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(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
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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(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)
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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