1. For the bar fixed at both ends and subjected to the
uniformly distributed loading shown in Figure P3–56, determine the displacement
at the middle of the bar and the stress in the bar. Let A = 2 in
2
and E = 30 10
6
psi.
2. For the bar hanging under its own weight shown in Figure
P3–57, determine the nodal displacements using (a) two equal-length elements
and (b) four equal-length elements. Let A = 2 in
2
, E = 30 10
6
psi, and weight density p
w
= 0:283 lb/in
3
. (Hint: The
internal force is a function of x. Use the potential energy approach.)
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