1994-08-19_HYDROLOGY - M1977378 - Laserfiche WebLink

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L. Perino Page 2 August 19, 1994 concrete under the entire downstream face of the waterstop. The line loads are assumed to be applied to the 4 inches of plate outside the 6. 625-inch diameter bypass pipe. The result of applying the maximum 8, 090 lbs to the bypass pipe is elastic elongation of the pipe between the thrust collar and the waterstop. The elastic modulus of the Schedule 80 (Extra Strong) 316L Stainless Steel is assumed to by 30, 000, 000 in/in This assumption is realistic for stainless steel in general. The calculation of the force ( P ) exerted by the waterstop against the concrete follows: I - moment of inertia of the assumed square, one-way supported beam. I = b a3 ; b = 4 in ; h = 0. 035 in I = 4(0 i�353) = 0.0000143 in 4 Extension of bypass pipe between thrust collar and waterstop: Stress on bypass pipe ( a ) : a= thrust _ 8090 = psi si area 8.40 Elastic modulus = E = stress = a E_ a __ 963 _ in strain ' E 30000000 — 0.0000321 in Bypass pipe extension ( 01 ) between the thrust collar at 5. 5 feet (66 inches) from the airside face of the bulkhead and waterstop 2 .75 feet (33 inches) from the airside face of the bulkhead: 1 = 0.0000321[(5. 5-2.75)12] = 0.00106 in Bypass pipe extension ( 01 ) equals the waterstop deflection at the welded attachment points of the waterstop to the pipe, two points, each 2 inches from both the assumed simple supports. Therefore, the equivalent force required to deflect the waterstop an equivalent distance ( Al ) at loading points "a" must be supported by the rebar tensile reinforcement. 01 _ Pa2[6Eli-4a] ; P— a[3(1)4a] _ [6(30000000)0.000014310.00106 2.73 _ P 22[3(10.625)-4(2)] 95.5 — 0. 0286 lb times two loading points equals 0. 0572 lbs of total waterstop load. If it is assumed that the waterstop is loaded in the center (simple beam, concentrated load at center) , the calculated force to produce 0. 00106 inches of deflection 2 inches from the simple edge supports is: 01 4' [3(12)-4x2] i P= (48EI)A1 x[3(12-4x2)] [48(30000000)0.0000143]0.00106 — 21.8 _ P_ 2[3(10.6252)-4(22)] 645 — 0. 0338 lb total waterstop load.