Output file for Plane Strain Analysis of Pipe Cross Section
===========================================================================
Title : DESCRIPTION OF FINITE ELEMENT MESH
===========================================================================
=======================
Profile of Problem Size
=======================
Dimension of Problem = 2
Number Nodes = 99
Degrees of Freedom per node = 2
Max No Nodes Per Element = 4
Number Elements = 80
Number Element Attributes = 1
Number Loaded Nodes = 2
Number Loaded Elements = 0
===================================================
Node# X_coord Y_coord Tx Ty
===================================================
1 1.0000e+01 cm 0.0000e+00 cm 1 -1
2 1.0500e+01 cm 0.0000e+00 cm 2 -2
3 1.1000e+01 cm 0.0000e+00 cm 3 -3
4 1.1500e+01 cm 0.0000e+00 cm 4 -4
5 1.2000e+01 cm 0.0000e+00 cm 5 -5
6 1.2500e+01 cm 0.0000e+00 cm 6 -6
7 1.3000e+01 cm 0.0000e+00 cm 7 -7
8 1.3500e+01 cm 0.0000e+00 cm 8 -8
9 1.4000e+01 cm 0.0000e+00 cm 9 -9
10 1.4500e+01 cm 0.0000e+00 cm 10 -10
11 1.5000e+01 cm 0.0000e+00 cm 11 -11
12 9.8079e+00 cm 1.9509e+00 cm 12 13
13 1.0298e+01 cm 2.0484e+00 cm 14 15
14 1.0789e+01 cm 2.1460e+00 cm 16 17
15 1.1279e+01 cm 2.2435e+00 cm 18 19
16 1.1769e+01 cm 2.3411e+00 cm 20 21
17 1.2260e+01 cm 2.4386e+00 cm 22 23
18 1.2750e+01 cm 2.5362e+00 cm 24 25
19 1.3241e+01 cm 2.6337e+00 cm 26 27
20 1.3731e+01 cm 2.7313e+00 cm 28 29
21 1.4221e+01 cm 2.8288e+00 cm 30 31
22 1.4712e+01 cm 2.9264e+00 cm 32 33
23 9.2388e+00 cm 3.8268e+00 cm 34 35
24 9.7007e+00 cm 4.0182e+00 cm 36 37
25 1.0163e+01 cm 4.2095e+00 cm 38 39
26 1.0625e+01 cm 4.4009e+00 cm 40 41
27 1.1087e+01 cm 4.5922e+00 cm 42 43
28 1.1548e+01 cm 4.7835e+00 cm 44 45
29 1.2010e+01 cm 4.9749e+00 cm 46 47
30 1.2472e+01 cm 5.1662e+00 cm 48 49
31 1.2934e+01 cm 5.3576e+00 cm 50 51
32 1.3396e+01 cm 5.5489e+00 cm 52 53
33 1.3858e+01 cm 5.7403e+00 cm 54 55
34 8.3147e+00 cm 5.5557e+00 cm 56 57
35 8.7304e+00 cm 5.8335e+00 cm 58 59
36 9.1462e+00 cm 6.1113e+00 cm 60 61
37 9.5619e+00 cm 6.3891e+00 cm 62 63
38 9.9776e+00 cm 6.6668e+00 cm 64 65
39 1.0393e+01 cm 6.9446e+00 cm 66 67
40 1.0809e+01 cm 7.2224e+00 cm 68 69
41 1.1225e+01 cm 7.5002e+00 cm 70 71
42 1.1641e+01 cm 7.7780e+00 cm 72 73
43 1.2056e+01 cm 8.0558e+00 cm 74 75
44 1.2472e+01 cm 8.3336e+00 cm 76 77
45 7.0711e+00 cm 7.0711e+00 cm 78 79
46 7.4246e+00 cm 7.4246e+00 cm 80 81
47 7.7782e+00 cm 7.7782e+00 cm 82 83
48 8.1317e+00 cm 8.1317e+00 cm 84 85
49 8.4853e+00 cm 8.4853e+00 cm 86 87
50 8.8388e+00 cm 8.8388e+00 cm 88 89
51 9.1924e+00 cm 9.1924e+00 cm 90 91
52 9.5459e+00 cm 9.5459e+00 cm 92 93
53 9.8995e+00 cm 9.8995e+00 cm 94 95
54 1.0253e+01 cm 1.0253e+01 cm 96 97
55 1.0607e+01 cm 1.0607e+01 cm 98 99
56 5.5557e+00 cm 8.3147e+00 cm 100 101
57 5.8335e+00 cm 8.7304e+00 cm 102 103
58 6.1113e+00 cm 9.1462e+00 cm 104 105
59 6.3891e+00 cm 9.5619e+00 cm 106 107
60 6.6668e+00 cm 9.9776e+00 cm 108 109
61 6.9446e+00 cm 1.0393e+01 cm 110 111
62 7.2224e+00 cm 1.0809e+01 cm 112 113
63 7.5002e+00 cm 1.1225e+01 cm 114 115
64 7.7780e+00 cm 1.1641e+01 cm 116 117
65 8.0558e+00 cm 1.2056e+01 cm 118 119
66 8.3336e+00 cm 1.2472e+01 cm 120 121
67 3.8268e+00 cm 9.2388e+00 cm 122 123
68 4.0182e+00 cm 9.7007e+00 cm 124 125
69 4.2095e+00 cm 1.0163e+01 cm 126 127
70 4.4009e+00 cm 1.0625e+01 cm 128 129
71 4.5922e+00 cm 1.1087e+01 cm 130 131
72 4.7835e+00 cm 1.1548e+01 cm 132 133
73 4.9749e+00 cm 1.2010e+01 cm 134 135
74 5.1662e+00 cm 1.2472e+01 cm 136 137
75 5.3576e+00 cm 1.2934e+01 cm 138 139
76 5.5489e+00 cm 1.3396e+01 cm 140 141
77 5.7403e+00 cm 1.3858e+01 cm 142 143
78 1.9509e+00 cm 9.8079e+00 cm 144 145
79 2.0484e+00 cm 1.0298e+01 cm 146 147
80 2.1460e+00 cm 1.0789e+01 cm 148 149
81 2.2435e+00 cm 1.1279e+01 cm 150 151
82 2.3411e+00 cm 1.1769e+01 cm 152 153
83 2.4386e+00 cm 1.2260e+01 cm 154 155
84 2.5362e+00 cm 1.2750e+01 cm 156 157
85 2.6337e+00 cm 1.3241e+01 cm 158 159
86 2.7313e+00 cm 1.3731e+01 cm 160 161
87 2.8288e+00 cm 1.4221e+01 cm 162 163
88 2.9264e+00 cm 1.4712e+01 cm 164 165
89 0.0000e+00 cm 1.0000e+01 cm -12 166
90 0.0000e+00 cm 1.0500e+01 cm -13 167
91 0.0000e+00 cm 1.1000e+01 cm -14 168
92 0.0000e+00 cm 1.1500e+01 cm -15 169
93 0.0000e+00 cm 1.2000e+01 cm -16 170
94 0.0000e+00 cm 1.2500e+01 cm -17 171
95 0.0000e+00 cm 1.3000e+01 cm -18 172
96 0.0000e+00 cm 1.3500e+01 cm -19 173
97 0.0000e+00 cm 1.4000e+01 cm -20 174
98 0.0000e+00 cm 1.4500e+01 cm -21 175
99 0.0000e+00 cm 1.5000e+01 cm -22 176
==========================================================================================
Element# Type node[1] node[2] node[3] node[4] Element_Attr_Name
==========================================================================================
1 PLANE_STRAIN 1 2 13 12 pipe
2 PLANE_STRAIN 2 3 14 13 pipe
3 PLANE_STRAIN 3 4 15 14 pipe
4 PLANE_STRAIN 4 5 16 15 pipe
5 PLANE_STRAIN 5 6 17 16 pipe
6 PLANE_STRAIN 6 7 18 17 pipe
7 PLANE_STRAIN 7 8 19 18 pipe
8 PLANE_STRAIN 8 9 20 19 pipe
9 PLANE_STRAIN 9 10 21 20 pipe
10 PLANE_STRAIN 10 11 22 21 pipe
11 PLANE_STRAIN 12 13 24 23 pipe
12 PLANE_STRAIN 13 14 25 24 pipe
13 PLANE_STRAIN 14 15 26 25 pipe
14 PLANE_STRAIN 15 16 27 26 pipe
15 PLANE_STRAIN 16 17 28 27 pipe
16 PLANE_STRAIN 17 18 29 28 pipe
17 PLANE_STRAIN 18 19 30 29 pipe
18 PLANE_STRAIN 19 20 31 30 pipe
19 PLANE_STRAIN 20 21 32 31 pipe
20 PLANE_STRAIN 21 22 33 32 pipe
21 PLANE_STRAIN 23 24 35 34 pipe
22 PLANE_STRAIN 24 25 36 35 pipe
23 PLANE_STRAIN 25 26 37 36 pipe
24 PLANE_STRAIN 26 27 38 37 pipe
25 PLANE_STRAIN 27 28 39 38 pipe
26 PLANE_STRAIN 28 29 40 39 pipe
27 PLANE_STRAIN 29 30 41 40 pipe
28 PLANE_STRAIN 30 31 42 41 pipe
29 PLANE_STRAIN 31 32 43 42 pipe
30 PLANE_STRAIN 32 33 44 43 pipe
31 PLANE_STRAIN 34 35 46 45 pipe
32 PLANE_STRAIN 35 36 47 46 pipe
33 PLANE_STRAIN 36 37 48 47 pipe
34 PLANE_STRAIN 37 38 49 48 pipe
35 PLANE_STRAIN 38 39 50 49 pipe
36 PLANE_STRAIN 39 40 51 50 pipe
37 PLANE_STRAIN 40 41 52 51 pipe
38 PLANE_STRAIN 41 42 53 52 pipe
39 PLANE_STRAIN 42 43 54 53 pipe
40 PLANE_STRAIN 43 44 55 54 pipe
41 PLANE_STRAIN 45 46 57 56 pipe
42 PLANE_STRAIN 46 47 58 57 pipe
43 PLANE_STRAIN 47 48 59 58 pipe
44 PLANE_STRAIN 48 49 60 59 pipe
45 PLANE_STRAIN 49 50 61 60 pipe
46 PLANE_STRAIN 50 51 62 61 pipe
47 PLANE_STRAIN 51 52 63 62 pipe
48 PLANE_STRAIN 52 53 64 63 pipe
49 PLANE_STRAIN 53 54 65 64 pipe
50 PLANE_STRAIN 54 55 66 65 pipe
51 PLANE_STRAIN 56 57 68 67 pipe
52 PLANE_STRAIN 57 58 69 68 pipe
53 PLANE_STRAIN 58 59 70 69 pipe
54 PLANE_STRAIN 59 60 71 70 pipe
55 PLANE_STRAIN 60 61 72 71 pipe
56 PLANE_STRAIN 61 62 73 72 pipe
57 PLANE_STRAIN 62 63 74 73 pipe
58 PLANE_STRAIN 63 64 75 74 pipe
59 PLANE_STRAIN 64 65 76 75 pipe
60 PLANE_STRAIN 65 66 77 76 pipe
61 PLANE_STRAIN 67 68 79 78 pipe
62 PLANE_STRAIN 68 69 80 79 pipe
63 PLANE_STRAIN 69 70 81 80 pipe
64 PLANE_STRAIN 70 71 82 81 pipe
65 PLANE_STRAIN 71 72 83 82 pipe
66 PLANE_STRAIN 72 73 84 83 pipe
67 PLANE_STRAIN 73 74 85 84 pipe
68 PLANE_STRAIN 74 75 86 85 pipe
69 PLANE_STRAIN 75 76 87 86 pipe
70 PLANE_STRAIN 76 77 88 87 pipe
71 PLANE_STRAIN 78 79 90 89 pipe
72 PLANE_STRAIN 79 80 91 90 pipe
73 PLANE_STRAIN 80 81 92 91 pipe
74 PLANE_STRAIN 81 82 93 92 pipe
75 PLANE_STRAIN 82 83 94 93 pipe
76 PLANE_STRAIN 83 84 95 94 pipe
77 PLANE_STRAIN 84 85 96 95 pipe
78 PLANE_STRAIN 85 86 97 96 pipe
79 PLANE_STRAIN 86 87 98 97 pipe
80 PLANE_STRAIN 87 88 99 98 pipe
======================
Element Attribute Data
======================
Element Attribute No 1 : name = "pipe"
: section = "pipesection"
: material = "pipematerial"
: type = PLANE_STRAIN
: Young's Modulus = E = 2.000e+02 GPa
: Poisson's ratio = nu = 3.333e-01
: Area = 9.000e-02 m^2
EXTERNAL NODAL LOADINGS
=====================================
Node# Fx (kN) Fy (kN)
=====================================
88 0.00 -3.00
99 0.00 -3.00
============= End of Finite Element Mesh Description ==============
==========================================
Node Displacement
No displ-x displ-y
==========================================
units m m
1 -2.60880e-08 0.00000e+00
2 -2.63854e-08 0.00000e+00
3 -2.65135e-08 0.00000e+00
4 -2.63598e-08 0.00000e+00
5 -2.57838e-08 0.00000e+00
6 -2.47880e-08 0.00000e+00
7 -2.35606e-08 0.00000e+00
8 -2.23520e-08 0.00000e+00
9 -2.12980e-08 0.00000e+00
10 -2.04075e-08 0.00000e+00
11 -1.96520e-08 0.00000e+00
12 -8.07155e-09 -8.50341e-09
13 -9.49000e-09 -1.04811e-08
14 -1.10280e-08 -1.16295e-08
15 -1.27182e-08 -1.26025e-08
16 -1.44714e-08 -1.34877e-08
17 -1.60259e-08 -1.41225e-08
18 -1.70517e-08 -1.42327e-08
19 -1.74130e-08 -1.36586e-08
20 -1.73016e-08 -1.25598e-08
21 -1.70076e-08 -1.12890e-08
22 -1.66849e-08 -1.01144e-08
23 2.49919e-09 -2.22683e-08
24 1.73373e-09 -2.17121e-08
25 6.57339e-10 -2.26026e-08
26 -6.50991e-10 -2.38778e-08
27 -2.39539e-09 -2.51974e-08
28 -4.76384e-09 -2.62996e-08
29 -7.62976e-09 -2.68417e-08
30 -1.03608e-08 -2.63668e-08
31 -1.22566e-08 -2.45953e-08
32 -1.32732e-08 -2.18941e-08
33 -1.38381e-08 -1.90121e-08
34 1.75291e-09 -2.53094e-08
35 2.62355e-09 -2.50082e-08
36 2.80307e-09 -2.58502e-08
37 2.63827e-09 -2.76164e-08
38 2.28679e-09 -2.99728e-08
39 1.55220e-09 -3.26280e-08
40 -5.55173e-11 -3.51093e-08
41 -2.91095e-09 -3.65821e-08
42 -6.34633e-09 -3.59138e-08
43 -8.98647e-09 -3.26505e-08
44 -1.05461e-08 -2.80489e-08
45 4.15811e-10 -2.52946e-08
46 1.31558e-09 -2.52558e-08
47 1.98393e-09 -2.58728e-08
48 2.26323e-09 -2.74066e-08
49 2.37917e-09 -2.98187e-08
50 2.49822e-09 -3.30983e-08
51 2.52400e-09 -3.72080e-08
52 1.78114e-09 -4.16742e-08
53 -8.35380e-10 -4.47419e-08
54 -4.57928e-09 -4.34579e-08
55 -7.24643e-09 -3.74928e-08
56 -7.20123e-11 -2.50480e-08
57 4.57536e-10 -2.50625e-08
58 1.06906e-09 -2.54814e-08
59 1.46026e-09 -2.66648e-08
60 1.63641e-09 -2.86986e-08
61 1.78007e-09 -3.16432e-08
62 2.03431e-09 -3.57366e-08
63 2.49928e-09 -4.13746e-08
64 2.35445e-09 -4.85268e-08
65 -5.49360e-10 -5.31546e-08
66 -4.24929e-09 -4.80767e-08
67 -1.31588e-10 -2.49411e-08
68 9.83279e-11 -2.49152e-08
69 4.96276e-10 -2.51989e-08
70 8.22817e-10 -2.61448e-08
71 9.92090e-10 -2.78876e-08
72 1.08199e-09 -3.04803e-08
73 1.21991e-09 -3.41120e-08
74 1.45817e-09 -3.92624e-08
75 2.30621e-09 -4.70815e-08
76 2.20042e-09 -5.91356e-08
77 -1.82060e-09 -6.13087e-08
78 -7.09248e-11 -2.49257e-08
79 2.57667e-13 -2.48494e-08
80 1.85174e-10 -2.50477e-08
81 3.61986e-10 -2.58604e-08
82 4.64136e-10 -2.74396e-08
83 5.14090e-10 -2.98344e-08
84 5.64605e-10 -3.31998e-08
85 6.99001e-10 -3.79607e-08
86 7.79855e-10 -4.48827e-08
87 2.39583e-09 -5.76913e-08
88 -3.17477e-10 -8.10595e-08
89 0.00000e+00 -2.49295e-08
90 0.00000e+00 -2.48330e-08
91 0.00000e+00 -2.50015e-08
92 0.00000e+00 -2.57711e-08
93 0.00000e+00 -2.72971e-08
94 0.00000e+00 -2.96300e-08
95 0.00000e+00 -3.29110e-08
96 0.00000e+00 -3.75224e-08
97 0.00000e+00 -4.45024e-08
98 0.00000e+00 -5.45846e-08
99 0.00000e+00 -9.30605e-08
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)
===============================================
1 2.265e+04 4688 -5.827e+04 -4.039e+04
2 1.51e+04 2246 -7.922e+04 -6.638e+04
3 1.92e+04 5341 -1.024e+05 -8.854e+04
4 3.071e+04 1.48e+04 -1.222e+05 -1.063e+05
5 4.004e+04 2.453e+04 -1.261e+05 -1.105e+05
6 3.855e+04 2.792e+04 -1.055e+05 -9.484e+04
7 2.695e+04 2.406e+04 -6.928e+04 -6.629e+04
8 1.489e+04 1.813e+04 -3.828e+04 -4.139e+04
9 8350 1.393e+04 -2.202e+04 -2.748e+04
10 5806 1.126e+04 -1.489e+04 -2.023e+04
11 3131 3.752e+04 7.548e+04 4.222e+04
12 2.878e+04 4.221e+04 7.402e+04 6.094e+04
13 3.304e+04 4.096e+04 6.927e+04 6.152e+04
14 3.717e+04 3.763e+04 4.454e+04 4.419e+04
15 4.878e+04 3.463e+04 -6240 7995
16 6.45e+04 3.262e+04 -6.82e+04 -3.625e+04
17 7.024e+04 3.095e+04 -1.021e+05 -6.265e+04
18 5.78e+04 2.887e+04 -8.572e+04 -5.652e+04
19 3.937e+04 2.614e+04 -5.044e+04 -3.68e+04
20 2.795e+04 2.286e+04 -3.023e+04 -2.469e+04
21 -8.521e+04 -3.933e+04 5.023e+04 4294
22 -5.173e+04 -1.482e+04 5.494e+04 1.821e+04
23 -2.626e+04 3975 7.039e+04 4.009e+04
24 -1.922e+04 1.506e+04 9.71e+04 6.253e+04
25 -1.877e+04 1.988e+04 1.168e+05 7.769e+04
26 -7971 1.854e+04 9.689e+04 6.973e+04
27 2.341e+04 1.136e+04 1.582e+04 2.724e+04
28 5.312e+04 5827 -6.861e+04 -2.162e+04
29 5.093e+04 9713 -7.547e+04 -3.393e+04
30 3.357e+04 1.539e+04 -4.068e+04 -2.176e+04
31 -1.182e+04 -1.224e+04 -9636 -9400
32 -3.969e+04 -1.978e+04 2804 -1.692e+04
33 -3.224e+04 -1.425e+04 6960 -1.08e+04
34 -2.082e+04 -3652 2.055e+04 3439
35 -2.056e+04 8495 5.383e+04 2.451e+04
36 -3.298e+04 2.127e+04 1.08e+05 5.291e+04
37 -4.043e+04 2.641e+04 1.418e+05 7.341e+04
38 -7509 7710 6.587e+04 4.874e+04
39 3.715e+04 -1.205e+04 -5.156e+04 -3283
40 3.49e+04 385.2 -5.373e+04 -1.84e+04
41 1.28e+04 -4786 -1.887e+04 -1346
42 -1.019e+04 -1.206e+04 -1.526e+04 -1.323e+04
43 -2.238e+04 -1.592e+04 -1.307e+04 -1.922e+04
44 -1.802e+04 -1.412e+04 -1.3e+04 -1.657e+04
45 -1.008e+04 -8276 -7897 -9400
46 -8284 1501 1.186e+04 2158
47 -2.658e+04 2.408e+04 7.873e+04 2.735e+04
48 -5.363e+04 4.524e+04 1.637e+05 6.218e+04
49 -1.502e+04 2674 6.784e+04 4.64e+04
50 2.697e+04 -2.241e+04 -5.371e+04 -4756
51 1.244e+04 -3356 -1.232e+04 3503
52 1448 -9526 -1.654e+04 -5441
53 -1.133e+04 -1.424e+04 -1.741e+04 -1.428e+04
54 -1.562e+04 -1.55e+04 -1.711e+04 -1.696e+04
55 -1.156e+04 -1.396e+04 -1.706e+04 -1.433e+04
56 -4935 -1.056e+04 -1.582e+04 -9778
57 3023 -8716 -1.684e+04 -4667
58 -1.9e+04 3.031e+04 6.417e+04 1.441e+04
59 -6.031e+04 6.573e+04 1.894e+05 5.79e+04
60 344.3 -3.602e+04 -1458 2.977e+04
61 7390 -1620 -4862 4197
62 3417 -8741 -1.314e+04 -897
63 -5712 -1.429e+04 -1.778e+04 -9068
64 -1.212e+04 -1.607e+04 -1.818e+04 -1.406e+04
65 -1.243e+04 -1.493e+04 -1.666e+04 -1.397e+04
66 -8179 -1.347e+04 -1.634e+04 -1.079e+04
67 -3410 -9673 -1.339e+04 -6768
68 1.507e+04 -2.888e+04 -4.696e+04 -2227
69 -2.419e+04 7.135e+04 1.076e+05 1.151e+04
70 -4.683e+04 -1.337e+04 1.358e+05 8.56e+04
71 4096 -118.9 -721.3 3514
72 2526 -8594 -9932 1219
73 -4431 -1.523e+04 -1.657e+04 -5732
74 -1.065e+04 -1.714e+04 -1.807e+04 -1.152e+04
75 -1.233e+04 -1.586e+04 -1.65e+04 -1.29e+04
76 -1e+04 -1.373e+04 -1.447e+04 -1.067e+04
77 -5135 -1.407e+04 -1.568e+04 -6606
78 -2319 -8631 -8467 -2196
79 3.221e+04 -6.432e+04 -9.025e+04 8616
80 -3.541e+04 1.081e+05 2.16e+05 5.998e+04
Developed in February 1998 by Mark Austin
Last Modified February 21, 1998
Copyright © 1998, Mark Austin,
Department of Civil Engineering,
University of Maryland