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Bar to Plate Welds

- See Article - Welded Stress and Strain Connections

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	$in$	$mm$

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	$in$	$mm$

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	$in$	$mm$

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	$in$	$mm$

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	$in$	$mm$

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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