EBK RESIDENTIAL CONSTRUCTION ACADEMY: H
5th Edition
ISBN: 9781337672030
Author: FLETCHER
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 4, Problem 14RQ
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EBK RESIDENTIAL CONSTRUCTION ACADEMY: H
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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_forwardAssume 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 Hzarrow_forwardA study of the ability of individuals to walk in a straight line reported the accompanying data on cadence (strides per second) for a sample of n = 20 randomly selected healthy men. 0.95 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.05 0.93 1.06 1.08 0.96 0.81 0.96 A normal probability plot gives substantial support to the assumption that the population distribution of cadence is approximately normal. A descriptive summary of the data from Minitab follows. Variable cadence Variable N Mean 20 cadence 0.9260 Min 0.7800 Median 0.9300 Max 1.0800 TrMean 0.9256 Q1 0.8500 StDev 0.0832 Q3 0.9600 SEMean 0.0186 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) strides per second Interpret this interval. ○ with 95% confidence, the value of the true mean cadence of all such men falls inside the confidence interval. With 95% confidence, the value of the true mean cadence of all such men falls above the…arrow_forward
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