GATE ME 2014 Set 3 — Question 45
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A force is applied at a distance from the end of the beam as shown in the figure. What would be the value of so that the displacement at ‘A’ is equal to zero?
Correct answer
(C) 0.33L
Solution
The displacement at point A is the sum of the deflection of the main beam and the effect of the rotation at the end of the beam. For the displacement at A to be zero, the downward deflection due to the force must be balanced by the upward effect of the moment created by at distance . In this specific frame configuration, the condition for zero displacement at A is .
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