Question

A horizontal cantilever beam of circular crosssection, 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 (round off to one decimal place).

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Answer :

When the cantilever beam is subjected to moment at the free end, then the deflection at the free end is given by

                    y(free end) = ML 2/2EI


So, y(free end) = 1 × 12/ (2× 200) = 2.5 × 10-3m = 2.5 mm

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