Project ForgeStrength of Materials
Bending of Beams
GATE 2011
Medium
A column has a rectangular cross-section of 10 mm × 20 mm and a length of 1 m. The slenderness ratio of the column is close to
- A200
- 346
- C477
- D1000
Explanation
The weakest-axis (minimum) moment of inertia governs: Imin=(20×10³)/12=1666.67mm⁴ (using the 10mm side as the bending-direction dimension). A=10×20=200mm². kmin=√(Imin/A)=√(1666.67/200)=2.887mm. Slenderness ratio=L/kmin=1000/2.887≈346.
Source: GATE ME 2011 (2011)
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