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

Determine the ratio of strenghts of a solid steel column to that a hollow column of the same material and having the same cross sectional area. The internal diameter of the hollow column is 1/2 of its external diameter. Both the columns are same length and are pinned at their both ends

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

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.

## Answer this Question

## Related Questions

- solid mechanics - Find the Euler's crippling load for a hollow cylindrical steel...
- solid mechanics - A hollow cylindrical steel tube of 3.8 cm external dia & 2.5 ...
- Engineering - Steel column is 80 feet tall. Column is a W 14 x 730(wide-flange ...
- physics - A hollow steel shaft has an external diameter of 120 mm and is 10 mm ...
- chemistry - Reaction 1: I2(aq)Cu^+2(aq) Ag^+(aq)Br2(aq) Column 1---Column 2---...
- Chemistry - Hi, I have a question on column length for HPLC (high performance ...
- physics - Each vertical steel column of an office building supports a weight of ...
- Physics matter and its properties - A circular metal column is to support a load...
- Physics - Water has a density of 1000kg/m^3. The depth of a swimming pool at the...
- physics - Object I is a solid cylinder with diameter d has resistance R. What ...