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Bar to Plate Welds

bplc 1A

Applied Force on PJP Fillet Weld formulas

  • Partial Joint Penetration  -  Weld fills a portion of the gap between the two pieces.

\( \tau \;=\;   \dfrac{ 0.707 \cdot F_a }{ h \cdot L   } \) 

\( \sigma \;=\;  \dfrac{ 4.24 \cdot F_a \cdot l }{ h \cdot L  } \)
Symbol English Metric
\( \tau \) (Greak symbol tau) = Shear Stress \(lbf\;/\;in^2\) \(Pa\)
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( F_a \) = Total Applied Force \( lbf \) \(N\)
\( h \) = Plate Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)
\( l \) = Bar Length \( in \) \( mm \)

  

bplc 2A

Applied Force on CJP Fillet Weld formulas

  • Complete Joint Penetration  -  Weld completely fills the gap between the two pieces.

\( \tau \;=\;  \dfrac{ F_a }{ 2 \cdot h \cdot L  }\) 

\( \sigma \;=\;  \dfrac{ 3 \cdot F_a \cdot l }{ h \cdot L^2  }\)
Symbol English Metric
\( \tau \) (Greak symbol tau) = Shear Stress \(lbf\;/\;in^2\) \(Pa\)
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( F_a \) = Total Applied Force \( lbf \) \(N\)
\( l \) = Bar Length \( in \) \( mm \)
\( h \) = Plate Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)

 

bplc 3B

Bending Moment on PJP Fillet Weld formula

  • Partial Joint Penetration  -  Weld fills a portion of the gap between the two pieces.
\( \sigma \;=\;  \dfrac{ 4.24 \cdot M }{ h \cdot L^2 }\)
Symbol English Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( M \) = Bending Moment \(lbf-in\) \(N-mm\)
\( h \) = Plate Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)

 

bplc 4

Bending Moment on CJP Fillet Weld formula

  • Complete Joint Penetration  -  Weld completely fills the gap between the two pieces.
\( \sigma \;=\;  \dfrac{ 3 \cdot M }{ h \cdot L^2 }\) 
Symbol English Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( M \) = Bending Moment \(lbf-in\) \(N-mm\)
\( h \) = Plate Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)

 

bplc 5

Bending Moment on PJP Fillet Weld All Around formula

  • Partial Joint Penetration  -  Weld fills a portion of the gap between the two pieces.
\( \sigma \;=\;  \dfrac{ 4.24 \cdot M }{ h \cdot  (\; w^2 + 3 \cdot L \cdot ( w + h )  \;)   }\) 
Symbol English Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( M \) = Bending Moment \(lbf-in\) \(N-mm\)
\( h \) = Weld Thickness \( in \) \( mm \)
\( w \) = Width of Bar \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)

 

bplc 6

Torsion Moment on CJP Fillet Weld formula

  • Complete Joint Penetration  -  Weld completely fills the gap between the two pieces.
\( \sigma \;=\;  \dfrac{ T }{  2 \cdot ( w - h ) \cdot ( L - h ) \cdot h }\) 
Symbol English Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( T \) = Torsion Moment \(lbf-in\) \(N-mm\)
\( w \) = Bar Width \( in \) \( mm \)
\( h \) = Weld Throat Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)

 

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