The frame structure is loaded as shown in the figure. Support A can settle into the ground and

soil subgrade reaction is considered by a spring having a constant of $3600k\frac{N}{m}.$

a$)$ Estimate elastic curve $($deformed shape$)$ of the structure under given loadings.

b$)$ Calculate unknown joint displacements using Slope$-$Deflection Method.

$E=2{10}^{8}k\frac{N}{m^2}$ and $I=6\mathrm{.}572{10}^{-5}{m}^4$

Note: All members are inextensible $($no axial deformation$).$

Only bending deformations will be considered!

Support A is a pin support and does not resist to bending moments.