(1) Hydrostatic force acting along axis of pipe on each side of bend = w A H (2) Dynamic force acting against outside of bend q ww. g (3) Force due to dead weight of pipe from anchor uphill to expansion joint, tending to slide downhill over piers = P sin x (4) Force due to dead weight of pipe from onchor downhill to expansion joint, tending to slide downhill over piers = P'sin y (5) Sliding friction of pipe on piers due to expansion or contraction uphill from anchor = f cos x (P + w – #) (6) Sliding friction of pipe on piers due to expansion or contraction downhill from anchor = f cos y (P'+ W.' – #) (7) Sliding friction of uphill expansion joint f'm (d. + 2 t) 12 (8) Sliding friction of downhill expansion joint = f'm (a + 2*) 12 (9) Hydrostatic pressure on exposed end of pipe in uphill expansion joint w H m f ( d -- ?) 14.4 (10) Hydrostatic pressure on exposed end of pipe in downhill expansion joint PROFILE PRO FILE -. Downst REAM DEFINITIONS OF SYM BOLS coefficient of friction of pipe on piers. friction of expansion joint per lin. ft. of circumference = approx. 500 lb. weight of water per cu. ft. = 62.4 lb. cross sectional area of pipe in sq. ft. of anchor. cross sectional area of pipe above upper reducer, in sq. ft. cross sectional dred of pipe below lower reducer, in sq. ft maximum head at any point, including water hammer, in feet. thickness of pipe shell, in inches. flow in cubic feet per second. velocity in feet per second. acceleration due to gravity in feet per second = 32.16. dead weight of pipe from anchor uphill to expansion joint, in pounds. weight of water in pipe P. dead weight of pipe downhill from anchor to expansion joint, in pounds. weight of water in pipe P", slope angle above anchor. slope angle below anchor. weight of pipe and contained water, from anchor to adjacent uphill pier, in pounds. weight of pipe and contained water, from anchor to adjacent downhill pier, in pounds. inside diameter of pipe in inches. cross sectional area of pipe shell at uphill expansion joint, in square feet. cross sectional area of pipe shell at downhill expansion joint, in square feet. weight of anchor, in pounds. a Pv P. e. L IOG - D - 42 Fig.45 Par. 2.34 |