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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.

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