theorem of parallel axisit states that if the mi

Question

Theorem of parallel axis

It states that if the M.I. of plane area about the axis passing through the C.G. can be denoted by I_G. The M.I. of area about any other axis AB, parallel to 1^st and a distance 'h' from C.G. can be given by

I_AB = I_G  + a.h²

Where;

I_AB  = M.I. of area about an axis AB _IG  = M.I. of area about its C.G.

a = Area of section

h = Distance between C.G. of section and axis AB

This formula gets reduced to;

I_XX  = IG  + a.h²; h = distance from x - axis i.e.; Y - y

I_YY  = IG  + a.h²; h = distance from y - axis i.e.; X - x