For the bar hanging under its own weight shown in figure

Question

For the bar hanging under its own weight shown in Figure, determine the nodal displacements using (a) two equal-length elements and (b) four equal-length elements. Let A = 2 in², E = 30 10⁶ psi, and weight density rw = 0:283 lb/in³.

(Hint: The internal force is a function of x. Use the potential energy approach.)