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Consider the four$-$element spring system shown. Given $k1=25l\frac{b}{i}n,k2=35l\frac{b}{?}$ in$,k3=45l\frac{b}{i}n,k4=30l\frac{b}{i}n,$ and $P=75lb,$ determine the global stiffness matrix for the system

For the spring system given in Figure $2,$

a$.$ Assemble the global stiffness and force matrix.

b$.$ Partition the system and solve for the nodal displacements.

c$.$ Compute the reaction forces.

Figure $2$

$(3)$ Data for Problem