Question: The foundation of the building in Problem undergoes the horizontal motion y(t) = yo sin wt. Derive the system response.
Problem: The one-story structure shown in Fig. can be modeled in the first approximation as a single-degree-of-freedom system by regarding the columns as massless beams clamped at both ends and the roof as a rigid slab. Derive the equation for the horizontal translation of the slab and determine the natural frequency. The mass of the slab is denoted by M and the flexural rigidity of the columns by EI.
