Question # $3$:

For the bar assemblages shown in Figure $3,$ a point load $P=10,000lb$ is acting at node $3$ in the

positive X$-$dir. Nodes $2$ and $3$ are attached to a linear spring with stiffness $k=5000l\frac{b}{i}n.$ Use

both the finite element formulation $($hand calculations$)$ and the commercial software Sap $2000$ to

find the displacement at nodes $2$ and $3.$ Determine the force in each element and the reactions.

$E-15{10}^6$

$A=3i{n}^2$

$k=5000l\frac{b}{i}n$

Figure $3$