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
icon
Related questions
Question
100%
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
maximum rotation be 8 max1 and 0 max1
PK
L
Figure-l
W
Hinge
Y
1-
L
Figure-Il
Which one of the following relationships is true
respectively, in the case of beam PQ and the
corresponding quantities for the beam XZ be 8
(a) 8max1 + 8max2 and 0max1 0max2
max2
(b) Smax1 = 8max2 and 0max1 0max2
%3D
and 0
max2 respectively.
(c) 8maxt # 8max2 and 0man = 0mar
'max2
(d) 8maxi = 8max2 and 0maxi = 0mar2
%3D
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 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 maximum rotation be 8 max1 and 0 max1 PK L Figure-l W Hinge Y 1- L Figure-Il Which one of the following relationships is true respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be 8 (a) 8max1 + 8max2 and 0max1 0max2 max2 (b) Smax1 = 8max2 and 0max1 0max2 %3D and 0 max2 respectively. (c) 8maxt # 8max2 and 0man = 0mar 'max2 (d) 8maxi = 8max2 and 0maxi = 0mar2 %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Beams and frames
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning