Consider the simply supported beam shown in Fig. (1. The beam supports a concentrated weight W = 30x10° N at midspan, and its natural circular frequency is w= 25 rad / s . If the
midspan of the beam is displaced from its static equilibrium position through a distance
Xo = 0.05m, determine:
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a. The natural period T and the natural frequency fof vibration of the beam
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b. The stiffness k of the beam
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c. The vibration response x(t) of the beam due to the initial transverse
displacement xo (the initial velocity is Vo = 0)
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d. The maximum midspan velocity and midspan acceleration of the beam