316L Pipe Sizing Calculations and Tables

1 316l pipe Sizing Calculations and Tables 316l pipe Sizing Calculations - 1 - Yield x 2 25 ksi x 2 S = ------------ = ------------- = ksi (2) 3 3 2 x S x (tm C ) P = ------------------- (1) D 2 x Y x (tm C ) Tensile 70 ksi S = ----------- = ---------- = 23 ksi (3) 3 3 DISCUSSION For piping systems constructed with a minimum to a maximum 2-1/2 316l seamless pipe (A312). The physical dimensions and mechanical properties are listed below: Material: 316l Size: 2-1/2 Schedule 40 - 160 Wall 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 Pressure of at least 3,000 psi and a have a minimum Burst Pressure of 12,000 psi.

2 The Calculations below support the choice of pipe schedule shown in table 1. 1) Working Pressure calculation The calculation for Working Pressure is based on ANSI and ANSI ( )3a)(3b)(3c). The listed form of the equation in ANSI 2001, Section 3, par. 324(a) shown below solves for allowable pressure: Where: P = Allowable Working Pressure (psi) S = Allowable Working Stress (calculated below) tm = Wall Thickness ( 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 = for The Allowable Stress (S) is calculated from the lower of the two equations: The lower value comes from equation (2), hence the Allowable Working Stress: S = ksi = 16,700 psi (4) 316l pipe Sizing Calculations and Tables 316l pipe Sizing Calculations - 2 - 2 x S x (t C ) 2 x 16,667 x (.

3 113 x .875 .0015) P = ------------------- = ---------------------------------------- ------ (5) D 2 x Y x (t C ) 2 x .4 x (.113 x .875 - .0015) P = 3,339 psi for Stainless Sched. 40 pipe (6) Part 2 pipe (cont.) Substituting the known values in Equation (1) for Schedule. 40 yields: The working pressure for 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. table 1 N88 pipe Size Calculations based on Allowable Stress Dimensions in inches Stress & Press.

4 "psi" Size Sched Outside Diameter Wall Thick. Nominal Corr. Allow. Temp. Coef. Allowable Working Stress Allowable Working Pressure 3/4" 40 16,667 3339 3/4" 80 16,667 4708 1" 40 16,667 3144 1" 80 16,667 4360 1" 160 16,667 6374 1 1/4" 40 16,667 2580 1 1/4" 80 16,667 3614 1 1/4" 160 16,667 4873 1 1/2" 40 16,667 2322 1 1/2" 80 16,667 3284 1 1/2" 160 16,667 4779 2" 40 16,667 1958 2" 80 16,667 2837 2" 160 16,667 4675 2 1/2" 40 16,667 2147 2 1/2" 80 16,667 2982 2 1/2" 160 16,667 4166 For a 3,000 psi system, schedule 80 pipe is acceptable for all sizes except 2 . The 2 pipe will require schedule pipe Sizing Calculations and Tables 316l pipe Sizing Calculations - 3 - 2 x S x t P = ------------ (1) D 2 x 70,000 x.

5 113 P = ------------------------ (2) P = 15,067 psi (3) Part 2 pipe (cont.) 2) Burst Pressure calculation The calculation for Burst Pressure is based on ANSI and ANSI The listed form of the equation in ANSI 2001, Section 3, shown below solves for burst pressure: Where: P = Burst Pressure S = Tensile Stress = 70,000 psi t = Wall Thickness = .113 inch D = Outside diameter of pipe = for Substituting the known values in Equation (1) yields: The burst pressure for 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.

6 table 2 N88 pipe Size Calculations based on Bursting Pressure Dimensions in Inches Size Sched. Outside Diameter Wall Thickness Tensile Stress (psi) Bursting Pressure (psi) 3/4" 80 70,000 20533 1" 80 70,000 19130 1 1/4" 80 70,000 16108 1 1/2" 80 70,000 14737 2" 160 70,000 20278 2 1/2 160 70,000 18260 316l pipe Sizing Calculations and Tables 316l pipe Sizing Calculations - 4 - R=6DR = = 2 pipe (cont.) 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 .

7 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. A) Given Parameters For pipe , schedule 80 = Outer Diameter = tm = Wall Thickness = .154 R = Center Radius of pipe = 6 OD = Ri = Inner Radius = OD = Ro = Outer Radius = OD = Li = Inner Length Lo = Outer Length B) Calculations / 2 / 2 Elongation = ----------- = ------------ = (1) Ro 2 x Ro x 2 x x Outer Length (L o) = --------------- = ----------------- = (2) 4 4 2 x Ri x 2 x x Inner Length (L i) = --------------- = ----------------- = (3) 4 4 316l pipe Sizing Calculations and Tables 316l pipe Sizing Calculations - 5 - 2 x S x (t C ) 2 x 16,667 x (.

8 130 x .875 .0015) P = ------------------- = ---------------------------------------- ------- (5) D 2 x Y x (t C ) 2 x .4 x (.130 x .875 - .0015) P = 3,897 psi for Stainless Sched. 80 pipe (6) Part 2 pipe (cont.) Li x tm x .154 New Wall thickness = --------- = -------------------- = .130 (4) Lo Substituting the known values in Equation (1) yields: The working pressure for Schedule 80 Stainless Steel pipe after bending is 3,897 psi exceeding the requirement for 3,000 psi. table 3 N88 Allowable Pressure for Bending Dimensions in inches "psi" Size Wall Thick. Center Of Radius Inner Radius Outer Radius Inner Length Outer Length New Wall Thick.

9 Allowable Pressure 3/4" 40 2784 3/4" 80 3909 1" 40 2624 1' 80 3626 1" 160 5265 1 1/4" 40 2159 1 1/4" 80 3014 1 1/4" 160 4047 1 1/2" 40 1945 1 1/2" 80 2742 1 1/2" 160 3971 2" 40 1642 2" 80 2373 2" 160 3887 2 1/2" 160 3464 A reduction in pressure is encountered, but all pressure sizes stay above 3,000 psi.