Problem $4$: Hinges $($often called pin and hanger assemblies$)$ were often put in indeterminate

structures prior to widespread use of more powerful calculation methods to make them easier to

analyze. Note that the hinge makes this three span structure determinate and can now be solved

with only the equations of equilibrium. Determine the reactions of the two span structure for $L=$

$15ft,P=10$ kips and $w=1ki\frac{p}{f}t.$ Hint: breaking up the problem into two beams using free body

diagrams may help.

Examples of pin and hanger assemblies:

Beam schematic to be solved: