Architectural Drafting and Design (MindTap Course List)
7th Edition
ISBN: 9781285165738
Author: Alan Jefferis, David A. Madsen, David P. Madsen
Publisher: Cengage Learning
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Chapter 28, Problem 28.5Q
To determine
The function of let-in brace and sheathing.
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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
Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz
Chapter 28 Solutions
Architectural Drafting and Design (MindTap Course List)
Ch. 28 - Prob. 28.1QCh. 28 - Prob. 28.2QCh. 28 - Prob. 28.3QCh. 28 - Prob. 28.4QCh. 28 - Prob. 28.5QCh. 28 - Prob. 28.6QCh. 28 - Prob. 28.7QCh. 28 - Prob. 28.8QCh. 28 - Prob. 28.9QCh. 28 - Prob. 28.10Q
Ch. 28 - Prob. 28.11QCh. 28 - Prob. 28.12QCh. 28 - Prob. 28.13QCh. 28 - Prob. 28.14QCh. 28 - Prob. 28.16QCh. 28 - Prob. 28.17QCh. 28 - Prob. 28.18QCh. 28 - Prob. 28.19QCh. 28 - Prob. 28.20QCh. 28 - Prob. 28.21QCh. 28 - Prob. 28.24QCh. 28 - Prob. 28.25QCh. 28 - Prob. 28.26QCh. 28 - Prob. 28.27QCh. 28 - Prob. 28.28QCh. 28 - Prob. 28.29QCh. 28 - Prob. 28.30QCh. 28 - Prob. 28.32QCh. 28 - Prob. 28.33QCh. 28 - Prob. 28.34QCh. 28 - Prob. 28.35QCh. 28 - Prob. 28.37QCh. 28 - Prob. 28.38QCh. 28 - Prob. 28.39Q
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