- See Article - Welded Stress and Strain Connections
Axial Force on Butt Weld formula |
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| \( \sigma \;=\; \dfrac{ P }{ L \cdot t } \) | ||
| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( t \) = plate thickness | \(in\) | \(mm\) |
| \( P \) = total axial force | \(lbf\) | \(N\) |
Axial Force on Fillet Weld formula |
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| \( \sigma \;=\; \dfrac{ P }{ L \cdot \left( h_1 + h_2 \right) } \) | ||
| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( P \) = total axial force | \(lbf\) | \(N\) |
| \( h_1 \) = weld penetration | \(in\) | \(mm\) |
| \( h_2 \) = weld penetration | \(in\) | \(mm\) |
Bending Moment on Butt Weld formula |
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| \( \sigma \;=\; \dfrac{ M }{ L \cdot t } \) | ||
| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( M \) = bending moment | \(lbf-in\) | \(N-mm\) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( t \) = plate thickness | \(in\) | \(mm\) |
Bending Moment on Fillet Weld formula |
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| \( \sigma \;=\; \dfrac{ 3 \cdot t \cdot M }{ L \cdot t \cdot \left( 3\cdot t^2 - 6 \cdot t \cdot h + 4 \cdot h^2 \right) } \) | ||
| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( M \) = bending moment | \(lbf-in\) | \(N-mm\) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( t \) = plate thickness | \(in\) | \(mm\) |
| \( h \) = weld thickness | \(in\) | \(mm\) |
Axial Force on Angled Butt Weld formulas |
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\( \sigma \;=\; \dfrac{ P \cdot cos \theta }{ A } \) \( \sigma \;=\; \dfrac{ P \cdot \left( cos \theta \right)^2 }{ t \cdot L } \) \( \theta \;=\; \dfrac{ P \cdot sin \theta }{ A } \) \( \theta \;=\; \dfrac{ P \cdot sin \left(2 \;\theta\right) }{ 2 \cdot t \cdot L } \) |
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| Symbol | English | Metric |
| \( \tau \) (Greak symbol tau) = shear stress | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( \theta \) (Greek symbol theta) = angle of weld to load | \(deg\) | \(rad\) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( P \) = total axial force | \(lbf\) | \(N\) |
| \( A \) = weld throat area | \(in\) | \(mm\) |
| \( t \) = weld throat thickness | \(in\) | \(mm\) |
Bending Moment on Butt Weld formula |
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\( \sigma \;=\; \dfrac{ M }{ E } \) \( \sigma \;=\; \dfrac{ 6 \cdot M }{ L \cdot t^2 } \) |
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| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( M \) = bending moment | \(lbf-in\) | \(N-mm\) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( E \) = modulus of weld section | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( t \) = weld throat thickness | \(in\) | \(mm\) |
Torsion Moment on Butt Weld formula |
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\( \tau \;=\; \dfrac{ T }{ E } \) \( \tau \;=\; \dfrac{ T }{ \delta \cdot L \cdot t^2 } \) \( \delta \;=\; \dfrac{ L }{ 3 \cdot L + 1.8 \cdot t^2 } \) |
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| Symbol | English | Metric |
| \( \tau \) (Greak symbol tau) = shear stress | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( E \) = modulus of weld section | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( \delta \) (Greak symbol delta) = section modulus factor | \(dimensionless\) | \(dimensionless\) |
| \( T \) = torque force | \(lbf-in\) | \(N-mm\) |
| \( t \) = weld throat thickness | \(in\) | \(mm\) |
Bending Moment on Butt Weld formula |
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\( \sigma \;=\; \dfrac{ M }{ E } \) \( \sigma \;=\; \dfrac{ 6 \cdot M }{ L^2 \cdot t } \) |
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| Symbol | English | Metric |
| \( \sigma \) (Greek symbol sigma) = stress in weld | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( M \) = bending moment | \(lbf-in\) | \(N-mm\) |
| \( L \) = length of weld | \(in\) | \(mm\) |
| \( E \) = modulus of weld section | \(lbf \;/\; in^2 \) | \( Pa \) |
| \( t \) = weld throat thickness | \(in\) | \(mm\) |
