Question

A column of length 8 m with both ends fixed may be considered as equivalent to a column of length ______________with both ends hinged.

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer:

B. 4

Given: $n_{1} = 4$ $L_{1} = 8 m$, $n_{2} = 1$ $L_{2} =?$

$P =\frac{n_{1} \pi ^ 2 EI}{L_{1} ^ 2} = \frac {n_ {2} \pi^ 2EI}{L_{2} ^ 2} \Rightarrow \frac{4}{ 8^ 2} = \frac{1}{ L_{2} ^ 2} \Rightarrow L_{2} =4m$