Structural Shapes to Plate Welds

Axial Force on fillet Weld formula
\( \sigma \;=\; \dfrac{ 1.414 \cdot P }{ h \cdot \left( l_1 + l_2 \right) } \) \( P \;=\; \dfrac{ \sigma \cdot h \cdot \left( l_1 + l_2 \right) }{ 1.414 } \) \( h \;=\; \dfrac{ 1.414 \cdot P }{ \sigma \cdot \left( l_1 + l_2 \right) } \) \( l_1 \;=\; \dfrac{ 1.414 \cdot P }{ \sigma \cdot h } - l_2 \) \( l_2 \;=\; \dfrac{ 1.414 \cdot P }{ \sigma \cdot h } - l_1 \)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = stress in weld	\(lbf \;/\; in^2\)	\(Pa\)
\( P \) = total axial force	\( lbf \)	\( N \)
\( h \) = weld throat thickness	\( in \)	\( mm \)
\( l_1 \) = length of weld	\( in \)	\( mm \)
\( l_2 \) = length of weld	\( in \)	\( mm \)

Axial Force on fillet Weld formula
\( l_1 \;=\; \dfrac{ 1.414 \cdot P \cdot c_1 }{ \sigma \cdot h \cdot w } \) \( P \;=\; \dfrac{ l_1 \cdot \sigma \cdot h \cdot w }{ 1.414 \cdot c_1 } \) \( c_1 \;=\; \dfrac{ l_1 \cdot \sigma \cdot h \cdot w }{ 1.414 \cdot P } \) \( \sigma \;=\; \dfrac{ 1.414 \cdot P \cdot c_1 }{ l_1 \cdot h \cdot w } \) \( h \;=\; \dfrac{ 1.414 \cdot P \cdot c_1 }{ \sigma \cdot l_1 \cdot w } \) \( w \;=\; \dfrac{ 1.414 \cdot P \cdot c_1 }{ \sigma \cdot h \cdot l_1 } \)
Symbol	English	Metric
\( l_1 \) = length of weld	\( in \)	\(\large{ mm }\)
\( P \) = total axial force	\( lbf \)	\( N \)
\( c_1 \) = distance from shear centre of weld	\( in \)	\( mm \)
\( \sigma \) (Greek symbol sigma) = stress in weld	\(lbf \;/\; in^2\)	\(Pa\)
\( h \) = weld throat thickness	\( in \)	\( mm \)
\( w \) = distance between weld	\( in \)	\( mm \)

Axial Force on fillet Weld formula
\( l_2 \;=\; \dfrac{ 1.414 \cdot P \cdot c_x }{ \sigma \cdot h \cdot w } \) \( P \;=\; \dfrac{ l_1 \cdot \sigma \cdot h \cdot w }{ 1.414 \cdot c_x } \) \( c_x \;=\; \dfrac{ l_1 \cdot \sigma \cdot h \cdot w }{ 1.414 \cdot P } \) \( \sigma \;=\; \dfrac{ 1.414 \cdot P \cdot c_x }{ l_1 \cdot h \cdot w } \) \( h \;=\; \dfrac{ 1.414 \cdot P \cdot c_x }{ \sigma \cdot l_1 \cdot w } \) \( w \;=\; \dfrac{ 1.414 \cdot P \cdot c_x }{ \sigma \cdot h \cdot l_1 } \)
Symbol	English	Metric
\( l_2 \) = length of weld	\( in \)	\( mm \)
\( P \) = total axial force	\( lbf \)	\( N \)
\( c_x \) = distance from shear centre of weld	\( in \)	\( mm \)
\( \sigma \) (Greek symbol sigma) = stress in weld	\(lbf \;/\; in^2\)	\(Pa\)
\( h \) = weld throat thickness	\( in \)	\( mm \)
\( w \) = distance between weld	\( in \)	\( mm \)