Butt End Weld Joint Calculation Formulas
Butt end weld loaded with normal force
Normal stress
where:
F n | normal force [N, lb] | |
A | throat area of the weld [mm 2 , in 2 ] |
Reference stress
where:
σ 1 | normal stress [MPa, psi] | |
α 1 | factor of the weld joint [-] |
Butt end weld loaded with shear force
Shear stress
where:
F t | shear force [N, lb] | |
A | throat area of the weld [mm 2 , in 2 ] |
Reference stress
where:
| τ | shear stress [MPa, psi] | |
α 2 | factor of the weld joint [-] |
Butt end weld loaded with bending in the plane of welded parts
Normal stress
where:
u | constant | |
α 2 | - for calculation in metric units u = 1000 | |
α 2 | - for calculation in English units u = 12 | |
M 1 n | bending moment [Nm, lb ft] | |
W | section modulus of throat area of the weld [mm 3 , in 3 ] |
Reference stress
where:
σ 2 | normal stress [MPa, psi] | |
α 1 | factor of the weld joint [-] |
Butt end weld loaded with bending in the plane perpendicular to the plane of welded parts
Normal stress
where:
u | constant | |
- for calculation in metric units u = 1000 | ||
- for calculation in English units u = 12 | ||
M 2 | bending moment [Nm, lb ft] | |
W | section modulus of throat area of the weld [mm 3 , in 3 ] |
Reference stress
where:
σ 3 | normal stress [MPa, psi] | |
α 1 | factor of the weld joint [-] |
Butt end weld loaded with combined loading
Resultant reduced stress
where:
σ 1 , σ 2 , σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] |
Reference stress
where:
σ 1 , σ 2 , σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] | |
α 1 , α 2 | factor of the weld joint [-] |
Butt end weld loaded with torque
Shear stress
where:
u | constant | |
- for calculation in metric units u = 1000 | ||
- for calculation in English units u = 12 | ||
T | torque [Nm, lb ft] | |
W | section modulus of throat area of the weld [mm 3 , in 3 ] |
Reference stress
where:
τ max | shear stress [MPa, psi] | |
α 2 | factor of the weld joint [-] |
Meaning of used variables: