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Bar to Plate Welds

on . Posted in Welding Engineering

Tags: Welded Stress and Strain

 

bplc 1A

Applied Force on PJP Fillet Weld formulas

\(\large{ \tau = \frac{ 0.707\; F_a}{h\;l}     }\) 

\(\large{ \sigma =  \frac{4.24\; F_a \;L}{h\;l}      }\)
Symbol English Metric
\(\large{ \tau }\) (Greak symbol tau) = shear stress  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ F_a }\) = total applied force \(\large{ lbf }\) \(\large{N}\)
\(\large{ h }\) = plate thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ L }\) = length of bar \(\large{ in }\) \(\large{ mm }\)

 

bplc 2A

Applied Force on CJP Fillet Weld formulas

\(\large{ \tau = \frac{F_a}{2 \;h\;l}     }\) 

\(\large{ \sigma =  \frac{3\; F_a\; L}{h\;l^2}   }\)
Symbol English Metric
\(\large{ \tau }\) (Greak symbol tau) = shear stress  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ F_a }\) = total applied force \(\large{ lbf }\) \(\large{N}\)
\(\large{ h }\) = plate thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ L }\) = length of bar \(\large{ in }\) \(\large{ mm }\)

 

bplc 3B

Bending Moment on PJP Fillet Weld formula
\(\large{ \sigma =  \frac{4.24\;M}{h\;l^2 }    }\) 
Symbol English Metric
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ M }\) = bending moment \(\large{lbf-in}\) \(\large{N-mm}\)
\(\large{ h }\) = plate thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)

 

bplc 4

Bending Moment on CJP Fillet Weld formula
\(\large{ \sigma =  \frac{3\;M}{h\;l^2 }    }\) 
Symbol English Metric
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ M }\) = bending moment \(\large{lbf-in}\) \(\large{N-mm}\)
\(\large{ h }\) = plate thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)

 

bplc 5

Bending Moment on PJP Fillet Weld All Around formula
\(\large{ \sigma =  \frac{4.24\;M}{h \;\left[ w^2 \;+ \;3\;l \; \left( w\; +\; h  \right)  \right] }    }\) 
Symbol English Metric
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ M }\) = bending moment \(\large{lbf-in}\) \(\large{N-mm}\)
\(\large{ h }\) = weld thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ w }\) = width of bar \(\large{ in }\) \(\large{ mm }\)

 

bplc 6

Torsion Moment on CJP Fillet Weld formula
\(\large{ \sigma =  \frac{T}{ 2\; \left( w \;- \;h \right)\; \left( l\; -\; h \right) \;h  }    }\) 
Symbol English Metric
\(\large{ \sigma }\) (Greek symbol sigma) = stress in weld  \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ T }\) = torsion moment \(\large{lbf-in}\) \(\large{N-mm}\)
\(\large{ h }\) = weld throat thickness \(\large{ in }\) \(\large{ mm }\)
\(\large{ l }\) = length of weld \(\large{ in }\) \(\large{ mm }\)
\(\large{ w }\) = width of bar \(\large{ in }\) \(\large{ mm }\)

 

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Tags: Welded Stress and Strain

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