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ASME VIII division 1ASME VIII div.1 verification document22 August 2013 11July 1,2010 – 2011aAutoPIPE Vessel 33.1.0.11No changes05 Mar 201310July 1,2010 – 2011aMicroprotol 33.0.7.6 Feb 2013Same as Rev 9 including Bentley Inc.24 Oct 20129July 1,2010 – 2011aMicroprotol 33.0.7.5 Oct 2012Including conical head (L-6.4)UG-45 checking (L7-8)16 July 20128July 1,2010 – 2011aMicroprotol 33.0.7.2 July 201220 June 20127July 1,2010 – 2011aMicroprotol 33.0.7.1 May 201223 April 20126July 1,2010 – 2011aMicroprotol 33.0.7.0 Mar 2012Editing modification15 Feb 20125July 1,2010 – 2011aMicroprotol 33.0.6.0 Jan 2012Code release17 Feb 20114July 1,2010Microprotol 33.0.1.0 Feb 2011Code release misc developpements02 Nov 20093July 1,2009Microprotol 32.8.8.2 Oct 2009Add expansion joint calc. upd. code25 Mar 20092July 1,2008Microprotol 32.8 April 2009Check add examples15 Dec 20081July 1,2008Microprotol 32.8 Nov 2008Check new material data base15 May 20080July 1,2007Microprotol 32.7 April 2008Initial issueDateRevASME VIII div. 1 Edit.Software releaseCommentsAutoPIPE Vessel (Microprotol)procal V33.1.0.111prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1Table of contentsIntroduction3Appendix L-2 [Thickness Calculation for shells under internal pressure with supplemental loadings ]4L-2.3.1 – L-2.3.2Appendix L-3 [Vessels under External Pressure ]L-3.1L-3.2L-3.3 without stiffening ringL-3.3 with stiffening rings4556712Appendix L-5 [Design of circumferential stiffening ring and attachment weld for a cylindrical shell under ExternalPressure]15L-5.1 (using stiffening ring of 2 in. x 3.75 in.)16Appendix L-6 [Required thickness for formed heads with pressure on the convex side]L-6.1L-6.2 [t 0.5 in.]L-6.2 [t 0.5625 in.]L-6.3L-6.4 [t 0.75 in.]L-6.4 [t 0.563 in.]18192021222324Appendix L-7 [Openings and reinforcements]25L-7.1L-7.2 (without reinforcing plate)L-7.2 (with reinforcing plate of 3 in. wide x 0.375 in. thickL-7.2 (with reinforcing plate of 3.125 in. wide and 0.375 in. thick)L-7.4L-7.5L-7.6L-7.7 (nozzle thickness 1/2 in.)L-7.7 (nozzle thickness 7/8 in.)L-7.8 UG-4526293133353841434547Part UHX50UHX-20.1.1 Tubesheet Integral with Shell and Channel51UHX-20.1.2 Tubesheet gasketed with Shell and Channel56UHX-20.1.4 Tubesheet gasketed with Shell and Integral with Channel extended as a flange60UHX-20.2.1 Tubesheet integral with Shell and gasketed with Channel extended as a flange63UHX-20.2.3 Fixed Tubesheet Exchanger , Configuration a70UHX-20.3.1 Stationary Tubesheet Gasketed With Shell and Channel; Floating Tubesheet Gasketed, Not extended as aFlange78Other calculations81Welding Neck Flange ( Taylor Forge Bulletin)ASME VIII Div.1 2010 App. 26 Unreinforced BellowsAutoPIPE Vessel (Microprotol)procal V33.1.0.1182852prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1IntroductionThis document is a part of the AutoPIPE Vessel validation procedure intended to demonstrate the application of theASME VIII div 1 Code through the examples provided in the various parts of Code.AutoPIPE Vessel input data files used are printed front of the paragraph reference :Appendix L-2 :Paragraph L-2.3.1 – L-2.3.2 :L-2.3.emvdParagraph L-3.1 :Paragraph L-3.2 :Paragraph L-3.3 :L-3 1.emvdL-3 2.emvdL-3.3 without stiffener.emvdL-3 3.emvdParagraph L-5.1 :L-5 1.emvdParagraph L-6.1 :Paragraph L-6 2L-6 1.emvdL-6 2 1.emvd for L-6 2 [t 0.5 in.]L-6 2 2.emvd for L-6 2 [t 0.525 in.]L-6 3.emvdL-6 4 1.emvd for L-6 4 [t 0.75 in.]L-6 4 2.emvd for L-6 4 [t 0.563 in.]Appendix L-3 :Appendix L-5 :Appendix L-6 :Paragraph L-6 3 :Paragraph L-6 4 :Appendix L-7 :Paragraph L-7.1 :Paragraph L-7 2 without reinforcing plate:Paragraph L-7 2 with reinforcing plate :Paragraph L-7.4 :Paragraph L-7.5 :Paragraph L-7.6 :Paragraph L-7.7 :Paragraph L-7.8 UG-45 :UHX-20.1 Examples of UHX-12 for U-Tube Tubesheets :UHX-20.1.1 Example 1 :UHX-20.1.2 Example 2 :UHX-20.1.4 Example 4 :UHX-20. 2 Examples of UHX-13 for Fixed Tubesheets :UHX-20.2.1 Example 1 :UHX-20.2.3 Example 3 :UHX-20. 3 Examples of UHX-14 for Floating Tubesheets :UHX-20.3.1 Example 1 :L-7 1.emvdL-7 2 without reinf.emvdL-7 2 with reinf.emvd 3 in x 0.375 inL-7 2 with reinf incr.emvd 3.125 in x 0.375 inL-7 4.emvdL-7 5.emvdL-7 6.emvdL-7 7-1.emvd (thk ½ in.)L-7 7-1 nozzle thk inc.emvd (thk 7/8 in.)L-7 r calculations :Taylor Forge calculation method for flange :Unreinforced bellows (Annex 26) :AutoPIPE Vessel (Microprotol)procal V33.1.0.11Flange Welding Neck.emvd26-14-1-1.emvd3prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1Appendix L-2 [Thickness Calculation for shells under internal pressure with supplementalloadings ]L-2.3.1 – L-2.3.2Conical shell (30.23) internal pressure.ASME VIII DIV.1 2010 - 2011at minimum required thicknessP internal pressureD inside diameter at large endα Half apex angletmin t Ca Tol% shall be tn[UG-32(g)]t P(D 2Ca)/[2cosα(SE-0.6P)]σ P((D 2Ca) 1.2tacosα)/(2Etacosα)PlateD 200 inα 30 P (psi)Ph (psi)OperationN500MAWP (650 F, Corroded) 56.3 psiSA387GR2CL2tn 0.4380 inE Joint efficiencyT Temperatureσ circular stressPa Max. allowable pressurePh Hydrostatic pressuretn nominal thicknessS Allowable stressCa corrosion toleranceTol% tolerance for pipesta (tn Tol%)-Ca shall be tTol% /Cor. 0 inT ( F)S (psi)65017 500Pa 2SEtacosα/((D 2Ca) 1.2tacosα)Schedule : /DN : /PWHT : No Radiography : SpotTol. 0 inUG-16(b) 0.0625 inEta (in)Pa (psi)t (in)tmin (in)σ (psi)0.85 0.4380 15 54356.30.38890.3889MAWP (70 F, new) 64.4 psiAppendix 1-5(d)QL PRL/2 f1k max(1, y/SrEr)OperationOperationArL kQLRL(1- /α) tan α / (SsE1)AeL (ts-t) (RLts)0.5 (tc-tr) (RLtc /cos α)0.5y Ss E sReinforcing ring : Plate 15 0.5Aring 7.5 in2P (psi)Ss (psi)E1t (in)tc (in)tr (in)ts (in)RL (in) N5017 500117.57 0.28620.43800.38890.3130 100.000kf1(max) (lbf/in)f1(min) (lbf/in) QL(max) (lbf/in) QL(min) (lbf/in)ArL (in2)AeL (in2)N 1.207250.0274-283.01452 750.02602 216.98504.540.5the junction is adequately reinforcedAppendix 1-5(e)QS PRS/2 f2k max(1, y/SrEr)OperationOperationArS kQSRS(1- /α) / (SsE1)AeS 0.78 (RSts)0.5 [(ts-t) (tc-tr) /cos α)]y Ss E sReinforcing ring : Plate 15 0.5Aring 7.5 in2P (psi)Ss (psi)E1t (in)tc (in)tr (in)ts (in)RS (in) N5017 50014.57 0.14310.43800.19450.188050.000kf2(max) (lbf/in)f2(min) (lbf/in) QS(max) (lbf/in) QS(min) (lbf/in)ArS (in2)AeS (in2)N 1.20762.6374-93.56021 312.63701 156.43902.220.78the junction is adequately reinforced[UCS-79] : % extreme fiber elongation 50 tn / Rf ( 1 - Rf / Ro ) 0.44 % ( Rf 50.219 in ; Ro )AutoPIPE Vessel (Microprotol)procal V33.1.0.114prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1Appendix L-3 [Vessels under External Pressure ]Comment for reading of external pressure curvesASME curves for external pressure have been checked using stored vertex to redraw the curve on a transparency supportvisually compared to the Code original. Storage AutoPIPE Vessel file is “courbvid.emsd”, located in“AutoPIPE Vessel\Calcul\Data” directory.AutoPIPE Vessel uses logarithmic interpolation to determine the value of B.L-3.1External Pressure - Shell (Section No. 1) (in operation)Ends of section :Bottom :top :Support line level : 0.0000 inSupport line level : 39.0000 inElements considered :Tag001 31.05 ViroleDiameterThickness(in)(in)168.6250.3125ASME VIII DIV.1External Pressure : P 15 psiAllowable stress : S 14 257.2 psiUnsupported shell length : 39 inDiameter of section : Do 168.625 inChecked thickness : t 0.3125 inDo/t 4 : A (Subpart 3 Section II Part D Fig.G) 0.000491 (psi)24 500 060.0VacuumcurveTemperature( F)CS-2700 FDesign Temperature : 700 Fmodulus of elasticity : E 24 500 060 psiPipe, tolerance on the new thickness : c1 /Vacuum curve : CS-2UG-28 (c) Cylindrical shell with straight circular sectionL 39 inL/Do 0.231Do/t 4 : A min 0.10,modulus ofelasticityDo/t 539.64 BDo/t 10 : Pa 3 D to 2.167 2S 1 1 0.0833 B ; DtDtD oo t o 1.1 /(Do / t )2 Do/t 10 : Pa min B (Subpart 3 Section II Part D or AE/2) 6 054.676 psiPa 14.961 psi P INSUFFICIENT THICKNESSMinimum required thickness 0.313 inCommentsSee “Comment for reading of external pressure curves”.Rounded value in ASME example of Do/t 540 is used.AutoPIPE Vessel (Microprotol)procal V33.1.0.115prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1L-3.2External Pressure - Hemispherical head (Section No.2)(in operation)Elements considered :Tag002 03ASME VIII DIV.1 2010 – 2011a UG-33External Pressure : P 20 psiMaterial : SB209-A93003-H112Vacuum curve : NFA-1Nominal thickness : tn 0.5 inChecked thickness : t 0.5 inoutside height : ho /DiameterThickness(in)(in)72.0000.5000modulus ofelasticity(psi)10 000 000.0VacuumcurveTemperature( F)NFA-1100 Fmodulus of elasticity : E 10 000 000 psiCorrosion : 0 inTolerance : 0 inExternal Diameter : Do 73 inoutside radius : Ro 36.5 inAxis ratio : Do/(2ho) /(c) Hemispherical headsUG-28 (d) : A 0.125 0.001712Ro tB (Subpart 3 Section II Part D or 0.0625E/(Ro/t)) 1 763.745 psiPa B 24.161 psi PRo tCommentsSee “Comment for reading of external pressure curves”.AutoPIPE Vessel (Microprotol)procal V33.1.0.116prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1L-3.3 without stiffening ringExternal Pressure – Cone (Section N 2)(in operation)Ends of section :Bottom :top :Cone-to-cylinder junction without stiffening ringCone-to-cylinder junction without stiffening ringSupport line level : 250.0000 inSupport line level : 380.0000 inElements considered :Tag005 30.23 Cône de calandreDiameterThickness(in)(in)0.0001.2500ASME VIII DIV.1 2010 – 2011aExternal Pressure : P 50 psiAllowable stress : S 15 000 psiUnsupported shell length : 130 inChecked thickness : t 1.25 inElement diameter at large end : DL 202.5 in CS-2650 FDL /te 187.0274 BDL /te 10 : Pa 3 DL teDL /te 10 : Pa MIN B (Subpart 3 Section II Part D or AE/2) 9 414.372 psiprocal V33.1.0.11Temperature( F) 2.167 2S 0.0833 B ; Dt DL te L e1.1 /(Do / t )2 AutoPIPE Vessel (Microprotol)(psi)25 125 030.0te t cos(α) 1.083 inDL/te 10 : A (Subpart 3 Section II Part D Fig.G) 0.001447 VacuumcurveDesign Temperature : 650 Fmodulus of elasticity : E 25 125 030 psihalf opening angle of conical shell : α 29.98 Vacuum curve : CS-2Element diameter at small end : Ds 50.75 inUG-33(f) Conical shell with straight circular sectionL 130 inLe /DL 0.401Fig. UG-33.1 Le 81.29 inDL/te 10 : A min 0.10,modulus ofelasticity 1 1 DL te Pa 67.116 psi P7prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1External Pressure – Large cylinder-to-cone junction (Section No. 2) (in operation)ASME VIII DIV. 2010 - 2011a APPENDIX 1-8Junction without knuckle, without stiffenerInternal corroded radius of knuckle : rt 0 inShell adjacent to the junction, element No. : 4Cone adjacent to junction, element number : 5External Pressure : P 50 psiCylindrical shellMaterial : SA516GR70Nominal stress : Ss 17 500 psiVacuum curve : CS-2Nominal thickness : tsn 1.25 inChecked thickness : ts 1.25 inExternal Diameter : DL 202.5 inConical shellMaterial : SA516GR60Nominal stress : Sc 15 000 psiVacuum curve : CS-2Nominal thickness : tcn 1.25 inChecked thickness : tc 1.25 inStiffenerType and dimensions : /Nominal stress : Sr /Vacuum curve : /Cross-sectional area : As /Angle : α 29.98 Calculation length of cylinders element : LL 250 inCalculation length of cones element : L 130 inTemperature : 650 Fmodulus of elasticity : Es 25 125 ksiLongitudinal Joint Efficiency : E1 0.85Corrosion : 0 inTolerance : 0 inExternal radius : RL 101.25 inTemperature : 650 Fmodulus of elasticity : Ec 25 125 ksiCorrosion : 0 inTolerance : 0 inMaterial : /Temperature : /modulus of elasticity : Er /Diameter of shell at centroid elevation : De /Checking junction’s areaP/SsE1 0.0034 5.91 α Reinforcement of large end intersectionk 1f1 249.901 lbf/inkQ R tan α 1 PRL QLArL L L 1 4 S s E1QL 10.48 in2 α QL PRL/2 f1 2 781.151 lbf/inAeL 0.55 DLt s (t s tc cos α ) 23.566 in2AeL As 23.566 in2 ArLChecking the junction’s moment of inertiaM RL tan α LLR 2 Rs2 150.619 in L22 3RL tan αLc L2 (RL Rs )2 150.522 in ATL FL PM f1 tan α 7 675.119 lbf/inf1 249.901 lbf/inLL t s Lctc2 As 250.327 in22A (Subpart 3 Section II Part D FIG.G) 0.000368Is ADL2 ATL /14B 3 FL DL 4 656.55 psi4 ATLIs′ ADL2 ATL 346.49 in410.9I ' 64.39 in4 Is 'AutoPIPE Vessel (Microprotol)procal V33.1.0.118prodia2 V33.1.0.11 Bentley Systems, Inc.
ASME VIII division 1CommentsAngle of cone : α arc tg[((200-50)/2) /130] 29.98164 (30 in ASME example)tg a [(200-50)/2) /130] 0.576923(value of ASME based on angle of 30 )P/SsE1 50/(17500x0.85) 0.00336According to Table 1-8.1, P/SsE1 0.002 5 P/SsE1 0.005 7 For P/SsE1 0.00336 , 5 (7-5) x [(0.00336-0.002)/(0.005-0.002)] 5.9066 (ASME Example value is 5.93 ).No additional area of reinforcement k 1f1 obtains by load due to wind and external load. No detail in ASME example.QL 50x101.25/2 249.904 2 781.154 lbf/inArL 1x 2781.154 x101.25 x0.576923 1 50 x101.25 2781.154 5.9066 2 1 4 10.4798 in17500 x0.852781.15429.98 AeL 0.55 202.5 x1.25 (1.25 1.25 cos( 30 )) 23.5685 in2 ArL Junction area checked 101.25 x0.576923 250 101.25 2 25.375 2 150.61895 in 223x101.25 x0.576923FL 50 x 150.61895 249.904 x 0.576923 7675.12286 lbf/inM Lc (130 )2 (101.25 25.375 )2 150.522475 in250 x1.25 150.522475 x1.25 250.32655 in2 (rounded value in ASME example)223 7675.12286 x 202.5B x 4656.554754250.32655A from Fig CS-2 0.000368 (see “Comment for reading of external pressure curves”).ATL As there is no stiffene
ASME VIII division 1 AutoPIPE Vessel (Microprotol) . External Pressure - Shell (Section No. 1) (in operation) Ends of section : Bottom : Support line level : 0.0000 in top : Support line level : 39.0000 in Elements considered : Tag Diameter Thickness modulus of elasticity Vacuum curve Temperature (in) (in) (psi) ( F) 001 31.05 Virole 168.625 0.3125 24 500 060. 0 CS-2 700 F ASME VIII DIV.1 .
