$(16)3.$ Use Castigliano's theorem

$($the least work theorem$)$

to analyze the structure shown.

Calculate the maximum

bending moment and shear in

the beam; plot shear and

bending moment diagrams for

the beam. The beam has

$EI=1\mathrm{.}44{10}^{4}kN.m^2$ and is

inextensible. The steel rod has

$EA=1\mathrm{.}25{10}^{4}kN.$