Project ForgeStrength of Materials
Bending of Beams
GATE 2019
Medium
A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI=200 N·m² is subjected to an applied moment MA=1.0 N·m at the free end. The magnitude of the vertical deflection of the free end is ___ mm (round off to one decimal place).
2.5 mm(± 0.1 accepted)
Explanation
For a cantilever with a pure moment M applied at the free end, the free-end deflection is δ=ML²/(2EI)=(1.0)(1.0)²/(2×200)=1/400=0.0025 m=2.5 mm.
Source: GATE ME 2019 Session 2 (Set 3) (2019)
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