Calculating Plate Joins with Double-Sided Butt Welds
Butt weld loaded with normal stress
Normal stress
where:
F z | normal force [N, lb]. | |
A | throat area of the weld [mm 2 , in 2 ]. |
Comparative stress
where:
σ 1 | normal stress [MPa, psi] | |
α 1 | conversion factor of the weld joint [-] |
Butt weld loaded with bending moment
Normal stress
where:
u | constant | |
- for calculation in metric units u = 1000 | ||
- for calculation in English units u = 12 | ||
M | bending moment [Nm, lb ft] | |
W | section modulus of throat area of the weld [mm 3 , in 3 ] |
Comparative stress
where:
σ 2 | normal stress [MPa, psi] | |
α 1 | conversion factor of the weld joint [-] |
Butt weld loaded with bending force
Normal stress
where:
F y | bending force [N, lb] | |
e | force arm [mm, in] | |
W | section modulus of throat area of the weld [mm 3 , in 3 ] |
Shear stress
where:
F z | axial force [N, lb]. | |
A | throat area of the weld [mm 2 , in 2 ]. |
Resultant reduced stress
where:
σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] |
Comparative stress
where:
σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] | |
α 1 , α 2 | conversion factors of weld joint [-] |
Butt weld loaded with combined loading
Total normal stress
σ = σ 1 + σ 2 [MPa, psi]
where:
σ 1 , σ 2 | normal stress [MPa, psi] |
Comparative stress
where:
σ 1 , σ 2 | normal stress [MPa, psi] | |
α 1 | conversion factor of the weld joint [-] |
Butt weld loaded with combined loading
Resultant reduced stress
where:
σ 1 , σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] |
Comparative stress
where:
σ 1 , σ 3 | normal stress [MPa, psi] | |
| τ | shear stress [MPa, psi] | |
α 1 , α 2 | conversion factors of the weld joint [-] |
Meaning of used variables: