How Do You Calculate Buckling Load and Failure Mode in Columns?

Click For Summary
SUMMARY

The discussion focuses on calculating the buckling load and failure mode of columns, specifically addressing a scenario where a column's minimum length for buckling is determined to be 5.937 meters. The user expresses confusion regarding the load at which failure occurs and the mode of failure for a column of half that length. Key equations and methodologies for calculating buckling loads were requested to clarify the user's understanding and approach to the problem.

PREREQUISITES
  • Understanding of Euler's buckling theory
  • Familiarity with the concept of critical load in structural engineering
  • Knowledge of relevant equations for calculating buckling loads
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study Euler's buckling formula for columns
  • Learn how to calculate critical load using the formula P_cr = (π²EI)/(L²)
  • Research different failure modes of columns under various loading conditions
  • Explore the effects of column length on buckling behavior and load capacity
USEFUL FOR

Engineering students, structural engineers, and anyone involved in the design and analysis of columns in construction and mechanical applications.

HNCElec
Messages
2
Reaction score
1

Homework Statement


i am completely lost with this question. i need to work out:
a. what minimum length the column will buckle. b. what load the failure would occur. c. if column was half length what would be mode of failure and the load it would fail at. i would appreciate any help as i am getting really frustrated. thanks.

Homework Equations


upload_2018-6-22_15-3-47.png


The Attempt at a Solution


i have worked out the length which i got as 5.937m. not sure about the mode of failure. i guess its buckling though. and what load does it fail at i have no idea?
 

Attachments

  • upload_2018-6-22_15-3-47.png
    upload_2018-6-22_15-3-47.png
    13.2 KB · Views: 568
Last edited by a moderator:
Physics news on Phys.org
i think i worked out the length wrong i have used 118.741x0.05= 5.937 but shouldn't it be 118.741x0.5=59.37?
 
Can you post the Relevant Equations you used in your calculations? Also, your Profile shows you are in the EE degree track. Why are you in this ME class if I may ask? Nothing wrong with that, of course...

Posting the Relevant Equations in your schoolwork questions here is important, because it helps to show us where you are in your studies... Thanks.
 
  • Like
Likes   Reactions: jedishrfu and Bystander
Your first answer of 5.9 meters appears correct, but why do you think it is 59 m? As berkeman has noted, you need to post your relevant equations and methodology in arriving at solution.
 

Similar threads

Question 3B Part II: Buckling or Crushing? Joe Seeks an Explanation
  • · Replies 5 ·
Replies
5
Views
3K
Question involving Slenderness Ratio and E.S.R.
  • · Replies 4 ·
Replies
4
Views
2K
Slenderness ratio, mode of failure
  • · Replies 7 ·
Replies
7
Views
10K
Engineering How to Find the First Buckling Load from the Deflection Equation?
  • · Replies 3 ·
Replies
3
Views
2K
Buckling and column effective length question
  • · Replies 2 ·
Replies
2
Views
3K
Problem With Columns: Finding Load for Buckling
  • · Replies 5 ·
Replies
5
Views
2K
Column buckling answer confirmation
  • · Replies 47 ·
2
Replies
47
Views
27K
Calculating Minimum Column Length for Buckling: Stress and Variables
  • · Replies 10 ·
Replies
10
Views
3K
How Do You Calculate Geometric Buckling for Cylinders and Spheres?
  • · Replies 2 ·
Replies
2
Views
2K
Length of the column where buckling is likely to occur
  • · Replies 12 ·
Replies
12
Views
11K