17. The truss structure shown in the figure supports the force F. FEM is used to analyze this struc¬

ture using two truss elements as shown. Area of cross-section (for all elements) — A = 2 in2, Young's modulus = E = 30 x 106 psi. Both the elements are of equal length L = 10 ft.

(a) Compute the transformation matrix for Elements 1 and 2 to transform between the global coordinate system and the local coordinate system for each element.

(b) Compute the stiffness matrix for the Elements 1 and 2.

(c) Assemble the structural matrix equation [KV]{QS} = {F.,} (without applying the boundary conditions).

(d) It is determined after solving the final equations that the displacement components of the node 1 are u\ = 1.5 x 10~2 in, vj = ~0.5 x 10~2 in. Compute the applied load F.

(e) Compute stress and strain in Element 1.