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Question
If IX and IY are the moments of inertia of a section about X and Y axis, the polar moment of inertia of the section is
;fn IX vkSj IY, X vkSj Y v{k ds pkjksa vksj ,d [k.M ds tM+Ro vk?kw.kZ gSa] rks [k.M dk /zqkoh; tM+Ro vk?kw.kZ gS
A.
(IX + IY) / 2
B.
(IX – IY) / 2
C.
IX + IY
D.
IX / IY
Answer ( Option C)

IX + IY

Solution

Polar Moment of Inertia also known as the second polar moment of area is a quantity used to describe resistance to torsional deformation. 
It is denoted as IZZ or J. 
Polar Moment of Inertia (J) = Area moment of Inertia about X-axis + Area moment of Inertia about Y-axis. 
 IZZ  = IXX + IYY 

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