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ASME BPVC 2013 - Section VIII, Division 2: Alternative Rules PDF

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2013 ASME Boiler and Pressure Vessel Code AN INTERNATIO NAL C ODE VIII Rules for Construction of Pressure Vessels Division 2 Alternative Rules AN INTERNATIONAL CODE 2013 ASME Boiler & Pressure Vessel Code 2013 Edition July 1, 2013 VIII RULES FOR CONSTRUCTION OF PRESSURE VESSELS Division 2 Alternative Rules ASME Boiler and Pressure Vessel Committee on Pressure Vessels Two Park Avenue (cid:129) New York, NY (cid:129) 10016 USA DateofIssuance:July1,2013 ThisinternationalcodeorstandardwasdevelopedunderproceduresaccreditedasmeetingthecriteriaforAmer- icanNationalStandardsanditisanAmericanNationalStandard.TheStandardsCommitteethatapprovedthecode orstandardwasbalancedtoassurethatindividualsfromcompetentandconcernedinterestshavehadanoppor- tunitytoparticipate.Theproposedcodeorstandardwasmadeavailableforpublicreviewandcommentthatpro- vides an opportunity for additional public input from industry, academia, regulatory agencies, and the public- at-large. ASME does not “approve,”“rate,” or“endorse” any item, construction, proprietary device, oractivity. ASMEdoesnottakeanypositionwithrespecttothevalidityofanypatentrightsassertedinconnectionwithany itemsmentionedinthisdocument,anddoesnotundertaketoinsureanyoneutilizingastandardagainstliabilityfor infringement of any applicable letters patent, nor assume any such liability. Users of a code or standard are ex- pressly advised that determination of the validity of any such patent rights, and the risk of infringement of such rights, is entirely theirown responsibility. Participationbyfederalagencyrepresentative(s)orperson(s)affiliatedwithindustryisnottobeinterpretedas government or industry endorsementof this code or standard. ASMEacceptsresponsibilityforonlythoseinterpretationsofthisdocumentissuedinaccordancewiththeestab- lished ASME procedures and policies, which precludes the issuance of interpretationsby individuals. The endnotes in this document (if any) arepartof this American National Standard. ASMEcollectivemembershipmark CertificationMark TheaboveASMEsymbolisregisteredintheU.S.PatentOffice. “ASME”isthetrademarkofTheAmericanSocietyofMechanicalEngineers. Nopartofthisdocumentmaybereproducedinanyform,inanelectronicretrieval systemorotherwise,withoutthepriorwrittenpermissionofthepublisher. LibraryofCongressCatalogCardNumber:563934 PrintedintheUnitedStatesofAmerica AdoptedbytheCouncilofTheAmericanSocietyofMechanicalEngineers,1914;latestedition2013. TheAmericanSocietyofMechanicalEngineers TwoParkAvenue,NewYork,NY100165990 Copyright©2013by THEAMERICANSOCIETYOFMECHANICALENGINEERS Allrightsreserved TABLE OF CONTENTS ListofSections ................................................................................ xvi Foreword ..................................................................................... xviii StatementofPolicyontheUseoftheCertificationMarkandCodeAuthorizationinAdvertising ............ xx StatementofPolicyontheUseofASMEMarkingtoIdentifyManufacturedItems ........................ xx SubmittalofTechnicalInquiriestotheBoilerandPressureVesselStandardsCommittees ................. xxi Personnel ..................................................................................... xxiii SummaryofChanges ........................................................................... xxxviii ListofChangesinRecordNumberOrder .......................................................... xlvi Cross-ReferencingandStylisticChangesintheBoilerandPressureVesselCode ......................... l Part1 GeneralRequirements .......................................................... 1 1.1 General ........................................................................ 1 1.2 Scope .......................................................................... 1 1.3 StandardsReferencedbyThisDivision ............................................. 4 1.4 UnitsofMeasurement ........................................................... 4 1.5 Tolerances ..................................................................... 5 1.6 TechnicalInquiries .............................................................. 5 1.7 Tables ......................................................................... 5 Annex1-A .............................................................................. 7 Annex1-B Definitions .................................................................... 8 Annex1-C GuidanceForTheUseOfU.S.CustomaryAndSIUnitsInTheASMEBoilerAndPressure VesselCodes ................................................................. 10 Part2 ResponsibilitiesandDuties ..................................................... 16 2.1 General ........................................................................ 16 2.2 UserResponsibilities ............................................................ 16 2.3 Manufacturer’sResponsibilities ................................................... 18 2.4 TheInspector ................................................................... 20 Annex2-A GuideForCertifyingAUser’sDesignSpecification ................................ 21 Annex2-B GuideForCertifyingAManufacturer’sDesignReport ............................. 23 Annex2-C ReportFormsandMaintenanceofRecords ....................................... 25 Annex2-D GuideForPreparingManufacturer’sDataReports ................................ 27 Annex2-E QualityControlSystem ......................................................... 37 Annex2-F ContentsandMethodofStamping ............................................... 40 Annex2-G ObtainingAndUsingCertificationMarkStamps ................................... 44 Annex2-H GuidetoInformationAppearingontheCertificateofAuthorization ................ 46 Annex2-I EstablishingGoverningCodeEditionsandCasesforPressureVesselsandParts ..... 49 Part3 MaterialsRequirements ........................................................ 50 3.1 GeneralRequirements ........................................................... 50 3.2 MaterialsPermittedForConstructionofVesselParts ................................. 50 3.3 SupplementalRequirementsforFerrousMaterials ................................... 57 3.4 SupplementalRequirementsforCr–MoSteels ....................................... 58 3.5 SupplementalRequirementsforQ&TSteelswithEnhancedTensileProperties ........... 59 iii 3.6 SupplementalRequirementsforNonferrousMaterials ................................ 60 3.7 SupplementalRequirementsforBolting ............................................ 61 3.8 SupplementalRequirementsforCastings ........................................... 63 3.9 SupplementalRequirementsforHubsMachinedFromPlate ........................... 65 3.10 MaterialTestRequirements ....................................................... 66 3.11 MaterialToughnessRequirements ................................................. 68 3.12 AllowableDesignStresses ........................................................ 80 3.13 StrengthParameters ............................................................. 80 3.14 PhysicalProperties .............................................................. 80 3.15 DesignFatigueCurves ........................................................... 80 3.16 DesignValuesforTemperaturesColderThan−30°C(−20°F) ........................... 80 3.17 Nomenclature .................................................................. 80 3.18 Definitions ..................................................................... 81 3.19 Tables ......................................................................... 81 3.20 Figures ........................................................................ 90 Annex3-A AllowableDesignStresses ...................................................... 111 Annex3-B RequirementsforMaterialProcurement ......................................... 133 Annex3-C ISOMaterialGroupNumbers .................................................... 134 Annex3-D StrengthParameters ........................................................... 135 Annex3-E PhysicalProperties ............................................................. 142 Annex3-F DesignFatigueCurves .......................................................... 143 Part4 DesignbyRuleRequirements ................................................... 151 4.1 GeneralRequirements ........................................................... 151 4.2 DesignRulesforWeldedJoints .................................................... 157 4.3 DesignRulesforShellsUnderInternalPressure ..................................... 187 4.4 DesignofShellsUnderExternalPressureandAllowableCompressiveStresses ........... 215 4.5 DesignRulesforOpeningsinShellsandHeads ...................................... 240 4.6 DesignRulesforFlatHeads ....................................................... 273 4.7 DesignRulesforSphericallyDishedBoltedCovers ................................... 282 4.8 DesignRulesforQuick-Actuating(QuickOpening)Closures ........................... 292 4.9 DesignRulesforBracedandStayedSurfaces ........................................ 293 4.10 DesignRulesforLigaments ....................................................... 296 4.11 DesignRulesforJacketedVessels .................................................. 302 4.12 DesignRulesforNoncircularVessels ............................................... 316 4.13 DesignRulesforLayeredVessels .................................................. 363 4.14 EvaluationofVesselsOutsideofTolerance .......................................... 381 4.15 DesignRulesforSupportsandAttachments ......................................... 382 4.16 DesignRulesforFlangedJoints .................................................... 399 4.17 DesignRulesforClampedConnections ............................................. 423 4.18 DesignRulesforShellandTubeHeatExchangers .................................... 431 4.19 DesignRulesforBellowsExpansionJoints .......................................... 487 4.20 DesignRulesforFlanged-and-FluedorFlanged-OnlyExpansionJoints .................. 518 Annex4-A .............................................................................. 521 Annex4-B GuidefortheDesignandOperationofQuick-Actuating(Quick-Opening)Closures ... 522 Annex4-C BasisForEstablishingAllowableLoadsForTube-To-TubesheetJoints .............. 525 Annex4-D GuidancetoAccommodateLoadingsProducedbyDeflagration ..................... 533 Part5 DesignbyAnalysisRequirements ................................................ 535 5.1 GeneralRequirements ........................................................... 535 5.2 ProtectionAgainstPlasticCollapse ................................................. 536 5.3 ProtectionAgainstLocalFailure ................................................... 541 iv 5.4 ProtectionAgainstCollapseFromBuckling .......................................... 542 5.5 ProtectionAgainstFailureFromCyclicLoading ...................................... 543 5.6 SupplementalRequirementsforStressClassificationinNozzleNecks ................... 555 5.7 SupplementalRequirementsforBolts .............................................. 556 5.8 SupplementalRequirementsforPerforatedPlates .................................... 556 5.9 SupplementalRequirementsforLayeredVessels ..................................... 556 5.10 ExperimentalStressAnalysis ...................................................... 557 5.11 FractureMechanicEvaluations .................................................... 557 5.12 Definitions ..................................................................... 557 5.13 Nomenclature .................................................................. 559 5.14 Tables ......................................................................... 563 5.15 Figures ........................................................................ 571 Annex5-A LinearizationOfStressResultsForStressClassification ........................... 574 Annex5-B HistogramDevelopmentAndCycleCountingForFatigueAnalysis .................. 591 Annex5-C AlternativePlasticityAdjustmentFactorsAndEffectiveAlternatingStressForElastic FatigueAnalysis ............................................................. 594 Annex5-D StressIndices .................................................................. 599 Annex5-E DesignMethodsForPerforatedPlatesBasedOnElasticStressAnalysis ............. 606 Annex5-F ExperimentalStressandFatigueAnalysis ........................................ 637 Part6 FabricationRequirements ...................................................... 644 6.1 GeneralFabricationRequirements ................................................. 644 6.2 WeldingFabricationRequirements ................................................. 649 6.3 SpecialRequirementsforTube-To-TubesheetWelds .................................. 654 6.4 PreheatingandHeatTreatmentofWeldments ....................................... 654 6.5 SpecialRequirementsForCladorWeldOverlayLinings,andLinedParts ................ 659 6.6 SpecialRequirementsforTensilePropertyEnhancedQandTFerriticSteels ............. 660 6.7 SpecialRequirementsforForgedFabrication ........................................ 664 6.8 SpecialFabricationRequirementsforLayeredVessels ................................ 668 6.9 SpecialFabricationRequirementsforExpansionJoints ................................ 670 6.10 Nomenclature .................................................................. 671 6.11 Tables ......................................................................... 672 6.12 Figures ........................................................................ 690 Annex6-A PositiveMaterialIdentificationPractice .......................................... 696 Part7 InspectionandExaminationRequirements ....................................... 704 7.1 General ........................................................................ 704 7.2 ResponsibilitiesandDuties ....................................................... 704 7.3 QualificationofNondestructiveExaminationPersonnel ............................... 704 7.4 ExaminationofWeldedJoints ..................................................... 705 7.5 ExaminationMethodandAcceptanceCriteria ........................................ 710 7.6 FinalExaminationofVessel ....................................................... 717 7.7 LeakTesting .................................................................... 717 7.8 AcousticEmission ............................................................... 717 7.9 Tables ......................................................................... 718 7.10 Figures ........................................................................ 729 Annex7-A ResponsibilitiesandDutiesforInspectionandExaminationActivities .............. 744 Part8 PressureTestingRequirements ................................................. 749 8.1 GeneralRequirements ........................................................... 749 8.2 HydrostaticTesting .............................................................. 751 8.3 PneumaticTesting ............................................................... 752 v 8.4 AlternativePressureTesting ...................................................... 753 8.5 Documentation ................................................................. 753 8.6 Nomenclature .................................................................. 754 Part9 PressureVesselOverpressureProtection ........................................ 755 9.1 GeneralRequirements ........................................................... 755 9.2 PressureReliefValves ........................................................... 756 9.3 Non-ReclosingPressureReliefDevices ............................................. 756 9.4 CalculationofRatedCapacityforDifferentRelievingPressuresand/orFluids ............ 756 9.5 MarkingandStamping ........................................................... 757 9.6 ProvisionsforInstallationofPressureRelievingDevices .............................. 757 9.7 OverpressureProtectionbyDesign ................................................ 757 Annex9-A BestPracticesfortheInstallationandOperationofPressureReliefDevices ......... 758 FIGURES 2-F.1 FormofStamping ................................................................... 43 2-H.1 SampleCertificateofAuthorization .................................................... 48 3.1 Cr-MoHeatTreatmentCriteria ........................................................ 90 3.2 TypicalLocationsforTensileSpecimens ................................................ 91 3.3 CharpyV-NotchImpactTestRequirementsforFull-SizeSpecimensforCarbonandLowAlloySteels AsaFunctionoftheMinimumSpecifiedYieldStrength–PartsNotSubjecttoPWHT ........ 91 3.3M CharpyV-NotchImpactTestRequirementsforFull-SizeSpecimensforCarbonandLowAlloySteels AsaFunctionoftheMinimumSpecifiedYieldStrength–PartsNotSubjecttoPWHT ........ 92 3.4 CharpyV-NotchImpactTestRequirementsforFull-SizeSpecimensforCarbonandLowAlloySteels AsaFunctionoftheMinimumSpecifiedYieldStrength–PartsSubjecttoPWHT ........... 93 3.4M CharpyV-NotchImpactTestRequirementsforFull-SizeSpecimensforCarbonandLowAlloySteels AsaFunctionoftheMinimumSpecifiedYieldStrength–PartsSubjecttoPWHT ........... 94 3.5 IllustrationofLateralExpansioninaBrokenCharpyV-NotchSpecimen ..................... 95 3.6 LateralExpansionRequirements ...................................................... 96 3.6M LateralExpansionRequirements ...................................................... 96 3.7 ImpactTestExemptionCurves–PartsNotSubjecttoPWHT .............................. 97 3.7M ImpactTestExemptionCurves–PartsNotSubjecttoPWHT .............................. 98 3.8 ImpactTestExemptionCurves-PartsSubjecttoPWHTandNon-weldedParts ............... 99 3.8M ImpactTestExemptionCurves-PartsSubjecttoPWHTandNon-weldedParts ............... 100 3.9 TypicalVesselDetailsIllustratingTheGoverningThickness ............................... 102 3.10 TypicalVesselDetailsIllustratingtheGoverningThickness ................................ 103 3.11 TypicalVesselDetailsIllustratingtheGoverningThickness ................................ 104 3.12 ReductionintheMDMTwithoutImpactTesting–PartsNotSubjecttoPWHT ................ 105 3.12M ReductionintheMDMTwithoutImpactTesting–PartsNotSubjecttoPWHT ................ 106 3.13 ReductionintheMDMTwithoutImpactTesting-PartsSubjecttoPWHTandNon-weldedParts 107 3.13M ReductionintheMDMTwithoutImpactTesting-PartsSubjecttoPWHTandNon-weldedPartsfor Figures3.12,3.12M,3.13,and3.13M ................................................. 108 3.14 OrientationandLocationofTransverseCharpyV-NotchSpecimens ......................... 109 3.15 WeldMetalDeltaFerriteContent ...................................................... 110 4.2.1 WeldJointLocationsTypicalOfcategoriesA,B,C,D,andE ................................ 183 4.2.2 SomeBracket,LugandStiffenerAttachmentWeldDetails ................................. 183 4.2.3 SomeAcceptableMethodsofAttachingStiffeningRings ................................... 185 4.2.4 SomeAcceptableSkirtWeldDetails .................................................... 186 4.3.1 ConicalShell ........................................................................ 208 4.3.2 OffsetTransitionDetail .............................................................. 208 4.3.3 TorisphericalHeadofUniformThickness ............................................... 209 4.3.4 TorisphericalHeadofDifferentThicknessofDomeandKnuckle ........................... 209 4.3.5 EllipsoidalHead ..................................................................... 209 4.3.6 LocalThinBandinaCylindricalShell .................................................. 210 4.3.7 ShellsSubjectedtoSupplementalLoadings .............................................. 211 4.3.8 ConicalTransitionDetails ............................................................ 212 vi 4.3.9 ReinforcementRequirementsforConicalTransitionJunction .............................. 213 4.3.10 ParametersforKnuckleandFlareDesign ............................................... 214 4.4.1 LinesofSupportorUnsupportedLengthforTypicalVesselConfigurations .................. 233 4.4.2 LinesofSupportorUnsupportedLengthforUnstiffenedandStiffenedCylindricalShells ....... 234 4.4.3 StiffenerRingParameters ............................................................ 235 4.4.4 VariousArrangementsofStiffeningRingsforCylindricalVesselsSubjectedtoExternalPressure 236 4.4.5 MaximumArcofShellLeftUnsupportedBecauseofaGapintheStiffeningRingofaCylindricalShell UnderExternalPressure ........................................................... 237 4.4.6 LinesofSupportorUnsupportedLengthforUnstiffenedandStiffenedConicalShells .......... 238 4.4.7 LinesofSupportorUnsupportedLengthforUnstiffenedandStiffenedConicalShellTransitionswith orwithoutaKnuckle .............................................................. 239 4.5.1 NomenclatureforReinforcedOpenings ................................................. 262 4.5.2 NomenclatureforVariableThicknessOpenings .......................................... 263 4.5.3 RadialNozzleinaCylindricalShell .................................................... 264 4.5.4 HillsideNozzleinaCylindricalShell ................................................... 265 4.5.5 NozzleinaCylindricalShellOrientedatanAnglefromtheLongitudinalAxis ................ 266 4.5.6 RadialNozzleinaConicalShell ....................................................... 267 4.5.7 NozzleinaConicalShellOrientedPerpendiculartotheLongitudinalAxis ................... 268 4.5.8 NozzleinaConicalShellOrientedParalleltotheLongitudinalAxis ......................... 269 4.5.9 RadialNozzleinaFormedHead ....................................................... 270 4.5.10 HillsideorPerpendicularNozzleinaFormedHead ...................................... 270 4.5.11 ExampleofTwoAdjacentNozzleOpenings .............................................. 271 4.5.12 ExampleofThreeAdjacentNozzleOpenings ............................................ 271 4.5.13 MetalAreaDefinitionforA withVariableThicknessofSet-inNozzles ...................... 272 2 4.5.14 MetalAreaDefinitionforA withVariableThicknessofSet-onNozzles ..................... 273 2 4.6.1 IntegralFlatheadWithaLargeCentralOpening ......................................... 282 4.7.1 TypeADishedCoverwithaBoltingFlange ............................................. 290 4.7.2 TypeBSphericallyDishedCoverwithaBoltingFlange ................................... 290 4.7.3 TypeCSphericallyDishedCoverwithaBoltingFlange ................................... 291 4.7.4 TypeDSphericallyDishedCoverwithaBoltingFlange ................................... 291 4.7.5 TypeDHeadGeometryforAlternativeDesignProcedure ................................. 292 4.9.1 TypicalFormsofWeldedStaybolts .................................................... 295 4.10.1 ExampleofTubeSpacingWiththePitchofHolesEqualinEveryRow ...................... 297 4.10.2 ExampleofTubeSpacingWiththePitchofHolesUnequalinEverySecondRow .............. 298 4.10.3 ExampleofTubeSpacingWiththePitchofHolesVaryinginEverySecondandThirdRow ..... 298 4.10.4 ExampleofTubeSpacingWiththeTubeHolesonDiagonalLines .......................... 299 4.10.5 DiagramforDeterminingtheEfficiencyofLongitudinalandDiagonalLigamentsBetweenOpenings inCylindricalShells ............................................................... 300 4.10.6 DiagramforDeterminingtheEquivalentEfficiencyofDiagonalLigamentsBetweenOpeningsin CylindricalShells .................................................................. 301 4.11.1 TypesofJacketedVessels ............................................................ 314 4.11.2 TypesofPartialJackets .............................................................. 315 4.11.3 HalfPipeJackets .................................................................... 316 4.12.1 Type1NoncircularVessels ........................................................... 349 4.12.2 Type2NoncircularVessels ........................................................... 350 4.12.3 Type3NoncircularVessels ........................................................... 351 4.12.4 Type4NoncircularVessels ........................................................... 352 4.12.5 Type5NoncircularVessels ........................................................... 353 4.12.6 Type6NoncircularVessels ........................................................... 354 4.12.7 Type6NoncircularVessels ........................................................... 355 4.12.8 Type7NoncircularVessels ........................................................... 356 4.12.9 Type8NoncircularVessels ........................................................... 357 4.12.10 Type9NoncircularVessels ........................................................... 358 4.12.11 Type10NoncircularVessels .......................................................... 359 4.12.12 Type11NoncircularVessels .......................................................... 360 4.12.13 Type12NoncircularVessels .......................................................... 361 vii 4.12.14 Multi-DiameterHoles ................................................................ 361 4.12.15 RectangularVesselsWithMultipleCompartments ........................................ 362 4.13.1 SomeAcceptableLayeredShellTypes .................................................. 369 4.13.2 SomeAcceptableLayeredHeadTypes .................................................. 370 4.13.3 TransitionsofLayeredShellSections ................................................... 371 4.13.4 SomeAcceptableWeldedJointsofLayered-To-LayeredandLayered-To-SolidSections ......... 372 4.13.5 SomeAcceptableSolidHeadAttachmentstoLayeredShellSections ......................... 373 4.13.6 SomeAcceptableFlatHeadsandTubesheetsWithHubsJoiningLayeredShellSections ........ 375 4.13.7 SomeAcceptableFlangesforLayeredShells ............................................. 376 4.13.8 SomeAcceptableLayeredHeadAttachmentstoLayeredShells ............................. 377 4.13.9 SomeAcceptableNozzleAttachmentstoLayeredShellSections ............................ 378 4.13.10 SomeAcceptableSupportsforLayeredVessels .......................................... 380 4.13.11 GapBetweenVesselLayers ........................................................... 381 4.14.1 LTABlendRadiusRequirements ...................................................... 381 4.15.1 HorizontalVesselonSaddleSupports .................................................. 391 4.15.2 CylindricalShellWithoutStiffeningRings ............................................... 392 4.15.3 CylindricalShellWithStiffeningRingsinthePlaneoftheSaddle ........................... 393 4.15.4 CylindricalShellWithStiffeningRingsonBothSidesoftheSaddle ......................... 394 4.15.5 LocationsofMaximumLongitudinalNormalStressandShearStressintheCylinder .......... 395 4.15.6 LocationsofMaximumCircumferentialNormalStressesintheCylinder ..................... 396 4.15.7 SkirtAttachmentLocationonVerticalVessels ........................................... 397 4.15.8 ATypicalHot-BoxArrangementforSkirtSupportedVerticalVessels ........................ 398 4.16.1 IntegralTypeFlanges ................................................................ 415 4.16.2 IntegralTypeFlangeswithaHub ...................................................... 416 4.16.3 IntegralTypeFlangesWithNutStops-DiameterLessThanorEqualto450mm(18in.) ...... 417 4.16.4 IntegralTypeFlangesWithNutStops-DiameterGreaterThan450mm(18in.) .............. 418 4.16.5 LooseTypeFlanges .................................................................. 419 4.16.6 LooseTypeLapJointTypeFlanges .................................................... 420 4.16.7 ReverseFlanges ..................................................................... 421 4.16.8 LocationofGasketReactionLoadDiameter ............................................. 422 4.17.1 TypicalHubandClampConfiguration .................................................. 430 4.17.2 TypicalClampLugsConfigurations ..................................................... 431 4.18.1 TerminologyofHeatExchangerComponents ............................................ 472 4.18.2 TubesheetGeometry ................................................................. 473 4.18.3 TypicalUntubedLaneConfigurations .................................................. 474 4.18.4 U-TubeTubesheetConfigurations ...................................................... 475 4.18.5 FixedTubesheetConfigurations ....................................................... 476 4.18.6 Z ,Z ,Z ,andZ VersusX .......................................................... 477 d v w m a 4.18.7 F VersusX ........................................................ 478 m a 4.18.8 F VersusX ...................................................... 479 m a 4.18.9 ShellWithIncreasedThicknessAdjacenttotheTubesheets ................................ 480 4.18.10 FloatingTubesheetHeatExchangers ................................................... 481 4.18.11 StationaryTubesheetConfigurations ................................................... 482 4.18.12 FloatingTubesheetConfigurations ..................................................... 483 4.18.13 SomeAcceptableTypesofTube-To-TubesheetStrengthWelds ............................. 484 4.18.14 TubeLayoutPerimeter ............................................................... 485 4.18.15 IntegralChannels ................................................................... 486 4.18.16 SomeRepresentativeConfigurationsDescribingtheMinimumRequiredThicknessoftheTubesheet FlangedExtension,h ............................................................... 486 r 4.19.1-1 TypicalBellowsExpansionJoints ...................................................... 505 4.19.1-2 StartingPointsfortheMeasurementoftheLengthofShellonEachSideofBellows ........... 506 4.19.2 PossibleConvolutionProfileinNeutralPosition ......................................... 507 4.19.3 DimensionstoDetermineI .......................................................... 507 xx 4.19.4 BellowsSubjecttoanAxialDisplacementx .............................................. 508 4.19.5 BellowsSubjecttoaLateralDisplacementy .............................................. 508 viii

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