GATE ME 2015 Set 2 — Question 53
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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 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young's modulus of elasticity of the material of the beam is 210 GPa. The magnitude of slope (in radian) at Q (20 mm from the fixed end) is ________

Correct answer
0.15 to 0.17
Solution
Given:
Load
Length
Distance from fixed end
Side of square cross-section
Young's modulus
Moment of inertia 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:
Load
Length
Distance from fixed end
Side of square cross-section
Young's modulus
Moment of inertia 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:
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