=========================================================================== 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