The frame shown in Figure Q2 has rigid floors and can be considered as a shear...

  

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The frame shown in Figure Q2 has rigid floors and can be considered as a "shear frame". The masses are lumped onto the floor slabs as shown in the Figure. Determine (i) the structure stiffness matrix (ii) the structure mass matrix and (iii) the natural periods of vibration and the associated mode shapes for this structure. The mode shapes should be plotted with respect to a vertical axis. Assume El/mL³ = 2. L EI El 28/08 0.8m m El 1.8EI 0.8m m ΕΙ 1.6EI m El 3080880 The frame shown in Figure Q2 has rigid floors and can be considered as a "shear frame". The masses are lumped onto the floor slabs as shown in the Figure. Determine (i) the structure stiffness matrix (ii) the structure mass matrix and (iii) the natural periods of vibration and the associated mode shapes for this structure. The mode shapes should be plotted with respect to a vertical axis. Assume El/mL³ = 2. L EI El 28/08 0.8m m El 1.8EI 0.8m m ΕΙ 1.6EI m El 3080880

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Analyzing the Shear Frame This problem requires analyzing a shear frame with rigid floors and lumped masses to determine its Structure stiffness matri... View the full answer