método de 3 capas

9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 k1= 2 k1= 20 k1= H k2 A ZZ1 ZZ2 (ZZ1 - RR1) (ZZ2 - RR2) ZZ1 ZZ2 (ZZ1 - RR1) (ZZ2 - RR2) ZZ1 ZZ2 ### 0.1 0.42950 0.00896 0.70623 0.01716 0.14529 0.00810 1.81178 0.01542 0.03481 0.00549 ### 0.2 0.78424 0.03493 0.97956 0.06647 0.38799 0.03170 3.76886 0.06003 0.11491 0.02167 ### 2 0.4 0.98044 0.12667 0.70970 0.23531 0.78651 0.11650 5.16717 0.21640 0.33218 0.08229 ### 0.8 0.99434 0.36932 0.22319 0.63003 1.02218 0.34941 3.43631 0.60493 0.72695 0.27307 ### 1.6 0.99364 0.72113 -0.19982 0.97707 0.99060 0.69014 1.15211 0.97146 1.00203 0.63916 ### 0.125 3.2 0.99922 0.96148 -0.28916 0.84030 0.99893 0.93487 -0.06894 0.88358 1.00828 0.92560 ### 0.1 0.43022 0.00228 0.69332 0.03467 0.14447 0.00182 1.80664 0.02985 0.03336 0.00128 ### 0.2 0.78414 0.00899 0.92086 0.13541 0.38469 0.00716 3.74573 0.11697 0.10928 0.00509 ### 20 0.4 0.97493 0.03392 0.46583 0.49523 0.77394 0.02710 5.05489 0.43263 0.31094 0.01972 ### 0.8 0.97806 0.11350 -0.66535 1.49612 0.98610 0.09061 2.92533 1.33736 0.65934 0.07045 ### 1.6 0.96921 0.31263 -2.82859 3.28512 0.93712 0.24528 -1.27093 2.99215 0.87931 0.20963 ### 3.2 0.98591 0.68433 -5.27906 5.05952 0.96330 0.55490 -7.35384 5.06489 0.93309 0.49938 ### 0.1 0.15524 0.00710 0.28362 0.01353 0.04381 0.00530 0.63215 0.00962 0.00909 0.00259 ### 0.2 0.42809 0.02783 0.70225 0.05278 0.14282 0.02091 1.83766 0.03781 0.03269 0.01027 ### 2 0.4 0.77939 0.10306 0.96634 0.19178 0.37882 0.07933 3.86779 0.14159 0.10684 0.04000 ### 0.8 0.96703 0.31771 0.66885 0.55211 0.75904 0.26278 5.50796 0.44710 0.30477 0.14513 ### 1.6 0.98156 0.66753 0.17331 0.95080 0.98743 0.61673 4.24281 0.90115 0.66786 0.42940 ### 0.25 3.2 0.99840 0.93798 -0.05691 0.89390 1.00064 0.91258 1.97494 0.93254 0.98447 0.84545 ### 0.1 0.15436 0.00179 0.25780 0.02728 0.04236 0.00123 0.65003 0.01930 0.00776 0.00065 ### 0.2 0.42462 0.00706 0.67115 0.10710 0.13708 0.00488 1.90693 0.07623 0.02741 0.00257 ### 20 0.4 0.76647 0.02697 0.84462 0.39919 0.35716 0.01888 4.13976 0.29072 0.08634 0.01014 ### 0.8 0.92757 0.09285 0.21951 1.26565 0.68947 0.06741 6.48948 0.98565 0.23137 0.03844 ### 1.6 0.91393 0.26454 -1.22411 2.94860 0.85490 0.20115 6.95639 2.55231 0.46835 0.13148 ### 3.2 0.95243 0.60754 -3.04320 4.89878 0.90325 0.48647 6.05854 4.76234 0.71083 0.37342 ### 0.1 0.04330 0.00465 0.08250 0.00878 0.01122 0.00259 0.17997 0.00440 0.00215 0.00094 ### 0.2 0.15325 0.01836 0.28318 0.03454 0.04172 0.01028 0.64779 0.01744 0.00826 0.00373 ### 2 0.4 0.42077 0.06974 0.70119 0.12954 0.13480 0.03998 1.89817 0.06722 0.02946 0.01474 ### 0.8 0.75683 0.23256 0.96681 0.41187 0.35175 0.14419 4.09592 0.23476 0.09508 0.05622 ### 1.6 0.93447 0.56298 0.70726 0.85930 0.70221 0.42106 6.22002 0.62046 0.27135 0.19358 ### 0.5 3.2 0.98801 0.88655 0.33878 0.96353 0.97420 0.82256 5.41828 0.93831 0.62399 0.52912 ### 0.1 0.04193 0.00117 0.08044 0.01778 0.00990 0.00063 0.19872 0.00911 0.00149 0.00023 ### 0.2 0.14808 0.00464 0.27574 0.07027 0.03648 0.00251 0.72264 0.03620 0.00564 0.00094 ### 20 0.4 0.40086 0.01799 0.67174 0.26817 0.11448 0.00988 2.19520 0.14116 0.01911 0.00372 ### 0.8 0.69098 0.06476 0.86191 0.91168 0.27934 0.03731 5.24726 0.51585 0.05574 0.01453 ### 1.6 0.79338 0.19803 0.39588 2.38377 0.50790 0.12654 10.30212 1.59341 0.13946 0.05399 ### 3.2 0.85940 0.49238 -0.41078 4.47022 0.70903 0.35807 16.38520 3.69109 0.30247 0.18091 ### 0.1 0.01083 0.00241 0.02179 0.00453 0.00263 0.00100 0.04751 0.00160 0.00049 0.00029

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3 CAPAS12345678910111213141516k1=2k1=20k1=200Hk2AZZ1ZZ2(ZZ1 - RR1)(ZZ2 - RR2)ZZ1ZZ2(ZZ1 - RR1)(ZZ2 - RR2)ZZ1ZZ2(ZZ1 - RR1)(ZZ2 - RR2)0.130.10.429500.008960.706230.017160.145290.008101.811780.015420.034810.005493.022590.009690.130.20.784240.034930.979560.066470.387990.031703.768860.060030.114910.021678.024520.038120.1320.40.980440.126670.709700.235310.786510.116505.167170.216400.332180.0822917.641750.142860.130.80.994340.369320.223190.630031.022180.349413.436310.604930.726950.2730727.277010.452080.131.60.993640.72113-0.199820.977070.990600.690141.152110.971461.002030.6391623.386380.908610.130.1253.20.999220.96148-0.289160.840300.998930.93487-0.068940.883581.008280.9256011.870140.914690.130.10.430220.002280.693320.034670.144470.001821.806640.029850.033360.001283.177630.019800.130.20.784140.008990.920860.135410.384690.007163.745730.116970.109280.005098.660970.078270.13200.40.974930.033920.465830.495230.773940.027105.054890.432630.310940.0197220.122590.298870.130.80.978060.11350-0.665351.496120.986100.090612.925331.337360.659340.0704536.299431.016940.131.60.969210.31263-2.828593.285120.937120.24528-1.270932.992150.879310.2096349.408572.643130.133.20.985910.68433-5.279065.059520.963300.55490-7.353845.064890.933090.4993857.843694.898950.250.10.155240.007100.283620.013530.043810.005300.632150.009620.009090.002590.965530.004070.250.20.428090.027830.702250.052780.142820.020911.837660.037810.032690.010273.107630.016110.2520.40.779390.103060.966340.191780.378820.079333.867790.141590.106840.040008.378520.062210.250.80.967030.317710.668850.552110.759040.262785.507960.447100.304770.1451318.955340.218600.251.60.981560.667530.173310.950800.987430.616734.242810.901150.667860.4294031.189090.585530.250.253.20.998400.93798-0.056910.893901.000640.912581.974940.932540.984470.8454528.985000.891910.250.10.154360.001790.257800.027280.042360.001230.650030.019300.007760.000651.087380.008610.250.20.424620.007060.671150.107100.137080.004881.906930.076230.027410.002573.594480.034210.25200.40.766470.026970.844620.399190.357160.018884.139760.290720.086340.0101410.309230.133650.250.80.927570.092850.219511.265650.689470.067416.489480.985650.231370.0384426.414420.491350.251.60.913930.26454-1.224112.948600.854900.201156.956392.552310.468350.1314857.464091.538330.253.20.952430.60754-3.043204.898780.903250.486476.058544.762340.710830.3734299.290343.609640.520.10.043300.004650.082500.008780.011220.002590.179970.004400.002150.000940.266200.001280.520.20.153250.018360.283180.034540.041720.010280.647790.017440.008260.003730.987720.005090.5220.40.420770.069740.701190.129540.134800.039981.898170.067220.029460.014743.195800.019960.530.80.756830.232560.966810.411870.351750.144194.095920.234760.095080.056228.719730.074340.521.60.934470.562980.707260.859300.702210.421066.220020.620460.271350.1935820.157650.238380.520.53.20.988010.886550.338780.963530.974200.822565.418280.938310.623990.5291234.252290.549310.520.10.041930.001170.080440.017780.009900.000630.198720.009110.001490.000230.318470.002570.520.20.148080.004640.275740.070270.036480.002510.722640.036200.005640.000941.195980.010250.52200.40.400860.017990.671740.268170.114480.009882.195200.141160.019110.003721.027320.040470.520.80.690980.064760.861910.911680.279340.037315.247260.515850.055740.0145312.008850.154520.521.60.793380.198030.395882.383770.507900.1265410.302121.593410.139460.0539932.770280.538360.523.20.859400.49238-0.410784.470220.709030.3580716.385203.691090.302470.1809177.629431.56409121.000.10.010830.002410.021790.004530.002630.001000.047510.001600.000490.000290.068830.00035122.000.20.041760.009580.083370.017970.010290.003470.184810.006370.001950.001160.269660.00138124.0020.40.146650.037240.284910.069340.038100.015650.667270.024980.007460.004601.001310.00545128.000.80.399420.134010.713410.242500.121730.059381.974280.092680.026470.017973.249710.020921216.001.60.710320.386901.026800.636310.315750.200984.374070.292530.085560.066718.924420.073351232.0013.20.921120.758050.904820.975090.660410.533986.976950.654460.251860.2204720.833870.212881201.000.10.009630.000610.022490.009200.001930.000240.057370.003220.000270.000070.084690.000621202.000.20.036970.002410.086180.036540.007510.000980.224180.012830.001040.000280.333120.002481204.00200.40.128050.009500.296400.142410.027130.003870.824300.050630.003840.001101.254950.009851208.000.80.332630.035780.762920.518150.080270.015072.596720.192670.012360.004364.261000.0382512016.001.60.527210.120071.251681.565030.179610.055496.770140.663260.033790.0168312.918090.1398912032.003.20.655300.336691.707233.511280.343550.1834415.232521.886340.088590.0616736.042910.45544221.000.10.002500.001000.005550.001880.000590.000330.012190.000510.000110.000080.017370.00009222.000.20.009910.003970.021990.007500.002350.001300.048430.002030.000450.000330.069130.00036224.0020.40.038320.015690.084650.029500.009220.005180.188570.008030.001790.001310.271030.00142228.000.80.135160.059740.293650.110800.034120.020230.683820.030930.006850.005201.008080.005532216.001.60.366440.201450.750870.355150.109180.074442.041340.108640.024410.020033.275900.020432232.0023.20.673840.511561.172940.774340.291830.238524.604260.307090.080610.072489.021950.066382201.000.10.001810.000250.006520.003780.000330.000080.015680.000940.000050.000020.021600.000142202.000.20.007160.000990.025860.015070.001300.000310.062360.003740.000180.000070.086040.000582204.00200.40.027460.003940.100170.059580.005030.001230.244250.014860.000710.000300.338660.002292208.000.80.093960.015350.356410.227950.017820.004850.905940.057890.002610.001191.278350.0090122016.001.60.230650.055991.007850.783470.050120.018622.919940.211900.008190.004674.353110.0339022032.003.20.370010.178432.160332.132150.113310.067287.951040.677320.023410.0178413.268730.11666421.000.10.000570.000340.001470.000650.000130.000100.003120.000150.000030.000020.004370.00002422.000.20.002280.001370.005870.002600.000540.000390.012450.000290.000110.000090.017460.00009424.0020.40.009050.005440.023240.010320.002140.001540.049440.002350.000420.000360.069470.00036428.000.80.035000.021350.089570.040310.008370.006100.192470.009240.001680.001420.272210.001444216.001.60.123540.079720.312150.147350.031090.023580.697490.034880.006460.005601.011400.005534232.0043.20.341210.254410.819080.436320.101400.084442.090490.115530.023320.021263.289130.019514201.000.10.000300.000080.002010.001280.000050.000020.004130.000250.000010.000000.005450.000034202.000.20.001190.000340.008030.005100.000210.000090.016510.000990.000030.000020.021780.000144204.00200.40.004690.001340.031910.020320.000830.000350.065690.003960.000130.000080.086730.000544208.000.80.017900.005320.124270.079910.003210.001380.257390.015650.000500.000310.341310.0021542016.001.60.060450.020490.451000.299910.011300.005420.956220.059930.001860.001241.287730.0083342032.003.20.149790.072941.364270.977010.032580.020613.109800.209060.006120.004834.389740.03010

DATOS:12

a=6.0q=350350h1=11v1=0.5h2=5v2=0.5E1=200000v3=0.5E2=100000E3=10000= 200000= 11= 0,5

indices de interpk1=E1/E2=222k2=E2/E3=10INTERPOLAR220= 100000= 5A=a/h2=1.2INTERPOLAR0.81.6= 0,5H=h1/h2=2.2INTERPOLAR24

= 10000= 0,5

k12222222222222222k2222220202020222220202020A0.80.81.61.60.80.81.61.60.80.81.61.60.80.81.61.6h2222222244444444228.00228.002216.002216.002208.002208.0022016.0022016.00428.00428.004216.004216.004208.004208.0042016.0042016.00

ZZ10.135160.135160.366440.366440.093960.093960.230650.230650.0350.0350.123540.123540.01790.01790.060450.06045ZZ20.059740.059740.201450.201450.015350.015350.055990.055990.021350.021350.079720.079720.005320.005320.020490.02049(ZZ1 - RR1)0.293650.293650.750870.750870.356410.356411.007851.007850.089570.089570.312150.312150.124270.124270.4510.451(ZZ2 - RR2)0.11080.11080.355150.355150.227950.227950.783470.783470.040310.040310.147350.147350.079910.079910.299910.29991

Interpolacion k1:ZZ10.135160.366440.093960.230650.0350.123540.01790.06045ZZ20.059740.201450.015350.055990.021350.079720.005320.02049(ZZ1 - RR1)0.293650.750870.356411.007850.089570.312150.124270.451(ZZ2 - RR2)0.11080.355150.227950.783470.040310.147350.079910.29991

Interpolacion A:ZZ10.25080.1623050.079270.039175ZZ20.1305950.035670.0505350.012905(ZZ1 - RR1)0.522260.682130.200860.287635(ZZ2 - RR2)0.2329750.505710.093830.18991

Interpolacion k2:ZZ10.21146888890.06145ZZ20.08840611110.0338105556(ZZ1 - RR1)0.59331333330.2394266667(ZZ2 - RR2)0.35419055560.1365322222decimales:3Interpolacion H:68.763ZZ10.196467ZZ20.082946555629.031(ZZ1 - RR1)0.5579246667(ZZ2 - RR2)0.3324247222195.274-126.511

116.349-87.318

97.64-28.87

11.6317.40

1ra capa:2da capa:3ra capa:xz=9.76E-04xz=1.16E-03xz=1.16E-03xr=-4.88E-04xr=-5.82E-04xr=-5.82E-04