ME31B: CHAPTER SEVEN DESIGN OF EXTERNAL FACILITIES ONE INTRODUCTION This chapter deals with structures which are only indirectly related to buildings, but which are of great importance to the farmer. These include: roads, culverts, bridges and water distribution systems related to farming activities. 7.1 INTRODUCTION TO SIMPLE ROAD DESIGNS Rural access roads range from the simplest earth roads to bituminous surfaced highways. However, earth roads are normally the only type that can be justified for access to farmsteads. These roads, designated as unimproved earth roads, are generally suitable solely for light traffic, up to some dozen or so vehicles per day, and they often become impassable in the wet season. Heavy lorries, which sometimes need to have access to farmsteads, should only be allowed on this type of road after an adequately long dry spell. Simple Roads Contd. There is no need for actual structural design of unimproved roads, but there are some principles, which if followed, will produce a reasonably good road for the small investment that they justify. 7.1 Road Location A survey to determine the best location for a road line starts by identifying areas through which the road must pass, for example: A gap between hills, the best location for a river crossing, and points to be linked by the road. Places to be avoided include soft ground, steep slopes, and big rocks. In large scale road projects the terrain is viewed from aerial photographs, but for smaller projects this is too costly and instead an overview of the proposed road line must be obtained from adjacent hills. Road Location Contd. Such an overview provides valuable information on natural drainage, but should always be supplemented by a detailed examination on foot. Once the points through which the road must pass have been established, the road line is laid out to run as directly as possible between them Road Gradients A steep gradient not only slows down traffic and limits the load a draught animal can pull, The recommended gradient standards for unimproved roads differ in different countries, but generally, for roads used mainly by motor vehicles, the gradient should not exceed 1 in 17 in flat or rolling terrain, 1 in 13 in hilly terrain, or 1 in 11 in mountainous terrain. In exceptional cases it may be necessary to have steeper gradients, but their maximum length should then be limited. Road Curves A straight road is the shortest distance between two points, but this may not be the most economical line for a durable, easily constructed road which is passable throughout the year. Long gentle curves are preferred since there is better visibility and less speed reduction necessary than on a sharp corner. The minimum radius for a horizontal curve is 15m but 30m or more is preferable. Road Slopes Only occasionally will an unimproved road require embankments or cuttings, but where it cannot be avoided, the side slopes should not exceed 1 in 1 on well-drained soils. In wet soil it should not exceed 1 in 3, i.e. one unit rise in three units of horizontal distance. These are maximum values and should only be used where the depth of the cut or fill is so large that to reduce the slope would be too expensive. Road Camber The camber is the slope of the road surface to the sides designed to shed water into the side drains. A simple earth track has no camber and no side drains. But all other roads should have a camber of 5 to 7% from the middle of the road, thus shedding water into both side drains. In deep cuts (where the road is dug into a hill side) or on sharp curves, the camber is designed to drain water from the whole surface inwards toward the cut or to the inside of the curve. 7.1.6 Cross Section of a Simple Earth Track The simplest earth track is obtained by merely clearing vegetation and stones from the natural soil surface. It may run between fields within a farm, from the main road to a farmstead or between small villages where the traffic volume is very low. Earth tracks are based on single lane traffic in one pair of wheel tracks, but vegetation should have been cleared wide enough to allow for two small cars to meet. Cross-Section of a Simple Earth Track Cross Section of an Upgraded Earth Road These roads may be used to connect rural market centres and villages where the traffic volume is 10 to 20 vehicles per day including some heavy lorries in the dry season. Generally the only affordable surface material is the soil found on the line of the road or in its immediate surroundings. The bearing capacity of the road depends on the type of soil and the prevailing climatic conditions. Cross Section of an Upgraded Earth Road Contd. The road is constructed by digging out soil from the sides and throwing it on the road until the cross section illustrated in Figure below is obtained. The 30 cm difference in level between the road surface and the bottom of the side drains, combined with the camber of the road surface, will ensure a much drier roadway with higher carrying capacity than the simple earth track. Methods For Improving Earth Roads Gravelling – Reduces the risk of mud forming Paving with pit run or with pitch Grassing to improve their strengths Constructing side drains These improvements are common on earth roads in Trinidad including Nariva Swamp 7.1.8 Road Construction When the land has been surveyed and the most feasible road line has been found, the centre line of the road is set out with pegs inserted at 15 to 20m intervals and tall enough to be clearly visible. Additional pegs may be installed to mark the width of the roadway, side drains and the area to be cleared. Stumping and Clearing To construct a simple earth road, trees and rocks must be cleared from the road line and well back from the road so that sun and wind can dry the road surface. Road Construction Contd. If the objective is to construct a high-level earth road, the work will continue with the construction of side drains. Construction of Side Drains Using wooden pegs and string as a guideline, the edge of the road should be established 1.8 to 2.0m from the center line. On roads with no cross-fall, side drains are dug out of either side to a depth of 150 mm and half the width of the roadway. All soil thus dug out is thrown on to the road and spread to form an even road surface with correct camber. 7.1.8 Road Maintenance The most important maintenance job on any type of earth road is to ensure that all drains work properly and that additional drains are installed wherever it becomes necessary. Secondly, rutted wheel tracks should be filled in with soil from outside the road bed. If the road surface becomes badly deteriorated it will be necessary to resurface the road by adding more soil from the side drains. 7.1 Culverts Where the road crosses a natural water way, a culvert or bridge should be built. Culverts are best suited for streams with steep banks, since their construction requires some difference in height between the level of the road surface and the bed of the stream. Culverts Contd. Culvert construction consists of the following: 1 The actual culvert (one or more pipes), which carries the water under the road. 2 The embankment, which carries the road across the water course. 3 Wing walls, which protect the embankment from flood water and direct the flow into the culvert. 4 The apron at the discharge end, which prevents erosion of the stream bed. Culverts Contd. The normal water flow is carried by the culvert, but large flows of storm water are allowed to flow over the top of the embankment. Concrete pipes, 400 to 900 mm in diameter, are often used for culverts. The diameter and number of pipes is determined by the expected water flow. Alternatively corrugated steel pipes or masonry work in burnt bricks, concrete blocks or stone may form the culvert. Culverts Concluded Where concrete pipes have been used for a culvert, the embankment must provide for a soil cover above the pipe to a depth at least equal to the diameter of the pipe in order to sufficiently protect the pipes from the load of heavy vehicles. The beams in the ceiling of a square shaped culvert with masonry walls may be designed to carry the load of vehicles, thus reducing the need to spread the load in the embankment by a soil cover. 7.1 Simple Bridges The ideal site for a bridge is where the river is narrow and the banks are solid. The bridge should be designed to interfere as little as possible with the natural flow of water. The highest level, which the river is known to have reached, is determined and the bridge designed to give at least 0.5m clearance above that level. Components of Simple Bridges 1. Abutments, the structures provided to strengthen the stream banks and adequately support the shore end of the road-bearing beams. They can be constructed of concrete, masonry work (stone, brick, concrete blocks) or timber. The lower part of the abutments will normally require wing walls to protect them from the action of the stream. Intermediate supports installed where the stream is too wide to be bridged in a single span. Timber trestles, masonry piers and reinforced concrete columns are the most common types of support. Components of Simple Bridges Contd. 2. Road-bearing beams that carry the weight of the roadway and traffic between abutments and any intermediate supports. Simple bridges have road-bearing beams consisting of round or sawn timber or universal steel beams spaced about 600 mm center-to-center across the roadway. For example, a bridge 3.0m wide requires 6 beams and a bridge 3.6m wide, 7 beams etc. The beams are usually designed as simple beams supported at the ends. Components of Simple Bridges Contd. 3. Decking or flooring, which make up the road surface on the bridge. Where poles or other rough materials have been used for decking a smoother surface can be obtained by putting planks along the bridge for the wheel tracks. The decking should be strong enough to spread the load from one wheel over at least two road-bearing beams. Wooden decking should never be covered with soil, since that will increase decay and disguise any weakness in the bridge. Components of Simple Bridges Concluded 4. Curbs made from poles or pieces of timber should be secured to the edges of the decking. Curbs will reduce the risk of vehicles slipping over the edge and will also, if positioned over the outer road-bearing beams and well secured to them, contribute to the strength of the bridge. 5. Rails along the edges of the bridge for safety. Concluding Remarks About Simple Bridges The bridge must be designed to carry the weight of the members of the bridge (dead load) and the weight of any traffic moving across it (moving load). In order to simplify calculations, the moving load is often converted to an equivalent live load by multiplying it by 2. When a heavy lorry moves across the bridge, the bridge will carry concentrated loads from the wheels with spacing equal to the wheelbase and tread-width. Concluding Remarks About Simple Bridges Contd. In a bridge of short span the largest bending moment in the road-bearing beams will occur when the back wheels which carry the greatest weight are at the centre of the span and will be determined by half the weight on one wheel, since the decking is designed to distribute the load to at least two beams. In a bridge of longer span where both front and rear wheels may be on the span at the same time, the maximum bending moment will occur when the centre of the wheel base is a short distance from the centre of the span. Concluding Remarks About Simple Bridges In addition to bending, shear may have to be considered in short spans, and deflection for long spans. Where bridges are constructed with rough materials under unfavourable conditions, a larger factor of safety should be used. 7.1 DESIGN OF WATER DISTRIBUTION SYSTEMS 7.4.1 Demand and Consumption of Water: Consumption is the amount of water used in reality e.g. in domestic needs. It rises to demand according to water supply improvements. Demand is the amount of water that would be used by consumers if available, under specific conditions of price, quality and others. Uses of Water Water is normally used for domestic, tourist, fire-fighting, industrial, agricultural (mainly irrigation) and hydro-electricity. Typical domestic water use in the Caribbean is given in Table 7.1 below. Table 7.1: Domestic Water Use in Selected Countries in the Caribbean Country Water Use (Litres/per capita/d) Barbados 217 Belize 109 Dominica 210 Grenada 114 Guyana A1 A2 A3 270 135 90 St. Lucia 160 Suriname 127 Trinidad & Tobago A1 A2 A3 297 160 126 A1 - Houses with direct house connections and Internal Plumbing A2 - Houses served at a point A3 - Houses with access to public stand pipes Source: UWI Infrastructure for Development (1996) Agricultural Water Use The agricultural consumption is mainly the crop water requirements, usually higher than human needs. In the Caribbean region, this ranges from 1 to 1.5 m (gross) per crop per season. This amounts to about 10 to 15 million litres per crop per season. Another form of agricultural consumption is livestock requirement, which can be about 64 litres per hr per day for cattle. Water Contd. Design should be based not on present water demand but on future demand estimation which is normally obtained by extrapolation. 7.1.1 Peak Factors Water design should not only provide the mean water requirement but also for the peak requirements in the year. Peak Day Factor Peak Day ' s Use . Mean daily Use A typical range of values of peak factor for the developing countries is 1.1 to 1.3 Also variation in water demand is more during the day than from day to day. Figure 7.5 below shows that water use varies at different hours throughout the day. 12a.m. 4a.m. 8a.m. Noon 4 p.m. 8 p.m. Midnight Figure 7.5: Typical daily cycles in Water Demand Peak Hour Factor Water Consumption in Peak Hour Average Water Consumption Typical values for rural communities in developing countries is up to 2 and can go up to 3 in developed countries and 4 to 4.5 in individual farms. Water Source Peak day (small pipes) (1.1 – 1.3) WATER STORAGE Point of Use Peak hour (larger pipes) ( 2 – 4) A day’s peak consumption is needed in storage to meet the demand of peak water use. Small pipes are needed to convey water from source to storage while bigger ones convey it from storage to points of use. 7.4.2 Storage and Distribution of Water Service Reservoirs: Storage in water supply network 7.4.3.1 Purposes for Storage (i) To balance supply and demand (ii)Protection against breakdown (iii) To provide a static head for gravity running (iv) Water treatment. Siting and Capacity of Reservoir 7.4.3.2 Siting of Reservoir: It should be sited as close as possible to point of use within constraints of available relief. This is to reduce the pipe cost due to the higher discharge from storage to points of use. 7.4.3.3 Capacity of Reservoir: Inflows should be kept fairly even. Outflows can be peaked. Storage is used to balance uniform inflow and non-uniform outflows. If inflow is greater than outflow, then water is getting into storage and if outflows is greater than inflows, water is coming out of storage. 7.4.3.4 Pipes There are three categories of pipes: (i)Mains:Trunk - not tapped and Distribution Mains – supply water. They have relatively large diameter and are used for conveyance and distribution. Materials used include cast iron, spun iron, asbestos, cement, or steel. (ii) Service Pipes: Individual supply lines to farms, houses and hospitals or standpipes. Materials used include copper, steel, plastics (PVC or polyethylene). (iii) Plumbing: Pipe work within the building 7.4.3.4 Pressure Classes of Pipes There are three important pressures associated with pipes. (i) Work Test: 2 to 3 times the working pressure. It is the pressure used to test manufactured pipes. (ii) Maximum Field Test: One and half times the working pressure. The specified design pressure should be tested in the field. (iii) Maximum Working Pressure: Maximum pressure derived in the field. There are three classes of maximum working pressures e.g. polyethylene Class B- 6 bars, Class C - 9 bars and Class D – 12 bars. 7.4.3.4 Pipeline Design The selection of pipes is an economic tradeoff between large diameter which will give high capital cost and low friction losses and low pumping costs (if there is pumping) OR small diameter, which will involve low capital cost, more head losses and more pumping cost. Energy cost is a function of head losses while pipe cost is a function of diameter. Allowable Head Losses (i) Allow 1 m (for big pipes) to 10 m (small pipes) head loss per 1000 m of mainline (ii) Using velocity as criteria as head loss effects is related to velocity. Normal practice in water supply for irrigation is to keep velocity within 0.6 to 1.5 m/s. Above that, there can be ‘water hammer’ or high rates of corrosion. Water hammer is transient high pressure waves due to rapid valve closure. Below 0.6 m/s, there may be silting or sediment deposition. Pipe diameter can be chosen using head losses and velocity using charts or equations. 7.4.3.4 Pipe Layout: Types of Distribution Systems (i)Individual Pipes: Connects two points in the distribution system say from a reservoir to the point of use. Example 1: A reservoir (Figure 7.7) is situated 65 m vertically above some farm buildings. The length of pipe required to lead water from the reservoir is 750 m and the pressure required at the buildings is 30 m head. Rate of flow required is 2 m3/h (2000 litre/hr). Solution: If the head available due to the height of the reservoir is 65 m, and the pressure head needed at the buildings is 30 m, the head available for overcoming friction is 65 – 30 = 35 m being the difference in head between the ends of the pipe. The equivalent length of the pipe is: Actual length (750 m) + 10% (75 m) = 825 m Plus (say) 1 tap + 2 stop taps = 135 m Total = 1060 m Solution Concluded The hydraulic gradient is Pressure difference/ equivalent length = 35/1060 = 1/30 Since the maximum head is 65 m, a Class C (9 bar or 90 m) pipe is required, and referring to Chart provided, it can be seen that a 32 mm nominal (internal) diameter Class C low density polythene pipe would satisfy these requirements. Velocity is about 0.8 m/s which is acceptable (within 0.6 and 1.5 m/s). Chart (ii) Branching System The advantages are relatively few joints and the system is easy to build and design. The disadvantages are that sediments may accumulate at dead ends of the pipe. Secondly, it there is pipe bursts, a total cut off for zone beyond failure results. This means that in case of bursts, the system will be cut off. Also there is limitations in adding to the system beyond a certain point. Because of these disadvantages, branch system is used in small community projects. Example 2: For the branching pipe system shown below: At B and C, a minimum pressure of 5 m. At A, maximum pressure required is 46 m and the minimum is 36 m. Select a suitable diameter for AB and BC. 0.15 l/s 219 m A 2.9 m3/h 700m 2.4 m3/h 0.5m 3/h 825 m B 189 m Public water main C (219 m, Solution: Computation Table Pipe Flow Leng Pipe Head Flow Head Elev. Grou Press Rem nd Head . Sect. (m3/ th Dia Loss Vel Loss of h) (m) mm (m/1 m/s (m) hydr. level (m) 00 m Grad elev e (m) (m) 23 A 260 B 237 189 46 O.K BC 0.5 825 19 1.6 0.5 13 B 237 C 224 219 5 Just O.K AB 2.9 700 32 3.3 0.85 Explanation of Table The average of the maximum and minimum pressure required at A is 41 m. If you subtract the minimum pressure needed at B (5 m) from 41 m, you get 36 m. Since the length of the pipe is 700 m, the hydraulic head loss is 36/700 = 0.051 = 5/100 = 1/20. With the discharge of 2.9 m3/h and head loss of 1/20, the next higher diameter of pipe is 32 mm from the chart. Chart Explanation of Table Contd. With now 32 mm diameter pipe chosen in column 4 of the Table, and the same flow rate, the actual head loss is now 1/30 from the chart which is 3.3 m/100m as shown in column 5. The flow velocity is about 0.85 m/s which is acceptable. The head loss is now (3.3 x 700)/100 = 23 m. At A, the elevation of the hydraulic grade line is now 41m + ground elevation (219 m) = 260 m. Explanation of Table Contd. For B, it is 260 minus the head loss (23 m) which is 237 m. The ground elevation at B is 189, so the pressure head of water is 237 – 189 = 48 m which is adequate. For Pipe BC, the design flow is 0.5 m3/h. The hydraulic grade line at B is still 237 m and the elevation at C is 219 m. The hydraulic grade line required at C is 219 m plus 5 m head of water, making a total of 224 m. Explanation of Table Concluded. The hydraulic gradient from B to C is then (237 – 224)/825 = 0.016 which is 1.6/100 = 1/60. With hydraulic gradient = 1/60 and the flow rate of 0.5 m3/s, the diameter of pipe from the Chart is exactly 19 mm. The velocity is 0.5 m/s which is barely acceptable. The head loss is 0.016 x 825 m = 13 m. The hydraulic grade line at C is therefore 237 m – 13 m, which is 224 m. This will give the pressure head of 5 m required at C. (iii)Grid Pattern/Looped Network Interconnected pipes – water reaches a point from a number of directions. The advantages are that there will be no stagnation i.e. no dead ends and during repairs (pipe burst), there will be no need for complete cutoff. Only some parts of the system will be cut off. There are also more even pressures throughout the system. The disadvantages are that the designs are more complicated and there are more pipes and more fittings. Pipe Network Analysis Using the Hardy Cross method. The Hardy Cross system is used for water flow analysis in a more complex system than the dead end system. There are two principles: closed loop: In any 7 (i) Flow into a junction is equal to the flow out of it. That is allowing for signs: Q 0 (ii) (ii) The algebraic sum of pressure losses round a circuit must be zero. That is allowing for signs: h f 0 Q1 Q2 3 1 4 Q3 2 Q4 According to first principle: Q1 + (-Q2) + (-Q3) = 0 Also: Q2 + Q3 + (-Q4) = 0 For the second principle: hf (1) + hf (2) + hf (3) + hf (4) = 0 Convention: Positive sign is given to clockwise flow and negative sign is given to anticlockwise flow. Procedure For Analysis 1. Assign assumed flows to each pipe segment in network such that at each junction: 2. Calculate hf for each pipe using for example Hazen Williams equation: hf = 10.67 CH -1.85 D- 4.87 Q1.85 L Where hf is head loss (m), CH is roughness coefficient of pipe material ; D is diameter of pipe (m), Q is water flow rate (m3/s) and L is length of pipe (m). Divide up network into closed loops such that each pipe occurs at least once. h with due regard for sign. More than likely, h will not be zero. For each circuit, determine be zero. Compute f f hf Q for each circuit. Disregard the sign. Using that get the correction factor: h f Q h m f Q Correct the flows estimated in stage 1 as follows: Qnew Qold Q with due regard to signs. Remember that h f mu Procedure Concluded For any pipe that occurs twice, do the correction for the two loops. B E C BC occurs twice. F A D 8. Repeat from step 2 until desired accuracy is obtained. Example Example: Obtain the flow rates in the network shown below. 90 l/s A 55 600 m B 45 254 mm 10 35 600 m 152 mm 600 m 254 mm C +ve 600 152 mm C 15 15 60l/s 66600 E 600 m 152 mm 5 D 600 m 152 mm Solution ABDE is one loop as shown above and BCD is the second loop. Note that the clockwise water flows are positive while the anti-clockwise ones are negative. Positive and negative flows give rise to positive and negative head losses respectively Solution Circuit I Pipe L (m) D (m) Q (m3/s) hf (m) hf/Q AB 600 0.254 + 0.055 2.72 49.45 BD 600 0.152 + 0.01 1.42 142 DE 600 0.152 - 0.005 - 0.39 78 EA 600 0.152 - 0.035 -14.42 412 - 10.67 681.45 Total II BC 600 0.254 + 0.045 1.88 41.8 CD 600 0.152 - 0.015 - 3.01 200.67 DB 600 0.152 - 0.010 - 1.42 142 - 2.55 384.47 Total Sample Calculation: Using the Hazen Williams Equation in Step 2 : hf for pipe AB = 10.67 x 135 – 1.85 x 0.254 -4.87 x 0.055 1.85 x 600 = 2.72 Q 0.008 0.004 h f 10.67 Q1 0.00846 8l / s h f 185 . x 68145 . m Q 2.55 Q2 0.00359 4l / s 185 . x 384.47 Correct the flows as shown below: 90 l/s A 63 B 49 27 C 14 60 //s 11 E 30 l/s 3 D Circuit I Pipe L (m) D (m) Q (m3/s) hf (m) hf/Q AB 600 0.254 + 0.063 3.5 55.5 BD 600 0.152 + 0.014 2.67 190.71 DE 600 0.152 + 0.003 0.153 51 EA 600 0.152 - 0.027 - 8.92 330.37 - 2.6 681.45 Total II BC 600 0.254 + 0.049 2.2 44.9 CD 600 0.152 - 0.011 - 1.69 153.64 DB 600 0.152 - 0.014 - 2.67 190.7 - 2.55 389.25 Total h f 2.6 0.002 2 L / s hf 185 . x 627.58 m Q 2.16 Q2 0.003 3 L / s 185 . x 389.25 Q1 Q 0.002 0.003 Correct flows again for the third trial 90 l/s 65 A B 52 25 13 C 60 l/s 8 E 30 l/s 5 D Circuit I Pipe L (m) D (m) Q (m3/s) hf (m) hf/Q AB 600 0.254 + 0.065 3.72 57.2 BD 600 0.152 + 0.013 2.31 177.7 DE 600 0.152 + 0.005 0.39 78 EA 600 0.152 - 0.025 - 7.7 308 - 1.28 620.9 Total II BC 600 0.254 + 0.052 2.46 44.9 CD 600 0.152 - 0.008 - 0.94 153.64 DB 600 0.152 - 0.013 - 2.31 190.7 - 0.79 342.5 Total h f 128 . 0.001 1 l / s h f 185 . x 620.9 m Q 0.79 Q2 0.00125 1 l / s 185 . x 342.5 Q1 Q 0.001 0.003 Final Water Flows Final Water Flows 90 l/s 66 l/s 53 l/s 24 l/s 13 l/s 60 l/s 7 30 l/s 6 l/s Note: A computer programme exists for analysis using the Hardy Cross Method