Single Degree-of-Freedom Problem

  • Thread starter Thread starter aminbpy
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating the natural frequency and period of a single-bay single-storey frame with specific dimensions and properties. The frame is 3 m high and 8 m wide, with a beam mass of 5,000 kg and a stiffness of EIc = 4.5×103 kNm2. The calculated natural frequency is 4.502 Hz, and the period is 0.222 seconds. Additionally, a force of 100 kN is required to deflect the frame laterally by 25 mm.

PREREQUISITES
  • Understanding of structural dynamics and natural frequency calculations
  • Familiarity with stiffness (k) and mass (m) in mechanical systems
  • Knowledge of lateral deflection in structural frames
  • Proficiency in using formulas for vibration analysis, specifically ƒ=(1/2π)*(√(k/m))
NEXT STEPS
  • Research methods to derive stiffness (k) from given structural parameters
  • Explore advanced topics in structural dynamics, focusing on multi-degree-of-freedom systems
  • Learn about the implications of natural frequency on structural design and safety
  • Investigate software tools for simulating frame vibrations and analyzing dynamic responses
USEFUL FOR

Structural engineers, mechanical engineers, and students in engineering disciplines focusing on dynamics and vibration analysis will benefit from this discussion.

aminbpy
Messages
2
Reaction score
1
1.A 3 m high, 8 m wide single-bay single-storey frame is rigidly jointed with a
beam of mass 5,000 kg and columns of negligible mass and stiffness of EIc =
4.5×103 kNm2. Calculate the natural frequency in lateral vibration and its
period. Find the force required to deflect the frame 25 mm laterally.
Ans: 4.502 Hz; 0.222 sec; 100kn.



ƒ=(1/2π)*(√(k/m)

How can I get the k from given values.
 
  • Like
Likes   Reactions: Sir-me
Physics news on Phys.org
Hope you don't post any more exercises under this same name.
Welcome to PF and please use the template. If you don't understand why, read the guidelines.
 
I can imagine a zillion of ways to connect s-b s-f frames with a beam and unknown number of columns. What is it we are talking about ? Were you provided with a drawing of the thing ?
 

Similar threads

Single Degree-of-Freedom Systems
  • · Replies 1 ·
Replies
1
Views
3K
General procedure for finding stiffness in vibration problems
  • · Replies 1 ·
Replies
1
Views
2K
Solving the Tuning Fork Problem: Maximum Speed and Kinetic Energy
  • · Replies 5 ·
Replies
5
Views
7K
Graduate Does Mass Affect Vibration Response in Single Degree of Freedom Systems?
  • · Replies 1 ·
Replies
1
Views
5K
A bunch of MasteringPhysics problems that I don't understand
  • · Replies 2 ·
Replies
2
Views
14K