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

AI Thread Summary
The discussion revolves around calculating the buckling load and failure mode for a column. The original poster is confused about determining the minimum length for buckling, the load at which failure occurs, and the failure mode for a shorter column. They initially calculated the length as 5.937 meters but questioned their methodology and results. Participants emphasize the importance of sharing relevant equations and calculations to clarify the problem-solving process. Accurate calculations and understanding of failure modes are crucial for resolving the issue effectively.
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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?
 

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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.
 
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Likes 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.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
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