CENG 220 HW 4-1, 2, 3
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Average Acceleration Method time step t F(t) delta_F(t) 0 0 10 0 W= 25 kips 0.01 0.01 9.61 19.6 ζ= 0.07 0.02 0.02 9.23 57.5 I in^4 0.03 0.03 8.86 92.6 F_o kips 0.04 0.04 8.51 124.6 E= ksi 0.05 0.05 8.17 153.1 L1= 192 in 0.06 0.06 7.84 177.9 L2= 264 in 0.07 0.07 7.52 198.9 0.08 0.08 7.22 215.9 Ω= Hz 0.09 0.09 6.92 228.7 K_e 8000 kips/in 0.1 0.1 6.64 237.4 t_d= 0.75 sec 0.11 0.11 6.36 241.9 m= 64.699793 lb*s^2/in 0.12 0.12 6.10 242.2 0.13 0.13 5.84 238.5 c= 100.72203 kip*sec/in 0.14 0.14 5.60 231.0 h= 0.01 sec 0.15 0.15 5.36 219.8 k_i= 2616136.1 kip/in 0.16 0.16 5.13 205.1 w_n= 11.119712 rad/sec 0.17 0.17 4.91 187.2 0.18 0.18 4.70 166.4 0.19 0.19 4.50 143.0 0.2 0.2 4.30 117.5 0.21 0.21 4.11 90.1 0.22 0.22 3.93 61.2 0.23 0.23 3.75 31.4 0.24 0.24 3.59 0.9 0.25 0.25 3.42 -29.8 0.26 0.26 3.27 -60.3 0.27 0.27 3.12 -90.3 0.28 0.28 2.97 -119.2 0.29 0.29 2.83 -146.9 0.3 0.3 2.70 -172.9 0.31 0.31 2.57 -196.9 0.32 0.32 2.44 -218.7 0.33 0.33 2.32 -237.9 0.34 0.34 2.21 -254.4 0.35 0.35 2.10 -268.0 0.36 0.36 1.99 -278.6 0.37 0.37 1.89 -286.0 0.38 0.38 1.79 -290.2 0.39 0.39 1.70 -291.2 0.4 0.4 1.61 -289.0 0.41 0.41 1.52 -283.6 0.42 0.42 1.44 -275.2 0.43 0.43 1.36 -264.0
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Transcript of CENG 220 HW 4-1, 2, 3
Average Acceleration Method time step t F(t) delta_F(t) delta_x0 0 10 0 0
W= 25 kips 0.01 0.01 9.61 19.6 0.0000ζ= 0.07 0.02 0.02 9.23 57.5 0.0000I in^4 0.03 0.03 8.86 92.6 0.0000
F_o kips 0.04 0.04 8.51 124.6 0.0000E= ksi 0.05 0.05 8.17 153.1 0.0001
L1= 192 in 0.06 0.06 7.84 177.9 0.0001L2= 264 in 0.07 0.07 7.52 198.9 0.0001
0.08 0.08 7.22 215.9 0.0001Ω= Hz 0.09 0.09 6.92 228.7 0.0001
K_e 8000 kips/in 0.1 0.1 6.64 237.4 0.0001t_d= 0.75 sec 0.11 0.11 6.36 241.9 0.0001
m= 64.699793 lb*s^2/in 0.12 0.12 6.10 242.2 0.00010.13 0.13 5.84 238.5 0.0001
c= 100.72203 kip*sec/in 0.14 0.14 5.60 231.0 0.0001h= 0.01 sec 0.15 0.15 5.36 219.8 0.0001
k_i= 2616136.1 kip/in 0.16 0.16 5.13 205.1 0.0001w_n= 11.119712 rad/sec 0.17 0.17 4.91 187.2 0.0001
0.18 0.18 4.70 166.4 0.00010.19 0.19 4.50 143.0 0.00010.2 0.2 4.30 117.5 0.0000
0.21 0.21 4.11 90.1 0.00000.22 0.22 3.93 61.2 0.00000.23 0.23 3.75 31.4 0.00000.24 0.24 3.59 0.9 0.00000.25 0.25 3.42 -29.8 0.00000.26 0.26 3.27 -60.3 0.00000.27 0.27 3.12 -90.3 0.00000.28 0.28 2.97 -119.2 0.00000.29 0.29 2.83 -146.9 -0.00010.3 0.3 2.70 -172.9 -0.0001
0.31 0.31 2.57 -196.9 -0.00010.32 0.32 2.44 -218.7 -0.00010.33 0.33 2.32 -237.9 -0.00010.34 0.34 2.21 -254.4 -0.00010.35 0.35 2.10 -268.0 -0.00010.36 0.36 1.99 -278.6 -0.00010.37 0.37 1.89 -286.0 -0.00010.38 0.38 1.79 -290.2 -0.00010.39 0.39 1.70 -291.2 -0.00010.4 0.4 1.61 -289.0 -0.0001
0.41 0.41 1.52 -283.6 -0.00010.42 0.42 1.44 -275.2 -0.00010.43 0.43 1.36 -264.0 -0.0001
0.44 0.44 1.28 -249.9 -0.00010.45 0.45 1.20 -233.4 -0.0001
0.46 0.46 1.1339716 -214.5053435872 -8.199318895E-050.47 0.47 1.0660585 -193.5928269864 -7.399952363E-050.48 0.48 1.0009343 -170.9061366063 -6.532769262E-050.49 0.49 0.9384993 -146.7389342655 -5.608994612E-05
0.5 0.5 0.8786571 -121.3988677723 -4.640388038E-050.51 0.51 0.8213145 -95.20357917945 -3.639091188E-050.52 0.52 0.7663813 -68.47665268954 -2.617472846E-050.53 0.53 0.7137704 -41.54355268772 -1.587973665E-050.54 0.54 0.6633977 -14.72760172893 -5.62952424E-060.55 0.55 0.6151818 11.653952952825 4.454643183E-060.56 0.56 0.5690441 37.293737674295 1.425527415E-050.57 0.57 0.5249085 61.897870907522 2.366003448E-050.58 0.58 0.4827017 85.189360774406 3.256304593E-050.59 0.59 0.4423528 106.91124328997 4.086608578E-05
0.6 0.6 0.403793 126.82942697099 4.847967419E-050.61 0.61 0.3669564 144.73521354762 5.532403768E-050.62 0.62 0.3317787 160.44746894306 6.1329939E-050.63 0.63 0.2981984 173.81442336199 6.643936519E-050.64 0.64 0.2661555 184.7150841904 7.060606765E-050.65 0.65 0.2355926 193.06025039633 7.37959499E-050.66 0.66 0.2064538 198.79312216942 7.598730062E-050.67 0.67 0.1786855 201.88950458388 7.717087146E-050.68 0.68 0.1522356 202.35760905428 7.734980116E-050.69 0.69 0.1270539 200.23746121453 7.653938927E-05
0.7 0.7 0.1030922 195.5999285317 7.476672436E-050.71 0.71 0.0803035 188.54538541226 7.207017389E-050.72 0.72 0.0586428 179.20203771887 6.849874364E-050.73 0.73 0.0380664 167.72393244388 6.411131702E-050.74 0.74 0.0185324 154.28868174033 5.897578505E-050.75 0.75 0 139.09493355516 5.316807954E-050.76 0.76 -0.01757 122.35962371194 4.677112271E-050.77 0.77 -0.034215 104.31504642711 3.987370743E-050.78 0.78 -0.049972 85.205781894567 3.256932279E-050.79 0.79 -0.064876 65.285520726796 2.495494027E-05
0.8 0.8 -0.078961 44.813825689351 1.712977596E-050.81 0.81 -0.09226 24.052871309599 9.194044256E-060.82 0.82 -0.104804 3.2642015861756 1.247718555E-060.83 0.83 -0.116625 -17.29445481544 -6.610686138E-060.84 0.84 -0.12775 -37.3722738057 -1.428529405E-050.85 0.85 -0.13821 -56.72829323207 -2.168399905E-050.86 0.86 -0.14803 -75.13420421075 -2.871953164E-050.87 0.87 -0.157238 -92.3769448386 -3.531045039E-050.88 0.88 -0.165858 -108.2610675984 -4.138204682E-05
0.89 0.89 -0.173917 -122.6108549808 -4.686715413E-050.9 0.9 -0.181436 -135.2721613182 -5.17068512E-05
0.91 0.91 -0.188439 -146.1139625149 -5.585105497E-050.92 0.92 -0.194948 -155.0295992105 -5.925899564E-050.93 0.93 -0.200984 -161.9377028899 -6.189957065E-050.94 0.94 -0.206567 -166.7827984886 -6.375157505E-050.95 0.95 -0.211717 -169.5355811035 -6.480380723E-050.96 0.96 -0.216453 -170.1928684372 -6.505505078E-050.97 0.97 -0.220794 -168.77723455 -6.451393449E-050.98 0.98 -0.224755 -165.3363343027 -6.319867408E-050.99 0.99 -0.228356 -159.9419315153 -6.11367008E-05
1 1 -0.231612 -152.688647287 -5.836418291E-051.01 1.01 -0.234537 -143.6924480952 -5.492544778E-051.02 1.02 -0.237149 -133.088896172 -5.087231315E-051.03 1.03 -0.239461 -121.0311872162 -4.626333702E-051.04 1.04 -0.241487 -107.6880027163 -4.116299672E-051.05 1.05 -0.24324 -93.24120600605 -3.564080826E-051.06 1.06 -0.244734 -77.88341263935 -2.977039761E-051.07 1.07 -0.245981 -61.81546673434 -2.362853605E-051.08 1.08 -0.246993 -45.24385560282 -1.729415193E-051.09 1.09 -0.247781 -28.37809523585 -1.084733129E-05
1.1 1.1 -0.248357 -11.42811907277 -4.368319739E-061.11 1.11 -0.248731 5.3982980592284 2.063462221E-061.12 1.12 -0.248913 21.898049868886 8.370378614E-061.13 1.13 -0.248913 37.875112707578 1.447750075E-051.14 1.14 -0.248741 53.14283580778 2.031348266E-051.15 1.15 -0.248406 67.526081548995 2.58113792E-051.16 1.16 -0.247916 80.863191883319 3.090939769E-051.17 1.17 -0.24728 93.007759546679 3.555157496E-051.18 1.18 -0.246506 103.83018539872 3.968837264E-051.19 1.19 -0.245601 113.21900613761 4.327718465E-05
1.2 1.2 -0.244573 121.08197968723 4.628275209E-051.21 1.21 -0.243429 127.34691871412 4.867748185E-051.22 1.22 -0.242176 131.96226595889 5.044166652E-051.23 1.23 -0.240821 134.89740832257 5.156360445E-051.24 1.24 -0.239369 136.14272989042 5.203962004E-051.25 1.25 -0.237827 135.7094072666 5.187398545E-051.26 1.26 -0.2362 133.62895369272 5.107874641E-051.27 1.27 -0.234494 129.9525213967 4.967345551E-051.28 1.28 -0.232714 124.74997442983 4.768481779E-051.29 1.29 -0.230866 118.10874686864 4.514625434E-05
1.3 1.3 -0.228953 110.13250365449 4.209739035E-051.31 1.31 -0.226982 100.93962349147 3.858347528E-051.32 1.32 -0.224956 90.661525101157 3.465474302E-051.33 1.33 -0.222879 79.440859720254 3.036572102E-05
1.34 1.34 -0.220756 67.429594011136 2.57744975E-051.35 1.35 -0.21859 54.787008523271 2.094195635E-051.36 1.36 -0.216385 41.677637489409 1.593098964E-051.37 1.37 -0.214145 28.269176060863 1.080569768E-051.38 1.38 -0.211873 14.730381082465 5.630586629E-061.39 1.39 -0.209572 1.2289911847893 4.697734087E-07
1.4 1.4 -0.207246 -12.07030866201 -4.613792283E-061.41 1.41 -0.204897 -25.00785391956 -9.559079776E-061.42 1.42 -0.202528 -37.43087557745 -1.430769417E-051.43 1.43 -0.200142 -49.19526204966 -1.88045498E-051.44 1.44 -0.197741 -60.16718806251 -2.299849289E-051.45 1.45 -0.195328 -70.22459265765 -2.684286647E-051.46 1.46 -0.192905 -79.25849055448 -3.029601167E-051.47 1.47 -0.190475 -87.17410339722 -3.332170011E-051.48 1.48 -0.188038 -93.89179982271 -3.588949326E-051.49 1.49 -0.185598 -99.34783579373 -3.79750254E-05
1.5 1.5 -0.183156 -103.4948892177 -3.956020799E-051.51 1.51 -0.180715 -106.3023854786 -4.063335408E-051.52 1.52 -0.178274 -107.7566131201 -4.118922257E-051.53 1.53 -0.175838 -107.8606314957 -4.122898288E-051.54 1.54 -0.173406 -106.6339747186 -4.076010178E-051.55 1.55 -0.17098 -104.1121586695 -3.979615498E-051.56 1.56 -0.168562 -100.3460001246 -3.835656684E-051.57 1.57 -0.166152 -95.40075922475 -3.646628259E-051.58 1.58 -0.163753 -89.35511849555 -3.41553781E-051.59 1.59 -0.161365 -82.30001342309 -3.145861282E-05
1.6 1.6 -0.158989 -74.33733117516 -2.841493242E-051.61 1.61 -0.156627 -65.57849541516 -2.506692782E-051.62 1.62 -0.154279 -56.14295627261 -2.146025803E-051.63 1.63 -0.151946 -46.15660540086 -1.764304425E-051.64 1.64 -0.149628 -35.75013666204 -1.36652433E-051.65 1.65 -0.147328 -25.05737332784 -9.578008228E-061.66 1.66 -0.145045 -14.21358277277 -5.433044037E-061.67 1.67 -0.14278 -3.353799466567 -1.281966728E-061.68 1.68 -0.140534 7.3888233496794 2.824326793E-061.69 1.69 -0.138308 17.884613583826 6.83627026E-06
1.7 1.7 -0.136101 28.008912985169 1.070621392E-051.71 1.71 -0.133914 37.643524897253 1.438897791E-051.72 1.72 -0.131749 46.678060670745 1.784236693E-051.73 1.73 -0.129604 55.011169828284 2.102764046E-051.74 1.74 -0.127482 62.551640724697 2.390993348E-051.75 1.75 -0.125381 69.219360234193 2.64586233E-051.76 1.76 -0.123302 74.94612289711 2.864763886E-051.77 1.77 -0.121246 79.676281947486 3.045570955E-051.78 1.78 -0.119213 83.367236693528 3.186655156E-05
1.79 1.79 -0.117203 85.989752809848 3.286899026E-051.8 1.8 -0.115216 87.528114197118 3.34570183E-05
1.81 1.81 -0.113253 87.980107145738 3.362978949E-051.82 1.82 -0.111313 87.356839579947 3.339154976E-051.83 1.83 -0.109397 85.682400133331 3.275150682E-051.84 1.84 -0.107505 82.993363692644 3.172364118E-051.85 1.85 -0.105636 79.33815182261 3.032646164E-051.86 1.86 -0.103791 74.776258129876 2.858270922E-051.87 1.87 -0.101971 69.377350121417 2.651901385E-051.88 1.88 -0.100174 63.22026044543 2.416550876E-051.89 1.89 -0.098401 56.391881557315 2.1555408E-05
1.9 1.9 -0.096652 48.985978818364 1.872455273E-051.91 1.91 -0.094927 41.101937801368 1.57109324E-051.92 1.92 -0.093226 32.843462139192 1.255418701E-051.93 1.93 -0.091549 24.317238605716 9.295096833E-061.94 1.94 -0.089895 15.631586262356 5.975066097E-061.95 1.95 -0.088265 6.8951064390086 2.635606907E-061.96 1.96 -0.086659 -1.784649950164 -6.821701414E-071.97 1.97 -0.085076 -10.30248172184 -3.938052621E-061.98 1.98 -0.083516 -18.55678799041 -7.093204293E-061.99 1.99 -0.081979 -26.45075544047 -1.011061894E-05
2 2 -0.080466 -33.89346875732 -1.29555448E-052.01 2.01 -0.078975 -40.80093181593 -1.559587494E-052.02 2.02 -0.077507 -47.09698851186 -1.800249921E-052.03 2.03 -0.076062 -52.71413351611 -2.014961417E-052.04 2.04 -0.074639 -57.59420473191 -2.201498775E-052.05 2.05 -0.073238 -61.68895080536 -2.358017621E-052.06 2.06 -0.07186 -64.96046867222 -2.483069136E-052.07 2.07 -0.070503 -67.38150779033 -2.575611688E-052.08 2.08 -0.069168 -68.93563938925 -2.635017297E-052.09 2.09 -0.067854 -69.61729074565 -2.66107295E-05
2.1 2.1 -0.066562 -69.43164614374 -2.653976813E-052.11 2.11 -0.06529 -68.39441778515 -2.614329474E-052.12 2.12 -0.064039 -66.53149145304 -2.543120399E-052.13 2.13 -0.062809 -63.87845319363 -2.44170984E-052.14 2.14 -0.0616 -60.48000463665 -2.311806487E-052.15 2.15 -0.06041 -56.38927582145 -2.155441198E-052.16 2.16 -0.059241 -51.6670455125 -1.974937199E-052.17 2.17 -0.058091 -46.38087996579 -1.772877165E-052.18 2.18 -0.056961 -40.60420193632 -1.55206763E-052.19 2.19 -0.05585 -34.41530238868 -1.315501211E-05
2.2 2.2 -0.054758 -27.89630788167 -1.066317139E-052.21 2.21 -0.053685 -21.13211693996 -8.077606032E-062.22 2.22 -0.05263 -14.20931890082 -5.431414202E-062.23 2.23 -0.051594 -7.215108729833 -2.757925577E-06
2.24 2.24 -0.050575 -0.236211141613 -9.029008062E-082.25 2.25 -0.049575 6.6421729580778 2.538924827E-062.26 2.26 -0.048592 13.337385165584 5.098123542E-062.27 2.27 -0.047627 19.770281484582 7.557053816E-062.28 2.28 -0.046679 25.866146275701 9.887156112E-062.29 2.29 -0.045748 31.555537963877 1.206188687E-05
2.3 2.3 -0.044833 36.775057209897 1.405701212E-052.31 2.31 -0.043935 41.468029344134 1.585086837E-052.32 2.32 -0.043053 45.585094035488 1.742458797E-052.33 2.33 -0.042187 49.084696411457 1.876228685E-052.34 2.34 -0.041337 51.933475139758 1.985121288E-052.35 2.35 -0.040502 54.106544311409 2.068185359E-052.36 2.36 -0.039683 55.587667312821 2.124800265E-052.37 2.37 -0.038879 56.369322223556 2.154678485E-052.38 2.38 -0.038089 56.452659610366 2.157863999E-052.39 2.39 -0.037315 55.847354890883 2.134726644E-05
2.4 2.4 -0.036554 54.571358696501 2.085952569E-052.41 2.41 -0.035808 52.650549858779 2.012530975E-052.42 2.42 -0.035076 50.118296763612 1.915737346E-052.43 2.43 -0.034357 47.014933849733 1.797113438E-052.44 2.44 -0.033652 43.387160961735 1.65844432E-052.45 2.45 -0.032961 39.287374092632 1.501732793E-052.46 2.46 -0.032282 34.772936758819 1.329171538E-052.47 2.47 -0.031617 29.90540183409 1.143113371E-052.48 2.48 -0.030964 24.749694124011 9.460399973E-062.49 2.49 -0.030323 19.373264283852 7.405296728E-06
2.5 2.5 -0.029695 13.845224870488 5.292241768E-062.51 2.51 -0.029079 8.2354793710384 3.14795522E-062.52 2.52 -0.028474 2.6138549699584 9.991280443E-072.53 2.53 -0.027882 -2.950750395185 -1.127903998E-062.54 2.54 -0.0273 -8.391196476258 -3.207477011E-062.55 2.55 -0.026731 -13.64289489941 -5.214902532E-062.56 2.56 -0.026172 -18.64455990553 -7.126754503E-062.57 2.57 -0.025624 -23.33890713238 -8.921136371E-062.58 2.58 -0.025087 -27.6732926913 -1.057792537E-052.59 2.59 -0.02456 -31.60028564089 -1.207899136E-05
2.6 2.6 -0.024044 -35.07816788084 -1.340838787E-052.61 2.61 -0.023538 -38.07135646929 -1.455251358E-052.62 2.62 -0.023041 -40.55074439252 -1.550024252E-052.63 2.63 -0.022555 -42.49395687462 -1.624302209E-052.64 2.64 -0.022078 -43.88552139274 -1.677493804E-052.65 2.65 -0.021611 -44.71695064732 -1.709274614E-052.66 2.66 -0.021153 -44.98673881273 -1.719587081E-052.67 2.67 -0.020704 -44.70027244991 -1.708637101E-052.68 2.68 -0.020265 -43.86965848479 -1.676887455E-05
2.69 2.69 -0.019834 -42.51347263369 -1.625048186E-052.7 2.7 -0.019411 -40.65643257838 -1.55406411E-05
2.71 2.71 -0.018997 -38.32900104689 -1.465099644E-052.72 2.72 -0.018592 -35.56692473485 -1.359521181E-052.73 2.73 -0.018194 -32.41071569514 -1.238877266E-052.74 2.74 -0.017805 -28.90508242528 -1.104876851E-052.75 2.75 -0.017424 -25.09831838624 -9.593659195E-062.76 2.76 -0.01705 -21.04165608747 -8.043027994E-062.77 2.77 -0.016684 -16.78859516931 -6.417324776E-062.78 2.78 -0.016325 -12.39421310195 -4.737602522E-062.79 2.79 -0.015974 -7.914467199919 -3.025250531E-06
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-2.816047527E-05 0.5495839097578 -0.003635512413 0.0013499310758 1.103143132E-05-4.420162546E-05 0.538389630758712 -0.005204812679 0.0013057294504 2.430973395E-05-5.945585767E-05 0.520797176681454 -0.006686358855 0.0012462735927 3.706974917E-05-7.374868875E-05 0.497119954309942 -0.008063378895 0.001172524904 4.916374165E-05-8.692008252E-05 0.467740977623141 -0.009320637609 0.0010856048214 6.045439028E-05
0 0.5 1 1.5 2 2.49999999999999
-0.0010
-0.0005
0.0000
0.0005
0.0010
0.0015
0.0020 x
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
x_dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
x_double dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
x_double dot
Linear Acceleration time step t F(t) delta_F(t) delta_x0 0 10 0 0
W= 25 kips 0.01 0.01 9.61 29.68 7.572E-06ζ= 0.07 0.02 0.02 9.23 86.52 2.207E-05I in^4 0.03 0.03 8.86 139.14 3.549E-05
F_o kips 0.04 0.04 8.51 187.06 4.772E-05E= ksi 0.05 0.05 8.17 229.82 5.862E-05
L1= 192 in 0.06 0.06 7.84 267.07 6.813E-05L2= 264 in 0.07 0.07 7.52 298.50 7.614E-05
0.08 0.08 7.22 323.89 8.262E-05Ω= Hz 0.09 0.09 6.92 343.09 8.752E-05
K_e 8000 kips/in 0.1 0.1 6.64 356.02 9.082E-05t_d= 0.75 sec 0.11 0.11 6.36 362.69 9.252E-05
m= 64.699793 lb*s^2/in 0.12 0.12 6.10 363.17 9.264E-050.13 0.13 5.84 357.61 9.122E-05
c= 100.72203 kip*sec/in 0.14 0.14 5.60 346.23 8.832E-05h= 0.01 sec 0.15 0.15 5.36 329.31 8.400E-05
k_i= 3920204.2 kip/in 0.16 0.16 5.13 307.20 7.836E-05w_n= 11.12 rad/sec 0.17 0.17 4.91 280.29 7.150E-05
0.18 0.18 4.70 249.06 6.353E-050.19 0.19 4.50 213.98 5.458E-050.2 0.2 4.30 175.60 4.479E-05
0.21 0.21 4.11 134.48 3.430E-050.22 0.22 3.93 91.21 2.327E-050.23 0.23 3.75 46.39 1.183E-050.24 0.24 3.59 0.65 1.657E-070.25 0.25 3.42 -45.41 -1.158E-050.26 0.26 3.27 -91.19 -2.326E-050.27 0.27 3.12 -136.08 -3.471E-050.28 0.28 2.97 -179.52 -4.579E-050.29 0.29 2.83 -220.96 -5.636E-050.3 0.3 2.70 -259.89 -6.630E-05
0.31 0.31 2.57 -295.85 -7.547E-050.32 0.32 2.44 -328.41 -8.377E-050.33 0.33 2.32 -357.19 -9.112E-050.34 0.34 2.21 -381.88 -9.741E-050.35 0.35 2.10 -402.19 -1.026E-040.36 0.36 1.99 -417.93 -1.066E-040.37 0.37 1.89 -428.95 -1.094E-040.38 0.38 1.79 -435.16 -1.110E-040.39 0.39 1.70 -436.54 -1.114E-040.4 0.4 1.61 -433.11 -1.105E-04
0.41 0.41 1.52 -424.98 -1.084E-040.42 0.42 1.44 -412.29 -1.052E-040.43 0.43 1.36 -395.25 -1.008E-04
0.44 0.44 1.28 -374.11 -9.543E-050.45 0.45 1.20 -349.18 -8.907E-05
0.46 0.46 1.1339716 -320.8048 -8.18336896E-050.47 0.47 1.0660585 -289.3609 -7.381270279E-050.48 0.48 1.0009343 -255.2663 -6.511555382E-050.49 0.49 0.9384993 -218.9626 -5.585488698E-05
0.5 0.5 0.8786571 -180.9122 -4.614866262E-050.51 0.51 0.8213145 -141.5924 -3.611862578E-050.52 0.52 0.7663813 -101.4892 -2.588875223E-050.53 0.53 0.7137704 -61.09125 -1.558369137E-050.54 0.54 0.6633977 -20.88381 -5.327224956E-060.55 0.55 0.6151818 18.657191 4.759239586E-060.56 0.56 0.5690441 57.070816 1.455812342E-050.57 0.57 0.5249085 93.916571 2.395706115E-050.58 0.58 0.4827017 128.77949 3.285020029E-050.59 0.59 0.4423528 161.27485 4.11394009E-05
0.6 0.6 0.403793 191.05241 4.873532213E-050.61 0.61 0.3669564 217.80021 5.555838413E-050.62 0.62 0.3317787 241.24778 6.153959557E-050.63 0.63 0.2981984 261.16886 6.662123857E-050.64 0.64 0.2661555 277.38348 7.075740494E-050.65 0.65 0.2355926 289.75946 7.391437948E-050.66 0.66 0.2064538 298.21334 7.607086795E-050.67 0.67 0.1786855 302.7106 7.721806931E-050.68 0.68 0.1522356 303.2654 7.735959385E-050.69 0.69 0.1270539 299.93965 7.651123042E-05
0.7 0.7 0.1030922 292.84148 7.470056817E-050.71 0.71 0.0803035 282.12329 7.196647941E-050.72 0.72 0.0586428 267.97917 6.835847229E-050.73 0.73 0.0380664 250.64187 6.393592314E-050.74 0.74 0.0185324 230.37942 5.876719968E-050.75 0.75 0 207.49126 5.292868765E-050.76 0.76 -0.01757 182.30413 4.650373415E-050.77 0.77 -0.034215 155.16765 3.958152193E-050.78 0.78 -0.049972 126.44967 3.225588962E-050.79 0.79 -0.064876 96.531551 2.462411292E-05
0.8 0.8 -0.078961 65.803225 1.678566257E-050.81 0.81 -0.09226 34.658347 8.840954428E-060.82 0.82 -0.104804 3.489402 8.901072112E-070.83 0.83 -0.116625 -27.31707 -6.968277009E-060.84 0.84 -0.12775 -57.38511 -1.463829503E-050.85 0.85 -0.13821 -86.35376 -2.202787353E-050.86 0.86 -0.14803 -113.8813 -2.904983577E-050.87 0.87 -0.157238 -139.649 -3.562289201E-050.88 0.88 -0.165858 -163.3649 -4.167254254E-05
0.89 0.89 -0.173917 -184.7666 -4.713188381E-050.9 0.9 -0.181436 -203.6245 -5.194230905E-05
0.91 0.91 -0.188439 -219.7435 -5.605409669E-050.92 0.92 -0.194948 -232.9655 -5.94268808E-050.93 0.93 -0.200984 -243.1703 -6.20299999E-050.94 0.94 -0.206567 -250.2765 -6.384272157E-050.95 0.95 -0.211717 -254.2423 -6.485434203E-050.96 0.96 -0.216453 -255.0648 -6.506416145E-050.97 0.97 -0.220794 -252.78 -6.448133724E-050.98 0.98 -0.224755 -247.4614 -6.312461888E-050.99 0.99 -0.228356 -239.2186 -6.102196944E-05
1 1 -0.231612 -228.1954 -5.821008014E-051.01 1.01 -0.234537 -214.5676 -5.473378566E-051.02 1.02 -0.237149 -198.5403 -5.064538862E-051.03 1.03 -0.239461 -180.3447 -4.600390319E-051.04 1.04 -0.241487 -160.2353 -4.087422818E-051.05 1.05 -0.24324 -138.4862 -3.532626084E-051.06 1.06 -0.244734 -115.3871 -2.943396315E-051.07 1.07 -0.245981 -91.24037 -2.327439278E-051.08 1.08 -0.246993 -66.35616 -1.69267111E-051.09 1.09 -0.247781 -41.04917 -1.047118074E-05
1.1 1.1 -0.248357 -15.63442 -3.988165174E-061.11 1.11 -0.248731 9.5765003 2.442857536E-061.12 1.12 -0.248913 34.279265 8.744254865E-061.13 1.13 -0.248913 58.180388 1.484116257E-051.14 1.14 -0.248741 81.000667 2.06623593E-051.15 1.15 -0.248406 102.47838 2.614108302E-051.16 1.16 -0.247916 122.37223 3.121578038E-051.17 1.17 -0.24728 140.46398 3.583078056E-051.18 1.18 -0.246506 156.56075 3.993688679E-051.19 1.19 -0.245601 170.49705 4.349187946E-05
1.2 1.2 -0.244573 182.13632 4.646092596E-051.21 1.21 -0.243429 191.37219 4.88168938E-051.22 1.22 -0.242176 198.12933 5.05405646E-051.23 1.23 -0.240821 202.36387 5.16207478E-051.24 1.24 -0.239369 204.06346 5.205429439E-051.25 1.25 -0.237827 203.24695 5.184601187E-051.26 1.26 -0.2362 199.96367 5.100848319E-051.27 1.27 -0.234494 194.29235 4.956179313E-051.28 1.28 -0.232714 186.33972 4.753316714E-051.29 1.29 -0.230866 176.23877 4.495652824E-05
1.3 1.3 -0.228953 164.14671 4.187197875E-051.31 1.31 -0.226982 150.24267 3.832521438E-051.32 1.32 -0.224956 134.72518 3.436687873E-051.33 1.33 -0.222879 117.80946 3.005186732E-05
1.34 1.34 -0.220756 99.724467 2.54385901E-051.35 1.35 -0.21859 80.709957 2.058820242E-051.36 1.36 -0.216385 61.01333 1.556381418E-051.37 1.37 -0.214145 40.886503 1.04296872E-051.38 1.38 -0.211873 20.582761 5.250430877E-061.39 1.39 -0.209572 0.353626 9.020602108E-08
1.4 1.4 -0.207246 -19.55419 -4.988053641E-061.41 1.41 -0.204897 -38.90173 -9.92339288E-061.42 1.42 -0.202528 -57.46059 -1.46575506E-051.43 1.43 -0.200142 -75.01558 -1.913563147E-051.44 1.44 -0.197741 -91.36712 -2.330672596E-051.45 1.45 -0.195328 -106.3335 -2.71244721E-051.46 1.46 -0.192905 -119.7526 -3.05475528E-051.47 1.47 -0.190475 -131.4841 -3.354012385E-051.48 1.48 -0.188038 -141.4103 -3.607216821E-051.49 1.49 -0.185598 -149.4373 -3.811977361E-05
1.5 1.5 -0.183156 -155.4962 -3.966533102E-051.51 1.51 -0.180715 -159.5431 -4.069765296E-051.52 1.52 -0.178274 -161.5595 -4.121201131E-051.53 1.53 -0.175838 -161.552 -4.121009555E-051.54 1.54 -0.173406 -159.5519 -4.069989292E-051.55 1.55 -0.17098 -155.6144 -3.969549349E-051.56 1.56 -0.168562 -149.8178 -3.821682335E-051.57 1.57 -0.166152 -142.2615 -3.628931062E-051.58 1.58 -0.163753 -133.0654 -3.39434891E-051.59 1.59 -0.161365 -122.3674 -3.121454563E-05
1.6 1.6 -0.158989 -110.3217 -2.81418174E-051.61 1.61 -0.156627 -97.09658 -2.476824622E-051.62 1.62 -0.154279 -82.87232 -2.113979706E-051.63 1.63 -0.151946 -67.83854 -1.730484852E-051.64 1.64 -0.149628 -52.19189 -1.331356321E-051.65 1.65 -0.147328 -36.13349 -9.217245942E-061.66 1.66 -0.145045 -19.86641 -5.067697839E-061.67 1.67 -0.14278 -3.593159 -9.165743529E-071.68 1.68 -0.140534 12.486811 3.185245057E-061.69 1.69 -0.138308 28.179478 7.188268013E-06
1.7 1.7 -0.136101 43.298553 1.10449739E-051.71 1.71 -0.133914 57.667636 1.47103654E-051.72 1.72 -0.131749 71.122228 1.814248061E-051.73 1.73 -0.129604 83.511561 2.130286009E-051.74 1.74 -0.127482 94.700231 2.415696387E-051.75 1.75 -0.125381 104.56962 2.667453394E-051.76 1.76 -0.123302 113.01909 2.882989887E-051.77 1.77 -0.121246 119.96694 3.060221739E-051.78 1.78 -0.119213 125.35111 3.197565921E-05
1.79 1.79 -0.117203 129.12965 3.293952165E-051.8 1.8 -0.115216 131.2809 3.348828168E-05
1.81 1.81 -0.113253 131.80347 3.362158373E-051.82 1.82 -0.111313 130.71593 3.334416442E-051.83 1.83 -0.109397 128.05628 3.266571613E-051.84 1.84 -0.107505 123.88116 3.160069192E-051.85 1.85 -0.105636 118.26494 3.016805524E-051.86 1.86 -0.103791 111.29843 2.839097824E-051.87 1.87 -0.101971 103.08762 2.629649316E-051.88 1.88 -0.100174 93.752083 2.391510191E-051.89 1.89 -0.098401 83.423314 2.12803491E-05
1.9 1.9 -0.096652 72.242952 1.842836446E-051.91 1.91 -0.094927 60.360876 1.53973806E-051.92 1.92 -0.093226 47.933248 1.222723251E-051.93 1.93 -0.091549 35.120502 8.958845146E-061.94 1.94 -0.089895 22.085315 5.633715501E-061.95 1.95 -0.088265 8.9905796 2.293395756E-061.96 1.96 -0.086659 -4.002593 -1.021016348E-061.97 1.97 -0.085076 -16.73682 -4.269373695E-061.98 1.98 -0.083516 -29.0603 -7.412956694E-061.99 1.99 -0.081979 -40.82863 -1.041492535E-05
2 2 -0.080466 -51.90641 -1.324074134E-052.01 2.01 -0.078975 -62.16878 -1.585855545E-052.02 2.02 -0.077507 -71.50278 -1.823955602E-052.03 2.03 -0.076062 -79.80859 -2.035827494E-052.04 2.04 -0.074639 -87.0005 -2.219284787E-052.05 2.05 -0.073238 -93.00773 -2.372522646E-052.06 2.06 -0.07186 -97.77515 -2.494134045E-052.07 2.07 -0.070503 -101.2636 -2.583120862E-052.08 2.08 -0.069168 -103.4503 -2.638899799E-052.09 2.09 -0.067854 -104.3285 -2.661303123E-05
2.1 2.1 -0.066562 -103.9079 -2.650574318E-052.11 2.11 -0.06529 -102.2138 -2.607358762E-052.12 2.12 -0.064039 -99.2866 -2.532689626E-052.13 2.13 -0.062809 -95.18135 -2.427969251E-052.14 2.14 -0.0616 -89.96658 -2.294946277E-052.15 2.15 -0.06041 -83.72337 -2.135688902E-052.16 2.16 -0.059241 -76.54413 -1.952554627E-052.17 2.17 -0.058091 -68.53132 -1.74815693E-052.18 2.18 -0.056961 -59.79602 -1.525329322E-052.19 2.19 -0.05585 -50.45645 -1.287087256E-05
2.2 2.2 -0.054758 -40.63638 -1.036588407E-052.21 2.21 -0.053685 -30.46359 -7.770918063E-062.22 2.22 -0.05263 -20.06817 -5.119163847E-062.23 2.23 -0.051594 -9.580956 -2.443994036E-06
2.24 2.24 -0.050575 0.8681169 2.214468672E-072.25 2.25 -0.049575 11.151588 2.844644793E-062.26 2.26 -0.048592 21.145991 5.394104496E-062.27 2.27 -0.047627 30.733301 7.839719486E-062.28 2.28 -0.046679 39.802301 1.015311925E-052.29 2.29 -0.045748 48.249833 1.230798987E-05
2.3 2.3 -0.044833 55.981945 1.428036451E-052.31 2.31 -0.043935 62.914889 1.604888069E-052.32 2.32 -0.043053 68.975999 1.759500169E-052.33 2.33 -0.042187 74.104404 1.890319999E-052.34 2.34 -0.041337 78.251592 1.996110097E-052.35 2.35 -0.040502 81.381815 2.075958584E-052.36 2.36 -0.039683 83.472332 2.129285308E-052.37 2.37 -0.038879 84.51348 2.155843837E-052.38 2.38 -0.038089 84.508599 2.155719328E-052.39 2.39 -0.037315 83.473785 2.129322374E-05
2.4 2.4 -0.036554 81.437497 2.07737896E-052.41 2.41 -0.035808 78.440021 2.000916711E-052.42 2.42 -0.035076 74.53279 1.901247658E-052.43 2.43 -0.034357 69.777588 1.779947792E-052.44 2.44 -0.033652 64.245627 1.638833692E-052.45 2.45 -0.032961 58.016536 1.47993658E-052.46 2.46 -0.032282 51.177252 1.305474136E-052.47 2.47 -0.031617 43.820845 1.117820471E-052.48 2.48 -0.030964 36.045284 9.194746469E-062.49 2.49 -0.030323 27.952159 7.13028149E-06
2.5 2.5 -0.029695 19.645387 5.011317316E-062.51 2.51 -0.029079 11.229897 2.864620469E-062.52 2.52 -0.028474 2.8103345 7.168847156E-072.53 2.53 -0.027882 -5.510218 -1.405594655E-062.54 2.54 -0.0273 -13.63148 -3.477236662E-062.55 2.55 -0.026731 -21.45715 -5.473476841E-062.56 2.56 -0.026172 -28.89603 -7.371052357E-062.57 2.57 -0.025624 -35.86307 -9.148266769E-062.58 2.58 -0.025087 -42.28031 -1.078523155E-052.59 2.59 -0.02456 -48.0777 -1.226408175E-05
2.6 2.6 -0.024044 -53.19389 -1.356916351E-052.61 2.61 -0.023538 -57.57679 -1.468719169E-052.62 2.62 -0.023041 -61.1841 -1.560737603E-052.63 2.63 -0.022555 -63.98367 -1.632151475E-052.64 2.64 -0.022078 -65.95373 -1.682405514E-052.65 2.65 -0.021611 -67.08301 -1.71121207E-052.66 2.66 -0.021153 -67.37069 -1.718550506E-052.67 2.67 -0.020704 -66.82628 -1.704663343E-052.68 2.68 -0.020265 -65.46934 -1.670049227E-05
2.69 2.69 -0.019834 -63.32905 -1.615452878E-052.7 2.7 -0.019411 -60.44375 -1.54185218E-05
2.71 2.71 -0.018997 -56.86031 -1.450442612E-052.72 2.72 -0.018592 -52.63342 -1.342619254E-052.73 2.73 -0.018194 -47.82479 -1.219956632E-052.74 2.74 -0.017805 -42.50233 -1.084186673E-052.75 2.75 -0.017424 -36.73918 -9.371750699E-062.76 2.76 -0.01705 -30.61273 -7.808963779E-062.77 2.77 -0.016684 -24.20366 -6.174081592E-062.78 2.78 -0.016325 -17.59484 -4.488245103E-062.79 2.79 -0.015974 -10.87031 -2.772893055E-06
2.8 2.8 -0.01563 -4.114234 -1.049494874E-062.81 2.81 -0.015293 2.5901286 6.607126709E-072.82 2.82 -0.014963 9.1614463 2.336981909E-062.83 2.83 -0.01464 15.521267 3.959300767E-062.84 2.84 -0.014323 21.59494 5.508626454E-062.85 2.85 -0.014013 27.312469 6.967103684E-062.86 2.86 -0.013709 32.609297 8.318264994E-062.87 2.87 -0.013411 37.427016 9.547210972E-062.88 2.88 -0.01312 41.713985 1.064076852E-052.89 2.89 -0.012835 45.425858 1.158762552E-05
2.9 2.9 -0.012555 48.526015 1.237844067E-052.91 2.91 -0.012282 50.985891 1.300592747E-052.92 2.92 -0.012014 52.785203 1.346491174E-052.93 2.93 -0.011752 53.912069 1.375236246E-052.94 2.94 -0.011495 54.363023 1.386739576E-052.95 2.95 -0.011244 54.142931 1.381125272E-052.96 2.96 -0.010998 53.2648 1.358725137E-052.97 2.97 -0.010757 51.749495 1.320071406E-052.98 2.98 -0.010521 49.62536 1.265887135E-052.99 2.99 -0.01029 46.927761 1.197074413E-05
3 3 -0.010064 43.698538 1.11470055E-05
delta_xdot delta_xdoubledot x_double dot x_dot x0 0 0.15456 0 0
0.001499 -0.0062 0.145 0.0014989 7.572E-060.001398 0.5924 0.134 0.0028972 2.964E-050.001284 1.1508 0.122 0.0041815 6.514E-050.001158 1.6638 0.109 0.0053398 1.129E-040.001022 2.1265 0.095 0.0063617 1.715E-040.000877 2.5348 0.080 0.0072388 2.396E-040.000726 2.8852 0.065 0.0079643 3.157E-040.000569 3.1752 0.049 0.0085335 3.984E-040.000410 3.4027 0.033 0.0089435 4.859E-040.000250 3.5667 0.017 0.0091933 5.767E-040.000091 3.6668 0.001 0.009284 6.692E-04-0.000066 3.7033 -0.014 0.0092184 7.619E-04-0.000217 3.6774 -0.029 0.0090013 8.531E-04-0.000362 3.5910 -0.043 0.0086389 9.414E-04-0.000499 3.4467 -0.057 0.0081395 1.025E-03-0.000627 3.2476 -0.069 0.0075125 1.104E-03-0.000744 2.9976 -0.080 0.006769 1.175E-03-0.000848 2.7010 -0.090 0.0059209 1.239E-03-0.000939 2.3627 -0.098 0.0049817 1.293E-03-0.001016 1.9880 -0.105 0.0039652 1.338E-03-0.001079 1.5824 -0.111 0.0028863 1.372E-03-0.001126 1.1519 -0.115 0.0017603 1.396E-03-0.001158 0.7025 -0.117 0.0006027 1.408E-03-0.001174 0.2405 -0.118 -0.000571 1.408E-03-0.001174 -0.2279 -0.117 -0.001745 1.396E-03-0.001159 -0.6964 -0.115 -0.002904 1.373E-03-0.001129 -1.1589 -0.111 -0.004033 1.338E-03-0.001085 -1.6096 -0.106 -0.005117 1.292E-03-0.001027 -2.0427 -0.100 -0.006145 1.236E-03-0.000957 -2.4528 -0.092 -0.007102 1.170E-03-0.000876 -2.8349 -0.083 -0.007977 1.094E-03-0.000784 -3.1845 -0.074 -0.008761 1.010E-03-0.000683 -3.4975 -0.063 -0.009444 9.194E-04-0.000575 -3.7703 -0.052 -0.010019 8.220E-04-0.000461 -3.9999 -0.040 -0.01048 7.194E-04-0.000342 -4.1840 -0.028 -0.010822 6.128E-04-0.000220 -4.3205 -0.016 -0.011042 5.033E-04-0.000097 -4.4085 -0.003 -0.011139 3.923E-040.000026 -4.4472 0.009 -0.011112 2.810E-040.000148 -4.4368 0.021 -0.010964 1.705E-040.000266 -4.3779 0.032 -0.010698 6.209E-050.000380 -4.2717 0.044 -0.010318 -4.308E-050.000488 -4.1201 0.054 -0.00983 -1.439E-04
0.000589 -3.9254 0.064 -0.009241 -2.393E-040.000681 -3.6904 0.073 -0.008559 -3.284E-04
0.0007646979 -3.41843200372821 0.0803866638 -0.007794 -0.0004102439840.0008377315 -3.11326195304786 0.0871596448 -0.006957 -0.0004840566860.0008998167 -2.77892405061341 0.0928036953 -0.006057 -0.000549172240.0009503464 -2.41978772744317 0.0972655846 -0.005107 -0.0006050271270.0009888651 -2.04046490744744 0.1005074282 -0.004118 -0.000651175790.0010150717 -1.64574959306128 0.1025069134 -0.003103 -0.0006872944150.0010288212 -1.2405561593661 0.1032573309 -0.002074 -0.0007131831680.0010301237 -0.829857131949942 0.1027674146 -0.001044 -0.0007287668590.0010191421 -0.4186212181328 0.1010609955 -2.457E-05 -0.0007340940840.0009961874 -0.0117523462221297 0.0981764757 0.0009716 -0.000729334844
0.000961713 0.385969556506521 0.0941661319 0.0019333 -0.0007147767210.000916307 0.769945348957166 0.0890952603 0.0028496 -0.00069081966
0.0008606822 1.1358103669374 0.0830411752 0.0037103 -0.000657969460.0007956663 1.47948440992729 0.0760920755 0.004506 -0.0006168300590.0007221894 1.79721746910508 0.0683457961 0.0052282 -0.0005680947370.0006412713 2.08563070253456 0.0599084601 0.0058694 -0.0005125363520.0005540076 2.3417522292258 0.0508930502 0.0064235 -0.0004509967570.0004615548 2.56304738381794 0.041417919 0.006885 -0.0003843755180.0003651159 2.74744314697644 0.0316052559 0.0072501 -0.0003136181130.0002659239 2.89334654229906 0.0215795302 0.007516 -0.0002397037340.0001652273 2.99965686762113 0.0114659316 0.0076813 -0.0001636328666.427378E-05 3.06577170613656 0.0013888251 0.0077455 -8.64147966E-05-3.57047E-05 3.09158673974985 -0.0085297602 0.0077098 -9.055202755E-06-0.000133507 3.07748946261205 -0.01817159 0.0075763 6.745602767E-05-0.000227976 3.02434696596776 -0.027423615 0.0073484 0.0001421565958-0.000318014 2.93348803539061 -0.0361792758 0.0070303 0.0002141230752-0.000402595 2.80667986740553 -0.0443397088 0.0066277 0.0002824815475-0.000480773 2.6460997736417 -0.0518148383 0.006147 0.0003464174707-0.000551696 2.45430229635516 -0.0585243455 0.0055953 0.0004051846704-0.000614614 2.23418220880789 -0.0643985015 0.0049807 0.000458113358-0.000668887 1.98893391707411 -0.0693788591 0.0043118 0.0005046170921-0.000713988 1.72200781594051 -0.0734187951 0.0035978 0.0005441986141-0.000749513 1.43706418033891 -0.0764838994 0.0028483 0.0005764545037-0.000775181 1.13792519495933 -0.078552209 0.0020731 0.0006010786166-0.000790832 0.828525738194943 -0.0796142854 0.0012823 0.0006178642792-0.000796437 0.512863542321322 -0.079673138 0.0004858 0.0006267052336-0.000792086 0.194949349860527 -0.0787439956 -0.000306 0.0006275953408
-0.00077799 -0.12124232343271 -0.0768539327 -0.001084 0.0006206270638-0.000754476 -0.431821225365656 -0.0740413552 -0.001839 0.0006059887688-0.000721984 -0.733027634135146 -0.0703553567 -0.002561 0.0005839608953-0.000681052 -1.02127631589749 -0.0658549528 -0.003242 0.0005549110595-0.000632316 -1.29319767038115 -0.0606082062 -0.003874 0.0005192881675-0.000576497 -1.54567560402461 -0.0546912542 -0.004451 0.0004776156249
-0.000514393 -1.77588171729249 -0.0481872527 -0.004965 0.0004304837411-0.000446863 -1.98130544432686 -0.0411852499 -0.005412 0.0003785414321-0.000374821 -2.15977983823196 -0.033779006 -0.005787 0.0003224873354-0.000299224 -2.30950275333607 -0.0260657728 -0.006086 0.0002630604546-0.000221054 -2.42905323597026 -0.0181450494 -0.006307 0.0002010304547-0.000141312 -2.51740299687902 -0.0101173299 -0.006448 0.0001371877331-6.10009E-05 -2.5739229005571 -0.002082858 -0.006509 7.233339108E-051.888369E-05 -2.59838446882049 0.0058595966 -0.00649 7.269229637E-06
9.73676E-05 -2.59095645700922 0.0136139239 -0.006393 -5.721210761E-050.0001735087 -2.55219662065345 0.0210878094 -0.006219 -0.0001203367260.0002464081 -2.4830388475083 0.0281938054 -0.005973 -0.0001813586960.0003152207 -2.38477588391569 0.0348503265 -0.005658 -0.0002395687760.0003791644 -2.25903793486783 0.0409825576 -0.005279 -0.0002943025620.0004375291 -2.1077674633648 0.0465232657 -0.004841 -0.000344947950.0004896839 -1.93319055617772 0.0514135054 -0.004351 -0.0003909518540.0005350836 -1.73778525951281 0.0556032132 -0.003816 -0.0004318260820.0005732745 -1.52424731895404 0.0590516825 -0.003243 -0.000467152343
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0 0.51 1.02 1.53 2.04 2.54999999999999
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
x
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
x_dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
x_double dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
0.2
x_double dot
Newmark's Beta Method time step t F(t) delta_F(t) delta_x0 0 10 0 0
W= 25 kips 0.01 0.01 9.61 10.6 0.000008ζ= 0.07 0.02 0.02 9.23 46.1 0.000030I in^4 0.03 0.03 8.86 78.9 0.000051
F_o kips 0.04 0.04 8.51 108.4 0.000070E= ksi 0.05 0.05 8.17 134.3 0.000087
L1= 192 in 0.06 0.06 7.84 156.2 0.000101L2= 264 in 0.07 0.07 7.52 173.6 0.000112
0.08 0.08 7.22 186.5 0.000120Ω= Hz 0.09 0.09 6.92 194.6 0.000125
K_e 8000 kips/in 0.1 0.1 6.64 197.8 0.000127t_d= 0.75 sec 0.11 0.11 6.36 196.3 0.000126
m= 64.699793 lb*s^2/in 0.12 0.12 6.10 190.1 0.0001220.13 0.13 5.84 179.5 0.000115
c= 100.72203 kip*sec/in 0.14 0.14 5.60 164.6 0.000106h= 0.01 sec 0.15 0.15 5.36 145.9 0.000094
k_i= 1572881.7 kip/in 0.16 0.16 5.13 123.9 0.000080w_n= rad/sec 0.17 0.17 4.91 98.9 0.000064
gamma= 0.5 0.18 0.18 4.70 71.5 0.000046beta= 0.4166667 0.19 0.19 4.50 42.2 0.000028
0.2 0.2 4.30 11.8 0.0000080.21 0.21 4.11 -19.3 -0.0000120.22 0.22 3.93 -50.5 -0.0000320.23 0.23 3.75 -81.0 -0.0000510.24 0.24 3.59 -110.4 -0.0000700.25 0.25 3.42 -138.1 -0.0000880.26 0.26 3.27 -163.6 -0.0001040.27 0.27 3.12 -186.3 -0.0001180.28 0.28 2.97 -205.9 -0.0001310.29 0.29 2.83 -222.1 -0.0001410.3 0.3 2.70 -234.4 -0.000149
0.31 0.31 2.57 -242.9 -0.0001540.32 0.32 2.44 -247.2 -0.0001570.33 0.33 2.32 -247.4 -0.0001570.34 0.34 2.21 -243.4 -0.0001550.35 0.35 2.10 -235.5 -0.0001500.36 0.36 1.99 -223.6 -0.0001420.37 0.37 1.89 -208.2 -0.0001320.38 0.38 1.79 -189.5 -0.0001200.39 0.39 1.70 -167.9 -0.0001070.4 0.4 1.61 -143.8 -0.000091
0.41 0.41 1.52 -117.6 -0.0000740.42 0.42 1.44 -89.9 -0.0000570.43 0.43 1.36 -61.1 -0.000038
0.44 0.44 1.28 -31.8 -0.0000200.45 0.45 1.20 -2.6 -0.0000010.46 0.46 1.1339716 26.019266 1.735798935E-050.47 0.47 1.0660585 53.586746 3.497034989E-050.48 0.48 1.0009343 79.584047 5.157868858E-050.49 0.49 0.9384993 103.55667 6.689262342E-050.5 0.5 0.8786571 125.09227 8.064873373E-05
0.51 0.51 0.8213145 143.8279 9.261515751E-050.52 0.52 0.7663813 159.45618 0.00010259555270.53 0.53 0.7137704 171.73038 0.00011043235590.54 0.54 0.6633977 180.46838 0.00011600928590.55 0.55 0.6151818 185.55534 0.00011925305370.56 0.56 0.5690441 186.94509 0.00012013425590.57 0.57 0.5249085 184.66024 0.00011866744490.58 0.58 0.4827017 178.79102 0.00011491038190.59 0.59 0.4423528 169.4929 0.00010896249710.6 0.6 0.403793 156.98293 0.0001009625935
0.61 0.61 0.3669564 141.53513 9.108584588E-050.62 0.62 0.3317787 123.47474 7.954015741E-050.63 0.63 0.2981984 103.17162 6.656194951E-050.64 0.64 0.2661555 81.032973 5.24114687E-050.65 0.65 0.2355926 57.495317 3.736770299E-050.66 0.66 0.2064538 33.01612 2.172300636E-050.67 0.67 0.1786855 8.0650771 5.777534228E-060.68 0.68 0.1522356 -16.88473 -1.016640479E-050.69 0.69 0.1270539 -41.36562 -2.580997512E-050.7 0.7 0.1030922 -64.92396 -4.086331445E-05
0.71 0.71 0.0803035 -87.12837 -5.505080712E-050.72 0.72 0.0586428 -107.5775 -6.81160356E-050.73 0.73 0.0380664 -125.9071 -7.982632154E-050.74 0.74 0.0185324 -141.7965 -8.997677677E-050.75 0.75 0 -154.9739 -9.839379451E-050.76 0.76 -0.01757 -165.2209 -0.0001049379220.77 0.77 -0.034215 -172.3761 -0.0001095060690.78 0.78 -0.049972 -176.3372 -0.0001120330160.79 0.79 -0.064876 -177.0625 -0.0001124922060.8 0.8 -0.078961 -174.571 -0.000110895807
0.81 0.81 -0.09226 -168.9411 -0.0001072940610.82 0.82 -0.104804 -160.3088 -0.0001017739290.83 0.83 -0.116625 -148.8643 -9.445707144E-050.84 0.84 -0.12775 -134.8481 -8.549721059E-050.85 0.85 -0.13821 -118.5458 -7.507692143E-050.86 0.86 -0.14803 -100.2823 -6.340392774E-050.87 0.87 -0.157238 -80.41567 -5.070697027E-050.88 0.88 -0.165858 -59.32954 -3.723133103E-05
0.89 0.89 -0.173917 -37.42624 -2.323410001E-050.9 0.9 -0.181436 -15.11888 -8.97927501E-06
0.91 0.91 -0.188439 7.1763802 5.267212817E-060.92 0.92 -0.194948 29.048106 1.924245447E-050.93 0.93 -0.200984 50.097144 3.26914081E-050.94 0.94 -0.206567 69.943909 4.537154477E-050.95 0.95 -0.211717 88.235207 5.705721108E-050.96 0.96 -0.216453 104.6505 6.75436307E-050.97 0.97 -0.220794 118.90751 7.665047482E-050.98 0.98 -0.224755 130.76699 8.422493973E-050.99 0.99 -0.228356 140.03676 9.014428014E-05
1 1 -0.231612 146.57469 9.431775703E-051.01 1.01 -0.234537 150.29085 9.668797048E-051.02 1.02 -0.237149 151.14853 9.723155942E-051.03 1.03 -0.239461 149.16444 9.595926231E-051.04 1.04 -0.241487 144.40771 9.291534472E-051.05 1.05 -0.24324 136.99811 8.817641125E-051.06 1.06 -0.244734 127.10324 8.18496307E-051.07 1.07 -0.245981 114.9349 7.407041375E-051.08 1.08 -0.246993 100.74469 6.499959246E-051.09 1.09 -0.247781 84.818904 5.4820159E-051.1 1.1 -0.248357 67.472826 4.373362937E-05
1.11 1.11 -0.248731 49.044586 3.195610334E-051.12 1.12 -0.248913 29.888628 1.971409721E-051.13 1.13 -0.248913 10.368959 7.240229092E-061.14 1.14 -0.248741 -9.147701 -5.23116159E-061.15 1.15 -0.248406 -28.29875 -1.746837844E-051.16 1.16 -0.247916 -46.7324 -2.92466355E-051.17 1.17 -0.24728 -64.11405 -4.035214961E-051.18 1.18 -0.246506 -80.13232 -5.058598378E-051.19 1.19 -0.245601 -94.50457 -5.976757306E-051.2 1.2 -0.244573 -106.9818 -6.773787083E-05
1.21 1.21 -0.243429 -117.353 -7.436206158E-051.22 1.22 -0.242176 -125.4485 -7.953179441E-051.23 1.23 -0.240821 -131.1427 -8.316690121E-051.24 1.24 -0.239369 -134.356 -8.521657321E-051.25 1.25 -0.237827 -135.0557 -8.56599802E-051.26 1.26 -0.2362 -133.2561 -8.450632688E-051.27 1.27 -0.234494 -129.0177 -8.179435156E-051.28 1.28 -0.232714 -122.4456 -7.759128259E-051.29 1.29 -0.230866 -113.6871 -7.199127799E-051.3 1.3 -0.228953 -102.9283 -6.511338259E-05
1.31 1.31 -0.226982 -90.39052 -5.709904622E-051.32 1.32 -0.224956 -76.32567 -4.810925353E-051.33 1.33 -0.222879 -61.01114 -3.832132307E-05
1.34 1.34 -0.220756 -44.74452 -2.792543864E-051.35 1.35 -0.21859 -27.83778 -1.712098014E-051.36 1.36 -0.216385 -10.61137 -6.112724105E-061.37 1.37 -0.214145 6.6118582 4.893013949E-061.38 1.38 -0.211873 23.512628 1.569222345E-051.39 1.39 -0.209572 39.781145 2.608695763E-051.4 1.4 -0.207246 55.122734 3.588893865E-05
1.41 1.41 -0.204897 69.263136 4.492294372E-051.42 1.42 -0.202528 81.953373 5.302991191E-051.43 1.43 -0.200142 92.974089 6.006971708E-051.44 1.44 -0.197741 102.13929 6.592355907E-051.45 1.45 -0.195328 109.29944 7.049593311E-051.46 1.46 -0.192905 114.3438 7.371614555E-051.47 1.47 -0.190475 117.20212 7.553935273E-051.48 1.48 -0.188038 117.84543 7.59471089E-051.49 1.49 -0.185598 116.28615 7.494741865E-051.5 1.5 -0.183156 112.57743 7.257429805E-05
1.51 1.51 -0.180715 106.81167 6.888685822E-051.52 1.52 -0.178274 99.118425 6.396793353E-051.53 1.53 -0.175838 89.661551 5.792228478E-051.54 1.54 -0.173406 78.635817 5.087441556E-051.55 1.55 -0.17098 66.262942 4.29660463E-051.56 1.56 -0.168562 52.787189 3.435329684E-051.57 1.57 -0.166152 38.470588 2.520363279E-051.58 1.58 -0.163753 23.587881 1.569263508E-051.59 1.59 -0.161365 8.4212864 6.000654404E-061.6 1.6 -0.158989 -6.744817 -3.690585997E-06
1.61 1.61 -0.156627 -21.62919 -1.320137572E-051.62 1.62 -0.154279 -35.95891 -2.235732805E-051.63 1.63 -0.151946 -49.47434 -3.099255572E-051.64 1.64 -0.149628 -61.93381 -3.895265412E-051.65 1.65 -0.147328 -73.11788 -4.609743882E-051.66 1.66 -0.145045 -82.8332 -5.230338917E-051.67 1.67 -0.14278 -90.91578 -5.746575611E-051.68 1.68 -0.140534 -97.2337 -6.150029862E-051.69 1.69 -0.138308 -101.6892 -6.434462071E-051.7 1.7 -0.136101 -104.2203 -6.595908856E-05
1.71 1.71 -0.133914 -104.8011 -6.632731549E-051.72 1.72 -0.131749 -103.4425 -6.545621031E-051.73 1.73 -0.129604 -100.1909 -6.337559323E-051.74 1.74 -0.127482 -95.12764 -6.013739088E-051.75 1.75 -0.125381 -88.36652 -5.581443033E-051.76 1.76 -0.123302 -80.0517 -5.04988586E-051.77 1.77 -0.121246 -70.35454 -4.430022126E-051.78 1.78 -0.119213 -59.47018 -3.734323946E-05
1.79 1.79 -0.117203 -47.6136 -2.976532986E-051.8 1.8 -0.115216 -35.01548 -2.171391645E-05
1.81 1.81 -0.113253 -21.91771 -1.334358615E-051.82 1.82 -0.111313 -8.568795 -4.813142979E-061.83 1.83 -0.109397 4.7808371 3.717383756E-061.84 1.84 -0.107505 17.883495 1.208972106E-051.85 1.85 -0.105636 30.498787 2.015026852E-051.86 1.86 -0.103791 42.398003 2.775289591E-051.87 1.87 -0.101971 53.368227 3.476157143E-051.88 1.88 -0.100174 63.21611 4.105277385E-051.89 1.89 -0.098401 71.771246 4.651764605E-051.9 1.9 -0.096652 78.889075 5.106385298E-05
1.91 1.91 -0.094927 84.453287 5.461711271E-051.92 1.92 -0.093226 88.377662 5.712237587E-051.93 1.93 -0.091549 90.607343 5.854463537E-051.94 1.94 -0.089895 91.119508 5.886935553E-051.95 1.95 -0.088265 89.92344 5.810251681E-051.96 1.96 -0.086659 87.060005 5.627027951E-051.97 1.97 -0.085076 82.600544 5.341827689E-051.98 1.98 -0.083516 76.645217 4.961055486E-051.99 1.99 -0.081979 69.320827 4.492818191E-05
2 2 -0.080466 60.778178 3.946755844E-052.01 2.01 -0.078975 51.189013 3.333846044E-052.02 2.02 -0.077507 40.742597 2.666185646E-052.03 2.03 -0.076062 29.642017 1.956754112E-052.04 2.04 -0.074639 18.100262 1.219163074E-052.05 2.05 -0.073238 6.3361649 4.673969405E-062.06 2.06 -0.07186 -5.429723 -2.84450575E-062.07 2.07 -0.070503 -16.97924 -1.022439049E-052.08 2.08 -0.069168 -28.10063 -1.733038218E-052.09 2.09 -0.067854 -38.5924 -2.403374422E-052.1 2.1 -0.066562 -48.26696 -3.021462159E-05
2.11 2.11 -0.06529 -56.95393 -3.57641662E-052.12 2.12 -0.064039 -64.50312 -4.058643484E-052.13 2.13 -0.062809 -70.78709 -4.460002683E-052.14 2.14 -0.0616 -75.70326 -4.773943397E-052.15 2.15 -0.06041 -79.17555 -4.995608099E-052.16 2.16 -0.059241 -81.15551 -5.121904038E-052.17 2.17 -0.058091 -81.62288 -5.151541215E-052.18 2.18 -0.056961 -80.58567 -5.085036501E-052.19 2.19 -0.05585 -78.07973 -4.924684198E-052.2 2.2 -0.054758 -74.16775 -4.674493958E-05
2.21 2.21 -0.053685 -68.9378 -4.340097572E-052.22 2.22 -0.05263 -62.50142 -3.928626688E-052.23 2.23 -0.051594 -54.99132 -3.448564065E-05
2.24 2.24 -0.050575 -46.55866 -2.909571397E-052.25 2.25 -0.049575 -37.37003 -2.322297161E-052.26 2.26 -0.048592 -27.60423 -1.698168278E-052.27 2.27 -0.047627 -17.44881 -1.049169619E-052.28 2.28 -0.046679 -7.096442 -3.876155964E-062.29 2.29 -0.045748 3.2586217 2.740818611E-062.3 2.3 -0.044833 13.424236 9.23644583E-06
2.31 2.31 -0.043935 23.213877 1.549154414E-052.32 2.32 -0.043053 32.450045 2.139270306E-052.33 2.33 -0.042187 40.967456 2.683432324E-052.34 2.34 -0.041337 48.615973 3.172048919E-052.35 2.35 -0.040502 55.263225 3.596664189E-052.36 2.36 -0.039683 60.79687 3.950102228E-052.37 2.37 -0.038879 65.12645 4.226586164E-052.38 2.38 -0.038089 68.184838 4.421829928E-052.39 2.39 -0.037315 69.92922 4.533101371E-052.4 2.4 -0.036554 70.341626 4.559255863E-05
2.41 2.41 -0.035808 69.428988 4.500740085E-052.42 2.42 -0.035076 67.222737 4.359566257E-052.43 2.43 -0.034357 63.777955 4.139257618E-052.44 2.44 -0.033652 59.172089 3.844766481E-052.45 2.45 -0.032961 53.503272 3.482366674E-052.46 2.46 -0.032282 46.888273 3.059522666E-052.47 2.47 -0.031617 39.46013 2.584738035E-052.48 2.48 -0.030964 31.365499 2.067386337E-052.49 2.49 -0.030323 22.76179 1.517527694E-052.5 2.5 -0.029695 13.814123 9.457146592E-06
2.51 2.51 -0.029079 4.6921873 3.627910926E-062.52 2.52 -0.028474 -4.432961 -2.20312168E-062.53 2.53 -0.027882 -13.39209 -7.927809976E-062.54 2.54 -0.0273 -22.02088 -1.344117274E-052.55 2.55 -0.026731 -30.16299 -1.864330119E-052.56 2.56 -0.026172 -37.67278 -2.344115626E-052.57 2.57 -0.025624 -44.41795 -2.775021876E-052.58 2.58 -0.025087 -50.28185 -3.149596338E-052.59 2.59 -0.02456 -55.16543 -3.46151311E-052.6 2.6 -0.024044 -58.98893 -3.705677876E-05
2.61 2.61 -0.023538 -61.69311 -3.878308851E-052.62 2.62 -0.023041 -63.24016 -3.976992514E-052.63 2.63 -0.022555 -63.61413 -4.000713331E-052.64 2.64 -0.022078 -62.82101 -3.949857235E-052.65 2.65 -0.021611 -60.88838 -3.826189074E-052.66 2.66 -0.021153 -57.86462 -3.632804724E-052.67 2.67 -0.020704 -53.81784 -3.374059049E-052.68 2.68 -0.020265 -48.83438 -3.055471299E-05
2.69 2.69 -0.019834 -43.01698 -2.683609951E-052.7 2.7 -0.019411 -36.48274 -2.265959356E-05
2.71 2.71 -0.018997 -29.36075 -1.81077086E-052.72 2.72 -0.018592 -21.78961 -1.326901342E-052.73 2.73 -0.018194 -13.91469 -8.23642293E-062.74 2.74 -0.017805 -5.885418 -3.105427043E-062.75 2.75 -0.017424 2.1475513 2.027708621E-062.76 2.76 -0.01705 10.035164 7.067736741E-062.77 2.77 -0.016684 17.632694 1.192218366E-052.78 2.78 -0.016325 24.802389 1.650303405E-052.79 2.79 -0.015974 31.415943 2.072831434E-052.8 2.8 -0.01563 37.356777 2.452354673E-05
2.81 2.81 -0.015293 42.522068 2.782304818E-052.82 2.82 -0.014963 46.824511 3.057105203E-052.83 2.83 -0.01464 50.19376 3.272263334E-052.84 2.84 -0.014323 52.577554 3.424442302E-052.85 2.85 -0.014013 53.942481 3.511509977E-052.86 2.86 -0.013709 54.274396 3.532565315E-052.87 2.87 -0.013411 53.578469 3.487941546E-052.88 2.88 -0.01312 51.878876 3.379186429E-052.89 2.89 -0.012835 49.218144 3.209020204E-052.9 2.9 -0.012555 45.65616 2.981272259E-05
2.91 2.91 -0.012282 41.268867 2.700797914E-052.92 2.92 -0.012014 36.146685 2.373377102E-052.93 2.93 -0.011752 30.392667 2.005597004E-052.94 2.94 -0.011495 24.120457 1.604721009E-052.95 2.95 -0.011244 17.452058 1.178546567E-052.96 2.96 -0.010998 10.515484 7.352547039E-062.97 2.97 -0.010757 3.4423162 2.832540649E-062.98 2.98 -0.010521 -3.634777 -1.689775373E-062.99 2.99 -0.01029 -10.58451 -6.130511251E-06
3 3 -0.010064 -17.27941 -1.040821172E-05
delta_xdot delta_xdoubledot x_double dot x_dot x0 0 0.15456 0 0
0.002318 0 0.1439 0.0023 0.000010.002159 0 0.1309 0.0045 0.000040.001964 0 0.1159 0.0064 0.000090.001738 0.000E+00 0.0990 0.0082 0.000160.001486 0.000E+00 0.0807 0.0097 0.000250.001211 0.000E+00 0.0613 0.0109 0.000350.000920 0.000E+00 0.0412 0.0118 0.000460.000617 -3.539E-16 0.0206 0.0124 0.000580.000310 -6.314E-16 0.0001 0.0127 0.000700.000002 -1.857E-16 -0.0200 0.0127 0.00083-0.000300 2.845E-16 -0.0394 0.0124 0.00096-0.000591 0.000E+00 -0.0577 0.0118 0.00108-0.000865 0.000E+00 -0.0745 0.0110 0.00120-0.001118 0.000E+00 -0.0897 0.0099 0.00130-0.001345 -4.302E-16 -0.1029 0.0085 0.00140-0.001543 0.000E+00 -0.1139 0.0070 0.00148-0.001708 0.000E+00 -0.1225 0.0053 0.00154-0.001838 0.000E+00 -0.1287 0.0034 0.00159-0.001930 0.000E+00 -0.1323 0.0015 0.00161-0.001984 0.000E+00 -0.1332 -0.0005 0.00162-0.001998 0.000E+00 -0.1316 -0.0025 0.00161-0.001974 0.000E+00 -0.1275 -0.0045 0.00158-0.001912 0.000E+00 -0.1209 -0.0064 0.00153-0.001813 0.000E+00 -0.1120 -0.0082 0.00146-0.001680 0.000E+00 -0.1011 -0.0099 0.00137-0.001517 0.000E+00 -0.0883 -0.0114 0.00127-0.001325 0.000E+00 -0.0740 -0.0127 0.00115-0.001109 -3.192E-16 -0.0583 -0.0138 0.00102-0.000874 -4.302E-16 -0.0416 -0.0147 0.00088-0.000625 0.000E+00 -0.0243 -0.0153 0.00073-0.000365 0.000E+00 -0.0066 -0.0157 0.00057-0.000100 -5.100E-16 0.0110 -0.0158 0.000410.000166 -8.101E-16 0.0284 -0.0156 0.000260.000426 -7.147E-16 0.0451 -0.0152 0.000100.000676 -3.331E-16 0.0608 -0.0145 -0.000050.000913 0.000E+00 0.0754 -0.0136 -0.000190.001130 0.000E+00 0.0884 -0.0125 -0.000320.001326 0.000E+00 0.0997 -0.0112 -0.000440.001495 0.000E+00 0.1091 -0.0097 -0.000550.001636 0.000E+00 0.1164 -0.0080 -0.000640.001746 0.000E+00 0.1215 -0.0063 -0.000710.001823 0.000E+00 0.1244 -0.0045 -0.000770.001866 0.000E+00 0.1250 -0.0026 -0.00081
0.001875 0.000E+00 0.1233 -0.0007 -0.000830.001850 0.000E+00 0.1194 0.0011 -0.00083
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0.0004041721 1.47104550763E-15 0.0296405016 -0.002414 -0.0002118010780.0004446075 1.50573997715E-15 0.031756696 -0.00197 -0.0002344606720.0004763504 1.49186218934E-15 0.0332605115 -0.001493 -0.000252568380.0004989077 1.45022882592E-15 0.0341307869 -0.000994 -0.0002658373940.0005119618 1.49880108324E-15 0.0343583439 -0.000482 -0.0002740738170.0005153752 1.49880108324E-15 0.0339460255 3.304E-05 -0.0002771792440.0005091904 1.49186218934E-15 0.0329085114 0.0005422 -0.0002751515350.0004936277 1.49186218934E-15 0.0312719156 0.0010359 -0.0002680837980.0004690787 1.54737334057E-15 0.0290731765 0.0015049 -0.0002561616150.0004360976 1.55431223448E-15 0.0263592527 0.001941 -0.0002396585810.0003953888 1.57512891619E-15 0.0231861423 0.0023364 -0.0002189302660.0003477921 1.43982048506E-15 0.0196177445 0.0026842 -0.0001944067190.0002942662 1.35308431126E-15 0.015724588 0.0029785 -0.0001665836710.0002358688 1.40165656859E-15 0.0115824501 0.0032144 -0.0001360126190.0001737368 1.60461921528E-15 0.0072708934 0.0033881 -0.0001032899860.0001090634 1.69655955951E-15 0.0028717483 0.0034972 -6.904556292E-054.307622E-05 1.56558793707E-15 -0.0015324289 0.0035402 -3.393046315E-05-2.29864E-05 1.68766910169E-15 -0.005859896 0.0035172 1.395190002E-06-8.78984E-05 1.60201713006E-15 -0.0100312314 0.0034293 3.627460546E-05-0.000150468 1.58727198052E-15 -0.013970782 0.0032789 7.006646975E-05-0.000209562 1.64104840827E-15 -0.017608025 0.0030693 0.0001021566718-0.00026412 1.62370117351E-15 -0.020878819 0.0028052 0.0001319693944
-0.000313182 1.5959455979E-15 -0.0237265244 0.002492 0.0001589773735-0.000355898 1.59941504485E-15 -0.0261029708 0.0021361 0.0001827111445-0.000391545 1.63064006742E-15 -0.0279692575 0.0017446 0.0002027671146-0.000419539 1.65145674913E-15 -0.0292963733 0.001325 0.0002188143247-0.000439446 1.68615121865E-15 -0.0300656261 0.0008856 0.0002305997903-0.000450984 1.67921232475E-15 -0.0302688756 0.0004346 0.0002379523374-0.000454033 1.66533453694E-15 -0.0299085691 -1.943E-05 0.000240784878-0.000448629 1.65839564303E-15 -0.0289975793 -0.000468 0.0002390951027-0.000434964 1.64451785523E-15 -0.0275588509 -0.000903 0.0002329645914-0.000413383 1.62370117351E-15 -0.025624865 -0.001316 0.0002225563797
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.001
-0.0005
0
0.0005
0.001
0.0015
0.002
x
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.02
-0.015
-0.01
-0.005
0
0.005
0.01
0.015
x_dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15000
-0.10000
-0.05000
0.00000
0.05000
0.10000
0.15000
0.20000
x_double dot
0 0.51 1.02 1.53 2.04 2.54999999999999
-0.15000
-0.10000
-0.05000
0.00000
0.05000
0.10000
0.15000
0.20000
x_double dot
Wilson's Theta Method time step t F(t) delta_F(t) F_n+theta F_bar0 0 10 0 0 0
W= 25 kips 0.01 0.01 9.6070327 -0.39 9.603 29.7ζ= 0.07 0.02 0.02 9.2278223 -0.38 9.224 115.0I 248 in^4 0.03 0.03 8.8619169 -0.37 8.858 251.9
F_o 10 kips 0.04 0.04 8.5088789 -0.35 8.505 435.8E= 30000 ksi 0.05 0.05 8.1682843 -0.34 8.165 661.5
L1= 192 in 0.06 0.06 7.8397229 -0.33 7.836 923.6L2= 264 in 0.07 0.07 7.5227971 -0.32 7.520 1216.6
0.08 0.08 7.2171221 -0.31 7.214 1534.3Ω= 10 Hz 0.09 0.09 6.9223252 -0.29 6.919 1870.8
K_e 8000 kips/in 0.1 0.1 6.6380456 -0.28 6.635 2220.0t_d= 0.75 sec 0.11 0.11 6.3639339 -0.27 6.361 2575.6
m= 64.70 lb*s^2/ 0.12 0.12 6.0996519 -0.26 6.097 2931.60.13 0.13 5.844872 -0.25 5.842 3282.1
c= 100.72 kip*sec/in 0.14 0.14 5.5992772 -0.25 5.597 3621.4h= 0.01 sec 0.15 0.15 5.3625604 -0.24 5.360 3944.1
k_i= 3843415 kip/in 0.16 0.16 5.1344245 -0.23 5.132 4245.0w_n= 11.12 rad/sec 0.17 0.17 4.9145818 -0.22 4.912 4519.5
theta= 1.01 0.18 0.18 4.7027538 -0.21 4.701 4763.40.19 0.19 4.4986709 -0.20 4.497 4972.80.2 0.2 4.3020723 -0.20 4.300 5144.6
0.21 0.21 4.1127053 -0.19 4.111 5276.10.22 0.22 3.9303254 -0.18 3.929 5365.10.23 0.23 3.7546962 -0.18 3.753 5410.10.24 0.24 3.5855885 -0.17 3.584 5410.30.25 0.25 3.4227808 -0.16 3.421 5365.40.26 0.26 3.2660586 -0.16 3.264 5275.60.27 0.27 3.1152144 -0.15 3.114 5141.80.28 0.28 2.9700474 -0.15 2.969 4965.40.29 0.29 2.8303632 -0.14 2.829 4748.40.3 0.3 2.6959738 -0.13 2.695 4493.3
0.31 0.31 2.5666972 -0.13 2.565 4202.90.32 0.32 2.4423575 -0.12 2.441 3880.70.33 0.33 2.3227843 -0.12 2.322 3530.20.34 0.34 2.2078129 -0.11 2.207 3155.60.35 0.35 2.0972838 -0.11 2.096 2761.20.36 0.36 1.991043 -0.11 1.990 2351.30.37 0.37 1.8889412 -0.10 1.888 1930.70.38 0.38 1.7908342 -0.10 1.790 1504.00.39 0.39 1.6965825 -0.09 1.696 1076.00.4 0.4 1.606051 -0.09 1.605 651.5
0.41 0.41 1.5191093 -0.09 1.518 234.90.42 0.42 1.4356311 -0.08 1.435 -169.20.43 0.43 1.3554943 -0.08 1.355 -556.5
0.44 0.44 1.278581 -0.08 1.278 -923.10.45 0.45 1.2047768 -0.07 1.204 -1265.2
0.46 0.46 1.1339716 -0.070805 1.1332635268 -1579.46398240.47 0.47 1.0660585 -0.067913 1.0653793197 -1862.87382890.48 0.48 1.0009343 -0.065124 1.0002830399 -2112.83750010.49 0.49 0.9384993 -0.062435 0.9378749688 -2327.1931133
0.5 0.5 0.8786571 -0.059842 0.8780587051 -2504.23226130.51 0.51 0.8213145 -0.057343 0.8207410598 -2642.71450710.52 0.52 0.7663813 -0.054933 0.7658319535 -2741.87590520.53 0.53 0.7137704 -0.052611 0.7132443174 -2801.43154120.54 0.54 0.6633977 -0.050373 0.6628939973 -2821.57214740.55 0.55 0.6151818 -0.048216 0.6146996603 -2802.95493220.56 0.56 0.5690441 -0.046138 0.5685827048 -2746.68882050.57 0.57 0.5249085 -0.044136 0.5244671731 -2654.31437710.58 0.58 0.4827017 -0.042207 0.4822796665 -2527.77873770.59 0.59 0.4423528 -0.040349 0.4419492631 -2369.4059343
0.6 0.6 0.403793 -0.03856 0.4034074388 -2181.86304840.61 0.61 0.3669564 -0.036837 0.3665879897 -1968.12267180.62 0.62 0.3317787 -0.035178 0.3314269577 -1731.42219230.63 0.63 0.2981984 -0.03358 0.2978625579 -1475.22045090.64 0.64 0.2661555 -0.032043 0.2658351091 -1203.15234390.65 0.65 0.2355926 -0.030563 0.2352869649 -918.981955710.66 0.66 0.2064538 -0.029139 0.206162449 -626.554821770.67 0.67 0.1786855 -0.027768 0.1784077907 -329.749917260.68 0.68 0.1522356 -0.02645 0.1519710633 -32.431965910.69 0.69 0.1270539 -0.025182 0.1268021247 261.59535271
0.7 0.7 0.1030922 -0.023962 0.1028525587 548.634737570.71 0.71 0.0803035 -0.022789 0.0800756197 825.138609620.72 0.72 0.0586428 -0.021661 0.0584261776 1087.74996370.73 0.73 0.0380664 -0.020576 0.0378606657 1333.34026710.74 0.74 0.0185324 -0.019534 0.0183370293 1559.04398570.75 0.75 0 -0.018532 -0.0001853237 1762.28936670.76 0.76 -0.01757 -0.01757 -0.0177455703 1940.82515930.77 0.77 -0.034215 -0.016645 -0.0343815191 2092.74300610.78 0.78 -0.049972 -0.015757 -0.0501296551 2216.49530130.79 0.79 -0.064876 -0.014904 -0.0650251831 2310.9083629
0.8 0.8 -0.078961 -0.014085 -0.0791020701 2375.1908320.81 0.81 -0.09226 -0.013299 -0.0923930856 2408.93726850.82 0.82 -0.104804 -0.012544 -0.1049298415 2412.12697430.83 0.83 -0.116625 -0.01182 -0.11674283 2385.11812970.84 0.84 -0.12775 -0.011126 -0.127861461 2328.63738870.85 0.85 -0.13821 -0.010459 -0.1383140978 2243.76512950.86 0.86 -0.14803 -0.00982 -0.1481280916 2131.91660740.87 0.87 -0.157238 -0.009208 -0.1573298155 1994.81930480.88 0.88 -0.165858 -0.008621 -0.1659446966 1834.4868124
0.89 0.89 -0.173917 -0.008058 -0.173997248 1653.18961620.9 0.9 -0.181436 -0.007519 -0.181511099 1453.4231948
0.91 0.91 -0.188439 -0.007003 -0.1885090246 1237.87385860.92 0.92 -0.194948 -0.006509 -0.1950129744 1009.3827850.93 0.93 -0.200984 -0.006036 -0.2010441 770.908715320.94 0.94 -0.206567 -0.005583 -0.2066227817 525.489793550.95 0.95 -0.211717 -0.00515 -0.2117686548 276.205024460.96 0.96 -0.216453 -0.004736 -0.2165006344 26.1358306310.97 0.97 -0.220794 -0.00434 -0.2208369401 -221.67182360.98 0.98 -0.224755 -0.003962 -0.2247951188 -464.244286060.99 0.99 -0.228356 -0.003601 -0.2283920682 -698.71561333
1 1 -0.231612 -0.003255 -0.2316440585 -922.361099081.01 1.01 -0.234537 -0.002926 -0.2345667536 -1132.62855281.02 1.02 -0.237149 -0.002612 -0.2371752322 -1327.16698041.03 1.03 -0.239461 -0.002312 -0.239484007 -1503.85235631.04 1.04 -0.241487 -0.002026 -0.2415070449 -1660.81021561.05 1.05 -0.24324 -0.001753 -0.2432577851 -1796.43483971.06 1.06 -0.244734 -0.001494 -0.2447491574 -1909.40485221.07 1.07 -0.245981 -0.001247 -0.2459935997 -1998.69509081.08 1.08 -0.246993 -0.001012 -0.2470030747 -2063.58466581.09 1.09 -0.247781 -0.000788 -0.2477890869 -2103.6611668
1.1 1.1 -0.248357 -0.000576 -0.2483626976 -2118.82102461.11 1.11 -0.248731 -0.000374 -0.2487345411 -2109.26608411.12 1.12 -0.248913 -0.000182 -0.2489148387 -2075.49648731.13 1.13 -0.248913 -3.934E-07 -0.2489134139 -2018.30001271.14 1.14 -0.248741 0.000172 -0.2487397055 -1938.73805351.15 1.15 -0.248406 0.0003353 -0.2484027816 -1838.12846111.16 1.16 -0.247916 0.0004899 -0.2479113522 -1718.02550941.17 1.17 -0.24728 0.0006361 -0.2472737821 -1580.1972731.18 1.18 -0.246506 0.0007743 -0.2464981026 -1426.60073241.19 1.19 -0.245601 0.0009048 -0.2455920238 -1259.35495
1.2 1.2 -0.244573 0.0010278 -0.2445629454 -1080.71267151.21 1.21 -0.243429 0.0011438 -0.2434179682 -893.030728031.22 1.22 -0.242176 0.001253 -0.2421639043 -698.73961721.23 1.23 -0.240821 0.0013556 -0.2408072877 -500.312649981.24 1.24 -0.239369 0.0014519 -0.2393543838 -300.235047161.25 1.25 -0.237827 0.0015423 -0.2378111995 -100.973364831.26 1.26 -0.2362 0.0016269 -0.2361834922 95.0543819281.27 1.27 -0.234494 0.0017059 -0.2344767788 285.50754191.28 1.28 -0.232714 0.0017797 -0.2326963443 468.150260631.29 1.29 -0.230866 0.0018484 -0.2308472503 640.87720862
1.3 1.3 -0.228953 0.0019123 -0.2289343432 801.737316291.31 1.31 -0.226982 0.0019715 -0.2269622617 948.955255631.32 1.32 -0.224956 0.0020263 -0.2249354446 1080.95044021.33 1.33 -0.222879 0.0020768 -0.2228581382 1196.3533491
1.34 1.34 -0.220756 0.0021233 -0.220734403 1294.01901671.35 1.35 -0.21859 0.0021659 -0.218568121 1373.03756511.36 1.36 -0.216385 0.0022047 -0.2163630019 1432.74169841.37 1.37 -0.214145 0.0022401 -0.2141225897 1472.71111161.38 1.38 -0.211873 0.002272 -0.2118502686 1492.7738081.39 1.39 -0.209572 0.0023007 -0.2095492694 1493.0043585
1.4 1.4 -0.207246 0.0023263 -0.2072226748 1473.71916841.41 1.41 -0.204897 0.002349 -0.2048734251 1435.46885771.42 1.42 -0.202528 0.0023689 -0.2025043236 1379.02789231.43 1.43 -0.200142 0.0023861 -0.200118042 1305.38163481.44 1.44 -0.197741 0.0024008 -0.1977171247 1215.71101351.45 1.45 -0.195328 0.002413 -0.1953039944 1111.37503451.46 1.46 -0.192905 0.0024229 -0.1928809563 993.891383451.47 1.47 -0.190475 0.0024307 -0.1904502028 864.915384011.48 1.48 -0.188038 0.0024363 -0.1880138178 726.217596741.49 1.49 -0.185598 0.00244 -0.1855737807 579.66035249
1.5 1.5 -0.183156 0.0024418 -0.183131971 427.173524751.51 1.51 -0.180715 0.0024418 -0.1806901713 270.729849011.52 1.52 -0.178274 0.0024401 -0.178250072 112.320098441.53 1.53 -0.175838 0.0024368 -0.1758132745 -46.0715782111.54 1.54 -0.173406 0.002432 -0.1733812945 -202.491856851.55 1.55 -0.17098 0.0024258 -0.1709555658 -355.04168741.56 1.56 -0.168562 0.0024182 -0.1685374436 -501.898716641.57 1.57 -0.166152 0.0024093 -0.166128207 -641.338426041.58 1.58 -0.163753 0.0023992 -0.1637290629 -771.753745351.59 1.59 -0.161365 0.002388 -0.1613411484 -891.67292555
1.6 1.6 -0.158989 0.0023757 -0.1589655337 -999.775479041.61 1.61 -0.156627 0.0023624 -0.156603225 -1094.90602181.62 1.62 -0.154279 0.0023482 -0.1542551671 -1176.08588031.63 1.63 -0.151946 0.0023331 -0.1519222456 -1242.52235571.64 1.64 -0.149628 0.0023171 -0.1496052899 -1293.61556761.65 1.65 -0.147328 0.0023004 -0.147305075 -1328.96283171.66 1.66 -0.145045 0.0022829 -0.1450223244 -1348.36055491.67 1.67 -0.14278 0.0022648 -0.1427577116 -1351.80366351.68 1.68 -0.140534 0.002246 -0.1405118628 -1339.48260891.69 1.69 -0.138308 0.0022267 -0.1382853585 -1311.7780263
1.7 1.7 -0.136101 0.0022068 -0.1360787357 -1269.25314571.71 1.71 -0.133914 0.0021864 -0.13389249 -1212.64408481.72 1.72 -0.131749 0.0021656 -0.1317270767 -1142.84817441.73 1.73 -0.129604 0.0021444 -0.1295829134 -1060.91048941.74 1.74 -0.127482 0.0021227 -0.1274603812 -968.008778721.75 1.75 -0.125381 0.0021008 -0.1253598263 -865.437002791.76 1.76 -0.123302 0.0020785 -0.1232815618 -754.587701341.77 1.77 -0.121246 0.0020559 -0.1212258691 -636.933426371.78 1.78 -0.119213 0.0020331 -0.1191929994 -514.00748121
1.79 1.79 -0.117203 0.0020101 -0.1171831749 -387.384212531.8 1.8 -0.115216 0.0019868 -0.1151965905 -258.65910351
1.81 1.81 -0.113253 0.0019634 -0.1132334148 -129.428914831.82 1.82 -0.111313 0.0019399 -0.1112937914 -1.27211601621.83 1.83 -0.109397 0.0019162 -0.1093778401 124.270157791.84 1.84 -0.107505 0.0018924 -0.1074856582 245.712398551.85 1.85 -0.105636 0.0018686 -0.1056173215 361.642055121.86 1.86 -0.103791 0.0018447 -0.1037728852 470.735702881.87 1.87 -0.101971 0.0018207 -0.1019523851 571.773872911.88 1.88 -0.100174 0.0017968 -0.1001558388 663.654381.89 1.89 -0.098401 0.0017728 -0.0983832461 745.4040093
1.9 1.9 -0.096652 0.0017489 -0.0966345904 816.188443981.91 1.91 -0.094927 0.001725 -0.0949098394 875.320339211.92 1.92 -0.093226 0.0017011 -0.0932089458 922.26547251.93 1.93 -0.091549 0.0016773 -0.0915318484 956.646924411.94 1.94 -0.089895 0.0016536 -0.0898784725 978.247269061.95 1.95 -0.088265 0.00163 -0.088248731 987.008778161.96 1.96 -0.086659 0.0016064 -0.0866425249 983.031666721.97 1.97 -0.085076 0.001583 -0.0850597441 966.570432041.98 1.98 -0.083516 0.0015597 -0.0835002679 938.028360351.99 1.99 -0.081979 0.0015365 -0.0819639659 897.95029633
2 2 -0.080466 0.0015135 -0.0804506983 847.013791132.01 2.01 -0.078975 0.0014906 -0.0789603165 786.018761992.02 2.02 -0.077507 0.0014679 -0.077492664 715.875813132.03 2.03 -0.076062 0.0014453 -0.0760475767 637.593381562.04 2.04 -0.074639 0.0014229 -0.0746248831 552.263883172.05 2.05 -0.073238 0.0014007 -0.0732244054 461.049044312.06 2.06 -0.07186 0.0013787 -0.0718459594 365.164610852.07 2.07 -0.070503 0.0013568 -0.0704893556 265.864631562.08 2.08 -0.069168 0.0013352 -0.0691543987 164.425514882.09 2.09 -0.067854 0.0013137 -0.067840889 62.130057694
2.1 2.1 -0.066562 0.0012925 -0.0665486221 -39.7483579222.11 2.11 -0.06529 0.0012714 -0.0652773895 -139.961209052.12 2.12 -0.064039 0.0012506 -0.0640269791 -237.299733832.13 2.13 -0.062809 0.00123 -0.0627971753 -330.609116792.14 2.14 -0.0616 0.0012096 -0.0615877593 -418.80179512.15 2.15 -0.06041 0.0011895 -0.0603985098 -500.869736152.16 2.16 -0.059241 0.0011695 -0.059229203 -575.89555232.17 2.17 -0.058091 0.0011498 -0.0580796127 -643.062334332.18 2.18 -0.056961 0.0011303 -0.0569495109 -701.662103182.19 2.19 -0.05585 0.001111 -0.0558386681 -751.1027977
2.2 2.2 -0.054758 0.001092 -0.0547468531 -790.913735412.21 2.21 -0.053685 0.0010732 -0.0536738338 -820.749503012.22 2.22 -0.05263 0.0010546 -0.052619377 -840.392253142.23 2.23 -0.051594 0.0010363 -0.0515832488 -849.75240393
2.24 2.24 -0.050575 0.0010182 -0.0505652148 -848.867757312.25 2.25 -0.049575 0.0010004 -0.04956504 -837.901071262.26 2.26 -0.048592 0.0009827 -0.0485824896 -817.136139622.27 2.27 -0.047627 0.0009653 -0.0476173285 -786.972450412.28 2.28 -0.046679 0.0009482 -0.0466693219 -747.918509972.29 2.29 -0.045748 0.0009313 -0.0457382354 -700.58393524
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2.4 2.4 -0.036554 0.0007604 -0.0365466564 122.170753122.41 2.41 -0.035808 0.0007462 -0.0358006115 199.073451262.42 2.42 -0.035076 0.0007322 -0.0350685234 272.142800582.43 2.43 -0.034357 0.0007185 -0.0343501744 340.547569922.44 2.44 -0.033652 0.000705 -0.0336453481 403.526370852.45 2.45 -0.032961 0.0006917 -0.0329538303 460.395904562.46 2.46 -0.032282 0.0006786 -0.0322754087 510.55812532.47 2.47 -0.031617 0.0006657 -0.0316098728 553.506249782.48 2.48 -0.030964 0.000653 -0.0309570144 588.829556462.49 2.49 -0.030323 0.0006405 -0.0303166269 616.21693471
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2.6 2.6 -0.024044 0.0005163 -0.0240385788 404.997778432.61 2.61 -0.023538 0.0005061 -0.0235325336 348.533198082.62 2.62 -0.023041 0.0004962 -0.0230364755 288.533271072.63 2.63 -0.022555 0.0004863 -0.0225502294 225.790019892.64 2.64 -0.022078 0.0004767 -0.0220736223 161.116788862.65 2.65 -0.021611 0.0004672 -0.0216064837 95.3379582812.66 2.66 -0.021153 0.0004579 -0.0211486452 29.2786820392.67 2.67 -0.020704 0.0004488 -0.0206999409 -36.2452261252.68 2.68 -0.020265 0.0004398 -0.020260207 -100.4371361
2.69 2.69 -0.019834 0.000431 -0.0198292822 -162.529058282.7 2.7 -0.019411 0.0004224 -0.0194070074 -221.79060405
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3 3 -0.010064 0.000226 -0.0100616184 238.62642535
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