For the determinate structural system made of rigid bars $($hinged at A$)$ and elastic springs subject to the applied load, $P,$ as shown below.

a$.$ What is the minimum number of $($independent$)$ degrees of freedom of the system?

b$.$ What is the displacement at point A $($hinge$)$ due to the applied load $P?$

c$.$ What are the forces on the two springs and at the supports?

$\{$The solutions have to be:

$($a$)1$

$($b$)u_A=\frac{3P}{(k_1+k_2)}$

$($c$)f_{S1}=k_1\frac{u_A}{2}$

$f_{S2}=k_2\frac{u_A}{2}$

$R_L=\frac{1}{4}(k_1{u}_A-P)=\frac{P}{4}(\frac{2k_1-k_2}{(k_1+k_2)})$

$R_R=()\}\}$