Output file for Plane Stress Analysis of Cantilever
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Title : DESCRIPTION OF FINITE ELEMENT MESH
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=======================
Profile of Problem Size
=======================
Dimension of Problem = 2
Number Nodes = 33
Degrees of Freedom per node = 2
Max No Nodes Per Element = 4
Number Elements = 20
Number Element Attributes = 1
Number Loaded Nodes = 2
Number Loaded Elements = 0
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Node# X_coord Y_coord Tx Ty
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1 0.0000e+00 cm 0.0000e+00 cm -1 -2
2 0.0000e+00 cm 1.5000e+01 cm -3 1
3 0.0000e+00 cm 3.0000e+01 cm -4 2
4 2.0000e+01 cm 0.0000e+00 cm 3 4
5 2.0000e+01 cm 1.5000e+01 cm 5 6
6 2.0000e+01 cm 3.0000e+01 cm 7 8
7 4.0000e+01 cm 0.0000e+00 cm 9 10
8 4.0000e+01 cm 1.5000e+01 cm 11 12
9 4.0000e+01 cm 3.0000e+01 cm 13 14
10 6.0000e+01 cm 0.0000e+00 cm 15 16
11 6.0000e+01 cm 1.5000e+01 cm 17 18
12 6.0000e+01 cm 3.0000e+01 cm 19 20
13 8.0000e+01 cm 0.0000e+00 cm 21 22
14 8.0000e+01 cm 1.5000e+01 cm 23 24
15 8.0000e+01 cm 3.0000e+01 cm 25 26
16 1.0000e+02 cm 0.0000e+00 cm 27 28
17 1.0000e+02 cm 1.5000e+01 cm 29 30
18 1.0000e+02 cm 3.0000e+01 cm 31 32
19 1.2000e+02 cm 0.0000e+00 cm 33 34
20 1.2000e+02 cm 1.5000e+01 cm 35 36
21 1.2000e+02 cm 3.0000e+01 cm 37 38
22 1.4000e+02 cm 0.0000e+00 cm 39 40
23 1.4000e+02 cm 1.5000e+01 cm 41 42
24 1.4000e+02 cm 3.0000e+01 cm 43 44
25 1.6000e+02 cm 0.0000e+00 cm 45 46
26 1.6000e+02 cm 1.5000e+01 cm 47 48
27 1.6000e+02 cm 3.0000e+01 cm 49 50
28 1.8000e+02 cm 0.0000e+00 cm 51 52
29 1.8000e+02 cm 1.5000e+01 cm 53 54
30 1.8000e+02 cm 3.0000e+01 cm 55 56
31 2.0000e+02 cm 0.0000e+00 cm 57 58
32 2.0000e+02 cm 1.5000e+01 cm 59 60
33 2.0000e+02 cm 3.0000e+01 cm 61 62
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Element# Type node[1] node[2] node[3] node[4] Element_Attr_Name
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1 PLANE_STRESS 1 4 5 2 cantilever_elmt_attr
2 PLANE_STRESS 2 5 6 3 cantilever_elmt_attr
3 PLANE_STRESS 4 7 8 5 cantilever_elmt_attr
4 PLANE_STRESS 5 8 9 6 cantilever_elmt_attr
5 PLANE_STRESS 7 10 11 8 cantilever_elmt_attr
6 PLANE_STRESS 8 11 12 9 cantilever_elmt_attr
7 PLANE_STRESS 10 13 14 11 cantilever_elmt_attr
8 PLANE_STRESS 11 14 15 12 cantilever_elmt_attr
9 PLANE_STRESS 13 16 17 14 cantilever_elmt_attr
10 PLANE_STRESS 14 17 18 15 cantilever_elmt_attr
11 PLANE_STRESS 16 19 20 17 cantilever_elmt_attr
12 PLANE_STRESS 17 20 21 18 cantilever_elmt_attr
13 PLANE_STRESS 19 22 23 20 cantilever_elmt_attr
14 PLANE_STRESS 20 23 24 21 cantilever_elmt_attr
15 PLANE_STRESS 22 25 26 23 cantilever_elmt_attr
16 PLANE_STRESS 23 26 27 24 cantilever_elmt_attr
17 PLANE_STRESS 25 28 29 26 cantilever_elmt_attr
18 PLANE_STRESS 26 29 30 27 cantilever_elmt_attr
19 PLANE_STRESS 28 31 32 29 cantilever_elmt_attr
20 PLANE_STRESS 29 32 33 30 cantilever_elmt_attr
======================
Element Attribute Data
======================
Element Attribute No 1 : name = "cantilever_elmt_attr"
: section = "cantilever_section"
: material = "cantilever_material"
: type = PLANE_STRESS
: Young's Modulus = E = 2.000e+10 Pa
: Poisson's ratio = nu = 3.333e-01
: Area = 1.500e-02 m^2
EXTERNAL NODAL LOADINGS
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Node# Fx (kN) Fy (kN)
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31 10.00 0.00
33 -10.00 0.00
============= End of Finite Element Mesh Description ==============
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Node Displacement
No displ-x displ-y
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units m m
1 0.00000e+00 0.00000e+00
2 0.00000e+00 -2.08696e-07
3 0.00000e+00 -4.24311e-19
4 1.66957e-06 1.11304e-06
5 7.93035e-20 9.04348e-07
6 -1.66957e-06 1.11304e-06
7 3.33913e-06 4.45217e-06
8 6.79744e-20 4.24348e-06
9 -3.33913e-06 4.45217e-06
10 5.00870e-06 1.00174e-05
11 8.63974e-20 9.80870e-06
12 -5.00870e-06 1.00174e-05
13 6.67826e-06 1.78087e-05
14 1.04185e-19 1.76000e-05
15 -6.67826e-06 1.78087e-05
16 8.34783e-06 2.78261e-05
17 1.18585e-19 2.76174e-05
18 -8.34783e-06 2.78261e-05
19 1.00174e-05 4.00696e-05
20 1.33831e-19 3.98609e-05
21 -1.00174e-05 4.00696e-05
22 1.16870e-05 5.45391e-05
23 1.55854e-19 5.43304e-05
24 -1.16870e-05 5.45391e-05
25 1.33565e-05 7.12348e-05
26 1.72795e-19 7.10261e-05
27 -1.33565e-05 7.12348e-05
28 1.50261e-05 9.01565e-05
29 1.93124e-19 8.99478e-05
30 -1.50261e-05 9.01565e-05
31 1.66957e-05 1.11304e-04
32 1.89735e-19 1.11096e-04
33 -1.66957e-05 1.11304e-04
Coordinates of Displaced Cantilever
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1 0 cm 0 cm
2 0 cm 14.98 cm
3 0 cm 30 cm
4 20.17 cm 0.1113 cm
5 20 cm 15.09 cm
6 19.83 cm 30.11 cm
7 40.33 cm 0.4452 cm
8 40 cm 15.42 cm
9 39.67 cm 30.45 cm
10 60.5 cm 1.002 cm
11 60 cm 15.98 cm
12 59.5 cm 31 cm
13 80.67 cm 1.781 cm
14 80 cm 16.76 cm
15 79.33 cm 31.78 cm
16 100.8 cm 2.783 cm
17 100 cm 17.76 cm
18 99.17 cm 32.78 cm
19 121 cm 4.007 cm
20 120 cm 18.99 cm
21 119 cm 34.01 cm
22 141.2 cm 5.454 cm
23 140 cm 20.43 cm
24 138.8 cm 35.45 cm
25 161.3 cm 7.123 cm
26 160 cm 22.1 cm
27 158.7 cm 37.12 cm
28 181.5 cm 9.016 cm
29 180 cm 23.99 cm
30 178.5 cm 39.02 cm
31 201.7 cm 11.13 cm
32 200 cm 26.11 cm
33 198.3 cm 41.13 cm
MATRIX : "M"
row/col 1 2 3 4
units
1 7.46410e+00 2.00000e+00 5.35898e-01 2.00000e+00
2 2.00000e+00 7.46410e+00 2.00000e+00 5.35898e-01
3 5.35898e-01 2.00000e+00 7.46410e+00 2.00000e+00
4 2.00000e+00 5.35898e-01 2.00000e+00 7.46410e+00
Element Stresses (sigma_xx at the nodal points)
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1 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
2 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
3 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
4 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
5 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
6 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
7 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
8 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
9 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
10 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
11 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
12 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
13 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
14 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
15 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
16 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
17 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
18 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
19 1.774e+05 1.774e+05 -1.043e+04 -1.043e+04
20 1.043e+04 1.043e+04 -1.774e+05 -1.774e+05
Developed in February 1998 by Mark Austin
Last Modified February 21, 1998
Copyright © 1998, Mark Austin,
Department of Civil Engineering,
University of Maryland