Consider the two-storey shear frame shown in the figure. h EI h2EI The following characteristics are provided: Mass matrix m = m ( Stiffness matrix: k = - 365 (7) 3 -1 The natural frequencies: w = 4.464 The natural mode shapes: = {2}, m 2m El mh31 EI 2EI U2 $2 = {}} U W = 5.928 EI mh The peak response of the two-storey shear frame to a horizontal ground motion characterised by the design spectrum shown in the figure which is scaled to 0.7g peak ground acceleration. Pseudo-acceleration Ag N 1 1 In Te Assume, m = 2 x 105 kg. Tp Natural vibration period T. [sec] E = 210 x 108 N m You are required to: a) Determine the influence vector. OSTSTR A-4 (1-15). TaTTe A-9-25/ To To T To A=y-257 b) Find the peak pseudo accelerations Asp,1 and Asp.2. 1 = 4 x 10-4 m, Te-0.10 To=3.0s c) Determine the peak modal accelerations A and A. h = 5m d) Calculate the peak lateral displacements of the frame, u,max and uz max- e) Find the shear forces at both floors of the frame using the SRSS combination rule. f) Determine the bending moments at both floors of the frame using the SRSS combination rule.