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Terry Tunnel Bypass Pipe C ilations Page 3 February 25, 1994 <br /> Thickness of thrust ring_plate required <br /> Thrust developed in pipe by application of maximum design head of 650 feet applied to <br /> downstream end of 6-inch Schedule 40 Standard Weight pipe. <br /> ID = 6.065 in OD = 6.625 in <br /> h = Hp = 650(62.4) = 280 psi <br /> 144 144 <br /> z z <br /> AID = 7r 4 = 9r 6.465 ) = 28.89 in' <br /> T = h(AID) = 280(28.89) = 80901b <br /> Area of metal required to support shear stress developed by thrust . Assume 3/8-in thickness, 2 in annulus <br /> Allowable yield stress in shear for annealed stainless steel - 19000psi <br /> (Resistance of Materials, Seely, F.B. & N.E. Ensign, 1952, p469) <br /> CID = ;r(OD) = T(6.625) = 20.80 in <br /> Shear area = A. = C/Dt = 20.80(0.375) = 7.80 in' <br /> Shear stress = a, = T = 8090 = 1040 psi <br /> A. 7.80 <br /> Shear strength = 7.80(19000) = 148000 lb <br /> Factor of Safety = 148000 = 18.3 <br /> 8090 <br /> Compressive stress applied to concrete by thrust ring at maximum thrust load. <br /> Thrust ring ID= 6.625, OD = 10.625 (2-in width). <br /> ir(D'—D;) ir(10.625'—6.625T) z <br /> Bearing area = B = 4 — 4 = 54.19 in <br /> Compressive bearing stress = Cb = T = 8090 = 150 psi Factor of Safety = 3000 = 20.0 <br /> B 54.19 150 <br /> Position of thrust ring inside downstream face of Terry Tunnel Bulkhead to mobilize full section of <br /> bulkhead to resist maximum applied thrust. <br /> Using the 45 degree approximation for stress dissapation within the bulkhead concrete, the required <br /> distance is on half of Terry Tunnel width of 11 feet, 5.5 feet from the downstream bulkhead face. <br /> John F. Abel, Jr. <br /> Colorado P.E. 5642 <br />