# Structural Shapes to Plate Welds

on . Posted in Welding Engineering

## Axial Force on fillet Weld formula

$$\large{ \sigma = \frac{ 1.414 \; P }{ h \; \left( l_1 \;+\; l_2 \right) } }$$

$$\large{ P = \frac{ \sigma \; h \; \left( l_1 \;+\; l_2 \right) }{ 1.414 } }$$

$$\large{ h = \frac{ 1.414 \; P }{ \sigma \; \left( l_1 \;+\; l_2 \right) } }$$

$$\large{ l_1 = \frac{ 1.414 \; P }{ \sigma \; h } - l_2 }$$

$$\large{ l_2 = \frac{ 1.414 \; P }{ \sigma \; h } - l_1 }$$

Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ P }$$ = total axial force $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ h }$$ = weld throat thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ l_1 }$$ = length of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ l_2 }$$ = length of weld $$\large{ in }$$ $$\large{ mm }$$

## Axial Force on fillet Weld formula

$$\large{ l_1 = \frac{ 1.414 \; P \; c_1 }{ \sigma \; h \; w } }$$

$$\large{ P = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; c_1 } }$$

$$\large{ c_1 = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; P } }$$

$$\large{ \sigma = \frac{ 1.414 \; P \; c_1 }{ l_1 \; h \; w } }$$

$$\large{ h = \frac{ 1.414 \; P \; c_1 }{ \sigma \; l_1 \; w } }$$

$$\large{ w = \frac{ 1.414 \; P \; c_1 }{ \sigma \; h \; l_1 } }$$

Symbol English Metric
$$\large{ l_1 }$$ = length of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total axial force $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ c_1 }$$ = distance from shear centre of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ h }$$ = weld throat thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ w }$$ = distance between weld $$\large{ in }$$ $$\large{ mm }$$

## Axial Force on fillet Weld formula

$$\large{ l_2 = \frac{ 1.414 \; P \; c_x }{ \sigma \; h \; w } }$$

$$\large{ P = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; c_x } }$$

$$\large{ c_x = \frac{ l_1 \; \sigma \; h \; w }{ 1.414 \; P } }$$

$$\large{ \sigma = \frac{ 1.414 \; P \; c_x }{ l_1 \; h \; w } }$$

$$\large{ h = \frac{ 1.414 \; P \; c_x }{ \sigma \; l_1 \; w } }$$

$$\large{ w = \frac{ 1.414 \; P \; c_x }{ \sigma \; h \; l_1 } }$$

Symbol English Metric
$$\large{ l_2 }$$ = length of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total axial force $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ c_x }$$ = distance from shear centre of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ h }$$ = weld throat thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ w }$$ = distance between weld $$\large{ in }$$ $$\large{ mm }$$