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Find the elastic deformation energy of a...

Find the elastic deformation energy of a steel rod whose one end is fixed and the other is twisted through an angle `varphi=6.0^@`. The length of the rod is equal to `l=1.0m`, and the radius to `r=10mm`.

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When the rod is twisted through an angle `theta`, a couple
`N(theta)=(pir^4G)/(2l)theta` appears to resist this. Work done in twisting the rod by an angle `varphi` is then
`underset(0)overset(varphi)intN(theta)d theta=(pir^4G)/(4l)varphi^2=7J` on putting the values.
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