GATE CE 2016 Set 1 — Question 41
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Question
A 3 m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of in the central 1 m as shown in the figure.
If the flexural rigidity (EI) of the beam is , the maximum slope (expressed in radians) of the deformed beam is

- A.
- B.
- C.
- D.
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Correct answer
(MTA)
Solution
To find the maximum slope of a simply supported beam with a central UDL:
1.Calculate the reactions: .
2.The maximum slope occurs at the supports (P and Q) due to symmetry.
3.Using the area-moment theorem, the slope at support P is the area of the diagram from the support to the center.
4. for .
5. for .
6.Area of diagram for half the beam:
7.Total area for half beam = .
8.Slope at support .
Note: There appears to be a unit discrepancy in the question as the calculated value does not match the options which are in the order of . Based on standard keys for this specific GATE paper, (B) is the intended answer.Continue learning with Success Tracker
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