**************************************************************************** **************************************************************************** ** ** ** KENTRACK, A FINITE ELEMENT COMPUTER PROGRAM FOR ** ** ** ** THE ANALYSIS OF RAILROAD TRACKS ** ** ** **************************************************************************** **************************************************************************** ******************* * * * INPUT DATA : * * * ******************* Asp Lo-36000 SM-12000 SYSTEM OF UNIT: 1.000000 ++++++++ + RAIL + ++++++++ SECTION MODULUS OF RAIL --------------------- (RSM) = 22.50 MOMENT OF INERTIA OF RAIL ------------------ (RMOI) = 88.20 ELASTIC MODULUS OF RAIL --------------------- (RYM) = .3000E+08 SPRING CONSTANT BETWEEN RAIL AND TIE -------- (RTK) = .7000E+07 +++++++ + TIE + +++++++ THICKNESS OF TIE -------------------------- (THIGH) = 7.0000 MOMENT OF INERTIA OF TIE ------------------- (TMOI) = 257.25 WIDTH OF TIE ------------------------------- (TWID) = 9.0000 CENTER TO CENTER TIE SPACING --------------- (TSPA) = 20.0000 ELASTIC MODULUS OF TIE ---------------------- (TYM) = .1500E+07 NON-UNIFORM TIE --------------------------- (NONUT) = 0 TOTAL NUMBER OF NODAL POINTS IN TRANSVERSE DIRECTION ------------------- (NPTD) = 7 LOCATION NUMBER OF RAIL ON TIE ------------- (LNRT) = 4 DISTANCES FROM NODAL POINTS TO FIRST NODAL POINT(EDGE) ------------- (Y(NPTD)) = .0000 15.0000 25.0830 35.1670 45.2500 60.1250 75.0000 THICHNESS AND MOMENT OF INERTIA AT EACH NODAL POINT IN TIE : NODAL POINT THICKNESS MOMENT OF INERTIA (I) (THIGHP(I)) (TMOIP(I)) 1 7.0000 257.25 2 7.0000 257.25 3 7.0000 257.25 4 7.0000 257.25 5 7.0000 257.25 6 7.0000 257.25 MOMENT OF INERTIA FOR EACH ELEMENT IN TIE : ELEMENT NO. MOMENT OF INERTIA (I) (TMOIE(I)) 1 257.25 2 257.25 3 257.25 4 257.25 5 257.25 +++++++++++ + OPTIONS + +++++++++++ NUMBER OF LOADS --------------------------- (NLOAD) = 2 NUMBER OF MONTHS FOR OUTPUT --------------- (NMOUT) = 1 NUMBER OF TIES FOR ANALYSIS ----------------- (NTA) = 6 LAYERED SYSTEM MODEL ---------------------- (LAYER) = 1 NUMBER OF MONTHS FOR ANALYSIS --------------- (NMA) = 4 DAMAGE ANALYSIS --------------------------- (IDAMA) = 1 NUMBER OF LAYERS FOR TENSILE STRAIN ANALYSIS ------------------------------- (NLBT) = 1 NUMBER OF LAYERS FOR COMPRESSIVE STRESS (OR STRAIN) ANALYSIS ------------------- (NLTC) = 1 BEGINNING TIE NUMBER FOR ANALYSIS ----------- (NBT) = 3 ENDING TIE NUMBER FOR ANALYSIS -------------- (NET) = 6 NUMBER OF CROSS SECTIONS(TIES) FOR OUTPUT - (NXOUT) = 2 +++++++++ + LOADS + +++++++++ LOAD DISTANCE FROM MAGNITUDE NUMBER FIRST TIE OF LOAD (I) (QXD(I)) (Q(I)) 1 40.0000 36000.00 2 110.0000 36000.00 ++++++++++++++++++ + OUTPUT CONTROL + ++++++++++++++++++ MONTH NUMBERS FOR OUTPUT(MNOUT(NMOUT)) ARE : 1 CROSS SECTION NUMBERS FOR OUTPUT(IXOUT(NXOUT)) ARE : 3 6 ++++++++++++++++++++++++ + LAYERED SYSTEM MODEL + ++++++++++++++++++++++++ NUMBER OF LAYERS IN THIS SYSTEM ------------- (NLS) = 4 NUMBER OF ASPHALT LAYERS ----------------- (NLTEMP) = 1 TOLERANCE FOR VERTICAL DEFLECTION --------- (TORVD) = .1000E-04 TOLERANCE FOR TENSILE STRESS -------------- (TORTS) = .1000E-01 LAYER NUMBER ------------------------- (I) : 1 2 3 4 NONLINEAR COEF. FOR PERIOD 1 - (K1( 1,I)) : .7000E+04 .6000E+06 .1200E+05 .1000E+20 NONLINEAR COEF. FOR PERIOD 2 - (K1( 2,I)) : .7000E+04 .6000E+06 .1200E+05 .1000E+20 NONLINEAR COEF. FOR PERIOD 3 - (K1( 3,I)) : .7000E+04 .6000E+06 .1200E+05 .1000E+20 NONLINEAR COEF. FOR PERIOD 4 - (K1( 4,I)) : .7000E+04 .6000E+06 .1200E+05 .1000E+20 NONLINEAR EXPONENT --------------- (K2(I)) : .5000 .0000 .0000 .0000 POISSON'S RATIO ------------------ (PR(I)) : .3500 .4500 .4000 .5000 THICKNESS OF LAYERS ------------ (HIGH(I)) : 8.0000 6.0000 200.0000 +++++++++++++++++++ + HOT MIX ASPHALT + +++++++++++++++++++ LAYER NO. FOR TEMP. ANALYSIS -- (LNTEMP(NLTEMP)) : 2 TEMPERATURE FOR PERIOD 1 ---- (TEMP( 1,NLTEMP)) : 50.0000 TEMPERATURE FOR PERIOD 2 ---- (TEMP( 2,NLTEMP)) : 63.0000 TEMPERATURE FOR PERIOD 3 ---- (TEMP( 3,NLTEMP)) : 37.0000 TEMPERATURE FOR PERIOD 4 ---- (TEMP( 4,NLTEMP)) : 22.0000 AGGREGATE PASSING =200 SIEVE(() - (P200(NLTEMP)) : 5.5000 VOLUME OF VOID(() ----------------- (VA(NLTEMP)) : 5.7000 VOLUME OF BITUMEN(() -------------- (VB(NLTEMP)) : 13.5000 ASPHALT VISCOSITY AT 70"F (10**6 POISES) -------------- (AVIS(NLTEMP)) : 2.5000 EXPECTED LOADING FREQUENCY(HZ) --- (FRE(NLTEMP)) : 1.0000 +++++++++++++++++++++++++++++++++++++ + PARAMETERS FOR NONLINEAR ANALYSIS + +++++++++++++++++++++++++++++++++++++ UNIT WEIGHT OF RAIL ------------------------ (RGAM) = 3.7800 UNIT WEIGHT OF TIE ------------------------- (TGAM) = .0290 UNIT WEIGHT OF CRIBBINGS ------------------- (CGAM) = .0640 TOLERANCE FOR NONLINEAR ANALYSIS ----------- (TORN) = .0100 LAYER NUMBER ------------------------- (I) : 1 2 3 4 ASSUMED ELASTIC MODULUS ------- (AYMNA(I)) : .2000E+05 .6000E+06 .1200E+05 .1000E+20 UNIT WEIGHT --------------------- (GAM(I)) : .0640 .0870 .0780 MIN. VALUE OF ELASTIC MODULUS -- (EMIN(I)) : .1500E+05 .6000E+06 .1200E+05 COEF. OF LATERAL STRESS -------- (KNOT(I)) : .8000 .5000 .5000 LAYERS FOR TENSILE STRESS(OR STRAIN) ANALYSIS (LNBT(NLBT)) ARE : 2 LAYERS FOR COMPRESSIVE STRESS(OR STRAIN) ANALYSIS (LNTC(NLTC)) ARE : 3 ++++++++++++++++++++++++++++++++++ + PARAMETERS FOR DAMAGE ANALYSIS + ++++++++++++++++++++++++++++++++++ NO. OF LOAD REPETITIONS (PNLR(NMA)) ARE : 50000.00 50000.00 50000.00 50000.00 LAYER NO. FATIGUE PARAMETERS (LNBT(NLBT)) (FT4(NLBT)) (FT5(NLBT)), (FT6(NLBT)) 2 .0795 3.2910 .8530 LAYER NO. DEFORMATION PARAMETERS (LNTC(NLTC)) (FT1(NLTC)) (FT2(NLTC)) FT3(NLTC)) 3 .4837E-04 3.7340 3.5830 **ITERATION IN NONLINEAR ANALYSIS ( FOR PERIOD NO. 1 ) : ITERATION NUMBER : 1 LAYER NO. MODULUS BULK STRESS 1 .3861E+05 .3043E+02 ITERATION NUMBER : 2 LAYER NO. MODULUS BULK STRESS 1 .4099E+05 .3429E+02 ITERATION NUMBER : 3 LAYER NO. MODULUS BULK STRESS 1 .4123E+05 .3469E+02 *************** * OUTPUT LIST * *************** ++++++++++++++++++ + PERIOD NO. 1 + ++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++ + REACTION FORCES + STRESSES UNDER TIES + +++++++++++++++++++++++++++++++++++++++++ TIE NUMBER : 3 4 5 6 NODAL POINT NUMBER 2 FORCE 771.73 723.66 682.25 723.66 STRESS 7.146 6.701 6.317 6.701 NODAL POINT NUMBER 3 FORCE 3812.78 2262.76 1710.84 2935.41 STRESS 35.304 20.951 15.841 27.180 NODAL POINT NUMBER 4 FORCE 6034.47 3517.01 2633.99 4613.80 STRESS 55.875 32.565 24.389 42.720 NODAL POINT NUMBER 5 FORCE 4025.63 2419.06 1848.73 3101.68 STRESS 37.274 22.399 17.118 28.719 NODAL POINT NUMBER 6 FORCE 976.00 676.23 573.84 800.88 STRESS 9.037 6.261 5.313 7.416 NODAL POINT NUMBER 7 FORCE -31.81 218.89 255.21 92.30 STRESS -.295 2.027 2.363 .855 SUMMARY OF REACTION FORCES = 71999.98000 TRACK MODULUS U = 11961.53000 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ + DEFLECTION, STRESS + STRAIN FOR EACH CROSS SECTION + ++++++++++++++++++++++++++++++++++++++++++++++++++++++ L : LAYER NUMBER I : NODAL POINT NUMBER IN TRANSVERSE DIRECTION W : VERTICAL DEFLECTION SZ : STRESS IN Z DIRECTION SX : STRESS IN X DIRECTION SY : STRESS IN Y DIRECTION SXY : SHEAR STRESS IN XY DIRECTION S1 : MAXIMUM HORIZONTAL PRINCIPAL STRESS S2 : MINIMUM HORIZONTAL PRINCIPAL STRESS EZ : STRAIN IN Z DIRECTION EX : STRAIN IN X DIRECTION EY : STRAIN IN Y DIRECTION EXY : SHEAR STRAIN IN XY DIRECTION E1 : MAXIMUM HORIZONTAL PRINCIPAL STRAIN E2 : MINIMUN HORIZONTAL PRINCIPAL STRAIN ********************************************************************************************************************* CROSS SECTION NUMBER : 3 ++++++++ + RAIL + ++++++++ DEFLECTION OF RAIL W .0603 MOMENT OF RAIL M 184156.20 SHEAR FORCE OF RAIL ( LEFT ) Q 9575.05 SHEAR FORCE OF RAIL ( RIGHT ) Q -10820.27 MAX. BENDING STRESS OF RAIL S1 8184.72 +++++++ + TIE + +++++++ POINT VERTICAL BENDING SHEAR BENDING SHEAR NO. DEFLECTION MOMENT FORCE STRESS STRESS 2 .03964 .00 771.73 .00 18.37 3 .05070 7781.40 2678.11 105.87 63.76 4 .05802 54011.46 -200.60 734.85 -4.78 5 .05535 3740.69 -2972.90 50.89 -70.78 6 .04772 -10540.86 -472.10 -143.41 -11.24 7 .04474 -10304.35 .00 -140.20 .00 ++++++++++++++++++++++++ + TRACK SUPPORT SYSTEM + ++++++++++++++++++++++++ ***************************************************************************************************************************** +++++++++++++++++++++++ + AT BOTTOM OF LAYERS + +++++++++++++++++++++++ L I W SZ SX SY SXY S1 S2 EZ EX EY EXY E1 E2 2 1 .02739 -2.726 10.889 -20.602 -6.776 12.284 -21.998 2.36E-06 3.06E-05 -3.48E-05 -2.82E-05 3.36E-05 -3.77E-05 2 2 .03865 -6.334 57.328 38.991 -6.773 59.558 36.760 -7.12E-05 6.11E-05 2.30E-05 -2.81E-05 6.57E-05 1.84E-05 2 3 .04581 -9.358 111.377 117.758 -4.897 120.412 108.723 -1.61E-04 8.97E-05 1.03E-04 -2.04E-05 1.08E-04 8.42E-05 2 4 .05001 -10.862 139.903 159.118 -1.961 159.316 139.705 -2.08E-04 1.05E-04 1.45E-04 -8.15E-06 1.45E-04 1.04E-04 2 5 .05022 -9.656 110.954 110.089 .677 111.325 109.718 -1.56E-04 9.42E-05 9.24E-05 2.81E-06 9.50E-05 9.17E-05 2 6 .04672 -6.105 40.377 -1.666 1.936 40.466 -1.755 -3.37E-05 6.29E-05 -2.45E-05 8.05E-06 6.31E-05 -2.47E-05 2 7 .04465 -4.526 13.082 -42.344 .000 13.082 -42.344 1.24E-05 4.90E-05 -6.62E-05 -7.95E-15 4.90E-05 -6.62E-05 ***************************************************************************************************************************** ++++++++++++++++++++ + AT TOP OF LAYERS + ++++++++++++++++++++ L I W SZ SX SY SXY S1 S2 EZ EX EY EXY E1 E2 3 1 .02739 -2.726 -1.579 -2.139 -.121 -1.554 -2.164 -1.03E-04 3.07E-05 -3.48E-05 -2.82E-05 3.36E-05 -3.77E-05 3 2 .03865 -6.334 -3.218 -3.545 -.121 -3.179 -3.585 -3.02E-04 6.11E-05 2.30E-05 -2.81E-05 6.57E-05 1.84E-05 3 3 .04581 -9.358 -4.369 -4.255 -.087 -4.208 -4.416 -4.92E-04 8.97E-05 1.03E-04 -2.04E-05 1.08E-04 8.42E-05 3 4 .05001 -10.862 -4.915 -4.573 -.035 -4.570 -4.919 -5.89E-04 1.05E-04 1.45E-04 -8.15E-06 1.45E-04 1.04E-04 3 5 .05022 -9.656 -4.563 -4.579 .012 -4.557 -4.585 -5.00E-04 9.42E-05 9.24E-05 2.81E-06 9.50E-05 9.17E-05 3 6 .04672 -6.105 -3.312 -4.061 .034 -3.310 -4.062 -2.63E-04 6.29E-05 -2.45E-05 8.05E-06 6.31E-05 -2.47E-05 3 7 .04465 -4.526 -2.696 -3.683 .000 -2.696 -3.683 -1.65E-04 4.90E-05 -6.62E-05 6.25E-13 4.90E-05 -6.62E-05 ********************************************************************************************************************* CROSS SECTION NUMBER : 6 ++++++++ + RAIL + ++++++++ DEFLECTION OF RAIL W .0582 MOMENT OF RAIL M 74812.51 SHEAR FORCE OF RAIL ( LEFT ) Q 6465.18 SHEAR FORCE OF RAIL ( RIGHT ) Q 18686.74 MAX. BENDING STRESS OF RAIL S1 3325.00 +++++++ + TIE + +++++++ POINT VERTICAL BENDING SHEAR BENDING SHEAR NO. DEFLECTION MOMENT FORCE STRESS STRESS 2 .04017 .05 723.65 .00 17.23 3 .04992 7296.61 2191.36 99.27 52.18 4 .05644 44194.67 -144.81 601.29 -3.45 5 .05470 4379.98 -2397.87 59.59 -57.09 6 .04863 -8219.68 -446.59 -111.83 -10.63 7 .04614 -8906.12 .00 -121.17 .00 ++++++++++++++++++++++++ + TRACK SUPPORT SYSTEM + ++++++++++++++++++++++++ ***************************************************************************************************************************** +++++++++++++++++++++++ + AT BOTTOM OF LAYERS + +++++++++++++++++++++++ L I W SZ SX SY SXY S1 S2 EZ EX EY EXY E1 E2 2 1 .02807 -2.633 5.199 -20.534 2.782 5.497 -20.831 6.12E-06 2.24E-05 -3.11E-05 1.16E-05 2.30E-05 -3.17E-05 2 2 .03921 -5.959 40.135 34.245 .935 40.279 34.101 -5.65E-05 3.93E-05 2.70E-05 3.88E-06 3.96E-05 2.67E-05 2 3 .04616 -8.601 79.618 100.562 .288 100.566 79.614 -1.29E-04 5.48E-05 9.83E-05 1.20E-06 9.83E-05 5.48E-05 2 4 .05028 -9.888 99.982 134.162 1.336 134.214 99.929 -1.65E-04 6.31E-05 1.34E-04 5.55E-06 1.34E-04 6.30E-05 2 5 .05072 -8.872 77.717 91.929 2.570 92.379 77.267 -1.22E-04 5.78E-05 8.73E-05 1.07E-05 8.83E-05 5.69E-05 2 6 .04764 -5.792 24.784 -5.360 1.612 24.870 -5.446 -2.08E-05 4.27E-05 -1.99E-05 6.70E-06 4.29E-05 -2.01E-05 2 7 .04578 -4.416 4.747 -41.194 .000 4.747 -41.194 1.72E-05 3.62E-05 -5.92E-05 2.07E-13 3.62E-05 -5.92E-05 ***************************************************************************************************************************** ++++++++++++++++++++ + AT TOP OF LAYERS + ++++++++++++++++++++ L I W SZ SX SY SXY S1 S2 EZ EX EY EXY E1 E2 3 1 .02807 -2.633 -1.613 -2.071 .050 -1.608 -2.077 -9.66E-05 2.24E-05 -3.11E-05 1.16E-05 2.30E-05 -3.17E-05 3 2 .03921 -5.959 -3.257 -3.362 .017 -3.254 -3.364 -2.76E-04 3.93E-05 2.70E-05 3.88E-06 3.96E-05 2.67E-05 3 3 .04616 -8.601 -4.389 -4.016 .005 -4.016 -4.389 -4.37E-04 5.48E-05 9.83E-05 1.20E-06 9.83E-05 5.48E-05 3 4 .05028 -9.888 -4.923 -4.315 .024 -4.314 -4.924 -5.16E-04 6.31E-05 1.34E-04 5.55E-06 1.34E-04 6.30E-05 3 5 .05072 -8.872 -4.590 -4.337 .046 -4.329 -4.598 -4.42E-04 5.78E-05 8.73E-05 1.07E-05 8.83E-05 5.69E-05 3 6 .04764 -5.792 -3.365 -3.902 .029 -3.364 -3.904 -2.40E-04 4.27E-05 -1.99E-05 6.70E-06 4.29E-05 -2.01E-05 3 7 .04578 -4.416 -2.765 -3.583 .000 -2.765 -3.583 -1.56E-04 3.62E-05 -5.92E-05 2.38E-13 3.62E-05 -5.92E-05 **ITERATION IN NONLINEAR ANALYSIS ( FOR PERIOD NO. 2 ) : ITERATION NUMBER : 1 LAYER NO. MODULUS BULK STRESS 1 .4092E+05 .3417E+02 *************** * OUTPUT LIST * *************** ++++++++++++++++++ + PERIOD NO. 2 + ++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++ + REACTION FORCES + STRESSES UNDER TIES + +++++++++++++++++++++++++++++++++++++++++ TIE NUMBER : 3 4 5 6 NODAL POINT NUMBER 2 FORCE 900.69 830.84 776.86 838.62 STRESS 8.340 7.693 7.193 7.765 NODAL POINT NUMBER 3 FORCE 3669.41 2240.56 1731.20 2852.68 STRESS 33.976 20.746 16.030 26.414 NODAL POINT NUMBER 4 FORCE 5735.39 3443.57 2640.18 4431.69 STRESS 53.105 31.885 24.446 41.034 NODAL POINT NUMBER 5 FORCE 3877.88 2401.29 1876.82 3021.13 STRESS 35.906 22.234 17.378 27.973 NODAL POINT NUMBER 6 FORCE 1049.36 753.58 647.74 873.40 STRESS 9.716 6.978 5.998 8.087 NODAL POINT NUMBER 7 FORCE 90.50 300.43 320.35 190.90 STRESS .838 2.782 2.966 1.768 SUMMARY OF REACTION FORCES = 71999.96000 TRACK MODULUS U = 11539.95000 **ITERATION IN NONLINEAR ANALYSIS ( FOR PERIOD NO. 3 ) : ITERATION NUMBER : 1 LAYER NO. MODULUS BULK STRESS 1 .4137E+05 .3493E+02 ITERATION NUMBER : 2 LAYER NO. MODULUS BULK STRESS 1 .4142E+05 .3501E+02 *************** * OUTPUT LIST * *************** ++++++++++++++++++ + PERIOD NO. 3 + ++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++ + REACTION FORCES + STRESSES UNDER TIES + +++++++++++++++++++++++++++++++++++++++++ TIE NUMBER : 3 4 5 6 NODAL POINT NUMBER 2 FORCE 643.83 607.77 575.66 604.18 STRESS 5.961 5.628 5.330 5.594 NODAL POINT NUMBER 3 FORCE 3964.99 2304.71 1709.61 3029.66 STRESS 36.713 21.340 15.830 28.052 NODAL POINT NUMBER 4 FORCE 6315.71 3589.95 2626.92 4783.37 STRESS 58.479 33.240 24.323 44.290 NODAL POINT NUMBER 5 FORCE 4168.03 2437.49 1816.64 3180.40 STRESS 38.593 22.569 16.821 29.448 NODAL POINT NUMBER 6 FORCE 907.84 596.37 493.87 727.74 STRESS 8.406 5.522 4.573 6.738 NODAL POINT NUMBER 7 FORCE -160.26 126.82 181.34 -16.11 STRESS -1.484 1.174 1.679 -.149 SUMMARY OF REACTION FORCES = 71999.91000 TRACK MODULUS U = 12528.21000 **ITERATION IN NONLINEAR ANALYSIS ( FOR PERIOD NO. 4 ) : ITERATION NUMBER : 1 LAYER NO. MODULUS BULK STRESS 1 .4117E+05 .3459E+02 *************** * OUTPUT LIST * *************** ++++++++++++++++++ + PERIOD NO. 4 + ++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++ + REACTION FORCES + STRESSES UNDER TIES + +++++++++++++++++++++++++++++++++++++++++ TIE NUMBER : 3 4 5 6 NODAL POINT NUMBER 2 FORCE 526.05 497.36 475.00 494.98 STRESS 4.871 4.605 4.398 4.583 NODAL POINT NUMBER 3 FORCE 4087.31 2318.00 1679.42 3091.59 STRESS 37.845 21.463 15.550 28.626 NODAL POINT NUMBER 4 FORCE 6612.21 3719.07 2672.95 4981.62 STRESS 61.224 34.436 24.750 46.126 NODAL POINT NUMBER 5 FORCE 4277.52 2405.76 1738.14 3216.87 STRESS 39.607 22.276 16.094 29.786 NODAL POINT NUMBER 6 FORCE 875.86 567.93 462.67 697.53 STRESS 8.110 5.259 4.284 6.459 NODAL POINT NUMBER 7 FORCE -322.74 -11.45 64.39 -160.76 STRESS -2.988 -.106 .596 -1.488 SUMMARY OF REACTION FORCES = 72000.03000 TRACK MODULUS U = 13186.57000 *********************************************************************************************************** *********************** * SUMMARY OF ANALYSIS * *********************** +++++++++++++++++++++++++++++++++++ + MAXIMUM VALUES FOR RAIL AND TIE + +++++++++++++++++++++++++++++++++++ PERIOD RAIL VERT.(TIE RAIL BEND.(TIE TIE VERT.(TIE NO., TIE BEND.(TIE NO., TIE SHEAR(TIE NO., TRACK NO. DEFLECTION NO.) STRESS NO.) PRESSURE PT. NO.) STRESS PT. NO.) STRESS PT. NO.) MODULUS 1 .06025 ( 3) 8184.72 ( 3) 55.87 ( 3 , 4) 734.85 ( 3 , 4) -70.78 ( 3 , 5) 11961.53 2 .06140 ( 3) 8375.83 ( 3) 53.11 ( 3 , 4) 750.57 ( 3 , 4) -72.23 ( 3 , 5) 11539.95 3 .05834 ( 3) 8010.11 ( 3) 58.48 ( 3 , 4) 720.65 ( 3 , 4) -69.33 ( 3 , 5) 12528.21 4 .05672 ( 3) 7824.48 ( 3) 61.22 ( 3 , 4) 705.11 ( 3 , 4) -67.93 ( 3 , 5) 13186.57 +++++++++++++++++++++++++++++++++++++ + MAXIMUM VALUES FOR SUPPORT SYSTEM + +++++++++++++++++++++++++++++++++++++ AT BOTTOM OF LAYERS : ------------------- PERIOD LAYER ELASTIC TENSILE(TIE NO., TENSILE (TIE NO., NO. NO. MODULUS STRESS PT. NO.) STRAIN PT. NO.) 1 2 .698E+06 159.316 ( 3, 4) .145E-03 ( 3, 4) 2 2 .372E+06 104.194 ( 3, 4) .183E-03 ( 3, 4) 3 2 .125E+07 224.655 ( 3, 4) .113E-03 ( 3, 4) 4 2 .226E+07 312.045 ( 3, 4) .856E-04 ( 3, 4) AT TOP OF LAYERS : ---------------- PERIOD LAYER ELASTIC COMPRESSIVE(TIE NO., COMPRESSIVE(TIE NO., NO. NO. MODULUS STRESS PT. NO.) STRAIN PT. NO.) 1 3 .120E+05 -10.862 ( 3, 4) -.589E-03 ( 3, 4) 2 3 .120E+05 -11.903 ( 3, 4) -.675E-03 ( 3, 4) 3 3 .120E+05 -9.745 ( 3, 4) -.507E-03 ( 3, 4) 4 3 .120E+05 -8.579 ( 3, 4) -.431E-03 ( 3, 4) ************************************************************************************************************************** ************************************** * DAMAGE ANALYSIS FOR SUPPORT SYSTEM * ************************************** ++++++++++++++++++++++++++++++++++ + TENSILE STRESS/STRAIN ANALYSIS + ++++++++++++++++++++++++++++++++++ PERIOD LAYER MAX. TEN. ALLOWABLE DAMAGE NO. NO. VALUE REPETITION RATIO 1 2 .145E-03 .352E+07 .01421 2 2 .183E-03 .282E+07 .01776 3 2 .113E-03 .490E+07 .01020 4 2 .856E-04 .736E+07 .00679 RESULTS OF ANALYSIS : ------------------- LAYER SUM OF DAMA. DESIGN NO. RATIO LIFE 2 .04897 20.42 -------------------------------------------------------------------------------------------------------------------- ++++++++++++++++++++++++++++++++++++++ + COMPRESSIVE STRESS/STRAIN ANALYSIS + ++++++++++++++++++++++++++++++++++++++ PERIOD LAYER MAX. COMP. ALLOWABLE DAMAGE NO. NO. VALUE REPETITION RATIO 1 3 -.109E+02 .271E+07 .01848 2 3 -.119E+02 .192E+07 .02601 3 3 -.974E+01 .406E+07 .01232 4 3 -.858E+01 .653E+07 .00766 RESULTS OF ANALYSIS : ------------------- LAYER SUM OF DAMA. DESIGN NO. RATIO LIFE 3 .06448 15.51 --------------------------------------------------------------------------------------------------------------------