Buttweld Under Axial and Transverse Loading

on . Posted in Structural Engineering

   

Buttweld Under Axial and Transverse Loading formulas

\(\large{ \sigma_{butt} = \frac{T}{l\;d}   }\) 

\(\large{ \tau_{butt} = \frac{V}{l\;d}   }\) 

\(\large{ \sigma_{avg} = \frac{\sigma_{butt} }{ 2 }   }\) 

\(\large{ \tau_{max} = \sqrt{ \sigma_{avg}^2 + \tau_{butt}^2 }   }\)

\(\large{ \sigma =  \sigma_{avg} \;+\; \tau_{max}   }\)

Symbol English Metric
\(\large{ \sigma_{avg} }\)  (Greek symbol sigma) = average stress of weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ l }\) = length of weld \(\large{in}\) \(\large{mm}\)
\(\large{ \tau_{max} }\)  (Greek symbol tau) = maximum shear stress \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \sigma_{butt} }\)  (Greek symbol sigma) = normal stress of weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ V }\) = shear force \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \tau_{butt} }\)  (Greek symbol tau) = shear stress of weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \sigma }\)  (Greek symbol sigma) = principle stress \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ T }\) = tensile force \(\large{lbf}\) \(\large{N}\)
\(\large{ d }\) = throat depth of weld \(\large{in}\) \(\large{mm}\)

 

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