Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Chapter 4, Problem 4.2P
A square column foundation has to carry a gross allowable load of 1805 kN (FS = 3). Given: Df = 1.5 m, γ =15.9 kN/m3, ϕ′ = 34°, and c′ = 0. Use Terzaghi’s equation to determine the size of the foundation (B). Assume general shear failure.
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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…
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The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3
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(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-
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Chapter 4 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 4 - For the following cases, determine the allowable...Ch. 4 - A square column foundation has to carry a gross...Ch. 4 - Prob. 4.3PCh. 4 - The applied load on a shallow square foundation...Ch. 4 - A column foundation (Figure P6.9) is 3 m × 2 m in...Ch. 4 - Prob. 4.6PCh. 4 - For the design of a shallow foundation, given the...Ch. 4 - An eccentrically loaded foundation is shown in...Ch. 4 - Prob. 4.9PCh. 4 - For an eccentrically loaded continuous foundation...
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