GATE ME 2016 Set 1 — Question 19
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A cantilever beam having square cross-section of side is subjected to an end load. If is increased by 19%, the tip deflection decreases approximately by
Correct answer
(D) 50%
Solution
The tip deflection of a cantilever beam with an end load is given by:
For a square cross-section of side , the area moment of inertia .
Thus,
This shows that .
If is increased by 19%, the new side .
The new deflection is:
The percentage decrease in deflection is:
Approximately 50%.
For a square cross-section of side , the area moment of inertia .
Thus,
This shows that .
If is increased by 19%, the new side .
The new deflection is:
The percentage decrease in deflection is:
Approximately 50%.
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