Problem 11.8: Consider the ("transition") element shown in Fig. P11.8. Define the...

Problem 11.8: Consider the ("transition") element shown in Fig. P11.8. Define the generalized displacement vector of the element by

and represent the displacement components

where is the interpolation function for the beam, and are the interpolation functions for nodes 2 and 3:

Derive the stiffness matrix for the element.