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

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

Q. 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 as shown in the figure. The magnitude of the vertical deflection of the free end is____mm

Ans: 2.4 – 2.6

Sol:

Given A horizontal cantilever beam of circular cross – section with length (L) = 1.0 m & EI (Flexural rigidity) = 200 N.m2. Moment applied MA = 1.0 N.m To find δ in (mm) at end

⇒ δ = 2.5 × 10-3 m = 2.5 mm.

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