(a) Figure Q4(a). The structural members each has a cross sectional area A, elastic modulus E, shear modulus G, moment of inertia / and polar moment of inertia J. B L. 45 3d Figure Q4(a)
(a) Figure Q4(a). The structural members each has a cross sectional area A, elastic modulus E, shear modulus G, moment of inertia / and polar moment of inertia J. B L. 45 3d Figure Q4(a)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![(a) Calculate the total elastic strain energy stored in the material of the pin-jointed structure shown in
Figure Q4(a). The structural members cach has a cross sectional area A, elastic modulus E, shear
modulus G, moment of inertia I and polar moment of inertia J.
B
L.
A
45
30
Figure Q4(a)
(b) An elastic structure with flexural stiffness El is pinned at A and fitted with a roller at end C, as
illustrated in Figure Q4(b). The structure carries a uniformly distributed load w (force per unit
length) on member AB.
(i)
Determine the reaction at the roller support C, in terms of w and R.
Using Castigliano's energy theorem, determine the horizontal displacement of end C of
the structure. Consider bending effecis only.
R
Figure Q4(b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F118d665f-25cf-403f-b172-b4eba61eec38%2Ffce056a4-302b-48ed-8e87-95b9c64b7062%2Fwij273h_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Calculate the total elastic strain energy stored in the material of the pin-jointed structure shown in
Figure Q4(a). The structural members cach has a cross sectional area A, elastic modulus E, shear
modulus G, moment of inertia I and polar moment of inertia J.
B
L.
A
45
30
Figure Q4(a)
(b) An elastic structure with flexural stiffness El is pinned at A and fitted with a roller at end C, as
illustrated in Figure Q4(b). The structure carries a uniformly distributed load w (force per unit
length) on member AB.
(i)
Determine the reaction at the roller support C, in terms of w and R.
Using Castigliano's energy theorem, determine the horizontal displacement of end C of
the structure. Consider bending effecis only.
R
Figure Q4(b)
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