Find the Euler’s crippling load for the hollow cylindrical column of 50 mm external diameter and 5 mm thick. Both ends of column are hinged and length of column is 2.5 m. Take E=2x10^5 MPa. Also determine Rankine’s crippling load for the same column. Take fc= 350 MPa and α=1/7500.

For hollow cylindrical column:

do = 50 mm

t = 5 mm

$t = \frac{do \ - \ di}{2}$ $\rightarrow$ $di = do - 2t$

$di = 50 - 2 \times 5$

$di = 40 \ mm$

Both ends of column is hinged.

Length of column = 2.5 m.

$Es …