Chapter 1, Problem 30E

The plane truss shown in the figure has two elements and three nodes. Calculate the $4\times 4$ element stiffness matrices. Show the row addresses clearly. Derive the final equations (after aç1bin boundary conditions) for the truss in the form of $\left[K\right]\left\{Q\right\}=\left\{F\right\}$. What are nodal displacements and the element forces? Assume: $\text{E}=\text{1}{0}^{\text{11}}\text{Pa},\text{A}=\text{1}{0}^{\text{4}}{\text{m}}^{\text{2}},\text{L}=\text{l m, F}=\text{14},\text{142 N}$