Problem $5$ the members are $l_{13}=l_{34}=6m$ and $l_{23}=3m$

Consider the five member truss shown. The members of the truss have a common cross$-$sectional area, $9c{m}_6^2,$ and are made of the same material with elastic modulus, $E=20$ GPa. This truss is subjected to the following loading: $F_2=1kN,P_4=P_5=500N.P_4$ and $P_5$ are loaded at $x^{\text{'}}=\frac{l_{13}}{4},$ and $x^{\text{'}}=\frac{l_{34}}{4}$ respectively. The lengths of

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I Chapter $2$: Development of Plane Truss Equations

a$)$ List the active degrees of freedom of the system

b$)$ write the force to displacement relation for each element in the global coordinate

c$)$ Assemble the global equilibrium equation for the active degrees of freedom, directly

d$)$ Solve the resulting system of equations for the active degrees of freedom

e$)$ Find the strain in each member $($element$).$