STRUCTURAL ANALYSIS (LL)
STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Chapter 7, Problem 65P
To determine

Find the vertical deflection at joint C of the frame using Castigliano’s second theorem.

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For the system shown in Figure 2, u(t) and y(t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = yocos(2πft). Figure 2: Single-degree-of-freedom system in Problem 2. Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (20 points) (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (10 points
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