GATE CE 2014 Set 2 — Question 43
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Structural Engineering → Indeterminate Analysis & Influence Lines → Analysis of Frames
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Question
Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is
Correct answer
(C) 176
Solution
Due to symmetry, the central joint P does not rotate. We can analyze half of the frame by considering P as a fixed support.1. Stiffnesses ():
- Beam (half-span , ):
- Column (height , ):
- Initial moment in beam =
- Balancing moment =
- Carry-over to P =
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