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CHAPTER 4
CODE STRESS
REQUIREMENTS
PIPE STRESS ENGINEERING
LIANG-CHUAN (L.C) PENG
TSEN-LOONG (ALVIN) PENG
Fitri Yuniastria
CONTENT
1. INTRODUCTION
2. LOADINGS TO BE CONSIDERED
3. BASIC ALLOWABLE STRESSES
4. PRESSURE DESIGN
5. STRESSES OF PIPING COMPONENTS
6. Code Application in Caesar Software
1. INTRODUCTION
• Code is a set of procedures and specifications covering the
minimum requirements for material, design, fabrication, erection,
inspection, and testing.
• The main objective of piping codes is to ensure the structural
integrity of the piping systems.
• The piping is ensured of proper safety factor on structural integrity
when all code requirements are followed and satisfied.
1. INTRODUCTION
• Two main systems covering the design of piping systems:
a) ASME (American Society of Mechanical Engineers)
 ASME Code for Pressure Piping:
B31.1 Power Piping
B31.3 Process Piping
B31.4 Pipeline Transportation System for Liquid Hydrocarbons
and Other Liquids
B31.8 Gas Transmission and Distribution Piping Systems
B31.9 Building Services Piping
B31.11 Slurry Transportation Piping Systems
1. INTRODUCTION
 ASME Boiler and Pressure Vessel Codes, Sec-III Rules for
Construction of Nuclear Facility Components (B&PV Sec-III):
Subsection NB, Cl. I Components, NB-3600 Piping Design
Subsection NC, Cl. 2 Components, NC-3600 Piping Design
Subsection ND, Cl. 3 Components, ND-3600 Piping Design
b) CEN (Comite Europeen de Normalisation):
 CEN Metallic Industrial Piping
EN 13480-3, Metallic Industrial Piping–Part 3: Design and
Calculation
2. LOADINGS TO BE CONSIDERED
a) Pressure
 Internal pressure
 External pressure
 Test Pressure  not a design parameter. It is a quality control
measure used especially for poor-quality welds
If the longitudinal stress resulting from the test pressure exceed the
limit  temporary supports are required
𝑃𝑇 = test pressure
𝑃 = design pressure
𝑆𝑇 = allowable stress at test temperature
𝑆 = allowable stress at design temperature
𝑃𝑇 =
1.5𝑃𝑆𝑇
𝑆
2. LOADINGS TO BE CONSIDERED
b) Temperature
 Uniform temperature distribution across the whole cross-section 
creates uniform expansion  used in common flexibility analysis
 Variant temperature distribution across the whole cross-section 
creates thermal bowing
2. LOADINGS TO BE CONSIDERED
c) Weight Effects
 Dead loads  weight of piping components, insulation, and other
permanent loads
 Live loads  include the weight of fluid, snow, and ice
d) Wind Load
 Can be specified either with basic wind speed or the actual wind force
 Basic wind speed  use ASCE-7 or UBC
 Normally only two mutually perpendicular horizontal directions are
considered
 Wind effect on piping inside an enclosed building or shielded by
proper object can be ignored
Wind Load.pdf
2. LOADINGS TO BE CONSIDERED
e) Earthquake
 Analyzed via the dynamic approach or static approach
 The magnitude of acceleration (called g factor), can be determined
according to ASCE-7 or UBC
 Normally applies to all three directions with smaller magnitude in
vertical direction
 The earthquake load and wind load are generally not required
considered as acting concurrently
f) Passive Loads
 Including support friction force, spring hanger resistance, soil
resistance, etc.
 Generated because of the movements of piping
 Prevent the piping from moving, do not have move the pipe
2. LOADINGS TO BE CONSIDERED
g) Dynamic Fluid Loads
 Vortex shedding  when the fluid flows past an object or a cavity 
generates force perpendicular to the flow direction  has a
characteristic frequency  vibration on piping
 Slug flow  most often exists at saturated liquid lines  creates
density discontinuity  imposes an impact force when flow passes a
turning bend  vibration on piping
2. LOADINGS TO BE CONSIDERED
 Acoustic pulsation  usually comes from reciprocating machine 
the inlet/outlet flow rate changes periodically proportional to the
rotational speed of machine  creates a periodic pressure pulsation
 vibration on piping
 Pressure wave  created when the flow abruptly altered  come
with noisy banging sound that mimic hammering (called steam/water
hammer)  vibration on piping
3. BASIC ALLOWABLE STRESSES
• Code Allowable Stress Tables
 ASME B31.1
3. BASIC ALLOWABLE STRESSES
 ASME B31.3
3. BASIC ALLOWABLE STRESSES
• Content of Basic Allowable Stress Tables
 Spec. no  ASTM specification number, prefixed “A” for ferrous
materials, prefix “B” for non-ferrous materials
 Grade  associated with material compositions and strength
 Type or class  associated with manufacturing method and scope of
inspection required, e.g.: S means seamless, E means electric resistance
welded, F means furnace butt-welded
 Material composition
 P-Number  welding qualification
3. BASIC ALLOWABLE STRESSES
 Minimum Tensile Strength
 Minimum Yield Strength
 Joint efficiency or quality factor (E)  weld joint efficiency and casting
quality factor
 Minimum temperature  design minimum temperature for which the
material is normally suitable without impact testing
 Maximum allowable stress in tension  the stress between the
benchmark temperature points can be linearly interpolated, the materials
should not be used for temperatures outside the two extreme
temperatures
4. PRESSURE DESIGN
• Pipe stress analysis shall ensure that each piping component is strong
enough to contain the service pressure
• Pressure design can be accomplished by several different ways:
 Use of standard components having established ratings  design
by selection  no calculation is involved
e.g.: flanges (ASME B16.5 and ASME B16.47), valves (ASME B16.34)
 Use of standard components not having specific ratings  select
the components that have the materials and nominal wall thickness same
as the connecting pipe
e.g.: butt-welding fittings (ASME B16.9, ASME B16.11, etc.)
 By design calculations  based on formula provided by codes
e.g.: calculations for straight pipe, smooth bend, miter bend, branch
connection, etc.
ASME B16.5 Rating Flanges.pdf
4. PRESSURE DESIGN
a) Straight Pipe
 Pressure resisting capability is determined by its thickness
 Serves as the reference thickness for other components
 Steps to select the pipe thickness:
1) Calculate the minimum required net thickness
𝑡 = minimum required net thickness
𝑃 = design pressure
𝐷 = outside diameter of pipe
𝑆 = allowable stress at design temperature
𝐸 = longitudinal joint efficiency or quality factor
𝑊 = weld strength reduction factor
𝑐 = allowance for corrosion, erosion, and others
𝑦 = coefficient value
4. PRESSURE DESIGN
2) Add net thickness with allowances
3) Select commercially available nominal thickness (𝑡𝑛)
𝑡𝑚 = minimum required thickness, including mechanical, corrosion,
and erosion allowance
𝑡 = minimum required net thickness
𝑐 = allowance for corrosion, erosion, and others
𝑢 = manufacturing under-tolerance, generally 12.5%
𝑣 = manufacturing under-tolerance specified by absolute thickness,
applicable to some welded pipes rolled from plates
4. PRESSURE DESIGN
 Example of Calculation
• Material: ASTM A-106 Gr. B, seamless
• Design pressure: 3.5 kg/cm2
• Design temperature: 427 o C
• NPS: 10 in (OD = 273 mm)
• Corrosion allowance: 1.7 mm
• Manufacturing under-tolerance: 12.5%
• Wall thickness required calculated based on ASME B31.3:
t = 0.6 mm
• Add wall thickness with corrosion allowance and manufacturing under-tolerance:
tm= 2.6 mm
• Commercial available nominal thickness (𝑡𝑛)  schedule 20 (6.35 mm)
Pipe Wall Thickness.pdf
Table A-1 ASME B31.3.pdf
Table A-1B ASME B31.3.pdf
Weld Joint Factor.pdf
Y coefficient.pdf
4. PRESSURE DESIGN
b) Curved Segment of Pipe
 Pipe Bends
 Forged Elbows  the thickness is suitable for the design pressure
given by the pressure-temperature rating of such standards
𝐼 = bend stress intensification factors
𝑅1 = bend radius
𝐷 = outside diameter
4. PRESSURE DESIGN
c) Miter Bends
𝑃 = maximum allowable pressure
𝑆 = allowable stress at design temperature
𝐸 = longitudinal joint efficiency or quality factor
𝑊 = weld strength reduction factor
𝑡𝑛 = miter pipe wall thickness (measured or
minimum per purchase specification)
𝑐 = allowance for corrosion, erosion, and others
𝑟 = mean radius of pipe
𝑡 = minimum net thickness required
θ = angle of miter cut
5. STRESSES OF PIPING COMPONENTS
a) Sustained Stresses
 ASME B31.1
ASME B31.3
Only specifies the allowable for the longitudinal stress without giving
formula for the calculation:
𝑆𝐿 = sum of the longitudinal stresses due to
pressure, weight, and other sustained loads
𝑃 = internal design pressure
𝐷𝑜 = outside diameter of pipe
𝑡𝑛 = nominal pipe wall thickness
𝑖 = stress intensification factor
𝑀𝐴 = resultant moment loading on cross section
due to weight and other sustained load
𝑍 = section modulus
𝑆ℎ = basic material allowable stress at maximum
temperature (from the allowable stress tables)
𝑆𝐿 ≤ 𝑆ℎ
5. STRESSES OF PIPING COMPONENTS
b) Occasional Stresses
 ASME B31.1
ASME B31.3
𝑆𝐿 + 𝑆𝑜𝑐𝑐 ≤ 𝑘 𝑆ℎ
𝑀𝐵 = resultant moment loading on cross section
due to occasional load
𝑘 = 1.15 for occasional loads acting for no more
than 8 hours at any one time and no more than
800 hours/year
𝑘 = 1.2 for occasional loads acting for no more
than 1 hour at any one time and no more than
80 hours/year
𝑆𝐿 + 𝑆𝑜𝑐𝑐 ≤ 1.33 𝑆ℎ
5. STRESSES OF PIPING COMPONENTS
c) Thermal Expansion and Displacement Stress Range
 ASME B31.1
𝑆𝐸 ≤ 𝑆𝐴
𝑆𝐸 = computed displacement stress range
𝑆𝐴 = allowable displacement stress range
𝑆𝐶 = basic allowable stress at ambient temperature
𝑆ℎ = basic allowable stress at maximum metal
temperature
𝑆𝐿 = sum of the longitudinal stresses due to
pressure, weight, and other sustained loads
𝑀𝐶 = range of resultant moments due to thermal
expansion
𝑓 = stress range reduction factor
𝑖 = stress intensification factor
𝑍 = section modulus
𝑆𝐸 =
𝑖𝑀𝑐
𝑍
≤ 𝑆𝐴 = 𝑓(1.25𝑆𝐶+0.25𝑆ℎ)
when 𝑆ℎ greater than 𝑆𝐿:
𝑆𝐸 =
𝑖𝑀𝑐
𝑍
≤ 𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}
5. STRESSES OF PIPING COMPONENTS
5. STRESSES OF PIPING COMPONENTS
 ASME B31.3
𝑆𝐸 ≤ 𝑆𝐴
𝑆𝐸 = computed displacement stress range
𝑆𝐴 = allowable displacement stress range
𝑆𝐶 = basic allowable stress at ambient temperature
𝑆ℎ = basic allowable stress at maximum metal
temperature
𝑆𝐿 = sum of the longitudinal stresses due to
pressure, weight, and other sustained loads
𝑆𝑏 = resultant bending stress
𝑆𝑡 = torsional stress
𝑀𝑖 = in-plane bending moment (appendix D)
𝑀𝑜 = out-plane bending moment (appendix D)
𝑀𝑡 = torsional moment
𝑓 = stress range reduction factor
𝑖 = stress intensification factor
𝑍 = section modulus
𝑆𝐸= 𝑆𝑏
2
+ 4𝑆𝑡
2
𝑆𝑏=
(𝑖𝑖𝑀𝑖)2+(𝑖𝑜𝑀𝑜)2
𝑍
𝑆𝑡=
𝑀𝑡
2𝑍
𝑆𝐴 = 𝑓(1.25𝑆𝐶+0.25𝑆ℎ)
when 𝑆ℎ greater than 𝑆𝐿:
𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}
5. STRESSES OF PIPING COMPONENTS
6. CODE APPLICATION IN CAESAR SOFTWARE
Application ASME B31.3 in Caesar:
 Input
Sy SC
SH
6. CODE APPLICATION IN CAESAR SOFTWARE
 Allowable
6. CODE APPLICATION IN CAESAR SOFTWARE
Hydrotest:
𝑆𝑇 ≤ 𝑆𝑌
Sustained:
𝑆𝐿 ≤ 𝑆ℎ
ST
Sy
SL
Sh
6. CODE APPLICATION IN CAESAR SOFTWARE
SL + Socc
1.33Sh
Occasional:
𝑆𝐿+ 𝑆𝑜𝑐𝑐 ≤ 1.33 𝑆ℎ
SE
SA
Expansion:
𝑆ℎ greater than 𝑆𝐿
𝑆𝐸 ≤ 𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}

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CHAPTER 4_CODE STRESS REQUIREMENTS.pptx

  • 1. CHAPTER 4 CODE STRESS REQUIREMENTS PIPE STRESS ENGINEERING LIANG-CHUAN (L.C) PENG TSEN-LOONG (ALVIN) PENG Fitri Yuniastria
  • 2. CONTENT 1. INTRODUCTION 2. LOADINGS TO BE CONSIDERED 3. BASIC ALLOWABLE STRESSES 4. PRESSURE DESIGN 5. STRESSES OF PIPING COMPONENTS 6. Code Application in Caesar Software
  • 3. 1. INTRODUCTION • Code is a set of procedures and specifications covering the minimum requirements for material, design, fabrication, erection, inspection, and testing. • The main objective of piping codes is to ensure the structural integrity of the piping systems. • The piping is ensured of proper safety factor on structural integrity when all code requirements are followed and satisfied.
  • 4. 1. INTRODUCTION • Two main systems covering the design of piping systems: a) ASME (American Society of Mechanical Engineers)  ASME Code for Pressure Piping: B31.1 Power Piping B31.3 Process Piping B31.4 Pipeline Transportation System for Liquid Hydrocarbons and Other Liquids B31.8 Gas Transmission and Distribution Piping Systems B31.9 Building Services Piping B31.11 Slurry Transportation Piping Systems
  • 5. 1. INTRODUCTION  ASME Boiler and Pressure Vessel Codes, Sec-III Rules for Construction of Nuclear Facility Components (B&PV Sec-III): Subsection NB, Cl. I Components, NB-3600 Piping Design Subsection NC, Cl. 2 Components, NC-3600 Piping Design Subsection ND, Cl. 3 Components, ND-3600 Piping Design b) CEN (Comite Europeen de Normalisation):  CEN Metallic Industrial Piping EN 13480-3, Metallic Industrial Piping–Part 3: Design and Calculation
  • 6. 2. LOADINGS TO BE CONSIDERED a) Pressure  Internal pressure  External pressure  Test Pressure  not a design parameter. It is a quality control measure used especially for poor-quality welds If the longitudinal stress resulting from the test pressure exceed the limit  temporary supports are required 𝑃𝑇 = test pressure 𝑃 = design pressure 𝑆𝑇 = allowable stress at test temperature 𝑆 = allowable stress at design temperature 𝑃𝑇 = 1.5𝑃𝑆𝑇 𝑆
  • 7. 2. LOADINGS TO BE CONSIDERED b) Temperature  Uniform temperature distribution across the whole cross-section  creates uniform expansion  used in common flexibility analysis  Variant temperature distribution across the whole cross-section  creates thermal bowing
  • 8. 2. LOADINGS TO BE CONSIDERED c) Weight Effects  Dead loads  weight of piping components, insulation, and other permanent loads  Live loads  include the weight of fluid, snow, and ice d) Wind Load  Can be specified either with basic wind speed or the actual wind force  Basic wind speed  use ASCE-7 or UBC  Normally only two mutually perpendicular horizontal directions are considered  Wind effect on piping inside an enclosed building or shielded by proper object can be ignored Wind Load.pdf
  • 9. 2. LOADINGS TO BE CONSIDERED e) Earthquake  Analyzed via the dynamic approach or static approach  The magnitude of acceleration (called g factor), can be determined according to ASCE-7 or UBC  Normally applies to all three directions with smaller magnitude in vertical direction  The earthquake load and wind load are generally not required considered as acting concurrently f) Passive Loads  Including support friction force, spring hanger resistance, soil resistance, etc.  Generated because of the movements of piping  Prevent the piping from moving, do not have move the pipe
  • 10. 2. LOADINGS TO BE CONSIDERED g) Dynamic Fluid Loads  Vortex shedding  when the fluid flows past an object or a cavity  generates force perpendicular to the flow direction  has a characteristic frequency  vibration on piping  Slug flow  most often exists at saturated liquid lines  creates density discontinuity  imposes an impact force when flow passes a turning bend  vibration on piping
  • 11. 2. LOADINGS TO BE CONSIDERED  Acoustic pulsation  usually comes from reciprocating machine  the inlet/outlet flow rate changes periodically proportional to the rotational speed of machine  creates a periodic pressure pulsation  vibration on piping  Pressure wave  created when the flow abruptly altered  come with noisy banging sound that mimic hammering (called steam/water hammer)  vibration on piping
  • 12. 3. BASIC ALLOWABLE STRESSES • Code Allowable Stress Tables  ASME B31.1
  • 13. 3. BASIC ALLOWABLE STRESSES  ASME B31.3
  • 14. 3. BASIC ALLOWABLE STRESSES • Content of Basic Allowable Stress Tables  Spec. no  ASTM specification number, prefixed “A” for ferrous materials, prefix “B” for non-ferrous materials  Grade  associated with material compositions and strength  Type or class  associated with manufacturing method and scope of inspection required, e.g.: S means seamless, E means electric resistance welded, F means furnace butt-welded  Material composition  P-Number  welding qualification
  • 15. 3. BASIC ALLOWABLE STRESSES  Minimum Tensile Strength  Minimum Yield Strength  Joint efficiency or quality factor (E)  weld joint efficiency and casting quality factor  Minimum temperature  design minimum temperature for which the material is normally suitable without impact testing  Maximum allowable stress in tension  the stress between the benchmark temperature points can be linearly interpolated, the materials should not be used for temperatures outside the two extreme temperatures
  • 16. 4. PRESSURE DESIGN • Pipe stress analysis shall ensure that each piping component is strong enough to contain the service pressure • Pressure design can be accomplished by several different ways:  Use of standard components having established ratings  design by selection  no calculation is involved e.g.: flanges (ASME B16.5 and ASME B16.47), valves (ASME B16.34)  Use of standard components not having specific ratings  select the components that have the materials and nominal wall thickness same as the connecting pipe e.g.: butt-welding fittings (ASME B16.9, ASME B16.11, etc.)  By design calculations  based on formula provided by codes e.g.: calculations for straight pipe, smooth bend, miter bend, branch connection, etc. ASME B16.5 Rating Flanges.pdf
  • 17. 4. PRESSURE DESIGN a) Straight Pipe  Pressure resisting capability is determined by its thickness  Serves as the reference thickness for other components  Steps to select the pipe thickness: 1) Calculate the minimum required net thickness 𝑡 = minimum required net thickness 𝑃 = design pressure 𝐷 = outside diameter of pipe 𝑆 = allowable stress at design temperature 𝐸 = longitudinal joint efficiency or quality factor 𝑊 = weld strength reduction factor 𝑐 = allowance for corrosion, erosion, and others 𝑦 = coefficient value
  • 18. 4. PRESSURE DESIGN 2) Add net thickness with allowances 3) Select commercially available nominal thickness (𝑡𝑛) 𝑡𝑚 = minimum required thickness, including mechanical, corrosion, and erosion allowance 𝑡 = minimum required net thickness 𝑐 = allowance for corrosion, erosion, and others 𝑢 = manufacturing under-tolerance, generally 12.5% 𝑣 = manufacturing under-tolerance specified by absolute thickness, applicable to some welded pipes rolled from plates
  • 19. 4. PRESSURE DESIGN  Example of Calculation • Material: ASTM A-106 Gr. B, seamless • Design pressure: 3.5 kg/cm2 • Design temperature: 427 o C • NPS: 10 in (OD = 273 mm) • Corrosion allowance: 1.7 mm • Manufacturing under-tolerance: 12.5% • Wall thickness required calculated based on ASME B31.3: t = 0.6 mm • Add wall thickness with corrosion allowance and manufacturing under-tolerance: tm= 2.6 mm • Commercial available nominal thickness (𝑡𝑛)  schedule 20 (6.35 mm) Pipe Wall Thickness.pdf Table A-1 ASME B31.3.pdf Table A-1B ASME B31.3.pdf Weld Joint Factor.pdf Y coefficient.pdf
  • 20. 4. PRESSURE DESIGN b) Curved Segment of Pipe  Pipe Bends  Forged Elbows  the thickness is suitable for the design pressure given by the pressure-temperature rating of such standards 𝐼 = bend stress intensification factors 𝑅1 = bend radius 𝐷 = outside diameter
  • 21. 4. PRESSURE DESIGN c) Miter Bends 𝑃 = maximum allowable pressure 𝑆 = allowable stress at design temperature 𝐸 = longitudinal joint efficiency or quality factor 𝑊 = weld strength reduction factor 𝑡𝑛 = miter pipe wall thickness (measured or minimum per purchase specification) 𝑐 = allowance for corrosion, erosion, and others 𝑟 = mean radius of pipe 𝑡 = minimum net thickness required θ = angle of miter cut
  • 22. 5. STRESSES OF PIPING COMPONENTS a) Sustained Stresses  ASME B31.1 ASME B31.3 Only specifies the allowable for the longitudinal stress without giving formula for the calculation: 𝑆𝐿 = sum of the longitudinal stresses due to pressure, weight, and other sustained loads 𝑃 = internal design pressure 𝐷𝑜 = outside diameter of pipe 𝑡𝑛 = nominal pipe wall thickness 𝑖 = stress intensification factor 𝑀𝐴 = resultant moment loading on cross section due to weight and other sustained load 𝑍 = section modulus 𝑆ℎ = basic material allowable stress at maximum temperature (from the allowable stress tables) 𝑆𝐿 ≤ 𝑆ℎ
  • 23. 5. STRESSES OF PIPING COMPONENTS b) Occasional Stresses  ASME B31.1 ASME B31.3 𝑆𝐿 + 𝑆𝑜𝑐𝑐 ≤ 𝑘 𝑆ℎ 𝑀𝐵 = resultant moment loading on cross section due to occasional load 𝑘 = 1.15 for occasional loads acting for no more than 8 hours at any one time and no more than 800 hours/year 𝑘 = 1.2 for occasional loads acting for no more than 1 hour at any one time and no more than 80 hours/year 𝑆𝐿 + 𝑆𝑜𝑐𝑐 ≤ 1.33 𝑆ℎ
  • 24. 5. STRESSES OF PIPING COMPONENTS c) Thermal Expansion and Displacement Stress Range  ASME B31.1 𝑆𝐸 ≤ 𝑆𝐴 𝑆𝐸 = computed displacement stress range 𝑆𝐴 = allowable displacement stress range 𝑆𝐶 = basic allowable stress at ambient temperature 𝑆ℎ = basic allowable stress at maximum metal temperature 𝑆𝐿 = sum of the longitudinal stresses due to pressure, weight, and other sustained loads 𝑀𝐶 = range of resultant moments due to thermal expansion 𝑓 = stress range reduction factor 𝑖 = stress intensification factor 𝑍 = section modulus 𝑆𝐸 = 𝑖𝑀𝑐 𝑍 ≤ 𝑆𝐴 = 𝑓(1.25𝑆𝐶+0.25𝑆ℎ) when 𝑆ℎ greater than 𝑆𝐿: 𝑆𝐸 = 𝑖𝑀𝑐 𝑍 ≤ 𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}
  • 25. 5. STRESSES OF PIPING COMPONENTS
  • 26. 5. STRESSES OF PIPING COMPONENTS  ASME B31.3 𝑆𝐸 ≤ 𝑆𝐴 𝑆𝐸 = computed displacement stress range 𝑆𝐴 = allowable displacement stress range 𝑆𝐶 = basic allowable stress at ambient temperature 𝑆ℎ = basic allowable stress at maximum metal temperature 𝑆𝐿 = sum of the longitudinal stresses due to pressure, weight, and other sustained loads 𝑆𝑏 = resultant bending stress 𝑆𝑡 = torsional stress 𝑀𝑖 = in-plane bending moment (appendix D) 𝑀𝑜 = out-plane bending moment (appendix D) 𝑀𝑡 = torsional moment 𝑓 = stress range reduction factor 𝑖 = stress intensification factor 𝑍 = section modulus 𝑆𝐸= 𝑆𝑏 2 + 4𝑆𝑡 2 𝑆𝑏= (𝑖𝑖𝑀𝑖)2+(𝑖𝑜𝑀𝑜)2 𝑍 𝑆𝑡= 𝑀𝑡 2𝑍 𝑆𝐴 = 𝑓(1.25𝑆𝐶+0.25𝑆ℎ) when 𝑆ℎ greater than 𝑆𝐿: 𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}
  • 27. 5. STRESSES OF PIPING COMPONENTS
  • 28. 6. CODE APPLICATION IN CAESAR SOFTWARE Application ASME B31.3 in Caesar:  Input Sy SC SH
  • 29. 6. CODE APPLICATION IN CAESAR SOFTWARE
  • 30.  Allowable 6. CODE APPLICATION IN CAESAR SOFTWARE Hydrotest: 𝑆𝑇 ≤ 𝑆𝑌 Sustained: 𝑆𝐿 ≤ 𝑆ℎ ST Sy SL Sh
  • 31. 6. CODE APPLICATION IN CAESAR SOFTWARE SL + Socc 1.33Sh Occasional: 𝑆𝐿+ 𝑆𝑜𝑐𝑐 ≤ 1.33 𝑆ℎ SE SA Expansion: 𝑆ℎ greater than 𝑆𝐿 𝑆𝐸 ≤ 𝑆𝐴 = 𝑓{1.25(𝑆𝐶+𝑆ℎ) - 𝑆𝐿}