GATE ME 2014 Set 4 — Question 46
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A frame is subjected to a load as shown in the figure. The frame has a constant flexural rigidity . The effect of axial load is neglected. The deflection at point due to the applied load is
Correct answer
(D) (4)/(3) (PL³)/(EI)
Solution
The total deflection at point is the sum of the deflection of the horizontal member and the deflection due to the rotation of the vertical member.
Rotation at the joint,
1.Deflection of horizontal member (cantilever beam of length with load ):
2.Rotation of the vertical member at the joint:
The load at creates a constant bending moment throughout the vertical member.Rotation at the joint,
3.Deflection at due to this rotation:
Total deflection:Continue learning with Success Tracker
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