Question: Derive the equations for the beam element on an elastic foundation (Figure P4-49) using the principle of minimum potential energy. Here k f is the

Derive the equations for the beam element on an elastic foundation (Figure P4-49) using the principle of minimum potential energy. Here k f is the sub-grade spring constant per unit length. The potential energy of the beam is

Figure P4-49

Lkv2 EI(v") dx + xp- 2 wv dr w()

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