Problem $6$

Consider the four member truss shown. The members of the truss have a common cross$-$sectional area, $10c{m}^2,$ and are made of the same material with elastic modulus, $E=110$ GPa $.$ This truss is subjected to the following loading

$F_{x2}=500N,F_{y2}=500N$

$q_3=1k\frac{N}{m}$

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$).$