# Weld Joint Design Equations and Calculations

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Weld Joint - Butt JoiWeld Joint Design Equations and Calculations
• Butt Weld Joint - Normal Load • Butt Weld Joint - Shear Load • Butt Weld Joint - Weld at Angle to Normal • Butt Weld Load - Shear and Normal Load • Butt Weld Joint - Torque Load • Butt Weld Joint - Bending Perpendicular Load • Butt Weld Joint - Bending Load • Perpendicular Plug Weld Joint • Perpendicular Bevel Plug Weld • Perpendicular Groove Plug Weld • Bevel Groove Plug Weld • Tube / Pipe Circumference Weld Joint • Tube / Pipe Circumference Butt Weld With Torque • Circumference Butt Weld Stress with Combined Shear and Axial Loading • Butt Weld Throat Area Equation and Calculation • Butt Weld Section Modulus Equation and Calculation • Fillet Weld Polar Moment of Inertia Equations and Calculation • Fillet Weld Moment of Inertia Equations and Calculation • Fillet Weld Throat Area Equations and Calculation • Active Fillet Weld Height Specification • Weld Joint Coefficient Conversion Constants
Spot Weld Design Equations and Calculations
• Spot Weld Single-Shear Load Stress Equation and Calculation • Spot Weld Double-Shear Load Stress Equation and Calculation • Spot Weld Perpendicular Loading of Weld Area Stress Equation and Calculation
Welding Types and Processes
• Gas Welding acetylene or hydrogen - General • Shielded Metal Arc Welding SMAW, "Stick Welding" • Gas Tungston Arc Welding, GTAW, TIG • Electric Resistance Welding - Spot Weld and Seam Welding • Brazing • Laser Welding
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Normal Stress
Where : = Normal stress [MPa,psi]
Fn = Normal force [N, lb] A = Throat area of weld [mm2, in2]
Reference Stress
Where: = Reference stress [MPa,psi] = Normal stress [MPa,psi] = Coefficient of weld joint
int - Butt Joint Calculation - Shear Load
Shear Stress
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Where : = Shear stress [MPa,psi]
Ft = shear force [N, lb] A = Throat area of the weld [mm2, in2]
Reference Stress
Where : = Reference stress [MPa , psi] = Shear stress [MPa, psi] = Coefficient of weld joint
Normal Stress
Where : = Normal Stress [MPa,psi]
F = Acting force [N, lb] δ = Weld angle [�] A = Throat area of the weld [mm2, in2] Shear Stress
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Where : = Shear Stress [MPa,psi]
F = Acting force [N, lb] δ = Weld direction angle [�] A = Throat area of the weld [mm2, in2]
Resultant reduced stress
Where: = Resultant Reduced Stress [MPa,psi] = Normal stress [MPa,psi] = Shear stress [MPa,psi]
Reference Stress

Where:

= Reference Stress [MPa,psi] = Normal stress [MPa,psi] = Shear stress [MPa,psi] = Coefficients of the weld joint

Weld Design Menu Resultant Reduced Stress

Where:

= Resultant Reduced Stress [MPa,psi] = Normal stress [MPa,psi]

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= Shear stress [MPa,psi] Reference Stress

Where :

= Reference Stress [MPa, psi]
= Normal Stress [MPa,psi] = Shear stress [MPa,psi] = Coefficient of weld joint

Weld Joint - Butt Joint Calculation -Torque Load

Shear Stress

Where :

= Shear Stress [MPA,psi]

u

= constant

- for calculation in metric units u = 1000

- for calculation in imperial units u = 12

T

= torque [Nm, lb-ft]

W = section modulus of throat area of the weld [mm3, in3]

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Reference Stress
Where : = Reference Stress [MPa,psi] = Shear Stress [MPa,psi] = coefficient of the weld joint

Normal Stress

Where :

= Normal stress [MPa,psi]

u = Constant

- for calculation in metric units u = 1000 - for calculation in imperial units u = 12

= Bending moment [Nm, lb-ft]

W = Section modulus of throat area of weld [mm3, in3]

Reference Stress

Where: = Reference stress [MPa,psi] = Normal stress [MPa,psi]

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= Coefficient of weld joint
Normal Stress
Where : = Normal stress [MPa,psi] = Constant - for calculation in metric units u = 1000 - for calculation in imperial units u = 12 = Bending moment [Nm, lb ft]
W = Section modulus of throat area of the weld [mm3, in3] Reference Stress
Where: = Reference stress [MPa,psi] = Normal stress [MPa,psi] = Coefficient of weld joint
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Shear Stress in Weld Base Area
Where: = Shear stress in weld base area [MPa,psi]
F = Shear force [N, lb] d = Diameter of plug weld [mm,in] i = Number of welds Shear Stress in Weld Peripheral Area
Where: = Shear stress in weld peripheral area [MPa,psi]
F = Shear force [N, lb] d = Diameter of plug weld [mm,in] s = Plate thickness [mm, in] i = Number of welds Weld Design Menu
Shear Stress in Weld Base Area
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Where: = Shear stress in weld base area [MPa,psi]
F = Shear force [N, lb] b = Width of weld [mm,in] L = Length of weld [mm,in] i = Number of welds
Shear Stress in Weld Peripheral Area
Where: = Shear stress in weld peripheral area [MPa,psi]
F = Shear force [N, lb] s = Plate thickness [mm, in] L = Length of weld [mm,in] i = Number of welds
Shear Stress in Weld Base Area
Where: = Shear stress in weld base area [MPa,psi]
F = Shear force [N, lb] b = Width of weld [mm,in]
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L = Length of weld [mm,in] i = Number of welds Shear Stress in Weld Peripheral Area
Where: = Shear stress in weld peripheral area [MPa,psi]
F = Shear force [N, lb] s = Plate thickness [mm, in] L = Length of weld [mm,in] i = Number of welds 