Consider the construction shown in the figure below. The

supports at A and $C$ are flexible and have a stiffness $k.$ The

material has a modulus of elasticity of $E.($Figure $1)$

Figure

Determine the support reaction at $A.$

Express your answer in terms of $$ and some or all of the variables $k,a,d,P,$ and $E.$

$F_A=$

Part B

Determine the support reaction at $C.$

Express your answer in terms of $$ and some or all of the variables $k,a,d,P,$ and $E.$

$F_C=$