Flat Plate Welds

Written by Jerry Ratzlaff on . Posted in Welding Engineering

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apc 1Axial Force on Butt Weld formula

\(\large{ \sigma = \frac{ P }{  L \; t  }     }\)  

Where:

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

\(\large{ L }\) = length of weld

\(\large{ t }\) = plate thickness

\(\large{ P }\) = total axial force

 

bpc 2

Axial Force on Fillet Weld formula

\(\large{ \sigma = \frac{ P }{ L \; \left( h_1 \;+\; h_2  \right)     }     }\)   

Where:

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

\(\large{ L }\) = length of weld

\(\large{ P }\) = total axial force

\(\large{ h_1 }\) = weld penetration

\(\large{ h_2 }\) = weld penetration

 

bpc 3

Bending Moment on Butt Weld formula

\(\large{ \sigma = \frac{ M }{  L \; t  }     }\)  

Where:

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

\(\large{ M }\) = bending moment

\(\large{ L }\) = length of weld

\(\large{ t }\) = plate thickness

 

fpc 4Bending Moment on Fillet Weld formula

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

Where:

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

\(\large{ M }\) = bending moment

\(\large{ L }\) = length of weld

\(\large{ t }\) = plate thickness

\(\large{ h }\) = weld thickness

 

fpc 5Axial Force on Angled Butt Weld formulas

\(\large{ \sigma = \frac{ P \; cos \; \theta }{ A }     }\)   
\(\large{ \sigma = \frac{ P \; \left( cos \; \theta \right)^2 }{ t \; L }     }\)  
\(\large{ \theta = \frac{ P \; sin \; \theta }{ A }     }\)  
\(\large{ \theta = \frac{ P \; sin \; \left(2 \;\theta\right) }{ 2 \; t \; L }     }\)  

Where:

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

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

\(\large{ \theta }\) (Greek symbol theta) = angle of weld to load

\(\large{ L }\) = length of weld

\(\large{ P }\) = total axial force

\(\large{ A }\) = weld throat area

\(\large{ t }\) = weld throat thickness

 

fpc 6Bending Moment on Butt Weld formula

\(\large{ \sigma = \frac{ M }{ E  }     }\)  
\(\large{ \sigma = \frac{ 6 \; M }{ L \; t^2  }     }\)  

Where:

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

\(\large{ M }\) = bending moment

\(\large{ L }\) = length of weld

\(\large{ E }\) = modulus of weld section

\(\large{ t }\) = weld throat thickness

 

fpc 6

Torsion Moment on Butt Weld formula

\(\large{ \tau = \frac{ T }{ E  }     }\)  
\(\large{ \tau = \frac{ T }{ \delta \; L \; t^2  }     }\)  
\(\large{ \delta = \frac{ L }{ 3 \; L \;+\; 1.8 \; t^2  }   }\)  

Where:

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

\(\large{ L }\) = length of weld

\(\large{ E }\) = modulus of weld section

\(\large{ \delta }\) (Greak symbol delta) = section modulus factor

\(\large{ T }\) = torque force

\(\large{ t }\) = weld throat thickness

 

fpc 6

Bending Moment on Butt Weld formula

\(\large{ \sigma = \frac{ M }{ E  }     }\)  
\(\large{ \sigma = \frac{ 6 \; M }{ L^2 \; t  }     }\)  

Where:

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

\(\large{ M }\) = bending moment

\(\large{ L }\) = length of weld

\(\large{ E }\) = modulus of weld section

\(\large{ t }\) = weld throat thickness

 

Tags: Equations for Welded Stress and Strain