GATE ME 2021 Set 2 — Question 63
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A cantilever beam with a uniform flexural rigidity () is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is . The magnitude of the slope of the beam at its free end is __________ micro radian (round off to the nearest integer).
Correct answer
48 to 52
Solution
According to Mohr's First Theorem, the change in slope between two points on a beam is equal to the area of the diagram between those two points.For a cantilever beam fixed at one end (where slope is zero) and loaded at the free end:
Given:
Area of BMD,
.
Given:
Area of BMD,
.
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