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Speadsheet for 2-Dimensional Linear Elastic Problem
1. Purpose
This spreadsheet analyzes 2-dimensional linear elastic problems using Pronciple
2. Modelling
Modelling concept is same as finite element analysis.
The element types available in this speadsheet are Rod element, Trianglar eleme
3. Limitation
Number of Grids: 110 If you modify the spreadsheet, this limitation will be
Number of Elements: No limitation
Material Property: Orthotropic Materials
Element Types: Rod with 2 end points, "ROD"
Traiangular element with 3 grid points, "TRIA3"
Quadrilateral element with 4 grid points, "QUAD4"
Spring elements, "SPRING"
4. Instruction
4.1 Modelling
Modelling method is same as common finite element analysis.
(1) Grid Data
Define grid points.Input grid point coordinates (global coordinate system) in worksheet "grid_data".
(2) Element Data
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(2) Element Data
Put zeros "0" in "Displacement" columns in worksheet "grid_data".
Fill pink color to the "Displacement" columns with constraint.
(4) External Forces
Input external force data in "External Forces" columns (J and K) of worksheet "gri
4.2 Performing Analysis
Prepare "Solver". You need to add-in "Solver".
Select "Solver" in "Tool" fuction in worksheet "grid_data".
Set parameter columns for optomization in"Solver" setup. The columns are filled iExecute "Solver".
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Prepared by Toshimi Taki 5-May-07
f Minimum Potential Energy.
t, Quadrilateral element, and Spring element.
eliminated.
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_data".
pink color in Section 4.1 (3).
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2-Dimensional Linear Elastic Problem Grid Points and Result
Title: Truss -- Figure A2.22, Bruhn, p.A2.11Potential Energy by External Loa 212.8673
Total Strain Energy: 106.4337
Total Potential energy: -106.434
Grid No.
x y u v x' y' x
1 0 0 0 0 0 0 1
2 30 20 0.025213 -0.05422 30.02521264 19.94577578
3 30 0 0.0078 -0.05562 30.0078 -0.055624224
4 60 30 0.0244 -0.07392 60.02439951 29.92607921
5 60 0 0.0162 -0.07362 60.0162 -0.07362079
6 90 30 0.0175 -0.07407 90.0174995 29.92592823
7 90 0 0.0243 -0.07407 90.0243 -0.074071771
8 120 20 0.015415 -0.05503 120.0154155 19.94497431
9 120 0 0.0324 -0.05663 120.0324 -0.056625694
10 150 0 0.0396 0 150.0396 0
11
12
13
14
1516
17
18
Data
Instruction
Coordinates of Grid ConsCoordinates of Grid after
DeformationDisplacement
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34
35
36
37
38
39
40
41
42
4344
45
46
47
48
49
5051
52
53
54
55
56
5758
59
60
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75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
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5-May-07 by Toshimi Taki
Columns you need to input data
Target Column for "Solver"
Parameter Columns for "Solver". You need to change.
Potential Energy
by External Load
y x y Px Py
1 0 -500.0 1400.0
0 0.0 0.0
-500 27.81211195 0.0 -500.0
-1000 73.92079033 0.0 -1000.0
0 0.0 0.0
500 -1000 82.82152441 500.0 -1000.0
0 0.0 0.0
0 0.0 0.0
-500 28.31284711 0.0 -500.0
1 0 0.0 1600.0
traint External Forces and Reactions
(Output)
External Forces
(Input)
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Magnification of
Displacement: 50
x' y'
0 0
31.26063182 17.28878886
30.38999988 -2.781211195
61.21997533 26.30396048
60.80999993 -3.681039516
90.87497519 26.29641138
91.21499979 -3.703588554
120.7707726 17.24871531
121.6199999 -2.831284711
151.98 0
Data for Figure
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2-Dimensional Linear Elastic Problem Rod Elements on
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32 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0 0
44 0 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0 0
46 0 0 0 0 0 0 0 0
47 0 0 0 0 0 0 0 0
48 0 0 0 0 0 0 0 0
49 0 0 0 0 0 0 0 0
50 0 0 0 0 0 0 0 0
51 0 0 0 0 0 0 0 0
52 0 0 0 0 0 0 0 0
53 0 0 0 0 0 0 0 0
54 0 0 0 0 0 0 0 0
55 0 0 0 0 0 0 0 0
56 0 0 0 0 0 0 0 0
57 0 0 0 0 0 0 0 0
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73 0 0 0 0 0 0 0 0
74 0 0 0 0 0 0 0 0
75 0 0 0 0 0 0 0 0
76 0 0 0 0 0 0 0 0
77 0 0 0 0 0 0 0 0
78 0 0 0 0 0 0 0 0
79 0 0 0 0 0 0 0 0
80 0 0 0 0 0 0 0 0
81 0 0 0 0 0 0 0 0
82 0 0 0 0 0 0 0 0
83 0 0 0 0 0 0 0 0
84 0 0 0 0 0 0 0 0
85 0 0 0 0 0 0 0 0
86 0 0 0 0 0 0 0 0
87 0 0 0 0 0 0 0 0
88 0 0 0 0 0 0 0 0
89 0 0 0 0 0 0 0 0
90 0 0 0 0 0 0 0 0
91 0 0 0 0 0 0 0 0
92 0 0 0 0 0 0 0 0
93 0 0 0 0 0 0 0 0
94 0 0 0 0 0 0 0 0
95 0 0 0 0 0 0 0 0
96 0 0 0 0 0 0 0 0
97 0 0 0 0 0 0 0 0
98 0 0 0 0 0 0 0 0
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use Rod elements, put "on" in this column. If you don't use Rod elements, put "off" in
Total Strain Energy
Type of Elemet
Element No.
Grid No.
x y Px Py Cross Section Area
0 0 -500.0 1400.0 Young's Modulus
0 0 0.0 0.0 Direction of Element Coordinates
0 -500 0.0 -500.0 Strain Energy
0 -1000 0.0 -1000.0 Grid Coorinates
0 0 0.0 0.0 - Global Coordinate System
500 -1000 500.0 -1000.0
0 0 0.0 0.0
0 0 0.0 0.0 Length of Rod
0 -500 0.0 -500.0 Grid Coorinates after Deformation
0 0 0.0 1600.0 - Global Coordinate System
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0 Center of Element
0 0 0.0 0.0 - Global Coordinate System
0 0 0.0 0.0 Stress - 1->2 Direction
0 0 0.0 0.0 Grid Point Force
0 0 0 0 0 0 - Element Coordinate System
External Forces and
Reactions
External Forces
(Input)
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0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
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0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
0 0 0.0 0.0
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Grid Point Force, y-direction
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Direction Cosine 1-->2
Grid Point Coordinates - Element Coordinate System
Displacement of Grid
- Element Coordinate System
Element Stiffness Matrix
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n=2
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this column,
106.434
ROD ROD ROD ROD ROD ROD ROD
1 2 3 4 5 6 7
1 1 1 2 2 3 3 4
2 2 3 3 4 4 5 5
A 1 1 1 1 1 1 1
E 1E+07 1E+07 1E+07 1E+07 1E+07 1E+07 1E+07
phi (deg) 33.6901 0 -90 18.4349 45 0 -90
U 11.4837 10.14 0.49 7.74759 0.16971 11.76 0.015
x1 0 0 30 30 30 30 60
y1 0 0 20 20 0 0 30
x2 30 30 30 60 60 60 60
y2 20 0 0 30 30 0 0
L 36.0555 30 20 31.6228 42.4264 30 30
x1' 0 0 30.0252 30.0252 30.0078 30.0078 60.0244
y1' 0 0 19.9458 19.9458 -0.0556 -0.0556 29.9261
x2' 30.0252 30.0078 30.0078 60.0244 60.0244 60.0162 60.0162
y2' 19.9458 -0.0556 -0.0556 29.9261 29.9261 -0.0736 -0.0736
x0 15 15 30 45 45 45 60
y0 10 0 10 25 15 0 15
f1 -2523.9 2600 700.001 -2213.6 -282.84 2800 -100
Fe 11 2523.89 -2600 -700 2213.6 282.843 -2800 100
12 0 0 0 0 0 0 0
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9 0.0 0.0 0.0 0.0 0.0 0.0 0.0
10 0.0 0.0 0.0 0.0 0.0 0.0 0.0
11 0.0 0.0 0.0 0.0 0.0 0.0 0.012 0.0 0.0 0.0 0.0 0.0 0.0 0.0
13 0.0 0.0 0.0 0.0 0.0 0.0 0.0
14 0.0 0.0 0.0 0.0 0.0 0.0 0.0
15 0.0 0.0 0.0 0.0 0.0 0.0 0.0
16 0.0 0.0 0.0 0.0 0.0 0.0 0.0
17 0.0 0.0 0.0 0.0 0.0 0.0 0.0
18 0.0 0.0 0.0 0.0 0.0 0.0 0.019 0.0 0.0 0.0 0.0 0.0 0.0 0.0
20 0.0 0.0 0.0 0.0 0.0 0.0 0.0
21 0.0 0.0 0.0 0.0 0.0 0.0 0.0
22 0.0 0.0 0.0 0.0 0.0 0.0 0.0
23 0.0 0.0 0.0 0.0 0.0 0.0 0.0
24 0.0 0.0 0.0 0.0 0.0 0.0 0.0
25 0.0 0.0 0.0 0.0 0.0 0.0 0.026 0.0 0.0 0.0 0.0 0.0 0.0 0.0
27 0.0 0.0 0.0 0.0 0.0 0.0 0.0
28 0.0 0.0 0.0 0.0 0.0 0.0 0.0
29 0.0 0.0 0.0 0.0 0.0 0.0 0.0
30 0.0 0.0 0.0 0.0 0.0 0.0 0.0
31 0.0 0.0 0.0 0.0 0.0 0.0 0.0
32 0.0 0.0 0.0 0.0 0.0 0.0 0.033 0.0 0.0 0.0 0.0 0.0 0.0 0.0
34 0.0 0.0 0.0 0.0 0.0 0.0 0.0
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50 0.0 0.0 0.0 0.0 0.0 0.0 0.0
51 0.0 0.0 0.0 0.0 0.0 0.0 0.0
52 0.0 0.0 0.0 0.0 0.0 0.0 0.053 0.0 0.0 0.0 0.0 0.0 0.0 0.0
54 0.0 0.0 0.0 0.0 0.0 0.0 0.0
55 0.0 0.0 0.0 0.0 0.0 0.0 0.0
56 0.0 0.0 0.0 0.0 0.0 0.0 0.0
57 0.0 0.0 0.0 0.0 0.0 0.0 0.0
58 0.0 0.0 0.0 0.0 0.0 0.0 0.0
59 0.0 0.0 0.0 0.0 0.0 0.0 0.060 0.0 0.0 0.0 0.0 0.0 0.0 0.0
61 0.0 0.0 0.0 0.0 0.0 0.0 0.0
62 0.0 0.0 0.0 0.0 0.0 0.0 0.0
63 0.0 0.0 0.0 0.0 0.0 0.0 0.0
64 0.0 0.0 0.0 0.0 0.0 0.0 0.0
65 0.0 0.0 0.0 0.0 0.0 0.0 0.0
66 0.0 0.0 0.0 0.0 0.0 0.0 0.067 0.0 0.0 0.0 0.0 0.0 0.0 0.0
68 0.0 0.0 0.0 0.0 0.0 0.0 0.0
69 0.0 0.0 0.0 0.0 0.0 0.0 0.0
70 0.0 0.0 0.0 0.0 0.0 0.0 0.0
71 0.0 0.0 0.0 0.0 0.0 0.0 0.0
72 0.0 0.0 0.0 0.0 0.0 0.0 0.0
73 0.0 0.0 0.0 0.0 0.0 0.0 0.074 0.0 0.0 0.0 0.0 0.0 0.0 0.0
75 0.0 0.0 0.0 0.0 0.0 0.0 0.0
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91 0.0 0.0 0.0 0.0 0.0 0.0 0.0
92 0.0 0.0 0.0 0.0 0.0 0.0 0.0
93 0.0 0.0 0.0 0.0 0.0 0.0 0.094 0.0 0.0 0.0 0.0 0.0 0.0 0.0
95 0.0 0.0 0.0 0.0 0.0 0.0 0.0
96 0.0 0.0 0.0 0.0 0.0 0.0 0.0
97 0.0 0.0 0.0 0.0 0.0 0.0 0.0
98 0.0 0.0 0.0 0.0 0.0 0.0 0.0
99 0.0 0.0 0.0 0.0 0.0 0.0 0.0
100 0.0 0.0 0.0 0.0 0.0 0.0 0.0101 0.0 0.0 0.0 0.0 0.0 0.0 0.0
102 0.0 0.0 0.0 0.0 0.0 0.0 0.0
103 0.0 0.0 0.0 0.0 0.0 0.0 0.0
104 0.0 0.0 0.0 0.0 0.0 0.0 0.0
105 0.0 0.0 0.0 0.0 0.0 0.0 0.0
106 0.0 0.0 0.0 0.0 0.0 0.0 0.0
107 0.0 0.0 0.0 0.0 0.0 0.0 0.0108 0.0 0.0 0.0 0.0 0.0 0.0 0.0
109 0.0 0.0 0.0 0.0 0.0 0.0 0.0
110 0.0 0.0 0.0 0.0 0.0 0.0 0.0
1 1400.0 0.0 0.0 0.0 0.0 0.0 0.0
2 -1400.0 0.0 700.0 700.0 0.0 0.0 0.0
3 0.0 0.0 -700.0 0.0 200.0 0.0 0.0
4 0.0 0.0 0.0 -700.0 -200.0 0.0 -100.05 0.0 0.0 0.0 0.0 0.0 0.0 100.0
6 0.0 0.0 0.0 0.0 0.0 0.0 0.0
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22 0.0 0.0 0.0 0.0 0.0 0.0 0.0
23 0.0 0.0 0.0 0.0 0.0 0.0 0.0
24 0.0 0.0 0.0 0.0 0.0 0.0 0.025 0.0 0.0 0.0 0.0 0.0 0.0 0.0
26 0.0 0.0 0.0 0.0 0.0 0.0 0.0
27 0.0 0.0 0.0 0.0 0.0 0.0 0.0
28 0.0 0.0 0.0 0.0 0.0 0.0 0.0
29 0.0 0.0 0.0 0.0 0.0 0.0 0.0
30 0.0 0.0 0.0 0.0 0.0 0.0 0.0
31 0.0 0.0 0.0 0.0 0.0 0.0 0.032 0.0 0.0 0.0 0.0 0.0 0.0 0.0
33 0.0 0.0 0.0 0.0 0.0 0.0 0.0
34 0.0 0.0 0.0 0.0 0.0 0.0 0.0
35 0.0 0.0 0.0 0.0 0.0 0.0 0.0
36 0.0 0.0 0.0 0.0 0.0 0.0 0.0
37 0.0 0.0 0.0 0.0 0.0 0.0 0.0
38 0.0 0.0 0.0 0.0 0.0 0.0 0.039 0.0 0.0 0.0 0.0 0.0 0.0 0.0
40 0.0 0.0 0.0 0.0 0.0 0.0 0.0
41 0.0 0.0 0.0 0.0 0.0 0.0 0.0
42 0.0 0.0 0.0 0.0 0.0 0.0 0.0
43 0.0 0.0 0.0 0.0 0.0 0.0 0.0
44 0.0 0.0 0.0 0.0 0.0 0.0 0.0
45 0.0 0.0 0.0 0.0 0.0 0.0 0.046 0.0 0.0 0.0 0.0 0.0 0.0 0.0
47 0.0 0.0 0.0 0.0 0.0 0.0 0.0
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63 0.0 0.0 0.0 0.0 0.0 0.0 0.0
64 0.0 0.0 0.0 0.0 0.0 0.0 0.0
65 0.0 0.0 0.0 0.0 0.0 0.0 0.066 0.0 0.0 0.0 0.0 0.0 0.0 0.0
67 0.0 0.0 0.0 0.0 0.0 0.0 0.0
68 0.0 0.0 0.0 0.0 0.0 0.0 0.0
69 0.0 0.0 0.0 0.0 0.0 0.0 0.0
70 0.0 0.0 0.0 0.0 0.0 0.0 0.0
71 0.0 0.0 0.0 0.0 0.0 0.0 0.0
72 0.0 0.0 0.0 0.0 0.0 0.0 0.073 0.0 0.0 0.0 0.0 0.0 0.0 0.0
74 0.0 0.0 0.0 0.0 0.0 0.0 0.0
75 0.0 0.0 0.0 0.0 0.0 0.0 0.0
76 0.0 0.0 0.0 0.0 0.0 0.0 0.0
77 0.0 0.0 0.0 0.0 0.0 0.0 0.0
78 0.0 0.0 0.0 0.0 0.0 0.0 0.0
79 0.0 0.0 0.0 0.0 0.0 0.0 0.080 0.0 0.0 0.0 0.0 0.0 0.0 0.0
81 0.0 0.0 0.0 0.0 0.0 0.0 0.0
82 0.0 0.0 0.0 0.0 0.0 0.0 0.0
83 0.0 0.0 0.0 0.0 0.0 0.0 0.0
84 0.0 0.0 0.0 0.0 0.0 0.0 0.0
85 0.0 0.0 0.0 0.0 0.0 0.0 0.0
86 0.0 0.0 0.0 0.0 0.0 0.0 0.087 0.0 0.0 0.0 0.0 0.0 0.0 0.0
88 0.0 0.0 0.0 0.0 0.0 0.0 0.0
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104 0.0 0.0 0.0 0.0 0.0 0.0 0.0
105 0.0 0.0 0.0 0.0 0.0 0.0 0.0
106 0.0 0.0 0.0 0.0 0.0 0.0 0.0107 0.0 0.0 0.0 0.0 0.0 0.0 0.0
108 0.0 0.0 0.0 0.0 0.0 0.0 0.0
109 0.0 0.0 0.0 0.0 0.0 0.0 0.0
110 0.0 0.0 0.0 0.0 0.0 0.0 0.0
m 0.83205 1 0 0.94868 0.70711 1 0
n 0.5547 0 -1 0.31623 0.70711 0 -1
xe1 0 0 0 0 0 0 0ye1 0 0 0 0 0 0 0
xe2 36.0555 30 20 31.6228 42.4264 30 30
ye2 0 0 0 0 0 0 0
xe1' 0 0 0.05422 0.00677 -0.0338 0.0078 0.07392
ye1' 0 0 0.02521 -0.0594 -0.0448 -0.0556 0.0244
xe2' 36.0464 30.0078 20.0556 31.6225 42.3914 30.0162 30.0736
ye2' -0.0591 -0.0556 0.0078 -0.0778 -0.0695 -0.0736 0.0162u1 0 0 0.05422 0.00677 -0.0338 0.0078 0.07392
v1 0 0 0.02521 -0.0594 -0.0448 -0.0556 0.0244
u2 -0.0091 0.0078 0.05562 -0.0002 -0.035 0.0162 0.07362
v2 -0.0591 -0.0556 0.0078 -0.0778 -0.0695 -0.0736 0.0162
[K]_e 11 277350 333333 500000 316228 235702 333333 333333
12 0 0 0 0 0 0 0
13 -277350 -333333 -500000 -316228 -235702 -333333 -33333314 0 0 0 0 0 0 0
21 0 0 0 0 0 0 0
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J
J-1
det[J]
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dN4/dy
[B]
[D][B]
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1
2
3
4
J
J-1
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dN1/dy
dN2/dy
dN3/dydN4/dy
[B]
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ROD
17
9
10
1
1E+07
0
8.64
120
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30
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150.04
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135
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2 Dimensional Linear Elastic Problem Triangular Elements off
Grid No.
x y u v x' y' x
1 0 0 0 0 0 0 1
2 30 20 0.02521 -0.0542 30.02521264 19.94577578 0
3 30 0 0.0078 -0.0556 30.0078 -0.05562422 0
4 60 30 0.0244 -0.0739 60.02439951 29.92607921 0
5 60 0 0.0162 -0.0736 60.0162 -0.07362079 0
6 90 30 0.0175 -0.0741 90.0174995 29.92592823 0
7 90 0 0.0243 -0.0741 90.0243 -0.07407177 0
8 120 20 0.01542 -0.055 120.0154155 19.94497431 0
9 120 0 0.0324 -0.0566 120.0324 -0.05662569 0
10 150 0 0.0396 0 150.0396 0 0
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12 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0
Coordinates of Grid ConsCoordinates of Grid after
DeformationDisplacement
32 0 0 0 0 0 0 0
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73 0 0 0 0 0 0 0
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74 0 0 0 0 0 0 0
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96 0 0 0 0 0 0 0
97 0 0 0 0 0 0 098 0 0 0 0 0 0 0
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Total Strain Energy
Type of Element
Element No.
Grid No.
y x y Px Py
1 0 0 0.0 0.0 Thickness
0 0 0 0.0 0.0 Material Properties - Material Axis
0 0 -500 0.0 0.0
0 0 -1000 0.0 0.0
0 0 0 0.0 0.0
0 500 -1000 0.0 0.0 Direction of Material Axis - Global Coo
0 0 0 0.0 0.0 Direction of Element Coord.
0 0 0 0.0 0.0 Strain Energy
0 0 -500 0.0 0.0 Grid Coorinates before Deformation
1 0 0 0.0 0.0 - Global Coordinate System
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0 Grid Coorinates after Deformation
0 0 0 0.0 0.0 - Global Coordinate System
0 0 0 0 0 0 0
traint External Forces and
Reactions
External Forces
(Input)
0 0 0 0.0 0.0
0 0 0 0 0 0 0
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0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0 Grid Point Force0 0 0 0.0 0.0 - Global Coordinate System
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0 Grid Point Force, x-direction
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0 0 0 0
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0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
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Direction Cosine 1-->2
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Stiffeness - Material Axis
Stiffeness - Element Coordinate Syste
Element Stiffness Matrix
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nts, put "off" in this column,
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0
TRIA3
4
1 3
2 4
3 17
t 1
E1 7000
E2 7000
v12 0.3
G12 2692
theta (deg) 0
phi (deg) 45
U 4.608064
x1 30
y1 0
x2 60
y2 30
x3 0
y3 0
x1' 30.0078
y1' -0.05562
x2' 60 0244
22 152.448
31 56.21325
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32 248.6827
Fe 1x 199.12251y -368.162
2x -63.0261
2y 152.5679
3x -136.096
3y 215.594
1 0.0
2 0.03 199.1
4 -63.0
5 0.0
6 0.0
7 0.0
8 0.0
9 0.010 0.0
11 0.0
12 0.0
13 0.0
14 0.0
15 0.0
16 0.017 -136.1
33 0.0
34 0.0
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35 0.0
36 0.037 0.0
38 0.0
39 0.0
40 0.0
41 0.0
42 0.0
43 0.044 0.0
45 0.0
46 0.0
47 0.0
48 0.0
49 0.0
50 0.051 0.0
52 0.0
53 0.0
54 0.0
55 0.0
56 0.0
57 0.058 0.0
74 0.0
75 0.0
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76 0.0
77 0.078 0.0
79 0.0
80 0.0
81 0.0
82 0.0
83 0.0
84 0.085 0.0
86 0.0
87 0.0
88 0.0
89 0.0
90 0.0
91 0.092 0.0
93 0.0
94 0.0
95 0.0
96 0.0
97 0.0
98 0.099 0.0
5 0.0
6 0.0
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7 0.0
8 0.09 0.0
10 0.0
11 0.0
12 0.0
13 0.0
14 0.0
15 0.016 0.0
17 215.6
18 0.0
19 0.0
20 0.0
21 0.0
22 0.023 0.0
24 0.0
25 0.0
26 0.0
27 0.0
28 0.0
29 0.030 0.0
46 0.0
47 0.0
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48 0.0
49 0.050 0.0
51 0.0
52 0.0
53 0.0
54 0.0
55 0.0
56 0.057 0.0
58 0.0
59 0.0
60 0.0
61 0.0
62 0.0
63 0.064 0.0
65 0.0
66 0.0
67 0.0
68 0.0
69 0.0
70 0.071 0.0
87 0.0
88 0.0
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89 0.0
90 0.091 0.0
92 0.0
93 0.0
94 0.0
95 0.0
96 0.0
97 0.098 0.0
99 0.0
100 0.0
101 0.0
102 0.0
103 0.0
104 0.0105 0.0
106 0.0
107 0.0
108 0.0
109 0.0
110 0.0
m 0.707107n 0.707107
u2 -0.03502
v2 -0.06952
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u3 0
v3 0Q11 7692.308
Q12 2307.692
Q22 7692.308
Q66 2692
m 0.707107
n -0.70711
Qxx 7692Qxy 2308
Qxs -5.6E-14
Qyx 2308
Qyy 7692
Qys 5.55E-14
Qsx -5.6E-14
Qsy 5.55E-14Qss 2692.308
[K]_e 11 7980.692
12 3750.231
13 -3942.23
14 -2596.23
15 -4038.46
16 -115421 3750.231
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36 0
[D][B] 11 -181.302
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12 -163.2
13 181.302214 54.40008
15 -2.6E-15
16 108.8002
21 -54.4001
22 -543.907
23 54.40008
24 181.302225 2.62E-15
26 362.6044
31 -190.375
32 -63.4583
33 63.4583
34 63.4583
35 126.916636 2.62E-15
[D][B][d] 1 3.319538
2 11.72301
3 2.649918
[d][B]T 1 -2.8E-05
2 0.001533
3 0.000984[B]T[D][B] 11 17.73487
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2-Dimensional Linear Elastic Problem Quad. Elements off
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Grid No.
x y u v x' y' x y
1 0 0 0 0 0 0 1 1
2 30 20 0.02521 -0.0542 30.025213 19.945776 0 03 30 0 0.0078 -0.0556 30.0078 -0.0556242 0 0
4 60 30 0.0244 -0.0739 60.0244 29.926079 0 0
5 60 0 0.0162 -0.0736 60.0162 -0.0736208 0 0
6 90 30 0.0175 -0.0741 90.0175 29.925928 0 0
7 90 0 0.0243 -0.0741 90.0243 -0.0740718 0 0
8 120 20 0.01542 -0.055 120.01542 19.944974 0 0
9 120 0 0.0324 -0.0566 120.0324 -0.0566257 0 010 150 0 0.0396 0 150.0396 0 0 1
11 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0
Coordinates of Grid ConstraintCoordinates of Grid after
DeformationDisplacement
32 0 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0 0
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34 0 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0 0
36 0 0 0 0 0 0 0 0
37 0 0 0 0 0 0 0 0
38 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0 0
44 0 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0 0
46 0 0 0 0 0 0 0 0
47 0 0 0 0 0 0 0 0
48 0 0 0 0 0 0 0 0
49 0 0 0 0 0 0 0 0
50 0 0 0 0 0 0 0 0
51 0 0 0 0 0 0 0 0
52 0 0 0 0 0 0 0 0
53 0 0 0 0 0 0 0 0
54 0 0 0 0 0 0 0 0
55 0 0 0 0 0 0 0 0
56 0 0 0 0 0 0 0 057 0 0 0 0 0 0 0 0
73 0 0 0 0 0 0 0 0
74 0 0 0 0 0 0 0 0
75 0 0 0 0 0 0 0 0
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75 0 0 0 0 0 0 0 0
76 0 0 0 0 0 0 0 0
77 0 0 0 0 0 0 0 0
78 0 0 0 0 0 0 0 0
79 0 0 0 0 0 0 0 0
80 0 0 0 0 0 0 0 0
81 0 0 0 0 0 0 0 0
82 0 0 0 0 0 0 0 0
83 0 0 0 0 0 0 0 0
84 0 0 0 0 0 0 0 0
85 0 0 0 0 0 0 0 0
86 0 0 0 0 0 0 0 0
87 0 0 0 0 0 0 0 0
88 0 0 0 0 0 0 0 0
89 0 0 0 0 0 0 0 0
90 0 0 0 0 0 0 0 0
91 0 0 0 0 0 0 0 0
92 0 0 0 0 0 0 0 0
93 0 0 0 0 0 0 0 0
94 0 0 0 0 0 0 0 0
95 0 0 0 0 0 0 0 0
96 0 0 0 0 0 0 0 0
97 0 0 0 0 0 0 0 0
98 0 0 0 0 0 0 0 0
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u use Quad. elements, put "on" in this column. If you don't use Quad. elements, p
Total Strain Energy
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gy
Type of ElemetElement No.
Grid No.
x y Px Py
0 0 0.0 0.0
0 0 0.0 0.0 Thickness0 -500 0.0 0.0 Material Properties - Material Axis
0 -1000 0.0 0.0
0 0 0.0 0.0
500 -1000 0.0 0.0
0 0 0.0 0.0 Direction of Material Axis - Global Coo
0 0 0.0 0.0 Direction of Element Coord.
0 -500 0.0 0.0 Strain Energy0 0 0.0 0.0 Grid Coorinates before Deformation
0 0 0.0 0.0 - Global Coordinate System
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.00 0 0.0 0.0
External Forces and
Reactions
External Forces
(Input)
0 0 0.0 0.0 - Global Coordinate System
0 0 0.0 0.0
0 0 0.0 0.0 Grid Point Force
0 0 0 0 0 0 El t C di t S t
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0 0 0.0 0.0 - Element Coordinate System
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0 Grid Point Force
0 0 0.0 0.0 - Global Coordinate System
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0 Grid Point Force, x-direction
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0 0 0 0
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0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
0 0 0.0 0.0
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Grid Point Force, y-direction
-
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Grid Point Coordinates after Defomati
- Element Coordinate System
-
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- Element Coordinate System
Displacement of Grid
- Element Coordinate System
Stiffeness - Material Axis
Stiffeness - Element Coordinate Syste
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Center of Element
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NumericaL Integration Points, n=2
NumericaL Integration Point 1
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[B][D]
-
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NumericaL Integration Point 2
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NumericaL Integration Point 3
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[B][D]
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NumericaL Integration Point 4
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t "off" in this column,
0
QUAD4
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1
1 1
2 3
3 5
4 2
t 1
E1 7000
E2 7000
v12 0.3
G12 2692
theta (deg) 0
phi (deg) 0
U 2.40351
x1 0
y1 0
x2 30
y2 0
x3 60
y3 0
x4 30
y4 20
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24 0.0
25 0.0
26 0.0
27 0.0
28 0 0
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28 0.0
29 0.0
30 0.0
31 0.0
32 0.0
33 0.0
34 0.0
35 0.0
36 0.0
37 0.0
38 0.0
39 0.0
40 0.0
41 0.0
42 0.0
43 0.0
44 0.0
45 0.0
46 0.0
47 0.0
48 0.0
49 0.0
65 0.0
66 0.0
67 0.0
68 0.0
69 0 0
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69 0.0
70 0.0
71 0.0
72 0.0
73 0.0
74 0.0
75 0.0
76 0.0
77 0.0
78 0.0
79 0.0
80 0.0
81 0.0
82 0.0
83 0.0
84 0.0
85 0.0
86 0.0
87 0.0
88 0.0
89 0.0
90 0.0
106 0.0
107 0.0
108 0.0
109 0.0
110 0 0
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110 0.0
1 120.9
2 34.8
3 -257.6
4 0.0
5 101.8
6 0.0
7 0.0
8 0.0
9 0.0
10 0.0
11 0.0
12 0.0
13 0.0
14 0.0
15 0.0
16 0.0
17 0.0
18 0.0
19 0.0
20 0.0
21 0.0
37 0.0
38 0.0
39 0.0
40 0.0
41 0 0
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41 0.0
42 0.0
43 0.0
44 0.0
45 0.0
46 0.0
47 0.0
48 0.0
49 0.0
50 0.0
51 0.0
52 0.0
53 0.0
54 0.0
55 0.0
56 0.0
57 0.0
58 0.0
59 0.0
60 0.0
61 0.0
62 0.0
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xe4 30
ye4 20
xe1' 0
ye1' 0
xe2' 30 0078
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xe2' 30.0078
ye2' -0.0556
xe3' 60.0162
ye3' -0.0736
xe4' 30.0252
ye4' 19.9458
u1 0
v1 0
u2 0.0078
v2 -0.0556
u3 0.0162
v3 -0.0736
u4 0.02521
v4 -0.0542
Q11 7692.31
Q12 2307.69
Q22 7692.31
Q66 2692
m 1
n 0
Qxx 7692.31
Qxy 2307.69
21 0
22 3408.06
23 1346
24 -5918.8
25 2 1E 14
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25 2.1E-14
26 2510.73
27 -1346
28 0
31 -2446.4
32 1346
33 8930.7
34 0
35 -2446.4
36 -1346
37 -4038
38 0
41 1153.85
42 -5918.8
43 0
44 23376
45 -1153.8
46 -5918.8
47 0
48 -11538
51 -58.876
52 -4E-15
72 -1346
73 -4038
74 0
75 0
76 1346
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76 1346
77 4038
78 0
81 -1153.8
82 -2E-13
83 0
84 -11538
85 1153.85
86 -2E-13
87 0
88 11538.5
x 0
h 0
J 11 15
12 -5
21 15
22 5
J-1 11 0.03333
12 0.03333
21 -0.1
22 0.1
det[J] 150
dN4/dy 0.05
[B] 11 -0.0167
12 0
13 0
14 0
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14 0
15 0.01667
16 0
17 0
18 0
21 0
22 0
23 0
24 -0.05
25 0
26 0
27 0
28 0.05
31 0
32 -0.0167
33 -0.05
34 0
35 0
36 0.01667
37 0.05
38 0
[D][B] 11 -128.21
31 0
32 -44.867
33 -134.6
34 0
35 0
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35 0
36 44.8667
37 134.6
38 0
1 x -0.5774
h -0.5774
H 1
2 x 0.57735
h -0.5774
H 1
3 x -0.5774
h 0.57735
H 1
4 x 0.57735
h 0.57735
H 1
J 11 15
12 -2.1132
21 15
22 7.88675
J-1 11 0.05258
12 0.01409
dN1/dy 0
dN2/dy -0.05
dN3/dy 0
dN4/dy 0.05
[B] 11 -0 0263
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[B] 11 -0.0263
12 0
13 0.01925
14 0
15 0.00704
16 0
17 0
18 0
21 0
22 0
23 0
24 -0.05
25 0
26 0
27 0
28 0.05
31 0
32 -0.0263
33 -0.05
34 0.01925
35 0
36 0.00704
17 0
18 115.385
21 -60.667
22 0
23 44 4116
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23 44.4116
24 -384.62
25 16.2558
26 0
27 0
28 384.615
31 0
32 -70.77
33 -134.6
34 51.8076
35 0
36 18.9629
37 134.6
38 0
[B]*H*det[J] 11 797.447
12 0
13 -583.77
14 455.005
15 -213.68
16 0
17 0
18 -455
38 333.087
41 455.005
42 -204.3
43 -721.64
44 3034 17
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44 3034.17
45 -121.92
46 54.7411
47 388.557
48 -2884.6
51 -213.68
52 0
53 156.421
54 -121.92
55 57.2541
56 0
57 0
58 121.918
61 0
62 -74.778
63 -142.22
64 54.7411
65 0
66 20.0366
67 142.222
68 0
71 0
J 11 15
12 -2.1132
21 15
22 2.11325
J-1 11 0.03333
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J 1 11 0.03333
12 0.03333
21 -0.2366
22 0.2366
det[J] 63.3975
dN1/dx -0.3943
dN2/dx 0.39434
dN3/dx 0.10566
dN4/dx -0.1057
dN1/dh -0.1057
dN2/dh -0.3943
dN3/dh 0.39434
dN4/dh 0.10566
dN1/dx -0.0167
dN2/dx 0
dN3/dx 0.01667
dN4/dx 0
dN1/dy 0.0683
dN2/dy -0.1866
dN3/dy 0.0683
dN4/dy 0.05
[B] 11 -0.0167
31 0.0683
32 -0.0167
33 -0.1866
34 0
35 0.0683
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35 0.0683
36 0.01667
37 0.05
38 0
[B](d) 1 0.00027
2 0.00264
3 -0.0003
[D][B](d) 1 8.16927
2 20.9309
3 -0.8491
U2 1.83001
[D][B] 11 -128.21
12 157.618
13 0
14 -430.62
15 128.205
16 157.618
17 0
18 115.385
21 -38.462
22 525.394
23 0
13 -2175.2
14 455.005
15 660.703
16 27.735
17 582.835
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58 835
18 -121.92
21 -360.82
22 2322.43
23 530.778
24 -6215.5
25 -27.735
26 2227.62
27 -142.22
28 1665.43
31 -2175.2
32 530.778
33 5942.68
34 0
35 -2175.2
36 -530.78
37 -1592.3
38 0
41 455.005
42 -6215.5
43 0
44 16981
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16 -42.234
17 0
18 115.385
21 -38.462
22 -140.78
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23 0
24 -103.06
25 38.4615
26 -140.78
27 0
28 384.615
31 -49.26732 -44.867
33 -36.066
34 0
35 -49.267
36 44.8667
37 134.6
38 0[B]*H*det[J] 11 718.893
12 360.822
13 156.17
14 121.918
15 -292.23
16 -27.735
17 -582.84
37 -426.66
38 0
41 121.918
42 446.252
43 0
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44 326.679
45 -121.92
46 446.252
47 0
48 -1219.2
51 -292.23
52 27.73553 156.17
54 -121.92
55 718.893
56 -360.82
57 -582.84
58 455.005
61 -27.73562 432.665
63 -142.22
64 446.252
65 -360.82
66 786.517
67 530.778
68 -1665.4
88 4550.05
J 11 15
12 -7.8868
21 15
22 2.11325
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J-1 11 0.01409
12 0.05258
21 -0.1
22 0.1
det[J] 150
dN1/dx -0.1057
dN2/dx 0.10566
dN3/dx 0.39434
dN4/dx -0.3943
dN1/dh -0.1057
dN2/dh -0.3943
dN3/dh 0.39434
dN4/dh 0.10566
dN1/dx -0.007dN2/dx -0.0192
dN3/dx 0.02629
dN4/dx 0
dN1/dy 0
dN2/dy -0.05
dN3/dy 0
dN4/dy 0.05
28 0.05
31 0
32 -0.007
33 -0.05
34 -0.0192
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35 0
36 0.02629
37 0.05
38 0
[B](d) 1 0.00028
2 7E-05
3 5.7E-06[D][B](d) 1 2.28287
2 1.17486
3 0.01532
U4 0.05339
[D][B] 11 -54.186
12 0
13 -148.0414 -115.38
15 202.224
16 0
17 0
18 115.385
21 -16.256
22 0
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63 -530.78
64 -204.3
65 0
66 279.074
67 530.778
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68 0
71 0
72 -142.22
73 -1009.5
74 -388.56
75 0
76 530.77877 1009.5
78 0
81 -121.92
82 0
83 -333.09
84 -2884.6
85 455.00586 0
87 0
88 2884.62
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2-Dimensional Linear Elastic Problem Spring Elements off
Grid No.
x y u v x' y' x
1 0 0 0 0 0 0 1
2 30 20 0.02521 -0.0542 30.0252126 19.9457758 0
3 30 0 0.0078 -0.0556 30.0078 -0.0556242 0
Coordinates of Grid ConsCoordinates of Grid after
DeformationDisplacement
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4 60 30 0.0244 -0.0739 60.0243995 29.9260792 05 60 0 0.0162 -0.0736 60.0162 -0.0736208 0
6 90 30 0.0175 -0.0741 90.0174995 29.9259282 0
7 90 0 0.0243 -0.0741 90.0243 -0.0740718 0
8 120 20 0.01542 -0.055 120.015415 19.9449743 0
9 120 0 0.0324 -0.0566 120.0324 -0.0566257 0
10 150 0 0.0396 0 150.0396 0 0
11 0 0 0 0 0 0 012 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0
32 0 0 0 0 0 0 0
33 0 0 0 0 0 0 0
34 0 0 0 0 0 0 0
35 0 0 0 0 0 0 0
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38 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0
41 0 0 0 0 0 0 0
42 0 0 0 0 0 0 0
43 0 0 0 0 0 0 0
44 0 0 0 0 0 0 0
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44 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0
46 0 0 0 0 0 0 0
47 0 0 0 0 0 0 0
48 0 0 0 0 0 0 0
49 0 0 0 0 0 0 0
50 0 0 0 0 0 0 0
51 0 0 0 0 0 0 0
52 0 0 0 0 0 0 0
53 0 0 0 0 0 0 0
54 0 0 0 0 0 0 0
55 0 0 0 0 0 0 0
56 0 0 0 0 0 0 0
57 0 0 0 0 0 0 0
73 0 0 0 0 0 0 0
74 0 0 0 0 0 0 0
75 0 0 0 0 0 0 0
76 0 0 0 0 0 0 0
77 0 0 0 0 0 0 0
78 0 0 0 0 0 0 0
79 0 0 0 0 0 0 0
80 0 0 0 0 0 0 0
81 0 0 0 0 0 0 0
82 0 0 0 0 0 0 0
83 0 0 0 0 0 0 0
84 0 0 0 0 0 0 0
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85 0 0 0 0 0 0 0
86 0 0 0 0 0 0 0
87 0 0 0 0 0 0 0
88 0 0 0 0 0 0 0
89 0 0 0 0 0 0 0
90 0 0 0 0 0 0 0
91 0 0 0 0 0 0 0
92 0 0 0 0 0 0 0
93 0 0 0 0 0 0 0
94 0 0 0 0 0 0 0
95 0 0 0 0 0 0 0
96 0 0 0 0 0 0 0
97 0 0 0 0 0 0 0
98 0 0 0 0 0 0 0
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0 0 -1000 0.0 0.00 0 0 0.0 0.0
0 500 -1000 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 -500 0.0 0.0
1 0 0 0.0 0.0
0 0 0 0.0 0.00 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0 0 0 0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
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0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
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0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
0 0 0 0.0 0.0
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u don't use Spring elements, put "off" in this column,
Total Strain Energy 0
Type of Elemet SPRING
Element No. 1
Degree of Freedom of Spring: x-->1, y-->2 1
Grid No. 1 2
2 6
Spring Constant K 449110
Strain Energy U 13.3593
Grid Coorinates x1 30
- Global Coordinate System y1 20
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x2 90
y2 30
Grid Coorinates after Deformation x1' 30.0252
- Global Coordinate System y1' 19.9458
x2' 90.0175
y2' 29.9259
Extension of Spring d -0.0077
Grid Point Force Fe 11 3464.05
- Element Coordinate System 12 0
21 -3464
22 0
Grid Point Force Fe 1x 3464.05
- Global Coordinate System 1y 0
13 0.0
14 0.0
15 0.0
16 0.0
17 0.0
18 0.0
19 0.0
20 0.0
21 0.0
22 0.0
23 0.0
24 0.0
25 0.0
26 0 0
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26 0.0
27 0.0
28 0.0
29 0.0
30 0.0
31 0.0
32 0.0
33 0.0
34 0.0
35 0.0
36 0.0
37 0.0
38 0.0
54 0.0
55 0.0
56 0.0
57 0.0
58 0.0
59 0.0
60 0.0
61 0.0
62 0.0
63 0.0
64 0.0
65 0.0
66 0.0
67 0 0
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67 0.0
68 0.0
69 0.0
70 0.0
71 0.0
72 0.0
73 0.0
74 0.0
75 0.0
76 0.0
77 0.0
78 0.0
79 0.0
95 0.0
96 0.0
97 0.0
98 0.0
99 0.0
100 0.0
101 0.0
102 0.0
103 0.0
104 0.0
105 0.0
106 0.0
107 0.0
108 0 0
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108 0.0
109 0.0
110 0.0
Grid Point Force, y-direction 1 0.0
2 0.0
3 0.0
4 0.0
5 0.0
6 0.0
7 0.0
8 0.0
9 0.0
10 0.0
26 0.0
27 0.0
28 0.0
29 0.0
30 0.0
31 0.0
32 0.0
33 0.0
34 0.0
35 0.0
36 0.0
37 0.0
38 0.0
39 0 0
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39 0.0
40 0.0
41 0.0
42 0.0
43 0.0
44 0.0
45 0.0
46 0.0
47 0.0
48 0.0
49 0.0
50 0.0
51 0.0
67 0.0
68 0.0
69 0.0
70 0.0
71 0.0
72 0.0
73 0.0
74 0.0
75 0.0
76 0.0
77 0.0
78 0.0
79 0.0
80 0 0
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80 0.0
81 0.0
82 0.0
83 0.0
84 0.0
85 0.0
86 0.0
87 0.0
88 0.0
89 0.0
90 0.0
91 0.0
92 0.0
108 0.0
109 0.0
110 0.0
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J-1
det[J]
dN1/dx
dN2/dx
dN3/dx
dN4/dx
dN1/dh
dN2/dh
dN3/dh
dN4/dh
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dN4/dh
dN1/dx
dN2/dx
dN3/dx
dN4/dx
dN1/dy
dN2/dy
dN3/dy
dN4/dy
[B]
[D][B]
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25
30
35