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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff471b5e3-8a2c-4790-af09-318a1b74119c%2F467d534e-54d4-449f-bc77-2f1dcb12b6a2%2Fu5h9c1p_processed.jpeg&w=3840&q=75)
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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