- #1
Jayohtwo
- 10
- 1
Homework Statement
Hi guys (first post here let me know if I can fix anything that I've done wrong),
I'm struggling a little with the second part of this question and seem to be going round in circles
A column has the dimensions shown in the diagram below.
(a) What is the minimum length of the column at which buckling is
likely to occur?
(b) If the column is the length determined in (a),
(i) What will be the mode of failure?
(ii) At what load would you expect failure to occur?
(c) If the column is half the length determined in (a) :
(i) What will be the mode of failure?
(ii) At what load would you expect failure to occur?
Homework Equations
A = 8.796x10-3 m2
I = 2.199x10-5 m4
K = 0.05 (least value of radius of gyration)
Slenderness ratio (using length not effective length unsure if this is correct) = 237.4
The Attempt at a Solution
Part a: I have determined the effective length to be 5.94m as the column is fixed at both ends and Le=L/2
Part b: Here's where my google skills fall short and I'm not sure how to determine what failure mode. I've also calculated the effective slenderness ratio using ESR = √(π2E)/(σ) = 118.74.
As this is less then the slenderness ratio does this mean that the failure mode is crushing?
Part c: Will be straightforward enough to solve when I can figure ou how to do part b
Thanks in advance!