Question: Consider a fixed-fixed uniform beam resting on an elastic foundation, with a foundation modulus (k mathrm{~N} / mathrm{m}). a. Derive the equation of motion of

Consider a fixed-fixed uniform beam resting on an elastic foundation, with a foundation modulus \(k \mathrm{~N} / \mathrm{m}\).

a. Derive the equation of motion of the beam when the applied distributed load is \(p\) per unit length.

b. Find the natural frequencies of vibration of the beam.

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