# Bar to Plate Welds

Written by Jerry Ratzlaff on . Posted in Welding Engineering

## Applied Force on PJP Fillet Weld formulas

 $$\large{ \tau = \frac{ 0.707\; F_a}{h\;l} }$$ $$\large{ \sigma = \frac{4.24\; F_a \;L}{h\;l} }$$

### Where:

$$\large{ \tau }$$ (Greak symbol tau) = shear stress

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ F_a }$$ = total applied force

$$\large{ h }$$ = plate thickness

$$\large{ l }$$ = length of weld

$$\large{ L }$$ = length of bar

## Applied Force on CJP Fillet Weld formulas

 $$\large{ \tau = \frac{F_a}{2 \;h\;l} }$$ $$\large{ \sigma = \frac{3\; F_a\; L}{h\;l^2} }$$

### Where:

$$\large{ \tau }$$ (Greak symbol tau) = shear stress

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ F_a }$$ = total applied force

$$\large{ h }$$ = plate thickness

$$\large{ l }$$ = length of weld

$$\large{ L }$$ = length of bar

## Bending Moment on PJP Fillet Weld formula

 $$\large{ \sigma = \frac{4.24\;M}{h\;l^2 } }$$

### Where:

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ M }$$ = bending moment

$$\large{ h }$$ = plate thickness

$$\large{ l }$$ = length of welds

## Bending Moment on CJP Fillet Weld formula

 $$\large{ \sigma = \frac{3\;M}{h\;l^2 } }$$

### Where:

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ M }$$ = bending moment

$$\large{ h }$$ = plate thickness

$$\large{ l }$$ = length of welds

## Bending Moment on PJP Fillet Weld All Around formula

 $$\large{ \sigma = \frac{4.24\;M}{h \;\left[ w^2 \;+ \;3\;l \; \left( w\; +\; h \right) \right] } }$$

### Where:

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ M }$$ = bending moment

$$\large{ h }$$ = weld thickness

$$\large{ l }$$ = length of welds

$$\large{ w }$$ = width of bar

## Torsion Moment on CJP Fillet Weld formula

 $$\large{ \sigma = \frac{T}{ 2\; \left( w \;- \;h \right)\; \left( l\; -\; h \right) \;h } }$$

### Where:

$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld

$$\large{ T }$$ = torsion moment

$$\large{ h }$$ = weld throat thickness

$$\large{ l }$$ = length of weld

$$\large{ w }$$ = width of bar