Fundamentals of Building Construction
6th Edition
ISBN: 9781118138915
Author: Edward Allen
Publisher: WILEY
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Chapter 5, Problem 7RQ
To determine
Explain the different ways by which a typical building code should be taken into account for the fact of light framing of wood.
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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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