Answer Happy

4. Consider the system shown where a cantilever beam of mass m, is attached to the center of a simply supported beam of mass my. Lengths, Young's moduli, and area moments of inertia are specified for each beam on the figure. 1. E, a. Determine the equivalent spring constant, keq, of the full structure with respect to the center of the simply supported beam). Note that each structural element can be simplified as a spring with an equivalent spring constant, and then the two springs h. Er h would have to set in parallel or series as appropriate. b. Determine the equivalent mass, men of the structure (with respect to displacement of the center of the simply supported beam). You may use the equivalent mass of the simply supported beam calculated in class. Follow a similar process to find the equivalent mass of the cantilever beam. c. Determine the natural frequency, wn, of the structure, i.e., n = keg ma