TITLE test FILENAMES Data file used for this run: sample.dat Name of this output file : sample.out INITIAL DATA Number of layers = 3 Wheel load = 9000.0 lb. Tire pressure = 100.00 psi. Radius of loaded area (a) = 5.352 inches FATIGUE LIFE & RUT DEPTH DATA Average annual temperature = 77.00 (Fahrenheit) Percent air voids in asphalt mix = 3.00 Kinematic viscosity = 120.00 centistoke LAYER TYPE 1 asphalt; 2 granular; 3 cohesive Layer number (from top) Type (1,2,or3) 1 1 2 2 3 3 1 MATERIAL PROPERTIES ASPHALT MATERIAL PROPERTIES Layer Name of Layer Thickness Modulus Poisson's Density Ko (inches) (psi) ratio (lb/cu.ft) 1 AC 6.0 500000.0 .35 100.0 .40 GRANULAR MATERIAL PROPERTIES Layer Name of Layer Thick. Ko K1 K2 PR. Cohesion Phi Density inches (psi) (psf) (degree) (pcf) 2 Base 12.0 .40 1620.0 .62 .40 0. 30.0 100.0 COHESIVE MATERIAL PROPERTIES Layer Name of Thick. Ko K1 K2 K3 K4 PR. Coh. Phi Dens. Layer (in.) (psi) (psi) (psf) (deg) (pcf) 3 Subgrade 32.0 .40 6.0 3020.0 1110.0 178. .45 800. .0 100.0 Layer 3 actually semi-infinite, but thickness controls depth to which displacements/stresses are computed. CROSS SECTIONS FOR CALCULATION OF RESULTS Number of horizontal sections = 3 Number of vertical sections = 1 Depth for horizontal sections (inches) = .00 6.00 18.00 Radial distance for vertical sections (inches) = .00 DIVISION OF FINITE ELEMENT MESH Number of elements in vertical direction Layer Thickness Number of elements 1. AC 6.0 4 2. Base 12.0 4 3. Subgrade 32.0 5 Number of elements in horizontal direction Range (a: contact radius) Number of elements 1. R = 0 - a 4 2. R = a - 3a 4 3. R = 3a - 6a 3 4. R = 6a - 10a 2 ____________________________________________________________________________________________________________________________________ FINAL DISPLACEMENTS, STRESSES AND STRAINS Horizontal section 1 at depth of .00 inches Displacements Stresses Strains R. dist. R. disp. Vert. disp. R. strs. Tang. strs. Vert. strs. Shear strs. R. stns. Tang. stns. Vert. stns. Shear stns. .0 .0000E+00 -.2741E-01 .7 -.1858E-03 -.2734E-01 -306.37 -306.372 -100.000 7.081 -.2777E-03 -.2777E-03 .8454E-04 .3824E-04 2.0 -.5430E-03 -.2707E-01 -290.25 -295.599 -100.000 7.903 -.2561E-03 -.2705E-03 .7438E-04 .4268E-04 3.3 -.8642E-03 -.2659E-01 -267.01 -279.713 -100.000 13.025 -.2240E-03 -.2583E-03 .5647E-04 .7033E-04 4.7 -.1132E-02 -.2582E-01 -214.39 -238.585 -100.000 38.792 -.1764E-03 -.2417E-03 .7318E-04 .2095E-03 6.7 -.1386E-02 -.2444E-01 -125.16 -164.203 -47.971 23.298 -.1018E-03 -.2072E-03 .1066E-03 .1258E-03 9.4 -.1578E-02 -.2267E-01 -67.00 -114.031 -18.113 9.176 -.4150E-04 -.1685E-03 .9050E-04 .4955E-04 12.0 -.1637E-02 -.2098E-01 -36.22 -85.597 -14.129 7.754 -.2641E-05 -.1359E-03 .5702E-04 .4187E-04 14.7 -.1607E-02 -.1935E-01 -11.70 -61.508 -8.092 5.924 .2533E-04 -.1092E-03 .3506E-04 .3199E-04 18.7 -.1468E-02 -.1714E-01 4.57 -39.015 -4.112 3.978 .3932E-04 -.7835E-04 .1589E-04 .2148E-04 24.1 -.1219E-02 -.1458E-01 20.78 -17.858 .000 1.886 .5371E-04 -.5060E-04 -.1074E-05 .1018E-04 29.4 -.9162E-03 -.1258E-01 30.43 -3.071 .000 1.913 .5932E-04 -.3112E-04 -.8624E-05 .1033E-04 37.5 -.5595E-03 -.1070E-01 19.06 -.170 .000 .695 .3699E-04 -.1493E-04 -.9649E-05 .3754E-05 48.2 -.1808E-03 -.9353E-02 20.27 6.368 .000 -.313 .3377E-04 -.3752E-05 -.1207E-04 -.1690E-05 Horizontal section 2 at depth of 6.00 inches Displacements Stresses Strains R. dist. R. disp. Vert. disp. R. strs. Tang. strs. Vert. strs. Shear strs. R. stns. Tang. stns. Vert. stns. Shear stns. .7 .2052E-03 -.2676E-01 -2.65 -1.168 -7.892 .267 .3068E-03 .3068E-03 -.8611E-03 .1229E-03 2.0 .5958E-03 -.2651E-01 -1.44 -2.570 -7.620 .757 .2771E-03 .2969E-03 -.8330E-03 .2815E-03 3.3 .9407E-03 -.2607E-01 -1.67 -2.424 -7.061 1.086 .2384E-03 .2812E-03 -.7856E-03 .4284E-03 4.7 .1227E-02 -.2547E-01 -1.91 -2.233 -6.376 1.243 .1890E-03 .2619E-03 -.7242E-03 .5315E-03 6.7 .1494E-02 -.2433E-01 -2.34 -1.971 -5.474 1.255 .1050E-03 .2233E-03 -.6214E-03 .6173E-03 9.4 .1681E-02 -.2267E-01 -2.37 -1.771 -4.769 1.267 .3514E-04 .1795E-03 -.4964E-03 .6130E-03 12.0 .1719E-02 -.2098E-01 -2.27 -1.666 -4.042 1.132 -.6662E-05 .1428E-03 -.3981E-03 .5651E-03 14.7 .1667E-02 -.1934E-01 -2.04 -1.505 -3.318 .920 -.3210E-04 .1133E-03 -.3238E-03 .5013E-03 18.7 .1509E-02 -.1714E-01 -1.59 -1.199 -2.443 .658 -.4316E-04 .8055E-04 -.2435E-03 .4114E-03 24.1 .1244E-02 -.1458E-01 -1.16 -.879 -1.651 .405 -.5578E-04 .5166E-04 -.1612E-03 .3054E-03 29.4 .9331E-03 -.1258E-01 -.92 -.706 -1.241 .233 -.6048E-04 .3170E-04 -.1112E-03 .2041E-03 37.5 .5689E-03 -.1070E-01 -.57 -.473 -.848 .106 -.3781E-04 .1518E-04 -.7441E-04 .1135E-03 48.2 .1832E-03 -.9352E-02 -.45 -.391 -.685 .032 -.3424E-04 .3804E-05 -.4843E-04 .3844E-04 Horizontal section 3 at depth of 18.00 inches Displacements Stresses Strains R. dist. R. disp. Vert. disp. R. strs. Tang. strs. Vert. strs. Shear strs. R. stns. Tang. stns. Vert. stns. Shear stns. .7 .9535E-04 -.1848E-01 -.86 -.858 -3.652 .081 .1425E-03 .1425E-03 -.3385E-03 .3611E-04 2.0 .2833E-03 -.1841E-01 -.90 -.883 -3.654 .192 .1383E-03 .1411E-03 -.3337E-03 .8514E-04 3.3 .4636E-03 -.1828E-01 -.95 -.919 -3.650 .309 .1313E-03 .1386E-03 -.3253E-03 .1360E-03 4.7 .6326E-03 -.1809E-01 -1.03 -.964 -3.636 .421 .1213E-03 .1351E-03 -.3130E-03 .1845E-03 6.7 .8495E-03 -.1769E-01 -1.21 -1.090 -3.638 .561 .1014E-03 .1270E-03 -.2890E-03 .2427E-03 9.4 .1083E-02 -.1703E-01 -1.41 -1.213 -3.569 .712 .7288E-04 .1156E-03 -.2517E-03 .3021E-03 12.0 .1238E-02 -.1626E-01 -1.61 -1.317 -3.451 .811 .4303E-04 .1028E-03 -.2102E-03 .3365E-03 14.7 .1315E-02 -.1541E-01 -1.75 -1.385 -3.279 .871 .1457E-04 .8934E-04 -.1673E-03 .3523E-03 18.7 .1293E-02 -.1416E-01 -1.90 -1.468 -3.036 .834 -.1545E-04 .6903E-04 -.1143E-03 .3243E-03 24.1 .1145E-02 -.1260E-01 -1.91 -1.436 -2.642 .754 -.3984E-04 .4754E-04 -.6032E-04 .2800E-03 29.4 .9081E-03 -.1126E-01 -1.75 -1.301 -2.234 .621 -.4873E-04 .3085E-04 -.2401E-04 .2214E-03 37.5 .5493E-03 -.9894E-02 -1.44 -1.100 -1.818 .392 -.4267E-04 .1466E-04 -.1063E-05 .1332E-03 48.2 .1605E-03 -.8854E-02 -1.10 -.897 -1.491 .144 -.2998E-04 .3331E-05 .8430E-05 .4728E-04 Vertical section 1 at radial distance of .00 inches Displacements Stresses Strains Depth R. disp. Vert. disp. R. strs. Tang. strs. Vert. strs. Shear strs. R. stns. Tang. stns. Vert. stns. Shear stn. .0 .0000E+00 -.2741E-01 -271.16 -271.16 -100.00 .00 -.2777E-03 -.2777E-03 .2007E-03 .0000E+00 -.8 .0000E+00 -.2748E-01 -195.01 -195.01 -92.31 .00 -.1889E-03 -.1889E-03 .8845E-04 .0000E+00 -2.3 .0000E+00 -.2751E-01 -66.80 -66.80 -74.29 .00 -.3486E-04 -.3486E-04 -.5488E-04 .0000E+00 -3.8 .0000E+00 -.2735E-01 46.33 46.33 -42.99 .00 .9028E-04 .9028E-04 -.1505E-03 .0000E+00 -5.3 .0000E+00 -.2703E-01 164.80 164.80 -20.42 .00 .2285E-03 .2285E-03 -.2711E-03 .0000E+00 -6.0 .0000E+00 -.2683E-01 232.44 232.44 -13.98 .00 .3068E-03 .3068E-03 -.3635E-03 .0000E+00 -6.0 .0000E+00 -.2683E-01 -2.94 -2.12 -13.98 .00 .3068E-03 .3068E-03 -.9346E-03 .0000E+00 -7.5 .0000E+00 -.2553E-01 -2.64 -1.85 -7.90 .00 .2866E-03 .2866E-03 -.8700E-03 .0000E+00 -10.5 .0000E+00 -.2310E-01 -2.19 -1.58 -6.57 .00 .2446E-03 .2446E-03 -.7476E-03 .0000E+00 -13.5 .0000E+00 -.2103E-01 -1.90 -1.50 -5.68 .00 .2010E-03 .2010E-03 -.6332E-03 .0000E+00 -16.5 .0000E+00 -.1929E-01 -1.68 -1.43 -5.04 .00 .1609E-03 .1609E-03 -.5256E-03 .0000E+00 -18.0 .0000E+00 -.1850E-01 -1.59 -1.35 -4.82 .00 .1425E-03 .1425E-03 -.4739E-03 .0000E+00 -18.0 .0000E+00 -.1850E-01 -1.86 -1.86 -4.82 .00 .1425E-03 .1425E-03 -.3901E-03 .0000E+00 -21.2 .0000E+00 -.1741E-01 -1.66 -1.66 -4.50 .00 .1271E-03 .1271E-03 -.3399E-03 .0000E+00 -27.6 .0000E+00 -.1552E-01 -1.46 -1.46 -4.05 .00 .9617E-04 .9617E-04 -.2523E-03 .0000E+00 -34.0 .0000E+00 -.1412E-01 -1.45 -1.45 -3.86 .00 .6925E-04 .6925E-04 -.1845E-03 .0000E+00 -40.4 .0000E+00 -.1308E-01 -1.54 -1.54 -3.87 .00 .5046E-04 .5046E-04 -.1394E-03 .0000E+00 -46.8 .0000E+00 -.1229E-01 -1.57 -1.57 -3.91 .00 .3872E-04 .3872E-04 -.1080E-03 .0000E+00 -50.0 .0000E+00 -.1195E-01 -1.58 -1.58 -3.93 .00 .3441E-04 .3441E-04 -.9233E-04 .0000E+00 ____________________________________________________________________________________________________________________________________ TECHNICAL INFORMATION Total number of elements = 169 Total number of nodes = 196 Number of equations = 364 Bandwidth = 30 Number of iterations to reach convergence = 3 Elastic modulus of spring along bottom boundary = 7169.7 psi Poisson's ratio of spring = .45 Relative error of convergence = .20859E-03 EQUIVALENT RESILIENT MODULUS FOR EACH LAYER Layer Name Modulus (Psi.) 1 AC 500000. 2 Base 6280. 3 Subgrade 7084. TABLE OF ELEMENTS ABOUT FINITE ELEMENT MESH 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 TABLE OF FINAL RESILIENT MODULI .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .500E+06 .765E+04 .756E+04 .733E+04 .702E+04 .662E+04 .595E+04 .561E+04 .514E+04 .447E+04 .371E+04 .320E+04 .261E+04 .230E+04 .686E+04 .680E+04 .668E+04 .652E+04 .623E+04 .577E+04 .538E+04 .511E+04 .459E+04 .395E+04 .344E+04 .294E+04 .261E+04 .634E+04 .631E+04 .624E+04 .613E+04 .595E+04 .562E+04 .533E+04 .515E+04 .473E+04 .417E+04 .370E+04 .322E+04 .289E+04 .596E+04 .595E+04 .590E+04 .584E+04 .574E+04 .553E+04 .543E+04 .524E+04 .490E+04 .438E+04 .394E+04 .347E+04 .315E+04 .654E+04 .656E+04 .658E+04 .662E+04 .670E+04 .683E+04 .699E+04 .717E+04 .746E+04 .781E+04 .814E+04 .853E+04 .885E+04 .681E+04 .682E+04 .684E+04 .686E+04 .692E+04 .701E+04 .711E+04 .724E+04 .744E+04 .771E+04 .797E+04 .829E+04 .857E+04 .701E+04 .702E+04 .703E+04 .705E+04 .708E+04 .714E+04 .722E+04 .731E+04 .746E+04 .767E+04 .786E+04 .810E+04 .826E+04 .710E+04 .710E+04 .711E+04 .712E+04 .714E+04 .719E+04 .725E+04 .731E+04 .743E+04 .760E+04 .776E+04 .792E+04 .794E+04 .707E+04 .707E+04 .708E+04 .708E+04 .709E+04 .713E+04 .718E+04 .722E+04 .730E+04 .745E+04 .757E+04 .773E+04 .765E+04 TABLE OF FAILURE ELEMENTS DUE TO MOHR-COULOMB FAILURE AND TENSILE FAILURE ( 0 : no failure ; 1 : failure) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ____________________________________________________________________________________________________________________________________ FATIGUE LIFE & RUT DEPTH DATA Average annual temperature = 77.00 (Fahrenheit) Percent air voids in asphalt mix = 3.00 Kinematic viscosity = 120.00 centistoke DESIGN SUMMARY Maximum tensile (radial) strain in the asphalt layer = 3.068E-04 Average compressive (vertical) strain in the asphalt layer = 9.662E-05 Maximum compressive (vertical) strain at top of subgrade = 3.901E-04 Fatigue life of asphalt pavement = 7.146E+05 ESAL applications. Total expected rut depth of the pavement = 5.20851E-01 inches Expected rut depth in the asphalt course = 3.31376E-02 inches Expected rut depth in the base and/or subbase course = 1.63278E-01 inches Expected rut depth in the roadbed soil = 3.24435E-01 inches Caution: Thermal cracking of the pavement needs to beevaluated.