Q$1.$Spring System

There is a spring system in the Fig$\mathrm{.}1,$ which contains $5$ identical spring and $2$ rigid rods. For each spring, spring constants are given in the Fig. $1$

Determine

a$)$ Element stiffness matrices

b$)$ Global stiffness matrix

c$)$ The nodal displacements

d$)$ Reactions at each wall

Use $k=200\frac{N}{m}m$ and $F3=500N.$

Figure $1.$ Spring System