1. The shape function for the two dimensional rectangular element in Figure 1 are: N₁ N3 1 4ab 1 4 4ab a -(x-a)(y-b) -(x + a)(y+b) L._ Figure 1 N₂ N₁ a = 1 4ab 1 3 2 4ab b X -(x + a)(y-b) b -(x − a)(y+b) Determine [J], [J], and the [B] matrix for the rectangular element for plane elasticity
1. The shape function for the two dimensional rectangular element in Figure 1 are: N₁ N3 1 4ab 1 4 4ab a -(x-a)(y-b) -(x + a)(y+b) L._ Figure 1 N₂ N₁ a = 1 4ab 1 3 2 4ab b X -(x + a)(y-b) b -(x − a)(y+b) Determine [J], [J], and the [B] matrix for the rectangular element for plane elasticity
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. The shape function for the two dimensional rectangular element in Figure 1 are:
N₁
N3
=
=
1
4ab
1
4ab
4
a
Figure 1
-(x− a)(y-b)
y
(x + a)(y+b)
N₂
N4
a
=
==
4ab
1
3
4ab
b
X
b
(x+ a)(y−b)
-(x − a)(y+b)
Determine [J], [J], and the [B] matrix for the rectangular element for plane elasticity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94b9f824-1602-4b40-a724-d6c51e546fb8%2Ff58bd10d-32f6-476f-9332-085d9faf678b%2Fnbudmc_processed.png&w=3840&q=75)
Transcribed Image Text:1. The shape function for the two dimensional rectangular element in Figure 1 are:
N₁
N3
=
=
1
4ab
1
4ab
4
a
Figure 1
-(x− a)(y-b)
y
(x + a)(y+b)
N₂
N4
a
=
==
4ab
1
3
4ab
b
X
b
(x+ a)(y−b)
-(x − a)(y+b)
Determine [J], [J], and the [B] matrix for the rectangular element for plane elasticity.
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