m. 4 . Refer to Table 2-1 using class B mortar - 40 kg. cement Multiply: Cement : Sand 2.25 x 12 27 bags 2.25 x 1.0 - 2.25 cu. m. D. Plastering (at average of 16 mm. thick ) 1. Find the area of the fence (one side) 41 3.00 x 20 — 60 sq. m. 2. Find the area of the two sides 60 x 2 = 120 sq. m. 3. Solve for the volume V - 120 x .016 V - 1.92 cu. m. 4. Refer to Table 2-1 using class B mixture-40 kg. cement Multiply: Cement : Sand 1.92 x 12 * 23.04 bags 1.92 x 1.0 = 1.92 cu. m. E. Footing 1. Find the volume of the footing V• t x w x L V * .15 x .40 x 20.00 V « 1.20 cu. m. 2. Refer to Table 1-2 using class "B" concrete 40 kg . cement Multiply: Cement : 1.20 x 7.50 « 9.00 bags Sand : 1.20 x .50 = .60 cu. m. Gravel : 1.20 x 1.00 * 1.20 cu. m. 42 Summary of the Materials 1. CHB 2. 40 kg. Cement 3. Sand 4 . Gravel 750 pcs. 63.54 say 64 bags 5.14 cu.m. 1.20 cu.m. Note: The steel reinforcement will be discussed separately in Sec. 3-4, Chapter 3. TABLE 2-2 QUANTITY OF CEMENT AND SAND FOR CHB MORTAR PER SQUARE METER WALL Bags Cement 40 Kg. 50 Kg. Mixture Siz ofCHB Number Mixture Sand sq Per . m . cm. B C C cu.m. D B D 10 x 20 x 40 0.525 0.394 0.328 0.416 0.306 0.263 . 0438 12.5 1.013 0.759 0.633 0.802 0.591 0.506 .0844 15 x 20 x 40 12.5 12.5 20 x 20 x 40 1.500 1.125 0.938 1.138 0.875 0.750 .1250 ; The problem of illustration 2-1 can be be solved by the Area Methods with the aid of Table 2-2 and 2-3 , thus, consider ; SOLUTION - 2 A. Concrete Hollow Blocks 1 . Find the area of the fence 3.00 x 20.00 m. = 60 sq. m. 43 2. Refer to Table 2-2 , multiply: 60. x 12.5 = 750 pcs. CHB B. Mortar For Block Laying and filler of the cell 1. Referring to Table 2-2 using class "B" mixture 40 kg. cement Multiply: Cement : 60 x .525 : 60 x .0438 Sand * 31.5 bags * 2.63 cu. m. C. Plaster Mortar 1. Find the area to be plastered 60 x 2 = 120 sq. m. two faces 2. Referring to Table 2-4 using class "B" mixture 40 kg. cement Multiply: Cement : 120 x .192 s 23.04 bags Sand : 120 x .016 * 1.92 cu. m. D. Footing 1 . Determine the total length of the footing: = 20 m. 2. Referring to Table 2-3 using class "B" concrete: For a 15 x 40 cm. Footing, Multiply: 44 Cement: 20 m. x .450 « 9.0 bags Sand : 20 m. x .030 * .60 cu. m. Gravel : 20 m. x .060 » 1.20 cu. m. Summary of the Materials 1 . Concrete Hollow Blocks . . . 750 pcs. 63.5 say 64 bags 2. 40 kg. Cement 3. Sand 5.15 cu. m. 4. Gravel 1.20 cu. m. - TABLE 2 3 QUANTITY OF CEMENT, SAND AND GRAVEL FOR CHB FOOTING PER LINEAR METER Dimension Cement in Bags cm. Class Mixture Aggegate kg 40 kg. Cement Sand Gravel 50 . Cement t w A B cu. m. cu. m. A B 10 10 10 10 15 15 15 15 20 20 20 30 .270 .225 .210 . 180 . 015 . 030 35 .315 .263 .245 . 018 . 035 40 . 360 .300 .280 . 210 . 240 . 040 50 .450 40 45 . 540 .608 .675 . 810 .720 . 900 1.080 .380 .450 . 350 .420 .473 .525 . 020 . 025 . 030 .034 .038 .045 . 040 50 60 40 50 60 .506 .563 . 300 . 360 .405 .450 .630 .540 . 480 . 750 .560 . 700 .900 . 840 .675 .600 .600 .720 . 050 . 060 . 050 .060 . 068 .075 .090 .080 . 100 . 120 - TABLE 2 4 QUANTITY OF CEMENT AND SAND FOR PLASTERING PER SQUARE METER Sand Cement in Bags Class 40 kg. Cement 50 kg . Cement cu. m Mixture .232 .288 A . 152 .192 B C .144 .112 . 096 D . 120 * Thickness computed at an average of 16 mm. . 016 016 .016 .016 ILLUSTRATION 2- 2 From Figure 2-5 find the quantity of 15 x 20 x 40 cm concrete hollow blocks , cement (40 kg. per bag ), sand and gravel required using class B mixture by the area method . FIGURE 2-5 SOLUTION: A.) Concrete Hollow Blocks 46 ^ Solve for the net wall area: . A = Perimeter x Height A * (20 + 20 + 15 + 10 ) x 2.00 m. ht. A = 65.00 x 2.00 m. A = 130 sq. m. 2. Determine the number of hollow blocks. Refer to Table 2-2 using class B mixture: Multiply: 130 sq. m. x 12.5 pcs. - 1 ,625 pcs. B. Mortar for Block Laying 1. Using class B mortar , solve for cement (at 40 kg.) and sand. R efer to Table 2-2 under size 15 x 20 x 40 CHB; Multiply : Cement : Sand : 130 x 1.013 = 131.7 say 132 bags 130 x .0844 = 10.9 say 11 cu. m. C. Plastering 1. Area of one face wall = 130 sq. m. Area of Two faces x 2 - 260 sq. m. 2. Referring to Table 2-4 , using class B mortar; Multiply: Cement : 260 x .192 * 49.9 say 50 bags Sand : 260 x .016 = 4.16 cu. m. 47 D. CHB Footing 1. The wall perimeter is 65.00 m. Referring »•/ Table 2-3, using 15 x 40 cm. footing class B mixture; Multiply: Cement : 65 x .450 = 29.25 say >0 bags Sand : 65 x .030 = 1.95 say 2 cu. m Gravel : 65 x .050 = 3.90 say 4 cu. m. SUMMARY 15 x 20 x 40 cm. Concret Hollow Block* Cement at 40 kg. Sand Grave! - pcs. —- 1,625 212 begs 18 on. m. 4 cu. m. ILLUSTRATION 2-3 - From Figure 2 6 prepare the bill of materials using class B mixture. 20 s 2500 = ==- CHB 200 2500 Ground Line 500 * 10.00 40 " 10.00 FIGURE 2-6 48 1« papi SOLUTION (By the Area Method) A. Concrete Hollow Blocks 1. Find the total length or perimeter of the fence p ~ 95 m. 2. Subtract the space occupied by the posts 95 - (20 posts x .20) = 95 - 4 - 91 m. net length 3. Solve for the net area of the fence A. = 2.40 x 91 m. A * 218.4 sq. m. 4 . Referring to Table 2-2, determine the number of 10 x 20 x 40 cm. CHB. Multiply: CHB : 218.4 x 12.5 - 2,730 pcs. B. Cement mortar for Block Laying and Cell Filler 1. Referring to Table 2-2 using class "B" mixture 40 kg. cement Multiply: Cement : 218.4 x .525 Sand : 218.4 x .0438 49 = 114.66 bags = 9.57 cu. m. . C Plastering of the fence to ground line only (2.00 m.) 1. Solve for the area to be plastered (two sides) A. = Ht. x Perimeter A. = 2.00 x 91 m. A. 182 sq. m. one face Two faces: 182 x 2 = 364 sq. m. - 2. Referring to Table 2-4, using class "B" mixture, soVe for the quantity of cement and sand. Multiply: . Cement : 364 x 192 = 69.88 say 70 bags : 364 x .016 = 5.82 say 6 cu. m. Sand D. Footing of Posts -( .60 x .60 square ) 1. Solve for the volume of the footing V= t x w L * V = .15 x .60 x .60 x 20 posts V = 1.08 cu. m 2. Referring to Table 1-2 class " B" mixture Multiply: Cement : 1.08 x 7.50 = 8.1 bags Sand : 1.08 x 50 = 0.54 cu. m. Gravel : 1.08 x 1.00 = 1.08 cu. m. 50 E. CHB Footing 1. Total length of the fence less the space occupied by the post footings { .60 x .60 m.} 95 m. - ( .60 x 19 posts ) = 95 - 11.40 = 83 . 60 m. Note: The number of post is only 19 instead of 20 pieces because the two posts at the gate entrance occupies one half of the hollow block footing, ( see figure). 2. Referring to Table 2-3 using 40 kg. cement class "8" mixture 10 x 40 cm. Footing. Multiply: Cement Sand Gravel 83.6 x .300 = 25 bags 83.6 x .020 * 1.67 cu. m. 83.6 x . 040 = 3.34 cu. m. F. Concrete Post 1. Solve for the volume .20 x .20 x 2.40 x 20 posts * 1.92 cu. m. 2. From Table 1-2 using class "BM mixture 40 kg. cement. Multiply : Cement : 1.92 x 7.5 = 14.4 bags Sand : 1.92 x 50 * .96 cu. m. Gravel : 1.92 x 1.0 = 1.92 cu. m. 51 . G Plastering of the Post (if necessary ) 1. Solve for the surface area of the post less the area occupied by the CHB {.20 x 2.00 } see Figure 2 6 - .60 x 2.00 m. ht. x 20 posts = 24 sq. m. 2. Referring to Table 2-4 using class "B" mixture 40 kg. cement Multiply: Cement : 24 x .192 * 4.60 bags Sand : 24 x .016 = 0.384 cu. m. Summary Concrete Hollow Blocks 2,730 pieces Cement . . . . 237 bags Sand . . . . 19.10 cu. m. Gravel 6.34 cu. m. 35 i 300 60 70 1 100 ^ 4 v. 120 70 35 Q B 1 120 I I 210 A 270 I Natural Ground 60 f 600 - FIGURE 2 7 52 Footing line ILLUSTRATION 2-4 From Figure 2-7 prepare the bill of materials using class B concrete and class C mortar . SOLUTION A. Concrete Hollow Blocks 1. Find the area of wall "A" A - 6.00 x ( 2.70 + . 50 + .60 ) * 22.80 sq. m. 2. Find the area of wall "B" B * 3.50 x (3.00 + .35 + .60 ) = 13,825 sq. m. 36.625 sq. m. Total area of A & B 3. Less Area of the windows W -1 * 2.10 x 1.20 * 2.52 sq . m. W -2 * .70 x 1.20 * .84 sq. m. Total Area of W-1 and W-2 Net wall area * 3.360 sq. m. 33.265 sq. m. 4 . Referring to Table 2-2, multiply: CHB: 33.265 x 12.5 * 415.8 say 416 pcs. B. Cement Mortar 53 - Referring to Table 2 2 using class "C” mixture 40 kg. cement Multiply: = 25.24 bags Cement : 33.265 x .759 : 33.265 x .084 Sand - 2.8 cu. m. C. Cement Plaster 1. Referring to Table 2-4 using class C Mixture: Multiply: - Cement : 33.265 x .144 4.79 bags Sand : 33.265 x .016 = 0.53 cu. m. D. Footings 1. Total length of the wall = 9.50 m. 2. Referring to Table 2-3 for a {15 x 40} footing using class "B" concrete Multiply: Cement Sand Gravel 9.50 x .450 * 4.28 bags 9.50 x .030 = 0.28 cu. m. 9.50 x .060 = 0.57 cu. m. Other factors that might affect the estimated quantity of materials 1. Improper measure of aggregates during the block laying work. The most common attitude of the worker is to mix sand and gravel with cement disregarding the measuring box . 54 2. Sometimes the mason prepares a box for measuring sand or gravel not in accordance with the specified measurement. 3. Addition of cement to over exposed mixed mortar not used or applied on time. 4. The excess mortar for installation of hollow blocks are usually dumped in a certain corner of the construction site. This is a common practice especially after working hours where no overtime pay is authorized. These are considered as minor things in the construction work which are simply overlooked, but summing them up for a months work will surprisingly result to a figure beyond expectation affecting the estimate. Table 2-5 and Table 2-6 are presented to simplify further the estimating methods in determining the quantity of materials from block laying to the plastering work. The special feature of these tables is that the materials like cement and sand are given per hundred pieces not by the area method as previously presented. - TABLE 2 5 QUANTITY OF CEMENT AND SAND PER 100 CHB MORTAR Cement in Bags Mixture CHB Size 40 kg. Cement 50 kg. Cement Sand C cm. 8 0 C B cu. m. D 10 x 20 x 40 4.200 3.152 2.624 3.328 2.448 2.104 0.350 8.104 6.072 5.064 6.416 4.728 4.048 0.676 15 x 20 x 40 20 x 20 x 40 12.000 9.000 7.504 9.504 7.000 6.000 1.000 55 TABLE 2-6 QUANTITY OF CEMENT AND SAND PER 100 CHB PLASTER * Cement in Bags Mixture 40 kg. Cement 50 kg. Cement C A A B C B No. of Face plastered 2.304 4.608 One face Two face 1.536 3.072 1.152 1.856 1.216 2.304 3.712 2.432 0.896 1.792 Sand cu. m. 0.128 0.256 * Plaster thickness at an average of 16 mm. ILLUSTRATION 2-5 From figure 2-8, determine the quantity of 15 cm. (6") concrete hollow blocks, cement and sand required using class C mixture . 60.00 m. l , 1\ I zrzi\ i I i / CHB Wall T Cement Plaster E 8 l K Ground Line J» Footing line V FIGURE 2-8 56 SOLUTION A. Concrete Hollow Blocks 1. Determine the area of the fence 2.00 x 60 m. - 120 sq . m. 2. Referring to Table 2-2. Multiply: CHB: 120 x 12.5 * 1 ,500 pcs. . B Cement Mortar 1. Divide: 1 ,500 " ioo ’15 " 2. From Table 2-5, using a 40 kg. cement: Multiply : Cement. 15 x 6.072 = 91 bags Sand : 15 x 0.675 10.125 cu . m. = . C Cement Plaster (One Face) 1. From Table 2-6 , using a 40 kg . cement classs "C" mortar; Multiply : Cement : 15 x 1.152 = 17.30 say 18 bags Sand : 15 x 0.128 = 1.92 say 2 cu . m . 57 2-2 SPECIAL TYPES OF CONCRETE HOLLOW BLOCKS The common and ordinary type of concrete hollow blocks are those with three hollow cells as explained in Section 2-1 . However , There are concrete hollow blocks which are especially designed for architectural and structural purposes , one of which is the concrete blocks with two ceils. The purpose of manufacturing the concrete hollow blocks with two celts is to fill the hollow core with concrete not just by a mortar but concrete which is a mixture of mortar and gravel. This is how the special type of CHB differs from that of the ordinary CHB. Estimating procedure for these types of hollow blocks is similar with that of the ordinary blocks using the constant value of 12 5 pcs per square meter. For the half block, the constant value is 25 pieces per square meter although it is determined through direct counting. The thickness of the blocks has no participation whatsoever in estimating the number of pieces required because what is being considered is the exposed side of the blocks. The thickness however, has a direct effect on the quantity of mortar and concrete filler for the hollow core or cells. Table 2-7 was prepared for a more simplified methods of estimating. Example of special types of concrete hollow blocks are: 1. 2- core Stretcher Blocks with thickness that varies from 15 cm. to 20 cm. thickness. 2. 2-core L-Corner Block 3. 2-core Single End Block 4 . Half Block 5. Beam Block 58 X 2 Core Stretcher Block ' 19 XI v s ^ 14 ‘ 2 Core L-Comer Block Single End 8lock 14 , Half Block * 39 1 19 J> Beam Block 1 Half Block '9 39 19 > Beam Block Special Types of Hollow Blocks FUGURE 2-9 59 Single End Block TABLE 2-7 QUANTITY OF CEMENT, SAND AND GRAVEL PER HUNDRED SPECIAL TYPES OF CONCRETE HOLLOW BLOCKS T CHB Size in Cm. Stretcher Block 2-core - 20 cm. 2-core - 15 cm. L - Corner Block 2-core - 20 cm. 2- core - 15 cm. 40 kg. Cement Mortar Class of Mixture C D B Sand Gravel 4.32 4.06 .67 .83 6.23 7.20 4.88 . 30 25 8.67 5.90 6.87 4.67 5.78 3.89 .60 . 93 .41 .65 8.85 6.12 6.98 .63 .90 .44 .60 4.2 4.82 3.15 5.82 4.02 2.63 Half Block 20 x 20 cm , 15 x 15 cm. 3.98 2.70 3.15 2.14 2.63 1.78 .28 .16 .45 Beam Block 2-core - 20 cm. 2-core - 15 cm. A 8.78 5.85 B 7.32 4.88 C 5.85 3.90 Sand . 49 Gravel . 98 .65 Single End Block 2-core - 20 cm. 2-core - 15 cm. 2-core - 10 cm. 9.19 .35 . 33 . 30 Mortar: - A mixture of cement and sand used for block laying. Concrete: - A mixture of cement , sand and gravel use to fill hollow core or cells. Values given - combination of mortar for block laying and concrete for hollow core filler. 60 ILLUSTRATION 2-6 From Figure 2-10 determine the number of 40 kg . cement, sand and gravel required including the following type of blocks: a) 2-core 15 cm. Stretcher blocks b) 2-core 15 cm. Single end block c) 15 cm. Half block d) 15 cm. Beam block * 0.00 m 4.80 m. 4.80 m. FIGURE 2-10 SOLUTION: A ) Find the Number of Blocks 1. Determine the total wall area: A » 4.80 m. ht. x wall perimeter 61 A * 4.80 x 32 m. A * 153.6 sq. m. 2. Solve for the total total number of blocks. Refer to Table 2-2 Multiply: 153.6 x 12.5 pcs. per sq. m. - 1 ,920 pcs. This 1, 920 pcs. comprises at! the types of blocks from stretcher to half blocks except the beam blocks. The next step is to find the number of single end block and half block to be subtracted from 1,920 pcs . 3. Solve for the number of single end blocks. Add the total height of the 4 comers. Total length 4.80 x 4 = 19.2 meters 4. Divide by the height of one block which is 20 cm. 19.20 .20 * 96 pcs. single end block. 5. Solve for the number of half block: 4 corners at 4.80 m. = 19.20 m. divide by the height of one block (.20m.) .20 * 96 pcs. 2 end Wall at entrance - $.60 divide by the height of one block ( .20 ) .20 = 48 pcs. = 24 pcs. Divide by 2 2 62 48 pcs was divided by 2 because the half block on this end wail is alternate with the whole block , ( see figure) 6. Get the total number of half block. 96 pcs + 24 pcs. = 120 pcs. half blocks. Convert this into whole block size - 60 pcs. 7. Add the Single End Blocks and the converted half blocks. 96 + 60 = 156 this value now will be subtracted to the 1920 pcs. 1,920 - 156 = 1764 pcs. is now the total number of 2- core stretcher blocks. Note: In step no. 2 we solve for the entire quantity of hollow blocks in the wall and we get 1,920 pcs. If we will subtract the number of half block , it should be converted to whole size block to have a common unit of measure. Thus, we divide 120 pcs. by 2 and we get 60 pcs. 8. Solve for the number of Beam Blocks: Perimeter = Number of blocks .40 m. length of one block 36.0 m .40 - 90 pcs. beam block 9. The final list of blocks will be: 1745 pcs. 15 cm. 2- core stretcher blocks 63 96 pcs. 15 cm. Single end blocks 120 pcs 15 cm. Half blocks 90 pcs. 15 cm. x 20 x 40 cm. beam blocks B) Solve for Cement, Sand and Gravel Referring to Table 2-7, convert the quantity to 100 pcs. and using class B mixture: Multiply: 1745 * 17.5 x 6.23 = 108.7 bags for 2-core stretcher blocks 100 96 * .96 x 6.12 = 5.9 bags- Single end block 100 120 = 1.20 x 2.70 = 3.3 bags - for Half blocks 100 90 = .90 x 5.85 = 5.3 bags- for Beam blocks 100 Total . . . 123.2 say 124 bags cement Sand Gravel 17.30 x .25 = 4.30 cu. m. .96 x .60 = .58 " " 1.20 x .30 = .36 " .90 x .65 * .59 " ’• 5.83 cu. m. 17.50 x .30 * 5.13 cu m. .96 x .44 = .43 " 1.20 x .16 = .19 " " .90 x .33 = .30 " " Total . . . . 6.05 cu m. M - 64 2-3 DECORATIVE CONCRETE BLOCKS Decorative blocks are made out from either cement mortar or clay . These type of construction materials had been widely used for ventilation and decorative purposes . TABLE 2-8 QUANTITY OF DECORATIVE BLOCKS, CEMENT AND SAND FOR BLOCK LAYING MORTAR Size Number 40 kg. Cement Mortar Sand cm. per sq. m. Class Mixture per 5 x 10 5 x 15 5 x 20 5 x 25 10 x 20 10 x 25 10 x 30 200 133 100 A B 100 Blk. 180 . 270 . 120 .010 . 180 . 015 240 . 300 . 480 .600 .720 . 020 . . 360 80 .450 50 40 33 . 720 . 900 1.080 . . 025 . 040 . 050 . 060 TA BLE 2-9 QUANTITY OF CEMENT AND SAND FOR VARIOUS TYPES OF BRICKS PER HUNDRED BLOCKS Size cm. t h xI * 6 x 12 x 19 10 x 14 x 19 10 x 14 x 23 10 x 24 x 24 10 x 14 x 39 10 x 19 x 39 Number 40 kg. Cement per 100 Blocks per sq. m. Mixture Class A B 38.5 . 346 . 230 33.3 . 612 . 408 27.8 684 . 456 160 . 882 . 588 16.7 . 972 . 648 1.062 12.5 . 708 65 Sand per 100 blks. . 0192 .0340 . 0380 . 0490 . 0540 .0590 ITALIAN 55 x 215 x 125 mm BOLIVIAN 100 x 160 x 180 mm 100 x 140 X 240 mm MSpf 5 or dbti CJ££J [ cy?& ii#?43 DO o OOOPO^ Cfetll 100 x 250 x 250 mm CORINTHIAN ROMAN 100 . x 230 x 250 mm FIGURE 2- 11 66 m mm 9 @s JOSEPHINE 100 x 250 x 250 mm A SKMS8 . ASG 100 x 250 x 250 mm 057ZI] CI/MZJ OOTZ3 CJ&YZ1 a a n?z3 cr /ra cr^'a I croT3 cw^a I OkVXJ ama cra o| POO ci o' jj 0.9 13 IQ9£)| 1176 a3 aw a vjsIn o,^ crmra |CTAO jc7A o AUM 100 x 250 x 250 mm EGYPTIAN 100 x 250 x 250 mm ayjD ^ ^- . . - . .- 3 83 S3 S a (Jo oLJo QUO °O“l“0S “?oQ2 EkoliFfcfi 100 x 250 x 250 mm PERSIAN FIGURE 2-12 67 - 2 4 ADOBE STONE Adobe Stone is commonly used for fencing materials as substitute to concrete hollow blocks for economic reasons. Lately however, the used of adobe stone is no longer limited to the ordinary zocalo and fencing work but also extensively used as finishing and decorative materials for the exterior and interior of buildings. Adobe Stone T J.. :; - T IS re.*.- H - FIGURE 2 13 The use of adobe stone for buttresses, cross footings , fences and stairs minimizes the use of mortar filler . Plastering is sometimes disregarded specially when the design calls for exposure of the natural texture of the stones. 68 TABLE 2-10 QUANTITY OF CEMENT AND SAND FOR ADOBE MORTAR PER SQUARE METER * Size No. 40 kg. Cement 50 kg. Cement cm. / sq. Class Mixture Class Mixture Sand B C D cu. m m. B C D 1 5 x 1 5 x 4 5 . 2808 . 2106 . 1756 . 2220 . 1638 . 1404 1 5 x 2 0 x 4 5 .2520 .1890 . 1575 . 1995 . 1470 .1260 1 5 x 3 0 x 3 0 .2280 . 1708 . 1423 . 1803 .1328 .1139 8 1 5 x 3 0 x 4 0 .2079 . 1559 . 1299T . 1646 . 1213 . 1040 6.5 1 5 x 3 0 x 4 5 . 1901 . 1426 . 1188 . 1505 .1109 . 0951 12 10 11 .0234 . 0210 .0190 . 0173 . 0158 * Average thickness = 20 mm TABLE Ml QUANTITY OF ADOBE STONE, CEMENT AND SAND FOR BUTTRESSES AND FOOTINGS Buttress and Footing Buttress cross Section 30 x 45 45 x 45 45 x 60 45 x 75 45 x 95 No . Cement Mortar per Stone Mixture Class Number 40 kg. Cement of stone Course per m, ht. of 2 3 4 5 6 12 18 24 30 36 B C D .027 .0203 .017 .029 .0220 .018 027 .0203 .017 . .032 .0240 .020 .034 .0253 . 021 SO kg. Cement B C D Sand cu. m . .0214 .016 .014 .0230 .017 .015 .0214 .016 .014 .0250 .018 .016 .0270 .020 .017 .0023 .0025 .0023 .0026 .0028 ILLUSTRATION 2- 7 From Figure 2-14 compute for the quantity of adobe stone , cement and sand using class C mixture. 69 _ JTF 500 . . 500 500 15 15 15 30 Buttress 30 15 15 rf > l ~ r 15 150 Buttress . . — Ground Line 50 Footing 45 4” FIGURE 2- 14 SOLUTION A. Adobe Stone Fence 1. Determine the net length of the fence minus the space occupied by the buttresses 15.00 m. - { . 30 x 3 post } - 14.1 m. 2. Solve for the net area 14.10 m. x 2.00 m. ht. = 28.20 sq. m. 70 3. Referring to Table 2-10, using a 1 5 x 1 5 x 4 5 cm. stone; Multiply: 28.20 x 12 - 338.4 ssay 339 pcs. 4. Total height of the four posts 2.00 x 4 post « 8.00 m. 5. From Table 2-11 using 30 x 45 cm. buttresses; Multiply: 8.00 m. x 12 pcs. per meter ht. ~ 96 pcs. plus the adobe stone footing per buttress or post. 96 + ( 4 pcs. x 4 posts ) “ 112 pcs. 6. Determine the length of the fence less the area occupied by the buttress footing. 15.00 m. - (.45 x 3 ) = 13.65 m. 7. Multiply by 6 stone per meter length 13.65 X 6 = 82 pcs. B. Cement Mortar 1. Wall Fence Area = 28.20 sq, m. Referring to Table 2- 10, using class C mixture 40 kg. cement; Multiply : Cement : 28.20 x .2106 = 5.9 say 6 bags. Sand : 28.20 x .0234 « .66 say . 7 cu. m. 71 2. Buttress (post) and Footing - 112 pcs. Referring to Table 2- 11 using class ”CM mixture 40 kg. cement; Multiply: Cement : 112 x . 0203 * 2.3 bags Sand : 112 x .0023 = .26 cu. m. 3. Fence footing = 82 pcs. Referring to Table 2- 11; Multiply : Cement : 82 x .0203 * 1.7 bags : 82 x .0023 = . 18 cu m. Sand . C Cement Plaster: ( One Face ) 1 . Determine the total surface area of the wall plus the surface area of the buttress to be plastered . (15.00 m. + .45) + {.15 x 8} = 16.65 m. 2. Solve for the area Length x height * 16.65 m. x 1.50 m. = 25 sq. m. From Table 2-12 using class "C” mixture; Multiply : Cement : 25 x .225 = 5.6 bags Sand : 25 x .025 * .63 cu. m. 72 3. Multiply the result by two if two sides are to be plastered. Cement : 5.60 x 2 = 11.2 bags Sand : 0.63 x 2 = 1.3 cu. m. Summary Adobe stone. Cement Sand 629 pcs. 21.2 say 22 bags 2.4 cu. m. TABLE 2-12 QUANTITY OF CEMENT AND SAND FOR PLASTERING PER SQUARE METER Bag Cement and Mixture C!ass 40 kg. Cement 50 kg. Cement B C D B C D Side One face Two Faces . 300 600 . 225 . 450 . . 188 . 375 238 . 476 . Sand cu. m. . 175 . 150 . 025 . 350 . 300 . 025 Problem Exercise From Figure 2-15, Determine the quantity of the following materials: 1.15 x 20 x 45 adobe stone 2 . Buttresses and Footings 73 3. Cement for: a. Mortar and b. Plastering 4 . Sand FIGURE 2-15 74 CHAPTER 3 METAL REINFORCEMENT - 3 1 STEEL BARS Steel is the most widely used reinforcing material for almost all types of concrete construction . It is an excellent partner of concrete in resisting both tension and compression stresses. Comparatively , steel is ten times stronger than concrete in resisting compression load and hundred times stronger in tensile stresses. The design of concrete assumes that concrete and steel reinforcement acts together in resisting load and likewise to be in the state of simultaneous deformation , otherwise, the steel bars might slip from the concrete in the absence of sufficient bond due to excessive load . In order to provide a higher degree of sufficient bond between the two materials, steel reinforcing bars with a surface deformation in various designs are introduced. ' :Vl i Types of Deformed Bars FIGURE 3-1 75 wl ‘ i- TABLE 3-1 STANDARD WEIGHT OF PLAIN OR DEFORMED ROUND STEEL BARS IN KILOGRAMS Dtam. 5.0 m 6.0 m 7.5 m 9.0 m 8 mm 10 mm 12 mm 13 mm 16 mm 1.96 3.08 2.37 2.96 3.70 5.33 6.25 9.47 14.80 23.12 4.62 6.66 3.56 5.54 4.15 6.47 4.74 7.39 5.33 8.32 9.32 10.94 16.58 10.66 11.84 18.50 28.90 11.99 14.07 21.32 33.29 52.02 29.00 36.25 33.29 41.62 7.99 9.38 14.21 22.19 34.68 43.50 49.94 37.88 47.35 56.62 58.26 66.29 47.95 59.93 71.92 83.91 20 mm 25 mm 28 mm 30 mm 32 mm 36 mm 4.44 5.21 7.90 12.33 19.27 24.17 27.75 31.57 39.96 7.83 10.5 m 12.0 m 13.5 m 12.50 25.89 18.95 29.59 40.46 50.75 46.24 58.00 65.25 74.91 66.59 75.76 8523 95.89 107.88 - TABLE 3 2 DEFORMATION REQUIREMENTS T Max. Average Height Tolerance Diameter Spacing of luge Minimum Maximum 8 7.0 10 7.0 8.4 0.3 0.4 05 0.6 0.7 1.0 1.2 14 0.6 0.8 1.0 1.2 1.4 15 30 1.6 18 32 Nominal 12 13 16 20 25 28 30 32 36 9.1 11.2 14 0 17 5 196 21 0 22.4 24.5 ! i 76 2.0 2.4 28 36 Max Value Summation of lug& gap 5.5 7.8 9.4 10.2 12.6 15.7 19.6 22.0 236 25.1 27.5 - TABLE 3 2A MECHANICAL PROPERTIES Yield Strength Class Grade Tensile Elongation Bending Diameter Strength Specimen in 200 mm Angle of Pin percent Degree d^nominal MPa MPa mm mm mm. min. dia. at specimen Hot Rolled 230 Non Weldable def- 275 Steel Bar 415 230 390 275 480 415 020 D < 25 D > 25 D < 25 D > 25 D < 25 18 16 10 8 180 D > 25 7 20 180 390 D < 25 275 480 D > 25 D < 25 D < 25 415 550 Hot Rolled 230 Weldable 275 Def. or Plain bar 230 415 D < 25 D > 25 180 180 8 18 16 14 14 12 180 180 3d 4d 4d 5d 5d 6d 3d 4d 4d 5d 5d 6d 3-2 IDENTIFICATION OF STEEL BARS Steel reinforcing bars are provided with distinctive markings which identify the name of the manufacturer with its initial and the bar size number including the type of steel bars such as: N « For Billet A - For Axle Rail Sign = For Rail Steel 77 — Main Ribs tnitial of Manufacturer — N - -M Bar Size -6 Steel Type A Grade Mark 0 Grade 40 Grade 50 One Line - Grade SO Two Line - Grade 75 Steel Bars Marking System FIGURE 3-2 3-3 BAR SPLICE, HOOK ANTI BFNH In estimating the quantity of the steel reinforcing bars, one has to consider the additional length for the hook , the bend and the splice whose length vanes depending upon the limitation as provided for by the National Building Code . Types of Reinforcement 1. Tension Bars 2. Compression Bars Minimum Splice length * 25 x Bar Size + 150 mm. * 20 x Bar Size + 150 mm. ILLUSTRATION 3- 1 Determine the length ot the splice joint for a 16 mm. steel bars under the following conditions: 78 a) Tensile reinforcement of a beam b) Compressive reinforcement of a column SOLUTION 3- 1 a) Classification of the reinforcement is under tension. Thus, Multiply: 25 x 16 mm + 150 mm. » 550 mm. b) For reinforcement under compression Multiply: 20 x 16 mm + 150 mm * 470 mm I h * 9d cir n = 5d 0f 2d| 4d l P / k-t Hook Hook Length - L+ Bend h for hook Mild Steel Minimum Hook and Bend Allowance^ j g = ri d h = 11d I 4d 1 n = 5.5d 6d i I *A 3d 9 7 Hook Bend Hook Length » L + n for Bend High Yield Bars Minimum Kook and Bend Allowance - FIGURE 3 3 79 A L = 2A 3B +22d B A IU L * 2 ( A B ) 20d = 1 Total Length =A B C A Id ~1 A Total Length * A + B + C D B Total Length * A + B 1/2 r d - B Length * A + 2B + C - - D 2r 4d - FIGURE 3 4 80 - A— A Total Length * A ' 1 71 i Total Length = A h h B l Total Length = A ,a V r A 2h r A i Total Length = A + h % A I Total Length = A + B - 1/2 r - d h r 1 Total Length = A + 2h -A B dlc I B \ C Total Length = A + B + C - r - 2d Total Length = A + B C C —^ FIGURE 3-5 81 Comments: 1. To those who have not been exposed to detail drafting work nor actual field construction of reinforced concrete will find it difficult to make a detailed estimate of the various reinforcement required. The difficulties lies not on the ability of the estimator to compute but his inability to familiarize with the different types and parts of the reinforcement that comprises the footings, columns, beams, slab etc. 2. The various parts of reinforcement that an estimator should be familiar with are Concrete Hollow Block Reinforcement is the simplest type of vertical and horizontal reinforcement in between cells and layers of the blocks respectively . Footing Reinforcements comprises the following: 1. Footing slab reinforcement for small and medium size. 2. Beam reinforcement for large foundations 3. Dowels Post and Column Reinforcement: 1. Main vertical reinforcement 2. Lateral ties a. Outer ties b. Inner ties 82 c. Straight ties 3. Spiral ties Beam and Girder Reinforcement 1. Main reinforcement a. Straight bars b. Bend bars 2. Stirrups a . Open stirrups b. Closed stirrups 3. Cut Bars a. Over and across the support b. Between supports c. Dowels Floor Slab Reinforcement 1. Main Reinforcement a . Straight main reinforcing bars b. Main alternate reinforcing bend bars 2. Temperature Bars 3. Cut additional alternate bars over support (beam) 4. Dowels. Not until after familiarizing with these different types of reinforcement could one make a sound and reliable estimate. Estimating steel bar reinforcements could be done with the following procedures: 83 1. The main reinforcement for post , columns, beams, girders and the like , is determined by the " Direct Counting Method” .Thai is, by counting the number of main reinforcement in one post , column or beam as the case maybe then multiplied by the total number of the same category in the plan . The additional length for hook , bend and splices for lapping should not be overlooked as it is always the case in ordering length. 2. For other structural member such as lateral ties, stirrups , spirals , dowels, cut bars and the like should be treated separately , one at a time. The length of their cut must include the mandatory additional length for hook and bend. TABLE 3-3 AREAS OF GROUPS OF REINFORCING BARS Bar Number of Bars ( mm)2 Dia. 6 28 2 57 8 50 101 151 201 251 302 10 79 157 236 314 393 12 113 226 339 452 565 16 402 603 804 1005 20 201 314 471 679 1206 628 942 1257 1571 1885 25 491 1963 2454 32 982 1473 804 1608 2412 3216 40 1256 2513 3769 5026 1 3 4 5 6 7 6 9 10 85 113 141 170 198 254 452 283 352 550 226 402 628 707 905 503 792 1407 2199 1017 785 1131 1608 1809 2011 2513 2827 3142 3436 3927 4418 4909 4021 2945 4825 5629 6433 7237 8042 6283 7539 8796 1005 1131 1257 3. After knowing the length of the lateral ties, stirrups, and othersmilar parts, select the steel bars to be ordered from the various commercial length of from 5.00 meters to 13.50 84 meters long avoiding extra cuts which might be classified as junk unless they could be of service or used on other structural members. 4. Tie wire for reinforcement joints and intersections is a big item of large construction work considering its cost. Cutting of each tie wire should be done to the minimum required length based from the diameter of the bars to be tied with. - 3 4 REINFORCEMENT FOR CONCRETE HOLLOW BLOCKS Steel bars as reinforcement is a requirement in all types of concrete and masonry structures of which concrete hollow blocks is one. The National Building Code has promulgated guidelines on how and what kind of reinforcement is appropriate for this type of work depending upon the purpose it is to serve. The size and spacing requirements for concrete hollow block reinforcement must be indicated on the plan or specifications. The number of steel bars for concrete hollow block work coukt be determined in three ways: 1. By Direct Counting Method 2. By the Unit Block Method 3. By the Area Method Under the Direct Counting Method the vertical and horizontal reinforcements are directly counted in the plan. The length is also determined from the the plan or elevation although, the hook, bend and lapping splices are imaginably added to its 85 length because it is very very rare to see a plan with a large scale detailed drawing showing this particular requirements of reinforcing steel bars. Thus, estimators must be familiar with the hook, bend and splicing requirements to be able to work on effectively even if the plan is not accompanied with such details . The Area and Unit Block Method Is the simplest method of computing the steel bar reinforcement for CHB with the aid of Table 3-4. The values presented in this table includes the allowances required for standard bend, hook and splices. ILLUSTRATION 3-2 From Figure 3-6, determine the number of 10 cm.(4") concrete hollow blocks including the 10 mm vertical and horizontal reinforcing bars required if it is spaced at 80 cm. on center and one horizontal bars at every after three layers respectively . CHB Vertical Relnf. © 80 cm . o. c. CHB rizontef Relnf -- fteverv 3 layers . i 2 60 m T\ \ IZE £ 4 00 m FIGURE 3-6 86 Natural Ground 40 cm - Footino 1st SOLUTION (By the Square Meter or Area Method) 1. Solve for the area of the fence A = length x height A = 4.00 x 3.00 A = 12 sq. m. 2. For vertical reinforcement spaced at 80 cm. on center; Refer to Table 3-4. By the square meter or area method, Multiply: 12 x 1.60 = 19. 2 meters 3. Convert this value to the commercial length of steel bars ranging from 5.00 to 13.50 meters long. Select the most economical length avoiding extra cut. Select: 4 pcs. 10 mm. x 5.00 m. long = 20 meters 4. Horizontal bars at every after 3 layers. From Table 3-4 , Multiply: 12 x 2.15 * 25.80 meters Select: 4 pcs. at 5.00 m. and 1 pc. at 6.00 m. long 5. Order: 8 pcs. 10 mm x 5.00 m. Steel bars 1 pcs. 10 mm. x 6.00 m. Steel bars 87 TABLE 3-4 LENGTH OF STEEL BAR REINFORCEMENT FOR CONCRETE HOLLOW BLOCK WORK Vertical Reinforcement Horizontal Reinforcement Length of Bars in Meter Spacing Length of Bars in Meter cm. Per Block Layers Per Block Per Sq. M. 40 60 80 0.235 2 3 4 0.264 0.172 0.138 3.30 2.15 1 72 Spacing 0.171 0.128 Per Sq. M. 2.93 2.13 1.60 2nd SOLUTION (By the Unit Block Method) 1. Solve for the area of the fence A = 4 x 3.00 A = 12 sq. m. 2. Determine the number of CHB 12 x 12.5 = 150 pcs. 3. Referring to Table 3-4 a) Vertical Reinforcement per block spaced at .80 m. o.c. Multiply: 150 x 0.128 = 19.2 meters Select: 4 pcs. 10 mm. x 5.00 m. long 88 b} Horizontal bars at every after 3 layers Referring to Table 3-4 , Multiply: 150 x 0.172 = 25.8 m. c} Convert to commercial length Select: 4 pcs. 10 mm x 5.00 m. long and 1 pc. 10 mm x 6.00 m. long 4. Order: 8 pcs. 10 mm x 5.00 m. and 1 pcs. 10 mm x 6.00 m. Steel bars 3-5 TIE WIRE FOR STEEL REINFORCEMENT Tie wire refers to gauge No. 16 galvanized iron wire popularly called G.l. tie wire. Tie wire is used to secure the steel bars in its designed position before accepting fresh concrete . Ordering tie wire is not by feet or meter length but in kilograms or roil. One roll is equivalent to 40 to 45 kilograms or approximately 2,285 meters or 53 meters per kilogram. The length of each tie wire depends upon the size of the bars to be tied on. However, tie wire is cut into length ranging from 20 to 40 centimeters for small and medium size steel bars. This is one item of construction materials which is always included in the bill of materials but never computed. The quantity 89 is determined through a more or less calculation. In short, it is a quantity with uncertainty of its accuracy . The only thing that is certain is either it is over estimated or under estimated which is as bad as the other The problem is how to determine the number of kilograms required which when cut into pieces as ties will be sufficient enough to provide adequate ties to all joints as required by the Code. Tie wire for CHB Reinforcement. The common size of steel reinforcement specified for concrete hollow block work is either 10 mm, 12 mm , 13 mm or 16 mm depending upon the plan and specifications. For these particular size of reinforcement, a 25 cm. or 30 cm. long tie wire folded at the center will be satisfactory. TABLE 3-5 KILOGRAMS OF NO. 16 TIE WIRE FOR CHB REINFORCEMENT Vertical Spacing Horizontal Layer Spacing 40 40 40 2 3 4 2 3 4 2 3 4 60 60 60 80 80 80 Kilogram per 100 CHB 30 cm. ties 25 cm. ties .0042 .0051 .0031 .0038 .0028 .0033 .0028 .0021 .0034 .0018 .0022 .0021 . 0025 .0019 . 0017 0016 .0014 . 90 .0025 ILLUSTRATION 3-3 Continuing the solution of illustration 3- 2 and from the following data obtained , determine the quantity of tie wire required in kilograms. Vertical Reinforcement spacing = 80 cm. Horizontal Reinforcement spacing at every 3 layers Area of the wall “ 12 sq. m. SOLUTION 3-3 1. Determine the number of CHB 12 x 12.5 - 150 pcs. 2. Referring to Table 3-5 , using a 25 cm. long tie wire, Multiply : 150 x . 0016 = .24 kg . No. 16 G.l. tie wire More of this tie wire example will be presented in the succeeding examples of steel reinforcement. 3-6 INDEPENDENT FOOTING REINFORCEMENT Independent footing is an Individual or Isolated footing. The steel bar reinforcement for this type of structure is determined through the following methods: 1. Know the actual dimensions of the footing as to its length and width. 91 2. Remember that the minimum underground protective covering of concrete to the steel reinforcement is 7.5 cm. 3. If the plan does not call for a hook or bend of the footing reinforcement , the length of the bar is equal to the length or width of the footing minus the protective covering at both ends. - Footing Slab s hr ./ :- | \ • • v* . ^ Steel Bars ReinfC~ steel Bars Reinf""*)- .: 1 5 • < £§> .5 cm I 7.5 cm 7.5 cm -L- ^ *3% 1.5 cm Length of Bar * L Length of Bar = l 2 (7.5 cm) FIGURE 3- 7 FIGURE 3*8 4 If the plan calls for a hook or bend of the reinforcement, the bar-cut should include the allowances for hook and bend as presented in Figure 3-4 and 3-5 . S. Know the spacing distance of the steel bars both ways to determine the exact number required . As much as possible, select the appropriate steel bar length which is divisible by the cut length to avoid unwanted extra cuts. Various problems in computing for the steel bar reinforcement will be encountered because of varied measurements and designs. Problems however , usually arise on reinforcing members which requires cutting and bending . Others could be determined by the Direct Counting Method specially those which does not require hook , and bend . 92 ILLUSTRATION 3-4 From Figure 3-9 , determine the number of 12 mm. steel bars required if there are 6 footings with a general dimensions of 1.50 x 1.50 meters. . 4 i 1.50 m 1.35 m 7.5 cm 12 mm steel bars 1.50 m. - FIGURE 3 9 - SOLUTION 3 4 1 . The net length of one reinforcing cut bar is, 1.50 - (.075 + .075 ) = 1.35 2. Find the total number of cut bars in one footing . By direct counting 13 x 2 = 26 pcs. 93 7.5 cm Get the total number of bars for the 6 footings. 26 x 6 = 156 pcs. at 1.35 m. long 4 . Select the steel bars whose length is economically cut into 1.35 m. long. Say 6.00 meters. 6.00 m, = 4.44 pcs. 1.35 m. The fractional value of .44 is inevitable , but should not be included in the computation because it is less than one cut bar length. Use the whole value of 4.0 thus, 5. Divide the result of step 3 by 4.0 156 = 39 pcs. of 12 mm. x 6.00 m. 4.0 The common error committed in estimating the number of steel bars is presented below . Using the same data we have : 1. The net length of one cut reinforcing bar is 1.35 m. long. 2. Total number of bars in one footing is 13 x 2 - 26 pcs. 3 . Total number of cut bars for 6 footings 26 x 6 - 156 pcs. 94 4 . The total length of these cut bars In meter Is: 156 x 1.35 * 210.6 m. 5 . Converting this length to commercial steel bar length say 6.00 m. 210.6 m. = 35 pcs. steel bars 6.00 m. Analysis: Comparing the results of the two estimating procedures, the answers has a difference of 4 pieces steel bars at 6.00 meters long. This is the result by including the fractional amount of . 44 as divisor of the reinforcing bar length. The second procedure could be correct if the quotient in dividing the length of one commercial steel bar by the length of one cut bar yields a whole value, on the contrary, if the result has a fractional amount, the second procedure will not give a correct answer. The following illustration is an example where the second procedure applies. ILLUSTRATION 3-5 From Figure 3-10, determine the number of 12 mm steel bars including the tie wire In kilograms if there are 20 pcs. independent square footing with a general dimensions of 1.15 x 1.15 meters. 95 r P~DT 12 mm Steel Bars TT | y u-U 1.15 m. L = 1.20 m. i t > 1.15 m. FIGURE 3-10 SOLUTION 3-5 1. Determine the net length of one reinforcing cut-bar 1.00 m. + .20 m. - 1.20 m. 2. Total cut-bars in one footing 6 x 2 - 12 pcs. 3. Total cut-bars for 20 footings 12 x 20 = 240 pcs. 4. Total length of all the bars 240 x 1.20 = 288 meters 96 5. Divide the above result by the length of one steel bar say 6.00 meters. 288 6.00 * 48 pcs. Order: 48 pcs. 12 mm x 6.00 m. long steel bars Solving the same problem by the 1st procedure, we have: 1. Net length of one reinforcing cut bar = 1.20 m. 2. Total bars in one footing 6 x 2 = 12 pcs . 3. Total for 20 footings 12 x 20 = 240 pcs. 4. Divide the commercial length of one steel bar by the length of one cut bar; 6.00 * 5 pcs . 1.20 This simply means that 5 pcs. at 1.20 meter long reinforcing bar could be taken from a 6.00 meters long steel bar, thus, 5. Divide the total cut bars for 20 footings by 5 97 240 = 48 pieces 5 The question now is when to use the first procedure and when to adopt the second procedure. In determining alone what procedure to adopt is an additional burden, to avoid such confusion, the following rules will help in making the right choice. . 1 Determine the net length of one reinforcing cut bar 2. Divide 6.00 m. or any chosen commercial length of steel bar by the result of step 1. 3. If the result is a whole number (exact value) use the second procedure. 4. If the result has a fractional value, adopt the first procedure. Considering illustration 3-5, Tie Wire could be determined through the following steps: 1. Find the number of steel bar intersections in one footing 6 x 6 - 36 ties 2. Total Ties for 20 footings 20 x 36 = 720 ties 3. Using 25 cm. length per tie wire Multiply: 98 720 x . 25 m. = 180 meters 4 . One kilo of No . 16 G.l . wire is approximately 53 meters long . Divide 180 = 3 4 kilos 53 3- 7 POST AND COLUMN REINFORCEMENT The reinforcement of posts and columns to be considered in the estimates are: 1. The Main or Vertical Reinforcement 2. The Lateral Ties or 3. The Spiral Ties for Circular Column The quantity aha length of the main reinforcement is determined by the ” Direct Counting Method giving special attention to the additional length for: a . Lap joints of end splices. b. Allowance for bending and or hook. c. Additional length for the beam depth and floor thickness if the height indicated in the building plan is from floor to ceiling. d. Distance from floor to footing. e. Provisions for splices of i succeeding floors. 99 Floor Slab r Beam Add Length 1' Lap Joint -• < Column FIGURE 3-11 - 3 8 BEAMS AND GIRDERS REINFORCEMENT The "Direct Counting Method" is the best method in determining the main reinforcement for beams and girders. Provided that, in determining the length of steel bars, the following physical conditions of the beam in relation with their support must be considered. 1. Verify from the plan if the span of the column where the beam is resting indicates the following conditions: a) Center to Center of the column b) Outer to center of the column c) Outer to Outer of the column 100 Each physical condition of the beam must be given special attention in determining the length of steel bars 2. Verify the splicing position of the reinforcement if it is adjusted to the commercial length of steel bars. Remember that 'The Lesser the splice the lesser is the cost" 3. Identify the bars with bend and hook, for adjustment of their order length. Beam Beam - - Column — * Center to Center Center to Outer Side Beam Beam * — Column Outer to Outer side Inside to Inside Span of Beam FIGURE 3-12 101 3-9 LATERAL TIES Tied column has reinforcement consisting of vertical bars held in a position by lateral reinforcement called Lateral Ties. The ACI Code so provides that: " AU non-prestressed bars for tied column shall be enclosed by lateral ties of at least No. 3. in size for longitudinal bars No. 10 or smaller and at least No. 4 in size for No. 11 to 18 and bundled longitudinal bars." The Code provisions simply mean that; a.) If the main longitudinal reinforcement of a tied column is No. 10 bar or smaller in size, the Lateral Ties should not be smaller than No . 3 steel bar in size. b) If the main reinforcement of tied column is No. 11 to No. 18 and bundled bars, Lateral Ties should not be less than No. 4 steel bar . Steel Bars Diameter Inches mm. (approx . ) 1/4 6 3/8 10 1/2 13 5/8 16 Number Designation 2 3 4 5 6 7 3/4 7/8 1.0 1 1/8 1 1/4 8 9 10 102 19 22 25 28 31 11 12 13 14 15 16 1 3/8 1 1/2 1 5/8 1 3/4 1 7/ 8 2.0 17 2 1 /8 2 1/4 18 35 38 41 44 47 50 53 56 The ACI Code further provides that, spacing of the lateral ties shall not exceed the following: 1.16 x the longitudinal bar diameter 2. 48 x lateral tie bar diameter or 3. The least dimension of the column ILLUSTRATION 3-6 Determine the spacing of the lateral ties for a tied column as shown in Figure 3-13. SOLUTION 3-6 1. Diameter of the. main longitudinal bars is 20 mm. 103 2. Diameter of the lateral ties is 10 mm. 3. Multiply : 16 x 20 = 320 mm. 48 x 10 = 480 mm. Shortest side of the column = 300 mm. 4 . Adopt the least value of 300 mm or 30 cm. spacing 20 mm 10 mm Lateral Ties 30 cm - »- Column Reinforcement T cm X cm X 1 FIGURE 3-13 ILLUSTRATION 3-7 A building has a series of 26 square columns having a cross sectional dimensions of 30 x 30 cm. 7.00 m. long with 8 pieces 20 mm vertical reinforcing bars for each column . Make an order of 10 mm steel bars required for making the lateral ties. 104 30 ciTi . - ».[ Column Reinforcement O 30 cm 10 mm Lateral Ties O 0 - Col. Reinf. O T 30 cm. 10 mm Lateral Ties FIGURE 3-14 SOLUTION 3-7 1. Determine the spacing of the lateral ties. 16 x 20 mm. = 320 mm. or 32 cm. 48 x 10 mm. = 480 mm. or 48 cm. The shortest side of the column is = 30 cm. 2. Adopt the 30 cm. spacing 3. Determine the number of lateral ties in one column 7.00 m. ht. « 23.3 pcs. .30 105 4. The 23 pcs. is the distance between the lateral ties, what we need is the number of ties in one column, so, we add one to be exact. 23 + 1 - 24 pcs. 5. Solve for the total ties of the 26 columns. 26 x 24 * 624 pcs. 6. Find the length of one lateral tie. By inspection the tie is 120 cm. long or 1.20 m. 7. Determine the number of 1.20 m. cut from a 6.00 m. commercial length steel bar 6.00 = 5 pcs. 1.20 8. Divide the result of 5 by result of 7 624 = 124.8 say 125 pcs. 5 9. Order: 125 pcs. of 10 mm x 6.00 m. steel bars. ILLUSTRATION 3- 8 From Figure 3- 15 prepare an order of 10 mm. steel bars for making the lateral ties. 106 30 cm Col . Reinf . - I 30 cm ' T " Lateral Tie* 30 cm 1_ ... - FIGURE 3 15 - SOLUTION 3 8 I . This problem is an improvement of illustration 3-7 Where the outer ties have been found to be 125 pcs. 10 mm. x 6.00 m. What is to be determined here is the inner ties. 2. By inspection the length of the inner tie is 83 cm. 3. Determine how many 83 cm. could be cut in a 6.00 m. steel bar . 600 = 7.23 pcs . 83 107 4. Disregard the fractional value of .23 accept 7 pcs. and Divide: 624 pcs. by 7 pcs. (See 5 of illustration 3-7) 624 - 89 pcs. of 10mm. x 6.00 m. 7 5. Total: 125 + 89 = 214 pcs. of 10 mm x 6.00 steel bars ILLUSTRATION 3-9 From Figure 3-16 prepare an order of 10 mm steel bars for making the lateral ties including the tie wire required. ir 40 cm -TJ. JLL ?HF - — Outer Ties Straight Ties -5 p i h r au c Inner Ties 25 cm 25 cm 1 n V, FIGURE 3- 16 108 Given Data: Number of Columns Size Clear Height Ties Spacing = 16 pcs . = 25 x 40 cm. 4.60 m. = 25 cm. = SOLUTION 3-9 1. By inspection , there are 3 types of ties: a) Outer ties = 1 2 0 cm. long b) Inner ties = 85 cm. long c) Straight Ties = 50 cm. long 2. Determine how many 120 cm., 85 cm. and 50 cm. long could be made out from one 6.00 m. steel bar . Outer ties: Inner ties: Straight ties: 600 ~ 120 600 = 5 pcs. 7 pcs. 85 600 = 12 pcs. 50 3. Determine the number of ties in one column 4.60 m: ht. * 18.4 say 19 pcs. .25 m. spacing 109 4 . Total ties for 16 columns 19 x 16 = 304 pcs. 5. Divide 304 by each type of tie (in step 2) 304 = 60.8 say 61 pcs. 5 304 = 43.4 say 44 pcs. 7 304 = 25.3 say 26 pcs 12 6. Order: 131 pcs. of 10 mm x 6.00 m. steel bars. Note: The values found in step 5 was rounded to the next whole number having the sum of 131 pcs . steel bars. 7. Solving for the tie wire: a) Number of Joints per lateral tie by direct counting = 12. b) Number of ties in a column 12 x 19 = 228 pcs. c) Total tie wire for the 16 columns 228 x 16 = 3 ,648 pcs. . d) Multiply by the length of each tie wire say 30 cm. 110 - TABLE 3-6 NUMBER OF LATERAL TIES IN ONE STEEL BAR AND QUANTITY PER METER LENGTH OF COLUMN NUMBER OF CUT IN ONE STEEL BAR LENGTH 5.0 m. 6.0 m. 7.5 m . 9.0 m. 12.0 m. Spacing of Number of Length of Lateral Lateral Ties Ties with Ties cm. PerM. Ht. Hook & Bend 15 6.70 60 70 80 x 7 85 90 95 100 105 20 25 30 35 40 45 50 55 60 5.15 4.13 3.43 3.00 2.64 2.36 2.14 1.96 1.81 10 X 15 x x x x x 11 x x 7 x X X 8 10 20 17 15 14 13 5 x X X X 5 6 x 9 12 x x 7 x X x x X 8 X x 5 5 X X X x X 10 6 x x x x x X X 9 X x X X X 4 4 4 x x X X 5 5 6 6 x 8 x x X X X X 5 7 6 110 115 120 125 130 135 140 145 150 160 170 180 190 x x x X 4 5 X 3 X X 200 x 3 x X 6 6 4 4 X x 3 - X Not advisable length for economical reasons. 111 3,648 x ,30 m. = 1,094.4 m. e}. Divide by 53 m. length of tie wire per kilogram 1 , 094.4 53 - 20.6 say 21 kilograms of No . 16 G.l wire Table 3-6 was prepared to simplify further the estimate for column lateral ties and stirrups for beams and girders . It will be noted that there are x- entry in the Table which simply mean that such length of steel bars is not recommended for economical reasons. The main objective of this Table is to guide the estimator in selecting reinforcing bar whose commercial length when divided by the length of each lateral tie will avoid extra cut of unwanted size. To use the table , consider the following example . ILLUSTRATION 3- 10 A building has 12 columns with a cross sectional dimensions of 30 cm, x 40 cm. each with a clear height of 7.00 meters . Prepare an order of 10 mm steel bars for the lateral ties spaced at 20 cm. SOLUTION 3-10 1. By inspection there are two types of lateral ties a) outer ties * 125 cm. long with hook b) inside ties = 80 cm. long with hook 112 30 cm Col. Reinf . 40 cm 10 mm Lateral Ties 20 cm i 20 mm col. Reinf. FIGURE 3-17 2. Find the total length of the 12 columns 12 x 7.00 m. = 84.00 meters 3. Referring to Table 3-6 under spacing at 20 cm. Multiply: 84 x 5.15 = 432 pcs. 4 . Referring to Table 3-6, fcr a 125 cm. outer ties Divide: 113 432 = 72 pcs. 10 mm x 7.50 m. bars 6 or 432 = 108 pcs. 10 mm x 5.00 m. bars 4 5 . From Table 3-6 for the 80 cm. Inside ties Divide: 432 = 72 pcs. 10 mm. x 5.00 m. bars 6 6. Order: 72 pcs. 10 mm. x 7.50 m. steel bars 72 pcs. 10 mm x 5.00 m. steel bars Solving for the Tie Wire, we have; 1. Total number of lateral ties 2. Total number of vertical reinforcement 3. Multiply: 432 x 8 = 3 ,456 4 . If the length of each tie is 40 cm. Multiply: 3,456 x 40 m. = 1,382.4 meters , 114 = 432 8 = 5 . Divide by 53 meters ( the length of tie wire in one kilo) . 1,382.4 = 26 kilograms 53 3- 10 STIRRUPS FOR BEAM AND GIRDER Stirrup is the structural reinforcing member that holds or binds together the main reinforcement of a beam or girder to a designed position. The two types of stirrups commonly used are: 1 . Open Stirrups 2. Closed stirrups ^ ffi) Closed Stirrups Open Stirrups FIGURE 3-18 115 The methods in estimating the number of stirrups required is the same as that of the lateral ties as explained in Article 3-9 with the aid of Table 3-6. However , the spacing of the stirrups could not be determined by the linear meter method because the spacing of stirrups become closer as it approaches the beam support. The number of stirrups is best determined by direct counting per span by categories according to the design as indicated in the detailed drawings. ILLUSTRATION 3-11 A concrete beam with a cross-sectional dimension of 25 x 40 cm. requires 10 mm. open stirrups spaced as shown in Figure 3- 19 Prepare an order of 10 mm. steel bars for stirrups of 8 beams with the same category . irum ¥ Bend Bars Beam ~ v I - - 4 l/l i i ITT E3 M j i I Main Reinforcement i! Column —•“ I > ! . M FIGURE 3-19 116 SOLUTION 3-11 1. By direct counting, there are 24 stirrups at 98 cm. say 1.00 m. long 2. Total number of stirrups 24 x 8 beams = 1 9 2 pcs. 3. Referring to Table 3-6 for a 1.00 m. long stirrups using a 5.00 m. long steel bars. Divide: 192 = 38.4 pcs. 10 mm. x 5.00 m. 5 or using a 6.00 m. long steel bars. Divide: 192 = 32.0 pcs. 10 mm x 6.00 m. 6 4 . Order : 32 pcs. of 10 mm x 6.00 m. steel bars Comment; If 5.00 m. steel bar is chosen, the order will be 39 pcs. not 38.4 because we cannot order . 4 steel bar. After cutting the stirrups there will be an excess of .6 of 5.00 meter steel bar which is equivalent to 3.00 meters long. Thus, in order to be exact, a 6.00 meter steel bar should be chosen. 117 3- 11 SPIRAL AND COLUMN TIES The spiral reinforcement consist of evenly spaced continuous spirals held firmly in place by at least three vertical bar spacers under the following considerations: 1. That, the center to center spacing of this spiral should not exceed 6th part of the diameter core. 2 . That, the dear spacing between the spirals should not exceed 7.5 cm. nor less than 5.0 cm. or, 3. The clear spacing between the spirals be less than one and one half ( 1 1/2) times the biggest size of the coarse aggregate (gravel). ILLUSTRATION 3- 12 A spiral column with a cross sectional diameter of 50 cm. requires 10 mm spiral reinforcement as shown in Figure 3-20. If there are 14 columns at 7.00 meters high find the number of 10 mm steel bars needed for a 5.00 cm. pitch spirals. , SOLUTION 3-12 A. Spiral Reinforcement 1 . Find the total length of the 14 columns 7 x 14 = 98 meters 118 2. From Table 3-7 for a 50 cm. column diameter 5.00 cm. pitch Multiply : 98 x 3.223 = 315.8 say 316 pcs . 3. Order: 316 pcs . 10 mm x 9. CO m. steel bars . Column Reinf. — Spiral Ties 50 cm — » t i 5 cm Pitch h Spiral Column FIGURE 3 * 20 B. Tic Wire 1. Find the number of vertical bars per column - 12 2 Refer to Table 3-7 . Along 50 cm column diameter , 5 cm. pitch, the number of turn per meter height is 21. Multiply : 12 x 21 = 252 ties per meter height. 119 3. Total tie wire for 14 column bar intersections at 7.00 m. ht. 252 x 7.00 m. x 14 = 24 ,696 pcs 4. Total length of the wire at .30 m. long per tie wire 24,696 x .30 * 7,409 m. 5. Convert to kilogram at 53 m. long per kg. Divide: 7409 = 139.8 say 140 kgs. 53 6 . Order: 140 kilograms of No. 16 G.l. wire TABLE 3-7 NUMBER OF SPIRAL REINFORCING BARS PER METER HEIGHT * Col. Dia. cm. Pitch cm. No. or Turn per Meter Ht. 21.0 2.604 1.706 30.0 5.00 6.25 7.50 17.0 14.3 2.108 1.381 1.778 1.165 1.269 1.027 0.866 5.00 21.0 2.894 6.25 17.0 2.342 1.896 1 535 1.410 1.141 7.50 14.3 1.975 1.294 0.962 5.00 625 7.50 21.0 3.183 2.577 2.172 2.085 1.688 1 423 1.550 1.255 1.058 32.5 35.0 17.0 14.3 120 Number of Steel Bars from a 6.00 m. 9.00 m. 12.00 m. 37.5 5.00 6.25 7.50 21.0 17.0 14.3 3.472 2.811 2.370 2.275 1.842 1.524 1.692 1.393 1.154 40.0 5.00 6.25 7.50 21.0 17.0 3.762 3.045 1 833 1.484 14.3 2.567 2.465 1.995 1 682 5.00 6.25 7.50 21.0 4.051 3.281 2:765 2.654 2.149 1.812 1.974 1.598 1.347 5.00 6.25 7.50 21.0 4.340 3.513 2.962 2.844 2.302 1.940 2.115 1.712 500 6.25 7.50 21.0 17.0 14.3 4.630 3.033 2.256 3.748 3.159 2.455 2.070 1.826 1.539 5.00 6.25 21.0 17.0 7.50 14.3 4919 3982 3.357 3.223 2.609 2.199 2.397 1.940 1.635 5.00 6.25 21.0 17.0 7.50 14.3 5.498 4.451 3.752 3.602 2.916 2.458 2.678 2.168 1.828 5.00 21.0 6.25 7.50 17.0 14.3 6.077 4.919 4.146 3.981 3.223 2.717 2.960 2.396 2.020 5.00 6.25 7.50 21.G 17.0 14.3 7.234 5.856 4.936 4.740 3.837 3.234 3.524 42.5 45.0 47.5 50.0 55.0 60.0 70.0 17.0 14.3 17.0 14.3 121 1.251 1.443 2.853 2.405 80.0 90.0 100 5.00 6.25 7.50 21.0 5.00 6.25 21.0 17.0 7.50 14.3 5.00 21.0 17.0 14.3 6.25 7.50 17.0 14.3 8.391 6.793 5.726 5.498 9.549 7.730 6.366 6.256 10.706 7.014 8.667 7.137 5.678 4.451 3.752 5.064 4.171 4.676 4.088 3.310 2.790 4.652 3.766 3.101 5.216 4.222 3.477 * Values given includes the end-l ap or splice allowance. 3- 12 ONE WAY REINFORCED CONCRETE SLAB The one way reinforcement of concrete slab is adopted when the concrete beams or girders that supports the floor slab is almost or rectangular in shape. Solution can either be by direct counting or by the area method. ILLUSTRATION 3- 13 From Figure 3-21, determine the number of steel bars for a one way reinforcement slab including the tie wires required. SOLUTION 3- 13 1 . Given Data: Spacing of Main Reinforcement = 150 mm. (15 . cm.) 122 Temperature Bars Spacing Size of the Reinforcement Type of reinforcement I = 250 mm. (25 cm.) = 12 mm. diameter = Oneway ” 1 075 m . Cut Bars Bars Wl . I l 4 30 m Straight Kars 2.15 m . ' Bend Bars t 1 rfl ^ Cut Bars I ‘ 1.075 m 4.70 m . One Way Slab Reinforcement FIGURE 3- 21 2. Determine the number of Main Reinforcements. 4.70 + 1 = 32.33 pcs . at 5.00 m. long steel bars .15 Note: In dividing the span by the bar spacing, what is found is the number of spacing. Add one ( 1) to get the number of steel bars . 3. Determine the length of the alternate cut bars to be installed in between the main reinforcement. 123 1.075 + .175 (hook) * 1.25 meters 4. Using a 5.00 m. steel bars,divide: 5.00 = 4 pcs. (number of cut bars taken from one 1.25 steel bar) 5. Divide: Step 2 by step 4 32.33 = 8 pcs. at 5.00 m. steel bar 4 6. Total Main Reinforcing Bars 32.33 + 8 * 40.33 pcs. 7. Solve for the Temperature bars at 2.15 m. span 2.15 + 1 = 9.6 say 10 pcs. .25 8. Temperature bars at 1.075 span 1.075 + 1 = 5.3 pcs. . 25 9. Multiply by 2 layers at 2 sides 5.3 x 4 - 21.2 pcs. 10. Add result of 6 and 9 9.6 + 21.2 = 30.8 pcs. 124 11. Summary total of 6 and 10 40.33 + 30.8 = 71.1 pcs. 12 mm. x 5.00 m. steel bars. Order: 72 pcs. 12 mm x 5.00 m. steel bars. TA BLE 3-8 QUANTITY OF STEEL BARS AND TIE WIRES IN A ONE WAY REINFORCED CONCRETE SLAB - Bar Spacing Number of Steel Bars per Square Meter Length of Tie Wire / sq. m. cm. 5.0 m. 6.0 m. 7.50 m. 9.0 m. 12.0 m. 25 cm. 30 cm. 10.0 4.493 3.911 3.524 3.247 3.039 3.667 3.186 2.866 2.637 2.465 2.332 2.225 2.138 2.065 2.856 2.483 1.669 2.320 2.015 1.812 1.667 1.558 1.473 1.405 1.350 1.612 1.304 12.5 15.0 17.5 20.0 22.5 25.0 27.5 2.878 2.749 30.0 2.554 2.643 2.234 2.056 1.192 1.819 1.737 1.834 1.593 1.433 1.319 1.233 . 141 .291 .236 . 195 . 169 . 126 . 152 1.166 1.113 .111 .101 .133 .121 1.069 1.033 .091 . 109 .086 . 103 2nd SOLUTION ( By the Area Method ) 1. Solve for the area of the floor 4.70 x 4.30 * 20.21 sq. m. 125 . 242 . 197 . 163 2. Referring to Table 3-8 using a 5.00 m. bars at 18 cm. spacing . Multiply : 20.21 x 3.524 * 71.2 pcs 3 . Order: 72 pcs. 12 mm deformed steel bars. Solving for the tie wires at 25 cm. o.c. 1. Referring to Table 3- 8 Multiply : 20.21 x .163 = 3.29 kgs. 2. Order: 4 kgs. No . 16 G .I . wire 3- 13 TWO WAY REINFORCED CONCRETE SLAB A two way reinforced concrete slab is adopted when the beam or girder that supports the concrete floor slab is almost or square in shape or position. ILLUSTRATION 3- 14 From Figure 3-22, determine the number of 13 mm steel bars and tie wire required . 126 1.80 m 7.20 m ^ 1.80 m 7.20 m. I Two Way Slab Reinforcement FIGURE 3-22 - SOLUTION 3 14 1. Solve for the main reinforcement 3.60 + 1 = 37 pcs. .10 2. There are.two way - run of reinforcement 37 x 2 = 74 pcs. steel bars 127 I Straight Bar# 3. For cut bars at 1.87 m. long, 4 pcs . can be obtained in a 7.50 m. commercial steel bar. Divide : 74 = 18.5 pcs. steel bars 4 ' 4. Temperature bars at 1.80 m. span 1.80 + 1 = 8.2 pcs. . 25 5 . Multiply by 4 sides at 2 layers 8.2 x 8 - 65.6 pcs. 6 . Summary total of step 2.3 and 5 74 + 18.5 + 65.6 = 158 pcs. 2nd SOLUTION ( By the area Method ) 1. Area of the floor slab: 7.20 x 7.20 = 51.84 sq . m. 2. Referring to Table 3- 9 , for a 7.50 m. steel bars at t o cm. spacing ; Multiply : 51.84 x 3.050 = 158 pcs. 126 3. Order: 158 pcs, 13 mm x 7.50 m. steel bars Solve for No. 16 G.l. tie wire cut at 30 cm. 1. Referring to Table 3-9; Multiply: 51.84 x . 437 = 22.65 say 23 kilos . TABLE 3-9 QUANTITY OF STEEL BARS AND TIE WIRES ON A TWO WAY REINFORCED CONCRETE SLAB Bar Spacing cm. 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 Number of Steel Bars per Square Meter 5.0 m. 6.0 m. 7.5 m. 9.0 m. 12.0 m. Length of Tie Wire / sq. m. 25 cm- 30 cm. 4.953 3.995 3.549 3.252 3.039 2.880 2.756 2.656 2.575 3.050 2.703 2.471 2.306 2.182 2.085 3.047 2.734 2.000 .364 .437 1.775 .279 .335 . 286 .208 . 250 . 185 . 222 .168 . 202 . 156 . 187 .146 . 175 1.892 1.626 1.520 1.440 1.378 1.328 1.288 1.254 .238 2.507 2.524 2.377 2.266 2.179 2.109 2.053 2.005 .138 . 165 4.409 4.047 3.788 3.594 3.443 3.322 3.223 3.141 2.008 1.945 3-14 CONCRETE PIPE REINFORCEMENT From Figure 3-21, determine the quantity of steel bar reinforcement using 10 mm diameter and number 16 Tie Wire . 129 Concrete Pipe ReJnf. Ring 1.00 m. Temp . Bars FIGURE 3-23 SOLUTION 1. Solve for the circumference of the circle at midpoint of the concrete thickness T. C = ¥d C = 3.1416 x (.90 + .10 ) = 3.1416 x 1.00 m. = 3.1416 m. 2. Total length of one ring plus 15 cm. splice 3.1416 + .15 = 3.29 m. 3. Find the total number of ring at .20 cm. o.c. spacing. 1.00 m. ht. .20 cm. 130 = 5 + 1 to get the total number of ring. = 6 pcs. 4 . Temp, bars at .25 m. o.c 3.1416 = 12.56 say 13 pcs. at 100 long . 25 Tie Wire 1. The total number of ring multiplied by the number of temperature bars. 6 x 13 = 78 pcs. at . 30 m. long per tie wire 2. Total length: 78 x .30 = 23.40 m. 3. Divide by 53.00 meters to find the weight in kg. 23.40 m. 53.00 m. = .44 say .50 kg. No . 16 Tie wire 131 CHAPTER 4 LUMBER 4- 1 WOOD Wood is that fibrous substance which composes the trunk and branches of the tree that lies between the pith and the bark. The versatility of using wood in the construction has lifted it to its present importance and high demand in almost all types of construction. Even with the introduction and acceptance of new materials and methods of construction , wood is evidently much in use. Wood because of its strength , light in weight , durability and ease of fastening has become one of the most important building material. 4-2 DEFINITION OF TERMS Lumber is the term applied to wood after it is sawed or sliced into boards, planks, timber , etc. Rough Lumber is the term applied to unplaned or undressed lumber. 132 Surface or Dressed lumber is a planed lumber having at least one smooth side. S 2S and S 4S are dressed lumber wherein the number connotes the number of smooth sides such as s2s means smooth on two sides and s4s on four sides. Slab is a kind of rough lumber whichis cuttangent to the annual rings running the full length of the log and containing at least one flat surface. Timber is a piece of lumber five inches or 13 cm. or larger in its smallest dimension. Plank is a wide piece of lumber from 4 to 13 cm. thick. Board is a piece of lumber less than 4 cm. thick with at least 10 cm. wide. Flitch is a thick piece of lumber. Fine Grained , when the annua) rings are small, the grain or marking which separates the adjacent rings is said to be fine grained. When large, it is called Coarse Grained. Straight Grained when the direction of the fibers are nearly parallel with the side and edges of the board, it is said to be straight grained. Crooked or Cross - Grained is a lumbertaken from a crooked tree . 133 4-3 CLASSIFICATION OF WOOD Wood that are used in building construction are those which grows larger by addition of a layer on the outer surface each year known to botanists as Exogens. Wood are classified according to: . 1 Mode of growth a) Exogenous are those outward growing trees which are most preferred for lumbering . b) indigenous are those inside growing trees which are not preferred for lumbering because they produce a soft center core 2. Density a) Soft - Density is either: b) Hard - 3. Leaves The leaves of the tree is either: a) Needle shape b) Broad shape 4« Shade or color a) White b) Yellow c) Red d) Brown e) Black , etc. 134 5. Grain a) Straight b) Cross c) Fine d) Coarse 6. Nature of the surface when sawed a) Plain b) Grained c) Figured or marked Sapwood Modular Rays Pitch Heartwood Outer Bark - Ca mbium Inner Bark Cross Section of a Tree Straight Grain Crooked Gram FIGURE 4-1 135 4-4 METHODS OF LOG SAWING Lumbering is the term applied to the operations performed in preparing the wood for commercial purposes. Logging is the process or operation from cutting of trees, hauling and delivering of wood to the sawmill for sawing. Sawing on the other hand , is the operation of cutting the logs into commercial sizes of lumber. Combined Radial and Tangential - — Radial bj ® Quarter Tangential 1 o *— Tangential P|ain or Bastarrd Sawing Star Shake Wind or Cupr Shake Ii Broken Branch r j .v: ^— r r - Heajt Shake ' ( - FIGURE 4 2 136 The methods and manner of log sawing are: 1. Plain or Bastard Sawing 2. Quarter or Rift Sawing a) Radial b) Tangential c) Quarter Tangential d) Combined Radial and Tangential 4-5 DEFECTS IN WOOD Defects are irregularities found in wood. The most common defects in wood are: 1. Caused by Abnormal Growth such as: a) Heart Shakes are radical cracks originating at the heart of the logs commonly found in old trees. b) Wind Shakes or Cup Shakes are cracks or breaks across the annual rings of the wood during its growth caused by excessive bending of the tree due to strong wind. c) Star Shakes are composed of several heart shakes which radiate from the center of the log in star like manner. d) Knots occurs at the starting point af a limb or branch of the wood. 137 2. Due to Deterioration a) Dry Rot is caused by fungi in a seasoned lumber due to the presence of moisture. b) Wet rot takes place sometime in the growth of the tree caused by water saturation. 4-6 SEASONING OF LUMBER By nature, trees contain moisture in their cell layers. These moisture has to be expelled thoroughly in order to preserve the wood from shrinkage or decay. Experiments have proven that wood which are immersed in water immediately after cutting into flitches is less subject to splitting and decay . It reduces warping but becomes brittle and less elastic. Soaking of wood in liquid is the oldest method of seasoning lumber introduced and practiced by the ancient Roman builders. The various methods of seasoning lumber are: 1. Natural or Air Seasoning is considered as one of the best method of seasoning lumber although the period involved is relatively longer. 2. Artificial Seasoning is a process wherein the lumber is stacked in a drying kiln and then exposed to steam and hot air. Wood from this process undergoes quick drying and is classified as quite inferior in quality as compared to those lumber seasoned by the natural or air seasoning method. 138 The artificial methods of seasoning wood are: a) Forced Air Drying b) Kiln Drying c) Radio Frequency Dialetric Drying Good seasoning is the primary consideration for a successful preservation of wood. Wood does not decay naturally through age, nor will it decay if \i is kept constantly dry or continuously submerged in water. The common causes of decay in wood are: 1.) Alternate moisture and dryness 2.) Fungi and Molds 3.) Insects and Worms 4.) Heat and Confined Air The process of preserving wood are: 1. External - The wood is coated with preservative ( as paint) which penetrates the fiber. 2. Internal - A chemical compound is impregnated at a prescribed pressure to permeate th ^ wood thoroughly. 4-7 THE UNIT MEASURE OF LUMBER Board foot is the unit of measure used in computing volume of lumber. Despite the adoption of the Metric System (SI ) measure 139 board foot for lumber is still in use for convenience and practical use of lumber sizes . One board foot simply mean, one square foot by one inch thick lumber or an equivalent of 144 cu. inches. The width and thickness of commercial lumber are expressed in inches except the length which are in feet of even numbers. Board foot is found by dividing the product of the thickness, the width and the length by 12. ILLUSTRATION 4- 1 Find the total board foot of : 5 pieces 2" x 6" x 14 ft . lumber . SOLUTION 5 x 2 x 6 x 14 = 70 bd. ft. 12 The number of board foot in a log could be determined using the following formula: Bd. Ft. Volume = ( D - 4 )2 L 16 Where: D * is the smaller diameter of log L = the length of the log 4 = slab reduction allowance 140 ILLUSTRATION 4-2 Determine the total board foot of lumber which could be derived from a log 28 inches diameter by 20 feet long. 6.00 m ( 20' ) FIGURE 4-3 SOLUTION ( 28 - 4 )2 x 20 = 720 bd. ft. 16 Prior to the introduction of sawmills , the manner of sawing lumber is by manual hand sawing. Two persons are involved . One at each end of the hand saw pulling alternately at their own direction until the log or lumber is sliced into the desired sizes. Labor cost is computed under the following manner: 1. By the board foot or 2. By the puigada system 141 The Board Foot method is simpfy finding the total board feet of sawed lumber multiplied by the agreed unit price. The Pufgada System is computed by multiplying the width in inches by the length of lumber in meter, the result is then multiplied by the unit price. - ILLUSTRATION 4 3 How much will it cost to slice a 6" x 6" x 3.00 m. lumber into a 2" x 6" x 3.00 m. lumber if the unit price is 50 centavos per pulgada? Lin© of Cutting ig r - 3,00 m FIGURE 4-4 SOLUTION 1. Multiply the width by the length 6 x 3.00 = 18 pulgadas (inches) 142 i 2. Multiply by the number of run or slice 18 x 2 = 36 pulgadas 3. Finding the cost, multiply: 36 x P 0.50 = P 18.00 ILLUSTRATION 4-4 How much will it cost to convert a 42" x 14" x 20 ft. fumber toasize of 2" x 6" x 20 ft. at a price of P 0.50 per pulgada? r— Line of Cutting FIGURE 4-5 SOLUTION 1. The first run of the saw along 14 inches Convert: 14x 20 ft. 600m. = 6.00 meters = 84 pulgada 143 2. The succeeding run along the 12” is 12 x 6.00 m. = 72 pulgada per run 3. Total run : 72 x 6 * 432 pulgadas 4. Total cost : 432 + 84 = 516 x P 0.50 = P 258.D0 This pulgada system of slicing log or flitches into small pieces of lumber is already obsolete with the introduction of sawmills, circular saw and the modem chain saw. The introduction of this modern chain saw have tremendously destroyed the forest rapidly. However, with the enforcement of the log ban law, this modern chain saw is now on its final momentum of wiping out the coconut tree as substitute to wood lumber. 4-8 WOOD POST In estimating wooden post for building structure, there are only three things to consider: a) The size of the post b) The quantity or number of posts c) The length or height The size of the post is already indicated in the plan. The quantity or number of the post is determined through direct counting based from the detailed plan of the building. The length is determined under the following considerations: a) For a one storey building verify if the elevation height 144 indicates from floor to ceiling, if the ceiling is below the girts, then, add the depth of the girts, and the bottom chord or the rafters to the height of the post. b) For a two storey building verify if the height indicates from floorto floor, if so, then consider the additional length for the girders , floor joist and the flooring. For the second floor, add the depth of the girts, bottom chord or rafters to the height of the post. c) Remember that the commercial length of lumber is always of even number , if the computed length is odd number adjust the order to the next even number or length. ILLUSTRATION 4- 5 From Figure 4-6, determine the length of the wooden post required. Girts 2.70 m . 3/4“ Wood Flooring ^ 2" x 6" Joists .20 cm * Girder 2.70 m . i - FIGURE 4 6 145 SOLUTION 1. Find the total height from floor to ceiling 2.70 + 2.70 = 5.40 meters 2. Determine the depth of girder, floor joist, flooring and girts. .20 Girder Floor Joist * .15 Flooring = . 025 Girts = .20 .575 m. 3. Add the result of 1 and 2 5.40 + .575 = 5.975 m. 4. Convert to feet 5.975 m. = 19.9 ft. .30 5. Order length = 20 feet - 4 9 GIRDER The Girder is the structural member of a building that carries the floor joist and the flooring . It is determined by Direct Counting Method from the floor framing of the building plan . The length however , is determined under the following considerations. 146 1. If the span or distance of the post is indicated from center to center , the length of the girder is equal to the span plus the width or one side of the post. Floor Joist ± T & G Flooring 1 II 1 IT If \i FT f 11 Girder :0 i Post L - Span + 2 ( 1/2 Side of Post ) ffl FIGURE 4-7 2. If the span of the post indicates from outer to outer side of the post, the girder length is equal to the span of the post. a Floor Joist T & G. Flooring —* \ II Hi Girder 4F ~ ll o -— Post L = Span of Post FIGURE 4-8 3. If the span or distance indicates from center to outer side of the posts, the length of the girder is equal to the span plus one half the width of one post. 147 Floor Joist — T & G Flooring -« H o o Girder p o Post T L = Span + 1/2 Side of Post FIGURE 4-9 4 . If the span or distance of the post indicates inside measurement , the length of the girder is equal to the span plus two width or sides of the post. Floor Joist T & G. Flooring n i o Girder « « o Post o Post - II i Girder Overhang I L * Span + 2 Sides of Post FIGURE 4-10 5. If the second storey has a floor overhang wherein the girder has to carry the floor joist, the length of the girder is equal to the span as stated above plus the overhang length . 148 ILLUSTRATION 4-6 From Figure 4-11 what girder length shall be ordered? a n Floor Joist T & G Flooring —, © o Girder o n n r Post 3.00 m .60 m. ^ Overhang L = Span + Overhang + 2 ( 1 /2 Side of Poet ) - FIGURE 4 11 SOLUTION 1. Determine the span and the overhang. 3.00 + .60 *= 3.60 m. 2. Add two widths of the post. 3.60 + 2 (. 15) = 3.90 m. 3. Convert to feet 3.90 = 13 ft. .30 This is an odd number, adjust to the next even number. 4. Order : 14 ft. long 149 4-10 FLOOR JOIST AND T & G FLOORING Floor Joist is the structural member of a building that carries the wood flooring. The best way of estimating floor joist is by direct counting from the detailed floor framing plan ofthe building wherein the actual number and length ofthe joist is indicated. Girder Ir I — Solid Bridging Floor Joist Girder : FIGURE 4-12 Groove % Tongue T & G Flooring - FIGURE 4 13 150 TheT & G is the popular name for Tongue and Groove wooden board used for flooring, ceiling, forms etc. The thickness of the board varies from 18 mm to 25 mm., while its width also varies from 5 to 15 centimeters. Other sizes for Architectural purposes are obtained through special order. There are two methods presented on how to determine the required number of pieces and board feet of T & G for a given area. 1. Direct counting method 2. The number of pieces per meter run ILLUSTRATION 4-7 From the floor framing plan as shown in Figure 4-14, determine the number and board foot of floor joist and the T& G flooring. SOLUTION A. Floor Joist 1. By Direct Counting 5.00 = 16.66 .30 2. Add one to get the actual number of joist 16.66 + 1 - 17.66 say 18 pcs. 151 3. For two spans 18 x 2 = 36 pcs. 4. Determine the span of the joist ( in feet ) 3.50 m. = 11.66 say 12 ft. Order: 36 - 2" x 6” x 12' = 432 bd. ft 12 T 2" x 6" Floor Joists ksL £ 8 l . Girder Solid Bridging Jim, 5.00 m. 5.00 m. FIGURE 4-14 B. Solid Bridging 1. Span of girder 5.00 * 16.66 ft. .30 152 2. Total number of joist 18 x 2 inches thickness * 36 inches or 3 feet 3. Subtract from step 1 16.66 - 3 ft. « 13.66 or 14 ft. 4. For solid bridging, order: 2 pcs. 2" x 6" x 14 ft. = 28 bd. ft. C. T & G Flooring 1st Solution: ( By Direct Counting ) 1. The length of the girder is the length of the T & G flooring 5 , 00 * 16.66 say 18 ft. .30 2. Determine the number of 4" T & G board 3.50 x 2 span = 70 pcs . 10 3. Referring to Table 4-1 Multiply: 70 x 1.222 = 85.54 say 86 pcs. 153 4. Order: ,, 86 - 1" x 4 x 18 12 t = 516 bd. ft. TAG. TABLE 4-1 QUANTITY OF T & C WOOD BOARD PER METER RUN Size of Board Cm In. 3/4 x 3" 3/4" x 4" 3/4" x S' H 3/4" X 6" Add % forAllowance Direct Count Method Number of Board Per Meter Run .0125 16.66 .0123 12.20 .0117 9.34 .0115 7 70 2.0 x 7.5 2.0 x 10.0 2.0 x 12.5 2.0 x 15 0 2nd Solution: (By the number of board per meter run) 1. Determine the length of T & G flooring 5.00 - 16.66 say 18 ft. 30 ” 2. Referring to Table 4-1 using 4” ( 10 cm.) TAG Multiply: 7.00 x 12.20 * 85.4 say 86 pcs. 86 - 1" x 4” x 18* « 516 bd. ft . 12 154 4- 11 SIDING WOOD BOARD The common type of commercial siding wood boards are: 1. Stone cut 2. Double Stone cut 3. V- cut 4. BCB cut 5 . Weather cut Double Cut BCB Single Cut V-Cut Weather Cut FIGURE 4-15 The thickness of these boards varies from 13 , 16 or 20 mm. The width is from 15 to 20 cm. of even length from 6 to 20 feet. The procedure in estimating the quantity of siding wood board is the same as that of T & G wood flooring with the aid of Table 4-2. However, unlike the T & G wood flooring , estimating the siding board has to consider the following : 1 . The area of the opening such as windows, doors and the like should be deducted from the area of the wall to be covered by the siding boards. 2. The length of the siding wood boa u should be specified in ( 155 the order to prevent joints of the board in between the height. 3. The common error in determining the length or height of the board is the omission of the additional length for the girts, flooring .floor joist and girder depth. TABLE 4-2 QUANTITY OF SIDING WOOD BOARD Per Meter Run Approximate Board Ft. Per Sq. M. 15 7.41 13.65 20 5.55 13.55 Commercial Size Width of Board Cm. Inches 6" 8" Number of Board 5.00 m 2.10 20 cm J 3.10 m U- iii I t 50 cm . I J i FFHff iii : ; Double Cut 1 FIGURE 4-16 156 ILLUSTRATION 4-8 From Figure 4-16 solve for the required board foot and number of 200 mm. ( 8" ) double cui siding board. SOLUTION 1 . Determine the total length of the board 3.10 m. Floor to ceiling Depth of Girts . 20 m. Flooring & Joist .17 m. .25 m. Depth of Girder Studs .075 m. 3.795 m. * 12.65 ft. 14 ft. Order Length of the wall Less the opening Net Wall Length 5.00 m. 2.10 m. 2.90 m. 3. Referring to Table 4-2 for a 200 mm . board Multiply : 2.90 x 5.55 = 16 pcs . 4 . Order: 16 pcs. 3/4" x 8" x 14" double cut * 149 bd. ft. 2nd Solution: ( By the Board Feet per Square Meter) 1 . Solve for the wall area 157 A * 3.795 x 2.90 A = 11 sq. m. 2. Referring to Table 4-2 Multiply: 11 x 13.55 = 149 bd. ft. 4-12 GIRTS, RAFTERS, TRUSS, PURLINS, AND FASCIA BOARD These items in building construction are determined by direct counting and measuring method . Members with shorter length like collar plate , struts , blocks for splice of joints, sway bridging etc. are computed according to their sizes combined together and adjusted to the commercial length of lumber. For accuracy of estimating these items, a detailed drawing indicating their sizes and length shall be made as basis in finding the unit length of every parts Vertreal Strut 2 | 1 Girts Bottom Chord King Post FIGURE 4-17 158 Coll«r Plate Top Chord Diagonal Strut 4-13 STUDS Stud is the structural member in building construction where the siding or partition boards are fastened. It is sometimes referred to as ribs of wooden walls or partitions. Lumber intended for studs shall be straight and uniform in width of either S2S or S4S for uniformity of wall thickness. The advantages of using S2S or S4S lumber are: 1. Lumber are straight, uniform in thickness and of good quality. 2. It is economical in terms of labor cost. 3. The work progress is not affected or delayed. There are two methods presented in this Chapter on how to find the quantity of studs at a given vertical and horizontal spacing. 1. The Direct Counting Method 2. The Square Meter Method The Direct Counting Method is done by counting the number of vertical and horizontal member from a detailed plan including its length. In the absence of a detailed drawing plan, an imaginary counting through mathematical computation will do as an alternative. The Square Meter or Area Method is by simply finding the area of the wail multiplied by the values given in Table 4-3 corresponding to the size and spacing of the studs. 159 ILLUSTRATION 4-9 A wall partition 6.00 meters long by 2.60 meters high specify a 2" x 4" studs spaced at .60 m. o.c. both ways. Find the total board feet required. SOLUTION- 1 ( By Direct Counting ) 1. Find the number of vertical studs 6.00 « 10 + 1 « 11 pcs. at 10 ft. .60 2. Horizontal Studs 2.50 * 4.2 say 5 pcs. at 20 ft. .60 3. Order: Vertical Studs 11 pcs. 2" x 4" x 10’ * 73.3 bd. ft. Horizontal Studs 5 pcs. T x 4" x 20’ « 66.6 bd. ft. Total 139.9 bd. ft. Solution-2 (By the area Method) 1. Solve for the area of the wall partitions 6.00 x 2.50 = 15 sq. m. 2. Referring to Table 4-3, using 2 x 4 at .60 m. spacing Multiply: 15 x 9.333 * 140 bd ft. 160 TABLE 4-3 NUMBER OF BOARD FOOT OF STUDS AND NAILING JOIST PER SQUARE METER Spacing in Centimeters (Center to Center) Lumber Size In. 1x 2 2x2 2x 3 2x4 2x5 2x6 30 x 30 30 x 60 40 x 40 4.230 8.460 3.208 12.688 3.256 6.513 9.769 16.920 21.146 25.375 13.026 16.282 19.539 6.417 9.625 12.833 16.042 19.250 - 40 x 60 ! 60 x60 2.771 5.445 | i 8.312 ; 11.083 13.854 16.625 | 2.333 4.667 7.000 9.333 | 11.667 I 14.000 ! Comment: Comparatively , computation by the Area Method with the aid of Table 4-3 instantly gives a result in board foot. Unlike the first solution wherein the number of pieces and length were known outright ahead of the board foot. However, as to which method will be adopted, depends upon the choice and purpose of the estimator There are instances where small discrepancies arises between the results of the two methods. This is due to the adjustment of lumber from odd to even length. Naturally, if length is adjusted to the next even length the number of board foot will also increase while the area covered remains the same. Under this circumstances small discrepancies between the result of the direct counting method and the area method cannot be avoided but to a very eligible amount . . 161 ILLUSTRATION 4- 10 A partition wall measures 8.00 m. long by 2.70 meters high specify the use of 2" x 3" studs with a general spacing at 40 cm. for vertical and 60 cm. for horizontal center to center distance. Prepare the order list of 2" x 3" lumber for wall studs. Vertical Strip Q .40 m. o.c. 2.70 m, 8.00 m. Hor. Strip Q .60 m. o.c. FIGURE 4-18 1st SOLUTION (By Direct Counting) 1. Find the number of vertical studs 8.00 c 20 spacing .40 Add one spacing to get the actual number of studs ( see Fig 4-18) 20 + 1 = 21 studs Order : 21 pcs. 2" x 3" x 10‘ = 105 bd. ft. 2. Find the number of horizontal studs 162 2.70 = 4.5 Add 1 to get actual number of studs .60 4.5 + 1 ~ 5.5 pcs. at 4.00 m. long Since the wall is 8.00 m. long (see Figure 4-18) multiply: 5.5 x 2 = 11 pcs. Order: 11 pcs. 2" x 3” x 14’ = 77 bd. ft. Summary 21 pcs. 2" x 3" x 10’ * 105 bd. ft. 11 pcs. T x 3" x 14’ = 77 bd. ft. « Total • 182 bd. ft. 2nd SOLUTION ( By the Area Method) 1. Solve for the area of the wail partition . . 8 x 2.70 = 21.6 sq m 2. Referring to Table 4-3, using 2 x 3 studs at .40 x .60 m. on center spacing Multiply: 21.6 x 8.312 = 179.54 say 180 bd. ft. 3. Note the difference of 2 bd. ft. between the two solutions which is negligible. 163 4- 14 CEILING JOIST Ceiling Joist is the structural member in building construction that holds the ceiling board. It is otherwise known as the nailing strip. The common size used for ceiling joist are V x 2"; 2" x 2" and 2” x 3" lumber spaced to suit the size of the ceiling board. In short, the ceiling board dimension governs the spacing of the ceiling joist for economy. The methods adopted in computing the quantity of ceiling joist is the same as that of the studs with the aid of Table 4-3. 2" x 2 @ ,40 m oc. N Bothways 4.00 m. 7.00 m. * FIGURE 4-19 ILLUSTRATION 4- 11 Find the total board foot required for a 7.00 by 4.00 meters bedroom using 2” x 2" ceiling joist spaced at .40 x .40 m. on center. 164 SOLUTION ( By Direct Counting ) 1 . Find the number of joist perpendicular to 7.00 meters. 7.00 = 17.5 + 1 = 18.5 .40 = say 19 pcs. at 4.00 m. (14‘) 2. Find the number of joist perpendicular to 4.00 m . span 4.00 = 10 + 1 * 11 pcs. at 7.00 m. or 23 feet . 40 A combination of: 11 pcs. 2" x T x 14’ and 11 pcs. 2" x 2" x 10 ’ or 22 pcs. 2” x T x 12' 3. Order: 19 pcs. 2" x T x 14’ = 88.66 bd. ft. 22 pcs. 2" x T x 12’ = 88.00 bd. ft. * 176.66 bd . ft. say 177.0 bd ft SOLUTION ( by the Area Method) 1. Area of the ceiling 7.00 x 4.00 = 28 sq . m. 2. Referring to Table 4-3, multiply: 165 28 x 6.417 = 179.7 say 180 bd. ft. 3. Note that the 3 bd.ft. difference is negligible. 4-15 CEILING BOARD There are numerous kinds of ceiling board of different brand , quality and dimensions available for building construction . However, the simplest way in finding the number of boards required is to divide the total ceiling area by the effective covering of one ceiling board or by the square meter area method with the aid of Table 4 4. - - ILLUSTRATION 4 12 A bedroom with a general dimensions of 4.00 m. x 5.00 meters specifies the use of 1/4 x 4’ x 8’ plywood for ceiling on 2" x 2" ceiling joist spaced at 40 x 60 centimeters o.c. Determine the number of plywood and ceiling joists required . Plywood Ceiling — 80 cm 2.40 m. 80 cm. 1.20 1.20 1 1.20 1.20 ’ 10 10 FIGURE 4*20 166 SOLUTION ( By the effective covering method ) A. Ceiling Joist 1. Find the area of the ceiling 4.00 m. x 5.00 m. = 20 $q. m. 2. Refer to Table 4-3. Along 2" x 2" at 40 x 60 spacing Multiply: 20 x 5.445 = 106.90 say 109 bd. ft. B. Ceiling Board 1. Find the area of the ceiling. 4.00 m. x 5.00 m. - 20 sq, m. 2. Refer to Table A~A . Along 120 x 240 ( 1/4 x 4’ x 8’ ) Plywood board, effective covering is 2.88. Divide: 20 2 8g = 6.9 say 7 pcs. plywood board TABLE 4-4 QUANTITY OF CEILING BOARD PER SQUARE METER Size Centimeters 30 x 30 40 X 40 40 x 60 60 x 60 60 x 120 90 X 180 120 x 240 Effective Covering per board in sq , m. 0.90 0.16 0.24 0.36 0.72 1.62 2.88 167 Number of Pieces per square meter 11.111 6.250 4.167 2.778 1.389 0.617 0.347 ILLUSTRATION 4- 13 An office room with a general dimensions of 6.00 m. x 9.60 meters specify the use of a .60 x 1.20 m. ceiling board. Find the number of pieces required. 9.60 m. E 2' x 4 Plywood Ceiling 8 6 ( FIGURE 4-21 1 st SOLUTION (By the Effective Covering Area Method ) a . Find the area of the ceiling 6.00 x 9.60 m. = 57.6 sq. m. b. Referring to Table 4-4 using a .60 x 1.20 board 57.6 = 80 pcs. . 72 2nd SOLUTION ( By the Number of Pieces per Square Meter ) 168 1. Find the area of the celling 6.00 x 9.60 * 57.6 sq. m. 2. Referring to Table 4-4 using a .60 x 1.20 board Multiply : 57.6 x 1.389 = 80 pcs. 3rd SOLUTION ( By the Direct Counting Method ) 1. Find the number of boards along the 6.00 m. 6.00 = 10 pcs. .60 2. Find the number of board along the 9.60 m. 9.60 = 8 pcs. 1.20 3 . Multiply results of 1 and 2 10 x 8 * 80 pcs. Comment: The results of the three methods as presented are correct and satisfactory if the ceiling area falls under the following conditions: 1. That the quotient in dividing the area of the ceiling by the 169 effective area covering of one board yields an exact number or value ( no fraction ). 2. Thai the ceiling design is plain and not interrupted by beams, girders , rafters , partitions , openings etc. 3. That the ceiling has no intricate design or decorations that requires more cutting of the ceiling board. 4. When cutting of the ceiling boards could not be avoided, wastage is also inevitable but could be replenished by an allowance factor of about 2 to 5 % depending upon the design. ILLUSTRATION 4- 14 A living room measures 6.80 m. x 8.00 m. specify the use of a .90 x 1.80 m. ceiling board. Find the number of pieces required. 25 cm 6.30 m. 90 1.80 petting Board * 40’ +1.80+1.80+1.80+ 1.80 “ FIGURE 422 170 25 cm ** - SOLUTION 1: ( By the Effective Covering Area Method ) 1. Find the area of the ceiling 6.80 x 8.00 = 54.40 sq. m. 2. Referring to Table 4-4 using a . 90 x 1.80 ceiling board 54.40 = 33.58 say 34 pcs. 1.62 - SOLUTION 2: (By The Number of Pieces per sq. m .) 1. Find the area of the ceiling 6.80 x 8.00 = 54.40 sq. m 2. Referring to Table 4-4 Multiply : 54.40 x .617 = 33 .56 say 34 pcs. SOLUTION 3: ( By the Direct Counting Method . ) * 1. Find the number of boards along the 6.80 m. side 6.80 = 3.78 1.80 2. Find the number of boards along the 8.00 m. side 8.00 = 8.89 .90 171 3. Multiply 1 and 2 3.78 x 8.89 = 33.60 say 34 pcs. 4-16 DOOR FRAME Estimating the materials for fabrication of door frame is simply determining the size and length of the lumber to suit the size of door panel whose width varies from .60 m. to 1.00 meter wide Door frame bigger than one meter opening is considered as special design and order In ordering lumber for door frame, the estimator has two options: 1. Ordering one length of 18 ft for each door jamb or a 2. Combination of headers or jamb and header to suit the commercial length of lumber for economic reasons 3 ft. Header 7 ft . 3" x 6" - FIGURE 4 23 172 - ILLUSTRATION 4 15 A 20 classroom school building with 2 doors per room specify the use of 3" x 6" door jamb. Prepare an order list of lumber for fabrication of the door jamb. SOLUTION A. Ordering one length for each jamb f . Determine the total length of the jamb. Jamb = ( 7’ + 3" ) x 2 pcs. or 14.5 ft. = 14 ' - 6". 2. Length of Header . . . . . 3.5 ft . ( 3 ft . + 6 In.) 18.0 ft. Total length of 1 & 2 3. Order: 40 - 3" X 6HX 18’ = 1 ,080 bd. ft. B . Combination of Headers and Jambs 1 . One header is 3’ - 6” or 3.5 ft. 2 Four Headers * 3.5 ft. x 4 = 14 ft. 3 For 40 Headers Order: 10 pcs. 3" x 6" x 14 ' 173 4. Jambs = ( 7" + 3 ) x 2 sides = 14’ - 6" or 14.5 ft. M 5. Lumber length is even number, for 40 jambs Order : 40 pcs. 3" x 6” x 16’ 6. Summary: Header: 10 pcs. 3‘* x 6” x 14’ =* 210 bd. ft. Jamb : 40 pcs. 3 x 6" x 16’ = 960 bd. ft. 1,170 bd. ft. M Comment: Comparing the result of the two procedures, it will he noted that the second procedure is 90 board feet more than the result of the first Considering the present cost of lumber , one has to choose the order of 40 pcs. at 18 ft long. However, in ordering lumber length from 18 feet and above the following disadvantages might be encountered: 1. Due to the scarcity of lumber, length from 18 feet and above might not be available in the market and this might cause delay of the construction work. 2 The price of lumber varies and is considerably higher as length goes longer. Thus, the cost of the 90 board feet difference between the two procedures might be more than the difference in cost if longer length is ordered. In adjusting the ordered length from 14' • 6" to 16 feet ( step 4 ) there is an excess length of 40 pcs. one and one half feet or 174 45 cm. which could be used on other parts of the construction or they could be sliced for studs or ceiling joist which then could not be totally considered as waste. 4-17 WINDOW FRAME The different parts of a window frame to be considered in estimating are: 1 . Jamb 2. Header 3. Transom 3. Transom 4 . Window sill 5 . Mullion Estimating Procedure : 1. To find the length of the jamb, add the thickness of the sill, the mullion and the header. 2. The length of the sill and header shall include the thickness of the two jambs and the mullion. 3. The transom is equal to the length of the sill or header less the thickness of the two jambs. 4. The length of the -million is equal to the length of the jambs less the thickness of the head and sill. ILLUSTRATION 4- 16 From Figure 4-24 prepare the list of the lumber materials to be ordered. 175 Header r Tranec .n 3" x 4" - Jamb 5 ft — Mullion - 3 x 6" H s-izr Sill 7 ft . 3" FIGURE 4-24 SOLUTION 1 . Jamb: ( 5 ' + 6" ) x 2 - 1 1 feet Order: 1 pc. 3" x 6" x 12 ft = 18 bd ft . . 2. Header & Sill: (7' + 6" ) x 2 = 15 ft. Order: 3 Mullions: Order 4 Transom: Order 2 pcs. 3" x 6" x 8 ft. or 1 pc. 3" x 6” x 16 ft. < 5’ - 0" ) x 2 = 10 ’ : 1 pc. 3“ x r x 10 ft ( 7’ - 0 " ) : 1 pc. 3’* x 6" x 8 ft. 176 CHAPTER 5 FORMS,SCAFFOLDING AND STAGING 5- 1 FORMS Form is a temporary boarding, sheathing or pan used to produce the desired shape and size of concrete. The structural members of a building are built-up into its desired shape and dimension through the use of forms which serve as mold for the mixed concrete. Concrete mixture is generally semi-fluid that reproduces the shape of anything into which it is poured. Concrete forms should be watertight, strong enough and rigid to sustain the weight of the concrete. It should be simple and economically designed in such a manner that they are easily removed and re- assembled without damage to themselves or to the concrete. Selection of forms are based on: 1. Cost of the materials. 2. The construction and assembling cost. 177 3. The number of times it could be used 4 . Strength and resistance to pressure and tear and wear. Classification of Forms: A . Materials 1 . Wood 2. Metal 3. Plastic 4 . Composite B. Shape 1. Straight 2 . Circular , etc . C. Solid or Hollow Cast 1 . Single 2. Double D. Methods of Construction 1 . Ordinary 2. Unit E. Uses 1. Foundation and column 2. Wall 3. Steps 4 . Beams and girders 5 . Slabs 6 Sidewalks, etc. F. Construction of Forms consist of 1 . Retaining board 2. Supporters or studs 178 3. Braces 4 Spacer 5 Tie Wire 6 Bolts and nails G. Tjpcvof WJIII Fnrm 1 Continuous 2. Full unit 3. Layer unit a Continuous b Sectional 5- 2 GREASING OF FORMS The purpose of greasing the form is to make the wood water proof, thus, preventing the absorption of water in the concrete which causes swelling and warping Greasing of forms also prevent adherence of concrete to the pores of the wood. Crude oil is the most economical and satis factoiy material for this purpose. The etude oil »s mixed with No. 40 motor oil to a proportion of 1:3 mixture with varying viscosity according to the temperature. Thicker mixture :s necessary on warm weather. However. greasing of forms should not be ajtcwed after the steel bars have been, set torts position _ , , 5-3 SCAFFOLDING AND STAGING Scaffoiding is a temporary structure of wooden poles and planks providing platform fc. working men to stend on while ' erecting or repairing a building. It is further defined as a temporary framework for other purposes. Staging on the otherhand , is a more substantial framework progressively built up as tail building rises up. The term staging is applied because it is built up in stages one storey at a time. Numerous accidents in building construction usually happened because of faulty construction method and insufficient supports and braces. One tragic incident happened in the construction of the Film Palace in Metro Manila where several lives including the Supervising Engineer were buried alive in cement and rubbles when the forms and staging swayed and rammed down in total coHapse. Staging is not as simple as others think of it . It requires special skill, and experienced men to do the work. Incidentally , the primary cause of accidents and failure of the framework is the use of inferior quality lumber, inadequate supports and braces , nails and others for economy sake or negligence . Definitely , out lumber has no place in horizontal scaffolding or staging work if the builder is aware of the value of life and property involved in building construction. Lumber intended for temporary structure to support heavy load such as concrete should be selected from straight grain of wood free from shakes or knots and other defects. The use of coconut lumber is gaining wide acceptance due to the scarcity and the prohibitive price of wood lumber. However , extra care should be exercised in selecting coco-lumber. Those with or near the bark is considered harder and better quality. Closer spacing of supports and braces should always be in mind when using coco-lumber as scaffolding or staging. Do not rely too much on coco lumber fastened with nails , remember the principles of post and lintel structures . 180 The different parts of staging to be considered are: 1 . Vertical support 2 Footing base { as need arises ) 3 . Horizontal braces 4 . Blocks and wedges support 5 . Nails - jr ^ ^f= . T r~ K£ 71 5- 4 COMPARATIVE ANALYSIS BETWEEN THE T & G AND PLYWOOD AS FORMS Cost is the primary consideration in selecting the kind of materials to be used as forms. Cost is a broad term in construction which under this particular item refers to: 1 . Initial investment on materials. 181 2. Assembling cost . 3. The number of times it could be used. 4. Durability of the materials to resist pressure and tear and wear. ILLUSTRATION 5- 1 A residential house has 10 wooden posts resting on a concrete footing as shown in Figure 5-2. Prepare a comparative bill of materials using T & G and plywood forms. 2" x 2" Frame i T& G 60 cm 30 cm. 30 cm 30 cm . 40 cm 1.20 m. T 1.20 m. i Footing FIGURE 5- 2 182 SOLUTION a ) Using a l” x 6" T & G Board 1 . Solve for the lateral width of one footing. ( . 30 x 2 ) + ( . 40 x 2 ) 6 + .8 = 1.40 m. . 2. Referring to Table 4-1, multiply: 1.40 x 7.70 = 10.78 say 11 pcs. 3. For 10 posts prepare 5 forms only , thus: 11 x 5 = 55 pcs. 4 . Determine the height of the form 1.20 m. " 4 feet 5 . Order: 55 pcs. 1" x 6" x 4’ or 8 pcs. 1" x 6" x 8’ = 112 bd. ft. b ) Form Ribs and Frame @ .40 m. distance Form A .30 x 8 pcs. - 2.40 or 8 ft . 1.20 x 4 pcs. = 4.80 m. or 16 ft . For 5 forms , Order: 183 5 pcs. 2" x 2" x 8' 5 pcs. T x 2" x 16’ Form B .60 x 8 pcs. = 4.80 or 16 ft. For 5 forms Order: 5 pcs . 2" x 2" x 16’ c) Brace Holder and Stake 1. By direct counting from the figure we have: 4 pcs. 2” x T x 8’ 2" x 2" Frame Plywood - T 1.20 m . 30 cm. 30 cm FIGURE 5-3 184 40 cm Summary of T & G for Five footings 28 pcs. 1" x 6" x 8’ 9 pcs. 2” x 2" x 8’ 10 pcs. 2* x 2" x 16’ = 112 bd. ft. = 72 In. ft. = 160 In. ft . 2nd SOLUTION a) Using plywood forms . 1. The total lateral width of one forrr = 1.40 m. 2. Length or Height of the form = 1.20 m. 3. Area of one form 1.40 x 1.20 - 1.68 sq. m. 4. Total area of 5 forms 1.68 x 5 = 8.40 sq. m. 5. Referring to Table 4 -4, using 1.20 x 2.40 plywood by effective covering method; Divide ; 8.40 = 2.92 say 3 pcs. plywood 2.88 b) Forms or Ribs Form A 1. By direct counting 185 6 pcs. 2" x 2" x 1.20 m. ( 4 ft.) 4 pcs. 2" x 2" x .30 m. ( 11t.) 2. For 5 forms, we have: 30 pcs. 2" x 2” x 4 ft. 20 pcs. 2" x 2" x 1 ft. 3. Order: 15 pcs. 2" x 2" x 8 ft. 2 pcs. T x 2” x 10 ft. Form B 1. By direct counting 6 pcs. Y x 2* x 1.20 m. ( 4 ft.) 4 pcs 2" x 2“ x .40 m. . 2. For 5 forms , we get: 30 pcs. 2” x 2 x 4 ft. 20 pcs. 2" x Y x ,40 m. B 3. Order: 15 pcs. 2" x 2“ x 8 ft. 5 pcs. Y x 2“ x 1.60 or 6 ft. c) Brace Holder and Stake 1. By direct counting 4 pcs. 2* x 2" x 8 ft. 186 Summary for 5 Footings 3 pcs. 6 mm. x 1.20 x 2.40 plywood = 240 In. ft. 30 pcs. 2” x 2" x 8 ’ 2 pcs. T x 2” x 10’ = 20 In. ft. 5 pcs. 2" x 2" x 6' = 30 In . ft. 290 In. ft . From the above results, knowing the materials required for T & G and plywood form, canvass the prices and make your choice as to what materials will be used. Comment: The common material used for forms in all types of construction during the time of lumber abundancy is the T & G . Unfortunately, with the present condition of our forest where the price of wood is highly prohivitive , using a T & G . lumber as form is very costly unless extremely necessary. Presently, the materials being used as form is either plywood or metal sheet The use of plastic form is the next alternative after the wood considering its weight , durability and recycling properties TABLE 5.1 QUANTITY OF TAG WOOD FORM FOR PIERS AND COLUMNS Materials T & G Bd. Ft. per Sq. M. 2 x 2 Frame Bd . Ft . per Sq. M. Ln. Ft. per Sq. M. 1" x 4" r x 6” 18.33 17.50 7.32 7.32 21.96 21.96 187 Note: To convert board ft. to Linear Ft. - Multiply by 3 To convert Linear ft. to Board Ft. - Divide by 3 ILLUSTRATION 5-2 Prepare Bill of Materials for 8 columns at 4 meters high with uniform cross-sectional dimensions of 30 cm. x 40 cm. using 1" x 6" T & G form with 2" x 2" frame . —- — ^ - 2" x 2" Frame — 30 cm I 40 cm E T&G 8 T & G. Form I r 40 cm FIGURE 5-4 SOLUTION 1 . Find the lateral surface area of one column 188 ( .30 x 2 ) + (. 40 x 2 ) x 4.00 m. ht. (.60 + . 80 ) x 4.00 m. = 5.6 sq. m. 2. Referring toTable 5-1 using 1" x 6" T & G Board Multiply : 5.6 x 17.50 = 98 bd . ft . 3. For 8 columns Multiply: 98 x 8 = 784 bd. ft. 1 ” x 6" x 14’ 4 . Find the 2" x 2" frame for one form Referring to Table 5- 1 Multiply: 5.6 x 7.32 = 41 bd. ft. 5. For 8 columns Multiply: 41 x 8 = 328 bd. ft. Comment 1. Illustration 5- 1 is the direct counting meihod. One will notice the intricacies involved in itemizing the materials for the different parts of the form including the adjustment of the lumber to the commercial length for that simple wooden footings . What if the estimate calls for the entire forms necessary to construct a multi- storey reinforced concrete building? Table 5- 1 is prepared for this purpose and presented in illustration 5-2. 189 2. T h e 2 x 2 f r a m e a s found in illustration 5-2 does not include yet the vertical and horizontal support and the diagonal braces which will be discussed later in Section 5-8 under the scaffolding and staging. 5-5 FORMS USING PLYWOOD Plywood is a versatile construction material not only used for walls, partitions and cabinets but also for furnitures as well as forms for reinforced concrete constructions. The plywood thickness varies from 4 mm. 6mm. 12 mm. and 20 mm. with a commercial size of .90 x 1.80 m. and 1.20 m. x 2.40 meters. Plywood as form has the following advantages: 1. It is economical in terms of labor cost. 2 . Light weight and handy . 3 . Smooth surface which requires less plaster or no plastering at all. 4. Less consumption of nails. ILLUSTRATION 5- 3 Six concrete posts 4.00 m. high with a uniform cross sectional dimensions of 30 x 30 cm. specify the use of 12 mm plywood on a 2" x 2" frame . Prepare the bill of materials . 190 SOLUTION Data: Number of post Height Cross Sectional Dimension Frame = 6 = 4 meters * .30 x 30 cm. * 2" x 2" 1. Solve for the lateral surface area of one column. .30 x 4 sides = 1.20 m. 2. Multiply by the height. 1.20 x 4.00 m. = 4.8 sq. m. 3. Total area of 6 columns 4.8 X 6 * 28.8 sq. m. 4. Referring to Table 5-2 using 1.20 x 2.40 plywood Multiply: 28.8 x .488 * 14 pcs. 5. Solve for the frame, from Table 5-2 using 2 x 2 lumber: Multiply: 28.8 x 12.71 = 366 bd. ft. 6. The height of the post is the length of the frame Order: 366 bd. ft . T x 2" x 14 ft. 191 - TABLE 5 2 QUANTITY OF PLYWOOD FORM AND ITS FRAME FOR COLUMNS PER SQUARE METER LATERAL AREA Plywood Size in M . Number of Pieces x 1.80 1.20 x 2.40 . 842 . 90 * . Size of Frame or Ribs Bd Ft. per Sq . M 2x2 2x 3 12.71 12.71 488 18.96 18.96 The values given under the frame or rihs column are computed from a longitudinal rib type considering its economical advantages. Plywood Form 30 cm 2” x T Frame C? - 30 cm. '•••• 30 cm. 40 cm FIGURE 5-5 192 30 cm 5-6 FORMS OF CIRCULAR COLUMN The galvanized iron sheet otherwise known as G.l. sheet is the most common material used as form for circular , oval or elliptical structure considering its versatility in forming any shape of various forms and design. Where G.l. sheet is specified as form for a cylindrical column, wood board and built up supporters are necessary to form the circumferential arc frame . The standard dimension of the plain G .l sheet is 90 cm. wide by 2.40 meters long. Estimating procedure: t . Find the circumference of the circle where C = 3.1416 x diameter . 2. Multiply the circumference by the column height. 3. Divide the result found in step 2 by 2.16 , the effective covering area of one G.l. sheet. 4 . Where extra cuts could not be avoided, an allowance of 5 to 10 % for waste is satisfactory . 5 . Solve for the number of supporter or ribs. Divide the circumference by . 10 if the spacing is 4" or by .15 if the spacing is 6 inches. 6 . Provide 2 pieces circumferential supporter for every joint of the unit form which is equivalent to 90 cm. die width of one G.l . sheet. ILLUSTRATION 5-4 Determine the required plain G .l .sheet form for 6 circular columns 4.50 m. high with a uniform cross-sectional diameter of 193 .60 m. using 1" x 14" and T x 2" supporters. I" Wood Board Circumferential Supporter r /i 2" x 2" Vertical m Frame r i i • \ Line of Cutting / / \ FIGURE 5-4 SOLUTION 1. Solve for the circumference of one column - 3.1416 x .60 = 1.88 m. C 2. Multiply by the column height Area = 1.88 x 4.50 = 8.46 sq . m. 3. Area of the 6 columns 8.46 x 6 * 5076 sq. m. 4. Find the number of sheets required . Divide by the effective 194 covering of one G.I sheet 2.16 50.76 = 23.5 pcs. T 16 5 . Consider 10 % allowable factor 23.5 x 1.10 = 25.85 6 . Total G. l . sheets * 25.85 say 26 pcs. 7. Solve for the 2" x 2" frame of one column @ 10 m. o.c. 1.88 = 18.8 say pcs. .10 8. For 6 columns 19 x 6 = 114 pcs. 9 . Height of the column is 4.50 m. or 16 ft. Thus, the order will be: 114 pcs. 2" x T x 16 ' = 608 bd . ft. 10. Circumferential arc supporter 4.50 m. ht. = 5 pcs. . 90 11. Multiply by 2; 5 x 2 = 10 pcs. 195 The value of 2 is the circumferential supporter frame per G.l. sheet form at 90 cm. high having 2 frames per joint (see figure 5-7). 12. Total for 6 columns 1 0 x 6 = 60 pcs. 1" x 14" x 5" or 30 pcs. x 14" X 10’ = 350 bd. ft. r Note The circular column diameter is .60 m. or 2. ft. thus, a 5 ft. board length divided by two will be satisfactory for the circumferential arc. ( See Figure 5-7 ). Summary 26 pcs. .90 x 2.40 m. (36" x 8‘) plain G.l. sheet 114 pcs. 2” x 2" x 16’ 30 pcs. 1" x 14” x 10’ 1" x 14" Arc Iill Plain G.l . Sheet rr 90 cm 2" x 2" Supporters d ~ 60 cm Circular Column Form FIGURE 5-7 196 u TABLE S-3 QUANTITY OF LUMBER FORM FOR CIRCULAR COLUMN Lumber Size 10 Cm. 1” x T 2" x 2" 2” x 3" 1" x 8" 8.5 17.0 25.5 7.7 6.5 13.0 35.1 7.7 10.0 20.0 30.0 7.7 9.6 11.6 13.5 9.6 11.6 13.5 9.6 11.6 13.5 9.6 11.6 11.7 23.4 1" x 10" 1" x 12* 1" x 14" Board Foor Per Plain G. i Sheet Spacing of Frame 15 Cm. 2.5 Cm. 20 Cm. 19.5 7.7 13.5 ILLUSTRATION 5-5 Solving the problem of illustration 5-4 using Table 5-3, we have the following data: Number of columns Height Diameter Lumber Circumference - 6 pcs. - 4.50 m. = .60 m. - 1 x 14 and 2 x 2 - 1.88 m. SOLUTION 1 . Find the lateral surface area of the 6 circular columns 1.88 x 4.50 m. x 6 columns. = 50.76 sq. m 197 2. Divide by the effective covering area of one G.l Sheet 50.76 = 23.50 pcs. 2.16 3. Consider 10% allowance 23.22 x 1.10 — 25.54 say 26 pcs. 4. Solving for the supporter frame or ribs @ .10 m. ox. From Table 5-3; Multiply: 26 x 23.39 = 608 bd. ft. . 5. Circumferential supporter, using T' x 14” board Table 5-3 Multiply: 26 x 13.47 = 350 bd. ft. TABLE 5-4 FORM FOR BEAMS AND GIRDERS Plywood Size (m.) Number per sq . m. .90 x 1.80 . 81 1.20 x 2.40 .42 Lumber Frame Bd. Ft. per Plywood 2x2 2x 3 1x 2 8.0 16.0 16.0 24.0 32.0 48.0 ILLUSTRATION 5-6 Six concrete beams with cross-sectional dimensions of .30 x .40 m. has a uniform clear span of 4.50 meters. If 6 mm x 1.20 x 198 2.40 plywood form will be used on 2 x 2 wood frame , prepare the bill of matedats. 30 cm Plywood Form 40 cm 4.50 m. 2“ X 2” Frame 40 cm — FIGURE 5-8 SOLUTION 1. Determine the total length of the two sides (depth) and the bottom width of the beam. ( .40 x 2) + . 30 - 1.10 m. 2. Multiply by the clear span 1.10 x 4.50 - 4.95 sq. m . 3. Referring to Table 5-4 , solve for the plywood form. Multiply: 199 4.95 x .42 = 2.1 pcs. 4 . Solve for the frame or ribs. From Table 5-4, Multiply : 2.1 pcs. x 32.0 * 64 67.2 bd. ft Summary for 6 Beams 12 pcs. 6 mm. x 1.20 x 2.40 m. plywood 384 bd . ft. T x 2“ x 16’ lumber . TABLE 5-5 QUANTITY OF LUMBER FOR SCAFFOLDING AND STAGING Lumber Size T x 2" 2' x 3” 2' x 4" Column Bd. Ft. per Meter Ht. Vert. Hor. 4.67 21.00 11.67 7.00 9.33 31.67 17.50 42.22 23.33 Brace Beam Bd Ft. / M. Ht. Vert Hor. 4.00 6.00 8.00 4.67 7.00 9.33 Flooring Bd. Ft / M. Ht. 6.10 910 12.10 5-7 ESTIMATING THE SCAFFOLDING AND STAGING Estimating the quantity of the materials required for scaffolding or staging is somewhat difficult considering the volume of the materials involved. The computation requires time and 200 imagination in counting the various parts of the structure such as the vertical and horizontal support, the diagonal braces plus the blocks and wedges which are not shown even on a detailed plan of the building . The usual practice of most estimator is to to make an estimate by either the quantity of the materials or by a lump sum amount for forms and staging item in the bill of materials. Table 5-5 is specially prepared for for this purpose . -ijj Column — % v. 7-y Q 2 x 2 Horizontal and Diagonal Support S 2 x 3 Vertical Support Perspective rffft ' 4 oo * 7nr \ Plan FIGURE 5-9 201 ILLUSTRATION 5- 7 A reinforced concrete building has 9 columns with a clear height of 4.00 meters as shown on Figure 5-9. Determine the required staging under the following specifications: Vertical Support use 2" x 3” lumber Horizontal Support use 2" x 2" lumber Diagonal Braces use 2” x 2" lumber SOLUTION A . ) Staging for Columns 1. Find the total length of the 9 columns 4.00 m. x 9 = 36 m. 2. Referring to Table 5-5 and using 2** x 3" vertical support; Multiply: 36 x 7.00 = 252 bd. ft. If the height is 4.00 , order: 252 bd. ft. 2" x 3" x 14 ft. 3. For the horizontal support , refer to Table 5-5; using 2 x 2 Multiply : 36 x 21.00 = 756 bd . ft . 202 4 . Diagonal Braces . From Table 5-5 Multiply : £6 x 11.67 = 420 bd . ft. Summary: 252 bd. ft. of 1 , 176 bd. ft. of 2" x 3" x 14 ft. 2” x 2" x 16 ft. Note: If 2” x 2" is to be computed in linear ft . Multiply : by 3 1 , 176 x 3 = 3,528 In. ft. B.) Staging for Beams 1. Find the total length of the beams <4.50 x 6) + (4.00 x 6) 27 + 24 = 51 meters 2. Referring to Table 5-5 , we have; a) For vertical support using 2” x 3"; Multiply: 51 x 6.00 = 306 bd. ft. b) For horizontal support using 2" x 2"; Multiply : 203 51 x 4,67 = 238 bd. ft. c) Total: 306 bd. ft . 2" x 3” x 14 ft . 238 bd. ft. T x 3" x 14 ft . C.) Staging for Concrete Floor Slab 1. Find the area of the floor 4.50 x 4.00 x 4 units = 72 sq. m. 2. Referring to Table 5-5 using 2" x 3”; Multiply : 72 x 9.10 = 655 bd. ft . 3. Order: 655 bd . ft. 2" x 3” x 14’ Comments: In the construction of multistorey building, the Transfer of the forms, scaffolding or staging from one floor to the next floor is an inevitable normal operation wherein waste of materials could not be avoided due to tear and wear . The percentage of waste varies depending upon the following factors. 1. The difference in height between the 1st and the 2nd floor naturally requires adjustment of the vertical support. 204 2. The difference in sizes of beams and girders also requires form adjustments . 3. The tear and wear of forms and scaffolding are caused by the dismantling, transferring and re -assembling. 4. Reckless use and handling of the materials. This includes making firewood and pilferages during the period of construction. The use of inferior quality lumber will only result to high percentage waste and risk. To use poor quality lumber for economic reasons should be carefully evaluated because the final accounting result might be to the contrary as expected. As previously mentionedjhe percentage of wasfe in transfening the staging from one floor to the next varies from 10 to 20 % per floor depending upon the physical condition of the structure, the quality of materials and the manner of how they are handled. 205 CHAPTER 6 ROOFING MATERIALS 6- 1 GALVANIZED IRON SHEET Galvanized iron sheet is either Plain or Corrugated. Plain G .l. Sheet is widely used for roofing, gutter , flashing , downspout, ridge , valley and hip roll etc. Plain G.l. sheet standard commercial size is .90 m. wide by 2.40 meters long (3‘ x 8‘). Corrugated G.l . Sheet on the otherhand, is widely used for roofing and siding material having standard width of 80 centimeters with varying length from 1.50 meters to 3.60 meters at an interval length of 30 centimeters. Corrugated G. I. Roof Sheet - FIGURE 6 1 206 - TABLE 6 1 STANDARD WEIGHT OF GALVANIZED IRON SHEET IN KILOGRAM Gauge Thick 1.5 m. 1.8 m. 2.1 m. 2.4 m. 2.7 m. 3.0 m. 3.3 m . 3.6 m. No. cm. 5' 6' T 8‘ 14 22 36 20.25 35.78 40.25 44.72 49.19 53.66 28.35 32.40 36.45 40.50 44.55 48.60 16 .163 18.14 25.39 29.02 32.64 17 18 .147 16.43 26.83 24.30 27.76 19.72 31.30 15 .203 .180 14.73 17.67 19 .117 13.03 15.63 20 . 102 11.32 13.58 15 85 26.29 23.56 20.84 18.11 29.58 .132 23.00 20 62 18.24 36.27 39.90 43.52 32.86 36.15 39,43 21 .094 14.60 16.69 22 .086 .079 .071 13.46 12.22 15.38 23 10.43 9.62 8.73 23.45 20.38 18.78 17.31 13.96 15.71 11.07 12.66 14.24 9.84 11.24 8.66 9.90 8 06 9.22 12.65 11.14 10.37 9.59 8.82 8.06 24 25 26 27 28 29 30 .064 7.03 .056 6.19 .051 .048 .043 5.76 12.52 11.54 10.47 9.49 8.43 7.43 6.91 5.33 6.39 7.46 490 5.88 6.86 8.52 7.84 .041 4.48 5.37 6.27 7.16 7.91 Iff 26.51 1V 12' 29.45 32.40 35.34 26.05 28.66 31.27 22.64 24.90 27.17 20.86 22.95 25.03 19.23 21.15 23.08 1745 19.20 20.94 15.82 17.40 18.29 14.05 15.45 16.86 12.38 13.62 14.86 11.52 12.67 13.82 10.65 11.72 12.78 9.80 10.78 11.76 8 95 9.85 10.74 The thickness of galvanized iron sheets is measured in terms of Gauge number from 14 to 30. The sheet becomes thinner as the gauge number becomes larger. Gauge number 26 is the most extensively used in various tinsmithing work although gauge 24 is specified for gutters and flashing . How to distinguish the difference in thickness of G.l. sheets between the consecutive gauges from 14 to 30 is difficult even with 207 the aid of a caliper. The gauge is expressed in terms of hundredth of an inch or centimeter. The only way by which one could be sure that he is buying the right thickness of the sheet is by weight measure . Table 6- 1 is presented for this purpose; Procedures in estimating corrugated G .I . sheets 1 . Verify the specifications for side lapping if it is 1 1/2 or 2 1/2 corrugations. 2. If it is 1 1 /2 corrugations the effective width covering per sheet is 70 cm. , or 60 cm. for 2 1/ 2 corrugations . 3. The standard end lapping joint is from 25 cm. to 30 cm. 4 . The distances or spacing between purlins should be proportionally spaced and adjusted to the length of the G.I . sheets to avoid unnecessary cutting of the sheets. In short, the length of the roofing sheet shall govern the distances or spacing of the purlins. (Referto Table 6-2.) 5. As much as possible, minimize the end-lapping joint of the roof sheets. Always specify longer length for economical reasons . & - i , _ 2 1 /2 Corr . _ - G I. Sheets Puffins 1 1/2 Corr . End Lapping Side Lapping FIGURE 6-2 208 TABLE 6-2 EFFECTIVE COVERAGE OF CORRUGATED G.L SHEETS, ROOF ACCESSORIES AND PURLINS DISTANCES. Length Feet - Meter 1.80 2.10 2.40 6 7 8 9 10 12 2.70 3.00 3.60 Effective Width Covering Side Lapping 2 1/2 1 1/2 Number of Purlins Distance Nails or Rivets (cm. ) per Sheet . 70 .60 . 75 .70 .70 . 70 . 70 .70 .60 . 60 . 70 . 60 . 67 . 66 .60 60 . .60 .60 14 18 18 22 22 26 Procedures in estimating the quantity of corrugated G.I. roofing and its accessories. 1. Determine the length of the purlins along the gutter line. This distance is perpendicular with the roof direction. 2. Divide this length with the effective width covering of one sheet which is .70 m. for 1 1/2 corrugations or .60 m. for 2 1/2 corrugations (See Table 6-2 ) the result is the number of G.I . sheets in one row. 3. Determine the length of the rafter or the top chord. Choose the right combination of G.I . roofing sheets that will satisfy this length considering the 30 cm. end lapping joint. 4. Multiply the result found in step 2 by each length of G.I . sheet combination found in step 3. 5. Determine the number of G.I. nails or rivets and washers in 209 kilogram using Table 6-2 and Table 6-3. 6. Take note that the number of anchor G.l. strap and lead washer is the same as the quantity of the rivets. The G.l. washer is double the quantity of the rivets (see Table 6-3). 7 . Solve for the number of plain G.l. sheets required for anchor strap with the aid of Table 6-4 . - TABLE 6 3 QUANTITY OF ROOF ACCESSORIES IN KILOGRAMS Number of Pieces per Kilogram Materials G.l. Rooring nails G. I. Rivets G.l. Washers Lead Washers Umbrella Nails 120 180 126 75 120 TABLE 6-4 SIZE AND QUANTITY OF STRAPS IN ONE PLAIN G. I. SHEET Size of Purlins In 2" x 3" 50 x 75 2" x 4" 50 x 100 T x 5" 50 x 125 rx 6" 50 x 150 Size of G.I. Strap in Cm. Number of Strap in One Plain Sheet 2.5 x 22.5 2.5 x 25 0 2.5 x 27.5 2.5 x 30.0 384 210 342 312 288 ILLUSTRATION 6- 1 From Figure 6-3, find the number of corrugated G.l. sheets and its accessories required if the side lapping specify 1 1/2 corrugations with 30 cm . end lapping on a 50 mm. x 75 mm. purlins. Corr . G. I . Roofing 5.00 3 .o ^° GQ % FIGURE 6 3 * SOLUTION A,) For Corrugated G.L Sheets 1. Divide the length of the gutter by the effective covering of one sheet . Referring to Table 6- 2 Divide: 14.00 m. = 20 pcs. .70 m. 211 2. The length of the rafter is 6.00 m., thus, a combination of 3.60 m. and 2.70 m. long G.I. sheets. 3. Order: 20 pcs. .80 x 3.60 m. G.l. Sheets 20 pcs. .80 x 2.70 m. G . l . Sheets B.) Rivets 1. Referring to Table 6-2 for a 3.60 m. and 2.70 m . sheet . Multiply : For 3.60 m. long: 20 pcs. x 26 = 520 pcs. For 2.70 m. long: 20 pcs. x 22 « 440 pcs. Total number rivets = 960 pcs. - 2. Convert to kilograms. Referring to Table 6 3. Divide: 960 180 = 5.33 say 5.5 kg. C.) G.L Washers 1. Double the number of rivets 960 x 2 * 1,920 pcs . 2. Convert to kilograms. Referring to Table 6-3 1,920 126 = 15.24 say 15.5 kg. 212 D.) Plain G. I . Strap on 50 % 75 mm . purlins 1. Total number of rivets = 960 pcs. 2. Referring to Table 6-4 using 50 x 75 mm. purlins Divide: 960 - 2.5 pcs. Plain G.I. Sheets 384 £.) Lead Washers 1. The number of rivets is equal to the number of lead washers = 960 pcs. 2. Referring to Table 6-3 Divide: 960 = 12.8 say 13 kgs. 75 Summary 20 pcs. 80 cm. x 360 cm. Corr. G.I. sheets 20 pcs. 80 cm. x 270 cm. Corr. G.I sheets 5.5 kg. G.I. Rivets 15.5 Kg. G.I. Washers 13 kg. Lead Washers 2.5 pcs. Plain G.I sheets ILLUSTRATION 6-2 From Figure 6-4 find the number of corrugated G.I . sheets 213 including the umbrella nails required if the G .I . sheets are laid at 2 1/2 side corrugations and .30 m. end lapping joint. Gu%r - FIGURE 6 4 SOLUTION A.) Corrugated G. l . Sheets 1. Determine the number of roof sheets.Referring to Table 6^2 Divide: 18.00 m. = 30 pcs. .60 m. 2. The length of the rafter is 6.00 m. or a combination of 3.60 and 2.70 m. sheets with 30 meter end lapping ( See Table 6-5 ) . Multiply each sheet length by the result of step 1, thus; 214 30 pcs. - .80 m. x 3.60 m. Corr. G.l . Sheets 30 pcs. - .80 m. x 2.70 m. Corr . G .l . Sheets B.) Umbrella Nails 1. Determine the number of umbrella nails for the 3.60 m. and 2.70 m. roof sheets. Referring to Table 6- 2 Multiply: 30 sheets x 26 = 780 pcs. 30 sheets x 22 = 660 pcs. Total = 1,440 pcs. 2. Convert to kilograms. Referring to Table 6-3; Multiply: 1 ,440 = 12 kg. 120 . Corr. G l. Roofing 300 ». * . FIGURE 6-5 215 ILLUSTRATION 6- 3 From Figure 6-5 , find the number of corrugated G .l. sheets, roof nails, washers and lead washers required if the side lapping specify 11/2 corrugations . SOLUTION A .) Corrugated G . l . Roofing 1. Determine the number of corrugated roof sheets . Referring to Table 6-2; Divide: 12.90 m. = 18.43 pcs . .70 m. 2. Determine the length of the rafters ( see figure 6-5 ). 4.80 m. or 16 ft . 3. Referring to Table 6- 5 , 4 80 m. rafter requires a combination of 3 00 m. and 2.10 m. G.l. sheets. Therefore: 18.43 x 2 = 36 86 say 37 pcs. @ 3.00 m long . 18 43 x 2 5 36.86 say 37 pcs. @ 2.10 m. long B.) Roof Nails 1. Solve for the quantity of roof nails . Referring to Table 6- 2 216 Multiply: Fora 3.00 sheet 37 x 22 = 814 pcs. Fora 2.10 sheet 37 x 18 = 666 pcs. Total = 1 ,480 pcs 2. Convert 1 ,480 pcs . to kilograms Referring to Table 6-3, Divide: 1 ,480 = 12.33 say 13 kilograms roof nails. 120 . 1 ,480 = 11.75 say 12 kg. G.l. washers 126 1,480 = 19.73 say 20 kg . Lead washers - FIGURE 6 6 217 ILLUSTRATION 6-4 From Figure 6-6, determine the number of corrugated G.I. sheets , rivets, washers, lead washers including the plain G.l. straps required if the roof sheet is laid at 2 1/2 corrugations side lapping and 30 cm. end lapping on a 50 x 100 mm ( 2” x 4”) purlins. SOLUTION A .) Corrugated G . l. Sheets 1. Determine the number of corrugated sheets. Referring to Table 6-2 for 2 1/2 side lapping; Divide: 34.50 - 57.50 pcs. .60 18.00 = 30 pcs. .60 2. For a 6.00 m. and 5.40 m. length of rafter, refer to Table 6-5; Combine length: For 6.00 m. rafter combine For 5.40 m. rafter combine 3.60 and 2.70 m. sheets 3.00 and 2.70 m. sheets 3. Determine the number of G .l. sheets For 3.60 m. sheet: 57.50 x 2 run * 115 pcs. ( 12’) For 2.70 m. sheet: 57.50 x 2 run = 1.15 pcs . ( 9’ ) For 3.00 m. sheet: 30 x 2 run - 60 pcs. (10') For 2.70 m. sheet: 30 x 2 run = 60 pcs. ( 9 ’ ) 218 B.) G.I. Rivets: 1. Determine the number of rivets. Referring to Table 6-2; Multiply: For the 3.60 m. sheet: 115 x 26 = For the 3 .00 m. sheet: 60 x 22 = For the 2.70 m. sheet : 175 x 22 = Total = 2 ,990 pcs. 1,320 pcs. 3,850 pcs. 8,160 pcs . 2. Convert to kilograms. Referring to Table 6-3; Divide: a) Rivets: 8 , 160 = 45.3 say 46 kg. 180 b) G .I . Washers ( Double the Rivets ), from Table 6-3; Divide: 8,160 x 2 = 129.52 say 130 kg. 126 c) Lead Washer ( same number as the rivets), from Table 6-3; Divide: 8, 160 « 108.8 say 109 kg. 75 C.) Plain G. I. Strap 1 . Size of G.I . straps on a 50 x 100 mm. purlins - 2.5 by 25 cm. 219 2. Number of strap is equal to number of rivets = 8,160 pcs. 3. Solve for the number of plain G.l. sheets. Referring to Table 6-4 8,160 *= 23.86 say 24 pcs. 342 4. Common wire nails for the anchor straps 8,160 x 3 nails per strap = 24,480 pcs. 32 mm. CW Nail Note; 1 kilo of 4a, 32 mm. CW Nail is Approximately 695 pcs. Convert to kilograms. Divide: 24,480 * 35.2 say 36 kg. 695 D.) Ridge Roll , Fascia and Gutter( to be discussed later) Summary . . 115 pcs. .80 m. x 3.60 m. Corr. G I. Sheets 175 pcs. ,80 m . x 2.70 m. Corr. G l. Sheets 60 pcs. .80 m. x 3.00 m. Corr. G.l. Sheets 46 kgs. G l rivets 130 kgs. G l. washers .. . 220 109 kgs. Lead washers 24 pcs. 90 m. x 2.40 m. Plain G .l. sheets 36 kgs . 4 d, 38 mm. 32 mm. CW Nail - TABLE 6 5 COMBINATION OF CORRUGATED G.L ROOF SHEETS ON A GIVEN RAFTER LENGTH No. of Rafter Length Sheets 3.00 3.30 3.60 3.90 4.20 4.50 4.80 5.10 5.40 5.70 6.00 6.30 1 1 1 2 2 2 2 2 2 2 2 2 6.60 2 6.90 7.20 7.50 7.80 8.10 2 3 3 3 3 8.40 3 8.70 9.00 3 3 Combination of Roof Sheet Length Meters (Feet) 3.00 (10‘) 3.30 (11‘) 3.60 (12* ) 2.10 (7‘) 2.40 (8‘) 2.40 (8' ) 3.00 (10' ) 3.00 (10') 3.00 (10* ) 3.00 (10' ) 3.60 (12* ) 3.60 (12‘) 3.60 (12' ) 3.60 (12' ) 3.00 (10' ) 3.00 (10‘) 3.00 (10*) 3.60 (12' ) 3.60 (12' ) 3.60 (12' ) 3.60 (12' ) and and and and and and and and and and and and and and and and and and 221 2.10 (7' ) 2.10 ( 7' ) 2.40 (8‘) 2.10 (7' ) 2.40 (S' ) 2.70 (9‘) 3.00 (10' ) 2.70 9‘) 3.00 (10‘ ) 3.30 (11* ) 3.60 (12* ) 2.40 ( 8' ) 3.00 (10’ ) 3.00 (10' ) 3.00 (10' ) 3.00 (10' ) 3.60 (12‘ ) 3.60 (12' ) < and and and and and and and 2.40 (8' ) 2.10 (7' ) 2.40 (8' ) 2.10 ( 7‘ ) 2.40 ( 8‘) 2.10 ( 7* ) 2.40 ( 8' ) Comments: The estimating procedure for a hipped-roof is the same as that of the lean-to or gable type roofing, considering the effective covering of one sheet to be constant . However, a little variation might occur in actual construction under the following conditions: ° 1. If the hipped roof is not patterned at 45 extra cutting of the GJ . roofing is inevitable . 2 . Errors might be committed in cutting and /or lapping of the corrugated G .l . sheets . Under these circumtances, an allowance of 5% to 10% will be satisfactory. 6-2 GUTTER , FLASHING , RIDGE, HIPPED AND VALLEY ROLL Estimating these kind of roof- accessories is simply determining the number of plain G. l . sheets needed to fabricate the gutter , flashing and the different rolls according to the shape as shown in the plan. In building construction , this is categorized under the tinsmithing work. The primary consideration in tinsmithing job is economy which simply mean "To utilize every inch of the tin sheet ’'. As much as possible , any unnecessary or unwise cutting of the tin sheet should be avoided . Cutting shall start from the widest to the narrowest part of roof accessories. Experienced tinsmith start cutting from the gutter , then the flashing down to the smallest plain G .l.strap thereby avoiding waste . 222 Estimating procedure: 1. Determine the total length of the gutter. 2. Divide this length by 2.35 m. to find the number of gutter required. ( 2.35 is the effective length of one gutter ) 3. Find the total width of one gutter (see the detailed plan) , 4. Divide .90 m. (36 inches) width of one plain G .i. sheets by the result of step 3 to find how many gutter could be made out from one plain G .I. sheet. The fractional value or extra cut shall be reserved for other smaller parts. 5. Divide the result of step 2 by the result of step 4. The result is the required number of plain G.I sheets. 34.50 m m E S 27 00 m 00 1 2.5 cm as 7.50 m . Cross Section of Gutter FIGURE 6-7 223 (N ILLUSTRATION 6- 5 Reproducing Figure 6-6 of illustration 6-4 , find the number of plain G .l . sheets required to fabricate the gutter as illustrated. SOLUTION 1 . Find the total length of the roof gutter. 34.50 + 27.00 + 2(7.50) + 18 + 25.50 = 120 meters. 2. Divide the length by 2.35 (effective length of one gutter « 8‘) 120 = 51 pcs . 2.35 3. The total width of one gutter is 55 cm. (see figure); Subtract : 90 cm. - 55 cm. = 35 cm. extra cut This extra cut of 35 cm. from one plain G.l . sheet could be set aside momentarily to be considered in making other roof accessories. Thus, only one gutter at 2.40 m. ( 8' ) long could be made out from one sheet 4 . Therefore , order 51 pcs. plain G .l . sheet for fabrication of gutters. Comment It will be noted that the standard commercial width of one plain 224 G .I . sheet is 90 cm . ( 36” ). The total width of one gutter is 55 cm. , subtracting 55 from 90 will result to an extra cut of 35 cm . This simply mean that only one gutter could be taken from one plain G.I. sheet with an excess cut of 35 centimeters . The 35 cm . excess does not necessarily mean to be considered as waste because there are several parts in the tinsmithing work such as flashing, downspout and straps that only requires smaller cut or dimensions. ILLUSTRATION 6-6 From Figure 6-8 , find the number of plain G.I. sheets required for gutter and flashing. 4.50 m . Ijr 22 5 cm. „ 5 cm . 2.5 cm. 115 cm. 7.5 cm. Flashing Gutter FIGURE 6-8 225 SOLUTION A .) Gutter 1 . Find the total length of the roof gutter . From figure 6-8 the total length is = 20 meters. 2. Divide this length by 2.35 m. effective length of one gutter. 20_ = 8.5 say 9 pcs. gutter at 2.40 m. long . 2.35 3. Determine the total width of one gutter . From figure 6-8 the total width is = 45 cm. 4 . Divide the width of the plain G. l . sheet by the width of one gutter . JK) = 2 pcs. Gutter per sheet .45 5 . Divide the result of step 2 by the result of step 4 8.5 = 4.25 say 5 pcs. plain sheet . 2 B.) Flashing 1 . Determine the total length of the flashing. From figure 6- 8 length is « 18 meters. 2. Find the number of flashing 226 18 m. * 7.8 say 8 pcs. 2.30 m. 3 . Width of the flashing is = 45 cm. Divide: .90 m. = 2 pcs. per G.l. sheet .45 4 . Divide the result of 2 by step 3 8.0 = 4 pcs. plain G .l . sheet . 2 Summary For Gutter: 5 pcs. 90 cm. x 2.40 m. plain G.l. sheets For Flashing: 4 pcs. 90 cm. x 2.40 m. plain G .l . sheets 9 pcs. 90 cm. x 2.40 m. plain G .l. sheets Total TABLE 6-6 ROOF ACCESSORIES Effective Length in Meter Item 2.35 2.30 Gutter Flashing Ridge Roll Valley Roll Hipped Roll Soldering Lead Muriatic Acid 2.20 2.35 2.20 1/4 bar ( .25 ) per Solder Joint 10 cc per Soldering Lead 227 C.) Ridge, Valley and Hipped Rolls The estimating procedure for this type of roof accessories is the same as that of the gutter and the flashing . TABLE 6-7 CORRUGATED PLASTIC ROOFING SHEET Effective Width Covering Corrugation 1 1/2 2 1/2 Commercial Size In . / ft Meter 26" x 8 ' 29" x 8 ' 650 X 2.40 . 725 x 2.40 46 m . 53 m. . . .31 m. . 38 m. 6-3 ASBESTOS ROOFING Unlike galvanized iron roof sheet, estimating the asbestos roofing material is simpler because all the roof accessories and parts to be used such as gutter , ridge , hip and valley rolls are all factory made for installation . Unlike galvanized iron roofing where all the accessories are made on the site out from the standard dimension of plain G.l. sheets. Estimating procedure for asbestos roofing is enumerated as follows: 1 . The number of corrugated sheet is determined by dividing the gutter length by the effective width covering of one sheet . 228 2. In finding the number of flashing , gutter , ridge , hip and valley rolls, divide the total length by the effective length of the accessories. 3. Other parts such as ridge, end cap, apron flashing , gutter corner, downspout and fittings are determined by direct counting, they are all readily made according to factory standard sizes. ILLUSTRATION 6-7 From Figure 6-9 , Find the standard asbestos roofing sheets and accessories required. - FIGURE 6 9 SOLUTION A . ) Corrugated Sheets 1. Find the number of corrugated sheets. Refer to Table 6-8; Divide; 229 26.00 * 31.02 “ 838 2 Length of rafter is 3.00 m x 2 sides . Order . 62 pcs. 3.00 m standard asbestos sheets B.) Gutter 1. Divide the total length of roof gutter by the effective length of one gutter. Referring to Table 6-8; 26 x 2 3 52.00 meters total length = 22 26 pcs 52.00 2 336 m. 2. Total length of ridge roll - 26.00 m Referring to Table 6-8; Divide: 26.00 = 31.02 pcs. ridge roll .838 C.) Flashing 1. Find the total length of the flashing (see figure) 3.00 x 4 sides = 12.00 m. 2 Refemng to Table 6-8 Divide 12.00 = 5.249 pcs. 2.286 m. 230 D,) Ridge End Cap - By actual counting DIFFERENT KINDS OF ASBESTOS ROOFING 1. Standard Corrugated Sheet 2 . 4-V Corrugated Sheet 3. Kanaletas 4. Placa Romana 5. Tencor Corrugated Sheet 6. Ardex lightweight corrugated sheet a) Standard Ardex b) Super Ardex TECHNICAL DATA FOR ESTIMATING PURPOSES TABLE 6-8 STANDARD CORRUGATED SHEETS Length End lapping: Below 20 degrees Above 20 degrees Effective width .30 m. .15 m. .838 m. .838 m. Ridge Roll effective length Gutter effective length Outside Flashing Hip Roll .838 1.20 x 3.00 m.. 2.336 m. 2.286 m. 1.676 m. m. Lap .98 m. STANDARD CORRUGATED SHEET FIGURE 6-10 231 TABLE 6-9 CORRUGATED SHEETS TECHNICAL DATA 2.438 m. .965 m. . 965 m. Standard Length Effective width Ridge Roll effective length Outside Flashing effective length 2.286 m. 965 m Lap v/WVM 1.CX) m. CORRUGATED SHEET FIGURE 6-11 .177 m .177 m. .244 m Lap .058 m KANALETAS FIGURE 6- 12 232 TABLE 6*10 KANALETAS Length in Meter Items 7.315 Length . 885 Effective Width . 885 Eaves Flashing Outside Flashing effective length 2.40 to 3.00 Lap 1.18 m. PLACA ROMANA FIGURE 6-13 - TABLE 6 11 PLACA ROMANA Item Length in Meter 812 Standard Length . 600 Effective Length 1.180 Standard Width 1 100 Effective Wdth 200 End Lap 080 Side Lap 1 100 Ridge Roll Effective Length Outside Flashing Effective Length 2 286 1 100 Ridge Flashing Effective length 1 100 Eaves Flashing Effective length Other accessories, estimate by direct counting 233 .67 m Lap .75 m. TENCOR FIGURE 6- 14 TABLE 6-12 TENCOR CORRUGATED SHEETS Items Length in Meter Standard Length Lapping Effective Length Standard Width Effective Width Outside Flashing Minus Lapping Ridge Roll 2.44 .15 or .30 2.29 or 2.14 .748 .675 1.50 to 3.00 . 15 .953 Other accessories , estimate by direct count . .07 m. .45 m. rVWWNA; Lap ARDEX FIGURE 6 15 - 234 TABLE 6-13 ARDEX CORRUGATED SHEET Items Measurement Standard Super Standard Width 52 cm. 105 cm. Effective Width 45 cm. 97 cm. Nominal Length 75 to 315 cm. 240 to 360 cm. Ridge Roll Eff. Length 95 cm. 95 cm. Outside Flashing 1.50 - 200 cm. 150 to 300 cm. Side Lapping 15 cm. 15 cm. - 6-3 COLORBOND KLIP LOK Colorbond is a corrosion resistant zinc coated steel sheet prepainted steel ribbed tray roofing and walling with the following special features: 27 mm Mean Rib Width 41 mm m Female Rib Male Rib 203 mm 1b 203 mm 406 mm Coverage ( 427 mm| Overall Width FIGURE 6-16 235 1. Concealed fastening 2. Lock action rib design 3. Attractive flutted trays 4 . Near flat roof slopes 5. Less supports- wider spaced 6. Strong lightweight steel 7. Custom cut long lengths Technical Data: = 0.60 mm. Total Coated thickness * 0.63 mm. Weight per meter length of panel = 2.66 kg. = 6.55 kg/m2 Weight per covered area - 15 m. Length available up to Longer length through special Steel base thickness order up to Overall width Effective Width Coverage - 35 m. = .427 m. = .406 m. - TABLE 6 14 RECOMMENDED FASTENERS - (TWO FASTENERS REQUIRED PER CLIP) Support Member Normal Fastening Fastening over Insulation up to 100 mm (4") Steel up to 3/32" No . 10-16 x 5/8" (16 mm) No . 10-16 x 7/8 (22 mm) (2.5 mm) thick wafer head self drilling wafer head self drilling and tapping screw and tapping screw No . 10-24 x 5/8" ( 16 mm ) No . 10- 24 x 7/8" (22 mm) wafer head self drilling wafer head self drilling and tapping screw and tapping screw Steel 3/32" to 3/ 16" - (2.5 5 mm) thick 236 M Steel over 3/1 * 6" No 10- 24 x 5/8" {16 mm) Pre-drill 11/64" (4.5 mm) (5mm) thick wafer head thread cutting hole for No. 10-24 x 7/8" screw . Drill 11/64" (4.5mm) ( 22 mm) wafer head self drilling and tapping Hardwood Softwood 2“ x 9G(50 x 3.75 mm) screw 2 1/2" x 9G (60 x 3.75 mm) counter sunk head G.l. counter sunk head G.l. spiral nail, or No. 10-12 spiral nail or No. 10-12 x x 1" (25 mm) type 17 1 3/4"{ 45 mm) type 17 wafer head self drilling wafer head self drilling wood screw. wood screw No . 10-12 x 1 3/4" (45 mm) No . 10- 12 x 1 3/4" (45 mm) type 17 wafer head self type 17 wafer head self drilling wood screw. drilling wood screw 6-4 BANAWE HORIZONTAL METAL TILE L*’ Mtn. Roof Inclination Cross Section of Banawe Metal Tile FIGURE 6-17 237 Technical Data Nominal Width Effective Width Coverage Length Longer Length Minimum Roof Slope 228 m. . 204 m 12.19 m. Special Order 15° 6-5 MARCELO ROOFING SYSTEM 1.35 m. / FIGURE 6-18 Technical Data: Width 1.14 m Length 1.11 m. Effective Width Coverage . 95 m Effective Length . 96 m. Effective Area Coverage per Sheet . 92 sq m. Number of Fastener per Sheet First row 15 pcs. per sheet 238 Succeeding Rows Average No. of fasteners 10 pcs. per sheet 12 DCS. per sheet per sheet 6-6 COLORBOND CUSTOM ORB Crest Fastening to Steel I CUSTOM ORB Crest Fastening to Wood - FIGURE 6 19 Technical Data Nominal Width . 80 m. Efective Coverage , 76 m. 1.35 m. Special Order Length: Longer Length Maximum recommended length for continuous sheet without expansion joints 24 m. 239 6-7 MILANO LONGSPAN STEEL BRICKS 38 cm i3 cfC rT tiffin 30 cm - — . A = 5 cm to 43 cm dependingupon the length of the top tile Fastened to supports through the crest of the corrugations Direction of A sheet laying/ 4- 1 1/2 corrugation sKle lap 2 1/2 corrugation side lap * Nailing position for ridge and gutter line * Nailing position for intermediate tile presses. tile presses FIGURE 6 *20 Technical Data 0.40 mm (No. 26) 0.46 mm 4.53 kg. 3.44 kg. .67 m. 6.00 m. Special Order 10° min. Steei base thickness Total coated thickness Weight per sq m. Weight per length Effective coverage Length up to Longer length Recommended roof slope - 6 8 COLORBOND TRIMDEX HI -TEN 240 Notch and turn aown toga or RIDGE CAPPING copping bat ween ribs. Fatten at alternate rib . Fatten at alternate rib . * Turn up tray between rib . * * Turn up tray between rib . TRANSVERSE FASCIA CAPPING * Notch and turn down edga of capping between rib *. 1 1/8 in ( 29 mm ) I . + 2 3/ 8 in S 1/8 in ( 130 m ti) (60 mm) 30 in (760 mm) COVER FIGURE 6-21 Technical Data Steel base thickness Total coated thickness Weight: Per unit area Per unit length Normal width Effective width coverage Available length up to Lenger length Minimum slope: Single sheet Roof with end lap 0.40 m. 0.46 m. 4.28 kg./ sq. m. 3.26 kg / sq. m. 0.83 m. 0.76 m. 15 m. Special Order 3° 5° 241 * Fasteners: 1 For Hardwood : Use Type 17 self drilling wood screw No. 12 x 50 mm hexagonal head with neoprene washer. 2 For Soft Wood Add 12 mm to length of screw. 3 There should be four fasteners per sheet at all supports. 4 For side lap fasteners, use type S point self drilling screw No.10 x 16 mm hexagonal head with neoprene washers. 5 Teks self drilling screw to steel supporters up to 4.5 mm thick use No 12 x 45 mm hexagonal head with neoprene washer . 6- 9 BRICK TILES ROOFING Technical Data: Description Marceille Type(flat) Ondula Type (wavy ) Sr. (Standard ridge ) Half Marceille JRT- 1 JRT- 2 JRT- 3 JRT -4 JRT- 5 SRT- 1 SRT- 2 SRT- L SRT- R JSR- 1 JSR -2 SRT- U SRT- T Weight per Piece in kg 3.60 400 280 200 3.00 3.75 3.20 3 20 220 400 2.20 2.25 2.25 2.00 3.00 1 75 1.50 242 Total Number Required 14.0 per sq. m. 15.0 per sq. m. 2.5 per In. m. 1.0 per In. m. 13.0 per sq. m. 4.0 persq. m. 1.0 per In m 1.0 per In. m. 4.0 per In m. 13.0 persq . m. 1.0 per In m. 1.0 per In. m 10 per In. m 10 per In. m. 4.0 per In. m. 25.0 per sq. m. 25.0 per sq. m. 7 CHAPTER TILEWORK 7-1 CERAMIC TILES Ceramic tiles is one of man’s oldest building material continuously in use due to its unique , functional and decorative properties. Ceramic tiles offer an almost unlimited choice of patterns and colors which does not fade and is practically indestructible. Decorative ceramic tiles were widely used during the period of the Medieval Islamic Architecture from Persia to Spain and extended up to the period of the contemporary Architecture. Ceramic tiles are classified as: 1 . Glazed Tiles are principally used for walls and light duty floors. 2. Unglazed tiles are hard, dense and homogeneous composition, primarily used for floors and walls. Various Types of Tiles 1. Porcelain tiles are made from the pressed dust processed 243 into fine grain, smooth, dense and shapely formed face, . 2 Natural clay tiles are made from either the pressed method or the plastic method from dust clay that produce a dense body with distinctive slightly textured appearance. 3. Ceramic mosaic tiles are mounted on a 30 cm. x 30 cm. paper as binder of the tiles to facilitate its laying or setting. 4. Quarry tiles are made through the plastic extraction process from natural clay or shale. 5. Faience mosaic Tiles are tiles less than 15 square centimeters in facial form. . 6 Special purpose ceramic tiles : a) Nonslip tiles b) Ship or Galley c) Frost proof tiles d) Conductive tiles 10 x 20 Glazed Tiles 10 x 20 Glazed Tllea Zoo 1.50 m. 20 x 20 Floor Tilee FIGURE 7-1 244 ILLUSTRATION 7-1 From Figure 7- 1 , determine the quantity of the following materials: a) 10 x 20 cm. Glazed wall tiles b) 20 x 20 cm. Unglazed floor tiles c) Cement and sand mortar d) White cement paste filler SOLUTION- 1 ( By Fundamental Method ) 1. Solve for the wall area . A = 1.50 x { 5.00 + 3.00 ) A = 1.50 x 8 * 12 sq. m. 2. Solve for the wall glazed tiles. Divide the wall area by the area of one tile . 12 sq. m. .10 x .20 = 12 .02 = 600 pcs 10 x 20 cm (4" x 8") glazed tiles. 3. Solve for the floor tiles. Floor area divided by area of one tile. A = 5.00 x 3.00 floor area a (.20 x .20) area of one tile 245 = 15 .04 = 375 pcs. 20 x 20 cm. floor unglazed tiles Total Area - 1 2 + 1 5 = 27 sq. m. x .076 = 2.0 bags White Cement joint filler 27 sq. m. x .50 - 13.5 say 14 kgs. 5. For breakage allowance , 5 to 10% is satisfactory . TABLE 7-1 QUANTITY OF CERAMIC TILES PER SQUARE METER Size Classifications in. cm. 12 x 12 30 x 30 1.0 1076 7.5 x 7.5 3x3 4x4 10 x 10 4 1/4 x 4 1 /4 10.62 x 10.62 10 x 20 4x8 15 x 15 6x6 20 x 20 8x8 30 x 30 12 x 12 16 9 7.97 177.8 Mosaic Tiles Glazed and Unglazed Tiles Number of Pieces Per Square Ft Square M. 5 Point Hex. Tiles 4 Point Hex Tiles 5 2 2 5 85.7 50.0 4.5 4 2.25 1.0 25.0 10.76 61 / ft 4.9 / ft 20 / m. 16 / m. External Comer Bead - Direct count Internal Comer Bead - Direct count Portland cement paste mortar - . 076 bags per sq. m - . 5 klg per sq. m. White Cement Filler paste 246 100.0 44.5 SOLUTION -2 (By the Area Method ) 1 Solve for the wall area A = 1.50 m. x 8.00 m. - 12 sq. m. 2. Refer to Table 7-1, ysing a 10 x 20 cm. glazed tiles; Multiply: 12 sq. m. x 50 pcs. per sq. m. 600 pcs. 3. Solve for the 20 x 20 cm. floor tiles. Referring to Table 7-1 Multiply: Floor area = 5.00 x 3.00 m. - 15 sq. m. 15 sq. m. x 25 pcs. * 375 pcs. 4. Solve for cement mortar and paste filler. Total Area : 12 + 15 = 27 sq. m. 5. Referring to Table 7-1: Multiply: Cement mortar White Cement 27 sq. m. x .076 = 2.0 bags 27 sq. m. x .50 = 13.5 say 14 kgs. 5. For breakage allowance , 5 to 10% is satisfactory . 247 ILLUSTRATION 7-2 From Figure 7-2, determine the quantity of the following materials: a . 12" x 12" mosaic floor tiles b. 4" x 4" wall glazed tiles c. internal bead and capping d. Internal comer bead e. External corner bead f. Ordinary Portland cement g. White cement 1.50 m FIGURE 7-2 248 SOLUTION A.) Mosaic Tile Flooring 1. Solve for the floor area 1.50 x 2.00 * 3.0 sq. m. 2. Referring to Table 7 1 using 12" x 12” mosaic floor tiles; Multiply: * 3.0 sq. m x 10.76 * 32.3 say 33 pcs. B.) Glazed Tiles for Walls 1. Solve for the lateral area of the wall. 2(2.00) + (1.50 + .75) x 1.50 m. ht { 4 2.25 ) x 1.50 m. + * 9.37 say 9.4 sq. m. 2. Referring to Table 7-1, using 4 " x 4" glazed tiles: Multiply: 9.4 x 100 - 940 pos. 3 Add 2% to 5% allowance for breakage C. Internal Bead 1. Solve for the length or perimeter of inside corners. 249 2(2.00) + (1.50 + 1.50) = 7.00 m. 2. Solve for the length of 4 vertical wall corners : 4(1.50 m. ht.) + 7.00 m. 6.00 + 7.00 = 13.00 m. 3. Divide this length by the length of internal bed or the tile. 13.00 m = 130 pcs. internal bead. .10 m. D.) Capping 1. Solve for the perimeter of the wall tiles 2(2.00) + 150 + .75 = 6.25 m. 2. Add capping along door jamb : 1.50 x 2 * 3.00 m. Total * 9.25 m 3. Divide by one capping or tile length. 9.25 « 92.50 say 93 pcs. .10 4 . Add 1 to 2% allowance for breakage. E.) Internal Corner Bead By direct counting there are 4 comers , order 4 pcs . 250 F.) External Corner Bead By direct counting, order 4 pcs. G.) Ordinary and White Portland Cement for Paste 1 . Total floor and wall area * 3.0 + 9.4 » 12.4 sq. m. 2. Solve for the ordinary cement for paste. Referring to Table 7-1, multiply: 12.4 x . 076 = .94 say 10 bag cement 3. Solve for the white cement filler. Referring To Table 7-1, multiply: 12.4 x .5 kg. per sq. m. = 6.2 say 7 kgs. white cement. Summary 33 pcs. 12" x 12” (30 x 30) mosaic tiles 940 pcs. 4" x 4" (10 x 10) glazed tiles 130 pcs. 4" ( 10 cm.) Internal Bead 93 pcs. 4” ( 10 cm.) capping 4 pcs. 4" ( 10 cm.) Internal comer bead 4 pcs. 4” ( 10 cm.) External corner bead 1 bag at 40 kg. cement 7 kg. White cement 251 7-2 MARBLE TILES Marble is a hard metamorphic limestone white or colored ana sometimes streaked or mottled in crystalline or granular state and capable of taking high polish. It is used in sculpture , furnitures topping for slabs and floor etc . Marble as construction materials have been extensively used from the ancient time of the Geek to the Roman Empire down to the modern and contemporary Architecture. TABLE 7- 2 QUANTITY OF MARBLE TILES AND MORTAR PER SQUARE METER * Number per sq. m. Size cm. 15 x 30 20 X 20 20 x 40 30 x 30 30 x 60 40 x 40 60 x 60 ; 22.3 25.0 12.5 11.1 5.6 6.3 2.8 Sand Cement Bags Mixture I | A B C cu . m. .45 . 30 .225 .025 .45 . 30 . 30 .225 .225 .225 .225 . 225 , 225 .025 .025 .45 .45 . 30 .45 . 30 . 45 . 30 . 45 .30 .025 .025 . 025 .025 * Cement mortar computed at an average thickness of 2 5 centimeters. ILLUSTRATION 7 -3 From Figure 7-3 , solve for the number of 30 x 60 marble tiles required including the cement and sand for class B mortar . 252 1.00 m. 6 00 m 4.00 m. I - 12 00 m Floor Plan FIGURE 7-3 SOLUTION: 1 . Solve for the floor area . A * 12.00 x 5.00 A = 60 sq. m. 2. Referring to Table 7-2 for a 30 x 60 marble tiles class B mortar mixture; Multiply: 60 sq. m. x 5.6 pcs. * 336 pcs. 3 . Cement at 40 kg. per bag using class B mixture , from Table 7-2; Multiply: 60 x .30 = 18 bags 4. Sand: 60 x .025 = 1.5 say 2 cu. m. ?53 5 . Add 5% for cutting allowance and breakage . Summary 336 + 16 (allowance) - 352 pcs . 30 x 60 marble tiles 18 bags cement at 40 kg. 2 cu. m. sand Polymir Liquid .035 gal. per sq. m. Hardener .030 quarts per sq. m. Calsomine Powder 020 kg. per sq. m. 7-3 VINYL AND RUBBER TILES The standard specifications for vinyl and rubber tiles provides that: "It shall be non-fading, odorless and nonslip even when wet and shall be strong enough to withstand the ordinary tear and wear, cleaning and moving of furnitures without damage and shall be selfdealing Tiles shall be laid to conform with the manufacturer’s specifications which partly states that a) Adhesive cement shall be applied to the floor every after the tiles are laid on the surface. b ) Tiles are pressed with linoleum roller to avoid blisters. c) After completion, aH work shall be cleaned of cement , dirt and other substances, d) Apply two coats wax and poGsh to smooth shiny finish. 254 TABLE 7 *3 VINYL AND RUBBER TILES Stock Size 3 mm thick . 20 x 20 . 225 x .225 .25 x .25 . 30 x . 30 .40 x 40 .60 x .60 Number Per Sq. M. Gallons of Adhesive per Sq. M. 25.00 19.75 16.00 .042 11.11 6.25 2.78 . 042 . 042 042 . 042 . 042 . ILLUSTRATION 7-4 An office room with a general dimensions of 7.00 m. x 9.00 m is undergoing renovation. Determine the number of 30 cm. square vinyl tiles required including its adhesive for installation. SOLUTION 1. Solve for the floor area 7.00 x 9.00 * 63 sq. m. 2. Determine the number of 30 cm. vinyl tiles. Referring to Table 7-3, multiply: 63 sq. m. x 11.11 - 700 pcs. 3. Finding the required adhesive cement, refer to Table 7-3; Multiply : 255 63 x .042 = 2.65 say 3 gallons . 7-4 TERRAZO AND GRANOLITHIC Terrazo and granolithic are types of marble mosaic floor finish that uses portland cement as base material. It has a characteristics of durability , great beauty and variety . Installation of this type of floor topping is done by either: 1. Monolithic or Cast-in Place 2. Pre-Cast Monolithic or Cast-in Place - means massively , solid, single and uniform floor finish cast in place . A mixture of cement and marble chips to a proportion of 1: 3 is casted on top of a rough floor slab surface to an average thickness of 1.25 cm The floor is then grinded after it has attained sufficient hardness to withstand abrasion and vibration caused by the grinding machine . Grinding of the floor surface shall not be allowed earlier than 48 hours after casting Pre-Cast refers to granolithic tiles in various dimensions hydraulically pressed and molded in a factory . The distinctive difference between the cast in place and the pre cast installation is the manner and place of casting or molding. The former being installed on site and the latter at the factory site . Thus , pre cast is installed in a tile form while cast in place is installed in a fresh mixed form. Normally , a dividing hard brass strips with alloy zinc are installed in between tiles to control and localize any shrinkage or flexure cracks. The dividing strip thickness ranges from 1.56 mm. to 3.12 mm. or thicker depending upon the design . 256 Monolithic or Cast-in Place Estimating Procedure 1 . Solve for the total floor area in square meters . 2. Multiply the area by . 172 to get the number of bags of white or colored cement required. 3. Multiply the floor area by 12.5 to get the weight of the marble chips in kilogram. 4. Multiply the quantity found by the unit cost. - ILLUSTRATION 7 5 For an 8.00 m. by 10.00 m. room that specify cast 4 n place granolithic floor, list down the materials required . pp 8 00 m Granolithic Floor •V ii 10.00 m. Floor Plan FIGURE 7-4 SOLUTION 1. Find the floor area 257 8.00 x 10.00 m. * 80 sq. m. 2. Determine the quantity of white cement required. 80 x .172 * 13.76 say 14 bags. 3. Determine the quantity of marble chips required. 80 x 12.5 * 1,000 kg. - TABLE 7 4 TERRAZO AND GRANOLITHIC FLOORING stock Pieces Size m. per sq. m. .20 x .20 .225 x .225 .25 X .25 .30 x .30 .35 X .35 .40 x .40 25.00 1&.75 16.00 11.11 8.16 6.25 Cement bags per sq. m. Mixture Class A B Sand cu. m. .338 .225 .0188 .338 .225 .225 .225 .0188 .0188 . 0188 .225 .225 . 0188 .0188 .338 .338 .338 .338 sq. m. Brass Divider meter / sq. in- 10.8 10.0 8.9 8.0 6.0 5.8 Pre Cast Installation ILLUSTRATION 7-6 A room with a general floor dimensions of 10.00 m. x 20.00 meters specify a 40 x 40 cm. granolithic floor tiles. Using class 6 mortar base, determine the quantity of 40 cm. square tiles, cement, sand, and brass divider required. 258 40 x 40 cm Tiles E § 40 x 40 cm Tiles - i: i o 20.00 m Brass Divider Floor Plan FIGURE 7- 5 SOLUTION 1 . Find the total floor area . 10 m. x 20 m. = 200 sq. meters 2. Solve for the number of tiles required. Referring to Table 7-4 Multiply: 200 x 6.25 = 1,250 pcs. 40 x 40 cm. tiles. 3 . Using class B mortar , solve for cement. From Table 7-4 Multiply: 200 x 225 = 45 bags cement 4 Determine the quantity of sand. From Table 7-4 ; Multiply: 200 x 0188 = 3.7 say 4 cubic meters. 259 5. Determine the quantity of brass divider in between tiles. Referring to Table 7-4 , multiply : 200 x 5.8 ~ 1 ,160 meters 7-5 CEMENT TILES Cement tiles are hydraulic pressed, locally manufactured in the following commercial sizes. 25 mm x 15 cm. x 15 cm. ( 1" x 6" x 6" ) 25 mm x 20 cm. x 20 cm. ( 1 x 8" x 8” ) 25 mm x 25 cm. x 25 cm. ( 1” x 10“ x 10" ) 25 mm x 30 cm. x 30 cm. ( T' x 12” x 12' ) H 1 Estimating the number of cement tile required includes the mortar assumed at an average thickness of 20 mm. {3/4”). The methods applied in estimating cement tile work is either : 1. The unit measure method 2. Square meter area method 7.00 m. 20 x 20 cm. Cement Tiles m 9.00 m, Floor Plan 3 FIGURE 7-6 260 Cement Tiles ILLUSTRATION 7- 7 Find the number of 20 m x 20 m. cement tiles required for a school classroom with a general dimensions of 7.00 m. x 9.00 m using class B mortar mixture . SOLUTION - I ( By ihc Unit Measure Method ) 1 . Divide the length and width of the classroom by the width of one tile . 7.00 = 35 pcs . 20 9.00 - 45 pcs. 20 2. Multiply : 35 pcs. x 45 pcs. * 1 ,575 pcs . 3 . Solve for Cement Mortar Referring to Table 7-4 Multiply : 7 00 x 9 00 x 0188 * 1.18 cu. m. 4 . Solve for the quantity of cement and sand required mortar Referring to Table 2- 1 , multiply: Cement : 1.18 x 12 = 14.16 say 15 bags. Sand : 1.18 x 1.0 » 1.18 cu. m. 261 SOLUTION -2 ( By the Square Meter Area Method) 1. Sotve for the floor area 7.00 x 9.00 = 63 sq . m. 2. Solve for the number of tiles .Referring to Table 7- 4 Multiply : 63 x 25 s 1 ,575 pcs. 3. Using class B mortar mixture , refer to Table 7- 4 Multiply: Cement : 63 x .225 = 14.17 bags Sand : 63 x .0188 * 1.18 cu. m. ILLUSTRATION 7- 8 From Figure 7-7, find the number of 25 cm. x 25 cm. cement tiles including the mortar using class "A" mixture. 15.00 m. A — - 8.00 m B 18.00 m FIGURE 7*7 262 8 00 m SOLUTION 1. Find the total area of A and B A - 15.00 x 8.00 = 120 sq. m. B = 18.00 x 8.00 = 144 sq. m. Total Area = 264 sq. m. 2. Solve for the number of 25 cm. tiles. Referring to Table 7- 3 Multiply: 264 x 16 — 4 ,224 pcs 3. Solve for the mortar materials: From Table 7- 4; Multiply Cement : 264 x .338 = 89.20 say 83 bags Sand : 264 x .0188 = 4.96 say 5 cu. m. 7-6 WOOD TILES Wood tiles is a combination of wood pieces in various dimensions with thickness that ranges from 6 mm to 8mm. Wood tiles are carefully laid one at a time on smooth surface concrete floor slab applied with good kind of white glue . The tiles is then grinded with No.300 and 100 sand paper 24 hours after setting to produce a fine and smooth even surface. Sandpaper dust is mixed with wood glue and used as filler of tile joints. Estimating Wood Tile is no more than the following simple steps: 263 1 . Solve for the net floor area to be covered with wood tiles in square meter or square foot . 2. Multiply the area found in square meter by 10.76 to get the equivalent in square foot. ( Wood tiles is sold in square foot not In square meter.) 3. Multiply the floor area by . 165 to get the number of wood glue in gallons per square meter . ILLUSTRATION 7-9 An office room measuring 8.00 m. wide x 12.00 meters long specify wood tiles flooring. List down the materials required. SOLUTION 1. Find the area of the floor A = 8.00 x 12.00 A = 96 sq. m. 2. Convert to feet ( wood tiles are purchased in sq. ft. ) 96 x 10.76 = 1 ,033 sq. ft. 3. Add 5% allowance for cutting and edging = say 50 sq. ft. 4 . Order : 1, 033 + 50 = 1 , 083 sq . ft . wood tiles. 5 . Determine the white wood glue in gallons: 264 ( Take note that 1- sq. m. floor area consumes . 165 gallons of white wood glue. ) 96 sq. m x . 165 * 15.84 say 16 gallons. 7-7 PEBBLES AND WASHOUT FINISHES Pebbles are small roundish stone used for wails and floor finishes called washout and pebbles respectively . The pebble stone is mixed with pure cement to a proportion of either 1:2 or 1:3 mortar mixture then applied to a well prepared wall or flooring slab. With the use of water sprinkler , the pebble mortar applied on the wall or floor slab is then washed with water to a desired texture before the concrete finally set . Twenty four hours later , the pebble surface is then scrubed with steel brush and muriatic acid to obtain the desired natural stone finishes. ILLUSTRATION 7-10 A wall roughly plastered has a general dimensions of 2 meters high and 10 meters wide requires stone pebble washout finish. Prepare the bill of materials. SOLUTION 1. Solve for the wall area 2.00 m. x 10.00 m. = 20 sq. m. 2. Determine the thickness of the stone pebbles say 12 mm or .012 meter 265 3. Multiply by the wall area 20 x .012 = .24 cu. m. 4. Referring to Table 2-1, using Class "A" mixture: Multiply: .24 x 18 = 4.32 say 5 bags cement .24 x 1.0 e .24 cu. m. Stone pebble. SOLUTION -2 1. Solve for the wall area « 20 sq. m. 2. For Class A mixture multiply by For Class B mixture multiply by For Sand or Pebbles " .216 .144 .012 3. Using the above data, multiply: 20 sq. m. x .216 * 4.32 say 5 bags 20 sq. m. x .012 * .24 cu. m. stone pebbles. 266 CHAPTER HARDWARE 8- 1 BOLTS Bolt ts a pin or rod with a head at one end threaded at the other end to receive a nut. The different kinds of bolts used in building construction are: 1. Machine Bolt - Has a head at one end and a short thread at the other end. 2. Countersunk Bolt countersunk hole. - Has a beveled head fitting into a 3. Key Head Bolt - Has a head shaped end fitted to a groove that will not turn when the nut is screwed into the other end. 4. Stud Bolt - A headless bolt threaded at both ends. Size and Length of Bolts 267 The length of bolt is the sum of the thickness of both pieces being connected plus 12 mm.. With respect to the size or diameter of bolt , depends upon the thickness of the object to be bolted. a) Lumber up to 5 cm. thick , use . . 6 mm (1/4") diameter. b) 7.5 cm. (3") thick lumber use . . 10 mm (3/8") diameter. c) 10 cm. (4”) thick lumber use . . 12 mm (1/2") diameter. d) Drill hole is 1.5 mm (1/16") larger than bolt diameter unless snug fit is necessary. e) Use washers under head and nut of machine bolt. f ) For carriage bolt use washer under nut only . g) Use toggle bolt for attaching fixture to plaster wall. h) Use expansion bolt for fastening to masonry. i ) For outdoor exposure, use brass or cadmium plated finish. TABLE 8- 1 U.S. STANDARD THREAD OF BOLTS Length In. 1/2 12 5/8 16 10.0 1.44 1 69 2.45 2.85 3.24 364 4.03 4.43 12.5 15.0 17.5 20.0 225 25.0 27 5 30.0 32.5 35.0 1.94 2.19 2.45 270 2.95 3.20 3.46 3.71 3.96 482 522 5.61 6.01 640 D i a m e t e r of B o l t s 3/4 7/8 1 20 25 22 1 1/8 28 1 1/4 31 3.64 4.21 9.76 11.06 12.60 14 18 15 76 17.35 4.78 5.35 5.92 6.49 7 06 7.63 8.20 8.77 9.34 524 6.01 678 7.55 832 9.09 9.86 10,63 1140 12.17 1294 268 7.23 824 9.26 10.27 11.29 12.30 1331 14.33 15.34 1636 17.37 12.33 13.61 14.89 16.17 17.44 18.72 20.00 21 27 22.55 18.93 20.51 22.09 23.67 25.26 26.84 28 42 Machine Bolts FIGURE 8- J Bevel Head Countersunk Head Turned Oval Head Bastard Head Carriage Bolts FIGURE 8-2 Nut End j Body Stud Bolt FIGURE 8-3 263 Attachment Head ffillHmPjJ Railroad Track Boft ^ safi Welded Eye Bolt Step Bolt Plain and Shouldered Forged Eye Bolt Expansion Bolt Various Types of Bolt FIGURE 8- 4 270 Estimating Procedure in Determining Length of the Bolt Post I" E* W.l. Post Strap Bolts E Footing 5 i / 1 ii s> FIGURE 8-5 WOODEN POST ANCHORED BY POST STRAP The Length of the Bolt is equal to the width of the post plus the two thickness of the post strap plus 20 mm allowance for the thread and nut. L = w + 13 mm + 20 mm. Beam Bolt Washer 20 mm dap - FIGURE 8 6 POST AND SINGLE BEAM The Length of Bolt is equal to the width of the post plus the thickness of the beam . L =w+t 271 TABLE 8- 2 WEIGHT OF BOLTS WITH SQUARE HEADS AND HEXAGONAL NUTS PER 10 BOLTS 1/4 5 / 16 3/8 9 6 of Bolts 7 No of Thread 20 18 16 per Inch 5 8 Diameter of 6 13 5 1 Top Drill 4 64 16 Diameter 7/16 1/2 10 12 13 14 9/16 5/8 14 16 11 9 11 23 27 64 64 12 15 64 12 13 17 32 3/4 7/8 1 19 22 25 9 9 10 18 32 64 19 3 4 22 55 64 Beam 20 mm dap FIGURE 8-7 POST WITH TWO BEAMS OFTHE SAME THICKNESS Length of the Bolt is equal to the width of the post plus 2 thickness of the beam minus 20 mm dap. ( There are two dap opposite the column sides but only one is subtracted because the other 20 mm dap is reserved for the thread that will receive the nut . ) L = w + 21 - 20 mm 272 Beam Bolt Bolt Washers 20 mm dap FIGURE 8-8 POST AND TWO BEAMS OF DIFFERENT THICKNESS Length of bolt is equal to the width of the post plus ti + t2 minus 20 mm. £ IT T II JSr- 4r ~ TT 5 cm. 5 cm. S cm. [I liTSf Wood Block Machine Bolts FIGURE 8-9 BOLTS ON TRUSSES Length of bolt is equal to the thickness of the membei s in layer plus 20 mm. 3 x 50 mm + 20 mm = 170 mm. or 17 cm 273 Example: 3 x 50 mm = 150 mm + 20 mm = 170 mm. Size of Host cm 10 X 10 13 x 13 15 x 15 18 x 18 20 X 20 23 x 23 25 x 25 28 x 28 TABLE 8-3 POST ROUGH HARDWARE No. Bolt W.!. Post W. l. Splice Strap (mm) Strap (mm) No. Bolt 6 x 45 x 600 2 12 6 x 37 x 600 4 12 6 x 50 x 600 2 16 6 x 50 x 600 4 16 6 X 62 x 600 2 20 6 x 62 x 900 4 20 8-2 SCREW In carpentry work, screw is sometimes used instead of nails due to the following advantages: 1. Greater holding power 2. Neat in appearance 3. Less chance of injuring the materials 4 . Ease of removal in case of repair How to Choose Screw 1. Select one that is long enough wherein one half to two thirds 274 of its length will enter the base in which threads are embedded. 2 , The length of the screw should be 1/ 8" or 3mm less than the combined thickness of the boards being joined. 3. Use fine thread screw for hard wood and coarse for soft wood . How to Use the Screw 1. Always drill lead hole for the screw . 2. Hole in top board should be slightly larger than the shank, in second board slightly smaller than the threaded portion. 3. In soft wood , bore to depth half the length of the thread. 4 . In hard wood, bore nearly as deep as the length of the screw . 5 . For lag screw , drill hole two-thirds its length then drive in with hammer , and finally tighten with wrench. How to buy screw 1 . Screws are classified by gauge (thickness) and length.Each gauge has a variety of different lengths which maybe obtained up to 12 cm. (5 inches) 2. When ordering screw , specify head shape (e.g., round head) , finish (brass) , gauge (number 5) and length (2" to 5 cm.). 3. Square-headed lag screws come in diameters of 6 mm. to 25 mm (1/4 to 1inch) with its length from 4 cm. to 30 cm. (1 1/2" to 12 inches.) 275 Wood Screw - Is a screw nail with handed coarse thread to give a grip. Materials Used 1. Iron 2. Steel 5 . Bronze 6 . Aluminum 3. Brass 4. Copper Shape of the Head 1. Flat 2. Round 3. Fillister 4. Oval 5. Winged 6 . Bung 7. Punched 8. Headless 9. Slotted (wood screw) 10. Square (lag screw) 11 . Hexagonal 12. Clove 13. Grooved Shape of the Point 1.Standard 2. Full length 3. Coarse Duty 1. Wood (light duty) 2. Lag (heavy duty) Finish 1. Bright 2. Blued 3. Nickel Plated 4 . Silver Plated 5. Brass 6 Bronzed 7. Coppered 8. Japanned 9. Lacquered 10 . Galvanized 276 TABLE 8- 4 STANDARD WOOD SCREW AND NUMBER PER KILOGRAMS 5 5 Inches 1/2 1 1 1/2 2 21/2 3 31/2 4 mm 12 25 37 50 62 75 87 100 112 125 150 4 1/2 Number 6,211 3,443 2 , 329 1, 779 1 , 414 1 , 166 1 ,126 910 739 655 515 Ordinary Lag S crew Coach Lag Screw Effective Length of Screw Standard Wood Screw Point FIGURE 8- 10 277 Round Head Flat Head Counter Sunk Fillister Head Oval Head Felloe Closed Head Hexagonal Round Bung Head CO Headless Grooved Oowel Pinched Head Winged Square Bung Head Winged Winged Head Various Types of Wood Screw FIGURE 8-11 278 The Three Shapes of Screw Point are: 1 . Gimlet point - used on wood and coach screws. 2 Diamond point - is used when more driving is done before turning as in drive and tag screw. 3. Conical point - same as diamond point. Cone Gimlet Types of Wood Screw as to the Point FIGURE 3- 11 8- 3 NAILS The first handmade nails were used in the United States which lasted up' to the end of the Colonial Period. In France, light nails for carpenters were made by hand and hammer out of steel wire as early as the days of Napoleon 1. In the United States, the wire nail was first introduced by William Herser of New York in 1851. Twenty five years later in 1876, Father Goebel introduced the manufacture of wire nails and at the last part of the 18th century, twenty three patents for nail making machine were approved in the United States which was later introduced in England. Kinds of Nail as to : 279 1. Cross-Sectional Shape a) Cut (rectangular) b) Wire (circular) 2. Size a) Tacks b) Sprigs c) Brads d) Nails 3. Materials a) Steel b) Brass 4. Finish a) Plain b) Coated e) Spike c) Copper c) Galvanized d) Blued 5. Service c) Finishing d) Roofing a) Common b) Flooring e) Boat , etc. Types of Nail Points UF ¥ FT Blunt Chisel Point Diamond Front Side Sheared Bevel FIGURE 8-12 280 Long Diamond Needle Cut Nail I -c i I 1 1 J - i i Ci ==9 =4 2d 3d 4d =4 5d -“4 7 isfl 31 6d I d t i \ .iL =3 * j l I 8d j 9d 10d 12d I 16d * > 31/2" i i < i 1 1/2" 2 1/2" 3" * 2" M 1 Length of Nails { Actual Size ) FIGURE 8- 13 2d to 20d For Cabinetwork Furnitures Common Nail Box Casing Finishing Nail 3/ 16" to 3" For Light Work Mouldings . Wire Brad 2d to 20d Flooring Construction . 6" to 12" For Heavy Construction . . Cut Spike 2d to 60d For General Construction 2d to 40d For Light Construction Household Use. 2d to 40d For Interior Trim 281 8 2d to 60d . . . .Common Nail ' luiii 8 6 * 2d to 40d. . . Box 2d to 40d. . .. Casing 2d to 20d. . . Finishing Nail & c* 3/16" to 3" . Wire Brad* > 8^1 2d to 20d . . Cut itfrr 6" to 12“ . . Spike Types of Nails and Their Uses - FIGURE 8 14 Kil Flat Common Large Flat I Large Flat Reinforced Oval Wire Spike 3 Round Countersunk Round Countersunk Offset W Hook £1 Ud Non Leak Cone Curved Cut Nail Types of Nail Heads - FIGURE 8 15 282 Brad Diamond Barge Spike A) Tacks Are small, sharp pointed nails with tapering sides and a thin flat head. Tacks are nails chiefly used in fastening carpets and flashing of any thin materials. Tacks - FIGURE 8 16 - TABLE 8 5 NUMBER OF WIRE TACKS PER KILOGRAM Inches Length ( mm) Number per Kilogram 1 /8 3/16 1/4 5/16 3/8 3 35,200 23, 465 17,600 14,080 11, 732 8,800 5,865 4,400 10, 120 7/16 9/16 5/8 11/16 3/4 13/16 5 6 8 10 12 14 7/8 15/16 16 17 19 20.5 22 24 1 1 1/16 1 1/8 25 27 28 2.930 2, 514 1, 200 1, 953 1, 760 1,599 1, 465 • 283 B) Sprigs Are small headless nails sometimes called barbed dowel pins. The regular size of sprigs ranges from 12 mm. to 5.0 cm. gauge No. 8 wire or 4 mm. diameter. C ) Brads Are small slender nails with small deep heads. The common variety is made in sizes from 2.5 cm. (2d) to 15 cm. (6d) in length while the flooring brads- from 5 cm. to 10 cm. length. TABLE 8-6 FLOOR BRADS TECHNICAL DATA Size Length Gauge No. 6d 50 11 7d 32 37 11 10 44 10 75 81 87 9 6 7 100 6 8d 9d 10d 12d 16d 20d Gauge No . No. of Nails per kg. 12 12 11 14.500 12.500 173 131 95 11 10 76 57 8 7,800 5, 900 4 , 300 3,450 2,600 Dia. Head Approx. Gauge No. / kg. 6 6 5 5 4 3 2 1 322 277 200 9 7 9.000 D) Nails Is a popular name for all kinds of nail except those extreme sizes such as Tacks and Spikes. The most generally used are called Common Nails of sizes from 2.5 cm. to 15 cm. 284 TABLE 8-7 COMMON WIRE NAILS TECHNICAL DATA Size 2d 3d 4d 5d 6d 7d 8d 9d 10d 12d 16d 20d 40d 50d 60d Approximate Number Length Gauge No. Inches mm 15 1 1/4 25 14 12.5 12.5 11.5 11.5 10.25 1 1/ 2 31 1 1/2 37 44 50 56 63 10.25 9 2 3 /4 3 3 1/4 3 1 /2 4 1 3/4 2 21/4 2 1/2 9 8 6 4 3 5 5 1/ 2 6 2 69 75 Per Kilogram Per Keg 1 , 831 1 , 177 666 580 382 344 208 188 138 124 81 100 112 125 93 58 45 34 150 20 88 82,400 53, 000 30 , 000 26 , 100 17,200 15, 500 9,400 8, 500 6 , 250 5 ,600 4 , 200 2, 625 2,040 1,540 910 Rat Head Diamone Point 4 ^ —tTritimwajftgfrCD i Oval Head Chisel Point FIGURE 8-17 E) Spikes An ordinary spike is a stout piece of metal from 7.5 cm. to 30 cm. in length, much thicker in proportion than a common nail. 285 Spike is much used in attaching railroad rails, construction of docks, piers and other work that uses large timber. There are Two Kinds of Spikes, namely: a) Flat Head, diamond point b) Oval Head, chisel point F) Boat Spikes Are small kind of nail driven mostly in hard timber with a clear cut sharp chisel point. TABLE 8-8 COMMON BRADS TECHNICAL DATA Size Length Inches 2d 3d 1 1 1/4 4d 1 1/2 5(t 1 3/4 6d 2 21/4 2 1/2 2 3/4 7d 8d 9d 10d 12d 16d 20d 30d 40d 50d 3 33/4 3 1/2 4 4 1 /2 5 5 1 /2 Approximate Number Per Kilogram Per Keg 25 31 37 44 50 56 63 69 75 81 88 100 112 125 137 1, 904 1,206 662 566 397 29,600 25,500 17,900 340 15.300 224 197 146 137 108 68 53 10,100 40 28 286 85,700 54.300 8.900 6,600 6,200 4.900 3,100 2,400 1,800 1 , 300 TABLE H-') ORDINARY SPIKES TECHNICAL DATA Size Length Inches 10d 12d 16d 20d 30d 40d 50d 60d 175 mm 3 3 1/4 3 1/2 4 4 1 /2 5 5 1/2 6 200 mm 225 mm 250 mm 7 8 9 10 300 mm 12 Approx . No. per Kilogram 75 90 81 88 83 100 112 50 37 125 137 150 175 28 200 225 9 8 250 300 7 66 22 19 15 6 Other Important Facts and Uses of Nails 1. Use a nail that is three times as long as the thickness of the board 2. Nails with sharp point holds better than blunt ones but tend to split wood. 3. Flatten the point with hammer before driving into an easily split wood 4. Use thinner nails for hardwood than for soft wood. 5. For weather resistance, use copper , aluminum or galvanized nails . 6. Zinc or cement coatings increase resistance to withdrawal 7. Barbed nails hold best in green wood. 8. Sizes of nails are indicated by "penny" abbreviated as " d '. Example ; 20 penny nail is known as 20 d nail . 287 - TABLE 8 10 USES AND APPROXIMATE QUANTITY OF NAILS Materials Size Kind of Nails .17 20d CWN 15 . 09 6d 6d Flooring brad Flooring brad sq m sq. m. . 08 6d 06 6d Casing brads Casing brads sq. m. sq. m . 08 8d 8d CWN Unit Per Approx kg. Required Floor joist and bridging at 30 o.c sq. m T & G Flooring 1x 4 1x6 sq. m sq. m. Siding Wood Board on studs at 60 o. c. 1x6 1x 8 Studs: at .40 o. c at .60 o. c. . . 05 CWN 20d CWN 2d Finishing nails 20d CWN and Cleats Meter ht. . 73 of post Per sheet at . 15 o.c on . 055 40 x 60 joist Per sq. m. .20 purlins at 70 o.c. Base Board Meter length 03 6d CWN Fascia Board Ceiling Joist at 40 x 60 o c. Meter length . 048 8d CWN Sq. m .05 8d CWN Scaffolding Plywobd Wall and Ceiling Rafters. Purlins , 288 ILLUSTRATION 8- 1 A wall partition 16.00 meters long by 3.00 meters high specify the use 1" x 8” stone cut wood board on studs spaced at .60 m. o . c. Determine the nails required for the studs and the wood board. SOLUTION A ) Nails for studs 1. Find the area of the wall A = 20.00 x 3.00 m. = 60 sq . m. 2. Referring to Table 8-11 along stud at .60 m. o.c. Multiply: 60 x .05 = 3.0 kilos 8d CW Nail B ) Nails for I " x 8" Wood Board 1. Area = 20 00 x 3.00 m. A - 60 sq. m. 2. Referring to Table 8-11 along 1” x 8 board Multiply: 60 x .06 = 3.6 say 4 kilos 6dCWNail M 289 Cement Coated Nails Measured here Bright Rat Headed Nails Measured Here Concrete Nails FICURE 8* 18 TABLE 8-11 QUANTITY OF CEMENT COATED NAILS PER KILOGRAM Gauge No. of Nails/ Kg. Penny Length 1" 1 1/4 1 1/2" 1 3/4" 2" 2 1/4" 2 1/2" 2 3/4" 3" 3 1/4" 31/2" 4" 4 1/2" 5" 5 1/2" 6" M 2d 3d 4d 5d 6d 7d 8d 9d 10d 12d 16d 20d 30d 40d 50d 60d 15 14 12 1/2 121/2 11 1/2 11 1/2 10 1/4 101/4 9 1863 1195 9 149 103 64 48 37 31 24 8 6 5 4 3 2 290 651 559 367 330 222 202 145 CHAPTER 9 STAIRCASE 9- 1 INTRODUCTION Carpenters who have tried to build stairs have found it to be an art in itself. However, building staircase requires technical of structural carpentry and craftsmanship of cabinet making. It is like constructing an enclined bridge between two points on different floors with uniform, well proportional treads and risers that are safe and comfortable to climb and descend. And to start with the construction and study of estimate, it is important to know and familiarize with the technical terms comprising staircase. . Baluster A small post supporting the handrail or a coping. Balustrade is a series or row of balusters joined by a handrail or a coping as the parapet of a balcony. Bearers - A support for winders wedged into the walls secured by the stringer - Carriage That portion which supports the steps of a wooden stairs. Close String A staircase without open well as in a dog stairs. - 291 Cocktail Stair - Is a term given to a winding staircase. Circular Stair - A staircase with steps winding in a circle or cylinder. Elliptical Stairs - Those elliptical in plan where each tread assembly is converging in an elliptical ring in a plan. Flight of Stairs -Is the series of steps leading from one landing to another. Front String - The string on the side of stairs where handrail is placed. Flyers - Are steps in a flight that are parallel with each other. Geometrical Stairs - Is a flight of a stair supported by the wall at the end of the steps. Half- Space - Is the interval between two flights of steps in staircase. Handrail - A rail running parallel with the inclination of the stairs that holds the balusters. Hollow Newel - An opening in the middle of the staircase as distinguished from solid newel wherein the ends of steps are attached. Housing - The notches in the string board of a stair for the reception of stairs. Knee - Is the convex bend at the back of the handrail. 292 - Landing Is the horizontal floor as resting place in a flight. - Newel The central column where the steps of a circular staircase wind. Nosing riser. - The front edge of the steps that project beyond the Pitch - The angle of inclination of the horizontal of the stairs. Ramp - A slope surface that rises and twists simultaneously Rise -The height of a flight of stairs from landing to landing or the height between successive treads or stairs. - Riser The vertical face of a stair step. - Run The horizontal distance from the first to the last riser of a stair flight. Spandril - The angle formed by a stairway. Staircase- Is the whole set of stairs, the structure containing a flight of a stairs. Stair Suilders Truss - Crossed beams which support the landing of a stair. Stairhead - The initial stair at the top of a flight of stair or staircase. Stair Headroom - The clear vertical height measured from the the nosing of a stair tread to any overhead obstruction. 293 Stairwell - The vertical shaft which contains a staircase. Step - A stair which consists of one tread and one riser. Steps - The assembly consisting of a tread and a riser. String - The part of a flight of stairs which forms its ceiling or soffit. Soffit - The underneath of an arch or molding. String Board - The board next to the wall hole which receives the ends of the steps. Tread ‘ The horizontal part of a step including the nosing. Tread Run - The horizontal distance between two consecutive risers or, on an open riser stair, the horizontal distance between the nosing or the outer edges of successive treads all measured perpendicular to the front edges of the nosing or tread. Tread Length -The dimension of a tread measured perpendicular to the normal tine of travel on a stair. Tread Width - The dimension of a tread plus the projection of the nosing. Wall String - The board placed against the wall to receive the end of the step. Well - The place occupied by the flight of stairs. 294 Well Hole - The opening in the floor at the top of a flight of stairs. Well Staircase - A winding staircase enclosed by walls resembling a well . - Winders Steps not parallel with each other. Wreath - The whole of a helically curved hand rail. Tread Stringer Flight Riser o< rj Right X Nosing * - FIGURE 9 1 9-2 STAIRS -LAYOUT The fundamental procedures in laying out a staircase are enumerated as follows: 295 1. Determine the clear height of the riser in meter. Normally , the standard comfortable rise per step is from 17 to 18 cm. The maximum height of a step riser is up to 20 cm. but is only allowed on special considerations where physical conditions dictate. However , this height is understood to be not comfortable for both ascending and descending 2. Determine the number of steps from the firsttothe next floor by dividing the total height of the rise by the chosen step riser of either 17cm. or 18 cm . 3. Divide the run distance by the effective width of the tread which normally measured as follows : —— - Width of Tread 25 cm. 30 cm. --35 cm. Effective Width .20 cm. - .25 cm. - .30 cm. Angle Post - FIGURE 9 2 296 The effective width of the tread is equals to the width minus the nosing. 4. If the result of step 3 Is less than that of step 2 , adjust the length of the run or the width of the tread to obtain an equal distances and proportional steps. 5. The height of the risers should be equal and uniform from the first to the last step of the stair, hence , there shall be no fractional value in dividing the rise by the riser per step. However , if fractional value could not be avoided in dividing the rise by the riser, adjust the fractional value in equal proportion to the number of risers but in no case shall the riser per step be greater than 19 cm. nor less than 17 cm. otherwise, the stairs will not be considered ideal and comfortable one. Floorline O .183 m Rise , 5 cm Nosing Effective Width of Tread Floorline t - FIGURE 9 3 297 ILLUSTRATION 9-1 From figure 9- 3 determine the number of steps and the height of the riser if the total height of the rise is 2.20 m. using a 30 cm. width of the tread. SOLUTION: 1. The height of the rise is 2.20 meters . Assume a 17 cm. riser. 2. Divide: Rise * No. of risers Riser 2.20 * 12.94 .17 3. The answer has a fractional value of .94. The rule says, "there should be no fractional value in dividing the rise by the riser. Thus, adjust to have an equal height per riser. 4. From the result of step 2, use the whole value of 12 disregarding the decimal amount of .94 . 2.20 = .183 m. or 18.3 cm. 12 5. The 18.3 cm. is now the height of the risers per step instead of 17 cm. as assumed. This value is within the range of 17 and 19 cm. considered as ideal and comfortable stairs. 298 6. Determine the distance of the run using the formula. Run = No. of Steps - 1 x Effective width of the tread. Where: Effective Width = Tread Width - Nosing Nosing is from 2 to 5 cm. Run * 12 - 1 x 25 cm. R = 2.75 meters There are instances however, where the length of the run and the height of the rise are known or given. The question is, how to determine the width of the tread and the height of each risers. ILLUSTRATION 9- 2 Determine the height of the riser and the width of the tread when the rise is 2.65 m. and the run is 2.75 m. SOLUTION: 1. Assume that the riser height is 18 cm. 2. Divide the rise height by the riser 18 cm. 2.65 - 14.72 say 15 steps .18 3. Assuming that there are 15 steps instead of 14.72 determine the final height of the riser. 299 2.65 * 17.7 cm. 15 This value is between 17 to 19 cm. which is acceptable 4. Assume that the tread width is 30 cm. the effective width ofthestepis 30 - 05 nosing * 25 cm. 5 . If there are 15 steps, multiply by the effective width of the tread . Run = No . of steps - 1 x . 25 (see figure 9-4) Run = (15 - 1) x 25 = 350 cm. or 3.50 m. Note: The 3.50 meters is longer than the 2.75 m . distance of the run as specified in the problem , therefore , adjustment of the tread width is necessary, thus: a . From step 4 let us assume that the tread width is 25 cm. not 30 cm. b. The effective width is = 25 cm. minus 5 cm. nosing = 20 cm. c . Check distance by trial multiplication: No. of steps x effective width = Run 14 x .20 = 2.80 m. This value is acceptable since the existing distance of the run is 2.75 meters with a difference of 5 centimeters which could be adjusted in the construction. 300 Well Hole Floor Ceiling E Run of Step a Stringer a: Tread Nosing Rise per Step Riser J1 Floor Line Run Cross Section and Different Parts of stairs FIGURE 9-4 9-3 STRINGER Stringer is the inclined plane that supports or holds the tread and the riser of a stair. The length of the stringer is determined by 301 either the use of the Pythagorean Formula or by actual measurement using a meter rule or tape. The steel square is a useful and effective tool in staircase framing. Know its functions and a satisfactory result will be obtained. There are several forms of stringer classified according to the methods of attaching the risers and the tread, they are: 1. Cut type 2. Cleated type 3. Built-up 4 . Rabbeted ( Housed ) Cut type stringers - are popularly used in most modem and contemporary house designs. Cleated type stringer - is used for very rough work. Built-up type stringer - is adopted on a wide stairs that requires a center stringer. L Stringer / Tread 7 Cut Type Cleated Built-Up FIGURE 9-5 302 Rabbeted 4 - Rabbeted type stringer is adopted on a fine work and usually made at the mill. The risers and treads are held in the rabbets by wedges that are set in with glue. - ILLUSTRATION 9 3 Determine the length of an open wood stringer with the following data: Run distance * 3.50 m . Height of the Rise * 2.50 m. Floor Line 1 E 8 ci o ' X i<r Floor Lino Run * 3.50 m. - FIGURE 9 6 303 SOLUTION: 1 . Using the Formula: / SL = /(3.50) 2 + (2.50) 2 Stringer length = (Run ) 2 + (Rise) 2 SL = 7 (12.25 + 6.25 / SL * 1830 SL = 4.30 2. Convert to feet; 4.30 m. = 14.33 ft . .30 3. Determine the number of steps: Assuming 18 cm. riser height. Divide: Riser - 2.50 * 13-.88 say 14 steps .18 Riser This problem can be solved by referring to Table 9- 1. See the value of 4.31 m. along the 14 steps; 3.50 m . length of run below the 30 cm. tread and the 2.52 m. rise below the 18 cm . riser column. 304 TABLE 9-1 HEIGHT OF RISE, LENGTH OF STRINGER AND RUN OF STAIRWAY (in . Meters ) No.of Steps Length of Stringer Tread Width 30 cm. 25 cm. 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1, 05 1.23 .80 l 1,00 1.31 1.54 1.00 1.25 1.57 1.84 2.10 1.85 2.16 2.47 2.78 3.08 3.39 3.70 4.00 4.31 4.62 1.20 1.40 1.60 1.80 1.50 1.75 4.93 5.24 5.55 5.85 3.20 3.40 6.16 4.00 2.36 2.62 289 3.15 3.41 3.67 3.94 4.20 4.46 4.73 5.00 5.62 Length of Run Tread Width 25 cm. , 30 cm. 2.00 2.20 2.40 2.60 2.80 3.00 3.60 3.80 68 .85 .72 1.02 1.08 1.19 1.36 1.26 1.44 2.25 2.50 2.75 1.53 1.70 1.62 1.87 1.80 1.98 3.00 3.25 3.50 2.04 2.21 2.16 2.34 2.38 2.52 3.75 4.00 4.25 4.50 475 5.00 2.55 2.72 2.70 2.89 3.06 3.24 2.00 Stairs Inclination Angie Ladder Ramp Stairs Ideal Stairs - 50° to 90° - 1° to 20° - 20° to 50° - 30° to 35° 305 Height of Rise Riser Height at 18 cm. 17 cm. . 3.06 3.23 3.40 .90 2.88 3.42 3.60 - TABLE 9 2 SPIRAL STAIRS Open Riser Treads No. of T read Tread Degrees in Circle 22° - 30‘ 28° - 0* 30° 0* Cantilever Treads Riser Head Room Meter cm. 16 17.5 18.0 12 - 13 12 13 - - 2.10 2.00 2.00 20.0 M Elevation Cantilever Treads 5 ( Step m% J % Plan ¥ EE Elevation Open Riser Treads - FIGURE 9 7 306 30° The National Building Code on Stairs provides that: 1. The minimum width of any stair slab and the minimum diameter -dimension of any landing should be at least 110 centimeters. 2. The maximum rise of stairs step should be between 17 and 19 centimeters. A rse less than 16 cm. nor more than 19 cm. is not considered as ideal stair. 3. The minimum width of a tread exclusive of the nosing shall be 25 centimeters. 4 The maximum height of a straight flight between landing is generally 3.60 meters except those serving as exit from places of assembly where a maximum height of 2.40 meters is normally specified. 5. The number of stairway in a building depends upon the number of probable occupants per floor, the width of stairway and the building floor area. The distance from any point in an open floor area to the nearest stairway shall not exceed 30 meters and that the corresponding distance along corridors in a particular area shall not exceed 38 meters. 6. The combined width of all the stairway in any floor shall accommodate at one time the total number of persons occupying the largest floor area under the condition that one person for each .33 sq. m. floor area on the landing and halls within the stairway enclosure. 307 7. In building of more than 12 meters high and in ail mercantile buildings regardless of height , the required stairways must be completely enclosed by fireproof partitions and at least one stairway shall continue to the roof. 308 CHAPTER PAINTING 10- 1 PAINT Paint is commonly referred to as a Surface Coating. It is defined as "a coating applied to a surface or subtrate to decorate, to protect, or to perform some other specialized functions." Almost everybody knows the word paint, its uses, color, including the brand which are rated as good, best and durable. There are those who have little knowledge of paint but rated a brand based on how it is advertised. Others on the cost of the paint. Generally, a good quality paint is costlier than that of a poor one. However, in terms of surface area coverage, ease of work and durability, a good quality paint is cheaper than a poor one, thus, never have a second thought of having the best from a reputable brand, otherwise to think of saving a few cents for your paint might turn out later to be more expensive. Obtaining good quality paint from a reputable brand however, is not a guarantee that you have a long lasting paint There are numerous kinds of paint as there are different kinds of surface to . 309 be painted. Applying a premium quality paint to a surface not suitable for such type of paint is considered a technical failure which cannot be guaranteed by the cost neither the brand of the paint. It is therefore imperative to know which kind of paint for what kind of surface to be applied 10-2 INGREDIENTS OF PAINT The ingredients of paint are: 1. Vehicle 2. Solvent 3. Pigments 4. Additives Vehicle - is that substance in the paint which gives a film continuity and provides adhesion to the surface or subtrate. It is called vehicle because it carries the ingredients to the subtrate which will remain on the surface after the paint dries. The vehicle contains the film former which is the combination of the following: a) Resins b) Plasticisers c) Drying oil, etc. The Vehicle is divided into the following: 1. Solid Thermoplastic Film Formers - The solid resin is melted for application and then solidifies after application. 310 - 2. Lacquer Type Film Formers The vehicle dries by solvent evaporation. 3. Room Temperature Catalyzed Film Formers - Chemical agents blended into the coating before application cause cross-linking into a solid polymer at room temperature. 4. Oxidizing Film Formers - Oxygen from the air enters the film and cross links it to form a solid gel. 5. Heat-Cured Film Formers - Heat causes cross-linking of the film former or activates a catalyst that is not active until heat has been applied. - 6. Emulsion-Type Film Formers The solvent evaporation and the droplets of plastic film former floating in it flows together to form a film. Solvents - are low viscosity volatile liquid used in coating to improve application properties. - Pigment Paint pigments are solid grains or particles of uniform and controlled sizes which are generally insoluble in the vehicle of the coating. The paint pigment contributes to the following properties a) For tfie decoration of function - it contributes opacity, color and gloss control. - b) For the protective function it contributes specific properties such as hardness, resistance to corrosion, and rapid weathering, abrasion, and improved adhesion. 311 c) It makes sanding easier , retard flame and serves as insulation against electricity. d) Pigments serve to fill spaces in paint films. Additives - are ingredients formulated in the paint to modify the properties of either the vehicle or the pigmentation or both. They give the wet paint or dried paint film properties not present in the vehicle and pigmentation system. Additives improve a certain properties of vehicle such as speed drying, pigment resistance to fading or the entire paint such as the ease of application. 10-3 ESSENTIAL AND SPECIFIC PROPERTIES OF A GOOD QUALITY PAINT A good quality paint must have the following essential and specific properties. 1. Adhesion - coating must stick to the surface or subtrate to bring other properties into work. 2. Ease of Application - paint must be easy to apply as utilized by the user or through the method prescribed by the manufacturer. The paint must go into the subtrate in the specified film thickness. It should be dried in the specified time with the desired appearance and possessing the necessary specific properties. 3. Film Integrity - the cured or dried film of paint must have ail the film properties as claimed by the manufacturer. There should be no weak spots in the film caused by imperfect film drying or curing . 312 4. Consistent quality - paints must be consistent in quality such as color, viscosity , application properties and durability from can to can, batch by batch, shipment to shipment. 5. Specific Properties - The paint should be considered for the particular use, such as : a) Kitchen Enamel - must resist grease; heat and repeated cleaning. b) Stucco or f- atex Paint - must resist water, alkali and sunlight and must permit passagt' of water vapor. c) Swimming Pool Paints - must have a specific chlorine, water and sunlight. d) Exterior Commercial Aircraft Finishes must resist ultra violet degradation, erosion by air toss of adhesion at high speed, rapid change of temperature, chemical attack by the hydraulic fluids of the aircraft, and film rupture from the flexing of the film by the denting of the surface. 10 4 THE ELEMENTS OF A GOOD PAINTING JOB Painting is the final touch in the construction work. It is where all the construction defects, ugliness and roughness from masonry , carpentry, tinsmithing etc . are corrected, smoothened and beautified. The Elements of a Good Painting Job are : 1. Correct Surface Preparation: The primary and essential 313 prpperty necessary for of paint is Adhesion. Good adhesion demands proper surface preparation. 2. Choice of the Proper Paint System . Apply the right kind of paint on the right surface. For instance, water base paint for masonry and concrete, oil base paint for wood and equivalent surface etc 3. Good Application with the right technique and tools. a) Uniform wet and dry film thickness. b) Correct number of sequence of application. Verify manufacturers specification. c) The right tools and their use 4. Correct Drying Cycle - The final properties of the dried coating develops during the drying cycle Unless conditions are favorable, correct film properties will never develop. . 5. Protection Against Water. The primary cause of paint failure is Moisture which is considered a menace to the best of paint jobs. It is very frustrating to see your lovely and newly painted house deteriorating so soon specially if you bought good paint, used good tools and spend a lot for its labor. Water is the hidden enemy of paint. It is a pervasive element of deterioration and it causes the following: a) Rusting and other corrosion b) Paint peeling c) Masonry efflorescence and spalling d) Wood rot e) Corrosive water solution (staining sea water) 314 10-5 SPECIFICATIONS FOR SURFACE PREPARATION The quickest way to achieve paint failure is through improper surface preparation. It is just as important to qualify a surface preparation as it is to specify a painting system. The following specifications give a general overview of surface preparation, thus: SPECIFICATIONS A* GENERAL Surface Examination - No exterior painting or interior finishing shall be done under conditions which may jeopardize the quality or appearance of the painting or finishing. Preparation. Ail surfaces shall be in proper condition to receive the finish. Woodwork shall be sandpapered and dusted clean. All knotholes, pitch pockets, or sappy portions shall be shellacked or sealed with knot-sealer. Nail holes, cracks, or defects shall be carefully puttied after the first coat with putty matching the color of the stain or paint. Interior woodwork. Finishes shall be sandpapered between coats. Cracks, holes, or imperfections irt plaster shall be filled with patching plaster and smoothed off to match adjoining surfaces. Plaster or masonry. Plaster or masonry shall be dry before any sealer or paint is applied. After the primer-sealer coat is dry, all visible suction spots shall be toughed up before succeeding 315 coats are applied. Work is not to proceed until all spots have been sealed. In the presence of high alkali conditions, surfaces should be washed to neutralize the alkali. Metals . Metals shall be clean, dry and free from mill scale and rust. Remove all grease and oil from the surfaces. Unprimed galvanized metal shall be washed with metal etching solution and allowed to dry. Concrete and brick surfaces. These surfaces shall be wire-brushed clean. Surfaces which are glazed or have traces of patching compound shall be sandblasted or acid etched. B. Cleaning Methods Sandblasting. There are three general methods applied: . 1. Conventional dry sandblasting The sand is not recycled However, dust respirators and other safety precautions should be observed since environmental restrictions on dry blasting are becoming increasingly severe. 2 . Vacuum sandblasting . This method reduces health hazards since the sand is recovered. However, It is costlier and less efficient than dry blasting, but its efficiency can be increased by holding the vacuum cone at a slight distance from the surface. The vacuum method is useful inside shops and in areas where dust might damage machineries. 3. Wet sandblasting. This method reduces the dust hazard and may be required by legal restrictions . The wet sand and paint residues however, accumulate on ledges and other flat areas, thus, rinsing operation is necessary. 316 Wire-brushing and scraping. Power and hand wire-brushing are used mainly on small jobs, in cleaning small areas after sandblasting, and on surfaces for which sandblasting is not feasible. Hand scraping is used on small areas, in places where access is difficult, and for final clean-up after other methods have been employed . Power toots Power tools such as rotary wire and disc tools, rotary impact chippers , and needle sealers maybe used if sandblasting is not feasible . Water blasting Water blasting is an effective method in cleaning and removing old paint from large masonry surfaces. It is generally used and acceptable for health and environmental requirements. Water blasting method is preferred for underwater or marine work. . C Chemical methods . 1 Acid-etching. Is the use of an acid solution, with or without a detergent , to roughen a dense glazed surfaces. Rinse thoroughly the acid-etched surfaces to remove the residual soluble reaction of calcium and magnesium chloride which affect the adhesion and stability of latex paints in particular. . 2. Paint removers Both the conventional solvent-based and the water rinsable types of paint removers maybe used to remove old paint. Most paint removers contain wax. This wax must be removed completely before painting because it destroys adhesion and inhibits the drying of paint. 3. Steam cleaning . Steam cleaning with or without detergents is frequently used in food-packing plants. A 317 mildewcide is usually added. Low-pressure steam cleaners are use on homes and offices walls. 4. Alkali cleaning. Alkali cleaners should not be used on masonry surfaces adjacent to aluminum, stainless steel or galvanized metal. Surfaces which are cleaned with alkali cleaners shall be thoroughly rinse and clean with water. Residual alkali and detergents can cause greater damage to paint if they are not removed completely . 10-6 KINDS OF PAINT, USES AND AREA COVERAGE Kind of Paint Uses Thinning Drying Time Coverage per 4 Its. PRIMERS* 1. Interior Primer and Sealer For interior wood surfaces Paint Thinner 2 hours, allow overnight before 25 to 30 sq. m. recoating 2. Exterior wood primer For exterior wood surfaces Paint Thinner 6 hours, allow overnightbefore 30 to 40 sq. m. recoating 3. Prepakote Red Oxide Primer Primer for ferrous Paint and non-ferrous Thinner materials 4. Zinc Chromate Primer For exterior and interior metal surfaces exposed to normal indus Paint Thinner - trial environment 318 3 hours 35 to 40 sq. m. 3 hours 30 to 40 sq. m. 5. Red Lead Primer Rust preventive primer for ferrous Paint Thinner 3 hours 30 to 40 sq. m. 6 hours, allow overnight before recoating 30 to 40 sq. m. surfaces For steel, aluminum, galvanized iron 6. Epoxy Primer Epoxy Reducer * WATER BASE MASONRY PAINT * 1. Acrylic Latex Paint Exterior & Interior 1/2 Its7 masonry surfaces 4 Its . water 30 minutes. Allow 6 hrs. before recoat 30 to 40 sq. m. 2. Acrylic-SemiGloss Latex Exterior & interior masonry surfaces water 30 minutes. Allow 6 hrs. before recoat 30 to 40 sq. m. 3. Acrylic Gloss Latex paint Exterior & Interior masonry surface water 30 minutes. Allow 6 hrs before recoat 30 to 40 sq. m. 4. Acrylic Clear Gloss Emulsion paint For chalky surface water to improve adhesion of new coats of latex paint 1 hour. Allow 30 to 40 sq. m. 5. Latex Hi-gloss Enamel For furniture, cabi- Usse as is nets, doors, windows, toots, toys wrought iron, and primed metals 1 hour. Allow 4 hours before 30 tO 40 sq. m. Primer to old and 30 min. Allow 6. Acrylic water 319 . recoating 30 to 40 concrete sealer 7. Masonry - 6 hrs. before recoating new concrete, ex terior & interior Primer for old surface conditions chalky paint film 8. Tinting Colors Acrylic colors Use as is sq. m. 24 hours. Allow 30 to 40 sq. m. overnight before recoating water * ROOF PAINT * 1. All weather acrylic root shield 2. Portland cement paint 3. Davies Roof paint For gafvanized iron sheet, as bestos bricks concrete and stucco For G.i. sheet CHB , stucco, concrete, brick and other zinc coated metal surface - G.I. roofs and other metal such as aluminum and steel water 4 hours. Allow overnight before 40 to 50 sq. m. recoating Paint Thinner 6 hours. Allow overnight before 30 to 40 sq. m. recoating Paint Thinner 6 hours. Allow overnight before 30 to 40 sq. m. recoating * ENAMEL AND GLOSS PAINT * 1. Quick Drying Enamel For Exterior & Interior wood and metal surf. Paint Thinner 5 hours. Allow 8 hrs. before recoating 320 30 to 40 sq. m. 2. Interior semi- Gloss Enamel 3. Flat Wall Enamel Interior wood and metal surfaces Paint Thinner 6 hours. Allow overnight before recoating 25 to 30 sq. m. For Interior wall & ceilings Paint Thinner 3 hours. Allow overnight before 40 to 50 sq. m. recoating 4. Exterior Gloss paint . For ext wood and properly primed metal surfaces. 6 hours. Allow 48 hrs. before recoating 30 to 35 sq. m. Use as is 10 minutes 30 minutes for dry hard 20 to 25 sq. m. Paint. Thinner 12 min. Allow Paint Thinner * VARNISHING * 1. No. 48 Davies For dark wood wood bleach land 2 to be changed to light natural 2. No. 77 Dawes Lax-Tire Plastic wood Dough 3. Wood filler paste 4. Non-Grain raising wood finish & making old wood color uniform For patching up wood defects like knots,nail holes and cracks Sealer for open grain of interior wood For wood sur faces Use as is 25 to 35 overnight before sq. m. recoating - 30 minutes stain 321 30 to 40 sq. m . 5. Oil Woodstain For panelling, cabinets, floors, furnitures, door jambs, and other Allow 24 hours before recoating 30 to 40 sq. m. Overnight 35 to 40 sq. m. 24 hours 40 to 50 sq. m. woodworks 6. Finishing Oil To seal and finish interior wood surf, such as furnitures wood & panelling 7 Valsparor Spar Varnish . For floors, sidings Paint furnitures, deck of Thinner 8. Daxpar Varnish For interior and exterior wood surfaces, nautical & aeronautical varnish. Paint Thinner 24 hours 40 to 50 sq. m. 9. Hi- solid sanding sealer For Interior new wood furnitures and fixture, cabi net, doors, etc Lacquer 10 minutes. Allow 30 min. before recoat 40 to 45 sq m. 10. Hi- Solid clear gloss Lacquer For furnitures, cabinets, fixture door panelling and trim. Lacquer Allow 30 min. before recoat 30 to 40 sq. m. 11. Hi- Solid Semi-gloss For Interior wood furnitures, cabinets, doors shelves etc. Lacquer Allow 30 min. before recoat 30 to 40 sq. m. boats etc. . Lacquer - Thinner Thinner Thinner 322 . 12. Hi-Solid dead flat lacquer 13. Water white gloss lacquer For Interior wood Lacquer furniture, cabinets Thinner door jambs, trim panelling etc. For furnitures, cabinets, doors, panel and interior walls Lacquer Thinner Allow 30 min. before recoat 30 to 40 sq. m. Allow 30 min. before recoat 30 to 40 sq. m. * ENAMEL AND GLOSS PAINT * 1. Quick drying Enamel 2 Interior Semi gloss Enamel For Exterior and Interior wood & metal surfaces Paint Interior wood & metal surfaces Paint Thinner Thinner 5 hours. Allow 8 hrs. before 30 to 40 sq. m . recoating 6 hours. Allow overnight before 25 to 30 sq. m. recoating 3. Flat Wall For Interior walls Enamel and ceiling 4. Exterior gloss Exterior wood Paint and properly primed metal Paint Thinner Paint Thinner surfaces 5. Tinting Colors Oil base Tinting color 323 3 hours. Allow overnight before recoating 6 hours. Allow 48 hrs. before recoating 40 to 50 sq. m . 30 to 35 sq. m. AUTOMOTIVE FINISHING 1. Lacquer Enamel For properly Lacquer Allow 30 min. primed metal Thinner before recoat Lacquer Thinner 30 minutes 40 to 50 sq. m. 40 to 50 sq. m. and wood 2. Automotive Lacquer For Extenor & Interior metal or wood surf. 3. Lacquer Primer Surfacer For metal and wood surface Lacquer 30 minutes 40 to 50 sq m. 4. Lacquer Putty For Exterior and Interior metal & wood surfaces Lacquer Thinner 10 minutes dry to sand in 1 hour 20 to 30 sq. m. Automotive fin. for residential & commercial Paint Thinner 2 hours. Dry hard in 10 hrs. 30 to 40 sq. m, For Exterior and Interior wood & metal surfaces Paint 2 hours. Allow 8 hours before 30 to 40 sq. m. _ 5. PnH ux Auto Enamel 6. Pro-Lux Enamel Primer - 7. Pro Lux Glazing Putty For Exterior and Interior metal & wood surfaces Thinner recoating Use as is 2 hours 25 to 35 sq. m. * INDUSTRIAL PAINTS * 1. Silver fiwsh Aluminum For steel tanks, Ext. & Int. metal wood & masonry Use as is 1 hour. Allow 24 hrs. before recoating 324 40 to 50 sq. m. 2 Heat Resisting For Interior and Exterior surfaces like radiators, boilers, pipes & general Ind equipment. Use as is 1 hour. Allow 24 hrs. before 40 to 50 sq. m. 3 Hi-Heai Re sisting paint For superheated steam lines, boiler casings, drum and rocket launchers Use as is 1 hour at 450° F max. 40 to 50 sq. m 4 Asphalt Base Aluminum For asbestos ce ment composition & metal Use as 1 hour. Allow 24 hrs. before recoating 20 to 30 sq. m. 5. Traffic Paint For Asphalt and masonry surface Use as is 1 hour. Allow 24 hrs. before recoating 20 to 30 sq. m. 6. Blackboard For wood or metal surface Paint Thinner 12 hrs. Allow 35 to 40 overnight before sq. m. Slating is recoating 7 Davies AntiCorrosive Marine paint 8. Marine Bott Topping Paint For hulls and below water line of ships For properly primed surfaces b/w the light & deep load lines of ships Paint Thinner 12 hrs. Allow overnight before recoating 30 to 40 sq. m. Paint Thinner 12 hrs. Allow 24 hrs. before 30 to 40 sq. m. recoating 325 9. Anti-Fouling Paint For properly primed surface below the water line of ships. Paint Thinner 8 hrs. Allow 12 hrs. before recoating 10. Hull, Deck, Mast & Topside Paint For use above the water line of sea Paint 12 hrs. Allow 24 hrs. before Thinner vessels, equip ment and struc ture s near sea. 30 to 40 sq m. i 30 to 40 sq. m. recoating 1 hour. Allow 24 hrs. before recoating 11, Machinery Engine Enamel Marine engine Machineries & equip’t. casing Paint 12. Epoxy Enamel For Steel, alum, galv. iron, wood and concrete Epoxy reducer 30 to 40 6 hrs. Allow overnight before sq. m. recoating 13. Epoxy Glazing putty For body repair aircraft, cars & equipments Epoxy recucer 2 hours 14. Epoxy Glue Multi-purpose thermosetting plastic material for cementing or bonding rigid materials Use as 8 hours full strength in 96 hours Use as thinner exterior house Use as is 15. Pure Pale Boiled Linseed oil Thinner is 30 to 40 sq. m. 30 to 40 sq. m. t i f paint i 16. Concrete Treatment to . i Use as 326 24 hours 30 to 40 Neutralizer neutralize masonry surface is 17. Rust Remover Paint stripper Use as Overnight 25 to 35 sq. m. 18. Paint Remover Paint stripper Use as Overnight 25 to 35 sq. m. 19. Mildewcide Solution Destroy molds mildews on new and previously Water sq . m. painted surfaces •Source: Davies Paint Manual of Information 10-7 ESTIMATING YOUR PAINT Paint manufacturer specifications includes the estimated area coverage per gallon with a net content of 4 liters. Generally, the estimated area coverage is in the range interval of 10. For instance , one gallon of Quick Drying Enamel covers 40 to 50 square meters surface area which simply means a minimum of 40 and a maximum of 50 square meters depending upon the texture of the surface to be painted. The problem therefore is, what amount for which surface texture will be used? To simplify our estimate, surface texture will be classified into three categories such as: a.) Coarse to Rough — 40 sq. m. per gallon b.) Fine to Coarse 45 sq. m. per gallon c.) Smooth to Fine 50 sq. m. per gallon 327 ILLUSTRATION 10 - 1 A concrete fire wafl measures 30 meters long and 12 meters high. Determine the number of gallons ( 4 liters content) required using Acrylic Gloss Latex Paint if the wall is : a.) Wooden trowelled finish ( coarse to rough ) b.) Paper finished ( Fine to coarse ) c.) Fine to Smooth finished SOLUTION A) For Coarse to Rough Surface 1. Solve for the wall area . 30 x 12 = 360 sq. m. 2. Deteimine the quantity of concrete primer. Referring to Sec. 10-4 under Masonry Water Base Paint using Acrylic Concrete Sealer as primer the area coverage per gallon is 30 to 40 sq. m. 3 , For a Coarse to Rough Surface Divide: 360 sq. m. 30 sq . m. = 12 gallons Acrylic concrete primer 4. Solve for the Acrylic Gloss Latex Paint final coating; Divide: 360 sq. m. 30 sq. m. / gal. = 12 gallons 328 5 . Solve for the concrete neutralizer . If one quart of neutralizer is mixed with 21/2 gallons of water Divide: 12 = 4.8 say 5 quarts concrete neutralizer 2.5 B) Solution for Fine to Coarse Surface 1. Solve for the net area of the wall « 360 sq. m. 2. Solve for the Concrete Primer Sealer: ( use 35 sq . m.) Divide: 360 - 10.28 gallons concrete primer sealer 35 3. Solve for Acrylic Gloss Latex Paint. Same as in No. 2 - 10.28 gallons. C) Solution For Fine to Smooth Surface 1. Divide the wall area by 40 sq. m. 360 • 9 gallons as surface primer 40 2. For final coating, the same = 9 gallons. ILLUSTRATION 10-2 A 10 class room elementary school building with a general 329 dimensions of 3.00 x 90.00 meters requires painting of its G.l. roofing and plywood ceiling. The pian specifies two coatings of Acrylic Roof Shield and Quick Drying Enamel paint for the roof and ceiling respectively. Prepare an order list of the following materials a) Roof Paint b) Wood primer for ceiling c) Quick Drying enamel paint d) Paint thinner FIGURE 10- t SOLUTION: A) Roof Faint 1. Find the total roof area: 330 A = 8.0 mx 82.0 m. = 656 sq. m. 2. Refer to Sec. 10-4 ; under roof paint, the area coverage of Acrylic Roof Shield Paint per gallon is 40 to 50 sq. m. Use 45 as average . 656 sq. m. 14.6 gallons 45 3. For two coatings, multiply by 2 = 29.2 say 30 gallons 4. Paint thinner is not required because the base of this paint is water. B ) Enamel Paint for the Ceiling 1. Solve for the total ceiling area including the eaves. A = 8 x 82 m. = 656 2. Solve for the primer paint. See Sec. 10-4 . The area coverage of Exterior wood primer is 30 to 40 sq. m. 3. For a plywood ceiling use average value of 35. Divide: 656 = 18.7 say 19 gallons 35 4 . Solve for the Quick Drying Enamel final coat . Refer to Sec 331 10-4. the area coverage is 30 to 40. Use the average Divide: - 35; 656 = 18.7 say 19 gallons 35 5. Solve for the paint thinner: at an average of 1/2 liter per gallon of paint. Primer 19 gallons Quick Dry Enamel . . 19 gallons , 38 gallons Total Multiply: 38 x .50 (1/2) « 19 liters Summary 30 gallons All weather Acrylic Roof Shield 19 gallons Wood Primer 19 gallons Quick Drying Enamel 19 liters paint thinner Comment 1. Paint thinner of any type is considered as the most abused materials in ail painting job. It is used for cleaning of hands, paint brushes, tools and sometimes as fuel and torches. 2. Frequent washing of paintbrush will consume large amount of paint thinner; thus, sufficient number of paint brush is necessary and that no washing shall be allowed until after completion of the work . 332 3. After the days work, paint brushes should be wrapped with paper then soak into a can with water to avoid cleaning and hardening of the paint. 4. Your paint brush should be protected from damages and shall be thoroughly cleaned immediately if any of the following paint is used: a. Epoxy paint mixed with Catalyst- Clean with Epoxy thinner or Lacquer thinner. b. Water Base Paint- Wash thoroughly with water and soap. c. Lacquer Paint or Varnish- Clean with lacquer thinner 3. Lacquer thinner estimate for varnishing woik should be doubled to anticipate frequent thinning and multiple rubbing purposes including evaporation. 10-8 PAINT FAILURE AND REMEDY The different types of paint failures identified are: 6. Fading 1. Blistering or Peeling 2. Chalking 7. Bleeding 3. Flaking 8. Mildew 4 Cracking and Alligatoring 9 Staining 5. Peeling or Cracking of 10. Checking and Flaking Paint on G.l. Sheets . . Blistering or Peeling - Occurs when the moisture trapped in the wood evaporates when exposed to sun pushes the paint out of the surface. 333 Remedy: 1. Locate and eliminate the sources of moisture. 2. Scrap off old paint around the blistered area. Let dry and apply good primer then final paint of good quality paint Chalking - Means that the paint was too thin for the required paint film. Remedy: Be more generous to your paint. Spend a little for two coatings. Flaking - The result of inadequate or poor surface preparation. The paint flakes off in scales or powders or powders and chalk off. Remedy: Remove the paint on affected area by wire brush. Seal all cracks against moisture, then apply final coat of paint. Cracking and Alligatoring- Results when paint was applied in several heavy coats not observing the sufficient drying time between coats. The primer or undercoat may not be compatible with the final coat. For instance , using a quick drying enamel as final coat over a flat wall paint, or a lacquer paint over an ordinary oil base paint. Remedy: Remove the paint . Clean the surface properly, apply good primer then final coat. Peeling or Cracking of Paint on G.I. Sheet.- Indicates the use of improper metal primer or no primer applied. The paint film has no adhesion on the surface . 334 Remedy : Strip off the paint Clean with solvent Dry, then apply galvanized paint ( see roof paint Sec 10-4) . . - Fading. Fading is a normal behavior of paint But, if fading is too fast and excessive, that means you applied a poor kind of paint . This is what usually happened when for a few cents of difference in cost, the quality is sacrificed. Remedy: Repaint Next time be sure to buy the best of paint brand. Remember that a good kind of paint contains more and better pigment Bleeding - is the result of inadequate sealing of the surface at the first application of paint. Remedy: Scrape off the surface then,- Repaint Mildew - thrives on high humidity and temperature. The fungus are stimulated and grows on the paint film. If covered with new coat of paint, just the same, it will grow through the new coat. Remedy: Wash the surface with mildew wash solution dilluted with water. Scrub the surface. Rinse with clean water and dry for 48 hours then, apply final coat - Staining is an effect of wood preservatives or rust of nails. 335 Remedy: 1. Remove paint on affected area. 2. Remove rust on nails then apply lead primer to metal and wood primer. 3. Apply final coat with good quality paint Checking and Flaking - is caused by expansion or contraction of wood. Remedy: See remedy for Blistering. 10 9 WALLPAPERING The term wall paper refers not only to paper substances that are pasted on walls and ceiling but also includes vinyl, cork, fabrics, grass cloth , foils and many other surface covering materials. Estimating your wall paper requires extra rolls in anticipation of the following: 1. For replacement of ruined or damaged material in the process of working and handling . 2. For additional areas which are not included in the plan or overlooked in actual surface measuring. 3. For future repair which requires the same pattern color , texture and design. 336 4. Trim can be used as a decorative boarder. It is sold by yard or meter Vinyl Wall Paper is classified into three kinds: 1. Vinyl laminated to paper 2. Vinyl laminated to cloth 3. Vinyl impregnated cloth on paper backing. This is extremely durable, easy to clean and resistant to damage. Caution in Buying Vinyl Wall Paper 1 . Examine the label if it is vinyl coated only. This kind is not wear or grease resistant nor washable type . 2. Never confuse them with vinyl wall paper. 3. In buying your vinyl wall paper, always use and specify Vinyl Mildew Resistance Adhesive only. 4. Vinyl wall paper stretches if pulled. Hair line cracks will appear at seams as wall paper shrinks when it dries. Thus, avoid stretching your vinyl wall paper. Foils Foil is another wallpaper simulated metallic finish or aluminum laminated to paper. Do not fold or wrinkle the foil. There is no remedy to creases. Smooth surface is required to avoid reflective surfaces as foil magnify any imperfections on the surface to which it is attached. Remember to specify mildew resistant vinyl adhesive only. Grass Cloth, Hemp, Burlap, Cork Thes8 are mounted on paper or backing which could be weakened from oversoaking with paste. Paste one strip at a time. 337 Flocks Flocks is made of nylon or rayon available on paper, vinyl or foil wall papers Use paint roller or squeegee for best result . Wall Paper Estimating Procedure 1 . Determine the surface area to receive wall paper . 2. Subtract the area opening such as doors , windows etc. 3. Divide the net wall area by the effective covering of the wall paper size as presented on Table 10-1 to find the number of roll. 4. Add 5 to 10% allowance depending upon the design pattern. 5. Multiply the number of rolls by the corresponding amount of adhesive to get the number of boxes required. TABLE 10- 1 WALL PAPER TECHNICAL DATA Width Cm. Length / Roll Meter Effective Covering Per Roll ( sq m. ) Adhesive Box per Roll 52 54 71 10.05 10.05 13.70 5.22 5.42 9.72 . 17 338 . 18 . 32 CHAPTER 11 AUXILIARY TOPICS 11-1 ACCORDION DOOR COVER The standard height of accordion door cover is 2.40 meters or 8 feet Order could be lower than this height but computed at 2.40 m. standard height. Estimating the quantity of materials for any given length of door would be easy by using the following items comprising one meter length of the accordion door. - TABLE 11 1 QUANTITY OF ACCORDION DOOR MATERIALS PER METER WIDTH Pieces Materials G.l sheet blade 15 cm. x 2.40 m. 6 mm x 2.40 m. Steel Pin 14 pcs. 5 mm x 25 mm x 2.40 m. Flat steel bars 24 pcs. 3 mm x 12 mm x 60 cm. Flat steel bars 6 mm x 32 mm x 2.00 m. Flat steel bar ( rail ) 1 pc. 2 pcs. 38 mm dia. Roller Bearing with rivets and bushing. 35 pcs. 6 mm x 38 mm Rivets 52 pcs. 6 mm x 16 mm Rivets 112 pcs. 6 mm hole x 20 mm Washers . 50 cm. G. l . pipe 10 mm diameter 1 pc. 12 pcs. 13 pcs. 339 To find the required material for a given door opening , multiply each item by the span of the door opening in meters. ILLUSTRATION 11-1 A 4.00 meters wide door requires an accordion cover for security purposes. The accordion door is to open at the center folded at both sides direction. List down the materials. 1.00 m 1 Black Sheet JLUL - . Flat Bars - .| \\ I Li J Elevation Accordion Door Plan - FIGURE 11 1 340 SOLUTION: 1. Determine the span of door = 4 meters 2. Referring to Table 11-1 Multiply: 4 x 12 * 48 pcs. 15 cm. x 2.40 m. G .l Sheet Blade 4 x 13 = 52 pcs . 6 mm x 2.40 m. Steel Pin 4 x 14 = 56 pcs . 5 mm x 25 mm. x 2.40 m. Flat Bars 4 x 24 - 96 pcs . 3 mm x 12 mm. x .60 m. Flat bars 4 x 1 = 4 pcs. 6 mm x 12 mm. x 2.00 m. Flat Bars 4 x 2 = 8 pcs. 38 mm dia. Roller Bearing with bushings. 4 x 35 = 140 pcs. 6 mm. x 38 mm. Rivets 4 x 52 = 208 pcs. 6 mm. x 16 mm. Rivets 4 x 112 = 448 pcs. 6 mm hole x 20 mm washers 4 x 1= 4 pcs. 10 mm dia. x 50 cm. G.l. pipe (bushing) , 11 -2 GLASS JALOUSIE One important consideration in estimating glass jalousie is the clear height of the window opening. If a window is to accommodate glass jalousie, its height must be adjusted to the number of blade intended to install. Table 11-2. provides the standard height of jalousies corresponding to the number of blade. With respect to the width of the window jalousie, it does not present any problem because the glass blade can be adjusted to the design length. The glass blade however ,should not be longer than 90 centimeters. 341 TABLE 11- 2 GLASS JALOUSIE STANDARD HEIGHT Number of Blade Height of Glass Square Ft. per Blade Number of Blade Height of Glass 4 5 14 7/8" 4 x 22 = 0.61 4 x 2 4 = 0.67 4 x 26 = 0.72 4 x 28 = 0.78 4 x 3 0 = 0.83 4 x 32 = 0.89 4 x 34 = 0.94 4 x 36 = 1.00 4 x 38 = 1.06 4 x 4 0 = 1.11 4 x 42 = 1.17 4 X 44 = 1.22 4 X 46 = 1.28 4 x 48 = 1.33 13 45 3/8" 49 7/8" 53 3/8" 56 7/8" 60 3/8" 63 7/8" 67 3/8" 70 7/8" 74 3/8" 77 7/8" 6 7 8 9 10 11 12 18 3/8 21 7/8" 25 3/8" 28 7/8" 32 3/8" 35 7/8" 39 3/8" 42 7/8" 14 15 16 17 18 19 20 21 2? 11-3 WATER TANK The size and capacity of water tank for building structure depends upon the volume of waterto be stored in. Volume of water on the otherhand , depends upon the number of persons occupying the building. Thus , our problem is how to determine the volume of water and the size of the water tank which could serve efficiently to an specified number of occupants. ILLUSTRATION 11-2 342 An airconditioned commercial office building has a total occupancy of 800 persons. Determine the volume of water in cubic meter to supply the building needs. SOLUTION 1 . Determine the hourly water consumption of 800 persons. Refer to Table 11-3. For airconditioned commercial type building: Multiply: 800 x 3.8 = 3,040 gallons per hour 2 . The tank must always have 1/2 hour supply thus; 3,040 gal. = 1,520 gal per 1 /2 hour supply 2 3. The pump therefore must supply 3 ,040 gallons / hour or: 3,040 60 min. a 50.7 gallons per minute. TABLE 11-3 WATER CONSUMPTION IN OFFICE BUILDING Consumption in Gallons Per Hour per Person Building Type Commercial, no Airconditioning Commercial, with Airconditioning Owner occupied with kitchen and laundry. No Airconditioning Owner occupied with kitchen and laundry with Airconditioning 343 3.8 7.3 - 9.2 7.3 9.0 TABLE 11-4 HOT WATER CONSUMPTION IN APARTMENT BUILDING Consumption Public Housing Gallons Apartment Hotel Gallons Average Daily Per Apartment Per Person Per Room 79 28 22 50 41 Maximum Daily Per Apartment Per Person Per Room 92 33 26 69 8.9 7.6 3.2 2.5 5.3 4.9 Maximum Hourly Per Apartment Per Person Per Room 36 48 43 TABLE 11-5 COLD WATER CONSUMPTION IN BUILDINGS Type of Budding Gallons per Day per Person Residence - Average Residence - Large Apartment - Low Rent Apartment - High Rent 50 100 Hotels Office Buildings 100 75 100 25 344 ILLUSTRATION 11-3 Assuming that the water consumption of a commercial office building is 3,040 gallons . Determine the size and volume of the tank in cubic meters to contain 3,040 gallons. SOLUTION 1. Byconversion: 1 cu. m. * 264.2 gallons 2. Convert 3,040 gallons to cubic.meter. Divide: 3,040 gal. = 11.5 cu. m. 264.2 Note: This volume is the inside dimension of the tank 3. The formula for finding the size of a cylindrical tank is: d2 x 0.784 x height = volume 4 . Assuming that the height of the tank is 2.00 m. d2 x 0.784 x 2.00 m. d2 x 1.568 d2 =* d2 - - 11.5 cu. m. - 11.5 11.5 1.568 7.33 345 d * 7 7.33 d •2.72 meters, diameter of the tank 5. The size of the water tank is 2.72 m. diameter by 2.00 meters high. For more detail of this problem in plumbing , refer to the book Plumbing Design and Estimate by the same author 11-4 WOOD PILES Specifications. Piles shall be peeled removing all the rough bark at least 80% of the inner bark. Not less than 80% of the surface on any circumference shall be clean wood. No string of inner bark remaining on pile shall be over 2 cm. wide and 20 cm. long. All knots shall be trimmed closed to the body of the pile. TABLE 11-6 WOODPILES Length of Pile in Meter Under 12 meters t2.0 m. to 18.0 m. Over 18 meters Diameter from Butt Min. Cm. Max. Cm. 30 32 35 45 45 50 Minimum Tip Diameter Cm. 20 18 15 The diameter of piles shall be measured in their peeled condition. When the pile is not exactly round, the average of 3 346 measurements may be used. The butt diameter for the same length of pile shall be as uniform as possible. All piles shall retain preservative of at least the amount given in the following table: - TABLE 11 7 MINIMUM PRESERVATIVE PER CUBIC METER OF WOOD Use and Type General Use Marine Use Type of Processing Empty Cell Process Full Cell Process 321 kg. 321 kg. 193 kg. 1Q3 kg. - TABLE 11 8 ALLOWANCE BEARING POWER OF DIFFERENT SOIL Kind of Soil Value in Tons per Sq. M. Min. Max. Usual 1. Quick Sand and Alluvial Soil 2. Soft Clay 3. Wet Clay and Soft Sand 4. Clay and Sand in alternate layers 5. Finn and Dry Loom or Clay, Hard dry day or Fine Sand 6. Confined Sand 7. Compact Coarse Sand or Stiff Gravel 8. Sand and Gravel well Cemented 9. Good Hard Pan or Hard Shale 10. Rock 347 5.38 8.07 10.76 32.28 21.50 43.04 5.38 21.50 16.14 21.50 21.50 10.76 43.04 43.04 32.28 32.28 32.28 53.80 53.80 53.80 64.56 107.60 107.60 43.04 86.08 86.08 161.40 10.76 10.76 269.00 - TABLE 11 9 RANGE OF SKIN FRICTION FOR VARIOUS SOIL Type of Soil 1. Silt and Soft Mud 2. Silt Compacted 3. Clay and Sand 4. Sand with some Clay 5. Sand and Gravel Value in Kilograms per Square Meter Minimum Maximum 489 1,712 3,913 4,891 8,804 244 587 1,956 2,446 2,935 Lumber shall be treated by pressure method with creosoted coal solution or creosote petroleum solution. 11-5 BITUMINOUS SURFACE TREATMENT Hot Asphalt type - Approx . 1/2 or 1.25 cm. thick. - TABLE 11 10 BITUMINOUS MACADAM WEARING COURSE Application First Spreading First Application Bituminous Materials Liter / Sq. M. Aggregate Coarse Key Kg. Liter / Sq. M. 90 4.0 Second Spreading Second Application Third Spreading Third Application Fourth Spreading Total 13 1.8 11 1.4 8 7.2 348 122 TABLE 11-11 BITUMINOUS MACADAM PAVEMENT Hot Asphalt Type Approximately 21/4 or 5.7 cm. thick Activity First Spreading Second Spreading First Application Third Spreading Second Application Fourth Spreading Third Application Fifth Spreading Total Bituminous Materials Liter / Sq. M. Aggregate Coarse Choker Key Kg. Liter / Sq. M. 90 10 5.5 10 3.5 8 2.0 8 11.0 126 Open Graded Plan Mix Surface Course The approximate amount of materials per square meter of the open graded plant mix surfacing course and the sequence of placing shall be as folows: Plant - mixed aggregate - 80 kilos Choker aggregate 3 kilos Bituminous Materials 45 liters Choker aggregate 3 to 5 kilos The weight above are those of aggregate having a bulk specified gravity of 2.65 349 TABLE 11-12 BITUMINOUS SURFACE TREATMENT ( Hot Asphalt Type Approximately 1.6 cm . Thick ) Operations First Spreading First Spreading Second Application Second Spreading Third Application Third Spreading Bituminous Materials Liter / Sq. M. Aggregate Coarse Choker KgLiter / Sq. M. 1.0 22 1.3 6.5 0.7 4.5 Total 3.0 Values given with bulk specific gravity of 2.65. 33 11-6 FILLING MATERIALS Estimating Procedure: 1. Compute for the volume to be filled up = L x W x H 2. Determine the kind of filling materials (see Table 11-13 ) 3. Multiply the result found in step one by the corresponding percentage of additional volume (Table 11-13 ) 4. Add results to obtain the compact volume desired. TABLE 11-13 FILLING MATERIALS Materials ( Loose Volume ) % Additional to Obtain Compact Volume Earth Fill 23% Earth and Sand 16% Selected Borrow 15% 350 ILLUSTRATION 11-4 A residential lot as shown in Figure 11-2 requires filling. Compute the materials required. 20.00 m. 20.00 m X A m B 15.00 m . - 4 50 cm 1.30 m - " M SECTION X - X PLAN FIGURE 11-2 SOLUTION: 1. Find the volume of A 15.00 x 20.00 x 5.0 * 150 cu. m. 2. Find the volume of B 15.00 x 20.00 x .65 = 195 cu. m. Total volume = 345 cu. m. 3. From Table 11-13 , consider 23% compaction allowance. 345 x 23% = 79.35 say 80 Volume required = 345 + 80 = 425 cu. m. 351 - 11 7 NIPA SHINGLE ROOFING Bamboo Split y 7 -9" Spacing Nipa Shingles FIGURE 11-3 - TABLE 11 14 NIPA SHINGLES TECHNICAL DATA End Lap Cm. 10 (4") 7.5 (T ) 5.0 (T ) 2.5 (1") Effective Covering in Square Meter Class A Class B . 1300 .0975 .0650 .0325 ( 1090 . 081B .0545 .0273 No. of Pieces per Sq. Meter A B 7.70 10.27 15.38 30.77 9.18 12.23 18.31 36 62 No. of Rattan per Sq Meter * 1.8 2.0 2.6 40 36 4.0 56 80 * Rattan ties for every other bamboo split ribs. ** Rattan ties for every bamboo spirt ribs. Nipa shingle is a native local product commonly used as roofing materials. The nipa palm tree is the source of nipa shingles which normally grows on swamp areas. One nipa stalk contains approximately 174 to 180 nipa leaves. 352 Nipa shingle is classified into two: class "A" and "B". The nominal length is 150 cm. and 120 cm. respectively. The former contains approximately 82 pieces nipa leaves while the latter has approximately 68 pieces . Roof Slope The slope of the roof is an important consideration if nipa shingle is to be used. The durability and life span of the nipa shingle depends upon the slope or pitch of the rcof. The higher the slope, the longer is the life, the lower the slope the more frequent you buy nipa shingles to change your roof. Slope of rafters less than 45 degrees is not advisable for the following reasons: a) Spacing of the nipa shingles would be relatively far from the succeeding rows. Thus, the roof is considerably thin. b) To install the nipa shingles to a closer spacing will only invite rain water to flow back inside the house. c) Rain water is hard to drain on a lower pitch roof. Moisture is the number one enemy of nipa leaves, bamboo and even wood. d) Not only nipa shingles but even galvanized sheet deteriorate faster on low pitch roof. ILLUSTRATION 11-5 The area of the roof framing is 30 sq . m. having a general dimension of 3.00 by 10.00 meters. Find the number of nipa shingle required adopting 7.5 cm.(3") end lapping tied on the bamboo split ribs at every other intervals using Class "A" nipa shingle. 353 SOLUTION: 1. Determine the area of the roof. Refer to Table 11- 14 under class A * 7.5 cm. (3") lapping. Multiply: 30 sq. m. x 10.27 * 308 pcs. 2. Nipa shingle is sold in bundles of 25 pcs. Divide: 308 - 12.32 say 13 bundles 25 4. Solve for the required rattan splits. Referring to Table 11- 14 For rattan split. Multiply: 30 sq. m. x 2 pcs./ sq. m. 60 pcs. 5. Determine the number of bamboo poles required. Refer to Table 11-15 . using class B bamboo; Divide 30 sq.m. = 3.3 say 4 pcs. or 9 if class A bamboo is used: 30 sq. m. * 2.5 say 3 pcs. 12 Bamboo poles are also classified into three. They are : Class "A", "B" and "C", which are then divided into splits approximately 354 3.8 cm. to 5 cm. ( 1 1 /2" to 2" ) nailed on the purlins at an intervals of 20 to 25 cm. apart. - TABLE 11 15 BAMBOO POLES DIVIDED INTO 4 Bamboo Class Approx. Length in Meters Number of Splits 9.0 B 8 6 C 4 6.0 A CM, STICK Coverage per Square Meter 12 9 4 7.5 Too fresh or too dried bamboo is brittle. Care should be exercise to avoid cracks or separation of the bamboo grain in fastening with nails. Cracks and splitting weakens your structure but this could be avoided if the following procedures are observed. a. Divide the newly cut fresh bamboo into the desired split sizes. b. Do not install nor fasten the bamboo splits with nails until after sundried fora at least 8 hours. c . Too dried bamboo is subject to cracks and splitting if nailed on the purlins. Soak in water overnight before fastening with nails. Anahaw Leaves uyiMj m * Bamboo Split / ; 7.5 cm to 12.5 cm It ' AW MW m * -*i b• 7* 9* Spacing - FIGURE 11 4 355 11-8 ANAHAW ROOFING - TABLE 11 16 ANAHAW ROOF TECHNICAL DATA End Lapping Cm Number of Leaves Per Sq. Meter Number of 3.0m. Rattan Per Sq. Meter 7.5 10.0 84 7 60 6 15.0 45 5 Note: 1. Add 10 pcs. anahaw leaves per meter length along the gutter tine. 2. Add 10 pcs. anahaw leaves per meter length of the ridge and hip-line. 3. Add 5% allowance for damaged leaves. Dishonest supplier insert damaged leaves in each bundle which could not be detected until after it is opened for installation. However, if your supplier is dead-honest, disregard no. 3. ILLUSTRATION 11-6 From Figure 11-5, find the number of anahaw leaves and rattan splits required. SOLUTION: 1. Solve for the area of roof A and roof B. Area A = 30 sq. m. 356 Area B = 30 sq. m. Total * 60 sq. m. . 2. Refering to Table 11-16 adopting 10 cm. (4” ) end lapping: Multiply: 60 x 84 = 5 ,040 3. Determine the length of: a) Ridge line - 10.00 meters b) Gutter line = 20.00 meters Total - 30.00 meters 4. Referring to notation of Table 11-16 ; Multiply: 10 pcs. x 30 meters - 300 leaves Gutter Line - FIGURE 11 5 357 5. Add result of 2 and 4: Order: 5,040 + 300 = 5 ,340 pcs. anahaw leaves 6. Determine the number of rattan required. Refer to Table 11-16 Multiply: 60 x 6 - 360 pcs. 358 CONSTRUCTION TERMINOLOGIES ENGLISH PIPIPINO Halige, Poste Gililan Post Girder Joist Flooring Soleras Sahig, Suwelo Sepo Girt Blga Kilo Barakilan Tahilan Reostra Beam Truss Bottom Chord Top Chord Purlins Collar Plate Fascia Board Esternal Siding Vertical Stud Horizontal Stud Sinturon Senepa Tabike Pilarete Pabalagbag Ceifing Joist Window Sill Window Head Window or Door Jamb Open Stringer Kostiiyahe Pasamano Sombrero Hamba Hardinera Closed Stringer Madre de Escalera Tread Riser Baytang Takip Siipan Gabay Muldora Handrail Moulding Eave Sibe Bolada Projection 359 Framework Gutter Conductor Baiangkas Kanal Aiulod Wrought Iron Strap Plantsuwela Pierno Plantsa Estaka Bolt Scaffolding Stake Plastered Course Kusturada Stucco or Plaster Scratch Coat Picfcwork on Masonry Varnish Finish Spacing or Gap Monyeka Biyento Concrete Stab (rough) Alignment Plumb Line Cement Tiles Cement Brick Larga Masa Asintada Hulog Baldosa Ladrilyo Palitada Rebokada Piketa Door Fillet Batidora Groove Wood Grain Pattern or Schedule Hinge Kanal Haspe Plantilya Bisagra Paneled Door De Bandeha Eskumbro Earthfill Masonry Fill Adobe Anchor Solder Lastilyas Liyabe Hinang Soldering Lead Temper (metal work) Estanyo Suban, Subuhan 360 Diagonal Brace Nail Setter Wiring Knob Cabinet Hinge Piye de Galyo Punsol , Punson Poleya Espolon MENSURATION FORMULA Base x Altitude 2 Base x Altitude Triangle Area Parallelogram Area Trapezoid Area s; Circle Area S Circumference = s Ellipse Area Cone Surface (curved only) Volume Cylinder 0.7854 x Diameter 2 3.1416 x radius 2 3.1416 x Diameter 6.2832 x radius 0.7854 x Short Diameter x Long Diameter SS Surface Volume Sum of Parallel Side x Altitude 2 SS Slant height x Circumference of Base Area of Base x height 3 Length x Circumfernce plus Area of Ends 0.7854 x Length x Diam. 2 361 Sphere Surface « m Volume « 3.1416 x Diameter 2 Circumference x Diameter 0.5236 x Diameter 3 Circumference x Diameter 2 6 Vol. of Circumscribing Cylinder 3 362 TIME -B. FajardoALL .J YOUR BOO:<r By ; Construct* '' i Estimate * PUimbirg D shn r ,u Estimate ^ * planning .: id D Jgners Hanaiosk ^ * Elattrical Layout and Estfe * Simplified Methods on Builc,1 ’rt ;onstruct;i i * Eler . . nis of Roads and Highways . - - - - iMU 971 33* 3 10 Published c? :i Disnoufc - ' by . 6 6138 Mttk hmH ring d- A Fisheries St. Quwxi City, ^hiiit Te >. 924 7101 o- 7:9 61 / / . - ! J a EJ ;! IS9N 97I85- 99!0-4