GATE ME 2019 Set 2 — Question 47
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A horizontal cantilever beam of circular cross-section, length and flexural rigidity is subjected to an applied moment 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).
Correct answer
2.4 to 2.6
Solution
For a cantilever beam of length and flexural rigidity subjected to a concentrated moment at the free end, the vertical deflection at the free end is given by:Given:
Substituting the values:Thus, the magnitude of the vertical deflection is .
Substituting the values:Thus, the magnitude of the vertical deflection is .
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