GATE ME 2015 Set 2 — Question 43
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A cantilever beam with square cross-section of side is subjected to a load of normal to the top surface as shown in the figure. The Young's modulus of elasticity of the material of the beam is . The magnitude of slope (in radian) at ( from the fixed end) is ________
Correct answer
0.15 to 0.17
Solution
Given:
Side of square cross-section,
Load, at the free end
Young's modulus,
Length of beam,
Distance of point from fixed end, Moment of inertia for square cross-section:
The slope at a distance from the fixed end for a cantilever beam with a point load at the free end is given by:Substituting the values:The range provided is to .
Side of square cross-section,
Load, at the free end
Young's modulus,
Length of beam,
Distance of point from fixed end, Moment of inertia for square cross-section:
The slope at a distance from the fixed end for a cantilever beam with a point load at the free end is given by:Substituting the values:The range provided is to .
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