Lecture #1 Student Objectives: * You should know what the instructor expects from you to final grade * You should be able to assess your level of knowledge for this course * You should be able to recall the fundamentals of Strength of Materials Lab Requirements • All groups are required to have a name and team captain. (group size 5 to 6 people) • Each group must hand in one write-up and email their data to the instructor. • Groups should state the level of participation from each individual. • Groups will always meet in classroom before going over to Lab. REVIEW OF LECTURE#1 LIST ALL OF THE COMMON CONSTRUCTION MATERIALS: WOOD CONCRETE BITUMENS MASONRY WHAT DETERMINES THE SELECTION OF THIS MATERIAL ?? COST SUITABILITY ENVIRONMENTAL IMPACT ACCEPTANCE, Q/C, R & D WHAT ASPECTS OF THESE PROPERTIES ARE IMPORTANT?? MECHANICAL PROPERTIES SHEAR, TORSION,TENSION, ETC. PHYSICAL PROPERTIES - DENSITY, SPECIFIC GRAVITY, ETC CHEMICAL PROPERTIES - ITS COMPOSITION, ITS REACTION WITH OTHER ELEMENTS HOW IS THE USE OF THIS MATERIAL GOVERNED?? MODEL CODES - BOCA, UBC, SBC, IBC 2000 ASTM & ACI (STANDARDS FOUND IN THE TEXT BOOK) STRENGTH OF MATERIAL REVIEW (CHAPTER ONE CONT’D) COMPRESSION TORSION SPLIT TENSILE TENSION THIRD POINT LOADING WHAT ARE OTHER BEHAVIORS OF INTEREST ?? DEFORMATION DUE TO THERMAL EXPANSION L c t L SEE PAGES 7 & 8 IN THE TEXT FOR SAMPLE PROBLEM & TABLES STRAIN - STRAIN CURVES AND FORMULAS P TXA E PL AE REMEMBER TO DO PROB.11 FOR HWK STEEL VS CONCRETE ELASTIC LIMIT ULTIMATE STRENGTH STRESS YIELD POINT PROPORTIONAL LIMIT Elastic Modulus(slope) or Young’s Modulus (E) STRAIN Stress - Strain Diagram of various concretes f’c:5700 psi f’c:4700 psi f’c:4100 psi f’c:3300 psi f’c:2600 psi strain(x10-4) ELASTIC FORMULAS ACI 318 -modulus of Elasticity E w (33) f 'c 1.5 0.5 w= the unit weight of concrete for normal concrete the equation simplifies to: E 57000 f 'c 0.5 S 2 S1 E 2 0.00005 max moment equation Flexural Stress Equation M Fb S Modulus of Rupture Pl MOR 2 bd SAMPLE DEFLECTION PROBLEM A steel bar 4 sq. inches. in area is used to support a gravity load in building construction. If 1 foot of the bar is hanging vertically, and a load of 72000 lbs is being supported at the lower of the bar, determine the total elongation of the bar. (neglecting its own weight) E 30 x10 psi 6 GENERAL DEFORMATION EQUATION Modulus of Elasticity = P/A E = Stress / Strain = /L = P.L / A.E Mild steel : 4" 1" 1' - 0' OVERVIEW OF CONCRETE TESTING TEST THE AGGREGATES PROPERTIES TEST THE CEMENT PROPERTIES DESIGN THE MIX BATCH THE MIX AND TEST IT CRUSH CYLINDERS IN SEVEN DAYS CRUSH CYLINDER IN 28 DAYS PERFORM THE SPLIT TENSILE TEST STRESS .VS. STRAIN VARIOUS DRYING CONDITIONS AIR DRY SAMPLE WITH VOIDS, WATER, SOLIDS OVEN DRY LAB ERROR CORRECT SURFACE MOISTURE =TOTAL MOISTURE -ABSORPTION SATURATED SURFACE DRY SSD OD % ABS OD OVEN DRIED WET SURFACE (LAB TESTING ERROR) SEVEN TEST FOR AGGREGATES TEST#1 CA- Gs & ABSORPTION WEIGH 8.8LB OF SAMPLE(AIR) IMMERSE AGG IN WATER 24 HRS. ROLL SAMPLE IN CLOTH (SSD) SUBMERGE SAMPLE (SUB) OVEN DRY THE SAMPLE (DRY) CALCULATE -Gs (BULK), Gs (SSD), Gs(APPARENT), ABSORPTION TEST#2 FA- Gs & ABSORPTION WEIGH 500g OF SAMPLE(AIR) IMMERSE AGG OR 6% M.C. (24 HRS) BLOW DRY SAND (SSD) SUBMERGE SAMPLE IN PYNC (SUB) OVEN DRY THE SAND (DRY) CALCULATE -Gs (BULK), Gs (SSD), Gs(APPARENT), ABSORPTION TEST#3- DRY RODDED UNIT WEIGHT WEIGH THE CONTAINER ROD 1/3 WITH 25 STROKES WEIGH THE CONTAINER & SAMPLE CALCULATE THE BULK DENSITY TEST#4 TOTAL & SURFACE MOISTURE WEIGH FA & CA SAMPLE(AIR) OVEN DRY SAMPLES (OD) CALCULATE MOISTURES TEST# 6 & 7 SIEVE ANALYSIS