Theory of elastic stability - Critical axial force value

In summary, the conversation is about solving a problem using the energy method. The problem involves finding the critical axial force (P) that a beam can absorb when a single force (Q) is applied on the edge of the cantilever. The answer is in Euler form and the person is looking for suggestions on how to approach the problem. The person also mentions that they have the beam properties and there are safety factors to consider. They assume that Q is applied perpendicular to the beam and ask for the other person to show their attempt at solving the problem.
  • #1
re_ili
1
0
https://dl.dropbox.com/u/73421703/b1.jpg hi there , I'm asking for help with this one! I should solve that problam through energy method.
Given single force Q(not shown in the picture) on the edge of the cantilever(the right-end of the beam), what I'm looking for - The critical P(axial force) that beam can absorb. the answer is in Euler form.

any suggestions would help!

p.s
sorry for the poor english.
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
You must be given the beam properties. Then it's fa/Fa + fb/Fb = 1. With appropriate safety factors. I assume Q is applied perpendicular to beam. Please show attempt.
 

Related to Theory of elastic stability - Critical axial force value

1. What is the Theory of Elastic Stability?

The Theory of Elastic Stability, also known as the buckling theory, is a branch of mechanics that studies the behavior of slender structures under compressive loads. It predicts the critical axial force value at which a structure will buckle or fail due to instability.

2. How is the critical axial force value determined?

The critical axial force value is determined by applying the principles of equilibrium and compatibility to a structure’s geometry and loading conditions. It involves calculating the elastic stiffness and critical load of the structure, as well as considering factors such as material properties and boundary conditions.

3. What types of structures can be analyzed using the Theory of Elastic Stability?

The Theory of Elastic Stability can be applied to a wide range of structures, including columns, beams, frames, and shells. It is particularly useful for slender structures with high slenderness ratios, such as long columns and thin-walled tubes.

4. How does the Theory of Elastic Stability differ from the Theory of Plasticity?

The Theory of Elastic Stability deals with the behavior of structures under elastic deformation, meaning they can return to their original shape once the load is removed. In contrast, the Theory of Plasticity considers the behavior of structures beyond their elastic limit, where permanent deformation occurs.

5. What are some practical applications of the Theory of Elastic Stability?

The Theory of Elastic Stability is important in the design and analysis of various structural systems, such as buildings, bridges, and aerospace structures. It also plays a crucial role in the development of new materials and in understanding the stability of biological structures, such as DNA molecules.

Similar threads

Calculating Axial Stress in a Concrete-Encased Steel Column
    • Introductory Physics Homework Help
Replies
14
Views
10K
Matlab Programming for Shear Force & Bending Moment Diagrams of a Beam
    • Engineering and Comp Sci Homework Help
Replies
1
Views
12K
Need help with more indepth beam theory?
    • Mechanical Engineering
Replies
1
Views
937
Cantilever Beam Failure: Help?
    • General Engineering
Replies
3
Views
4K
MATLAB Solving a Cantilever Beam Problem with MATLAB
    • MATLAB, Maple, Mathematica, LaTeX
Replies
5
Views
17K
A Could the 3D percolation model explain Regge-Trajectories?
    • High Energy, Nuclear, Particle Physics
Replies
4
Views
2K
Can Strain Gauges Accurately Measure Force and Torque in a 2D Beam Experiment?
    • Mechanical Engineering
Replies
6
Views
2K
An axial force between neutrinos.
    • Other Physics Topics
Replies
6
Views
10K
Shaft Critical Speed Considerations
    • Mechanical Engineering
Replies
12
Views
9K
A MOND Theory Primer: Stacy McGaugh's Research Program Explored
    • Beyond the Standard Models
Replies
11
Views
2K

Hot Threads

Recent Insights

Back
Top