Question

The slenderness ratio of a circular column of diameter 300 mm and effective height 3 m is \(\underline{\hspace{2cm}}\).

Hint:

Slenderness ratio indicates the susceptibility of a column to buckling. It's calculated by dividing the effective height by the radius of gyration.

Answer 1

Correct Answer: 40

Slenderness ratio formula: \[ \text{Slenderness Ratio} = \frac{L}{r} \] Where \(L = 3\ \text{m}\), and radius \(r = \frac{300}{2} = 150\ \text{mm} = 0.15\ \text{m}\). Thus: \[ \text{Slenderness Ratio} = \frac{3}{0.15} = 20 \] \[ \boxed{20} \]