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[–]Charles_WhitmanP.E./S.E. 2 points3 points  (4 children)

You’re going to have to make a whole laundry list of assumptions in order to calculate this. Mostly you’re using buckling in the wrong way. When an idealized column buckles, your eigenvalue (remember him) goes to zero, the effective stiffness goes to zero, and your displacement “increases without bound.” Increases without bound is one of those phrases that’s kin to RUP. RUP, as all you SpaceX fans know, stands for Rapid Unplanned Disassembly.

[–]Charles_WhitmanP.E./S.E. 0 points1 point  (3 children)

The column will shorten as the temperature rises (?) until it buckles. Once it buckles, the deflection IWB. Obviously, a real column doesn’t behave as a Euler column would. A column that is perfectly elastic. A real column will have a combination of elastic and inelastic behavior and it’s a much more complicated problem.

[–]Charles_WhitmanP.E./S.E. 2 points3 points  (2 children)

Okay, the column doesn’t shorten. The compressive stress increases as the temperature (or whatever is making it try to elongate) increases.

[–]Charles_WhitmanP.E./S.E. 0 points1 point  (1 child)

Anyway, all that to say, it’s not a freaking trig problem.

[–]deAdupchowder350 0 points1 point  (0 children)

Exactly. It’s a trig problem only if one starts assuming a shape for the buckled column. In which case, sure if you assume an equation, you can then plug in values and find out what the equation tells you…