Structural Analysis, Si Edition (mindtap Course List)
6th Edition
ISBN: 9781337630948
Author: KASSIMALI, Aslam
Publisher: Cengage Learning
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Chapter 6, Problem 41P
To determine
Find the slope θB&θC and deflection ΔB&ΔC at point B and C of the given beam using the conjugate-beam method.
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The single degree of freedom (SDOF) system the acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time histories. Compare the recorded acceleration time history at the roof of the SDOF with the acceleration that you computed…
Problem 2 (Using force method)
Determine the force in each member of the truss. E = 29000 ksi
3 k
1.5 in²
4 ft
1.5 in²
1.5 in²
2 in²
6 k
D
1.5 in²
3 ft
2 in²
B
The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3
- Laboratory Component has been subjected to a strong ground motion. The acceleration at the base
(excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling
rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns
of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second
column lists the acceleration at the roof of the SDOF system.
(a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system.
(b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system
subjected to the recorded base acceleration using the Central Difference method. Plot the accel-
eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the
inertia force time…
Chapter 6 Solutions
Structural Analysis, Si Edition (mindtap Course List)
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60P
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