Compare the performance of the solid rectangular, hollow rectangular, solid circular, and hollow

circular sections assuming that they all have the same cross$-$sectional area. Assume that for a

rectangular solid section $()$ h w $=3,$ for a rectangular hollow section $($h bt t b i ib h i $===3,0\mathrm{.}2),$ for a

circular solid section $()$ r $,$ and for a circular hollow section $()=1\mathrm{.}2$ o i r r $.$ Now derive the expressions

for A $,$ z I and Sz in terms of equivalent w for all the cross$-$sections and rank the cross$-$section type

for each property