Structural Shapes to Plate Welds

on . Posted in Welding Engineering

Tags: Welded Stress and Strain  

 

apc 1

Axial Force on fillet Weld formula

\(\large{ \sigma = \frac{ 1.414 \; P }{ h \; \left( l_1 \;+\; l_2  \right)  }  }\)

\(\large{ P = \frac{ \sigma \; h \; \left( l_1 \;+\; l_2  \right)  }{ 1.414 }  }\)

\(\large{ h = \frac{ 1.414 \; P }{ \sigma \; \left( l_1 \;+\; l_2  \right)  }  }\)

\(\large{ l_1 = \frac{ 1.414 \; P }{ \sigma \; h } - l_2 }\)

\(\large{ l_2 = \frac{ 1.414 \; P }{ \sigma \; h } - l_1 }\)

Symbol English Metric
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ P }\) = total axial force \(\large{ lbf }\) \(\large{ N }\)
\(\large{ h }\) = weld throat thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l_1 }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ l_2 }\) = length of weld \(\large{ in }\) \(\large{ mm }\)

    

apc 1

Axial Force on fillet Weld formula

\(\large{ l_1 = \frac{ 1.414 \; P \; c_1 }{ \sigma \; h \; w }  }\)

\(\large{ P = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; c_1 }  }\)

\(\large{ c_1 = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; P }  }\)

\(\large{ \sigma = \frac{ 1.414 \; P \; c_1 }{ l_1 \; h \; w }  }\)

\(\large{ h = \frac{ 1.414 \; P \; c_1 }{ \sigma \; l_1 \; w }  }\)

\(\large{ w = \frac{ 1.414 \; P \; c_1 }{ \sigma \; h \; l_1 }  }\)

Symbol English Metric
\(\large{ l_1 }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ P }\) = total axial force \(\large{ lbf }\) \(\large{ N }\)
\(\large{ c_1 }\) = distance from shear centre of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ h }\) = weld throat thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ w }\) = distance between weld \(\large{ in }\) \(\large{ mm }\)

      

apc 1

Axial Force on fillet Weld formula

\(\large{ l_2 = \frac{ 1.414 \; P \; c_x }{  \sigma \; h \; w   }    }\)

\(\large{ P = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; c_x }  }\)

\(\large{ c_x = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; P }  }\)

\(\large{ \sigma = \frac{ 1.414 \; P \; c_x }{ l_1 \; h \; w }  }\)

\(\large{ h = \frac{ 1.414 \; P \; c_x }{ \sigma \; l_1 \; w }  }\)

\(\large{ w = \frac{ 1.414 \; P \; c_x }{ \sigma \; h \; l_1 }  }\)

Symbol English Metric
\(\large{ l_2 }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ P }\) = total axial force \(\large{ lbf }\) \(\large{ N }\)
\(\large{ c_x }\) = distance from shear centre of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ h }\) = weld throat thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ w }\) = distance between weld \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Welded Stress and Strain