Q4: A three-bay shear frame building, shown in Figure 04 (i), is subjected to a periodic force (Figure 04 (ii)). The outer steel columns are constructed from 533210122 universal column about the major axis and the inner steel columns are from the 53321082 UC. If F0 = 500 kN, E = 210 GPa, = 0.2, Tp = 3 seconds and = 10 rad/sec then: a) Evaluate the Fourier series expansion of the forcing function shown in Figure 04 (ii) for the first three non-zero terms and plot the result over the time interval 0 < t < 10 sec. b) Evaluate the steady-state displacement response of the structure shown in Figure 04 (i) and plot displacement versus time the same time intervals.