Consider the two-storey shear frame shown in the figure. h EI h2EI The following characteristics are...

  

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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 (³₁7) 3 -1 • The natural frequencies: w₁ = 4.464 • The natural mode shapes: ₁ = {2}, m 2m El mh31 EI 2EI U2 $2 = {¹}} U₂ W₂ = 5.928 EI mh³ 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 m² 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 m², Te-0.10 To=3.0s c) Determine the peak modal accelerations A₁ and A₂. h = 5m d) Calculate the peak lateral displacements of the frame, u₁,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. 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 (³₁7) 3 -1 • The natural frequencies: w₁ = 4.464 • The natural mode shapes: ₁ = {2}, m 2m El mh31 EI 2EI U2 $2 = {¹}} U₂ W₂ = 5.928 EI mh³ 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 m² 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 m², Te-0.10 To=3.0s c) Determine the peak modal accelerations A₁ and A₂. h = 5m d) Calculate the peak lateral displacements of the frame, u₁,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.

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Given m 2105 kg E 210109 Nm2 I 4104 m4 h 5 m a Influence vector ... View the full answer