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 Il 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, El (where, E and / respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and PH Figure-l W W Hinge Y Figure-II Which one of the following relationships is true and 0max1 0max2 maximum rotation be 8 max1 and e max1 respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be 8 %23 (a) 8max1 + Ömax2 (b) 8max1 =8max2 and 0max1 # 0max 2 max2 %3D and e max2 respectively. (c) 8maxt # 8mav2 and 0maxt = 0mar2 (d) 8maxt = max2 and 0maxt = 0max2 %3D

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 Il 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, El (where, E and / respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and PH Figure-l W W Hinge Y Figure-II Which one of the following relationships is true and 0max1 0max2 maximum rotation be 8 max1 and e max1 respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be 8 %23 (a) 8max1 + Ömax2 (b) 8max1 =8max2 and 0max1 # 0max 2 max2 %3D and e max2 respectively. (c) 8maxt # 8mav2 and 0maxt = 0mar2 (d) 8maxt = max2 and 0maxt = 0max2 %3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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