VERIFICATION MANUAL 2020 CODEWARE ® Table of Contents 1. Introduction ............................................................................................................................................................... 5 1.1 Purpose of Document ......................................................................................................................................5 1.2 Scope of Software ...........................................................................................................................................5 1.3 Published Examples ........................................................................................................................................5 1.4 Intellectual Property Statement .......................................................................................................................5 2. Verification of Published Examples .......................................................................................................................... 6 2.1 ASME Section VIII - Division 1 Example Problems (PTB-4-2013) .............................................................7 E3.1 - Use of MDMT Exemptions Curves ......................................................................................................8 E3.2 - Use of MDMT Exemptions Curves with Stress Reduction ..................................................................9 E3.3 - Determine the MDMT for a Nozzle-to-Shell Welded Assembly ....................................................... 10 E4.1.2 - Determine Required Wall Thickness of Hemispherical Head ......................................................... 11 E4.2.1 - Nondestructive Examination Requirement for Vessel Design ......................................................... 12 E4.2.2 - Nozzle Detail and Weld Sizing ........................................................................................................ 13 E4.2.3 - Nozzle Detail with Reinforcement Pad and Weld Sizing ................................................................ 14 E4.3.1 - Cylindrical Shell .............................................................................................................................. 15 E4.3.2 - Conical Shell.................................................................................................................................... 16 E4.3.3 - Spherical Shell ................................................................................................................................. 17 E4.3.4 - Torispherical Head .......................................................................................................................... 18 E4.3.5 - Ellipsoidal Head .............................................................................................................................. 19 E4.3.6 - Combined Loadings and Allowable Stresses Cylindrical Shell ....................................................... 21 E4.3.7 - Conical Transitions Without a Knuckle ........................................................................................... 22 E4.3.8 - Conical Transitions With a Knuckle ................................................................................................ 26 E4.4.1 - Cylindrical Shell .............................................................................................................................. 27 E4.4.2 - Conical Shell.................................................................................................................................... 29 E4.4.3 - Spherical Shell and Hemispherical Head ......................................................................................... 31 E4.4.4 - Torispherical Head .......................................................................................................................... 32 E4.4.5 - Ellipsoidal Head .............................................................................................................................. 34 E4.4.6 - Combined Loadings and Allowable Stresses Cylindrical Shell ....................................................... 36 E4.4.7 - Conical Transitions Without a Knuckle ........................................................................................... 38 E4.4.8 - Conical Transitions With a Knuckle ................................................................................................ 44 E4.5.1 - Radial Nozzle in Cylindrical Shell .................................................................................................. 46 E4.5.2 - Hillside Nozzle in Cylindrical Shell ................................................................................................ 47 E4.5.3 - Radial Nozzle in Ellipsoidal Head ................................................................................................... 49 E4.5.4 - Radial Nozzle in Cylindrical Shell .................................................................................................. 51 E4.5.5 - Pad Reinforced Radial Nozzle in Cylindrical Shell ......................................................................... 52 E4.5.6 - Radial Nozzle in an Ellipsoidal Head with Inside Projection .......................................................... 53 E4.6.1 - Flat Unstayed Circular Heads Attached by Bolts ............................................................................ 54 E4.6.3 - Integral Flat Head with a Centrally Located Opening ..................................................................... 55 E4.7.1 - Thickness Calculation for a Type D Head ....................................................................................... 56 E4.11.1 - Partial Jacket .................................................................................................................................. 57 E4.12.1 - Unreinforced Vessel of Rectangular Cross Section....................................................................... 58 E4.15.1 - Horizontal Vessel with Zick's Analysis ..........................................................................................59 E4.15.2 - Vertical Vessel, Skirt Design ......................................................................................................... 60 E4.16.1 - Integral Type.................................................................................................................................. 61 E4.16.2 - Loose Type .................................................................................................................................... 65 E4.18.1 - U-Tube Tubesheet Integral with Shell and Channel ...................................................................... 69 E4.18.2 - U-Tube Tubesheet Gasketed with Shell and Channel ................................................................... 70 E4.18.3 - U-Tube Tubesheet Gasketed with Shell and Channel ................................................................... 71 E4.18.4 - U-Tube Tubesheet Gasketed with Shell and Channel, Extended as Flange .................................. 72 E4.18.5 - Fixed Tubesheet Exchanger, Configuration b, Tubesheet Integral with Shell, Extended as a Flange and Gasketed on the Channel side ..................................................................................................... 73 2 E4.18.6 - Fixed Tubesheet Exchanger, Configuration b, Tubesheet Integral with Shell, Extended as a Flange and Gasketed on the Channel Side .................................................................................................... 75 E4.18.7 - Fixed Tubesheet Exchanger, Configuration a ................................................................................ 77 E4.18.8 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Gasketed, Not Extended as a Flange ..................................................................................................................................... 78 E4.18.9 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Integral....................80 E4.18.10 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Internally Sealed . 81 E4.19.1 - U-Shaped Un-reinforced Bellows Expansion Joint and Fatigue Evaluation ................................. 82 E4.19.2 - Toroidal Bellows Expansion Joint and Fatigue Evaluation ........................................................... 83 E4.20.1 - Tube-To-Tubesheet Welds - Full Strength Welds ......................................................................... 84 E4.20.2 - Tube-To-Tubesheet Welds - Partial Strength Welds ......................................................................86 E6.1 - Postweld Heat Treatment of a Pressure Vessel ................................................................................... 89 E6.2 - Out-of-Roundness of a Cylindrical Forged Vessel ............................................................................. 90 E7.1 - NDE: Establish Joint Efficiencies, RT-1 ............................................................................................ 91 E7.2 - NDE: Establish Joint Efficiencies, RT-2 ............................................................................................ 92 E7.3 - NDE: Establish Joint Efficiencies, RT-3 ............................................................................................ 93 E7.4 - NDE: Establish Joint Efficiencies, RT-4 ............................................................................................ 94 E8.1 - Determination of a Hydrostatic Test Pressure .................................................................................... 95 E8.2 - Determination of a Pneumatic Test Pressure ...................................................................................... 96 2.2 ASME Section VIII - Division 2 Example Problems (PTB-3-2013) ........................................................... 97 E3.1 - Use of MDMT Exemptions Curves .................................................................................................... 98 E3.2 - Use of MDMT Exemptions Curves with Stress Reduction ................................................................ 99 E4.1.2 - Determine Required Wall Thickness of Hemispherical Head .......................................................100 E4.1.3 - Determine Required Wall Thickness of Hemispherical Head - Higher Strength Material ............101 E4.2.1 - Nondestructive Examination Requirement for Vessel Design ....................................................... 102 E4.2.2 - Nozzle Detail and Weld Sizing ...................................................................................................... 103 E4.2.3 - Nozzle Detail with Reinforcement Pad and Weld Sizing .............................................................. 104 E4.3.1 - Cylindrical Shell ............................................................................................................................ 105 E4.3.2 - Conical Shell.................................................................................................................................. 106 E4.3.3 - Spherical Shell ............................................................................................................................... 107 E4.3.4 - Torispherical Head ........................................................................................................................ 108 E4.3.5 - Ellipsoidal Head ............................................................................................................................ 109 E4.3.6 - Combined Loadings and Allowable Stresses ................................................................................. 110 E4.3.7 - Conical Transitions Without a Knuckle ......................................................................................... 111 E4.3.8 - Conical Transitions With a Knuckle .............................................................................................. 113 E4.4.1 - Cylindrical Shell ............................................................................................................................ 114 E4.4.2 - Conical Shell.................................................................................................................................. 115 E4.4.3 - Spherical Shell and Hemispherical Head ....................................................................................... 116 E4.4.4 - Torispherical Head ........................................................................................................................ 117 E4.4.5 - Ellipsoidal Head ............................................................................................................................ 118 E4.4.6 - Combined Loadings and Allowable Stresses Cylindrical Shell ..................................................... 119 E4.4.7 - Conical Transitions Without a Knuckle ......................................................................................... 120 E4.5.1 - Radial Nozzle in Cylindrical Shell ................................................................................................ 123 E4.5.2 - Hillside Nozzle in Cylindrical Shell .............................................................................................. 124 E4.5.3 - Radial Nozzle in Ellipsoidal Head...................................................................................................125 E4.6.1 - Flat Unstayed Circular Heads Attached by Bolts .......................................................................... 126 E4.11.1 - Partial Jacket ................................................................................................................................ 127 E4.15.1 - Horizontal Vessel with Zick's Analysis ....................................................................................... 128 E4.15.2 - Vertical Vessel, Skirt Design ....................................................................................................... 129 E4.16.1 - Integral Type................................................................................................................................ 130 E4.16.2 - Loose Type .................................................................................................................................. 132 E6.1 - Post-weld Heat Treatment of a Pressure Vessel ............................................................................... 134 E6.2 - Out-of-Roundness of a Cylindrical Forged Vessel ........................................................................... 135 E8.1 - Determination of a Hydrostatic Test Pressure .................................................................................. 136 E8.2 - Determination of a Pneumatic Test Pressure .................................................................................... 137 3 2.3 Taylor Forge Examples ............................................................................................................................... 138 Example 1 - Welding Neck Flange Design ................................................................................................. 139 Example 2 - Slip on Flange Design - Flat Faced ......................................................................................... 140 2.4 ASCE 7-16 Figure C15.7-4 Buckling Example............................................................................................141 Figure C15.7-4 Example - Section VIII, Division 2, Paragraph 4.4 ............................................................ 142 2.5 ASME PCC-1 Examples...............................................................................................................................144 PCC-1 Appendix O-4.3 Example Calculation ............................................................................................. 145 3. References ............................................................................................................................................................. 146 Appendix A: Certification ......................................................................................................................................... 147 4 1. Introduction 1.1 Purpose of Document This document is a validation of calculations performed by COMPRESS against published example problems (see 1.3 below). It shall be used to assess that the software has sufficient coding quality and accurate mathematical calculations. Any discrepancies between COMPRESS and published example calculations are explained at the end of each problem. 1.2 Scope of Software COMPRESS is a software application that is used to model, calculate, and create detailed reports for pressure vessels and heat exchangers using the latest Edition of the ASME Boiler and Pressure Vessel Code. The purpose of this software program is to provide users with a powerful, accurate, and user-friendly tool that will enhance engineering productivity and simplify vessel design. 1.3 Published Examples Examples from several published manuals are included in this document. These include: ASME Section VIII - Division 1 Example Problem Manual (ASME PTB-42013), ASME Section VIII - Division 2 Example Problem Manual (ASME PTB-32013), and Taylor Forge Bulletin 502 Edition VII. 1.4 Intellectual Property Statement This document and its contents are considered to be proprietary. This material shall not be copied or distributed to other parties without the express written consent of Codeware, Inc. 5 2. Verification of Published Examples 6 2.1 ASME Section VIII - Division 1 Example Problems (PTB-4-2013) 7 E3.1 - Use of MDMT Exemptions Curves a. Division 1 Determine if impact testing is required for the proposed shell section. i. Comparison of results Parameter COMPRESS ASME Difference Governing thickness, tg (in) 1.8125 -7 1.8125 -7 0.00% 0.00% Yes Yes - MDMT (°F) Impact testing required per UCS-66(a)? Fig E3.1 Division 1 MDMT Comparison 8 E3.2 - Use of MDMT Exemptions Curves with Stress Reduction a. Division 1 Determine if impact testing is required for the proposed shell section. i. Comparison of results Parameter COMPRESS ASME Difference Governing thickness, tg (in) Coincident Ratio, Rts TR * (°F) 1.8125 0.801 19.9 -26.9 No 1.8125 0.801 20 -27 No 0.00% 0.00% 0.50% 0.37% - MDMT (°F) Impact testing required? Fig E3.2 Division 1 MDMT Reduction Comparison * In COMPRESS, the value of 𝑇𝑅 is interpolated from Fig. UCS-66.1, whereas in the example manual the value of 𝑇𝑅 is approximated from Fig. UCS-66.1. 9 E3.3 - Determine the MDMT for a Nozzle-to-Shell Welded Assembly a. Division 1 Determine if impact testing is required for the proposed nozzle assembly comprised of a shell and integrally reinforced nozzle. i. Comparison of results Parameter COMPRESS ASME Difference Governing thickness, tg (in) Coincident Ratio, Rts TR * (°F) MDMTShell **(°F) MDMTNozzleAssembly (°F) 1.8125 0.801 19.9 -26.9 39.1 Yes 1.8125 0.801 20 N/A 39 Yes 0.00% 0.00% 0.50% N/A 0.26% - Impact testing required? Fig E3.3 Division 1 MDMT Assembly Comparison * In COMPRESS, the value of 𝑇𝑅 is interpolated from Fig. UCS-66.1, whereas in the example manual the value of 𝑇𝑅 is approximated from Fig. UCS-66.1 ** In COMPRESS, the MDMT reduction is applied to both the shell and the nozzle assembly. As the final adjusted MDMT of the shell is -26.9 °F < -20 °F, only the nozzle assembly requires impact testing. The example manual considers the shell and nozzle assembly as a single welded assembly. 10 E4.1.2 - Determine Required Wall Thickness of Hemispherical Head a. Division 1 Determine the required thickness for a hemispherical head at the bottom of a vertical vessel. i. Comparison of results Parameter COMPRESS ASME Difference Padjusted (psig) 1673.13 2.155 1673.14 2.155 0.00% 0.00% t (in) Fig E4.1.2a Division 1 Hemispherical Head tr Comparison b. Code Case 2695* Determine the required thickness for a hemispherical head at the bottom of a vertical vessel. i. Comparison of results Parameter COMPRESS ASME Difference Padjusted (psig) 1673.13 2.1807 1673.14 2.1807 0.00% 0.00% t (in) Fig E4.1.2b CC 2695 Hemispherical Head tr Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 11 E4.2.1 - Nondestructive Examination Requirement for Vessel Design a. Division 1 Compare NDE requirements for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t Full RT (in) t Spot RT (in) 1.2414 1.4435 1.2413 1.4435 0.01% 0.00% Fig E4.2.1a Division 1 NDE Comparison b. Code Case 2695* Compare NDE requirements for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t Full RT (in) t Spot RT (in) 1.2371 1.4375 1.2371 1.4375 0.00% 0.00% Fig E4.2.1b CC 2695 NDE Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 12 E4.2.2 - Nozzle Detail and Weld Sizing a. Division 1 Determine the required fillet weld size of a set-in type nozzle as shown in Figure UW16.1(d). i. Comparison of results Parameter COMPRESS ASME Difference t c (in) 0.25 0.25 0.00% Fig E4.2.2a Division 1 Nozzle Weld Sizing Comparison b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 Division 2 Solution) Determine the required fillet weld size and inside corner radius of a set-in type nozzle as shown in Table 4.2.10, Detail 4. i. Comparison of results Parameter COMPRESS ASME Difference t c (in) 0.3571 0.357 0.03% Fig E4.2.2b Division 2 Nozzle Weld Sizing Comparison * In COMPRESS, the calculation for the minimum inside corner radius, 𝑟1, is not performed. 13 E4.2.3 - Nozzle Detail with Reinforcement Pad and Weld Sizing a. Division 1 Determine the required fillet weld sizes of a set-in type nozzle with added reinforcement pad as shown in Figure UW-16.1(q). i. Comparison of results Parameter COMPRESS ASME Difference Inner fillet t c (in) Outer fillet t w (in) Upper groove tw (in) Lower groove tw (in) 0.25 0.25 0.2625 0.2625 0.25 0.25 0.2625 0.2625 0.00% 0.00% 0.00% 0.00% Fig E4.2.3a Division 1 Nozzle with Pad Weld Sizing Comparison b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 E4.2.3 Division 2 Solution) Determine the required fillet weld sizes and inside corner radius of a set-in type nozzle with added reinforcement pad as shown in Table 4.2.11, Detail 2. i. Comparison of results Parameter inner fillet t c outer fillet t f1 (in) (in) COMPRESS ASME Difference 0.3571 0.4286 0.357 0.429 0.03% 0.09% Fig E4.2.3b Division 2 Nozzle with Pad Weld Sizing Comparison * In COMPRESS, the calculation for the minimum inside corner radius, 𝑟1, is not performed. 14 E4.3.1 - Cylindrical Shell a. Division 1 Determine the required thickness for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 0.9369 0.9369 0.00% Fig E4.3.1a Division 1 Cylindrical Shell tr Comparison b. Code Case 2695* Determine the required thickness for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 0.9354 0.9354 0.00% Fig E4.3.1b CC 2695 Cylindrical Shell tr Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 15 E4.3.2 - Conical Shell a. Division 1 Determine the required thickness for a conical shell. i. Comparison of results Parameter COMPRESS ASME Difference DL * (in) 150.2679 1.5734 150.25 1.5732 0.01% 0.01% t (in) Fig E4.3.2a Division 1 Conical Shell tr Comparison * The equation for the required cone thickness at the large end, 𝑡𝑟 , uses the large end diameter, 𝐷𝐿 . COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 150 + 2 ∗ = 150.2679 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual calculates 𝐷𝐿 using: 𝐷𝐿 = 𝐷 + 2(𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒) = 150 + 2(0.125) = 150.25 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. b. Code Case 2695** Determine the required thickness for a conical shell. i. Comparison of results Parameter COMPRESS ASME Difference DL * (in) 150.2679 21.0375 1.5707 150.25 21.0375 1.5705 0.01% 0.00% 0.01% α (degrees) t (in) Fig E4.3.2b CC 2695 Conical Shell tr Comparison * The equation for the required cone thickness at the large end, 𝑡𝑟 , uses the large end diameter, 𝐷𝐿 . COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 150 + 2 ∗ = 150.2679 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual calculates 𝐷𝐿 using: 𝐷𝐿 = 𝐷 + 2(𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒) = 150 + 2(0.125) = 150.25 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 16 E4.3.3 - Spherical Shell a. Division 1 Determine the required thickness for a spherical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 3.7265 3.7264 0.00% Fig E4.3.3a Division 1 Spherical Shell tr Comparison b. Code Case 2695* Determine the required thickness for a spherical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 3.7824 3.7824 0.00% Fig E4.3.3b CC 2695 Spherical Shell tr Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 17 E4.3.4 - Torispherical Head a. Division 1 Determine the maximum allowable working pressure (MAWP) for the proposed seamless torispherical head. i. Comparison of results Parameter COMPRESS ASME Difference M MAWP (psi) 1.750868 135.3 1.7509 135.3023 0.00% 0.00% Fig E4.3.4a Division 1 Torispherical Head MAWP Comparison b. Code Case 2695* Determine the maximum allowable working pressure (MAWP) for the proposed seamless torispherical head. i. Comparison of results Parameter D L r t βth φth Rth (in) (in) (in) (in) (rad) (rad) (in) C1 C2 C3 Peth (psi) Py (psi) G Pck (psi) Pak (psi) Pac (psi) Pa (psi) COMPRESS ASME Difference 72.25 72.125 4.5 0.5 1.0842 1.3345 36.125 0.4939 1.25 26,900 5352.44 98.83 54.1595 199.57 133.04 236.27 133.04 72.25 72.125 4.5 0.5 1.0842 1.3345 36.125 0.494 1.25 26,900 5353.9445 98.8274 54.1747 199.5671 133.0447 236.2694 133.0447 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% 0.00% 0.00% 0.03% 0.00% 0.03% 0.00% 0.00% 0.00% 0.00% Fig E4.3.4b CC 2695 Torispherical Head MAWP Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 18 E4.3.5 - Ellipsoidal Head a. Division 1 Determine the maximum allowable working pressure (MAWP) for the proposed seamless 2:1 Ellipsoidal head. i. Comparison of results Parameter COMPRESS ASME Difference K * (corroded) K (uncorroded) MAWP * (psi) 0.996322 1 443.86 N/A 1 442 N/A 0.00% 0.42% Fig E4.3.5a Division 1 Ellipsoidal Head MAWP Comparison * COMPRESS solves for K using corroded dimensions: 2 1 𝐷 2 1 90.25 𝐾 = (2 + ( ) ) = (2 + ( ) ) = 0.99632 6 2ℎ 6 2 ∗ 22.625 The example uses uncorroded dimensions D = 90 in and h = 22.5 in, where K = 1.0. This K value is used along with corroded dimensions to solve for MAWP. In COMPRESS, the corroded K value is used with corroded dimensions to solve for MAWP. 19 b. Code Case 2695** Determine the maximum allowable working pressure (MAWP) for the proposed seamless 2:1 Ellipsoidal head. i. Comparison of results Parameter COMPRESS ASME Difference k * D (in) L * (in) r * (in) t (in) βth (rad) φth (rad) Rth (in) C1 C2 Peth (psi) Py (psi) 1.9945 90.25 81.0056 15.405 1 1.1006 0.5842 49.581 0.7231 1.0162 43,275.72 1094.58 39.5362 2201.55 1467.7 490.76 490.76 2 90.25 81.125 15.425 1 1.1017 0.5839 49.6057 0.7233 1.0157 43,321.6096 1096.8927 39.4948 2206.1634 1470.8 490.0459 490.0459 0.28% 0.00% 0.15% 0.13% 0.00% 0.10% 0.05% 0.05% 0.03% 0.05% 0.11% 0.21% 0.10% 0.21% 0.21% 0.15% 0.15% G Pck (psi) Pak (psi) Pac (psi) Pa (psi) Fig E4.3.5b CC 2695 Ellipsoidal Head MAWP Comparison * The example solves for k, L, and r using uncorroded dimensions. COMPRESS solves for k, L, and r using corroded dimensions: 𝐷 90.25 = = 1.9945 2ℎ 2 ∗ 22.625 0.5 0.5 − 0.08) = 90.25 ( − 0.08) = 15.405 𝑖𝑛 𝑟 = 𝐷( 𝑘 1.9945 𝐿 = 𝐷(0.44𝑘 + 0.02) = 90.25(0.44 ∗ 1.9945 + 0.02) = 81.0056 𝑖𝑛 𝑘= These calculations account for differences shown above. ** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 20 E4.3.6 - Combined Loadings and Allowable Stresses Cylindrical Shell COMPRESS does not calculate the Division 1 solution as shown in the example manual. The Code Case 2695 solution is shown for this problem. a. Code Case 2695 Determine the maximum tensile stress of the proposed cylindrical shell section given the design conditions and specified applied loadings. i. Comparison of results Parameter COMPRESS** ASME Difference s1 (psi) s2 + (psi) s2 - (psi) s3 (psi) sT + (psi) sT - (psi) 14,458.00 7,389.00 6,449.00 -160.20 12,662.00 12,679.00 14,458.05 7,390.17 6,447.91 -160.20 12,662.10 12,679.20 0.00% 0.02% 0.02% 0.00% 0.00% 0.00% Fig E4.3.6a Code Case 2695 Combined Loadings Cylindrical Shell Comparison * In COMPRESS a vertical load of -66,152.5 lbs is applied to act as F5, a lateral force is applied to act as a bending moment, and wind code is active. A summary of the load cases can be viewed in the Settings Summary. See results below from the cylinder report under the Operating Hot & Corroded >> Wind >> Support Top load case. ** Rules for combined loads were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 21 E4.3.7 - Conical Transitions Without a Knuckle a. Division 1 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS ASME Difference t (in) tr * (in) Lmin (in) 1.4767 1.5734 22.5187 30 No 1.4767 1.5732 22.5187 30 No 0.00% 0.01% 0.00% 0.00% - D (deg) Reinforcement Required? Fig E4.3.7a Division 1 Conical Transition Without a Knuckle - Large end design * The equation for the required cone thickness at the large end, 𝑡𝑟 , uses the large end diameter, 𝐷𝐿 . COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 0.125 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 150 + 2 ∗ = 150.2679 𝑖𝑛 𝑐𝑜𝑠(21.0375) 𝑐𝑜𝑠(𝛼) The example manual calculates 𝐷𝐿 using: 𝐷𝐿 = 𝐷 + 2(𝐶𝑜𝑟𝑟𝑜s𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒) = 150 + 2(0.125) = 150.25 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ii. Comparison of Results- Small end Parameter COMPRESS ASME Difference t (in) tr * (in) Lmin (in) 0.9369 0.995 9.4045 11.73 8417.47 3.2317 6.2773 Yes 0.9369 0.9949 9.4045 11.73 8429.1122 3.2362 6.2772 Yes 0.00% 0.01% 0.00% 0.00% 0.14% 0.14% 0.00% - D (deg) Qs ** (lbf/in) Ars (in) Aes (in) Adequately reinforced? Fig E4.3.7a Division 1 Conical Transition Without a Knuckle - Small end design * The equation for the required cone thickness at the large end, 𝑡𝑟 , uses the small end diameter, 𝐷𝑆 . COMPRESS calculates 𝐷𝑆 for a transition using the following equation: 𝐷𝑠 = 𝐷 + 2 ∗ 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 90 + 2 ∗ = 90.2679 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) 22 The example manual calculates 𝐷𝑆 using: 𝐷𝑠 = 𝐷 + 2(𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒) = 90 + 2(0.125) = 90.25 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** 𝑄𝑠 is calculated using 𝑓2 , which COMPRESS calculates as: 𝑓2 = 𝑀𝑠 𝐹𝑠 ± 2 𝜋𝑅𝑚 2𝜋𝑅𝑚 where 𝑅𝑚 is calculated as: 𝑅𝑚 = (𝐷 + 2 ∗ (𝐶. 𝐴. )) + (𝑡 − 𝐶. 𝐴. ) (90 + 2 ∗ 0.125) + (1.125 − 0.125) = 2 2 = 45.625 𝑖𝑛 The example manual uses 𝑅𝑠 in the equation for 𝑓2 , as 𝑅𝑠 = 𝑅 + 𝐶. 𝐴. = 45 + 0.125 = 45.125 𝑖𝑛 Therefore, COMPRESS calculates 𝐴𝑟𝑠 as 3.2317 in2 and the example calculates 3.2362 in2. 23 b. Code Case 2695*** Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) ssm+ (psi) ssm- (psi) scqm+ (psi) scqm- (psi) scsm + (psi) scsm- (psi) Sps ** (psi) 3,258.00 3,815.00 7,981.00 7,620.00 2,863.00 3,431.00 7,426.00 7,090.00 67,200.00 Yes 3,258.64 3,815.69 7,980.48 7,619.12 2,862.31 3,430.40 7,425.26 7,088.96 60,000.00 Yes 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.01% 0.01% 12.00% - Adequately designed? Fig E4.3.7b CC 2695 Conical Transition Without a Knuckle - Large end design * 𝑅𝐿 is used in several steps of the Code Case 2695 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝐿 as: 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 𝑅𝐿 = 𝑅 + = 150 + = 75.1339 𝑖𝑛 𝑐𝑜𝑠(21.0375) 𝑐𝑜𝑠(𝛼) The example manual uses: 𝑅𝐿 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 75 + 0.125 = 75.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** Per ASME Section VIII, Division 2 paragraph 5.5.6.1(d), Sps is the larger of 3*S or 2*Sy at the design temperature: 𝑆𝑝𝑠 = max[3𝑆, 2𝑆𝑦 ] = max[3 ∗ 20,000, 2 ∗ 33,600] = 67,200 𝑝𝑠𝑖 where SDesignT = 20,000 psi and Sy,DesignT = 33,600 psi per ASME Section II-D, Table 1A. COMPRESS uses this value while the example manual shows Sps = 60,000 psi. *** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 24 ii. Comparison of Results- Small end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) ssm+ (psi) ssm- (psi) scqm+ (psi) scqm- (psi) scsm + (psi) scsm- (psi) Sps ** (psi) 22,475.00 20,980.00 8,429.00 7,088.00 21,094.00 19,658.00 4,545.00 3,813.00 67,200.00 Yes 22,500.78 20,900.58 8,429.11 7,084.44 21,078.72 19,678.70 4,545.96 3,810.57 60,000.00 Yes 0.11% 0.38% 0.00% 0.05% 0.07% 0.11% 0.02% 0.06% 12.00% - Adequately designed? Fig E4.3.7b CC 2695 Conical Transition Without a Knuckle - Small end design * 𝑅𝑆 is used in several steps of the Code Case 2695 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝑆 as: 𝑅𝑆 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 90 + = 45.1339 𝑖𝑛 𝑐𝑜𝑠(21.0375) 𝑐𝑜𝑠(𝛼) The example manual uses: 𝑅𝑠 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 45 + 0.125 = 45.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** Per ASME Section VIII, Division 2 paragraph 5.5.6.1(d), Sps is the larger of 3*S or 2*Sy at the design temperature: 𝑆𝑝𝑠 = max[3𝑆, 2𝑆𝑦 ] = max[3 ∗ 20,000, 2 ∗ 33,600] = 67,200 𝑝𝑠𝑖 where SDesignT = 20,000 psi and Sy,DesignT = 33,600 psi per ASME Section II-D, Table 1A. COMPRESS uses this value while the example manual shows Sps = 60,000 psi. *** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 25 E4.3.8 - Conical Transitions With a Knuckle a. Division 1 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results Parameter COMPRESS ASME Difference Pdesign *(psi) Pe *(psi) 285.38 N/A 67.7346 1.4006 0.6778 0.9749 280 285.3828 67.735 1.4006 0.6778 0.9749 1.92% N/A 0.00% 0.00% 0.00% 0.00% L (in) M tk (in) tc (in) Fig E4.3.8a Division 1 Conical Transition with Knuckle Design * COMPRESS does not calculate the knuckle design thickness for an ASME Section VIII, Division 1 vessel using the equivalent pressure (see paragraphs UG-32(h) and UG-32(c): P is the internal design pressure per UG-21). An equivalent pressure is calculated per Appendix 1-5(g) and U-2(g) for conical transitions without a knuckle and the half apex angle 𝛼 > 30°. The design pressure entered in COMPRESS is P = 285.38 psi to compare against the example manual. b. Code Case 2695 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results COMPRESS does not perform the calculations in ASME Section VIII, Division 2 paragraph 4.3.12 at this time. 26 E4.4.1 - Cylindrical Shell a. Division 1 Determine the maximum allowable external pressure (MAEP) for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference DO (in) 92.25 636 1 0.000192 2761.819 39.92 92.25 636 1 0.00019 2700 39 0.00% 0.00% 0.00% 1.05% 2.29% 2.36% L (in) t (in) A * B ** Pa (psi) Fig E4.4.1a Division 1 Cylindrical Shell MAEP Comparison *COMPRESS interpolates to find A. The example manual approximates A from Fig. G in Subpart 3 of ASME Section II-D. **COMPRESS uses logarithmic interpolation to determine B. The example manual approximates B from External Pressure Chart CS-2. 27 b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 Div 2 Solution E4.4.1) Determine the maximum allowable external pressure (MAEP) for a cylindrical shell. i. Comparison of results Parameter COMPRESS* ASME Difference L (in) t (in) Mx Ch Fhe * (psi) Fic (psi) 636 1 93.6459 0.0092 4512 4512 2 2255.76 48.91 636 1 93.6459 0.0092 4515.729 4515.729 2 2257.8645 48.9 0.00% 0.00% 0.00% 0.00% 0.08% 0.08% 0.00% 0.09% 0.02% FS FHA (psi) Pa (psi) Fig E4.4.1b Division 2 Cylindrical Shell MAEP Comparison *In COMPRESS, 𝐹ℎ𝑒 is calculated with the unrounded value found for 𝐶ℎ from ASME Section VIII, Division 2 eq. 4.4.22: 𝐶ℎ = 1.12 ∗ 𝑀𝑥−1.058 = 1.12 ∗ 93.6459−1.058 = .0091914262 𝐹ℎ𝑒 = 1.6 ∗ 𝐶ℎ ∗ 𝐸𝑦 ∗ 𝑡 𝐷𝑜 = 1.6 ∗ .0091914262 ∗ 28.3E6 ∗ 1/92.25 = ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 28 E4.4.2 - Conical Shell a. Division 1 Determine the maximum allowable external pressure (MAEP) for a conical shell. i. Comparison of results Parameter COMPRESS ASME Difference te (in) DL * (in) DS * (in) Le (in) 1.6917 154.1517 94.1517 62.8202 0.004225 16897.3858 247.25 1.6917 153.625 92.25 62.4 0.0045 17000 249.6 0.00% 0.34% 2.06% 0.67% 6.11% 0.60% 0.94% A ** B Pa (psi) Fig E4.4.2a Division 1 Conical Shell MAEP Comparison * The equation for the equivalent length of a conical head or section between lines of support, 𝐿𝑒 , uses the large and small end diameters, 𝐷𝐿 and 𝐷𝑠 . COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 𝑡 1.9375 = 150 + 2 ∗ = 154.1517 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example calculates 𝐷𝐿 as: 𝐷𝐿 = 𝐷 + 2(𝑈𝑛𝑐𝑜𝑟𝑟𝑜𝑑𝑒𝑑 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠) = 150 + 2(1.8125) = 153.625 𝑖𝑛 COMPRESS calculates 𝐷𝑆 for a transition using the following equation: 𝐷𝑆 = 𝐷 + 2 ∗ 𝑡 1.9375 = 90 + 2 ∗ = 94.1517 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example calculates 𝐷𝑆 as: 𝐷𝑆 = 𝐷 + 2(𝑈𝑛𝑐𝑜𝑟𝑟𝑜𝑑𝑒𝑑 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠) = 90 + 2(1.125) = 92.25 i𝑛 COMPRESS considers the half apex angle when calculating the thickness of the conical section instead of using the thickness of the cylindrical shell. ** COMPRESS interpolates to find A. The example manual approximates A from Fig. G in Subpart 3 of ASME Section II-D. 29 b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 Div 2 Solution E4.4.2) Determine the maximum allowable external pressure (MAEP) for a conical shell. i. Comparison of results Parameter COMPRESS* ASME Difference tc (in) 1.8125 21.0375 133.018 83.5703 7.6115 0.1308 80,714 33,395 1.6705 19,991 544.79 1.8125 21.0375 131.717 83.5703 7.649 0.1301 81,062.48 33,452.58 1.6693 20,039.88 551.5 0.00% 0.00% 0.99% 0.00% 0.49% 0.54% 0.43% 0.17% 0.07% 0.24% 1.22% α (degrees) Do * (in) L (in) Mx Ch Fhe (psi) Fic (psi) FS FHA (psi) Pa (psi) Fig E4.4.2b Division 2 Conical Shell MAEP Comparison * The equation for the outside diameter of a shell or head, 𝐷𝑂 , per ASME Section VIII, Division 2 paragraph 4.4.6.1 is: 𝐷𝑜 = 0.5(𝐷𝐿 + 𝐷𝑆 ) 𝑐𝑜𝑠(𝛼) COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 𝑡 1.9375 = 150 + 2 ∗ = 154.1517 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example calculates 𝐷𝐿 as: 𝐷𝐿 = 𝐷 + 2(𝑈𝑛𝑐𝑜𝑟𝑟𝑜𝑑𝑒𝑑 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠) = 150 + 2(1.8125) = 153.625 𝑖𝑛 COMPRESS calculates 𝐷𝑆 for a transition using the following equation: 𝐷𝑆 = 𝐷 + 2 ∗ 1.9375 𝑡 = 90 + 2 ∗ = 94.1517 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example calculates 𝐷𝑆 as: 𝐷𝑆 = 𝐷 + 2(𝑈𝑛𝑐𝑜𝑟𝑟𝑜𝑑𝑒𝑑 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠) = 90 + 2(1.125) = 92.25 𝑖𝑛 COMPRESS considers the half apex angle when calculating the thickness of the conical section instead of using the thickness of the cylindrical shell. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 30 E4.4.3 - Spherical Shell and Hemispherical Head a. Division 1 Determine the maximum allowable external pressure (MAEP) for a hemispherical head. i. Comparison of results Parameter COMPRESS ASME Difference t (in) Ro (in) 2.8125 77.3125 0.004547 15958.15 580.53 2.8125 77.3125 0.00455 15700 571.1 0.00% 0.00% 0.07% 1.64% 1.65% A * B ** Pa (psi) Fig E4.4.3a Division 1 Hemispherical Head MAEP Comparison *COMPRESS interpolates to find A. The example manual approximates A from Fig. G in Subpart 3 of ASME Section II-D. **COMPRESS uses logarithmic interpolation to determine B. The example manual approximates B from External Pressure Chart CS-2. b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 Div 2 Solution E4.4.3) Determine the maximum allowable external pressure (MAEP) for a hemispherical head. i. Comparison of results Parameter COMPRESS* ASME Difference t (in) Ro (in) Fhe (psi) Fic (psi) 2.8125 77.3125 79,396 40,391 1.891 21,360 1554.09 2.8125 77.3125 79,395.72 40,391.23 1.891 21,359.72 1554.1 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% FS FHA (psi) Pa (psi) Fig E4.4.3b Division 2 Hemispherical Head MAEP Comparison * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 31 E4.4.4 - Torispherical Head a. Division 1 Determine the maximum allowable external pressure (MAEP) for a torispherical head. i. Comparison of results Parameter COMPRESS ASME Difference t (in) Ro (in) 0.5 72.625 0.000861 8098.2799 81.02 55.7541 0.5 72.625 0.00086 8100 135.3 55.8 0.00% 0.00% 0.12% 0.02% 40.12% 0.08% A * B ** MEP *** (psi) Pa (psi) Fig E4.4.4a Division 1 Torispherical Head MAEP Comparison *COMPRESS interpolates to find A. The example manual approximates A from Fig. G in Subpart 3 of ASME Section II-D. **COMPRESS uses logarithmic interpolation to determine B. The example manual approximates B from External Pressure Chart CS-2. ***Per UG-33(a)(1), COMPRESS checks the minimum 𝑃𝑒 between 1) UG-33(a)(1)(a) and 2) UG-33(a)(1)(b). UG-33(a)(1)(a) takes into account a design factor of 1.67. The example manual uses the MAWP solved from E4.3.4 as P = 135.3 psi instead of: 𝑀𝐴𝑊𝑃𝑈𝐺−32𝑒 135.3 = = 81.02 𝑝𝑠𝑖 1.67 1.67 32 b. Division 2 (Repeated in Division 2 Manual: ASME PTB-3-2013 Div 2 Solution E4.4.4) Determine the maximum allowable external pressure (MAEP) for a torispherical head. i. Comparison of results Parameter COMPRESS* ASME Difference t (in) Ro (in) Fhe (psi) Fic (psi) 0.5 72.625 13709 13709 2 6854.56 94.38 0.5 72.625 13709.1222 13709.1222 2 6854.5611 94.4 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% FS FHA (psi) Pa (psi) Fig E4.4.4b Division 2 Torispherical Head MAEP Comparison * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 33 E4.4.5 - Ellipsoidal Head a. Division 1 Determine the maximum allowable external pressure (MAEP) for an Ellipsoidal head. i. Comparison of results Parameter COMPRESS ASME Difference Ko * Do (in) Ro * (in) 0.8786 92.25 81.0482 1 0.001542 13924.45 265.79 171.8045 0.9 92.25 83.025 1 0.00151 13800 442.2 166.2 2.38% 0.00% 2.38% 0.00% 2.12% 0.90% 39.89% 3.37% t (in) A B MEP ** (psi) Pa (psi) Fig E4.4.5a Division 1 Ellipsoidal Head MAEP Comparison * The example manual evaluates 𝐾𝑜 under the assumption that the 2:1 ratio is maintained at both the inner and outer surfaces. COMPRESS calculates the ratio as: 𝐷𝑜 𝐷𝑜 92.25 = = = 1.9524 2(ℎ𝑖 + 𝑡) 2ℎ𝑜 2 ∗ (22.5 + 1.125) Interpolating from Table UG-33.1, 𝐾𝑜 = 0.8786. 𝑅𝑜 is calculated using the interpolated 𝐾𝑜 value. **Per UG-33(a)(1), COMPRESS checks the minimum 𝑃𝑒 between 1) UG-33(a)(1)(a) and 2) UG-33(a)(1)(b). UG-33(a)(1)(a) takes into account a design factor of 1.67. The example uses the MAWP solved from E4.3.4 as P = 442.2 psi instead of: 𝑀𝐴𝑊𝑃𝑈𝐺−32𝑒 443.86 = = 265.79 𝑝𝑠𝑖 1.67 1.67 See MAEP calculation on ASME PTB-4-2013 E4.3.5 Division 1 COMPRESS Report. 34 b. Division 2 (Repeated in Div 2 Manual: ASME PTB-3-2013 Div 2 Solution E4.4.5) Determine the maximum allowable external pressure (MAEP) for an Ellipsoidal head. i. Comparison of results Parameter ho * (in) Do (in) KO * Ro * (in) t (in) Fhe (psi) Fic (psi) FS FHA (psi) Pa (psi) COMPRESS* 23.625 92.25 0.8793 81.1192 1 26,165.0 19,830.0 1.970 10,067.0 248.21 ASME Difference 23.0625 92.25 0.9005 83.0711 1 25,550.402 19,719.072 1.972 9,999.023 240.7 2.44% 0.00% 2.35% 2.35% 0.00% 2.41% 0.56% 0.12% 0.68% 3.12% Fig E4.4.5b Division 2 Ellipsoidal Head MAEP Comparison * The example evaluates ℎ𝑜 under the assumption that the 2:1 ratio is maintained at both the inner and outer surfaces. COMPRESS calculates ℎ𝑜 as: ℎ𝑜 = (ℎ𝑖 + 𝑡) = (22.5 + 1.125) = 23.625 𝑖𝑛 ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 35 E4.4.6 - Combined Loadings and Allowable Stresses Cylindrical Shell COMPRESS does not calculate the Division 1 solution as shown in the example manual. The Division 2 solution is shown for this problem. a. Division 2 (Repeated in Division 2 Manual ASME PTB-3-2013 Div 2 Solution E4.4.6) Determine the allowable compressive stresses of the proposed cylindrical shell section given the design conditions and specified applied loadings. i. Comparison of results Parameter COMPRESS***** ASME FHA (psi) Fxa (psi) Fca * (psi) Fba (psi) Fve (psi) Fva (psi) Fxha ** (psi) Fbha (psi) 2,256.00 20,156.00 713.00 21,816.00 37,839.00 9,116.00 706.00 1,559.00 2,257.86 20,155.97 18,672.43 21,817.83 37,843.77 9,116.56 1,710.25 1,560.23 4.4.12.2.h.3 Ratio *** 4.4.12.2.i.3 Ratio **** Adequately designed? 0.5515 0.0242 Yes 0.4041 0.0278 Yes Difference 0.08% 0.00% 96.18% 0.01% 0.13% 0.01% 58.72% 0.08% 36.48% 12.95% - Fig E4.4.6a Division 2 Combined Loadings Cylindrical Shell Comparison * COMPRESS uses updated equation in the 2017 Edition and later. ** Per ASME Section VIII, Division 2 paragraph 4.4.12.2.e.2, for 0.15 ≤ 𝜆𝑐 ≤ 1.2: "𝐹𝑥ℎ𝑎 is computed from the following equation and is evaluated using the equations in paragraph (1) with 𝑓𝑥 = 𝑓𝑎 , and 𝐹𝑐𝑎 evaluated using the equations in paragraph (b)(2)." The example manual solution states that 𝐹𝑥ℎ𝑎 should be evaluated using the equations in ASME Section VIII, Division 2 paragraph 4.4.12.2.e.1 with 𝐹𝑎ℎ1 = 𝐹𝑥ℎ𝑎 and 𝐹𝑎ℎ2 is evaluated per paragraph 4.4.12.2.e.2. The example manual also states 𝐹𝑐𝑎 is evaluated using the equation in paragraph 4.4.12.2.b.2 with 𝐹𝑥𝑎 = 𝐹𝑥ℎ𝑎 as determined in paragraph 4.4.12.2.e.1. In COMPRESS, 𝐹𝑥ℎ𝑎 is evaluated per paragraph 4.4.12.2.e.1 with 𝑓𝑥 = 𝑓𝑎 , as the Code states in paragraph 4.4.12.2.e.2. *** Per ASME Section VIII, Division 2 paragraph 4.4.12.2.h , the evaluation of the compressive axial and bending stresses, 𝑓𝑎 and 𝑓𝑏 , respectively, is determined using the following interaction equation (4.4.107): 𝑓𝑎 8 Δ𝑓𝑏 + ≤ 1.0 𝐾𝑠 𝐹𝑥ℎ𝑎 9 𝐾𝑠 𝐹𝑏ℎ𝑎 36 Per paragraph 4.4.2 due to the presence of a combination of design loads and wind loading, the allowable stress for 𝐹𝑏ℎ𝑎 may be increased by a factor of 1.2 in equations (4.4.106), (4.4.107), (4.4.108), (4.4.111), (4.4.112), and (4.4.113). In the example manual, 𝐹𝑏ℎ𝑎 is not increased by a factor of 1.2 and 𝐹𝑥ℎ𝑎= 1,710.25 psi, so the equation evaluates to 0.4041. In COMPRESS, the 1.2 factor is applied and 𝐹𝑥ℎ𝑎= 706 psi, so the equation evaluates to 0.5244. Both satisfy the combined load check. **** Per ASME Section VIII, Division 2 paragraph 4.4.12.2.i, the evaluation of the compressive axial and bending stresses, fa and fb, respectively, is determined using the following interaction equation (4.4.113): 𝑓𝑎 Δ𝑓𝑏 + ≤ 1.0 2𝐾𝑠𝐹c𝑎 𝐾𝑠𝐹𝑏𝑎 Per paragraph 4.4.2 due to the presence of a combination of design loads and wind loading, the allowable stress for Fba may be increased by a factor of 1.2 in equations (4.4.106), (4.4.107), (4.4.108), (4.4.111), (4.4.112), and (4.4.113). In the example manual, Fba is not increased by a factor of 1.2, so equation (4.4.113) evaluates to 0.0278. In COMPRESS, the 1.2 factor is applied and equation (4.4.113) evaluates to 0.0242. ***** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 37 E4.4.7 - Conical Transitions Without a Knuckle a. Division 1 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS ASME Difference Lmin (in) P/(Ss E1) * D (degrees) f1 ** (lbf/in) QL (lbf/in) 22.77030 0.000735 1.84 505.92 1,070.49 22.77030 0.00070 1.75 497.12 1,061.70 0.00% 5.00% 5.14% 1.77% 0.83% ArL (in2) 1.5794 1.5622 1.10% AeL (in ) Adequately reinforced? M (in) 32.1407 32.1407 0.00% Yes 393.7947 Yes 393.7947 0.00% ATL (in2) FL (lbf/in) B (psi) 693.5865 693.5865 0.00% 5,983.37 994.00 5,979.98 993.40 0.06% 0.06% I's (in4) 104.48 105.12 0.61% Adequately stiffened? No N/A ***See Note 2 Fig E4.4.7a Division 1 Conical Transition Without a Knuckle - Large end design 𝑃 𝑃 * COMPRESS calculates 𝑆 𝐸 = 0.000735 and the example manual calculates 𝑆 𝐸 = 𝑠 1 𝑃 𝑠 1 0.0007, rounding the value to the nearest ten thousandths place. Using to 𝑆 𝐸 𝑠 1 interpolate ∆ from Table 1-8.1, COMPRESS calculates ∆= 1.84° and the example manual calculates ∆= 1.75°. ** COMPRESS calculates 𝑓1 as: 𝑓1 = 𝐹𝐿 𝑀𝐿 ± 2 2𝜋𝑅𝑚 𝜋𝑅𝑚 where 𝑅𝑚 is calculated as: 𝑅𝑚 = (𝐷 + 2 ∗ (𝐶. 𝐴. )) + (𝑡 − 𝐶. 𝐴. ) (150 + 2 ∗ 0.125) + (1.8125 − 0.125) = 2 2 = 75.9688 𝑖𝑛 The example manual uses 𝑅𝐿 (instead of 𝑅𝑚 ) in the equation for 𝑓1 as: 𝑅𝐿 = 𝑅 + 𝑡 = 75 + 1.8125 = 76.8125 in 38 Therefore, COMPRESS calculates 𝐴𝑟𝐿 as 1.5794 in2 and the example manual calculates 𝐴𝑟𝐿 as 1.5622 in2 . *** In both ASME Section VIII, Division 1 and the example manual, there is no solution to calculate 𝐼 ′ , the available moment of inertia of the shell-cone or ring-shellcone junction. COMPRESS calculates 𝐼 ′ as: 𝐼 ′ = 𝐼𝑠ℎ𝑒𝑙𝑙 + 𝐼𝑐𝑜𝑛𝑒 where: 𝐼𝑠ℎ𝑒𝑙𝑙 = 𝐼𝑠ℎ𝑒𝑙𝑙(𝑦−𝑦) + 𝐴𝑠ℎ𝑒𝑙𝑙 ∗ 𝑥̅ 2 𝐿1 ∗ 𝑡𝑠 3 8.8555 ∗ (1.6875)3 𝐼𝑠ℎ𝑒𝑙𝑙(𝑦−𝑦) = = = 3.54662 𝑖𝑛4 12 12 𝐴𝑠ℎ𝑒𝑙𝑙 = 𝐿1 ∗ 𝑡𝑠 = 8.8555 ∗ 1.6875 = 14.94374 𝑖𝑛2 𝐿1 = 0.55√𝐷𝑜 𝑡𝑠 and 𝐼𝑐𝑜𝑛𝑒 = 𝐼𝑐𝑜𝑛𝑒(𝑦−𝑦) + 𝐴𝑐𝑜𝑛𝑒 ∗ (𝑥1 − 𝑥̅ )2 𝐼𝑐𝑜𝑛𝑒(𝑦−𝑦) = 𝐼𝑐𝑜𝑛𝑒(𝑦2−𝑦2) cos 𝛼 2 + 𝐼𝑐𝑜𝑛𝑒(𝑥2−𝑥2) sin 𝛼 2 𝐿2 3 ∗ 𝑡𝑐 𝐿2 ∗ 𝑡𝑐 3 2 = cos 𝛼 + sin 𝛼 2 12 12 9.488 ∗ 1.81253 9.4883 ∗ 1.8125 = cos 21.03752 + sin 21.03752 12 12 = 20.72589 𝐿1 cos 𝛼 = 𝐿2 ∗ 𝑡𝑐 = 9.488 ∗ 1.8125 = 17.19693 𝑖𝑛2 𝐿2 = 𝐴𝑐𝑜𝑛𝑒 𝐿1 8.8555 tan ∝ = tan 21.0375 = 1.702989 𝑖𝑛 2 2 𝐴𝑐𝑜𝑛𝑒 ∗ 𝑥1 17.194 ∗ 1.703 𝑆𝑢𝑚[𝐴 ∗ 𝑥] 𝑥̅ = = = = .911188 𝑖𝑛 𝑆𝑢𝑚[𝐴] 𝐴𝑐𝑜𝑛𝑒 + 𝐴𝑠ℎ𝑒𝑙𝑙 17.194 + 14.94374 𝑥1 = therefore: 𝐼𝑠ℎ𝑒𝑙𝑙 = 𝐼𝑠ℎ𝑒𝑙𝑙(𝑦−𝑦) + 𝐴𝑠ℎ𝑒𝑙𝑙 ∗ 𝑥̅ 2 = 3.54662 + 14.94374 ∗. 9111882 = 15.95 𝑖𝑛4 𝐼𝑐𝑜𝑛𝑒 = 𝐼𝑐𝑜𝑛𝑒(𝑦−𝑦) + 𝐴𝑐𝑜𝑛𝑒 ∗ (𝑥1 − 𝑥̅ )2 = 20.726 + 17.197 ∗ (1.703 − .911188)2 = 31.508 𝑖𝑛4 and 𝐼 ′ = 𝐼𝑠ℎ𝑒𝑙𝑙 + 𝐼𝑐𝑜𝑛𝑒 = 15.95 + 31.508 = 47.461 𝑖𝑛4 As 𝐼 ′ < 𝐼𝑠 , the available moment of inertia of the combined shell-cone cross section is not adequate. 39 ii. Comparison of Results- Small end Parameter COMPRESS ASME Difference Lmin (in) f2 * (lbf/in) QS (lbf/in) 9.50820 930.13 1,269.15 9.50810 913.00 1,252.02 0.00% 1.88% 1.37% Ars (in2) 1.1258 1.1106 1.37% Aes **(in2) Adequately reinforced? N (in) 10.4818 10.1129 3.65% Yes 362.3133 Yes 362.3133 0.00% ATS (in2) FS (lbf/in) B (psi) 393.9600 393.9615 0.00% 5,683.75 998.00 5,677.16 997.02 0.12% 0.10% I's (in4) 21.4901 21.5307 0.19% Adequately stiffened? No N/A ***See Note Fig E4.4.7a Division 1 Conical Transition Without a Knuckle - Small end design * COMPRESS calculates 𝑓2 as: 𝑓2 = 𝐹𝐿 𝑀𝐿 ± 2 2𝜋𝑅𝑚 𝜋𝑅𝑚 where 𝑅𝑚 is calculated as: 𝑅𝑚 = (𝐷 + 2 ∗ (𝐶. 𝐴. )) + (𝑡 − 𝐶. 𝐴. ) (90 + 2 ∗ 0.125) + (1.125 − 0.125) = 2 2 = 45.625 𝑖𝑛 The example manual uses 𝑅𝑠 (instead of 𝑅𝑚 ) in the equation for 𝑓2 , as 𝑅𝑠 = 𝑅 + 𝑡 = 45 + 1.125 = 46.125 𝑖𝑛 Therefore, COMPRESS calculates 𝐴𝑟𝑠 as 1.1258 in2 and the example calculates 1.1106 in2. **In the example, 𝐴𝑒𝑠 is calculated using: 𝐴𝑒𝑠 = 0.55√𝐷𝑠 𝑡𝑠 [(𝑡𝑠 − 𝑡) + (𝑡𝑐 − 𝑡𝑟 ) ] cos 𝛼 = 0.55√92.25 ∗ 1 [(1 − 0.6698) + (1.8125 − 0.3339) ] cos 21.0375 = 10.1129 𝑖𝑛2 where 𝑡𝑠 is the thickness of the shell at the small end, 𝑡𝑐 is the thickness of the cone at the small end, 𝑡 is the minimum required thickness of the shell, and 𝑡𝑟 is the minimum required thickness of the cone. The example does not show explicit calculations for these thicknesses, however the methods used in E4.4.1 and E4.4.2 are referenced. 40 In COMPRESS, 𝐴𝑒𝑠 is calculated as: 𝐴𝑒𝑠 = 0.55√𝐷𝑠 𝑡𝑠 [(𝑡𝑠 − 𝑡) + (𝑡𝑐 − 𝑡𝑟 ) ] cos 𝛼 = 0.55√92.25 ∗ 1 [(1 − 0.6685) + (1.8125 − 0.27) ] = 10.4818 𝑖𝑛2 cos 21.0375 where 𝑡 = 0.6685 in per UG-28(c) for the small end cylinder and 𝑡𝑟 = 0.27 in per UG33(f) for the small end conical section (see E4.4.1 and E4.4.2). The differences in thicknesses account for the difference in Aes. *** Neither ASME Section VIII, Division 1 or the example manual provide a solution to calculate 𝐼 ′ , the available moment of inertia of the shell-cone or ring-shell-cone junction. COMPRESS calculates 𝐼 ′ according to the step shown in E4.4.7(i), Note (***). To solve for 𝐼 ′ for the small cone-cylinder, use the small end dimensions. As 𝐼 ′ < 𝐼𝑠 , the available moment of inertia of the combined shell-cone cross section is not adequate. b. Code Case 2695*** Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) FHA (psi) ssm+ (psi) ssm- (psi) Fxa (psi) scqm+ (psi) scqm- (psi) FHA (psi) scsm + (psi) scsm- (psi) Fxa (psi) Sps ** (psi) -225.00 332.00 20,156.00 -271.00 -632.00 20,156.00 -210.00 358.00 20,156.00 -252.00 -588.00 20,156.00 67,200.00 Yes -224.74 332.31 20,156.00 -271.03 -632.39 20,156.00 -210.17 357.93 20,156.00 -252.16 -588.48 20,156.00 60,000.00 Yes 0.12% 0.09% 0.00% 0.01% 0.06% 0.00% 0.08% 0.02% 0.00% 0.06% 0.08% 0.00% 12.00% - Adequately designed? Fig E4.4.7b CC 2695 Conical Transition Without a Knuckle - Large end design 41 * 𝑅𝐿 is used in several steps of the Code Case 2695 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝐿 as: 𝑅𝐿 = 𝑅 + 0.125 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙l𝑜𝑤𝑎𝑛𝑐𝑒 = 150 + = 75.1339 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜s(21.0375) The example uses: 𝑅𝐿 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 75 + 0.125 = 75.125 𝑖𝑛 COMPRESS considers the half apex angle when calculating the corrosion of the conical section. ** Per ASME Section VIII, Division 2 paragraph 5.5.6.1(d), Sps is the larger of 3*S or 2*Sy at the design temperature. For this example, Sps is: 𝑆𝑝𝑠 = max[3𝑆, 2𝑆𝑦 ] = max[3 ∗ 20,000, 2 ∗ 33,600] = 67,200 𝑝𝑠𝑖 where SDesignT = 20,000 psi and Sy,DesignT = 33,600 psi per ASME Section II-D, Table 1A. COMPRESS uses this value while the example manual uses Sps = 60,000 psi. *** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 42 i. Comparison of Results- Small end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) FHA (psi) ssm+ (psi) ssm- (psi) Fxa (psi) scqm+ (psi) scqm- (psi) FHA (psi) scsm + (psi) scsm- (psi) Fxa (psi) Sps ** (psi) -467.00 -1,967.00 20,156.00 65.00 -1,279.00 20,156.00 -429.00 -1,868.00 20,156.00 38.00 -696.00 20,156.00 67,200.00 Yes -437.32 -2,037.52 20,156.00 65.19 -1,279.47 20,156.00 -440.12 -1,840.14 20,156.00 38.29 -697.10 20,156.00 60,000.00 Yes 6.79% 3.46% 0.00% 0.30% 0.04% 0.00% 2.53% 1.51% 0.00% 0.76% 0.16% 0.00% 12.00% - Adequately designed? Fig E4.4.7b CC 2695 Conical Transition Without a Knuckle - Small end design * 𝑅𝑆 is used in several steps of the Code Case 2695 solution for the small end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝑆 as: 𝑅𝑆 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 90 + = 45.1339 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example uses: 𝑅𝑆 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜s𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 45 + 0.125 = 45.125 𝑖𝑛 COMPRESS considers the half apex angle when calculating the corrosion of the conical section. ** Per ASME Section VIII, Division 2 paragraph 5.5.6.1(d), Sps is the larger of 3*S or 2*Sy at the design temperature. For this example, Sps is: 𝑆𝑝𝑠 = max[3𝑆, 2𝑆𝑦 ] = max[3 ∗ 20,000, 2 ∗ 33,600] = 67,200 𝑝𝑠𝑖 where SDesignT = 20,000 psi and Sy,DesignT = 33,600 psi per ASME Section II-D, Table 1A. COMPRESS uses this value while the example uses Sps = 60,000 psi. *** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 43 E4.4.8 - Conical Transitions With a Knuckle a. Division 1 Determine if the proposed design for the large end of a cylinder-to-cone junction with a knuckle is adequately designed considering the given conditions. i. Comparison of Results Parameter COMPRESS ASME Difference a * (deg) Lc (in) 31.8026 84.9779 131.1794 30 84.9779 134.7106 6.01% 0.00% 2.62% ATL (in2) FL (lbf/in) B (psi) 162.4890 162.4890 0.00% 2,018.02 1,136.00 2,063.96 1,162.25 2.23% 2.26% I's (in4) 17.64 17.75 0.63% Adequately Stiffened? Yes N/A **See Note M (in) Fig E4.4.8a Division 1 Conical Transition with Knuckle Design * The axial length of the cylinder, L, is given in the problem statement as L=73 in. If this value is used in COMPRESS for a transition with a knuckle, COMPRESS calculates 𝛼 as: 𝛼 = 90° − ∆ − 𝜙 Δ = tan−1( 𝑅−𝐴 𝑅 ) , 𝜙 = cos −1( ) 𝐵 𝑙 where 𝑅 = 𝑘𝑛𝑢𝑐𝑘𝑙𝑒 𝑖𝑛𝑠𝑖𝑑𝑒 𝑟𝑎𝑑𝑖𝑢𝑠 = 10 in 𝐴 = 𝑅𝐿 − 𝑅𝑠 = 61-17.5 = 43.5 in 𝑅𝐿 = outside radius of large cylinder , 𝑅𝑠 = outside radius of small cylinder 𝐵 = 𝑜𝑣𝑒𝑟𝑎𝑙𝑙 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑐𝑜𝑛𝑒 = 73 in 𝑙 = √(𝑅 − 𝐴)2 + 𝐵 2 therefore 𝑙 = √(10 − 43.5)2 + 732 = 80.3197 𝑖𝑛 10 − 43.5 ) = −24.651° 73 𝑅 10 𝜙 = cos−1 ( ) = cos −1( ) = 82.84798° 𝑙 80.3197 𝛼 = 90° − −24.651° − 82.84798° = 31.803° Δ = tan−1( 44 In the example manual, the angle 𝛼 = 30° and length L=73 in are design inputs given in the problem statement. The difference in 𝛼 affects subsequent calculations. ** Neither ASME Section VIII, Division 1 or the example provide a solution to calculate 𝐼 ′ , the available moment of inertia of the shell-cone or ring-shell-cone junction. COMPRESS calculates 𝐼 ′ according to the steps shown in E4.4.7(i), Note (***). Use the appropriate dimensions. As 𝐼 ′ > 𝐼𝑠 , the available moment of inertia of the combined shell-cone cross section is adequate. b. Code Case 2695 Determine if the proposed design for the large end of a cylinder-to-cone junction with a knuckle is adequately designed considering the given conditions. i. Comparison of Results COMPRESS does not perform the calculations in ASME Section VIII, Division 2 paragraph 4.3.12 at this time. 45 E4.5.1 - Radial Nozzle in Cylindrical Shell a. Division 1 Design an integral nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference tr (in) trn (in) LR (in) LH (in) 1.3517 0.1462 16.25 4.2188 1.3517 0.1462 16.25 4.2188 0.00% 0.00% 0.00% 0.00% A1 (in2) 5.4574 5.4568 0.01% 37.7899 37.7899 0.00% 21.9645 21.9651 0.00% Aavail (in ) 43.3879 43.3873 0.00% Adequately reinforced? Yes Yes - 2 A2 (in ) 2 A (in ) 2 Fig E4.5.1a Division 1 Nozzle-to-Shell Assembly Design Comparison * Note: COMPRESS uses the latter procedure shown in the example manual. The hub thickness section is defined as tn=4.625 in. b. Code Case 2695* Design an integral nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) LR (in) LH (in) 75.125 11.2594 7.8176 75.125 11.2594 7.8176 0.00% 0.00% 0.00% AT (in2) PL (psi) Pmax (psi) 55.2269 55.2269 0.00% 16026 444.28 Yes 16025.9281 444.28 Yes 0.00% 0.00% - Adequately reinforced? Fig E4.5.1b Code Case 2695 Nozzle-to-Shell Assembly Design Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 46 E4.5.2 - Hillside Nozzle in Cylindrical Shell a. Division 1 Design an integral hillside nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results- Normal to the Longitudinal Axis Parameter COMPRESS ASME Difference tr (in) trn (in) d (in) LR (in) LH (in) 1.3517 0.0708 8.868 8.868 4.2188 1.3517 0.0708 8.8679 8.8679 4.2188 0.00% 0.00% 0.00% 0.00% 0.00% A1 (in2) 8.9715 8.9712 0.00% A2 (in ) 14.9698 14.9698 0.00% A41 (in2) 0.1406 0.1406 0.00% A (in ) 5.9933 5.9934 0.00% Aavail (in2) 24.0819 24.0816 0.00% Adequately reinforced? Yes Yes - 2 2 Fig E4.5.2a Division 1 Hillside Nozzle Design Comparison- Normal to Longitudinal Axis ii. Comparison of results- Parallel to the Longitudinal Axis Parameter COMPRESS ASME Difference tr (in) trn (in) d (in) LR (in) LH (in) 1.3517 0.0708 7.87 7.87 4.2188 1.3517 0.0708 7.87 7.87 4.2188 0.00% 0.00% 0.00% 0.00% 0.00% A1 (in2) 2.6431 2.6427 0.02% 2 14.9698 14.9698 0.00% 2 0.1406 0.1406 0.00% 10.6376 10.6379 0.00% Aavail (in ) 17.7535 17.7531 0.00% Adequately reinforced? Yes Yes - A2 (in ) A41 (in ) 2 A (in ) 2 Fig E4.5.2a Division 1 Hillside Nozzle Design Comparison- Parallel to Longitudinal Axis 47 b. Code Case 2695** Design an integral hillside nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) Rnc (in) LR (in) LH (in) AT (in2) PL (psi) 75.125 3.935 7.87 4.382 21.4356 19115 444.28 Yes 75.125 3.935 7.87 4.382 21.4307 19114.7819 444.28 Yes 0.00% 0.00% 0.00% 0.00% 0.02% 0.00% 0.00% - Pmax (psi) Adequately reinforced? Fig E4.5.2b Code Case 2695 Hillside Nozzle Design Comparison * In the example manual the nozzle projection from the outside of the vessel wall, 𝐿𝑝𝑟1 , is given in the problem statement as 19.0610 in. In COMPRESS, 𝐿𝑝𝑟1 is calculated as: 𝐿𝑝𝑟1 = 𝑁𝑜𝑧𝑧𝑙𝑒 𝑃𝑟𝑜𝑗𝑒𝑐𝑡𝑖𝑜𝑛 − 𝐿𝑖 where 1 1 𝐷 + 𝑡 + 𝑃𝑟𝑜𝑗𝑒𝑐𝑡𝑖𝑜𝑛𝑔𝑖𝑣𝑒𝑛 = (150) + 1.8125 + 19.0610 2 2 = 95.8735 𝑖𝑛 𝑁o𝑧𝑧𝑙𝑒 𝑃𝑟𝑜𝑗𝑒𝑐𝑡𝑖𝑜𝑛 = 𝐿𝑖 = √𝑅𝑜 2 − 𝑚2 = √( 𝑚 = 𝑂𝑓𝑓𝑠𝑒𝑡 − 153.625 2 ) − 29.0952 = 71.089 𝑖𝑛 2 𝑅𝑛,𝑜 11.56 = 34.875 − = 29.095 𝑖𝑛 2 2 therefore 𝐿𝑝𝑟1 = 95.8735 − 71.089 = 24.7805 𝑖𝑛 𝐿𝑝𝑟1 is used in the equation to determine 𝐿𝐻 , the limit of reinforcement along the nozzle wall projecting outside the vessel surface, but does not have an effect on the result for this example. ** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 48 E4.5.3 - Radial Nozzle in Ellipsoidal Head a. Division 1 Design an integral radial nozzle centrally located in a 2:1 ellipsoidal head based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference K1 * tr (in) trn (in) LR (in) LH (in) 0.8975 0.7222 0.1046 11.63 2.1875 0.9 0.7242 0.1046 11.63 2.1875 0.28% 0.28% 0.00% 0.00% 0.00% A1 (in2) 1.7773 1.7538 1.34% 2 A2 (in ) 8.9705 8.9705 0.00% 2 0.1406 0.1406 0.00% A (in ) 8.399 8.4224 0.28% Aavail (in2) 10.8884 10.8649 0.22% Adequately reinforced? Yes Yes - A41 (in ) 2 Fig E4.5.3a Division 1 Radial Nozzle in Ellipsoidal Head Comparison * The example evaluates 𝑡𝑟 using 𝐾1 = 0.9, where it is assumed that the 2:1 ratio is maintained at both the inner and outer surfaces. COMPRESS considers corroded values when evaluating 𝐾1 : 𝐷 90.25 = = 1.9944 2ℎ 2(22.625) Interpolating from Table UG-37, 𝐾1 = 0.8975. 49 b. Code Case 2695* Design an integral radial nozzle centrally located in a 2:1 ellipsoidal head based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) LR (in) LH (in) AT (in2) PL (psi) 80.9262 8.4149 3.4572 14.8837 16,552 430.17 Yes 80.9262 8.4149 3.4574 14.884 16,551.54 430.1715 Yes 0.00% 0.00% 0.01% 0.00% 0.00% 0.00% - Pmax (psi) Adequately reinforced? Fig E4.5.3b CC2695 Radial Nozzle in Ellipsoidal Head Comparison * Code Case 2695 moved to Appendix 46 in the 2019 Edition. 50 E4.5.4 - Radial Nozzle in Cylindrical Shell a. Division 1 Check the design of an integral radial nozzle in a cylindrical shell based on the given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference tr (in) trn (in) tw,groove (in) tw,fillet (in) LR (in) LH (in) 1.8328 0.2917 0.525 0.375 16.125 4.8438 1.8328 0.2917 0.525 0.375 16.125 4.8438 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% A1 (in2) 1.6883 1.6883 0.00% 31.3968 13.5218 See Note 0.5625 0.5625 0.00% N/A 17.875 See Note 29.5539 29.5539 0.00% 33.6476 33.6476 0.00% Yes 147,859.30 171,102.13 318,961.43 Yes Yes 147,313.70 171,224.70 318,538.40 Yes 0.37% 0.07% 0.13% - 2 A2 * (in ) 2 A41 (in ) 2 A5 (in ) 2 A (in ) 2 Aavail (in ) Adequately reinforced? GWS **(lbs) FWS **(lbs) Path1-1 (lbs) Weld Strength Acceptable? Fig E4.5.4a Division 1 Radial Nozzle in a Cylindrical Head Comparison * COMPRESS calculates the Area of Reinforcement for integrally reinforced nozzles (Type 6, 9, and 10) using 𝐴2 as the complete external projection area of the nozzle and 𝐴5 = 0. See commentary in the example manual for problem E4.5.1. ** In the example manual, the Mean Diameter of the Weld used in the Groove Weld Shear calculation is 16.875 in. In COMPRESS, corrosion is considered and this value is calculated as: (16.125 + (16 + 2 ∗ .875)) = 16.9375 𝑖𝑛 2 Also, the Sfws value used in the Fillet Weld Shear calculation is shown as 5,590 psi in the example manual. This value should be 5,586 psi. 𝑀𝑒𝑎𝑛 𝐷𝑖𝑎𝑚 𝑓𝑜𝑟 𝐺𝑊𝑆 = 51 E4.5.5 - Pad Reinforced Radial Nozzle in Cylindrical Shell a. Division 1 Check the design of a radial nozzle in a cylindrical shell based on the given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference tr (in) trn (in) UG45 t (in) tc,inner fillet (in) tw,outer fillet (in) tw,outer (in) tw,finner (in) stotal (psi) LR (in) LH (in) 1.5578 0.2799 0.5781 0.25 0.375 0.35 0.35 3,537.00 15 2.75 1.5578 0.2799 0.578 0.25 0.375 0.35 0.35 3,537.00 15 2.75 0.00% 0.00% 0.02% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% A1 (in2) 2.8824 2.883 0.02% A2 (in ) 1.2106 1.2106 0.00% A41 (in2) 2 0.1406 0.1406 0.00% 2 0.7656 0.7656 0.00% 2 18.375 18.375 0.00% 23.3676 23.367 0.00% 23.3742 23.3748 0.00% Yes 377,398.69 254,365.33 356,201.58 Yes 377,398.70 254,365.30 356,201.60 0.00% 0.00% 0.00% Yes Yes - A42 (in ) A5 (in ) 2 A (in ) 2 Aavail (in ) Adequately reinforced? Path1-1 (lbs) Path1-2 (lbs) Path1-3 (lbs) Weld Strength Acceptable per UG-41(b)(2)? Fig E4.5.5a Division 1 Pad Reinforced Nozzle in Cylindrical Shell Comparison * In COMPRESS, the equation for 𝑡𝑏1 includes corrosion allowance for the 2nd term: 𝑡𝑏1 = max[trE=1 + C. A. , tUG−16b + C. A. ] = 1.8078 𝑖𝑛 where 𝑡𝑈𝐺−16𝑏 = 0.0625 in, t rE=1 = 1.5578 in, and C.A. = 0.25 in. The example manual does not include corrosion in the t UG−16b term. This does not affect the results for this example. 52 E4.5.6 - Radial Nozzle in an Ellipsoidal Head with Inside Projection a. Division 1 Check the design of a radial nozzle centrally located in a 2:1 ellipsoidal head based on the given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference tr (in) trn (in) t1,2 (in) t1+2,min (in) LR (in) LH = Li (in) 0.0912 0.0512 0.1312 0.2344 8.125 0.4688 0.0912 0.0512 0.1313 0.2344 8.125 0.4688 0.00% 0.00% 0.08% 0.00% 0.00% 0.00% A1 (in2) 0.7673 0.7673 0.00% 2 0.1278 0.1278 0.00% 2 A3 (in ) 0.1607 0.1607 0.00% 2 0.0429 0.0429 0.00% 2 0.0429 0.0429 0.00% 0.7553 0.7553 0.00% 1.1416 1.1416 0.00% Yes 47,542.11 39,831.47 Yes Yes 47,542.10 39,831.40 Yes 0.00% 0.00% - A2 (in ) A41 (in ) A43 (in ) 2 A (in ) 2 Aavail (in ) Adequately reinforced? Path1-1 (lbs) Path1-2 (lbs) Weld Strength Acceptable? Fig E4.5.6a Division 1 Nozzle in Ellipsoidal Head with Inside Projection Comparison 53 E4.6.1 - Flat Unstayed Circular Heads Attached by Bolts a. Division 1 Determine the required thickness for a heat exchanger blind flange. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wg (lbs) 111,275.41 237,598.78 0.30 1.6522 0.9432 1.6522 111,329.50 237,626.30 0.30 1.6523 0.9433 1.6523 0.05% 0.01% 0.00% 0.01% 0.01% 0.01% C t o (in) t g (in) t (in) Fig E4.6.1a Division 1 Flat Unstayed Circular Heads Attached by Bolts Comparison *The example manual shows tg = 0.9943 in. This value should be shown as tg = 0.9433 in. ** See E4.16.1 for flange calculations. b. Code Case 2695*** Determine the required thickness for a heat exchanger blind flange. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wg (lbs) 111,285.07 237,635.04 0.30 1.6522 0.9433 1.6522 111,329.50 237,626.30 0.30 1.6523 0.9433 1.6523 0.04% 0.00% 0.00% 0.01% 0.00% 0.01% C t o (in) t g * (in) t (in) Fig E4.6.1b Code Case 2695 Flat Unstayed Circular Heads Attached by Bolts Comparison *The example manual shows tg = 0.9943 in. This value should be shown as tg = 0.9433 in. ** See E4.16.1 for flange calculations. ** The example manual shows the design rules per ASME Section VIII, Division 1 paragraphs UG-34 and Appendix 2, however the rules are the same as those provided in ASME Section VIII, Division 2 paragraph 4.6. *** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 54 E4.6.3 - Integral Flat Head with a Centrally Located Opening a. Division 1 Determine if the stresses in the integral flat head with a centrally located opening are within acceptable limits. i. Comparison of results Parameter COMPRESS ASME Difference SH (psi) SR (psi) ST (psi) 52,372 8,283 20,570 52,287 8,277 20,582 0.16% 0.07% 0.06% (Eθ)* (psi) MH (psi) X1 SHS (psi) SRS (psi) STS (psi) 269,805 1,793,573.7 0.376 21,665 7,670 3,283 14,667 12,474 19,676 3,112 9,349 11,394 14,513 269,584 1,792,262 0.376 21,621 7,663 3,286 14,642 12,454 19,672 3,114 9,362 11,393 14,517 0.08% 0.07% 0.08% 0.20% 0.09% 0.09% 0.17% 0.16% 0.02% 0.06% 0.14% 0.01% 0.03% (SHS+ SRS) / 2 (psi) (SHS+ STS) / 2 (psi) SHO (psi) SRO (psi) STO (psi) (SHO+ SRO) / 2 (psi) (SHO+ STO) / 2 (psi) Fig E4.6.3a Division 1 Integral Flat Head with a Centrally Located Opening Comparison 55 E4.7.1 - Thickness Calculation for a Type D Head a. Division 1 Determine if the proposed Type D spherically dished bolted cover, used in a heat exchanger application, is adequately designed considering the following design conditions. i. Comparison of results Parameter COMPRESS ASME Difference tr,head (in) Pa *(psi) 0.4174 631.89 16.25 16.25 16.6875 0.7188 50,191.8 6,180.8 101,931.1 19,611.8 28,082.6 30,580.0 -21,901.8 0.0 0.4174 629.63 16.25 16.1875 16.625 0.75 50,450.4 4,107.1 106,192.5 19,611.8 28,082.6 30,838.6 -23,975.5 0.0 0.00% 0.36% 0.00% 0.39% 0.38% 4.16% 0.51% 50.49% 4.01% 0.00% 0.00% 0.84% 8.65% 0.00% Jgs (in2) Tgs (in) Fo,int (in) 3.8543 4.0154 4.01% 2.2132 0.2117 2.2539 0.2117 1.81% 0.00% Jo,int (in2) To,int (in) Fo,ext (in) 1.1563 1.1661 0.84% 1.5577 0.3031 1.5621 0.3031 0.28% 0.02% Jo,ext (in2) To,ext (in) 0.8282 0.9066 8.65% 1.5124 2.2132 1.5517 2.2539 2.53% 1.81% Flange ID (in) Gasket ID **(in) G ** (in) hG (in) Mo,int, App 2 (in-lbf) Mo,ext, App 2 (in-lbf) Mgs, App 2 (in-lbf) Mr,int (in-lbf) Mr,ext (in-lbf) Mo,tubeside (in-lbf) Mo,shellside (in-lbf) Fgs (in) T Fig E4.7.1a Division 1 Spherically Dished Cover Comparison * The example manual solution shows Pa = 544.4 psi. This should be 629.63 psi based on the equation and values shown. ** The example manual states the gasket inner diameter is 16.1875 in, but uses the flange inner diameter as 16.25 in. In COMPRESS, the gasket inner diameter must be greater than or equal to the flange inner diameter. The example was modeled in COMPRESS using Gasket ID = Flange ID = 16.25 in 56 E4.11.1 - Partial Jacket a. Division 1 Design a partial jacket to be installed on the outside diameter of a section of a tower. i. Comparison of results Parameter Rj (in) ts (in) Rs (in) trj (in) jspecified (in) j (in)* trc (in)** Y (in)*** Z (in)**** COMPRESS 48.125 0.875 46.0 0.4876 2.125 3.6174 1.3357 1.6786 - ASME 48.125 0.875 46.0 0.4876 2.125 3.5549 1.3634 1.3125 0.875 Difference 0.00% 0.00% 0.00% 0.00% 0.00% 1.73% 2.03% 21.81% - Fig E4.11.1 Division 1 Partial Jacket Comparison * The example manual uses tj = 0.5”. This value should consider corrosion and use tj = 0.375”. ** The example manual incorrectly uses Rj = 48.125” instead of Rs = 46” in the calculation of trc. *** The example manual does not consider jacket corrosion on the inner fillet weld. Additionally, the governing shell thickness value should consider the vessel shell thickness at the outer weld location, ts = 1". **** COMPRESS determines the minimum required weld size for each weld individually. 57 E4.12.1 - Unreinforced Vessel of Rectangular Cross Section Design a rectangular vessel per Appendix 13, Fig. 13-2(a) Sketch (1). i. Comparison of results Parameter Lv /h* em eb ci (in) co (in) 3 I1 (in ) I2 (in3 ) 𝛼 K Sms (psi) SbNi (psi) SbNo (psi) SbsQi (psi) SbsQo (psi) Sml (psi) SbNi (psi) SbNo (psi) SbsQi (psi) SbsQo (psi) STNi (psi) STNo (psi) STsQi (psi) STsQo (psi) STMi STMo STlQi STlQo (psi) (psi) (psi) (psi) ASME Difference 4.2368 4.21 0.5818 0.5818 0.5818 0.5818 0.63% 0.00% 0.4375 0.4375 0.00% 0.4375 0.0558 0.0558 0.7763 0.7763 0.4375 0.0558 0.0558 0.7763 0.7763 2,171 -1,831 1,831 19,482 -19,482 2,898 -27,299 27,299 19,482 -19,482 341 2,171.4 -1,831.7 1,831.7 19,490.8 -19,490.8 2,897.4 -27,310.9 27,310.9 19,490.8 -19,490.8 339.7 4,002 21,653 -17,310 -24,401 30,197 22,379 4,003.1 21,662.2 -17,319.4 -24,413.5 30,208.3 22,388.2 -16,593.4 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% 0.04% 0.04% 0.05% 0.05% 0.02% 0.04% 0.04% 0.05% 0.05% 0.38% 0.03% 0.04% 0.05% 0.05% 0.04% 0.04% 0.06% COMPRESS -16,584 0.00% Fig E4.12.1 Division 1 Unreinforced Vessel of Rectangular Cross Section Comparison * COMPRESS includes corrosion in both Lv and h when calculating the aspect ratio. The example problem only considers corrosion in the h value. 58 E4.15.1 - Horizontal Vessel with Zick's Analysis This example was modeled in COMPRESS with Code Case 2695 active to compare results with the Division 2 procedure shown in the example manual. a. Code Case 2695** Determine if the stresses in the horizontal vessel induced by the proposed saddle supports are within acceptable limits. i. Comparison of results Parameter COMPRESS ASME Difference M1 * (in-lbf) M2 * (in-lbf) s1 (psi) s2 (psi) s3 (psi) s4 (psi) T (lbs) t2 (psi) x1, x2 (in) s6 (psi) s7 (psi) Fh (lbs) -371,880.3 1,388,595.9 11,230.0 11,539.0 11,755.0 11,178.0 33,532.9 415.00 7.4302 -58.00 -653.00 10544.90 -356,913.7 1,414,775.7 11,227.2 11,541.7 11,740.5 11,186.4 33,746.5 417.60 7.4302 -57.50 -653.40 10545.10 4.19% 1.85% 0.02% 0.02% 0.12% 0.08% 0.63% 0.62% 0.00% 0.87% 0.06% 0.00% Fig E4.15.1 Code Case 2695 Horizontal Vessel with Zick's Analysis Comparison * The example manual uses invalid dimensions, specifically for ho and t. In order to model the vessel in COMPRESS with similar dimensions, Rating mode was used with t = 3 in and ho = 18 in. The example uses ho = 16.5 in based on the outer diameter Do= 66 in using the 2:1 head ratio: 2= 𝐷𝑜 𝐷𝑜 66 → ℎ𝑜 = = = 16.5 𝑖𝑛 2ℎ𝑜 4 4 ℎ = ℎ𝑜 − 𝑡 = 16.5 − 3 = 13.5 𝑖𝑛 𝐷 → 𝐷 = 4ℎ = 4 ∗ 13.5 = 54 𝑖𝑛 2ℎ COMPRESS calculates ho as: 2= 𝐷 𝐷 60 → ℎ= = = 15 𝑖𝑛 2ℎ 4 4 ℎ𝑜 = ℎ + 𝑡 = 15 + 3 = 18 𝑖𝑛 2= This difference affects the stress calculations for the vessel. ** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 59 E4.15.2 - Vertical Vessel, Skirt Design This problem has been modeled using ASME Section VIII, Division 1 with Code Case 2695 active. a. Code Case 2695 Determine if the proposed cylindrical vessel skirt is adequately designed considering the given loading conditions. i. Comparison of results Parameter COMPRESS** ASME Difference ssm, tension (psi) ssm , compression (psi) Fxa (psi) 528.00 -3,421.00 15,144.00 Yes 528.20 -3,421.00 15,143.90 Yes 0.04% 0.00% 0.00% - Stress acceptance satisfied? Fig E4.15.2 Code Case 2695 Vertical Vessel with Skirt Design Comparison * The example manual uses Load Case 6 per Table 4.1.2 due to dead load, wind load, and live load. COMPRESS does not evaluate live loads, deflagration loads, or snow loads. The problem was modeled in COMPRESS using an axial force F6=-427,775 lbs and a bending moment from a lateral force M6 = 21,900,435 in-lbf. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 60 E4.16.1 - Integral Type a. Division 1 Determine if the stresses in the heat exchanger girth flange are within acceptable limits, considering the given design conditions. i. Comparison of results Parameter COMPRESS ASME Difference hT (lbf) hG (lbf) hD (lbf) HD (lbf) H (lbf) HP (lbf) HT (lbf) Wm1 (lbf) Wm2 (lbf) 1.6875 0.8750 2.1563 73,023.40 92,224.74 19,050.66 19,201.35 111,275.41 142,997.56 1.6875 0.8750 2.1563 73,060.40 92,271.50 19,057.98 19,211.10 111,329.50 143,052.50 0.00% 0.00% 0.00% 0.05% 0.05% 0.04% 0.05% 0.05% 0.04% Am1 (in2) 4.451 4.4532 0.05% 5.7199 5.7221 0.04% 13.288 13.288 0.00% 237,598.77 3.5294 206,528.30 207,898.90 0.7419 2.20 17.0787 0.9362 17,781.0 6,151.0 5,548.0 17,899.0 6,192.0 5,585.0 Yes 0.8358 0.7448 237,626.30 3.5294 206,634.60 207,923 0.7419 2.20 17.0665 0.9362 17,789.3 6,153.9 5,553.8 17,900.3 6,192.0 5,588.3 Yes 0.8319 0.7403 0.01% 0.00% 0.05% 0.01% 0.00% 0.00% 0.07% 0.00% 0.05% 0.05% 0.10% 0.01% 0.00% 0.06% 0.47% 0.61% 2 Am2 (in ) 2 Ab (in ) W (lbf) Bsmax (in) Mo (in-lbf) Mg (in-lbf) h/ho g/go d (in3) L SH (oper) (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Stress acceptance satisfied? Jo *** Jg *** Fig E4.16.1a Division 1 Integral Type Flange Design Comparison 61 𝜋 * The example manual uses 4 in the bolt load and flange design equations even though 0.785 is specified per ASME Section VIII, Division 1 Appendix 2. COMPRESS uses 0.785. *** Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. 62 b. Code Case 2695**** Determine if the stresses in the heat exchanger girth flange are within acceptable limits, considering the given design conditions. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wgs (lbs) 111,285.07 143,070.09 111,329.50 143,052.50 0.04% 0.01% Am (in2) 5.7228 5.7221 0.01% Ab (in2) Wg (lbs) HD (lbf) H (lbf) HT (lbf) HG (lbf) hT (lbf) hG (lbf) hD (lbf) Bsmax (in) Mo (in-lbf) Mg (in-lbf) F ** 13.288 13.288 0.00% 237,635.04 73,023.40 92,224.74 19,201.35 19,060.32 1.6875 0.8750 2.1563 3.5294 206,536.80 207,930.70 0.7695 0.2687 0.9368 17,769.0 6,152.0 5,546.0 17,889.0 6,194.0 5,584.0 Yes 0.836 0.7451 237,626.30 73,060.40 92,271.50 19,211.10 19,058.00 1.6875 0.8750 2.1563 3.5294 206,634.60 207,923 0.7677 0.2680 0.9362 17,789.3 6,153.9 5,553.8 17,900.3 6,192.3 5,588.3 Yes 0.8319 0.7403 0.00% 0.05% 0.05% 0.05% 0.01% 0.00% 0.00% 0.00% 0.00% 0.05% 0.00% 0.23% 0.26% 0.06% 0.11% 0.03% 0.14% 0.06% 0.03% 0.08% 0.49% 0.65% e ** (in-1 ) L ** SH (oper) (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Stress acceptance satisfied? Jo *** Jg *** Fig E4.16.1b Code Case 2695 Integral Type Flange Design Comparison 𝜋 * The example manual uses 4 in the flange force equations even though 0.785 is specified per ASME Section VIII, Division 1 Appendix 2. COMPRESS uses 0.785. ** The example manual shows the solution for F, and thus e and L, using ASME Section VIII, Division 1 Appendix 2. In COMPRESS with Code Case 2695 active, F is interpreted using ASME Section VIII, Division 2 Table 4.16.5 so F = 0.7695. The 63 example shows F per ASME Section VIII, Division 2 Table 4.16.5 as 0.7695, however this value is not used in subsequent calculations. This causes differences shown in the stress calculations. *** Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. **** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 64 E4.16.2 - Loose Type a. Division 1 Determine if the stresses in the ASME B16.5, Class 300, NPS 20 Slip-on Flange are within acceptable limits given the design data. i. Comparison of results Parameter COMPRESS ASME Difference hT (lbf) hG (lbf) hD (lbf) HD (lbf) H (lbf) HP (lbf) HT (lbf) Wm1 (lbf) Wm2 (lbf) 2.9081 2.4161 3.4 144,140.13 173,591.06 44,303.39 29,450.93 217,894.46 61,532.49 2.9081 2.4161 3.4 144,213.20 173,679.10 44,325.87 29,465.90 218,005.00 61,563.70 0.00% 0.00% 0.00% 0.05% 0.05% 0.05% 0.05% 0.05% 0.05% Am1 (in2) 8.7158 8.7202 0.05% 2.4613 2.4625 0.05% 22.296 22.296 0.00% 387,647.23 8.3560 682,762.70 936,594.50 0.2302 1.00 5.4641 4.1032 3,864.0 4,080.0 17,278.0 5,301.0 5,596.0 23,701.0 No 1.6486 2.0021 387,702.50 8.3560 683,110.50 936,728 0.2302 1.00 5.4642 4.1032 3,866.4 4,082.0 17,286.6 5,301.9 5,597.5 23,704.6 No 1.6399 1.9887 0.01% 0.00% 0.05% 0.01% 0.00% 0.00% 0.00% 0.00% 0.06% 0.05% 0.05% 0.02% 0.03% 0.02% 0.53% 0.67% 2 Am2 (in ) 2 Ab (in ) W (lbf) Bsmax (in) Mo (in-lbf) Mg (in-lbf) h/ho g/go d (in3) L SH (oper) (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Stress acceptance satisfied? Jo ** Jg ** Fig E4.16.2a Division 1 Loose Type Flange Design Comparison * The example manual uses a flange thickness of 2.44 in, which is less than the minimum required flange thickness per Appendix 2. This problem was modeled in 65 Rating mode with t = 2.44 in and in Design mode with t = 3.5 in. The results shown above were determined in Rating mode. 𝜋 * The example manual uses 4 in the flange force equations even though 0.785 is specified per ASME Section VIII, Division 1 Appendix 2. COMPRESS uses 0.785. ** Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. 66 b. Code Case 2695**** Determine if the stresses in the ASME B16.5, Class 300, NPS 20 Slip-on Flange are within acceptable limits given the design data. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wgs (lbs) 217,916.93 61,563.70 218,005.00 61,563.70 0.04% 0.00% Am (in2) 8.7167 8.7207 0.05% 22.296 22.296 0.00% 387,658.47 144,213.20 173,679.10 29,465.90 44,325.90 2.9081 2.4161 3.4000 8.3560 682,816.90 936,621.60 3.2560 0.5996 4.0848 3,882.0 4,094.0 17,243.0 5,325.0 5,616.0 23,652.0 Yes 1.6455 1.9982 387,702.50 144,140.13 173,591.06 29,450.93 44,325.87 2.9081 2.4161 3.4000 8.3560 683,110.50 936,728 3.2609 0.6005 4.1032 3,866.4 4,082.0 17,286.6 5,301.9 5,597.5 23,704.6 Yes 1.6399 1.9887 0.01% 0.05% 0.05% 0.05% 0.00% 0.00% 0.00% 0.00% 0.00% 0.04% 0.01% 0.15% 0.15% 0.45% 0.40% 0.29% 0.25% 0.44% 0.33% 0.22% 0.34% 0.48% 2 Ab (in ) Wg (lbs) HD (lbf) H (lbf) HT (lbf) HG (lbf) hT (lbf) hG (lbf) hD (lbf) Bsmax (in) Mo (in-lbf) Mg (in-lbf) FL ** e ** (in-1 ) L ** SH (oper) (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Stress acceptance satisfied? Jo *** Jg *** Fig E4.16.2a Division 1 Loose Type Flange Design Comparison * The example manual uses a flange thickness of 2.44 in, which is less than the minimum required flange thickness per Appendix 2. This problem was modeled in Rating Mode with t = 2.44 in and in Design mode with t = 3.5 in. The results shown above were determined in Rating mode. 67 𝜋 * The example manual uses 4 in the flange force equations even though 0.785 is specified per ASME Section VIII, Division 1 Appendix 2. COMPRESS uses 0.785. ** The example manual shows the solution for FL, and thus e and L, using ASME Section VIII, Division 1 Appendix 2. In COMPRESS with Code Case 2695 active, FL is interpreted using ASME Section VIII, Division 2 Table 4.16.5 so FL = 3.256. The example shows FL per ASME Section VIII, Division 2 Table 4.16.5 as 3.2556, however this value is not used in subsequent calculations. This causes differences shown in the stress calculations. *** Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. **** Code Case 2695 moved to Appendix 46 in the 2019 Edition. 68 E4.18.1 - U-Tube Tubesheet Integral with Shell and Channel Design a U-Tube heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-12.1(a). a. Division 1 i. Comparison of results Parameter COMPRESS ASME Difference MTS (in.-lb/in) -160.13 567.98 35,999.00 N/A -170.00 -17,576.00 17,746.00 1,343.00 25,274.00 26,616.00 -160.00 568.00 36,000.00 3,350.00 -170.00 -17,600.00 17,700.00 1,340.00 25,300.00 26,600.00 0.08% 0.00% 0.00% N/A 0.00% 0.14% 0.26% 0.22% 0.10% 0.06% M (in.-lb/in) s (psi) t * (psi) ssm (psi) ssb (psi) ss (psi) scm (psi) scb (psi) sc (psi) Fig E4.18.1 Division 1 U-Tube Tubesheet Integral with Shell and Channel * Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. **The example manual only shows results for Load Case 1, which is compared above to Load Case 1 from the COMPRESS solution. 69 E4.18.2 - U-Tube Tubesheet Gasketed with Shell and Channel Design a U-Tube heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-12.1(d). a. Division 1 i. Comparison of results Parameter COMPRESS ASME Difference MTS (in.-lb/in) -784.95 2,384.80 31,217.00 N/A -785.00 2,380.00 31,200.00 2,960.00 0.01% 0.20% 0.05% N/A M (in.-lb/in) s (psi) t (psi) Fig E4.18.2 Division 1 U-Tube Tubesheet Gasketed with Shell and Channel * Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. **The example manual only shows results for Load Case 1, which is compared above to Load Case 1 from the COMPRESS solution. 70 E4.18.3 - U-Tube Tubesheet Gasketed with Shell and Channel Design a U-Tube heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-12.1(d). a. Division 1 i. Comparison of results Parameter COMPRESS ASME Difference MTS (in.-lb/in) 2,250.98 26,682.00 39,950.00 N/A 2,250.00 26,700.00 39,900.00 3,770.00 0.04% 0.07% 0.13% N/A M (in.-lb/in) s (psi) t (psi) Fig E4.18.3 Division 1 U-Tube Tubesheet Gasketed with Shell and Channel * Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. **The example manual only shows results for Load Case 1, which is compared above to Load Case 1 from the COMPRESS solution. 71 E4.18.4 - U-Tube Tubesheet Gasketed with Shell and Channel, Extended as Flange Design a U-Tube heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-12.1(e). a. Division 1 i. Comparison of results Parameter COMPRESS ASME Difference MTS (in.-lb/in) 16467.24 30044.91 38176 N/A 0 -56,955.00 56,955.00 31,353.43 39,838.00 16500 30000 38200 4880 0 -57,000.00 57,000.00 31,400.00 39,800.00 0.20% 0.15% 0.06% N/A 0.00% 0.08% 0.08% 0.15% 0.10% M (in.-lb/in) s (psi) t (psi) scm (psi) scb (psi) sc (psi) MEP (in.-lb/in) s (psi) Fig E4.18.4 Division 1 U-Tube Tubesheet Gasketed with Shell and Channel, Extended as Flange * Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. **The example manual only shows results for Load Case 2, which is compared above to Load Case 2 from the COMPRESS solution. 72 E4.18.5 - Fixed Tubesheet Exchanger, Configuration b, Tubesheet Integral with Shell, Extended as a Flange and Gasketed on the Channel side Design a fixed tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-13.1(b). i. Comparison of Results Step 5 (Operating conditions 2 and 4): Parameter COMPRESS ASME Difference W*6,8 (lbs) 366,512.0 512,937.0 28.55% E4.18.5 - Step 5 W* Comparison Per Table UHX-8.1, W* for configuration (b) load cases 4-7 is Wc evaluated per Appendix 2. In the example manual, W* for Operating conditions 2 and 4 (load cases 6 and 8) is 512,937 lbs. In COMPRESS, W* for load cases 6 and 8 is calculated as: (8.785 + 20.536) ∗ 25,000 (𝐴𝑚 + 𝐴𝑏 )𝑆𝑎 = = 366,512 𝑙𝑏𝑠 2 2 where W* is evaluated per Appendix 2 with Pt = 0 psi. This is reported in the Tubesheet Effective Bolt Load Summary table in the Tubesheet report in COMPRESS. This difference affects all of the subsequent calculations for load cases 6 and 8. 𝑊∗ = Step 8 Shear Stress Calculation * Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. Step 9 (Design condition 2): Parameter st,min (psi) COMPRESS ASME Difference 269 0 100.00% E4.18.5 - Step 9 𝝈𝒕,𝒎𝒊𝒏 Comparison The value for 𝜎𝑡,𝑚𝑖𝑛 reported in the Step 9 Summary for Design condition 2 should be 269 psi. COMPRESS reports 269 psi. This does not affect any subsequent calculations. 73 Step 10 (Operating conditions): Parameter COMPRESS ASME Difference Sps,s (psi) 54,400 36,200 50.28% E4.18.5 - Step 10 Sps,s Comparison The correct Sps, s value for the shell is 54,400 psi per UG-23(e). In the example manual, Sps,s is reported as 36,200 psi for Operating load cases 1-4. COMPRESS uses Sps, s = 54,400 psi. This does not affect any subsequent calculations. Step 11 & 12 (Design Condition 1): The Elastic Plastic analysis per UHX-13.7 is performed for load case 1 and the final result is as follows: Parameter |s| (psi) COMPRESS ASME Difference 25,761 25,752 0.03% E4.18.5 - Step 12 𝝈 Comparison 74 E4.18.6 - Fixed Tubesheet Exchanger, Configuration b, Tubesheet Integral with Shell, Extended as a Flange and Gasketed on the Channel Side Design a fixed tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-13.1(b). i. Comparison of Results Data Inputs Summary Parameter COMPRESS COMPRESS w/ FUDM * ASME S (psi) Syt (psi) 18,500 19,000 18,450 18,950 18,450 18,950 Ss,1 (psi) 18,500 18,450 18,450 E4.18.6 - Data Summary Comparison * In the example manual, the Data Summaries for the Tubes, Tubesheet, and Shell show unrounded allowable stresses. Per note (b) under Table 1A in ASME Section IID 2007 and later, interpolated stress values should be rounded to the same number of decimal places as the value at the higher temperature between which values are being interpolated. The correct values are: S = 18,500 psi, Sy,t = 19,000 psi, and Ss,1 = 18,500 psi. COMPRESS uses these values. For purposes of comparing against the published example, a full user defined material was used in COMPRESS with the rounding option in Set Mode >> General 2 >> Full User Defined Materials turned off. Step 1 d* Calculation Parameter COMPRESS ASME Difference d* (in) 0.6399 0.6392 0.11% E4.18.6 - Step 1 d* Comparison Per UHX-11.5.1, d* is calculated as: 𝐸𝑡𝑇 𝑆𝑡𝑇 𝑑∗ = max {[𝑑𝑡 − 2𝑡𝑡 ( ) ( ) 𝜌] , [𝑑𝑡 − 2𝑡𝑡 ]} 𝐸 𝑆 COMPRESS calculates d* as: 25.75𝐸6 12,588 𝑑 ∗ = max {[. 75 − 2 ∗ 0.083 ∗ ( )( ) ∗ 0.972] , [. 75 − 2 ∗ 0.083]} 25.75𝐸6 18,450 = 0.63991 𝑖𝑛 Using the values from the example manual, d* should be: 25.75𝐸6 12,588 𝑑∗ = max {[. 75 − 2 ∗ 0.083 ∗ ( )( ) ∗ 0.972] , [. 75 − 2 ∗ 0.083]} 25.75𝐸6 18,450 = 0.63991 𝑖𝑛 instead of 0.6392 as reported in Step 2. This difference affects subsequent calculations. 75 Step 2 K*s Calculation Parameter COMPRESS ASME Difference K*s (lb/in) 5,868,479.8 5,876,500.0 0.14% E4.18.6 - Step 2 K*s Comparison The calculation for K*s= 5,876,500 lb/in includes corroded shell band lengths (l1= 9.75+0.125 = 9.875= l'1). Corrosion will not increase the shell band length, so l1= 9.75= l'1. In COMPRESS corrosion is not considered on the shell band length, so K*s= 5,868,479.8 lb/in. Step 5 (Operating conditions 2 and 4): Parameter COMPRESS ASME Difference W*6,8 (lbs) 665,753.1 808,478.0 17.65% E4.18.6 - Step 5 W* Comparison Per Table UHX-8.1, W* for configuration (b) load cases 4-7 is Wc evaluated per Appendix 2. In the example manual, W* for Operating conditions 2 and 4 (load cases 6 and 8) is 808,478 lbs. In COMPRESS, W* for load cases 6 and 8 is calculated as: (20.9203 + 32.34) ∗ 25,000 (𝐴𝑚 + 𝐴𝑏 )𝑆𝑎 = = 665,753 𝑙𝑏𝑠 2 2 where W* is evaluated per Appendix 2 with Pt = 0 psi. This is reported in the Tubesheet Effective Bolt Load Summary table in the Tubesheet report in COMPRESS. This difference affects all of the subsequent calculations for load cases 6 and 8. 𝑊∗ = Step 8 Shear Stress Calculation Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. Step 10 (Operating conditions): Parameter COMPRESS ASME Difference Sps,s (psi) 54,400 36,900 47.43% E4.18.6 - Step 10 Sps,s Comparison The correct Sps, s value for the shell is 54,400 psi per UG-23(e). In the example manual, Sps,s is reported as 36,900 psi for Operating load cases 1-4. COMPRESS uses Sps, s = 54,400 psi. This does not affect any subsequent calculations. 76 E4.18.7 - Fixed Tubesheet Exchanger, Configuration a Design a fixed tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-13.1(a). i. Comparison of Results Step 8 Shear Stress Calculation Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. Step 9 (Design condition 5): Parameter COMPRESS ASME Difference Stb (psi) 7,836 7,836.5 0.006% Step 12 (Design condition 1): Parameter 𝜆s E*s (psi) COMPRESS 38,952,242 20,215,847 77 ASME Difference 39,000,000 20,200,000 0.12% 0.08% E4.18.8 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Gasketed, Not Extended as a Flange Design a floating tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-14.2(d) and Fig UHX-14.3(C). i. Comparison of Results Stationary Tubesheet - Step 7 (Operating condition 1): Parameter |s| COMPRESS (psi) 16,420 ASME 16,400 Difference 0.12% Step 7 (Operating condition 2): Parameter |s| COMPRESS (psi) 27,366 ASME 27,400 Difference 0.12% Step 7 (Operating condition 3): Parameter |s| (psi) COMPRESS 10,947 ASME 10,900 Difference 0.43% Step 8 Shear Stress Calculation Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. Step 9 (Operating conditions 1, 2, and 3): Parameter COMPRESS Stb (psi) 10,666 78 ASME 10,700 Difference 0.32% Floating Tubesheet - Step 7 (Operating condition 1): Parameter COMPRESS -10.17 Q2 (in-lb/in) |s| (psi) 9,495 ASME Difference -10.2 9,500 0.29% 0.05% ASME Difference 16.95 15,800 0.29% 0.16% Step 7 (Operating condition 2): Parameter Q2 (in-lb/in) |s| (psi) COMPRESS 16.90 15,826 79 E4.18.9 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Integral Design a floating tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-14.2(d) and Fig UHX-14.3(A). i. Comparison of Results Front Stationary Tubesheet - Step 7 (Operating condition 1): Parameter |s| COMPRESS (psi) 10,976 ASME 11,000 Difference 0.22% Step 7 (Operating condition 2): Parameter |s| COMPRESS (psi) 6,430 ASME 6,420 Difference 0.16% Step 7 (Operating condition 3): Parameter |s| (psi) COMPRESS 16,510 ASME 16,500 Difference 0.06% Step 8 Shear Stress Calculation Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. 80 E4.18.10 - Stationary Tubesheet Gasketed with Shell and Channel; Floating Tubesheet Internally Sealed Design a floating tubesheet heat exchanger as shown in ASME Section VIII, Division 1 Fig UHX-14.1(c), Fig UHX-14.2(d), and Fig UHX-14.3(D). i. Comparison of Results Front Stationary Tubesheet - Step 7 (Operating condition 1): Parameter |s| COMPRESS (psi) 21,876 ASME 21,900 Difference 0.11% Step 7 (Operating condition 2): Parameter |s| COMPRESS (psi) 18,751 ASME 18,800 Difference 0.26% Step 7 (Operating condition 3): Parameter |s| (psi) COMPRESS 3,125 ASME 3,130 Difference 0.16% Step 8 Shear Stress Calculation Per UHX-12.5.9, the shear stress calculation is not required if UHX-12.5.9(a) is satisfied. As UHX-12.5.9(a) is satisfied, the shear stress calculation is not performed in COMPRESS. 81 E4.19.1 - U-Shaped Un-reinforced Bellows Expansion Joint and Fatigue Evaluation COMPRESS does not currently allow ASME Section VIII, Division 2 Heat Exchangers so these examples were verified per ASME Section VIII, Division 1 Appendix 26. a. Division 1 Check the acceptability of a U-shaped unreinforced bellows expansion joint for the given design conditions in accordance with ASME Section VIII, Division 1. i. Comparison of results Parameter COMPRESS ASME Difference tp (in) 0.04701 0.2149 0.8295 53,700 13,739 10,015 5,823 1,064 37,539 1,648.54 0.0470 0.2150 0.8300 53,700 13,738.70 10,055.50 5,819.50 1,063.80 37,573.60 1,648.70 0.02% 0.05% 0.06% 0.00% 0.00% 0.40% 0.06% 0.02% 0.09% 0.01% 45,540 45,540 0.00% 146.74 51.19 913.00 136,551.00 1,241 146.80 51.20 913.60 136,516.30 1,246 0.04% 0.02% 0.07% 0.03% 0.40% 2 A (in ) Cp Km *S S1 (psi) S2,E * (psi) S2,I (psi) S3 (psi) S4 (psi) Kb (lbf/in) SY* Psc Psi S5 S6 (psi) (psi) (psi) (psi) (psi) Nalw ** Fig E4.19.1 Division 1 U-Shaped Unreinforced Bellows * COMPRESS uses updated equation in the 2017 Edition and later. ** COMPRESS evaluates E @ Room Temp = 28.3E+06 psi for the Bellows Expansion Joint per Table TM-1 for Material Group G. The example shows E@ Room Temp = 28.26E+06 psi 82 E4.19.2 - Toroidal Bellows Expansion Joint and Fatigue Evaluation COMPRESS does not currently allow ASME Section VIII, Division 2 Heat Exchangers so these examples will be verified per ASME Section VIII, Division 1 Appendix 26. a. Division 1 Check the acceptability of a toroidal bellows for the given design conditions in accordance with ASME Section VIII, Division 1. i. Comparison of results Parameter COMPRESS ASME Difference tp (in) S1 (psi) S'1 (psi) S2 (psi) S3 (psi) S'2 (psi) B1 * B2 * B3 * Kb (lbf/in) Psc (psi) S5 (psi) S6 (psi) 0.0740 13,644 14,277 4,054 8,437 15,607 3.6247 1.0025 2.3123 12,731.13 1,999.80 1,599 53,761 9,672 0.0740 13,643.60 14,277 4,054.10 8,436.80 15,606.60 3.6430 0.9970 2.3150 12,747.20 2,002 1,607.40 53,469.90 9,838 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.50% 0.55% 0.12% 0.13% 0.11% 0.52% 0.54% 1.69% Nalw ** Fig E4.19.2 Division 1 Toroidal Bellows * The example shows the solution for B1, B2, and B3 per ASME Section VIII, Division 2 Table 4.19.9. COMPRESS uses the ASME Section VIII, Division 1 solution per Table 26-8 which results in slightly different values. ** COMPRESS evalutes E @ Room Temp = 28.3E+06 psi for the Bellows Expansion joint per Table TM-1 for Material Group G. The example shows E@ Room Temp = 28.26E+06 psi. 83 E4.20.1 - Tube-To-Tubesheet Welds - Full Strength Welds Determine the size and allowable axial load of full strength tube-to-tubesheet welds for each of the joint types shown in Fig. UW-20.1. a. Figure UW-20.1(a) i. Comparison of results Parameter COMPRESS ASME Difference fw fd ar (in) af (in) Ft (lbs) Lmax, 1-4 (lbs) Lmax, 5-8 (lbs) 1.1385 1 0.1168 0.1168 1,412.8842 1,412.8842 2,825.7683 1.1385 1 0.1168 0.1168 1,412.9 1,412.9 2,825.8 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% Fig E4.20.1 Division 1 Tube-to-Tubesheet Full Strength Welds (a) b. Figure UW-20.1(b) i. Comparison of results Parameter COMPRESS ASME Difference fw fd ar (in) ag (in) Ft (lbs) Lmax, 1-4 (lbs) Lmax, 5-8 (lbs) 1.1385 1 0.0772 0.0772 1,412.8842 1,412.8842 2,825.7683 1.1385 1 0.0772 0.0772 1,412.9 1,412.9 2,825.8 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% Fig E4.20.1 Division 1 Tube-to-Tubesheet Full Strength Welds (b) 84 c. Figure UW-20.1(c) i. Comparison of results Parameter COMPRESS ASME Difference fw fd ar (in) af (in) ag (in) Ft (lbs) Lmax, 1-4 (lbs) Lmax, 5-8 (lbs) 1.1385 1 0.0957 0.0478 0.0478 1,412.8842 1,412.8842 2,825.7683 1.1385 1 0.0957 0.0479 0.0479 1,412.9 1,412.9 2,825.8 0.00% 0.00% 0.00% 0.21% 0.21% 0.00% 0.00% 0.00% Fig E4.20.1 Division 1 Tube-to-Tubesheet Full Strength Welds (c) d. Figure UW-20.1(d) i. Comparison of results Parameter COMPRESS ASME Difference fw fd Ft (lbs) Fg (lbs) ff ar (in) ac (in) af (in) Lmax, 1-4 (lbs) Lmax, 5-8 (lbs) 1.1385 1 1,412.8842 531.1854 0.6240 0.0748 0.1048 0.0748 1,412.8842 2,825.7683 1.1385 1 1,412.9 531.20 0.6240 0.0748 0.1048 0.0748 1,412.9 2,825.8 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% Fig E4.20.1 Division 1 Tube-to-Tubesheet Full Strength Welds (d) 85 E4.20.2 - Tube-To-Tubesheet Welds - Partial Strength Welds Determine the size and allowable axial load of partial strength tube-to-tubesheet welds for each of the joint types shown in Fig. UW-20.1. a. Figure UW-20.1(a) i. Comparison of results Parameter COMPRESS ASME Difference fw Ft (lbs) Fd * (lbs) fd * ar (in) af (in) Fg (lbs) Ff ** (lbs) Lmax,, all cases (lbs) 1.1385 1,412.8842 799.6216 0.5660 0.0682 0.0682 0.0000 800.9675 800.9675 1.1385 1,412.9 800.0 0.5662 0.0682 0.0682 0.0000 800.0 800.0 0.00% 0.00% 0.05% 0.04% 0.00% 0.00% 0.00% 0.12% 0.12% Fig E4.20.2 Division 1 Tube-to-Tubesheet Partial Strength Welds (a) * In COMPRESS, Fd (or WT) is evaluated for each load case in the UHX-13.5.9 Step 9 & UW-20 Tube-To-Tubesheet Joint Loads calculations. The governing case in COMPRESS is compared above to the load given in the example manual. ** Ff is approximated in the example as: 𝐹𝑓 = min[(𝐹𝑑 − 𝐹𝑔 ), 𝐹𝑇 ] COMPRESS calculates Ff per UW-20.3 as: 𝐹𝑓 = 0.55𝜋𝑎𝑓 (𝑑𝑜 + 0.67𝑎𝑓 )𝑆𝑤 86 b. Figure UW-20.1(b) i. Comparison of results Parameter COMPRESS ASME Difference fw Ft (lbs) Fd * (lbs) fd * ar (in) ag (in) Fg (lbs) Ff (lbs) Lmax,, all cases (lbs) 1.1385 1,412.8842 799.6216 0.5660 0.0446 0.0446 800.9477 0.0000 800.9477 1.1385 1,412.9 800.0 0.5662 0.0446 0.0446 797.3 0.0 797.3 0.00% 0.00% 0.05% 0.04% 0.00% 0.00% 0.46% 0.00% 0.46% Fig E4.20.2 Division 1 Tube-to-Tubesheet Partial Strength Welds (b) * In COMPRESS, Fd (or WT) is evaluated for each load case in the UHX-13.5.9 Step 9 & UW-20 Tube-To-Tubesheet Joint Loads calculations. The governing case in COMPRESS is compared above to the load given in the example manual. 87 c. Figure UW-20.1(c) i. Comparison of results Parameter COMPRESS ASME Difference fw Ft (lbs) Fd * (lbs) fd * ar (in) af (in) ag (in) Fg (lbs) Ff (lbs) Lmax,, all cases (lbs) 1.1385 1,412.8842 799.6216 0.5660 0.0549 0.0274 0.0274 486.1205 314.5485 800.6690 1.1385 1,412.9 800.0 0.5662 0.0549 0.0275 0.0275 486.1 313.9 800.0 0.00% 0.00% 0.05% 0.04% 0.00% 0.36% 0.36% 0.00% 0.00% 0.08% Fig E4.20.2 Division 1 Tube-to-Tubesheet Partial Strength Welds (c) * In COMPRESS, Fd (or WT) is evaluated for each load case in the UHX-13.5.9 Step 9 & UW-20 Tube-To-Tubesheet Joint Loads calculations. The governing case in COMPRESS is compared above to the load given in the example manual. d. Figure UW-20.1(d) i. Comparison of results Parameter COMPRESS ASME Difference fw Ft (lbs) Fg (lbs) Fd * (lbs) fd * ff ar (in) ac (in) af (in) Ff (lbs) Lmax,, all cases (lbs) 1.1385 1,412.8842 531.1854 799.6216 0.5660 0.3357 0.0236 0.0536 0.0236 269.2472 800.4327 1.1385 1,412.9 531.2 800.0 0.5662 0.3360 0.0236 0.0536 0.0236 268.8 800.0 0.00% 0.00% 0.00% 0.05% 0.04% 0.09% 0.00% 0.00% 0.00% 0.00% 0.05% Fig E4.20.2 Division 1 Tube-to-Tubesheet Partial Strength Welds (d) * In COMPRESS, Fd (or WT) is evaluated for each load case in the UHX-13.5.9 Step 9 & UW-20 Tube-To-Tubesheet Joint Loads calculations. The governing case in COMPRESS is compared above to the load given in the example manual. 88 E6.1 - Postweld Heat Treatment of a Pressure Vessel a. Division 1 Establish the post-weld heat treatment (PWHT) requirements for a process tower given the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference tTop Head (in) tbottom Head (in) tshell (in) 2.1892 2.2184 4.4978 2.1891 2.2183 4.4977 0.00% 0.00% 0.00% Fig E6.1 Division 1 PWHT Governing Thickness * COMPRESS does not provide any specifications on the operation of PWHT, only the governing thickness requirements per UCS-56 and UW-40(f). In COMPRESS, PWHT is determined to be mandatory for this example and must be active for the entire vessel in order to perform the Code Calculations. Also reference the PWHT note in the Settings Summary. 89 E6.2 - Out-of-Roundness of a Cylindrical Forged Vessel a. Division 1 Establish the reduced permissible operating pressure requirements considering the following design conditions. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 6.6675 6.6675 0.00% Fig E6.2 Division 1 Forged Vessel Required Thickness * COMPRESS does not currently consider out-of-roundness for vessels. However, the required thickness of the forged cylindrical shell was calculated in COMPRESS. 90 E7.1 - NDE: Establish Joint Efficiencies, RT-1 a. Division 1 Design an RT-1 vessel. i. Comparison of results a. The vessel is given an RT-1 marking in COMPRESS per UG-116(e). See the RT marking in the Radiography Summary. Joint efficiency values can be viewed on each component report. Note: not all joint efficiency values are reported in COMPRESS (i.e. nozzle to shell Category D welds). b. COMPRESS only specifies joint types 1, 2, and 7. c. Nozzles placed on sump heads are not available in COMPRESS d. Joint identifier 7: the longitudinal seam on the Boot Nozzle. In the example manual, the longitudinal seam of F-Boot Nozzle (N7) is specified as Category A Type 1 with joint efficiency E = 1.0. COMPRESS does not specify joint types for longitudinal seams of nozzles. A user defined joint efficiency can be specified in the 'Nozzle Calculations' dialog. 91 E7.2 - NDE: Establish Joint Efficiencies, RT-2 a. Division 1 Design an RT-2 vessel. i. Comparison of results a. The vessel is given an RT-2 marking in COMPRESS per UG-116(e). See the RT marking in the Radiography Summary. Joint efficiency values can be viewed in each component report. Note: not all joint efficiency values are reported in COMPRESS (i.e. nozzle to shell Category D welds). b. COMPRESS only specifies joint types 1, 2, and 7. c. Nozzles placed on sump heads are not available in COMPRESS d. Joint identifier 7: the longitudinal seam on the Boot Nozzle. In the example manual, the longitudinal seam of F-Boot Nozzle (N7) is specified as Category A Type 2 with joint efficiency E = 0.9. COMPRESS does not specify joint types for longitudinal seams of nozzles. A user defined joint efficiency can be specified in the 'Nozzle Calculations' dialog. If the user defined joint efficiency is specified as lss than 1, the overall vessel RT marking will be adjusted accordingly. e. Joint identifier 14: the circumferential seam between the G-Process Outlet nozzle and the attached flange. In the example manual, the Category C weld on G-Process Outlet Nozzle (N8) is Type 3 and has a joint efficiency E = 0.60. In COMPRESS, Type 3 joints are not specified. A user defined value was entered for the circumferential joint efficiency as E = 0.6. Note this joint is exempt per UW-11(a)(4). 92 E7.3 - NDE: Establish Joint Efficiencies, RT-3 Design an RT-3 vessel. i. Comparison of results a. The vessel is given an RT-3 marking in COMPRESS per UG-116(e). See the RT marking in the Radiography Summary. Joint efficiency values can be viewed on each component report. Note: not all joint efficiency values are shown in COMPRESS (i.e. nozzle to shell Category D welds). b. COMPRESS only specifies joint types 1, 2, and 7. c. Nozzles placed on sump heads are not available in COMPRESS d. In the example manual, Spot UW-11(b) is applied to the following joint identifiers: 1, 3, 4, and 6. The remaining Category A and B joints required no radiography per the length requirements described UW-52. In COMPRESS, length requirements per UW-52 are not considered. If a seam has 'None' RT selected in COMPRESS, the vessel will have an RT-4 marking. All joints were assigned Spot UW-11(b) RT to create a vessel with an RT-3 marking in COMPRESS. e. Joint identifier 14: the circumferential seam between the G-Process Outlet nozzle and the attached flange. In the example manual, the Category C weld on G-Process Outlet Nozzle (N8) is Type 3 and has a joint efficiency E = 0.60. In COMPRESS, Type 3 joints are not specified. A user defined value was entered for the circumferential joint efficiency as E = 0.6. Note this joint is exempt per UW-11(a)(4). 93 E7.4 - NDE: Establish Joint Efficiencies, RT-4 Design an RT-4 vessel. i. Comparison of results a. The vessel is given an RT-4 marking in COMPRESS per UG-116(e). See the RT marking in the Radiography Summary. Joint efficiency values can be viewed on each component report. Note: not all joint efficiency values are reported in COMPRESS (i.e. nozzle to shell Category D welds). b. COMPRESS only specifies joint types 1, 2, and 7. c. Nozzles placed on sump heads are not available in COMPRESS d. In the example manual, Spot UW-11(a)(5)(b) is applied to category B and C joints with additional Spot Radiography per UW-52. In COMPRESS, length requirements per UW-52 are not considered. The RT-4 vessel was constructed using the Spot UW-11(b) and Spot UW-11(a)(5)(b) option for Type 1 and Type 2 joints on category B and C joints for main vessel components. e. Joint identifier 14: the circumferential seam between the G-Process Outlet nozzle and the attached flange. In the example manual, the Category C weld on G-Process Outlet Nozzle (N8) is Type 3 and has a joint efficiency E = 0.60. In COMPRESS, Type 3 joints are not specified. A user defined value was entered for the circumferential joint efficiency as E = 0.6. Note this joint is exempt per UW-11(a)(4). 94 E8.1 - Determination of a Hydrostatic Test Pressure a. Division 1 Establish the hydrostatic test pressure for a process tower considering the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference PT (psi) 2211.281 2211 0.01% Fig E8.1 Division 1 Hydrostatic Test Pressure 95 E8.2 - Determination of a Pneumatic Test Pressure a. Division 1 Establish the pneumatic pressure for a vessel considering the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference PT (psi) 1815 1815 0.00% Fig E8.2 Division 1 Pneumatic Test Pressure 96 2.2 ASME Section VIII - Division 2 Example Problems (PTB-3-2013) 97 E3.1 - Use of MDMT Exemptions Curves a. Division 2 Determine if Impact Testing is required for the proposed shell section. i. Comparison of results Parameter COMPRESS ASME Difference Governing thickness, tg (in) 1.8125 -19.1 1.8125 -19.1 0.00% 0.00% Yes Yes - MDMT (°F) Impact testing required per 3.11.2.3? Fig E3.1 Division 2 MDMT Comparison 98 E3.2 - Use of MDMT Exemptions Curves with Stress Reduction a. Division 2 Determine if impact testing is required for the proposed shell section. i. Comparison of results Parameter COMPRESS ASME Difference Governing thickness, tg (in) Coincident Ratio, Rts TR (°F) 1.8125 0.7132 28.31 -47.41 No 1.8125 0.7132 28.3 -47.4 No 0.00% 0.00% 0.04% 0.02% - MDMT (°F) Impact testing required? Fig E3.2 Division 2 MDMT Comparison with Stress Reduction * The example manual states the material used is SA-516 70 with 𝑆@ 70 𝐹 = 22,400 𝑝𝑠𝑖 and 𝑆@ 300 𝐹 = 22,400 𝑝𝑠𝑖. Per ASME Section II-D, Table 5A for SA-516 70: 𝑆@ 70 𝐹 = 25,300 𝑝𝑠𝑖 and 𝑆@ 300 𝐹 = 22,400 𝑝𝑠𝑖. A full user defined material was used in COMPRESS to match the allowable stress values given in the problem statement. 99 E4.1.2 - Determine Required Wall Thickness of Hemispherical Head a. Division 2 Determine the required thickness for a hemispherical head at the bottom of a vertical vessel. i. Comparison of results Parameter COMPRESS ASME Difference P (psig) t (in) 1673.13 1.9563 1673.14 1.9563 0.00% 0.00% Fig E4.1.2 Division 2 Hemispherical Head tr Comparison 100 E4.1.3 - Determine Required Wall Thickness of Hemispherical Head - Higher Strength Material a. Division 2 Determine the required thickness for a hemispherical head at the bottom of a vertical vessel. i. Comparison of results Parameter COMPRESS ASME Difference P (psig) t (in) 1673.13 1.5335 1673.14 1.5335 0.00% 0.00% Fig E4.1.3 Division 2 Hemispherical Head tr Comparison 101 E4.2.1 - Nondestructive Examination Requirement for Vessel Design a. Division 2 Compare NDE requirements for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t 1b (in) t 3b (in) 1.116 1.2942 1.116 1.2942 0.00% 0.00% Fig E4.2.1 Division 2 NDE Comparison 102 E4.2.2 - Nozzle Detail and Weld Sizing a. Division 2 Determine the required fillet weld size and inside corner radius of a set-in type nozzle as shown in Table 4.2.10, Detail 4. i. Comparison of results Parameter COMPRESS ASME Difference tc (in) 0.3571 0.357 0.03% Fig E4.2.2 Division 2 Nozzle Weld Sizing Comparison * In COMPRESS, the calculation for the minimum inside corner radius, 𝑟1, is not performed. See ASME PTB-4-2013 E4.2.2 Division 2 Solution 103 E4.2.3 - Nozzle Detail with Reinforcement Pad and Weld Sizing a. Division 2 Determine the required fillet weld sizes and inside corner radius of a set-in type nozzle with added reinforcement pad as shown in Table 4.2.11, Detail 2. i. Comparison of results Parameter COMPRESS ASME Difference tc (in) tf1 (in) 0.3571 0.4286 0.357 0.429 0.03% 0.09% Fig E4.2.3 Division 2 Nozzle with Pad Weld Sizing Comparison See ASME PTB-4-2013 E4.2.3 Division 2 Solution. 104 E4.3.1 - Cylindrical Shell a. Division 2 Determine the required thickness for a cylindrical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 0.8479 0.8479 0.00% Fig E4.3.1 Division 2 Cylindrical Shell tr Comparison 105 E4.3.2 - Conical Shell a. Division 2 Determine the required thickness for a conical shell. i. Comparison of results Parameter COMPRESS ASME Difference DL * (corroded, in) 150.2679 21.0375 1.4146 150.25 21.0375 1.4144 0.01% 0.00% 0.01% α (degrees) t (in) Fig E4.3.2 Division 2 Conical Shell tr Comparison * The equation for the required cone thickness at the large end, 𝑡𝑟 , uses the large end diameter, 𝐷𝐿 . COMPRESS calculates 𝐷𝐿 for a transition using the following equation: 𝐷𝐿 = 𝐷 + 2 ∗ 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 150 + 2 ∗ = 150.2679 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual calculates 𝐷𝐿 using: 𝐷𝐿 = 𝐷 + 2(𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒) = 150 + 2(0.125) = 150.25 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. 106 E4.3.3 - Spherical Shell a. Division 2 Determine the required thickness for a spherical shell. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 2.7298 2.7298 0.00% Fig E4.3.3 Division 2 Spherical Shell tr Comparison 107 E4.3.4 - Torispherical Head a. Division 2 Determine the maximum allowable working pressure (MAWP) for the proposed seamless torispherical head. i. Comparison of results Parameter D L r t βth φth Rth (in) (in) (in) (in) (rad) (rad) (in) C1 C2 C3 Peth (psi) Py (psi) G Pck (psi) Pak (psi) Pac (psi) Pa (psi) COMPRESS ASME Difference 72.25 72.125 4.5 0.5 1.0842 1.3345 36.125 0.4939 1.25 26,900 5,352.44 98.83 54.1595 199.57 133.04 248.7 133.04 72.25 72.125 4.5 0.5 1.0842 1.3345 36.125 0.494 1.25 26,900 5,353.94 98.8274 54.1747 199.5671 133.0447 248.7047 133.0447 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% 0.00% 0.00% 0.03% 0.00% 0.03% 0.00% 0.00% 0.00% 0.00% Fig E4.3.4 Division 2 Torispherical Head MAWP Comparison 108 E4.3.5 - Ellipsoidal Head a. Division 2 Determine the maximum allowable working pressure (MAWP) for the proposed seamless 2:1 Ellipsoidal head. i. Comparison of results Parameter COMPRESS ASME Difference k * D (in) L * (in) r * (in) t (in) βth (rad) φth (rad) Rth (in) C1 C2 Peth (psi) Py (psi) 1.9945 90.25 81.0056 15.405 1 1.1006 0.5842 49.581 0.7231 1.0162 43,275.72 1,094.58 39.5362 2,201.55 1467.7 549.66 549.66 2 90.25 81.125 15.425 1 1.1017 0.5839 49.6057 0.7233 1.0157 43,321.6096 1,096.89 39.4948 2,206.16 1470.8 548.9 548.9 0.28% 0.00% 0.15% 0.13% 0.00% 0.10% 0.05% 0.05% 0.03% 0.05% 0.11% 0.21% 0.10% 0.21% 0.21% 0.14% 0.14% G Pck (psi) Pak (psi) Pac (psi) Pa (psi) Fig E4.3.5 Division 2 Ellipsoidal Head MAWP Comparison * The example solves for k, L, and r using uncorroded dimensions. COMPRESS solves for k, L, and r using corroded dimensions: 𝐷 90.25 = = 1.9945 2ℎ 2 ∗ 22.625 0.5 0.5 𝑟 = 𝐷( − 0.08) = 90.25 ( − 0.08) = 15.405𝑖𝑛 𝑘 1.9945 𝑘= 𝐿 = 𝐷(0.44𝑘 + 0.02) = 90.25(0.44 ∗ 1.9945 + 0.02) = 81.0056 𝑖𝑛 These calculations account for the differences shown above. 109 E4.3.6 - Combined Loadings and Allowable Stresses a. Division 2 Determine the maximum tensile stress of the proposed cylindrical shell section given the design conditions and specified applied loadings. i. Comparison of results Parameter COMPRESS** ASME Difference s1 (psi) s2 + (psi) s2 - (psi) s3 (psi) sT + (psi) sT - (psi) 14,458.00 7,202.00 6,636.00 -160.20 12,660.00 12,670.00 14,458.05 7,201.72 6,636.36 -160.20 12,659.90 12,670.10 0.00% 0.00% 0.01% 0.00% 0.00% 0.00% Fig E4.3.6 Division 2 Combined Loadings Cylindrical Shell Comparison * In COMPRESS a vertical load of -66,152.5 lbs is applied to act as F5, a lateral force is applied to act as a bending moment, and the wind code is active. A summary of the load cases can be viewed in the Settings Summary. See results below from the cylinder report under the Operating Hot & Corroded >> Wind >> Support Top load case. ** Rules for combined loads were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 110 E4.3.7 - Conical Transitions Without a Knuckle a. Division 2 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) ssm+ (psi) ssm- (psi) scqm+ (psi) scqm- (psi) scsm + (psi) scsm- (psi) Sps (psi) 3,258.00 3,815.00 7,981.00 7,620.00 2,863.00 3,431.00 7,426.00 7,090.00 67,200.00 Yes 3,258.64 3,815.69 7,980.48 7,619.12 2,862.31 3,430.40 7,425.26 7,088.96 67,200.00 Yes 0.02% 0.02% 0.01% 0.01% 0.02% 0.02% 0.01% 0.01% 0.00% - Adequately designed? Fig E4.3.7 Division 2 Conical Transition Without a Knuckle - Large end design * 𝑅𝐿 is used in several steps of the Division 2 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝐿 as: 𝑅𝐿 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 150 + = 75.1339 𝑖𝑛 𝑐𝑜𝑠(21.0375) 𝑐𝑜𝑠(𝛼) The example manual uses: 𝑅𝐿 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 75 + 0.125 = 75.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. 111 ii. Comparison of Results- Small end Parameter COMPRESS ASME Difference sqm+ (psi) sqm- (psi) ssm+ (psi) ssm- (psi) scqm+ (psi) scqm- (psi) scsm + (psi) scsm- (psi) Sps (psi) 22,475.00 20,980.00 8,429.00 7,088.00 21,094.00 19,658.00 4,545.00 3,813.00 67,200.00 Yes 22,500.78 20,900.58 8,429.11 7,084.44 21,078.72 19,678.70 4,545.96 3,810.57 67,200.00 Yes 0.11% 0.38% 0.00% 0.05% 0.07% 0.11% 0.02% 0.06% 0.00% - Adequately designed? Fig E4.3.7 Division 2 Conical Transition Without a Knuckle - Small end design * 𝑅𝑆 is used in several steps of the Division 2 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝑆 as: 𝑅𝑆 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 90 + = 45.1339 𝑖𝑛. 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual uses: 𝑅𝑠 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 45 + 0.125 = 45.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. 112 E4.3.8 - Conical Transitions With a Knuckle a. Division 2 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results Parameter COMPRESS ASME Difference tL (in) tc (in) Rk (in) Pe+ (psi) Pe- (psi) sqm+ (psi) sqm- (psi) ssm + (psi) ssm- (psi) 0.7547 0.852 50 0.7547 0.8520 50 284.9125 273.3410 35.8767 756.6825 0.00% 0.00% 0.00% 0.03% 0.12% 0.34% 0.04% 0.00% 0.00% - Adequately designed? 285 273 36 757 8,904 8,542 Yes 8,904.0570 8,542.4256 Yes Fig E4.3.8 Division 2 Conical Transition With a Knuckle 113 E4.4.1 - Cylindrical Shell a. Division 2 Determine the maximum allowable external pressure (MAEP) for a cylindrical shell. i. Comparison of results Parameter COMPRESS* ASME Difference L (in) t (in) Mx Ch Fhe * (psi) Fic (psi) 636 1 93.6459 0.0092 4512 4512 2 2255.76 48.91 636 1 93.6459 0.0092 4515.729 4515.729 2 2257.8645 48.9 0.00% 0.00% 0.00% 0.00% 0.08% 0.08% 0.00% 0.09% 0.02% FS FHA (psi) Pa (psi) Fig E4.4.1 Division 2 Cylindrical Shell MAEP Comparison See explanation of results in: ASME PTB-4-2013 Div 2 Solution E4.4.1. * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 114 E4.4.2 - Conical Shell a. Division 2 Determine the maximum allowable external pressure (MAEP) for a conical shell. i. Comparison of results Parameter COMPRESS* ASME Difference tc (in) 1.8125 21.0375 133.018 83.5703 7.6115 0.1308 80,714 33,395 1.6705 19,991 544.79 1.8125 21.0375 131.717 83.5703 7.649 0.1301 81,062.48 33,452.58 1.6693 20,039.88 551.5 0.00% 0.00% 0.99% 0.00% 0.49% 0.54% 0.43% 0.17% 0.07% 0.24% 1.22% α (degrees) Do * (in) L (in) Mx Ch Fhe (psi) Fic (psi) FS FHA (psi) Pa (psi) Fig E4.4.2 Division 2 Conical Shell MAEP Comparison See explanation of results in ASME PTB-4-2013 Div 2 Solution E4.4.2. * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 115 E4.4.3 - Spherical Shell and Hemispherical Head a. Division 2 Determine the maximum allowable external pressure (MAEP) for a hemispherical head. i. Comparison of results Parameter COMPRESS* ASME Difference t (in) Ro (in) Fhe (psi) Fic (psi) 2.8125 77.3125 79,396 40,391 1.891 21,360 1554.09 2.8125 77.3125 79,395.72 40,391.23 1.891 21,359.72 1554.1 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% FS FHA (psi) Pa (psi) Fig E4.4.3 Division 2 Hemispherical Head MAEP Comparison * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 116 E4.4.4 - Torispherical Head a. Division 2 Determine the maximum allowable external pressure (MAEP) for a torispherical head. i. Comparison of results Parameter COMPRESS* ASME Difference t (in) Ro (in) Fhe (psi) Fic (psi) 0.5 72.625 13709 13709 2 6854.56 94.38 0.5 72.625 13709.1222 13709.1222 2 6854.5611 94.4 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.02% FS FHA (psi) Pa (psi) Fig E4.4.4 Division 2 Torispherical Head MAEP Comparison * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 117 E4.4.5 - Ellipsoidal Head a. Division 2 Determine the maximum allowable external pressure (MAEP) for an Ellipsoidal head. i. Comparison of results Parameter ho * (in) Do (in) KO * Ro * (in) t (in) Fhe (psi) Fic (psi) FS FHA (psi) Pa (psi) COMPRESS* 23.625 92.25 0.8793 81.1192 1 26,165.0 19,830.0 1.970 10,067.0 248.21 ASME Difference 23.0625 92.25 0.9005 83.0711 1 25,550.402 19,719.072 1.972 9,999.023 240.7 2.44% 0.00% 2.35% 2.35% 0.00% 2.41% 0.56% 0.12% 0.68% 3.12% Fig E4.4.5 Division 2 Ellipsoidal Head MAEP Comparison See explanation of results in ASME PTB-4-2013 Div 2 Solution E4.4.5. * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 118 E4.4.6 - Combined Loadings and Allowable Stresses Cylindrical Shell a. Division 2 Determine the allowable compressive stresses of the proposed cylindrical shell section given the design conditions and specified applied loadings. i. Comparison of results Parameter FHA (psi) Fxa (psi) Fca * (psi) Fba (psi) Fve (psi) Fva (psi) Fxha ** (psi) Fbha (psi) 4.4.12.2.h.3 Ratio *** 4.4.12.2.i.3 Ratio **** Adequately designed? COMPRESS* ASME 2,256.00 20,156.00 713.00 21,816.00 37,839.00 9,116.00 706.00 1,559.00 2,257.86 20,155.97 18,672.43 21,817.83 37,843.77 9,116.56 1,710.25 1,560.23 0.5515 0.0242 Yes 0.4041 0.0278 Yes Difference 0.08% 0.00% 96.18% 0.01% 0.13% 0.01% 58.72% 0.08% 36.48% 12.95% - Fig E4.4.6 Division 2 Combined Loadings Cylindrical Shell Comparison See explanation of results in ASME PTB-4-2013 Div 2 Solution E4.4.6. * Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 119 E4.4.7 - Conical Transitions Without a Knuckle a. Division 2 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results- Large end Parameter COMPRESS** ASME Difference sqm+ (psi) sqm- (psi) FHA (psi) ssm+ (psi) ssm- (psi) Fxa (psi) scqm+ (psi) scqm- (psi) FHA (psi) scsm + (psi) scsm- (psi) Fxa (psi) Sps (psi) -225.00 332.00 20,156.00 -271.00 -632.00 20,156.00 -210.00 358.00 20,156.00 -252.00 -588.00 20,156.00 67,200.00 Yes -224.74 332.31 20,156.00 -271.03 -632.39 20,156.00 -210.17 357.93 20,156.00 -252.16 -588.48 20,156.00 67,200.00 Yes 0.12% 0.09% 0.00% 0.01% 0.06% 0.00% 0.08% 0.02% 0.00% 0.06% 0.08% 0.00% 0.00% - Adequately designed? Fig E4.4.7 Division 2 Conical Transition Without a Knuckle - Large end design * 𝑅𝐿 is used in several steps of the Division 2 solution for the large end calculations and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝐿 as: 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 𝑅𝐿 = 𝑅 + = 150 + = 75.1339 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual uses: 𝑅𝐿 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 75 + 0.125 = 75.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 120 ii. Comparison of Results- Small end Parameter COMPRESS** ASME Difference sqm+ (psi) sqm- (psi) FHA (psi) ssm+ (psi) ssm- (psi) Fxa (psi) scqm+ (psi) scqm- (psi) FHA (psi) scsm + (psi) scsm- (psi) Fxa (psi) Sps (psi) -467.00 -1,967.00 20,156.00 65.00 -1,279.00 20,156.00 -429.00 -1,868.00 20,156.00 38.00 -696.00 20,156.00 67,200.00 Yes -437.32 -2,037.52 20,156.00 65.19 -1,279.47 20,156.00 -440.12 -1,840.14 20,156.00 38.29 -697.10 20,156.00 67,200.00 Yes 6.79% 3.46% 0.00% 0.30% 0.04% 0.00% 2.53% 1.51% 0.00% 0.76% 0.16% 0.00% 0.00% - Adequately designed? Fig E4.4.7a Division 1 Conical Transition Without a Knuckle - Small end design * 𝑅𝑆 is used in several steps of the Division 2 solution for the large end and ultimately affects each of the membrane stress calculations. COMPRESS calculates 𝑅𝑆 as: 𝑅𝑆 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 0.125 = 90 + = 45.1339 𝑖𝑛 𝑐𝑜𝑠(𝛼) 𝑐𝑜𝑠(21.0375) The example manual uses: 𝑅𝑠 = 𝑅 + 𝐶𝑜𝑟𝑟𝑜𝑠𝑖𝑜𝑛 𝐴𝑙𝑙𝑜𝑤𝑎𝑛𝑐𝑒 = 45 + 0.125 = 45.125 𝑖𝑛 COMPRESS takes into account the half apex angle when considering corrosion. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 121 E4.4.8 - Conical Transitions With a Knuckle a. Division 2 Determine if the proposed large and small end cylinder-to-cone junctions are adequately designed considering the given design conditions, applied forces, and applied moments. i. Comparison of Results Parameter COMPRESS** ASME Difference Rk (in) Pe+ (psi) Pe- (psi) sqm+ (psi) sqm (psi) 50 -10 -21 50 -9.7875 -21.3590 -323.9558 0.00% 2.125% 1.68% 0.01% 0.04% 0.04% 0.07% 0.00% 0.00% - ssm + (psi) ssm- (psi) Fha (psi) Fxa (psi) Adequately designed? -324 397 -306 -668 20,156 20,156 Yes 396.8501 -305.8780 -667.5093 20,156.0 20,155.9688 Yes Fig E4.4.8 Division 2 Conical Transition With a Knuckle * The length of conical section used in Compress is 54.641" instead of 73.0" reported in the example manual in order to maintain an apex angle of 30o. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 122 E4.5.1 - Radial Nozzle in Cylindrical Shell a. Division 2 Design an integral nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) Rxn (in) 75.125 10.2644 75.125 10.2644 0.00% 0.00% LR (in) 11.2594 11.2594 0.00% LH (in) 7.8176 7.8176 0.00% 53.29 53.2889 0.00% 12,720.00 16,026.00 16,026.00 33600 1270.5 497.59 497.59 1.5692 20.0277 0.2652 45,452.76 1,987 Yes 12,720.68 16,025.93 16,025.93 31800 1202.3676 497.5936 497.5936 1.5692 20.0277 0.2652 45,450.98 1,986.44 Yes 0.01% 0.00% 0.00% 5.66% 5.67% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.03% N/A 2 AT (in ) savg (psi) scirc (psi) PL (psi) Sallow * (psi) Pmax1 * (psi) Pmax2 (psi) Pmax (psi) ky Lt (in) L41T (in) fwelds (lbf) t (psi) Acceptable design? Fig E4.5.1 Division 2 Nozzle-to-Shell Assembly Design Comparison * In COMPRESS, Sallow is calculated per ASME Section VIII, Division 2 equation 4.5.57: 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 22,400 ∗ 1.0 = 33,600 𝑝𝑠𝑖 where S is the allowable stress from Annex 3-A for the vessel at the design temperature per ASME Section VIII, Division 2 paragraph 4.5.18. The example shows: 𝑆 = min[𝑆𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 @ 𝐷𝑒𝑠𝑖𝑔n 𝑇𝑒𝑚𝑝 , 𝑆𝑛𝑜𝑧𝑧𝑙𝑒 @ 𝐷𝑒𝑠𝑖𝑔𝑛 𝑇𝑒𝑚𝑝 ] = 21,200 𝑝𝑠𝑖 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 21,200 ∗ 1.0 = 31,800 𝑝𝑠𝑖 123 E4.5.2 - Hillside Nozzle in Cylindrical Shell a. Division 2 Design an integral hillside nozzle in a cylindrical shell based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) Rnc (in) 75.125 3.935 75.125 3.935 0.00% 0.00% LR (in) 7.87 7.87 0.00% LH (in) 4.382 4.382 0.00% 21.0025 21.0024 0.00% 17,933.00 16,026.00 19,840.00 33600 602.92 497.59 497.59 1.4689 9.0792 0.2652 9,341.05 901 Yes 17,932.85 16,025.93 19,839.77 31800 570.6114 497.5936 497.5936 1.4689 9.0792 0.2652 9,341.44 900.60 Yes 0.00% 0.00% 0.00% 5.66% 5.66% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.04% N/A 2 AT (in ) savg (psi) scirc (psi) PL (psi) Sallow * (psi) Pmax1 * (psi) Pmax2 (psi) Pmax (psi) ky Lt (in) L41T (in) fwelds (lbf) t (psi) Acceptable design? Fig E4.5.2 Division 2 Hillside Nozzle Design Comparison- Normal to Longitudinal Axis * In COMPRESS, Sallow is calculated per ASME Section VIII, Division 2 equation 4.5.57: 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 22,400 ∗ 1.0 = 33,600 𝑝𝑠𝑖 where S is the allowable stress from Annex 3-A for the vessel at the design temperature per ASME Section VIII, Division 2 paragraph 4.5.18. The example shows: 𝑆 = min[𝑆𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 @ 𝐷𝑒𝑠𝑖𝑔n 𝑇𝑒𝑚𝑝 , 𝑆𝑛𝑜𝑧𝑧𝑙𝑒@ 𝐷𝑒𝑠𝑖𝑔𝑛 𝑇𝑒𝑚𝑝 ] = 21,200 𝑝𝑠𝑖 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 21,200 ∗ 1.0 = 31,800 𝑝𝑠𝑖 124 E4.5.3 - Radial Nozzle in Ellipsoidal Head a. Division 2 Design an integral radial nozzle centrally located in a 2:1 ellipsoidal head based on given vessel and nozzle data. i. Comparison of results Parameter COMPRESS ASME Difference Reff (in) Rxn (in) 80.9262 6.836 80.9262 6.836 0.00% 0.00% LR (in) 8.4149 8.4149 0.00% FP (in) 0.7295 0.7295 0.00% LH (in) 3.4572 3.4574 0.01% 14.4846 14.4846 0.00% 16,964.00 16,552.00 17,376.00 33600 688.41 481.79 481.79 1.3706 12.5192 0.2652 4.415 16,963.49 16,551.54 17,375.44 31800 651.5402 481.7921 481.7921 1.3706 12.5192 0.2652 4.415 0.00% 0.00% 0.00% 5.66% 5.66% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 9.5142 9.5143 0.00% 17,760.55 2,166 Yes 17,760.73 2,166.09 Yes 0.00% 0.00% N/A 2 AT (in ) savg (psi) scirc (psi) PL (psi) Sallow * (psi) Pmax1 * (psi) Pmax2 (psi) Pmax (psi) ky Lt (in) L41T (in) LH (in) A2 (in2) fwelds (lbf) t (psi) Acceptable design? Fig E4.5.3 Division 2 Radial Nozzle in Ellipsoidal Head Comparison * In COMPRESS, Sallow is calculated per ASME Section VIII, Division 2 equation 4.5.57: 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 22,400 ∗ 1.0 = 33,600 𝑝𝑠𝑖 where S is the allowable stress from Annex 3-A for the vessel at the design temperature per ASME Section VIII, Division 2 paragraph 4.5.18. The example shows: 𝑆 = min[𝑆𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 @ 𝐷𝑒𝑠𝑖𝑔n 𝑇𝑒𝑚𝑝 , 𝑆𝑛𝑜𝑧𝑧𝑙𝑒 @ 𝐷𝑒𝑠𝑖𝑔𝑛 𝑇𝑒𝑚𝑝 ] = 21,200 𝑝𝑠𝑖 𝑆𝑎𝑙𝑙𝑜𝑤 = 1.5𝑆𝐸 = 1.5 ∗ 21,200 ∗ 1.0 = 31,800 𝑝𝑠𝑖 125 E4.6.1 - Flat Unstayed Circular Heads Attached by Bolts a. Division 2 Determine the required thickness for a heat exchanger blind flange. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wg (lbs) 111285.07 237635.04 0.3 1.6522 0.872 1.6522 111329.5 237626.3 0.3 1.6523 0.872 1.6523 0.04% 0.00% 0.00% 0.01% 0.00% 0.01% C t o (in) t g (in) t (in) Fig E4.6.1 Division 2 Flat Unstayed Circular Heads Attached by Bolts Comparison See E4.16.1 for flange calculations. 126 E4.11.1 - Partial Jacket a. Division 2 Design a partial jacket to be installed on the outside diameter of a section of a tower. i. Comparison of results Parameter Rj (in) ts (in) Rs (in) trj (in)* jspecified (in) j (in)** trc (in)*** Y (in)**** Z (in)***** COMPRESS 48.125 0.875 46.0 0.4604 2.125 0.7957 1.6786 - ASME 48.125 0.875 46.0 0.4483 2.125 4.0640 1.1701 1.3125 0.875 Difference 0.00% 0.00% 0.00% 2.63% 0.00% 32.00% 21.81% - Fig E4.11.1 Division 2 Partial Jacket Comparison *The example manual uses an allowable stress value of 22400 psi. COMPRESS uses an allowable stress of 21,600 psi for SA-516 Grade 70 at 400°F. **The example manual uses equations from Detail 6. COMPRESS uses equations from Detail 4, which do not include a jacket space calculation. ***The example manual uses equations from the jacket-to-closure bar in Detail 6. COMPRESS uses closure bar-to-shell equations from Detail 4. ****The example manual does not consider jacket corrosion on the inner fillet weld. Additionally, the governing shell thickness value should consider the vessel shell thickness at the outer weld location, ts = 1". ***** COMPRESS determines the minimum required weld size for each weld individually. 127 E4.15.1 - Horizontal Vessel with Zick's Analysis a. Division 2 Determine if the stresses in the horizontal vessel induced by the proposed saddle supports are within acceptable limits. i. Comparison of results Parameter COMPRESS ASME Difference M1 * (lbf-in) -371,880.3 -356,913.7 4.19% M2 * (lbf-in) s1 (psi) s2 (psi) s3 (psi) s4 (psi) T (lbs) t2 (psi) x1, x2 (in) s6 (psi) s7 (psi) Fh (lbs) 1,388,595.9 1,414,775.7 1.85% 11,230.0 11,539.0 11,755.0 11,178.0 33,532.9 415.00 7.4302 -58.00 -653.00 10544.90 11,227.2 11,541.7 11,740.5 11,186.4 33,746.5 417.60 7.4302 -57.50 -653.40 10545.10 0.02% 0.02% 0.12% 0.08% 0.63% 0.62% 0.00% 0.87% 0.06% 0.00% Fig E4.15.1 Division 2 Horizontal Vessel with Zick's Analysis Comparison * The example manual uses ho = 16.5 in based on the outer diameter Do= 66 in using the 2:1 head ratio: 2= 𝐷𝑜 𝐷𝑜 66 → ℎ𝑜 = = = 16.5 𝑖𝑛 4 2ℎ𝑜 4 ℎ = ℎ𝑜 − 𝑡 = 16.5 − 3 = 13.5 𝑖𝑛 𝐷 → 𝐷 = 4ℎ = 4 ∗ 13.5 = 54 𝑖𝑛 2ℎ COMPRESS calculates ho as: 2= 𝐷 60 𝐷 → ℎ= = = 15 𝑖𝑛 4 4 2ℎ ℎ𝑜 = ℎ + 𝑡 = 15 + 3 = 18 𝑖𝑛 2= This difference affects the stress calculations for the vessel. 128 E4.15.2 - Vertical Vessel, Skirt Design a. Division 2 Determine if the proposed cylindrical vessel skirt is adequately designed considering the given loading conditions. i. Comparison of results Parameter COMPRESS** ASME Difference Fxa (psi) ssm, tension (psi) ssm , compression (psi) 15,144 346 -2,804 Yes 15,143.90 345.70 -2,803.90 Yes 0.00% 0.09% 0.00% - Stress acceptance satisfied? Fig E4.15.2 Division 2 Vertical Vessel with Skirt Design Comparison * In COMPRESS a vertical load of -363,500 lbs was applied to act as F6 and a lateral force was applied to act as M6 = 17,466,000 in-lbf. ** Rules for external pressure were updated in the 2019 Edition. COMPRESS results reported are from the 2017 Edition. 129 E4.16.1 - Integral Type a. Division 2 Determine if the stresses in the heat exchanger girth flange are within acceptable limits, considering the given design conditions. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbs) Wgs (lbs) 111,285.07 143,070.09 111,329.50 143,052.50 0.04% 0.01% Am (in2) 5.7228 5.7221 0.01% 13.288 13.288 0.00% 237,635.04 73,023.40 92,224.74 19,201.35 19,060.32 1.6875 0.8750 2.1563 2.2312 3.5294 1.00 206,536.80 207,930.70 17,769.0 6,152.0 5,546.0 17,889.0 6,194.0 5,584.0 Yes 0.836 0.7451 237,626.30 73,060.40 92,271.50 19,211.10 19,058.00 1.6875 0.8750 2.1563 0.7102 3.5294 1.00 206,634.60 207,923 17,777.9 6,155.4 5,547.0 17,888.8 6,193.8 5,581.5 Yes 0.8313 0.7398 0.00% 0.05% 0.05% 0.05% 0.01% 0.00% 0.00% 0.00% 214.17% 0.00% 0.00% 0.05% 0.00% 0.05% 0.06% 0.02% 0.00% 0.00% 0.04% 0.57% 0.72% 2 Ab (in ) Wg (lbs) HD (lbf) H (lbf) HT (lbf) HG (lbf) hT (lbf) hG (lbf) hD (lbf) Bs ** (in) Bsmax (in) Bsc Mo (lbf-in) Mg (lbf-in) SH (oper) (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Stress acceptance satisfied? Jo *** Jg *** Fig E4.16.1 Division 2 Integral Type Flange Design Comparison 𝜋 * The example manual uses 4 in the bolt load and flange design equations even though 0.785 is specified per ASME Section VIII, Division 2 paragraphs 4.16.6.1 Step 4 and 4.16.7.2 Step 5. COMPRESS uses 0.785. This accounts for most of the differences shown above. 130 ** Per ASME Section VIII, Division 2 paragraph 4.16.12, Bs is the bolt spacing and "may be taken as the bolt circle circumference divided by the number of bolts...". COMPRESS calculates Bs as: 𝐵𝑠 = 𝜋𝐶 𝜋 ∗ 31.25 = = 2.2312 𝑖𝑛 𝑁𝑏𝑜𝑙𝑡𝑠 44 where 𝜋*C is the bolt circle circumference (C is bolt circle diameter) and Nbolts is the number of bolts. The example calculates Bs as: 𝐵𝑠 = 𝐶 𝑁𝑏𝑜𝑙𝑡𝑠 = 31.25 = 0.7102 𝑖𝑛 44 *** Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. 131 E4.16.2 - Loose Type a. Division 2 Determine if the stresses in the ASME B16.5, Class 300, NPS 20 Slip-on Flange are within acceptable limits given the design data. i. Comparison of results Parameter COMPRESS ASME Difference Wo (lbf) Wgs (lbf) 217,916.93 61,563.70 218,005.00 61,563.70 0.04% 0.00% Am (in2) 8.7167 8.7202 0.04% 22.296 22.296 0.00% Stress acceptance satisfied? Jo **** Jg **** 387,658.47 144,140.13 173,591.06 29,450.93 44,325.87 2.9081 2.4161 3.4000 3.5343 8.3560 1.00 682,816.90 936,621.60 3,882.0 4,094.0 17,243.0 5,325.0 5,616.0 23,652.0 Yes 1.6455 1.9982 387,702.50 144,213.20 173,679.10 29,465.90 44,325.90 2.9081 2.4161 3.4000 1.1250 8.3560 1.00 683,110.50 936,728 3,622.9 4,096.9 17,248.4 4,968.0 5,617.9 23,652.3 Yes 1.6366 1.9847 0.01% 0.05% 0.05% 0.05% 0.00% 0.00% 0.00% 0.00% 214.16% 0.00% 0.00% 0.04% 0.01% 7.15% 0.07% 0.03% 7.19% 0.03% 0.00% 0.54% 0.68% Rigidity acceptance satisifed? No No N/A 2 Ab (in ) Wg (lbs) HD (lbf) H (lbf) HT (lbf) HG (lbf) hT (lbf) hG (lbf) hD (lbf) Bs ** (in) Bsmax (in) Bsc Mo (lbf-in) Mg (lbf-in) SH (oper) *** (psi) SR (oper) (psi) ST (oper) (psi) SH (gasket seating) *** (psi) SR (gasket seating) (psi) ST (gasket seating) (psi) Fig E4.16.2 Division 2 Loose Type Flange Design Comparison * The example manual uses a flange thickness of 2.44 in, which is less than the minimum required flange thickness per ASME Section VIII, Division 2 paragraph 4.16.7.2. This problem was modeled in Rating mode with t = 2.44 in and in Design mode with t = 3.5 in. The results shown here were determined in Rating mode. 132 𝜋 * The example uses 4 in the flange force equations even though 0.785 is specified per ASME Section VIII, Division 2 paragraphs 4.16.6 Step 4 and 4.16.7 Step 5. COMPRESS uses 0.785. This causes slight rounding differences for the flange forces and flange moments. ** Per ASME Section VIII, Division 2 paragraph 4.16.12, Bs is the bolt spacing and "may be taken as the bolt circle circumference divided by the number of bolts...". COMPRESS calculates Bs as: 𝐵𝑠 = 𝜋𝐶 𝜋 ∗ 27 = = 3.534 𝑖𝑛 𝑁𝑏𝑜𝑙𝑡𝑠 24 where 𝜋*C is the bolt circle circumference (C is bolt circle diameter) and Nbolts is the number of bolts. The example calculates Bs as: 𝐵𝑠 = 𝐶 𝑁𝑏𝑜𝑙𝑡𝑠 = 27 = 1.125 𝑖𝑛 24 *** The option to use B1 in place of B in the hub stress equation per ASME Section VIII, Division 2 paragraph 4.16.12 is not available in COMPRESS. B = 20.2 in is used. ****Per ASME Section II-D, Table TM-1 for SA-105 (Carbon steels with C > 0.30%), EDesign T = 25.85E+06 psi and EAmbient T = 29.2E+06 psi. The example manual shows EDesign T = 26.0E+06 psi and EAmbient T = 29.4E+06 psi. This affects the rigidity calculations. 133 E6.1 - Post-weld Heat Treatment of a Pressure Vessel a. Division 2 Establish the post-weld heat treatment (PWHT) requirements for a process tower given the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference tTop Head (in) tbottom Head (in) tshell (in) 1.6949 1.7173 3.3592 1.6949 1.7173 3.3592 0.00% 0.00% 0.00% Fig E6.1 Division 2 PWHT Governing Thickness * COMPRESS does not provide any specifications on the operation of PWHT, only the governing thickness requirements per part 6.4. In COMPRESS, PWHT is determined to be mandatory for this example and must be active for the entire vessel in order to perform the Code Calculations. Also reference the PWHT note in the Settings Summary. 134 E6.2 - Out-of-Roundness of a Cylindrical Forged Vessel a. Division 2 Establish the reduced permissible operating pressure requirements considering the following design conditions. i. Comparison of results Parameter COMPRESS ASME Difference t (in) 6.1177 6.1177 0.00% Fig E6.2 Division 2 Forged Vessel Required Thickness * COMPRESS does not currently consider out-of-roundness for vessels. However, the required thickness of the forged cylindrical shell can be calculated in COMPRESS. 135 E8.1 - Determination of a Hydrostatic Test Pressure a. Division 2 Establish the hydrostatic test pressure for a process tower considering the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference PT * (psi) Pm,top *** (psi) Pm,bottom ** (psi) Pm,cyl *** (psi) 2,343.41 33,815 33,382 2,359.50 34,163.00 N/A 35,138.00 0.68% 1.02% 5.10% 33,345 Fig E8.1 Division 2 Hydrostatic Test Pressure * COMPRESS uses updated equation in the 2019 Edition and later. ** The example manual only provides the solution for the general primary membrane stress, Pm, for the thinner head. COMPRESS shows Pm for each component. *** The example manual uses the ASME Section VIII, Division 1 membrane equations to solve for Pm for both the head and the cylindrical shell. In COMPRESS, Pm is solved using the ASME Section VIII, Division 2 paragraph 4.3 equations: 𝑃𝑚 = 𝑃 , 𝐼. 𝑅. +𝑡 ln( 𝐼. 𝑅. ) 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 [𝑒𝑞𝑛 4.3.1] 𝑃 ℎ𝑒𝑚𝑖 ℎ𝑒𝑎𝑑 [𝑒𝑞𝑛 4.3.4] ], 𝐼. 𝑅. +𝑡 ln( 𝐼. 𝑅. ) Furthermore, the example manual does not consider static head when calculating the hydrotest stresses. COMPRESS considers the horizontal head at the bottom of the vessel that exists during the test. 𝑃𝑚 = 0.5 ∗ [ 136 E8.2 - Determination of a Pneumatic Test Pressure a. Division 2 Establish the pneumatic pressure for a vessel considering the design conditions. i. Comparison of results Parameter COMPRESS ASME Difference PT (psi) Pm,top ** (psi) Pm,bottom * (psi) Pm,cyl ** (psi) 194.84 23,180.00 23,180.00 24,522.00 195.00 22,183.00 N/A 25,222.00 0.08% 4.49% -2.78% Fig E8.2 Division 2 Pneumatic Test Pressure * The example manual only provides the solution for the general primary membrane stress, Pm, for the thinner head. COMPRESS shows Pm for each component. * The example manual uses the ASME Section VIII, Division 1 membrane equations to solve for Pm for both the head and the cylindrical shell. In COMPRESS, Pm is solved using the ASME Section VIII, Division 2 paragraph 4.3 equations: 𝑃𝑚 = 𝑃 , 𝐼. 𝑅. +𝑡 ln( 𝐼. 𝑅. ) 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 [𝑒𝑞𝑛 4.3.1] 𝑃 ℎ𝑒𝑚𝑖 ℎ𝑒𝑎𝑑 [𝑒𝑞𝑛 4.3.4] ], 𝐼. 𝑅. +𝑡 ln( 𝐼. 𝑅. ) Furthermore, the example manual does not consider static head when calculating the test stresses. COMPRESS considers the horizontal head at the bottom of the vessel that exists during the test. 𝑃𝑚 = 0.5 ∗ [ 137 2.3 Taylor Forge Examples 138 Example 1 - Welding Neck Flange Design The Example 1 worksheet from the Taylor Forge booklet compared to the calculated results of COMPRESS. i. Comparison of Results Operating Seating Parameters COMPRESS Taylor Forge Difference Gasket Load Reaction Dia., G (in.) Bolt Load, Wm1 (lb) Gasket Seating Force, Hg (lb) End Moment, MD (in. lb) Gasket Load, Mg (in. lb) Face Pressure, MT (in. lb) Total Moment, Mo (in. lb) Longitudinal Hub Stress, SH (psi) Radial Flange Stress SR (psi) Tangential Flange Stress, ST (psi) Bolt Load, Wm2 (lb) 33.8876 432,268.06 71,680.05 622,976.00 111,548.50 79,201.40 813,725.90 22,854.00 10,967.00 6,483.00 120,552.82 464,084.03 722,207.60 20,283.00 9,734.00 6,074.00 33.8880 432,484.00 71,713.00 623,292.00 111,599.00 79,242.00 814,133.00 22,865.00 10,982.00 6,800.00 120,609.00 464,192.00 722,371.00 20,288.00 9,744.00 6,033.00 0.00% 0.05% 0.05% 0.05% 0.05% 0.05% 0.05% 0.05% 0.14% 0.00% 0.05% 0.02% 0.02% 0.02% 0.10% 0.68% Flange Design Bolt Load, W (lb) Total Moment Mg (in. lb) Longitudinal Hub Stress, SH (psi) Radial Flange Stress SR (psi) Tangential Flange Stress, ST (psi) Taylor Forge Example 1 Comparison of Results COMPRESS performs the flange calculations in accordance with ASME Section VIII, Division 1 Appendix 2 Section 2-3, which accounts for any differences shown above. 139 Example 2 - Slip on Flange Design - Flat Faced The Example 2 worksheet from the Taylor Forge booklet compared to COMPRESS calculations. ii. Comparison of results Operating Seating Parameters COMPRESS Taylor Forge Difference Bolt Load, Wm1 (lb) End Moment, MD (in. lb) Face Pressure, MT (in. lb) Total Moment, Mo (in. lb) Loose Type Flange Factor, VL* Longitudinal Hub Stress, SH (psi) Radial Flange Stress SR (psi) Tangential Flange Stress, ST (psi) Bolt Circle Stress, SRAD (in. lb) Bolt Load, Wm2 (lb) 96,253.64 93,258.00 17,359.70 110,617.70 41.9971 432.00 446.00 6,361.00 698.00 71,770.07 113,156.82 30,344.60 96,305.10 93,305.90 17,405.70 110,712.00 40.0000 449.98 462.27 3,608.74 698.27 71,785.50 113,190.00 30,340.70 0.05% 0.05% 0.26% 0.09% 4.99% 4.00% 3.52% 0.00% 0.00% 0.02% 0.03% 0.01% Flange Design Bolt Load, W (lb) Total Moment Mg (in. lb) Taylor Forge Example 2 Comparison of Results The loose type flange factor, VL, is interpolated in COMPRESS. The hand calculation uses an approximate value from Appendix 2 Fig. 2-7.5. This accounts for the differences in SH and SR. 140 2.4 ASCE 7-16 Figure C15.7-4 Buckling Example 141 Figure C15.7-4 Example - Section VIII, Division 2, Paragraph 4.4 The Figure C15.7-4 example problem in ASCE 7-16 compared to COMPRESS calculations. ii. Comparison of results Parameter 𝑓𝑎 * (psi) 𝑓b ** (psi) COMPRESS ASME Fca (psi) 1,280.00 25,137.00 106,327.00 32,076.00 28,100.00 1,274.00 25,072.00 106,327.00 32,076.00 28,100.00 Fba (psi) Fva (psi) Fe (psi) 32,076.00 19,559.00 80,287.00 32,076.00 19,559.00 80,287.00 0.00% 0.00% 0.00% 0.00% 4.4.12.2.i.3 Ratio 0.821 0.82 0.12% Fxe (psi) Fxa (psi) Difference 0.47% 0.26% 0.00% 0.00% Fig C15.7-4 Example Comparison of Results * Per ASME Section VIII, Division 2 paragraph 4.4.12.2.k, the cross sectional area of the skirt is computed from the following equation: A= 𝜋(Do2 − Di2) 4 The example manual evaluates, A, using the following equation: 𝜋Dot ** The example manual uses a rounded value for the design earthquake spectral response acceleration parameter at short period, SDS, of 0.733 and COMPRESS uses a value of 0.7333. Per ASME Section VIII, Division 2 paragraph 4.4.12.2.k, the section modulus of the shell is computed from the following equation: S = 𝜋(Do4 − Di4) 32 Do The example manual evaluates, A, using the following equation: 𝜋Do2t 142 The example manual uses the following simplified equation to calculate the vessel period of vibration: COMPRESS uses the Rayleigh method of approximation: 143 2.5 ASME PCC-1 Examples 144 PCC-1 Appendix O-4.3 Example Calculation i. Comparison of results Parameter O-1 (psi) O-4 (psi) O-5 (psi) O-6 (psi) O-7 (psi) O-8 (psi)* O-9 (psi) O-10 (psi) O-2 (ft-lb)** COMPRESS ASME 64,186 64,186 64,186 63,000 26,744 64,000 64,000 64,000 63,000 26,700 24,454 85,581 196,875 24,000 85,000 197,000 240 237.8 Difference 0.29% 0.29% 0.29% 0.00% 0.16% 1.86% 0.68% -0.06% -0.93% PCC-1 Appendix O-4.3 Example Comparison of Results * The ASME example and COMPRESS round the 3/4" Coarse bolt root area differently. ** The ASME example is given in rounded KSI units rather than PSI for pressure terms. 145 3. References 1. ASME B&PV Code, Section VIII, Division 1, Rules for Construction of Pressure Vessels, 2019, ASME, New York, New York, 2019. 2. ASME B&PV Code, Section VIII, Division 2, Rules for Construction of Pressure Vessels - Alternative Rules, 2019, ASME, New York, New York, 2019. 3. ASME PTB-4-2013: ASME Section VIII - Division 1 Example Problem Manual 4. ASME PTB-3-2013: ASME Section VIII - Division 2 Example Problem Manual 5. Taylor Forge Bulletin 502 Edition VII 6. ASCE/SEI 7-16, Minimum Design Loads and Associated Criteria for Buildings and Other Structures, 2017, ASCE, Reston, Virginia, 2017. 7. ASME PCC-1-2013: Guidelines for Pressure Boundary Bolted Flange Joint Assembly, 2013, ASME, New York, New York, 2013. 146 Appendix A: Certification The data and results provided in this document are in accordance with the following codes: • ASME Boiler and Pressure Vessel Code, Section VIII, Division 1, 2019 Edition. • ASME Boiler and Pressure Vessel Code, Section VIII, Division 2, 2019 Edition. The calculated results that were produced for verification are from COMPRESS Build 8000. www.codeware.com 6530 Sawyer Loop Rd. Sarasota, FL 34238 Tel. (941) 927-2670 Fax (941) 927-2459 147 All rights reserved. This publication contains proprietary information which is protected by copyright. No part of this publication may be reproduced, transcribed, translated into any language or computer language or transmitted in any form whatsoever without the prior written consent of Codeware Inc. Codeware Inc. 6530 Sawyer Loop Rd. Sarasota, Florida 34238 United States Telephone (941) 927-2670 Fax (941) 927-2459 Sales sales@codeware.com Support support@codeware.com Website https://www.codeware.com © 2013 Codeware, Inc. www.codeware.com © 2019 Codeware Inc. www.codeware.com CODEWARE ®