For the bar problem shown, determine the displacement (node 1, 2 and 3) and stress (element 1
and 2). Here the bar is fixed at node 1, width and thickness of the bar 2 in and 0.125 in respectively
and E = 10.4×106 psi.
i. Solve this problem using Exact/Analytical Method.
ii. Solve this problem using Finite Element Formulation (Hand Calculation)
iii. Compare your solution using the above two methods.
5.0 in.
5.0 in.
Element-1
Element-2
1000 lb
$u_1$
1000 lb
$u_2$
$u_3$
The stiffness matrix for any Element is given by
$[K]^{(i)} = \begin{bmatrix} k_i & -k_i \\ -k_i & k_i \end{bmatrix}$
$k_i = \frac{A_i E_i}{L_i}$