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 as Y) are shown in the figures I and II respectively. The spans of PQ and XZ and 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 Figure - I Hinge Y Figure - II 8 and 0, respectively, in the case max! max1 of beam PQ and the corresponding quantities for the beam XZ be 82 and Which one of the following relationship is true? Omax 2 , respectively. (A) 8 and 0 maxI max 2 max! max 2 (В) 6. = 8 and 0, max! max 2 max max 2 (C) 8m # 8ma 2 and 0m = 0 max! max 2 (D) 8 %3D max 2 and 0max = 0 max1 max 2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 as Y) are shown in the
figures I and II respectively. The spans
of PQ and XZ and 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
Figure - I
Hinge Y
Figure - II
8 and 0, respectively, in the case
max!
max1
of beam PQ and the corresponding
quantities for the beam XZ be 82 and
Which one of the following relationship
is true?
O
max 2 » respectively.
and 0max #0
max !
max 2
max 2
(В) 6.
= 8
and 0,
maxI
max 2
max
max 2
(C) 8m # 8max 2 and 0ma = 0
max 2
(D) 8
%3D
max 2
and 0maxi
= 0
max 2
max!
Transcribed Image Text: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 as Y) are shown in the figures I and II respectively. The spans of PQ and XZ and 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 Figure - I Hinge Y Figure - II 8 and 0, respectively, in the case max! max1 of beam PQ and the corresponding quantities for the beam XZ be 82 and Which one of the following relationship is true? O max 2 » respectively. and 0max #0 max ! max 2 max 2 (В) 6. = 8 and 0, maxI max 2 max max 2 (C) 8m # 8max 2 and 0ma = 0 max 2 (D) 8 %3D max 2 and 0maxi = 0 max 2 max!
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