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Fillet Weld Polar Moment of Inertia Equations and Calculation

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The following are equations to obtain the Polar Moment of Inertia for "J" welds.


Polar Moment of Inertia

Fillet "J" Weld [mm4, in4]

Location Center of Gravity



Polar Moment of inertia [mm4, in4]

= Center of Gravity Location [mm, in]

= Center of Gravity Location [mm, in]


= Height fillet weld [mm, in]


= Width of weld [mm, in]
s = Web thickness [mm, in]
L = Length of weld [mm, in] 
r = Weld radius [mm, in]
t = Flange thickness [mm, in]
H = Height of fillet weld group [mm, in]

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