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March 2, 2015

March 2, 2015

Posted by **rakesh** on Wednesday, August 8, 2012 at 6:43pm.

- Solid Mechanics -
**MathMate**, Wednesday, August 8, 2012 at 10:30pmHints:

Axial stress is the same because the same load is distributed over the same area.

However, buckling strength is widely different.

Calculate the ratio of the area moments of inertia, and compare buckling their strengths using Euler's buckling formula:

F=π²2EI/(KL)²

where E,I are Young's modulus, I=area moment of inertia, K=end condition constant, equals 1 when pinned, and L=length of columns.

See also for more explanation on buckling:

http://en.wikipedia.org/wiki/Buckling

or other textbooks on strength of materials.

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