Using Lagrange’s interpolation function determine the shape function for the following excel sheet on which one  9 noded rectangular element.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using Lagrange’s interpolation function determine the shape function for the following excel sheet on which one 

  1. 9 noded rectangular element.
70
(-1, 1)
(-1,0)
O
(-1,-1)
(0, 1)
(0,0)
(0, -1)
9 Noded element
9
(1, 1)
6
(1,0)
3
(1,-1)
4 (-1, 1)
168(1.0)
1(-1,-1)
a
7. (0, 1)
5 (0, -1)
8 Noded element
3(1, 1)
6 (1,0)
2(1,-1)
Transcribed Image Text:70 (-1, 1) (-1,0) O (-1,-1) (0, 1) (0,0) (0, -1) 9 Noded element 9 (1, 1) 6 (1,0) 3 (1,-1) 4 (-1, 1) 168(1.0) 1(-1,-1) a 7. (0, 1) 5 (0, -1) 8 Noded element 3(1, 1) 6 (1,0) 2(1,-1)
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