## Question:

Strength of materials tells us that if a load P is applied at the free end of a cantilevered beam, then the tip displacement $\delta$ is given by $\delta =P{ L }^{ 3 }/(3E{ I }_{ cs })$, where L is the length of the beam and E and ${ I }_{ cs }$ are constants that depend on the material makeup and the geometry of the cross section, respectively. Determine an expression for the potential energy of a cantilevered beam loaded as shown.