GATE CE 2015 Set 2 — Question 26
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Structural Engineering → Indeterminate Analysis & Influence Lines → Analysis of 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
The beam is a propped cantilever fixed at and supported at . Using the method of superposition or deflection compatibility, the reaction at () is calculated. For a cantilever of length with a point load at the end and a support at distance from the fixed end, the reaction is found by equating the downward deflection at due to with the upward deflection due to : . Here m, m, and kN.
kN (upwards).
The bending moment from () is .
From equilibrium: kN (downwards) and kNm.
.
Setting for the point of contraflexure: m from end .
kN (upwards).
The bending moment from () is .
From equilibrium: kN (downwards) and kNm.
.
Setting for the point of contraflexure: m from end .
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