Chapter 1, Problem 28E

In the finite element model of a plane truss in problem 21, the lengths of elements 1 and 2 are 1 m and $\sqrt{2}\text{ m}$, respectively. The axial rigidity of the elements is $\text{EA }=\text{1}{0}^{\text{7}}\text{N}$.

a. Fill in the connectivity information of your choice

b. Write down the clement stiffness matrix $\left[k^{(2)}\right]$ of element 2 with DOFs.

c. Show where $\left[k^{(2)}\right]$ will be placed in the structural stiffness matrix $\left[K_s\right]$.

d. The displacements are calculated as: $u_1=+5\text{mm,}$ $v_1=-5\sqrt{2}\text{mm}$. Use your connectivity information to calculate the element force Pin element 2.