Consider a multi$-$storey frame subjected to uniform loads and lateral loads as shown.

Neglecting the axial deformation of beams and columns, there are $18$ degrees of

freedom as shown. Determine stiffness coefficients $k_{1,l},k_{\frac{8.}{1}},k_{12\mathrm{.}12},k_{8\mathrm{.}12},k_{\frac{1}{1},12},k_{\frac{16}{8},}$

and $.$ Determine $\{F\}$ for the problem if in addition to the loading shown, there

are support settlement of $d^{\text{'}}$ and rotation ${}^{\text{'}}$ at the support of the middle column.