GATE CE 2016 Set 1 | GATE CE Year Wise Previous Years Questions

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

Two beams $$PQ$$ (fixed at $$P$$ and with a roller support at $$Q,$$ as shown in Figure $$I,$$ which allows vertical movement) and $$XZ$$ (with a hinge at $$Y$$) are shown in the Figures $$I$$ and $$II$$ respectively. The spans of $$PQ$$ and $$XZ$$ are L and $$2L$$ respectively. Both the beams are under the action of uniformly distributed load $$(W)$$ and have the same flexural stiffness, $$EI$$ (where, $$E$$ and $$I$$ respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be $${\delta _{\max 1}}$$ and $${\theta _{\max 1}},$$ respectively, in the case of beam $$PQ$$ and the corresponding quantities for the beam $$XZ$$ be $${\delta _{\max 2}}$$ and $${\theta _{\max 2}},$$ respectively. GATE CE 2016 Set 1 Structural Analysis - Slope Deflection Method Question 3 English 1

GATE CE 2016 Set 1 Structural Analysis - Slope Deflection Method Question 3 English 1

GATE CE 2016 Set 1 Structural Analysis - Slope Deflection Method Question 3 English 2

Which one of the following relationships is true?

$${\delta _{\max 1}} \ne {\delta _{\max 2}}$$ and $${\theta _{\max 1}} \ne {\theta _{\max 2}}$$

$${\delta _{\max 1}} = {\delta _{\max 2}}$$ and $${\theta _{\max 1}} \ne {\theta _{\max 2}}$$

$${\delta _{\max 1}} \ne {\delta _{\max 2}}$$ and $${\theta _{\max 1}} = {\theta _{\max 2}}$$

$${\delta _{\max 1}} = {\delta _{\max 2}}$$ and $${\theta _{\max 1}} = {\theta _{\max 2}}$$

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2024