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Tee Plate Welds

See Article - Welded Stress and Strain Connections

Axial Force on CJP Fillet Weld formula Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ P }{ t \cdot L }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( L \) = Weld Length	\( in \)	\( mm \)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( P \) = Total Axial Force	\( lbf \)	\( N \)

Bending Moment on CJP Fillet Weld formula Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 6 \cdot M }{ L \cdot t^2 }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( M \) = Bending Moment	\(lbf\;/\;sec\)	\(kg-m\;/\;s\)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)

Perpendicular Force on CJP Fillet Weld formulas Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 6 \cdot P \cdot H }{ L \cdot t^2 }\) \( \tau \;=\; \dfrac{ P }{ L \cdot t }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( \tau \) (Greak symbol tau) = Shear Stres	\(lbf\;/\;in^2\)	\(Pa\)
\( H \) = Height of Lever Arm	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( P \) = Total Applied Force	\( lbf \)	\( N \)

Axial Force on CJP Fillet Weld formula Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ P }{ ( h_1 + h_2) \cdot L }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( L \) = Weld Length	\( in \)	\( mm \)
\( P \) = Total Applied Force	\( lbf \)	\( N \)
\( h_1 \) = Weld Penetration	\( in \)	\( mm \)
\( h_2 \) = Weld Penetration	\( in \)	\( mm \)

Bending Moment on CJP Fillet Weld formula Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 3 \cdot t \cdot M }{ L \cdot h \cdot ( 3 \cdot t^2 - 6 \cdot t \cdot h + 4 \cdot h^2 ) }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( M \) = Bending Moment	\(lbf\;/\;sec\)	\(kg-m\;/\;s\)
\( L \) = Weld Length	\( in \)	\( mm \)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( h \) = Weld Penetration	\( in \)	\( mm \)

Perpendicular Force on CJP Fillet Weld formulas Complete Joint Penetration - Weld completely fills the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 3 \cdot t \cdot P \cdot H }{ L \cdot h \cdot ( 3 \cdot t^2 - 6 \cdot t \cdot h + 4 \cdot h^2 ) }\) \( \tau \;=\; \dfrac{ P }{ 2 \cdot L \cdot h } \)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( \tau \) (Greak symbol tau) = Shear Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( H \) = Height of Lever Arm	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( P \) = Total Applied Force	\( lbf \)	\( N \)
\( h \) = Weld Penetration	\( in \)	\( mm \)

Axial Force on PJP Fillet Weld formula Partial Joint Penetration - Weld fills a portion of the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 0.707 \cdot P }{ h \cdot L }\)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( h \) = Weld Thickness	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)
\( P \) = Total Applied Force	\( lbf \)	\( N \)

Bending Moment on PJP Fillet Weld formula Partial Joint Penetration - Weld fills a portion of the gap between the two pieces.
\( \sigma \;=\; \dfrac{ 1.414 \cdot M }{ h \cdot L \cdot ( t + h ) } \)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( M \) = Bending Moment	\(lbf\;/\;sec\)	\(kg-m\;/\;s\)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( h \) = Weld Thickness	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)

Perpendicular Force on PJP Fillet Weld formulas Partial Joint Penetration - Weld fills a portion of the gap between the two pieces.
\( \sigma \;=\; \dfrac{ P }{ L \cdot h \cdot ( t + h ) } \cdot \sqrt{ 2 \cdot H^2 + \dfrac{ ( t + h )^2 }{ 2 } } \) \( \tau \;=\; \dfrac{ 0.707 \cdot P }{ L \cdot h } \)
Symbol	English	Metric
\( \sigma \) (Greek symbol sigma) = Weld Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( \tau \) (Greak symbol tau) = Shear Stress	\(lbf\;/\;in^2\)	\(Pa\)
\( H \) = Height of Lever Arm	\( in \)	\( mm \)
\( L \) = Weld Length	\( in \)	\( mm \)
\( t \) = Plate Thickness	\( in \)	\( mm \)
\( P \) = Total Applied Force	\( lbf \)	\( N \)
\( h \) = Weld Penetration	\( in \)	\( mm \)

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