Two bars are connected as shown in the figure. Assume all joints are frictionless pin joints. At node 2, a vertical spring is connected as shown. Both bars are of length \(L\) and have the same properties: Young's modulus \(=E\) and area of cross section \(=A\). The spring stiffness \(=k\).

a. Set up the stiffness matrices for the two truss elements and the spring element.

b. Assemble the stiffness matrices to form the global stiffness matrix.

c. Compute the deflections at node 2, if a force \(\mathbf{F}=\left\{F_{x}, F_{y}ight\}^{\mathrm{T}}\) is applied at node 2.

Transcribed Image Text:

3 (1) E2 X 30 El E3 2