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
icon
Related questions
icon
Concept explainers
Question
100%

Solve it correctly.

8
Machine Foundations on Piles
Example: 38/1
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,
14
A
Transcribed Image Text:8 Machine Foundations on Piles Example: 38/1 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, 14 A
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
FEA for dynamic problems
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning