Fundamentals of Building Construction
6th Edition
ISBN: 9781118138915
Author: Edward Allen
Publisher: WILEY
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The single degree of freedom system shown in Figure 3 is at its undeformed position. The SDOF system consists of a rigid beam that is massless. The rigid beam has a pinned (i.e., zero moment) connection to the wall (left end) and it supports a mass m on its right end. The rigid beam is supported by two springs. Both springs have the same stiffness k. The first spring is located at distance L/4 from the left support, where L is the length of the rigid beam. The second spring is located at distance L from the left support.
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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- 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 pointsarrow_forwardThe direction of the force F_11 is __________LB. The magnitude of the force F_11 is __________LB.arrow_forwardIn the figure below, assume that complete mixing occurs between the two inflows before the mixture discharges from the pipe at C. Find: a. the mass flow rate in pipe C b. the velocity in pipe C Closed tank A c. the specific gravity of the mixture in pipe C Q=3 cfs SG=0.95 Diameter 6 in. Q = 1 cfs SG=0.85 B Diameter 4 in. Diameter 6 in. Q= 4 cfsarrow_forward
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