$(16)5.$ Use the slope$-$defection method to analyze the frame structure shown. Draw shear and bending moment diagrams. Indicate on both diagrams the magnitude of maximum and minimum ordinates. There are no loads on the structure, but pin$-$ended columns $(1)-(5)$ and $(4)(8)$ were both fabricated $0\mathrm{.}048m$ too long; the columns were forced into place. All members of the structure have the same EI value that is $5\mathrm{.}0{10}^{4}kN.m^2$ and all members are inextensible.