GATE CE 2018 Set 2 — Question 17
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Question
A vertical load of acts on a hinge located at a distance of from the roller support of a beam of length (see figure).
The vertical reaction at support is
Correct answer
(A) 0.0 kN
Solution
To find the vertical reaction at support , we can consider the equilibrium of the segment of the beam to the right of the internal hinge (from the hinge to ).For an internal hinge, the bending moment must be zero. Let be the vertical reaction at . Taking moments about the hinge for the right-hand segment:The load acts exactly at the hinge, so its moment arm about the hinge is zero and it does not contribute to the moment equation for the segment. Thus, the vertical reaction at is .
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