Fillet Weld Under Axial Torsional Loading
Fillet Weld Under Axial Torsional Loading formulas
\(\large{ \tau_{shear} = \frac{ F }{ 2 \; d \; l } }\) | |
\(\large{ I = 2\; \left( \frac{ l \; d^3 }{ 12 } + \frac{ d \; l^3 }{ 12 } + l \; d \; d_0^2 \right) }\) | |
\(\large{ l_r = \sqrt{ \left( \frac{ l }{ 2 } \right)^2 + d_0^2 } }\) | |
\(\large{ \tau_{torsion} = \frac{ F \; D_0 \; l_r }{ I } }\) | |
\(\large{ \theta = tan^{ -1 } \left( \frac{ 0.5 \; l }{ d_0 } \right) }\) |
Where:
\(\large{ \theta }\) = angle enclosed
\(\large{ F }\) = applied force
\(\large{ D_0 }\) = distance from centeroid of weld group to applied force
\(\large{ d_0 }\) = distance from centeroid of weld group to centerline of weld
\(\large{ l }\) = length of weld
\(\large{ \tau_{max} }\) (Greek symbol tau) = maximum shear stress in weld
\(\large{ I }\) = polar moment of interia
\(\large{ l_r }\) = radial distance to farthest point on weld
\(\large{ \tau_{shear} }\) (Greek symbol tau) = shear stress in weld due to shear force
\(\large{ \tau_{torsion} }\) (Greek symbol tau) = shear stress in weld due to torsion
\(\large{ d }\) = throat depth of weld
Tags: Equations for Pipe Sizing Equations for Structural Steel Equations for Welding Equations for Pipe Support