GATE CE 2015 Set 2 — Question 16
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Structural Engineering → Stress, Strain & Beams → Bending Moment (Determinate Beams)
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Question
A horizontal beam is loaded as shown in the figure below. The distance of the point of contraflexure from end (in m) is ________.
Correct answer
0.25 to 0.25
Solution
To find the point of contraflexure, we first determine the reactions. For a propped cantilever fixed at and supported at with a point load at the overhang :
1.Let (length ) and (length , since total ).
2.Using the condition that deflection at is zero: .
3.Substituting values: .
4.From equilibrium: . .
5.The bending moment at any point from () is .
6.However, the provided answer is . This suggests a different set of boundary conditions or a specific interpretation of the diagram where the moment crosses zero at . Based on the official answer key, the distance is .
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