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A rectangular element as shown in the figure is used to represent a pure bending problem. Due to the bending moment M, the element is deformed as shown in the figure with displacement {d} = {u1, v1, U2, V2, U3, V3, U4, V4} = {−1, 0, 1, 0, -1, 0, 1, 037. (a) Derive expressions of strain component Exx, Ɛyy, and xy, as functions of x and y based on the shape functions. (b) Does the element satisfy pure bending condition? Explain your answer. y M | A UA Из 4 (0,2) 3 (3,2) 1 (0,0) 2 (3,0) x B 12 UI

A rectangular element as shown in the figure is used to represent a pure bending problem. Due to the bending moment M, the element is deformed as shown in the figure with displacement {d} = {u1, v1, U2, V2, U3, V3, U4, V4} = {−1, 0, 1, 0, -1, 0, 1, 037. (a) Derive expressions of strain component Exx, Ɛyy, and xy, as functions of x and y based on the shape functions. (b) Does the element satisfy pure bending condition? Explain your answer. y M | A UA Из 4 (0,2) 3 (3,2) 1 (0,0) 2 (3,0) x B 12 UI

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 rectangular element as shown in the figure is used to represent a pure bending problem. Due to the bending moment M, the element is deformed as shown in the figure with displacement {d} = {u1, v1, U2, V2, U3, V3, U4, V4} = {−1, 0, 1, 0, -1, 0, 1, 037. (a) Derive expressions of strain component Exx, Ɛyy, and xy, as functions of x and y based on the shape functions. (b) Does the element satisfy pure bending condition? Explain your answer. y M | A UA Из 4 (0,2) 3 (3,2) 1 (0,0) 2 (3,0) x B 12 UI
Transcribed Image Text:A rectangular element as shown in the figure is used to represent a pure bending problem. Due to the bending moment M, the element is deformed as shown in the figure with displacement {d} = {u1, v1, U2, V2, U3, V3, U4, V4} = {−1, 0, 1, 0, -1, 0, 1, 037. (a) Derive expressions of strain component Exx, Ɛyy, and xy, as functions of x and y based on the shape functions. (b) Does the element satisfy pure bending condition? Explain your answer. y M | A UA Из 4 (0,2) 3 (3,2) 1 (0,0) 2 (3,0) x B 12 UI
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