A machine and its foundation weigh 140 kN. The spring constant and the damping ratio of the soil supporting the soil may be taken as 12 x 10+ kN/m and 0.2, respectively. Forced vibration of the foundation is caused by a force that can be expressed as Q (kN) = Qosinot Qo=46 kN, @= 157 rad/s Determine (a) the undamped natural frequency of the foundation, (b) amplitude of motion, and (c) maximum dynamic force transmitted to the subgrade.
A machine and its foundation weigh 140 kN. The spring constant and the damping ratio of the soil supporting the soil may be taken as 12 x 10+ kN/m and 0.2, respectively. Forced vibration of the foundation is caused by a force that can be expressed as Q (kN) = Qosinot Qo=46 kN, @= 157 rad/s Determine (a) the undamped natural frequency of the foundation, (b) amplitude of motion, and (c) maximum dynamic force transmitted to the subgrade.
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter18: Sheet-pile Walls
Section: Chapter Questions
Problem 18.17P
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