
Originally Posted by
Mark Kelly
Regarding your application of Euler's formulae:
This isn't a simply loaded column, the likely failure mode is shell buckling not column buckling as you have supposed.
The critical stress for shell buckling from Koiter's circle is given by t / R * E / sqrt(3(1-ν^2))
Taking ν as equal for steel and aluminium the stress is proportional to t /R * E. As you note E steel / E alu is about 2.9 but in the example you give t / R for alu is 2/27.2 = 0.074 and steel is .6 /28.6 = 0.021, the ratio is thus 3.5 so the steel post will have the lower critical stress. In the case of the tube you originally talked about using this is even worse as its t / R ratio is .38 / 28.6 = 0.013 so it's about half as strong as the alu.
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