316L Pipe Sizing Calculations and Tables

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1 DISCUSSION For piping systems constructed with a minimum ¾ to a maximum 2-1/2 316L seamless pipe (A312). The physical dimensions and mechanical properties are listed below: Material: 316L : ¾ 2-1/2 Schedule Thickness: See Chart below See Chart below Tensile Strength: 70,000 psi (ASTM A312) Yield Strength: 25,000 psi (ASTM A312) To satisfy the specification, the pipe must have a Working of at least 3,000 psi and a have a minimum Burst of 12,000 psi. The calculations below support the choice of pipe schedule shown in Table 1. 1) Working Calculation The calculation for Working is based on ANSI B31.1 and ANSI B31.3 ( )3a)(3b)(3c). The listed form of the equation in ANSI B , Section 3, par. 324(a) shown below solves for allowable pressure: Where: 2 x S x (t m C ) P = (1) D 2 x Y x (t m C ) P = Working (psi) S = Working Stress (calculated below) t m = Thickness (87.5% of nominal wall thickness) C = Allowance for corrosion and/or mechanical strength =.0015 Y = Coefficient for Temperature =.4 up to including 900 F. D = Outside diameter of pipe = 1.05 for ¾ The Stress (S) is calculated from the lower of the two equations: The lower value comes from equation (2), hence the Working Stress: Yield x 2 25 ksi x 2 S = = = 16.7 ksi (2) 3 3 Tensile 70 ksi S = = = 23 ksi (3) 3 3 S = 16.7 ksi = 16,700 psi (4) - 1 -

2 Substituting the known values in Equation (1) for ¾ Schedule. 40 yields: 2 x S x (t C ) 2 x 16,667 x (.113 x ) P = = (5) D 2 x Y x (t C ) x.4 x (.113 x ) P = 3,339 psi for Stainless ¾ Sched. 40 Pipe (6) The working pressure for ¾ Schedule 40 Stainless Steel pipe is 3,339 psi exceeding the requirement for 3,000 psi. Table 1 below lists the working pressures for range of pipe sizes anticipated for the Olympus N-88 Rig. Sched TABLE 1 N88 pipe Calculations based on Stress Dimensions in inches Stress & Press. "psi" Outside Diameter 87.5% Nominal Corr. Allow. Temp. Coef. Working Stress Working 3/4" , /4" , " , " , " , /4" , /4" , /4" , /2" , /2" , /2" , " , " , " , /2" , /2" , /2" , For a 3,000 psi system, schedule 80 pipe is acceptable for all sizes except 2. The 2 pipe will require schedule

3 2) Burst Calculation The calculation for Burst is based on ANSI B31.1 and ANSI B31.3. The listed form of the equation in ANSI B , Section 3, shown below solves for burst pressure: Where: 2 x S x t P = (1) D P = Burst S = Tensile Stress = 70,000 psi t = Thickness =.113 inch D = Outside diameter of pipe = 1.05 for ¾ Substituting the known values in Equation (1) yields: 2 x 70,000 x.113 P = (2) P = 15,067 psi (3) The burst pressure for ¾ Schedule 40 Stainless Steel pipe is 15,067 psi exceeding the requirement for 12,000 psi. Table 2 shows the bursting pressure for the pressure lines anticipated on the Olympus N-88. TABLE 2 N88 Pipe Calculations based on Bursting Dimensions in Inches Sched. Outside Diameter Thickness Tensile Stress (psi) Bursting (psi) 3/4" , " , /4" , /2" , " , / ,

4 3) Required Thickness for Bending Pipe Where possible, the pipe will be bent in place of installing socket welded 90 s or 45 s. When pipe is bent along a radius, the outer wall extends and the inner wall compresses. The resultant is a reduction in the wall thickness and hence a reduction in the allowable pressure of the pipe. The following calculation determines the reduction in wall thickness based on the geometry. The reduction is calculated. The calculations are based on a bend radius of six (6) times the diameter of the pipe. This is an industry standard and the basis of most hydraulic pipe bending machine dies. o R =6.5D i L R =5.5D i R=6D L o A) Given Parameters t m For ¾ Pipe, schedule 80 = Outer Diameter = 1.05 t m = Thickness =.154 R = Center of Pipe = 6 OD = 6.30 R i = Inner = 5.5 OD = 5.78 R o = Outer = 6.5 OD = 6.83 L i = Inner Length L o = Outer Length B) Calculations / / 2 Elongation = = = 7.68% (1) R o x R o x π 2 x 6.83 x π Outer Length (L o) = = = (2) x R i x π 2 x 5.78 x π Inner Length (L i) = = = (3)

5 L i x t m x.154 New thickness = = =.130 (4) L o Substituting the known values in Equation (1) yields: 2 x S x (t C ) 2 x 16,667 x (.130 x ) P = = (5) D 2 x Y x (t C ) x.4 x (.130 x ) P = 3,897 psi for Stainless ¾ Sched. 80 Pipe (6) The working pressure for ¾ Schedule 80 Stainless Steel pipe after bending is 3,897 psi exceeding the requirement for 3,000 psi. TABLE 3 N88 for Bending Dimensions in inches "psi" Center Of Inner Outer Inner Length Outer Length New 3/4" /4" " ' " /4" /4" /4" /2" /2" /2" " " " /2" A reduction in pressure is encountered, but all pressure sizes stay above 3,000 psi

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