There is a maximum height of a uniform vertical column made of any material that can support itself without buckling, and it is independent of the cross-sectional area (why?). Calculate this height for (a) steel (density ), and (b) granite (density 2.7 X 103 kg/m3).

Step-by-step solution

Step 1 of 4 </p>

Density of steel and granite are given.

Compressive strength of steel=500x106N/m2

Compressive strength of granite=170x106N/m2

Step 2 of 4</p>

The maximum stress of the column is because of it weight and exerts to the bottom of the column. If the stress is bigger then compressive strength of the material , the column collapse.

The maximum height is independent of the area. How thick the column is not important.