SSC JE Civil Engineering 2017 Set 3 Solved Paper

Question : 161 of 200

Marks: +1, -0

The locus of the moment of inertia about inclined axis to the principal axis is___.

Solution:

Ix'={I_x+I_y}/2+{I_x-I_y}/2\cos2θ

-I_\xy\sin2θ

Iy'={I_x+I_y}/2+{I_x-I_y}/2\cos2θ

+I_\xy\sin2θ

Moments of Inertia about inclined axis forms an ellipse,

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