Theorem of parallel axis, Mechanical Engineering

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 IG. The M.I. of area about any other axis AB, parallel to 1st and a distance 'h' from C.G. can be given by

IAB = IG  + a.h2


IAB  = 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;

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

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

Posted Date: 10/20/2012 7:42:52 AM | Location : United States

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