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SN TH INILUAW coNSUUANn. INC. <br /> <br />4 <br />r <br />PROJECT: JOB NO: SHEET-A_OF-l <br />re qua VLF <br />FEATURE: BY: DATE: <br />Riser Pipe Design ALD 2/18/08 <br />DETAILS: CHKD BY: DATE: <br />Pipe Collapse Strength and Shear Traction Stress DTW 2/20/08 <br />1 <br />O.D. = 24" <br /> I.D. = 23 1/4" <br /> Wall = 3/8" = 0.375" <br /> Carbon Steel A53 <br />Collapse Strength (Timoshenko's Formula): <br />P, = [(2E/[1-y1]) * (1/[(D,/t)-1])3 <br />E = 3 x 107 psi (Modulus of Elasticity) - Assumed typical <br />y = 0.3 ( ) - Assumed typical <br />D, = Outer diameter = 24" <br />t = wall thickness = 0.375" <br />P, = [(2 * (3 x 107) /[1-0.3z]) * (1/[(24/.375)-1])3 <br />Pc,. = 263.7 psi = 37,973 psf <br />Maximum lateral stress = 2,081.2 psf <br />FOS = 37,973 psf / 2,081.2 psf = 18.25 <br />Shear Traction Stress Calculation: <br />T = a"tan4o <br />a„ = Average Lateral Stress = 1,040.6 psf <br />t = (1,040.6 psf) * tan(17•) = 318.1 psf <br />Convert Shear Traction Stress to Shear Stress: <br />Shear force = t * area <br />area = 2nR * L = 2n * (2/2) * 40 ft = 251.3 ftz <br />Shear force = 318.1 psf * 251.3 ft2 = 79.947 Ibs