Due to combined bearing stress(fbr), bending stress (fb)and shear stresses (q) under most unfavourable conditions of loading in butt weld, the equivalent stress can be written as

1
\(\sqrt{f_b^2+f_{br}^2+q^2}\)
2
\(\sqrt{f_b^2+f_{br}^2+3q^2}\)
3
\(\sqrt{f_b^2+f_{br}^2+3(f_{br}\times f_b)+q^2}\)
4
\(\sqrt{f_b^2+f_{br}^2+(f_{br}\times f_b)+3q^2}\)
5
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