Find Euler’s crippling load for a hollow cylindrical column of 80 mm external diameter and 10 mm thick. Both ends of the column are fixed and length of column is 5.5 m. Take Es=2x10^5 N/mm^2. Also determine Rankine’s crippling load for the same column. Take fc=350 MPa and Rankine’s constant α= 1/7500.

Data: L = 5.5 m = 5500 mm.

External dia. (do) = 80 mm

Thickness t = 10 mm

Both ends of the column are fixed.

$Es = 2 \times 10^5 \ N/mm^2$

Fc = 350 Mpa

Rankine constant $\alpha$ = 1/7500

To Find:

[1] Euler’s crippling load.

[2] Rankine’s …