The problem statement states,

A simply supported beam having a concentrated weight at its midspan is shown below.

Assume: Mass of beam negligible in comparison to mass of concentrated weight and neglect effects of damping.

Determine equation of motion, natural circular frequency, period, and natural frequency

Let W = 10 kips,

I = 200 in^4,

E = 29,000 ksi,

L = 20′

Abdul Siraj, P.E.