Fillet Weld Under Axial Torsional Loading

Written by Jerry Ratzlaff on 03 January 2020. Posted in Structural Engineering

Fillet Weld Under Axial Torsional Loading formulas
\(\large{ \tau_{shear} = \frac{ F }{ 2 \; d \; l } }\) \(\large{ I = 2\; \left( \frac{ l \; d^3 }{ 12 } + \frac{ d \; l^3 }{ 12 } + l \; d \; d_0^2 \right) }\) \(\large{ l_r = \sqrt{ \left( \frac{ l }{ 2 } \right)^2 + d_0^2 } }\) \(\large{ \tau_{torsion} = \frac{ F \; D_0 \; l_r }{ I } }\) \(\large{ \theta = tan^{ -1 } \left( \frac{ 0.5 \; l }{ d_0 } \right) }\)
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	\(\large{in}\)	\(\large{mm}\)

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Fillet Weld Under Axial Torsional Loading formulas