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Bar to Plate Welds

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bplc 1A

Applied Force on PJP Fillet Weld formulas

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

\( \tau \;=\; 0.707 \; F_a \;/\; h \; L    \) 

\( \sigma \;=\; 4.24 \; F_a \; l \;/\; h \; L   \)
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.

\( \tau \;=\;  F_a \;/\; 2 \; h \; L  \) 

\( \sigma \;=\;  3 \; F_a\; l \;/\; h \; L^2  \)
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 \( lbf \) \(N\)
\( h \) = Plate Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)
\( l \) = Bar 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.
\( \sigma \;=\;  4.24 \; M \;/\; h \; L^2 \) 
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.
\( \sigma \;=\; 3 \; M \;/\; h \; L^2 \) 
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.
\( \sigma \;=\; 4.24 \; M \;/\; h \; [\; w^2 + 3 \; L \; ( w + h )  \;]   \) 
Symbol English Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress \(lbf\;/\;in^2\) \(Pa\)
\( M \) = Bending Moment \(lbf-in\) \(N-mm\)
\( h \) = Weld Thickness \( in \) \( mm \)
\( L \) = Weld Length \( in \) \( mm \)
\( w \) = Width of Bar \( in \) \( mm \)

 

bplc 6

Torsion Moment on CJP Fillet Weld formula

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

 

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Tags: Welded Stress and Strain

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