$2\mathrm{.}5$ For the spring assemblage shown in Figure P$2-5,$ obtain the global stiffness matrix by the direct stiffness method. Let $k^{(1)}=200\frac{N}{m}m,k^{(2)}=400\frac{N}{m}m,k^{(3)}=600\frac{N}{m}m,k^{(4)}=800\frac{N}{m}m,$ and $k^{(5)}=1000\frac{N}{m}m.$ Find a nodal displacement, force and reaction