Pipe and Tube Welds

Written by Jerry Ratzlaff on . Posted in Welding

Welding Related Articles

 

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Axial Force on CJP Butt Weld formula

\(\large{ \sigma =  \frac{ P }{ A }    }\)   
\(\large{ \sigma =  \frac{ 4 \; P }{ \pi \; \left( D^2 \;-\; d^2  \right) }    }\)  
\(\large{ d =  D \;-\; 2 \; t    }\)  

Where:

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

\(\large{ \pi }\) = Pi

\(\large{ d }\) = pipe/tube inside diameter

\(\large{ D }\) = pipe/tube outside diameter

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

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

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

 

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Shear Force on CJP Butt Weld formula

\(\large{ \tau = \tau_p = \frac{ V }{ A }    }\)   
\(\large{ \tau = \tau_p = \frac{ 4 \; V }{ \pi \; \left( D^2 \;-\; d^2  \right) }    }\)  
\(\large{ d = D \;-\; 2 \; t    }\)  

Where:

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

\(\large{ \tau_p }\) (Greak symbol tau) = shear stress parallel to weld direction

\(\large{ \pi }\) = Pi

\(\large{ d }\) = pipe/tube inside diameter

\(\large{ D }\) = pipe/tube outside diameter

\(\large{ V }\) = total shear force

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

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

 

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Bending Moment on CJP Butt Weld formula

\(\large{ \sigma =  \frac{ M }{ E }    }\)   
\(\large{ \sigma =  \frac{ 32 \; M }{ \pi \; D^3 \; \left[ 1 \;-\; \left( \frac{ d }{ D } \right)^4   \right]   }    }\)  
\(\large{ d =  D \;-\; 2 \; t    }\)  

Where:

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

\(\large{ \pi }\) = Pi

\(\large{ d }\) = pipe/tube inside diameter

\(\large{ D }\) = pipe/tube outside diameter

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

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

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

 

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Torsion Moment on CJP Butt Weld formula

\(\large{ \tau_p =  \frac{ T }{ E }    }\)   
\(\large{ \tau_p =  \frac{ 16 \; T }{ \pi \; D^3 \; \left[ 1 \;-\; \left( \frac{ d }{ D } \right)^4   \right]   }    }\)  
\(\large{ d =  D \;-\; 2 \; t    }\)  

Where:

\(\large{ \tau_p }\) (Greak symbol tau) = shear stress parallel to weld direction

\(\large{ \pi }\) = Pi

\(\large{ d }\) = pipe/tube inside diameter

\(\large{ D }\) = pipe/tube outside diameter

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

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

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

 

Tags: Equations for Welded Stress and Strain