GATE CE 2018 Set 2 — Question 49
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Structural Engineering → Indeterminate Analysis & Influence Lines → Analysis of Beams
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Question
A prismatic beam P-Q-R of flexural rigidity kNm is subjected to a moment of 180 kNm at Q as shown in the figure.
The rotation at Q (in rad, up to two decimal places) is ______
Correct answer
0.01 to 0.01
Solution
The beam is fixed at P and R. When a moment is applied at joint Q, it is resisted by the stiffness of members PQ and QR.
Stiffness of member PQ ( m): .
Stiffness of member QR ( m): .
Total stiffness at joint Q: .
The rotation at Q is given by .
Given kNm,
rad.
Stiffness of member PQ ( m): .
Stiffness of member QR ( m): .
Total stiffness at joint Q: .
The rotation at Q is given by .
Given kNm,
rad.
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