# Tee Plate Welds

on . Posted in Welding Engineering

## Axial Force on CJP Fillet Weld formula

$$\large{ \sigma = \frac{ P }{ t \; L } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ L }$$ = length of weld $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total axial force $$\large{ lbf }$$ $$\large{ N }$$

## Bending Moment on CJP Fillet Weld formula

$$\large{ \sigma = \frac{ 6 \; M }{ L \; t^2 } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ M }$$ = bending moment $$\large{\frac{lbf}{sec}}$$   $$\large{\frac{kg-m}{s}}$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$

## Perpendicular Force on CJP Fillet Weld formulas

$$\large{ \sigma = \frac{ 6 \; P \; H }{ L \; t^2 } }$$

$$\large{ \tau = \frac{ P }{ L \; t } }$$

Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ \tau }$$ (Greak symbol tau) = shear stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ H }$$ = height of lever arm $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total applied force $$\large{ lbf }$$  $$\large{ N }$$

## Axial Force on CJP Fillet Weld formula

$$\large{ \sigma = \frac{ P }{ \left( h_1 \;+\; h_2 \right) \; L } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total applied force $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ h_1 }$$ = weld penetration $$\large{ in }$$ $$\large{ mm }$$
$$\large{ h_2 }$$ = weld penetration $$\large{ in }$$ $$\large{ mm }$$

## Bending Moment on CJP Fillet Weld formula

$$\large{ \sigma = \frac{ 3\;t\;M }{ L\;h \; \left( 3\;t^2 \;-\; 6\;t\;h \;+\; 4\;h^2 \right) } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ M }$$ = bending moment   $$\large{\frac{lbf}{sec}}$$   $$\large{\frac{kg-m}{s}}$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ h }$$ = weld penetration $$\large{ in }$$ $$\large{ mm }$$

## Perpendicular Force on CJP Fillet Weld formulas

$$\large{ \sigma = \frac{ 3\;t\;P\;H }{ L\;h \; \left( 3\;t^2 \;-\; 6\;t\;h \;+\; 4\;h^2 \right) } }$$

$$\large{ \tau = \frac{ P }{ 2\; L \; h } }$$

Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ \tau }$$ (Greak symbol tau) = shear stress   $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ H }$$ = height of lever arm $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total applied force $$\large{ lbf }$$ $$\large{ N }$$
$$\large{ h }$$ = weld penetration $$\large{ in }$$ $$\large{ mm }$$

## Axial Force on PJP Fillet Weld formula

$$\large{ \sigma = \frac{ 0.707 \; P }{ h \; L } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ h }$$ = weld thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total applied force $$\large{ lbf }$$ $$\large{ N }$$

## Bending Moment on PJP Fillet Weld formula

$$\large{ \sigma = \frac{ 1.414 \; M }{ h \; L \; \left( t \;+\; h \right) } }$$
Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ M }$$ = bending moment   $$\large{\frac{lbf}{sec}}$$   $$\large{\frac{kg-m}{s}}$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ h }$$ = weld thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$

## Perpendicular Force on PJP Fillet Weld formulas

$$\large{ \sigma = \frac{ P }{ L\;h \; \left( t \;+\; h \right) } \; \sqrt{ 2 \; H^2 \;+\; \frac{ \left( t \;+\; h \right)^2 }{ 2 } } }$$

$$\large{ \tau = \frac{ 0.707 \; P }{ L \; h } }$$

Symbol English Metric
$$\large{ \sigma }$$ (Greek symbol sigma) = stress in weld  $$\large{\frac{lbf}{in^2}}$$  $$\large{Pa}$$
$$\large{ \tau }$$ (Greak symbol tau) = shear stress $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ H }$$ = height of lever arm $$\large{ in }$$ $$\large{ mm }$$
$$\large{ L }$$ = length of welds $$\large{ in }$$ $$\large{ mm }$$
$$\large{ t }$$ = plate thickness $$\large{ in }$$ $$\large{ mm }$$
$$\large{ P }$$ = total applied force $$\large{ lbf }$$    $$\large{ N }$$
$$\large{ h }$$ = weld penetration $$\large{ in }$$ $$\large{ mm }$$ 