Fillet Weld Under Axial Torsional Loading
Fillet Weld Under Axial Torsional Loading formulas |
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\(\large{ \tau_{shear} = \frac{ F }{ 2 \; d \; l } }\) \(\large{ I = 2\; \left( \frac{ l \; d^3 }{ 12 } + \frac{ d \; l^3 }{ 12 } + l \; d \; d_0^2 \right) }\) \(\large{ l_r = \sqrt{ \left( \frac{ l }{ 2 } \right)^2 + d_0^2 } }\) \(\large{ \tau_{torsion} = \frac{ F \; D_0 \; l_r }{ I } }\) \(\large{ \theta = tan^{ -1 } \left( \frac{ 0.5 \; l }{ d_0 } \right) }\) |
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| Symbol | English | Metric |
| \(\large{ \theta }\) = angle enclosed | \(\large{deg}\) | \(\large{rad}\) |
| \(\large{ F }\) = applied force | \(\large{ lbf }\) | \(\large{ N}\) |
| \(\large{ D_0 }\) = distance from centeroid of weld group to applied force | \(\large{in}\) | \(\large{mm}\) |
| \(\large{ d_0 }\) = distance from centeroid of weld group to centerline of weld | \(\large{in}\) | \(\large{mm}\) |
| \(\large{ l }\) = length of weld | \(\large{in}\) | \(\large{mm}\) |
| \(\large{ \tau_{max} }\) (Greek symbol tau) = maximum shear stress in weld | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ I }\) = polar moment of interia | \(\large{in^4}\) | \(\large{mm^4}\) |
| \(\large{ l_r }\) = radial distance to farthest point on weld | \(\large{in}\) | \(\large{mm}\) |
| \(\large{ \tau_{shear} }\) (Greek symbol tau) = shear stress in weld due to shear force | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ \tau_{torsion} }\) (Greek symbol tau) = shear stress in weld due to torsion | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ d }\) = throat depth of weld | \(\large{in}\) | \(\large{mm}\) |
Tags: Pipe Sizing Equations Structural Steel Equations Welding Equations Pipe Support Equations