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ASME B31 Stress Intensity Factor

Calculate ASME B31 stress factors

  • flexibility factor k
  • in plane stress intensification factor ii
  • out of plane stress intensification factor io
  • flexibility characteristic h
  • stress range factor f
  • allowable cyclic stress

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Links : ±
CALCULATOR : ASME B31 Stress Intensity Factors Elbow Or Bend [FREE]   ±

Calculate ASME B31 stress intensity factors for elbows and bends. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe elbows and bends.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Pipe Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • petype : External Pressure Type
    • Peu : User Defined External Pressure
  • codetype : ASME B31 Code
  • bendtype : Bend Radius Type
    • R/Du : User Defined Bend Radius Over Diameter Ratio
    • Ru : User Defined Bend Radius
  • endtype : Flanged Or Welded Connection
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Pipe Nominal Wall Thickness
  • E : Elastic Modulus
  • P : Internal Pressure

Tool Output

  • ΔP : Pressure Difference
  • D : Pipe Outside Diameter
  • D/tn : Pipe Diameter Over Wall Thickness Ratio
  • Pe : External Pressure
  • R : Pipe Bend Radius
  • R/D : Bend Radius Over Pipe Diameter Ratio
  • c : Flange Correction Factor
  • d : Pipe Inside Diameter
  • dm : Pipe Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • pi : Pressure i Correction Factor
  • pk : Pressure k Correction Factor
  • r : Pipe Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Miter Bend Single [FREE]   ±

Calculate ASME B31 stress intensity factors for single miter bends. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe elbows and bends.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Pipe Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • petype : External Pressure Type
    • Peu : User Defined External Pressure
  • codetype : ASME B31 Code
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • θ : Miter Half Angle
  • t : Pipe Nominal Wall Thickness
  • E : Elastic Modulus
  • P : Internal Pressure

Tool Output

  • ΔP : Pressure Difference
  • D : Pipe Outside Diameter
  • D/tn : Pipe Diameter Over Wall Thickness Ratio
  • Pe : External Pressure
  • R : Miter Radius
  • d : Pipe Inside Diameter
  • dm : Pipe Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • pi : Pressure i Correction Factor
  • pk : Pressure k Correction Factor
  • r : Pipe Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Miter Bend Compound [FREE]   ±

Calculate ASME B31 stress intensity factors for compound miter bends. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe elbows and bends.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Pipe Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • petype : External Pressure Type
    • Peu : User Defined External Pressure
  • codetype : ASME B31 Code
  • endtype : Flanged Or Welded Connection
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • θ : Miter Bend Half Angle
  • s : Miter Center Line Length
  • t : Pipe Nominal Wall Thickness
  • E : Elastic Modulus
  • P : Internal Pressure

Tool Output

  • ΔP : Pressure Difference
  • D : Pipe Outside Diameter
  • D/tn : Pipe Diameter Over Wall Thickness Ratio
  • Pe : External Pressure
  • R : Miter Radius
  • c : Flange Correction Factor
  • d : Pipe Inside Diameter
  • dm : Pipe Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor
  • io : Out Of Plane Stress Intensity Factor
  • k : Flexibility Factor
  • pi : Pressure i Correction Factor
  • pk : Pressure k Correction Factor
  • r : Pipe Mid Wall Radius
  • st : Miter Transition Length (Wide Or Close Spacing)

CALCULATOR : ASME B31 Stress Intensity Factors Welding Tee [FREE]   ±

Calculate ASME B31 stress intensity factors for welding tees. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • loadtype : Number Of Load Cycles (ASME B31.8 Only)
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter
  • rc : Crotch Radius
  • tc : Crotch Wall Thickness

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Extruded Welding Tee [FREE]   ±

Calculate ASME B31 stress intensity factors for extruded welding tees. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • loadtype : Number Of Load Cycles (ASME B31.8 Only)
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter
  • rc : Crotch Radius
  • tc : Crotch Wall Thickness

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Reinforced Fabricated Tee [FREE]   ±

Calculate ASME B31 stress intensity factors for reinforced fabricated tees. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • loadtype : Number Of Load Cycles (ASME B31.8 Only)
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter
  • tr : Reinforcement Thickness

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (ASME B31.8 ≥ 1.2 : Others ≥ 1)
  • io : Out Of Plane Stress Intensity Factor (ASME B31.8 ≥ 1.2 : Others ≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Unreinforced Fabricated Tee [FREE]   ±

Calculate ASME B31 stress intensity factors for unreinforced fabricated tees. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • loadtype : Number Of Load Cycles (ASME B31.8 Only)
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Welded In Contour Insert [FREE]   ±

Calculate ASME B31 stress intensity factors for welded in contour inserts. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • loadtype : Number Of Load Cycles (ASME B31.8 Only)
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter
  • rc : Crotch Radius
  • tc : Crotch Wall Thickness

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Welded on Branch Integrally Reinforced [FREE]   ±

Calculate ASME B31 stress intensity factors for integrally reinforced welded on branch. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • codetype : ASME B31 Code
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • h : Flexibility Characteristic
  • i* : Stress Factor Multiplier
  • ii : In Plane Stress Intensity Factor (≥ 1)
  • io : Out Of Plane Stress Intensity Factor (≥ 1)
  • k : Flexibility Factor
  • r : Header Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Branch Connection (Fig D-1) [FREE]   ±

Calculate ASME B31 stress intensity factors for branch connections. Calculate flexibility characteristic h, flexibility factor k, and stress intensification factor i for pipe tees, branches and inserts.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • diamtype : Header Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • tnh : Header Nominal Wall Thickness
  • Db : Branch Outside Diameter
  • tnb : Branch Wall Thickness
  • rp : Branch Reinforcement Radius

Tool Output

  • D : Header Outside Diameter
  • D/tn : Header Diameter Over Wall Thickness Ratio
  • Rm : Header Mid Wall Radius
  • d : Header Inside Diameter
  • d/D : Branch To Header Diameter Ratio
  • dm : Header Mid Wall Diameter
  • i : In Plane Stress Intensity Factor (≥ 1)
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor
  • r'm : Branch Mid Wall Radius

CALCULATOR : ASME B31 Stress Intensity Factors Butt Weld [FREE]   ±

Calculate ASME B31 stress intensity factors for butt welds. Calculate flexibility factor k, and stress intensification factor i for pipe welds and joints.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • codetype : ASME B31 Code
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Pipe Nominal Wall Thickness
  • δmax : Maximum Weld Offset
  • δavg : Average Weld Offset

Tool Output

  • δ/t : Average Weld Offset Over Pipe Wall Thickness Ratio
  • i : Stress Intensity Factor
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor

CALCULATOR : ASME B31 Stress Intensity Factors Tapered Transition [FREE]   ±

Calculate ASME B31 stress intensity factors for tapered transitions. Calculate flexibility factor k, and stress intensification factor i for pipe welds and joints.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • codetype : ASME B31 Code
  • diamtype : Pipe Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Pipe Nominal Wall Thickness
  • δ : Weld Offset

Tool Output

  • δ/t : Average Weld Offset Over Pipe Wall Thickness Ratio
  • D : Pipe Outside Diameter
  • D/tn : Pipe Diameter Over Wall Thickness Ratio
  • d : Pipe Inside Diameter
  • i : Stress Intensity Factor
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor

CALCULATOR : ASME B31 Stress Intensity Factors Concentric Reducer [FREE]   ±

Calculate ASME B31 stress intensity factors for concentric reducers. Calculate flexibility factor k, and stress intensification factor i for pipe welds and joints.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • codetype : ASME B31 Code
  • diamtype : Reducer Small End Diameter Type
    • Du : User Defined Outside Diameter
    • du : User Defined Inside Diameter
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Reducer Small End Nominal Wall Thickness
  • α : Reducer Cone Half Angle

Tool Output

  • D : Reducer Small End Outside Diameter
  • D/tn : Reducer Diameter Over Wall Thickness Ratio
  • d : Reducer Small End Inside Diameter
  • i : Stress Intensity Factor
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor

CALCULATOR : ASME B31 Stress Intensity Factors Socket Weld [FREE]   ±

Calculate ASME B31 stress intensity factors for socket welds. Calculate flexibility factor k, and stress intensification factor i for pipe welds and joints.

The pipe mean diameter is calculated at the mid nominal wall thickness.

Tool Input

  • codetype : ASME B31 Code
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier
  • t : Pipe Nominal Wall Thickness
  • C : Fillet Weld Length

Tool Output

  • i : Stress Intensity Factor
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor
  • tn/C : Pipe Wall Thickness Over Fillet Weld Length Ratio

CALCULATOR : ASME B31 Stress Intensity Factors Miscellaneous [FREE]   ±

Calculate flexibility factor k, and stress intensification factor i for double welded slip on flanges, fillet welds, lap joint flanges, threaded pipe and flanges, and corrugated pipe.

Tool Input

  • pipetype : Pipe Or Joint Type
  • isfactype : Stress Factor Multiplier Type
    • i*u : User Defined Stress Factor Multiplier

Tool Output

  • i : Stress Intensity Factor
  • i* : Stress Factor Multiplier
  • k : Flexibility Factor

CALCULATOR : ASME B31 Maximum Displacement Flexibility Check [FREE]   ±

Calculate pipe spool flexibility maximum displacement check. A formal flexibility assessment is generally not required for pipe sections with displacement less than the calculated maximum displacement. Reaction forces and moments may require separate analysis.

The developed pipe length is the length measured along the pipe center line. The difference between the developed length, and the straight line length is an approximate measure of the offsets in the line.

Tool Input

  • D : Nominal Outside Diameter
  • L : Developed Pipe Length Between Anchors
  • U : Straight Line Length Between Anchors
  • Sa : Allowable Stress
  • E : Young's Modulus

Tool Output

  • ymax : Maximum Total Displacement Strain

CALCULATOR : ASME B31 Stress Range Factor [FREE]   ±

Calculate the pipe stress range factor f from the number of stress cycles. For ASME B31.1 the maximum value of the stress range factor is 1.

Tool Input

  • codetype : ASME B31 Code
  • ffactype : Stress Range Factor Type
    • fmu : User Defined Maximum Stress Range Factor
    • fu : User Defined Stress Range Factor
  • N : Number Of Cycles

Tool Output

  • f : Stress Range Factor
  • fm : Maximum Stress Range Factor

CALCULATOR : ASME B31 Allowable Cyclic Stress From Number Of Cycles [FREE]   ±

Calculate the allowable cyclic stress from the number of stress cycles.

For ASME B31.1 the maximum value of the stress range factor is 1. The longitudinal stress is optional (the longitudinal stress is used to calculate the allowable stress if the longitudinal stress is less the allowable stress at maximum temperature).

Tool Input

  • codetype : ASME B31 Code
  • ffactype : Stress Range Factor Type
    • fmu : User Defined Maximum Stress Range Factor
    • fu : User Defined Stress Range Factor
  • sactype : Allowable Cyclic Stress Type
  • S : Design Stress
  • N : Number Of Cycles

Tool Output

  • Sa : Allowable Cyclic Stress
  • f : Stress Range Factor
  • fm : Maximum Stress Range Factor

CALCULATOR : ASME B31 Allowable Cyclic Stress From Equivalent Number Of Load Cycles [FREE]   ±

Calculate the allowable cyclic stress from cyclic stress data. Enter the cyclic stress data as comma or tab separated pairs (number of cycles, cyclic stress), with each data pair on a new line (or copy and paste cells from a spreadsheet).

For ASME B31.1 the maximum value of the stress range factor is 1. The longitudinal stress is optional (the longitudinal stress is used to calculate the allowable stress if the longitudinal stress is less the allowable stress at maximum temperature).

Tool Input

  • codetype : ASME B31 Code
  • ffactype : Stress Range Factor Type
    • fmu : User Defined Maximum Stress Range Factor
    • fu : User Defined Stress Range Factor
  • sactype : Allowable Cyclic Stress Type
  • S : Design Stress
  • Ndata : Load Cycles Data Values
  • Sdata : Load Stress Data Values

Tool Output

  • Ne : Number Of Cycles
  • Sa : Allowable Cyclic Stress
  • Se : Maximum Cyclic Stress
  • Se/Sa : Cyclic Stress Over Allowable Stress Ratio
  • f : Stress Range Factor
  • fm : Maximum Stress Range Factor