?? ex5_9.out
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Example 5.9 (Corner nodes: linear elements)
Input
Number of Boundary Elements = 20
Number of InteriorPoints = 3
Coordinates of the Extreme Points of the Boundary Elements
Point X Y
1 10.0200 0.0000
2 15.0000 0.0000
3 20.0000 0.0000
4 25.0000 0.0000
5 29.9800 0.0000
6 29.9930 0.6280
7 27.7160 11.4800
8 21.2130 21.2130
9 11.4800 27.7160
10 0.6280 29.9930
11 0.0000 29.9800
12 0.0000 25.0000
13 0.0000 20.0000
14 0.0000 15.0000
15 0.0000 10.0200
16 0.2090 9.9970
17 3.8260 9.2380
18 7.0710 7.0710
19 9.2380 3.8260
20 9.9970 0.2090
Boundary Conditions
First Node Second Node
Prescribed Prescribed
Element CODE Value CODE Value
1 1 0.0000 1 0.0000
2 1 0.0000 1 0.0000
3 1 0.0000 1 0.0000
4 1 0.0000 1 0.0000
5 1 0.0000 0 400.0000
6 0 400.0000 0 400.0000
7 0 400.0000 0 400.0000
8 0 400.0000 0 400.0000
9 0 400.0000 0 400.0000
10 0 400.0000 1 0.0000
11 1 0.0000 1 0.0000
12 1 0.0000 1 0.0000
13 1 0.0000 1 0.0000
14 1 0.0000 1 0.0000
15 1 0.0000 0 1000.0000
16 0 1000.0000 0 1000.0000
17 0 1000.0000 0 1000.0000
18 0 1000.0000 0 1000.0000
19 0 1000.0000 0 1000.0000
20 0 1000.0000 1 0.0000
Interior Point Coordinates
Xi Yi
18.4770 7.6530
14.1420 14.1420
7.6530 18.4770
Solution:
Boundary Nodes
(X,Y) u Prenodal q Postnodal q
( 10.0200, 0.0000) 994.2385 0.0000 0.0000
( 15.0000, 0.0000) 775.7902 0.0000 0.0000
( 20.0000, 0.0000) 617.7277 0.0000 0.0000
( 25.0000, 0.0000) 495.1684 0.0000 0.0000
( 29.9800, 0.0000) 404.1536 0.0000 0.0000
( 29.9930, 0.6280) 400.0000 -20.6881 -20.6881
( 27.7160, 11.4800) 400.0000 -17.7511 -17.7511
( 21.2130, 21.2130) 400.0000 -18.4223 -18.4223
( 11.4800, 27.7160) 400.0000 -17.7511 -17.7511
( 0.6280, 29.9930) 400.0000 -20.6881 -20.6881
( 0.0000, 29.9800) 404.1536 0.0000 0.0000
( 0.0000, 25.0000) 495.1683 0.0000 0.0000
( 0.0000, 20.0000) 617.7277 0.0000 0.0000
( 0.0000, 15.0000) 775.7900 0.0000 0.0000
( 0.0000, 10.0200) 994.2382 0.0000 0.0000
( 0.2090, 9.9970) 1000.0000 61.6049 61.6049
( 3.8260, 9.2380) 1000.0000 53.1925 53.1925
( 7.0710, 7.0710) 1000.0000 55.4601 55.4601
( 9.2380, 3.8260) 1000.0000 53.1924 53.1924
( 9.9970, 0.2090) 1000.0000 61.6050 61.6050
Interior Points
(Xi,Yi) u q_x q_y
( 18.4770, 7.6530) 618.6967 -25.3328 -10.5420
( 14.1420, 14.1420) 618.4972 -19.3454 -19.3454
( 7.6530, 18.4770) 618.6967 -10.5420 -25.3328
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