1 nivelANALISIS DINAMICOm = H1.2A143253CALCULO DEL CENTROIDE DE LA MASASECCIONXiYiAiXiAiYiAi164.5144864648217.67-6-6-46.023113-13.5-148.5-40.5124.5709.5561.48X = XiAi5.699Y = YiAi4.510AiAiCALCULO DE CARACTERISTICAS GEOMETRICAS DE LA LOSASECCIONXi- XYi -Y(X- Xi)^2*Ai(Y -Yi)^2*AiIxxiIyyi10.301-0.01013.0640.014729.0001296.0002-4.6993.160-132.472-59.918-5.330-3.00035.301-1.510-379.387-30.776-60.750-432-498.795-90.681662.920861.000Ixx =572.239Iyy =362.205DONDE CALCULAMOS EL MOMENTO POLARI = Ixx + IyyI =934.444DE DONDE EL MOMENTO :Io = I * mm = 1.2Io =1121.33LA MASA INERCIAL ES:Mx = My = m * AtMx =My =149.4Y CON ELLO SE FORMA LA MATRIZ DE MASA INERCIAL:61.800M =061.8000537.85VECTORES DE POSICIONPORTICORdk - Kpk13.5682700-270300023.132900-90240034.11227045-225150043.58818090-90150054.11209090900ENSAMBLE DE LA MATRIZ TRIDIMENSIONALPORTICO 1PORTICO 2PORTICO 3PORTICO 4PORTICO 5cos =1cos =1cos =0.7071cos =0.00cos =0.00seno =0seno =0seno =0.7071seno =1seno =1seno( - ) =1.00seno( - ) =-1.00seno( - ) =0.71seno( - ) =-1.00seno( - ) =1.003000010704.0024000-7516.807507503084.005.629E-309.189E-14-0.003.377E-305.513E-140.000000007507503084.009.189E-141500-53825.513E-149003700.810704.00038191.87-7516.80023542.623084.003084.012681.41-0.00-538219310.620.003700.815217.696150.0750.06271.2Kk =750.03150.01402.86271.21402.8108944.2XCR = Kyy-1 * KyoYCR = Kxx-1 * KXoXCR =0.445YCR =1.020LA RIGIDEZ SE MULTIPLICA POR LA GRAVEDAD60270735061457.7673503087013747.4461457.7613747.441067653.19USANDO EL METODO DE JACOBIANOPRIMERA ITERCIONI =1P0 =cos sen 0J =2sen cos 0001aii =60270ajj =30870aij =7350tan 2 =2 aij14700aii - ajj29400tan 2 =0.500 =13.280.97325-0.229750.00000P0 =0.229750.973250.000000.000000.000001.000000.97320.22980P0t =-0.22980.97320001A(1) = P0t * A0 * P062005.100-0.00062972.2170.973249-0.2297530.000000A (1) =-0.00029134.900-740.4181 =0.2297530.9732490.00000062972.217-740.4181067653.1910.0000000.0000001.000000SEGUNDA ITERCIONI =1P0 =cos 0sen J =3010sen 0cos aii =62005.100ajj =1067653.19aij =62972.217tan 2 =2 aij125944.43461aii - ajj-1005648.09tan 2 =-0.125 =-3.570.9980600.06225P0 =010-0.0622500.998060.998060.00000-0.06225P0t =0.000001.000000.000000.062250.000000.99806A(1) = P0t * A0 * P058077.21346.0939-0.00000.971361-0.2297530.060589A (2) =46.093929134.900-738.9816 2=0.2293070.9732490.0143030-738.98161071581.0782-0.0622540.0000000.998060TERCERA ITERCIONI =1P0 =cos sen 0J =2sen cos 0001aii =58077.2128ajj =29134.9004aij =46.0939tan 2 =2 aij92.188aii - ajj28942.312tan 2 =0.0032 =0.091251.00000-0.001590P0 =0.001591.0000000011.000000.001590.00000P0t =-0.001591.000000.000000.000000.000001.00000A(1) = P0t * A0 * P058077.2860.000-1.1770.97099-0.231300.06059A (3) =0.00029134.827-738.9813 =0.230860.972880.01430-1.177-738.9811071581.078-0.062250.000100.99806-CUARTA ITERCIONI =1P0 =cos 0sen J =3010sen 0cos aii =58077.286ajj =1071581.078aij =-1.1769075623tan 2 =2 aij-2.3538151246aii - ajj-1013503.79tan 2 =0.000 =0.00011.000000-0.00000P0 =0.00000100.0000001.000001.000000.00000.00000P0t =0.000001.00000.00000--0.000000.00001.00000A(1) = P0t * A0 * P058077.286-0.001-0.0000.97099-0.231300.060590.970990.23086-0.06225A (4) =-0.00129134.827-738.9814 =0.230860.972880.01430t4 =-0.231300.972880.000100.000-738.9811071581.078-0.062250.000100.998060.060590.014300.99806M(*) = t * M * 63.6449-0.0029-29.577963.64490.00000.0000M* =-0.002961.80000.0471M* =0.000061.80000.0000-29.57790.0471536.00510.00000.0000536.005158077.286-0.001-0.000K* =-0.00129134.827-738.981-0.000-738.9811071581.07861.79914.267-33.368R* =-14.72160.1240.0533.8560.884534.965

2nivelesANALISIS DINAMICOMETRADO DE ELEMENTOS :PRIMER NIVELMETRADO DE ELEMENTOS :SEGUNDO NIVELELEMENTOALTURA 1ert ANCHOlongitudpeso especifico del concreto (ton/m)peso de la estrc. 1er NivCoordenadaPxPyELEMENTOALTURA 2ert ANCHOlongitudpeso especifico del concreto (ton/m)peso de la estrc. 1er NivCoordenadaPxPyXiYiXiYiC-13.00 m0.35 m0.35 m2.40 Tn/m30.882 Tn0.003.0002.646C-11.50 m0.35 m0.35 m2.40 m0.44 m0.00 m3.00 m0.00 m1.32 mC-23.00 m0.35 m0.35 m2.40 Tn/m30.882 Tn12.002.0010.5841.764C-21.50 m0.35 m0.35 m2.40 m0.44 m12.00 m2.00 m5.29 m0.88 mC-33.00 m0.35 m0.35 m2.40 Tn/m30.882 Tn1.009.000.8827.938C-31.50 m0.35 m0.35 m2.40 m0.44 m1.00 m9.00 m0.44 m3.97 mC-43.00 m0.35 m0.35 m2.40 Tn/m30.882 Tn10.0011.008.829.702C-41.50 m0.35 m0.35 m2.40 m0.44 m10.00 m11.00 m4.41 m4.85 mp13.00 m0.15 m1.00 m2.40 Tn/m31.080 Tn6.002.506.482.7p11.50 m0.15 m1.00 m2.40 m0.54 m6.00 m2.50 m3.24 m1.35 mp23.00 m0.15 m2.00 m2.40 Tn/m32.160 Tn5.5010.0011.8821.6p21.50 m0.15 m2.00 m2.40 m1.08 m5.50 m10.00 m5.94 m10.80 mC-70.00 m0.40 m0.40 m2.40 Tn/m30.000 Tn11.000.0000C-70.00 m0.40 m0.40 m2.40 m0.00 m11.00 m0.00 m0.00 m0.00 mC-80.00 m0.40 m0.40 m2.40 Tn/m30.000 Tn11.000.0000C-80.00 m0.40 m0.40 m2.40 m0.00 m11.00 m0.00 m0.00 m0.00 mC-90.00 m0.40 m0.40 m2.40 Tn/m30.000 Tn11.000.0000C-90.00 m0.40 m0.40 m2.40 m0.00 m11.00 m0.00 m0.00 m0.00 mV-10.50 m0.35 m6.00 m2.40 Tn/m32.520 Tn3.002.707.566.804V-10.50 m0.35 m6.00 m2.40 m2.52 m3.00 m2.70 m7.56 m6.80 mV-20.50 m0.35 m6.04 m2.40 Tn/m32.537 Tn9.002.2022.83125.58096V-20.50 m0.35 m6.04 m2.40 m2.54 m9.00 m2.20 m22.83 m5.58 mV-30.50 m0.35 m6.08 m2.40 Tn/m32.554 Tn0.506.001.27715.3216V-30.50 m0.35 m6.08 m2.40 m2.55 m0.50 m6.00 m1.28 m15.32 mV-40.50 m0.35 m7.51 m2.40 Tn/m33.154 Tn5.706.2517.9789419.71375V-40.50 m0.35 m7.51 m2.40 m3.15 m5.70 m6.25 m17.98 m19.71 mV-50.50 m0.35 m9.22 m2.40 Tn/m33.872 Tn11.006.5042.596425.1706V-50.50 m0.35 m9.22 m2.40 m3.87 m11.00 m6.50 m42.60 m25.17 mV-60.50 m0.35 m4.61 m2.40 Tn/m31.936 Tn3.259.506.2926518.3939V-60.50 m0.35 m4.61 m2.40 m1.94 m3.25 m9.50 m6.29 m18.39 mV-70.50 m0.35 m4.61 m2.40 Tn/m31.936 Tn7.2510.5014.0374520.3301V-70.50 m0.35 m4.61 m2.40 m1.94 m7.25 m10.50 m14.04 m20.33 mV-80.00 m0.40 m0.00 m2.40 Tn/m30.000 Tn11.003.0000V-80.00 m0.40 m0.00 m2.40 m0.00 m11.00 m3.00 m0.00 m0.00 mV-90.60 m0.40 m0.00 m2.40 Tn/m30.000 Tn11.003.0000V-90.60 m0.40 m0.00 m2.40 m0.00 m11.00 m3.00 m0.00 m0.00 mV-100.60 m0.40 m0.00 m2.40 Tn/m30.000 Tn11.003.0000V-100.60 m0.40 m0.00 m2.40 m0.00 m11.00 m3.00 m0.00 m0.00 mV-110.60 m0.40 m0.00 m2.40 Tn/m30.000 Tn11.003.0000V-110.60 m0.40 m0.00 m2.40 m0.00 m11.00 m3.00 m0.00 m0.00 mLosa 10.20 m0.00 m123.002.40 Tn/m359.040 Tn6.504.80383.76283.392Losa 10.20 m0.00 m123.00 m2.40 m59.04 m6.50 m4.80 m383.76 m283.39 mLosa 20.20 m0.00 m0.002.40 Tn/m30.000 Tn8.000.0000Losa 20.20 m0.00 m0.00 m2.40 m0.00 m8.00 m0.00 m0.00 m0.00 m84.32 Tn534.97944441.0569180.93 m515.66 m417.88 m10.000 Tn40.000 TnX CM = Px / PY CM = Py / PX CM = Px / PY CM = Py / P0.000 TnX CM =6.345Y CM =5.231X CM =6.371Y CM =5.163Carga Muerta " C M "384.317 TnCarga Muerta " C M "280.933 TnCarga Viva " C V "530.00 m0.30 Tn/m236.900 TnCarga Viva " C V "0.00 m0.15 Tn/m218.450 TnCALCULO DEL CENTROIDE DE LA MASAPeso 2do NivelP = 100% CM + 50% CVEl 50% por ser colegio y ser estruct. ImportantePeso 1 er NivelP = 100% CM + 50% CVEl 50% por ser colegio y ser estruct. ImportanteSECCIONXiYiAiXiAiYiAiP2 =90.158 Tnm 2 =9.19175.51541078847P1 =102.767 Tnm 1 =10.48213.338-9-119.97-72340.33-6-24-1.98413.330.66-2-26.66-1.3250.334-3-0.99-126410.33-9-36-92.9770.510-2-1-20123869.38646.73X = XiAi7.068Y = YiAi5.258AiAiCALCULO DE CARACTERISTICAS GEOMETRICAS DE LA LOSASECCIONXi- XYi -Y(X- Xi)^2*Ai(Y -Yi)^2*AiIxxiIyyi1-0.0680.2420.7159.0211552.8302515.33026.2622.742-352.899-67.669-40.500-2.0003-3.068-4.928-56.481-145.709-0.390-76.22046.262-4.598-78.422-42.283-0.440-0.4405-6.738-1.258-136.207-4.747-6.000-0.1706-3.0685.072-84.721-231.530-2.000-40.5007-6.5684.742-86.281-44.974-1.330-1.33-794.296-527.8901502.1702394.670Ixx =974.280Iyy =1600.374DONDE CALCULAMOS EL MOMENTO POLARI = Ixx + IyyI =2574.654DE DONDE EL MOMENTO :Io = I * mIo =26971.51Io =23662.26LA MASA INERCIAL ES:Mx = My = m * AtMx =My =10.48Mx =My =9.19Y CON ELLO SE FORMA LA MATRIZ DE MASA INERCIAL:10.4800000M =010.4800000026971.510000009.190000009.1900000023662.26VECTORES DE POSICIONPORTICORdk - Kpk15.5418081-99020.5418094-86034.9401031030A4.967713-640B2.76955-90060090900700909008009090090090900ENSAMBLE DE LA MATRIZ TRIDIMENSIONALPORTICO 1MATRIZ DE RIGIDEZ LATERAL[ Kpk ]MATRIZ DE RIGIDEZ TRIDIMENCIONAL DE CADA PORTICO [Kk]VECTORES POSICION5.5400.15643446500.98768834060-0.987688340600.0005490.0006830.0000130.0000170.0000850.000106-0.000470-0.000585rdkalfabetabeta -alfardk=05.54Cos b00.776685982Sen b00.9876883406Sen(b-a)0-0.9876883406Kpk0.0006830.0015000.0004120.0009050.0005240.001151-0.002903-0.00637515.5418081-990.0000850.0001060.0005360.000666-0.002967-0.00369125.5418081-990.0005240.0011510.0006660.001463-0.003691-0.008107-0.000470-0.000585-0.002967-0.0036910.0164370.020449Portico A-A-0.002903-0.006375-0.003691-0.0081070.0204490.044911PORTICO 2VECTORES POSICION0.540-0.069756473700.99756405030-0.997564050300.000260.000460.0000010.000002-0.000018-0.0000320.0000100.000017rdkalfabetabeta -alfardk=00.54Cos b0-0.0697564737Sen b00.9975640503Sen(b-a)0-0.9975640503Kpk0.000460.001100.0000020.000005-0.000032-0.0000770.0000170.00004110.5418094-86-0.000018-0.0000320.0002610.000461-0.000141-0.00024920.5418094-86-0.000032-0.0000770.0004610.001095-0.000249-0.000591Portico B-B0.0000100.000017-0.000141-0.0002490.0000760.0001340.0000170.000041-0.000249-0.0005910.0001340.000319PORTICO 3VECTORES POSICION4.940-0.224951054300.974370064800.974370064800.000590.000780.0000300.000040-0.000130-0.000171-0.000642-0.000846rdkalfabetabeta -alfardk=04.94Cos b0-0.2249510543Sen b00.9743700648Sen(b-a)00.9743700648Kpk0.000780.00180Portico C-C0.0000400.000091-0.000171-0.000395-0.000846-0.00194914.940103103-0.000130-0.0001710.0005630.0007410.0027810.00366324.940103103-0.000171-0.0003950.0007410.0017090.0036630.008442-0.000642-0.0008460.0027810.0036630.0137390.018095-0.000846-0.0019490.0036630.0084420.0180950.041704PORTICO AVECTORES POSICION4.9600.974370064800.22495105430-0.898794046306.66E-051.14E-040.0000630.0001080.0000150.000025-0.000289-0.000495rdkalfabetabeta -alfardk=04.96Cos b00.9743700648Sen b00.2249510543Sen(b-a)0-0.8987940463Kpk1.14E-043.07E-04Portico 1-10.0001080.0002910.0000250.000067-0.000495-0.00133414.967713-640.0000150.0000250.0000030.000006-0.000067-0.00011424.967713-640.0000250.0000670.0000060.000016-0.000114-0.000308-0.000289-0.000495-0.000067-0.0001140.0013240.002266-0.000495-0.001334-0.000114-0.0003080.0022660.006101PORTICO BVECTORES POSICION2.7600.996194698100.08715574270-103.11E-055.57E-05Portico 2-20.000030.000060.000000.00000-0.00009-0.00015rdkalfabetabeta -alfardk=02.76Cos b00.9961946981Sen b00.0871557427Sen(b-a)0-1Kpk5.57E-051.66E-040.000060.000160.000000.00001-0.00015-0.0004612.76955-900.000000.000000.000000.00000-0.00001-0.0000122.76955-900.000000.000010.000000.00000-0.00001-0.00004-0.00009-0.00015-0.00001-0.000010.000240.00042-0.00015-0.00046-0.00001-0.000040.000420.00126PORTICO 6VECTORES POSICION001000100.000000.00000Portico 3-300.00.000.000.000.00rdkalfabetabeta -alfardk=00Cos b01Sen b00Sen(b-a)00Kpk0.000000.0000000.000.000.000.000.001000900.000.000.000.000.000.00200000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00PORTICO 4-4VECTORES POSICION001000000.00000.00000.000000.000000.000000.000000.000000.00000rdkalfabetabeta -alfardk=00Cos b01Sen b00Sen(b-a)00Kpk0.00000.0000Portico 4-40.000000.000000.000000.000000.000000.00000100000.000000.000000.000000.000000.000000.00000200000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000PORTICO 5-5VECTORES POSICION001000000.0000.0000.000000.000000.000000.000000.000000.00000rdkalfabetabeta -alfardk=00Cos b01Sen b00Sen(b-a)00Kpk0.0000.000Portico 5-50.000000.000000.000000.000000.000000.00000100000.000000.000000.000000.000000.000000.00000200000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000PORTICO 6-6VECTORES POSICION001000000.0000.0000.000000.000000.000000.000000.000000.00000rdkalfabetabeta -alfardk=00Cos b01Sen b00Sen(b-a)00Kpk0.0000.0000.000000.000000.000000.000000.000000.0000010000Portico 6-60.000000.000000.000000.000000.000000.00000200000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000PORTICO 7-7VECTORES POSICION001000000.0000.0000.000000.000000.000000.000000.000000.00000rdkalfabetabeta -alfardk=00Cos b01Sen b00Sen(b-a)00Kpk0.0000.0000.000000.000000.000000.000000.000000.0000010000Portico 7-70.000000.000000.000000.000000.000000.00000200000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000MATRIZ TRIDIMENSIONAL DE LA ESTRUCTURA0.00010.0002-0.0000-0.0001-0.0015-0.00214.37E+04-1.62E+042.21E+032.57E+031.94E+03-1.61E+030.00060.00150.00040.0008-0.0044-0.0101-1.62E+049.87E+03-8.41E+02-1.57E+03-7.36E+021.01E+03-0.0000-0.00010.00140.0019-0.0004-0.00044.60E+031.06E+032.07E+03-9.83E+022.13E+021.22E+020.00040.00080.00190.0043-0.0004-0.0006-2.62E+03-8.84E+02-9.31E+027.31E+02-1.15E+02-1.01E+020.000140.00022-0.00005-0.00007-0.00148-0.00206-0.0015-0.0021-0.0004-0.00040.03180.04141.42E+03-1.17E+039.74E+011.79E+021.39E+02-1.53E+020.000620.001460.000350.00076-0.00438-0.01007-0.0044-0.0101-0.0004-0.00060.04140.0943-3.19E+028.10E+02-2.69E+01-1.26E+02-4.95E+011.11E+02-0.00005-0.000070.001360.00187-0.00040-0.000400.000350.000760.001870.00428-0.00040-0.00060-0.00148-0.00206-0.00040-0.000400.031810.04137XCR = Kyy-1 * KyoYCR = Kxx-1 * KXo-0.00438-0.01007-0.00040-0.000600.041370.09430XCR =-0.4312626-0.2441965YCR =6.612373.55850.0771562-0.0644924-19.3237-66.0545LA RIGIDEZ SE MULTIPLICA POR LA GRAVEDAD0.00136173630.002177783-0.0004520994-0.00066757-0.0144891412-0.0202205540.00605567090.01429810960.00343709270.0074684419-0.0429603853-0.0988103653-0.0004520994-0.000667570.01336994070.018390844-0.0039329181-0.00397150040.00343709270.00746844190.0183908440.0420226118-0.0039715004-0.0059204628-0.0144891412-0.020220554-0.0039329181-0.00397150040.31208482180.4058241811-0.0429603853-0.0988103653-0.0039715004-0.00592046280.40582418110.9250778093USANDO EL METODO DE JACOBIANOPRIMERA ITERCIONI =1J =2aii =0.00136173630.0021777830.00605567090.0142981096ajj =0.010.0183908440.020.0420226118aij =-0.0004520994-0.000667570.00343709270.0074684419tan 2 =2 aij-0.0009041988-0.0013351399-0.01-0.0162130611aii - ajj0.00687418540.0149368839-0.0123351732-0.0277245022tan 2 =0.07529842170.0823-0.5572832538-0.53882.15307780682.3538324964 =-14.5651-14.157030.999290.99916-0.03757-0.041070.000000.000000.967860.969630.251480.244580.000000.000000.037570.041070.999290.999160.000000.00000P0 =-0.25148-0.244580.967860.969630.000000.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000001.000001.000000.99930.96790.0376-0.25150.00000.00000.99920.96960.0411-0.24460.00000.0000P0t =-0.03760.25150.99930.96790.00000.0000-0.04110.24460.99920.96960.00000.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00001.00001.0000A(1) = P0t * A0 * P00.02078103040.0207778406-0.0011453376-0.0012705848-0.1697091268-0.16970912680.99930.9992-0.0376-0.04110.00000.00000.02079972440.020799827-0.0005924169-0.00-0.1700507068-0.17005070680.96790.96960.25150.24460.00000.0000-0.00002980770.0005201210.09338377820.0934023057-0.0518213534-0.05182135341 =0.03760.04110.99930.99920.00000.0000-0.00016553580.0000.09339220390.0934115531-0.051-0.0507380655-0.2515-0.24460.96790.96960.00000.0000-0.1704238731-0.1707221504-0.0452484223-0.04424241352.04881099342.04881099340.00000.00000.00000.00001.00001.0000-0.1704238731-0.1707221504-0.0452484223-0.04424241352.04881099342.04881099340.00000.00000.00000.00001.00001.0000SEGUNDA ITERCIONI =1J =3aii =0.02078103040.02077784060.02079972440.020799827ajj =2.048812.04881099342.048812.0488109934aij =-0.1704238731-0.1707221504-0.1704238731-0.1707221504tan 2 =2 aij-0.3408477463-0.3414443007-2.03-2.0280331528aii - ajj-0.3408477463-0.3414443007-2.0280112689-2.0280111664tan 2 =0.16806839760.16840.16806994690.16844.77022352074.778411164 =4.77034.778460.996540.996520.000000.00000-0.08316-0.083300.996540.996520.000000.00000-0.08316-0.083300.000000.000001.000001.000000.000000.00000P0 =0.000000.000001.000001.000000.000000.000000.083160.083300.000000.000000.996540.996520.083160.083300.000000.000000.996540.996520.99650.99650.00000.00000.08320.08320.99650.99650.00000.00000.08330.0833P0t =0.00000.00001.00001.00000.00000.00000.00000.00001.00001.00000.00000.0000-0.0832-0.08320.00000.00000.99650.9965-0.0833-0.08330.00000.00000.99650.9965A(1) = P0t * A0 * P00.02640225120.0264025605-0.0185972739-0.01859727390.00216515950.00216138471.99151.9915-0.0786-0.0786-0.1662-0.16650.02640216410.0264026421-0.0186227295-0.020.00334493470.003341161.93081.93080.49610.4961-0.1611-0.1614-0.0163510106-0.01638024280.37358984080.3735898408-0.2044673205-0.20446498081 =0.07840.07841.99851.9985-0.0065-0.0066-0.0163510106-0.0160.37358984080.3735898408-0.204-0.2044649808-0.4943-0.49431.93751.93750.04130.0413-0.00060722030.000572555-0.1780518561-0.17805185618.25200014538.25200014780.16630.16660.00000.00001.99311.9930-0.00061099490.0005687803-0.1780491955-0.17804919558.25199975148.25199975450.16630.16660.00000.00001.99311.9930TERCERA ITERCIONI =1J =2aii =0.02640225120.02640256050.02640216410.0264026421ajj =0.370.37358984080.370.3735898408aij =-0.0163510106-0.0163802428-0.0163510106-0.0163802428tan 2 =2 aij-0.0327020211-0.0327604856-0.35-0.3471872803aii - ajj-0.0327020211-0.0327604856-0.3471876767-0.3471871988tan 2 =0.09419121570.09440.09419119210.09442.69044178072.6952258103 =2.69042.695230.998900.99889-0.04694-0.047020.000000.000000.998900.99889-0.04694-0.047020.000000.000000.046940.047020.998900.998890.000000.00000P0 =0.046940.047020.998900.998890.000000.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000001.000001.000000.99890.99890.04690.04690.00000.00000.99890.99890.04700.04700.00000.0000P0t =-0.0469-0.04690.99890.99890.00000.0000-0.0470-0.04700.99890.99890.00000.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00001.00001.0000A(1) = P0t * A0 * P00.10210975510.1021090018-0.0090159633-0.0090244903-0.0273899067-0.02738990673.97133.9712-0.3441-0.3444-0.3327-0.33270.10210975150.1021090087-0.0088908794-0.01-0.027458173-0.0274581733.90393.90390.80980.8094-0.3225-0.3225-0.00003846320.00008662071.49785922621.4978592242-0.8174800177-0.81748001771 =0.34420.34453.98513.9851-0.0131-0.0131-0.00004699020.0001.49785997391.4978599726-0.817-0.8174777276-0.8057-0.80543.91713.91720.08260.0826-0.0335074244-0.0335668333-0.7114134481-0.711410647533.007999798933.00799979890.33260.3326-0.0156-0.01573.98613.9861-0.0335074244-0.0335668333-0.7114134481-0.711410647533.007999798933.00799979890.33260.3326-0.0156-0.01573.98613.9861CUARTA ITERCIONI =1J =3aii =0.10210975510.10210900180.10210975150.1021090087ajj =33.0133.007999798933.0133.0079997989aij =-0.0335074244-0.0335668333-0.0335074244-0.0335668333tan 2 =2 aij-0.0670148488-0.0671336666-32.91-32.9058907971aii - ajj-0.0670148488-0.0671336666-32.9058900474-32.9058907902tan 2 =0.00203656090.00200.00203656090.00200.05834309130.0584465323 =0.05830.058451.000001.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000000.000000.000001.000001.000000.000000.00000P0 =0.000000.000001.000001.000000.000000.000000.001020.001020.000000.00000-0.00102-0.001020.001020.001020.000000.00000-0.00102-0.001021.00001.00000.00000.00000.00100.00101.00001.00000.00000.00000.00100.0010P0t =0.00000.00001.00001.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00000.00000.0000-0.0010-0.00100.00000.00000.00000.0000-0.0010-0.0010A(1) = P0t * A0 * P00.40832569480.4083257387-0.0387283641-0.038728364-0.0000252017-0.00002524647.94187.9418-0.6885-0.68850.00070.00070.40832569450.4083257389-0.0387335015-0.04-0.0000254444-0.00002548957.80717.80711.61921.61920.00070.0007-0.0032504231-0.00325632655.99143218425.99143217320.00332968410.00333558761 =0.68870.68877.97027.97020.00000.0000-0.0032504231-0.0035.99143217325.99143216220.0030.0033355876-1.6109-1.61097.83437.8343-0.0002-0.0002-0.0000003024-0.00000054510.00289766190.00289766190.00013690290.00013714560.67320.6732-0.0313-0.0313-0.0081-0.0081-0.0000003029-0.00000054610.00290279940.00290279940.00013714560.00013738880.67320.6732-0.0313-0.0313-0.0081-0.0081

Hoja1M* = [t] * [M] *[ ]10.480000024843.23527795224843.4635278343147500.746688872147500.746417468-128.7637397733-128.9920351306M =010.4757798165000024843.463527834324843.6917826195147500.725608654147500.72533725-128.7665054023-128.99480566310026971.5132453023000M*=147500.746688872147500.7256086541713978.775813771713978.7726600211.736629396811.75743818970009.190458715600147500.746417468147500.725337251713978.772660011713978.7695062611.736629375211.757438168100009.19045871560-128.7637397733-128.766505402311.736629396811.73662937521.56000927851.56277514160000023662.2555379942-128.9920351306-128.994805663111.757438189711.75743816811.56277514161.565545908524843.23527795224843.4635278343000024843.463527834324843.69178261950000001713978.775813771713978.77266002000.00136173630.002177783-0.0004520994-0.00066757-0.0144891412-0.020220554M*=001713978.772660011713978.76950626000.00605567090.01429810960.00343709270.0074684419-0.0429603853-0.098810365300001.56000927851.5627751416K =-0.0004520994-0.000667570.01336994070.018390844-0.0039329181-0.003971500400001.56277514161.56554590850.00343709270.00746844190.0183908440.0420226118-0.0039715004-0.0059204628-0.0144891412-0.020220554-0.0039329181-0.00397150040.31208482180.4058241811-0.0429603853-0.0988103653-0.0039715004-0.00592046280.40582418110.9250778093AMPLIFICADOK* =[t]*[K ]* 7.9427.942-0.688-0.6880.0010.0017.8077.8071.6191.6190.0010.0010.40832569480.4083257387-0.0387283641-0.038728364-0.0000252017-0.00002524641 =0.6890.6897.9707.9700.0000.000K* =0.40832569450.4083257389-0.0387335015-0.0387335015-0.0000254444-0.0000254895-1.611-1.6117.8347.834-0.000-0.000-0.0032504231-0.00325632655.99143218425.99143217320.00332968410.00333558760.6730.673-0.031-0.031-0.008-0.008-0.0032504231-0.00325632655.99143217325.99143216220.00332968410.00333558760.6730.673-0.031-0.031-0.008-0.008-0.0000003024-0.00000054510.00289766190.00289766190.00013690290.0001371456-0.0000003029-0.00000054610.00290279940.00290279940.00013714560.00013738887.94180783477.80710938490.688656373-1.61089774280.67323490730.6732349073t =7.94180661897.8071082060.6886563245-1.61089744170.67324929910.67324929910.40832569480.40832573870000-0.68847016971.61920652197.97024261347.8343036441-0.0312827454-0.03128274540.40832569450.40832573890000-0.68847016841.6192065197.97024259877.8343036296-0.0312827453-0.0312827453K* =005.99143218425.9914321732000.00067749820.00065683250.0000266599-0.0001681702-0.0081179654-0.0081179654005.99143217325.9914321622000.00067869940.0006579970.0000267072-0.0001684684-0.0081323583-0.008132358300000.00013690290.000137145600000.00013714560.0001373888FRECUENCIA:PERIODO391255.837831633391259.432558413-1580702.12892825-1580702.126019732.10236747972.1060949323391255.778338758391259.373064991-1580701.69599105-1580701.693082532.10241242212.1061399543W1 =K* / M*r =23122.871765019523123.084213421227088656.821939127088656.7720954-0.0976892699-0.09786247092 *PI =6.283185307223122.87172247323123.084170874327088656.772095427088656.7222518-0.0976892697-0.09786247070.00001643610.000016435933.149241242333.1495458063-242.5456424247-242.5456419784-0.0253506557-0.0253956019w1 =0.00001643590.0000164358T1 =382279.765600704382283.23670803733.208014138233.2083192422-242.9756706625-242.9756702155-0.0253956019-0.0254406278382283.278038447382286.7488179450.00000349560.0000034956w2 =0.00000349560.0000034956T2 =1797441.067483151797441.067483151797441.067483151797441.067483150.00008775770.0000877577w3 =0.00008775770.0000877577T3 =71596.928778379871596.928778379871596.928778379871596.9287783798MODOT1W1Ci* GSaixSaiySdixSdiy1382279.765600704382283.2367080370.00001643610.000016435924.5252.5751250.009532376788.938619532549898.039170.000382283.278038447382286.7488179450.00001643590.00001643589532551959.255449532725053.5966921797441.067483151797441.067483150.00000349560.000003495624.5252.5751250.00210740447849.12210740447849.120.0001797441.067483151797441.067483150.00000349560.0000034956210740447849.12210740447849.12371596.928778379871596.92877837980.00008775770.000087757724.5252.5751250.00334370045.915861334370045.9158610.00071596.928778379871596.92877837980.00008775770.0000877577334370045.915861334370045.915861

3 nivelesANALISIS DINAMICO143253CALCULO DEL CENTROIDE DE LA MASAMETRADO DE ELEMENTOS :PRIMER NIVELMETRADO DE ELEMENTOS :SEGUNDO NIVELSECCIONXiYiAiXiAiYiAiELEMENTOALTURA 1er PISOt ANCHOlongitudpeso especifico del concreto (ton/m)peso de la estrc. 1er NivCoordenadaPxPyELEMENTOALTURA 1er PISOt ANCHOlongitudpeso especifico del concreto (ton/m)peso de la estrc. 1er NivCoordenadaPxPyELEMENTOALTURA 1er PISOt ANCHOlongitudpeso especifico del concreto (ton/m)peso de la estrc. 1er NivCoordenadaPxPy164.5144864648XiYiXiYiXiYi217.67-6-6-46.02C-13.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn0606.912C-13.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn0606.912C-13.00.40.42.41.20.06.00.06.93113-13.5-148.5-40.5C-23.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn565.766.912C-23.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn565.766.912C-23.00.40.42.41.25.06.05.86.9124.5709.5561.48C-33.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11612.6726.912C-33.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11612.6726.912C-33.00.40.42.41.211.06.012.76.9C-43.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn0000C-43.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn0000C-43.00.40.42.41.20.00.00.00.0C-53.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn505.760C-53.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn505.760C-53.00.40.42.41.25.00.05.80.0X = XiAi5.699Y = YiAi4.510C-63.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-63.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-63.00.40.42.41.211.00.012.70.0AiAiC-73.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-73.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-73.00.40.42.41.211.00.012.70.0C-83.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-83.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-83.00.40.42.41.211.00.012.70.0CALCULO DE CARACTERISTICAS GEOMETRICAS DE LA LOSAC-93.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-93.00 m0.40 m0.40 m2.40 Tn/m31.152 Tn11012.6720C-93.00.40.42.41.211.00.012.70.0V-10.40 m0.30 m4.00 m2.40 Tn/m31.152 Tn2.562.886.912C-100.40 m0.30 m4.00 m2.40 Tn/m31.152 Tn11012.6720C-100.40.34.02.41.211.00.012.70.0SECCIONXi- XYi -Y(X- Xi)^2*Ai(Y -Yi)^2*AiIxxiIyyiV-20.40 m0.30 m3.00 m2.40 Tn/m30.864 Tn866.9125.184V-30.40 m0.30 m3.00 m2.40 Tn/m30.864 Tn2.502.160V-30.40.33.02.40.92.50.02.20.010.301-0.01013.0640.014729.0001296.000V-30.40 m0.30 m2.00 m2.40 Tn/m30.576 Tn2.501.440V-40.40 m0.30 m2.00 m2.40 Tn/m30.576 Tn804.6080V-40.40.32.02.40.68.00.04.60.02-4.6993.160-132.472-59.918-5.330-3.000V-40.40 m0.30 m3.00 m2.40 Tn/m30.864 Tn806.9120V-50.40 m0.30 m3.00 m2.40 Tn/m30.864 Tn0302.592V-50.40.33.02.40.90.03.00.02.635.301-1.510-379.387-30.776-60.750-432V-50.40 m0.30 m4.00 m2.40 Tn/m31.152 Tn0303.456V-60.40 m0.30 m4.00 m2.40 Tn/m31.152 Tn535.763.456V-60.40.34.02.41.25.03.05.83.5-498.795-90.681662.920861.000V-60.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn537.24.32V-70.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-70.40.35.02.41.411.03.015.84.3V-70.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-80.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-80.40.35.02.41.411.03.015.84.3V-80.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-90.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-90.40.35.02.41.411.03.015.84.3V-90.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-100.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-100.40.35.02.41.411.03.015.84.3Ixx =572.239Iyy =362.205V-100.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-110.40 m0.30 m5.00 m2.40 Tn/m31.440 Tn11315.844.32V-110.40.35.02.41.411.03.015.84.3Losa 10.20 m3.00 m3.002.40 Tn/m34.320 Tn2.5310.812.96Losa 10.20 m3.00 m3.00 m2.40 Tn/m34.320 Tn2.5310.812.96Losa 10.23.03.02.44.32.53.010.813.0DONDE CALCULAMOS EL MOMENTO POLARLosa 20.20 m3.00 m3.002.40 Tn/m34.320 Tn8334.5612.96Losa 20.20 m3.00 m3.00 m2.40 Tn/m34.320 Tn8334.5612.96Losa 20.23.03.02.44.38.03.034.613.030.816 Tn208.94483.80830.816 Tn218.8860.4830.816 Tn224.6474.304I = Ixx + IyyI =934.444X CM = Px / PY CM = Py / PX CM =6.780Y CM =2.720X CM = Px / PY CM = Py / PX CM = Px / PY CM = Py / PDE DONDE EL MOMENTO :X CM =7.103Y CM =1.963X CM =7.290Y CM =2.411Io = I * mCarga Muerta " C M "30.816 TnCarga Muerta " C M "Carga Muerta " C M "Io =3735.49Io =3735.49Io =3335.4230.816 Tn30.816 TnCarga Viva " C V "LA MASA INERCIAL ES:8.00 m7.00 m0.30 Tn/m216.800 TnCarga Viva " C V "Carga Viva " C V "8.00 m7.00 m0.30 Tn/m216.800 Tn8.00 m7.00 m0.15 Tn/m28.400 TnMx = My = m * AtPeso 2do NivelP = 100% CM + 50% CVEl 50% por ser colegio y ser estruct. ImportantePeso 3do NivelP = 100% CM + 50% CVEl 50% por ser colegio y ser estruct. ImportantePeso 1 er NivelP = 100% CM + 50% CVEl 50% por ser colegio y ser estruct. ImportanteMx =My =4.00Mx =My =4.00Mx =My =3.57P2 =39.216 Tnm 2 =4.00P3 =35.016 Tnm 3 =3.57P1 =39.216 Tnm 1 =4.00Y CON ELLO SE FORMA LA MATRIZ DE MASA INERCIAL:4.0000000000M =04.000000000003735.490000000004.000000000004.000000000003735.490000000003.570000000003.570000000003335.42VECTORES DE POSICIONPORTICORdk - Kpk13.5682700-270300023.132900-90240034.11227045-225150043.58818090-90150054.1120909090064.1120909090174.1120909090284.1120909090394.11209090904ENSAMBLE DE LA MATRIZ TRIDIMENSIONALMATRIZ TRIDIMENSIONAL DE CADA PORTICOPORTICO A-AMATRIZ DE RIGIDEZ LATERAL[ Kpk ]MATRIZ DE RIGIDEZ TRIDIMENCIONAL DE CADA PORTICO [Kk]VECTORES POSICION3.8400100000-1002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-8248929.96389891-8248929.96389891-8248929.96389891rdkalfabetabeta -alfardk=03.840Cos b010Sen b000Sen(b-a)0-10Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-8248929.96389891-8248929.96389891-8248929.9638989113.84900-90003.5900100000-1-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-8248929.96389891-8248929.96389891-8248929.9638989133.59900-90000000000000000000000000000-8248929.963898913485666.4259927715220262.815884400031675891.0613718-13384959.0758122-58445809.21299633485666.42599277-1938576.17328519-7362818.77256317000-13384959.07581227444132.5054151428273224.086642614229360.2888086-6883468.59205776-27996297.4729242000-51083403.43682324711652.2454874100506707.927798PORTICO B-BVECTORES POSICION0.66001000001002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.108303240001417784.837545121417784.837545121417784.83754512rdkalfabetabeta -alfardk=00.660Cos b010Sen b000Sen(b-a)010Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.722021660001417784.837545121417784.837545121417784.8375451210.662700-270000.91001000001-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.552346560001417784.837545121417784.837545121417784.8375451220.912700-2700000000000000000000000000001417784.83754512-599098.916967508-2615982.67148014000935737.992779782-395405.285198555-1726548.56317689-599098.916967508333192.7797833921265484.4765343000-395405.285198555219907.234657039835219.754512635-3606885.198555951744834.657039717096554.51263537000-3282265.530685911587799.537906146457864.60649819PORTICO C-CVECTORES POSICION1.16001000001002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.108303240002491864.259927792491864.259927792491864.25992779rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)010Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.722021660002491864.259927792491864.259927792491864.2599277911.162700-270001.41001000001-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.552346560002491864.259927792491864.259927792491864.2599277921.412700-2700000000000000000000000000002491864.25992779-1052961.73285198-4597787.725631760002890562.54151624-1221435.6101083-5333433.76173284-1052961.73285198585611.5523465692224184.83754513000-1221435.6101083679309.4007220192580054.41155235-5588690.252707572703535.0180505410995760.2888086000-7880053.256317673811984.3754512615504022.0072202PORTICO 1-1VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 2-2VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 3-3VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 4-4VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 5-5VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 6-6VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000PORTICO 7-7VECTORES POSICION1.1600100000-0002148158.84-907725.63-3963610.112148158.84476534-907725.631768951-3963610.10830324000-0.0000000003-0.0000000003-0.0000000003rdkalfabetabeta -alfardk=01.160Cos b010Sen b000Sen(b-a)0-00Kpk-907725.63504837.551917400.72-907725.631768951504837.5451263521917400.72202166000-0.0000000003-0.0000000003-0.000000000311.161800-180001.4100100000-0-3963610.111917400.727798411.55-3963610.108303241917400.722021667798411.55234656000-0.0000000003-0.0000000003-0.000000000321.411800-180000000000000000000000000000-0.00000000030.00000000010.00000000060000-0-00.0000000001-0.0000000001-0.0000000003000-0000.0000000007-0.0000000003-0.0000000013000-000MATRIZ DE RIGIDEZ TRIDIMENSIONAL DE LA ESTRUCTURA18425703.9711191-7664693.14079421-33755090.2527075000-4339280.86642599-4339280.86642599-4339280.86642599000000000-12133140.79422386460938.6281588325055018.0505415000-4339280.86642599-4339280.86642599-4339280.86642599000000000-35672490.974729217256606.498194970185703.971119000-5757065.70397111-5757065.70397111-5757065.703971110000000000000000000000000000000000000000000001417784.83754512-599098.916967508-2615982.67148014000935737.992779782-395405.285198555-1726548.56317689000000000-6356164.620938622765897.4729241811887959.56678700034171048.3176895-14386487.4512635-62944023.2202165000000000MATRIZ DE RIGIDEZ TRIDIMENSIONAL DE LA ESTRUCTURA-1174180.50541516391870.0361010861957920.57761732000-17888660.21660659711241.444043337311143.10469310000000008640670.03610106-4179933.57400722-17000537.1841155000-58963456.693140728523636.6209386116010729.93501800000000018425703.9711191-7664693.14079421-33755090.2527075000-4339280.86642599-4339280.86642599-4339280.86642599-12133140.79422386460938.6281588325055018.0505415000-4339280.86642599-4339280.86642599-4339280.86642599-35672490.974729217256606.498194970185703.971119000-5757065.70397111-5757065.70397111-5757065.703971110000000000000000001417784.83754512-599098.916967508-2615982.67148014000935737.992779782-395405.285198555-1726548.56317689-6356164.620938622765897.4729241811887959.56678700034171048.3176895-14386487.4512635-62944023.2202165-1174180.50541516391870.0361010861957920.57761732000-17888660.21660659711241.444043337311143.10469318640670.03610106-4179933.57400722-17000537.1841155000-58963456.693140728523636.6209386116010729.93501800 =0.00000.000001.000001.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000000.000000.000001.000001.000000.000000.00000P0 =0.000000.000001.000001.000000.000000.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000001.000001.000001.00001.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.0000P0t =0.00000.00001.00001.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00001.00001.0000A(1) = P0t * A0 * P00000001.00001.00000.00000.00000.00000.00000000.00001.00001.00000.00000.00000.00000.00000000001 =0.00000.00001.00001.00000.00000.000000.000000.00000.00000.00001.00001.00000.00000.00000000000.00000.00000.00000.00001.00001.00000000000.00000.00000.00000.00001.00001.0000SEGUNDA ITERCIONI =1J =3aii =0000ajj =0.0000.000aij =0000tan 2 =2 aij000.000aii - ajj0000tan 2 =00.000000.000000 =0.00000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000001.000001.000000.000000.00000P0 =0.000000.000001.000001.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000P0t =0.00000.00001.00001.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000A(1) = P0t * A0 * P00000000.00000.00000.00000.00000.00000.00000000.00000.00000.00000.00000.00000.00000.00000000001 =0.00000.00000.00000.00000.00000.000000.000000.00000.00000.00000.00000.00000.00000.00000000000.00000.00000.00000.00000.00000.00000000000.00000.00000.00000.00000.00000.0000TERCERA ITERCIONI =1J =2aii =0000ajj =0.0000.000aij =0000tan 2 =2 aij000.000aii - ajj0000tan 2 =00.000000.000000 =0.00000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.000000.00000P0 =0.000000.000000.000000.000000.000000.000000.000000.000000.000000.000001.000001.000000.000000.000000.000000.000001.000001.000000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000P0t =0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00001.00001.00000.00000.00000.00000.00001.00001.0000A(1) = P0t * A0 * P00000000.00000.00000.00000.00000.00000.00000000.00000.00000.00000.00000.00000.00000.00000000001 =0.00000.00000.00000.00000.00000.000000.000000.00000.00000.00000.00000.00000.00000.00000000000.00000.00000.00000.00000.00000.00000000000.00000.00000.00000.00000.00000.0000

Hoja2

4 nivelesANALISIS DINAMICO4.5144.5322.255554CALCULO DEL CENTROIDE DE LA MASASECCIONXiYiAiXiAiYiAi112.25.7268.83279.361532.2268.803279.361532.16X = XiAi12.20Y = YiAi5.700AiAiCALCULO DE CARACTERISTICAS GEOMETRICAS DE LA LOSASECCIONXi- XYi -Y(X- Xi)^2*Ai(Y -Yi)^2*AiIxxiIyyi10.0000.0000.0000.0002809.85612902.4000.0000.000226.417296.417Ixx =226.417Iyy =296.417DONDE CALCULAMOS EL MOMENTO POLARI = Ixx + IyyI =522.833DE DONDE EL MOMENTO :Io = I * mmasa1=22.75masa2=18.22Io 1 =11894.25Io 2 =9527.99LA MASA INERCIAL ES:Mx = My = mMx =My =22.75Mx =My =18.22Y CON ELLO SE FORMA LA MATRIZ DE MASA INERCIAL:22.7500000000000022.7500000000000011894.2500000000000022.7500000000000022.7500000000000011894.25000000M =0000022.7500000000000022.7500000000000011894.2500000000000018.2200000000000018.220000000000009527.99PORTICO A-AMATRIZ DE RIGIDEZ LATERAL[ Kpk ]MATRIZ DE RIGIDEZ TRIDIMENCIONAL DE CADA PORTICO [Kk]VECTORES POSICION3.500010000000-10002148158.84-907725.63259638.99-214729.242148159-907725.6259638.99-214729.240.000.000.000.00-75185563177039.71-908736.46736521.30rdkalfabetabeta -alfardk=03.500Cos b0100Sen b0000Sen(b-a)0-100Kpk-907725.63504837.55-224259.93138194.95-907725.631768951504837.55-224259.93138194.950.000.000.000.003177039.71-1766931.41784909.75-474008.661-33.5900-90003.500010000000-10259638.99-224259.93217184.12-122888.09259638.99-224259.93217184.12-122888.090.000.000.000.00-908736.46784909.75-760144.40421506.1443.43900-900003.4300010000000-1-214729.24138194.95-122888.0982166.06-214729.24138194.95-122888.0982166.060.000.000.000.00751552.35-483682.31430108.30-281829.600.000.000.000.000.000.000.000.000.000.000.000.00Portico A-A0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-75185563177039.71-908736.46736521.300.000.000.000.0026314945.85-11119639.03180577.62-2630433.213177039.71-1766931.4784909.75-474008.660.000.000.000.00-11119639.06184259.93-2747184.121692888.09-908736.46784909.75-760144.4421506.140.000.000.000.003180577.62-2747184.122660505.42-1505379.06PORTICO B-B751552.35-483682.31430108.30-281829.600.000.000.000.00-2526268.061625849.72-1445766.05966675.54VECTORES POSICION365135.45-196309.3849077.35-3533.570.000.000.000.00-365135.45196309.38-49077.353780.92100010000000-1000365135.453-196309.38449077.346-3533.569-196309.383588535230990.71-141081.0134157.830.000.000.000.00196309.38-230990.71141081.01-36548.88rdkalfabetabeta -alfardk=0100Cos b0100Sen b0000Sen(b-a)0-100Kpk-196309.384230990.708-141081.01034157.83349077.35-141081.01201936.92-91872.790.000.000.000.00-49077.35141081.01-201936.9298303.891-31900-9000100010000000-1049077.346-141081.010201936.919-91872.792-3533.5734157.83-91872.7955948.170.000.000.000.003533.57-34157.8391872.79-59864.5541.07900-900001.0700010000000-1-3533.56934157.833-91872.79255948.1740.000.000.000.000.000.000.000.000.000.000.000.00Portico B-B0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-365135.5196309.38-49077.353780.920.000.000.000.00365135.45-196309.3849077.35-3533.57196309.38-230990.71141081.01-36548.880.000.000.000.00-196309.38230990.71-141081.0134157.83-49077.35141081.01-201936.9298303.890.000.000.000.0049077.35-141081.01201936.92-91872.793533.57-34157.8391872.79-59864.550.000.000.000.00-4045.5839107.30-105185.1664055.06PORTICO C-C2148158.84-907725.63259638.99-214729.240.000.000.000.0011814873.65-4992490.971428014.44-1196041.88VECTORES POSICION-907725.631768951504837.55-224259.93138194.950.000.000.000.00-4992490.972776606.50-1233429.60769745.85259638.99-224259.93217184.12-122888.090.000.000.000.001428014.44-1233429.601194512.64-684486.645.50001000000010002148158.845-907725.632259638.989-214729.242-214729.24138194.95-122888.0982166.060.000.000.000.00-1181010.83760072.20-675884.48457664.98rdkalfabetabeta -alfardk=05.500Cos b0100Sen b0000Sen(b-a)0100Kpk-907725.632504837.545-224259.928138194.946Portico C-C0.000.000.000.000.000.000.000.000.000.000.000.001-35.52700-270005.50001000000010259638.989-224259.928217184.116-122888.0870.000.000.000.000.000.000.000.000.000.000.000.0045.572700-2700005.57000100000001-214729.242138194.946-122888.08782166.0650.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.0011814874-4992490.971428014.44-1196041.880.000.000.000.0064981805.05-27458700.367854079.42-6495559.57-49924912776606.50-1233429.60769745.850.000.000.000.00-27458700.3615271335.74-6783862.824180397.111428014.44-1233429.601194512.64-684486.640.000.000.000.007854079.42-6783862.826569819.49-3717364.62-1181010.83760072.20-675884.48457664.980.000.000.000.00-6661953.264287484.38-3812590.602549193.95PORTICO 1-10.00-0.000.00-0.000.00-0.000.00-0.00-0.000.00-0.000.00-7.65E-290.00-0.000.00-0.000.00-0.000.000.00-0.000.00-0.00VECTORES POSICION0.00-0.000.00-0.000.00-0.000.00-0.00-0.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.000.000.00-0.000.00-0.0012.9900000001000-100054141.4387896719-20398.35898061584209.306227028-1075.20322103440.00-0.000.00-0.0054141.44-20398.364209.31-1075.20-703297.29264974.7-54678.914590.5rdkalfabetabeta -alfardk=012.9900Cos b06E-1700Sen b0100Sen(b-a)0-100Kpk-20398.358980615848178.2549680489-29754.91467004222165.6575515869Portico 1-1-0.000.00-0.000.00-20398.3648178.25-29754.912165.66264974.68-625835.5386516.3-29388.01-312.9918090-900012.9900000001000-104209.306227028-29754.914670042244270.9207094816-17830.0721377480.00-0.000.00-0.004209.31-29754.9144270.92-17830.07-54678.89386516.3-575079.3241954.1413.5718090-9000013.5700000001000-1-1075.20322103432165.6575515869-17830.07213774814880.5075569248-0.000.00-0.000.00-1075.202165.66-17830.0714880.5113966.89-28131.9231612.6-201928.5-0.000.00-0.000.00-703297.29264974.68-54678.8914590.519135831.80-3442021.1710278.8-181429.90.00-0.000.00-0.00264974.68-625835.53386516.34-29387.97-3442021.138129603.6-5020847.3365433.3-0.000.00-0.000.00-54678.89386516.34-575079.26241954.08710278.75-5020847.37470279.6-3008648.20.00-0.000.00-0.0013966.89-28131.89231612.64-201928.49-197993.19398794.8-3283316.92740169.60.00-0.00-0.000.000.00-0.00-0.000.00-0.000.000.00-0.00PORTICO 2-2-8.6454E-290.00-0.00-0.00-0.000.00-0.00-0.000.00-0.000.000.00-0.00-0.000.00-0.00-0.00-0.000.00-0.000.000.00-0.000.00VECTORES POSICION0.00-0.00-0.000.000.00-0.00-0.000.00-0.000.000.00-0.000.00-0.00-0.000.0054101.36-23039.35-2031.91896.17-432269.83184084.3716234.95-7680.157.990006E-170001000-100054101.355-23039.345-2031.909896.167Portico 2-2-0.000.00-0.00-0.00-23039.3550092.38-20747.00-2890.13184084.37-400238.09165768.5124768.42rdkalfabetabeta -alfardk=07.9900Cos b0.0000Sen b0100Sen(b-a)0-100Kpk-23039.34550092.377-20746.997-2890.131-0.00-0.000.00-0.00-2031.91-20747.0044292.36-21352.4416234.95165768.51-353895.94182990.441-37.9918090-90007.9900000001000-10-2031.909-20746.99744292.358-21352.4430.00-0.00-0.000.00896.17-2890.13-21352.4422412.11-7160.3723092.15170606.02-192071.8048.5718090-900008.5700000001000-1896.167-2890.131-21352.44322412.112-0.000.000.00-0.00-432269.828119126184084.3716234.95-7680.153453835.93-1470834.11-129717.2557211.380.00-0.000.000.00184084.368936772-400238.09165768.50718004424768.42-1470834.113197902.36-1324490.37-184506.270.000.00-0.000.0016234.95165768.51-353895.94182990.44-129717.25-1324490.372827628.55-1363142.09-0.000.000.00-0.00-7160.3723092.15170606.019117242-192071.8065818.89-212265.40-1568228.041646055.29PORTICO 3-30.00-0.00-0.000.000.00-0.00-0.000.00-0.000.000.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.000.00-0.000.000.00VECTORES POSICION-0.00-0.000.00-0.00-0.00-0.000.00-0.000.000.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.00-0.000.000.00-0.002.9900000001000-100054101.355-23039.345-2031.909896.167Portico 3-30.00-0.00-0.000.0054101.3552089019-23039.3452987198-2031.91896.17-161763.0568887.646075.41-3244.12rdkalfabetabeta -alfardk=02.9900Cos b0000Sen b0100Sen(b-a)0-100Kpk-23039.34550092.377-20746.997-2890.131-0.000.00-0.00-0.00-23039.345298719850092.38-20747.00-2890.1368887.64-149776.2162033.5210462.281-32.9918090-90002.9900000001000-10-2031.909-20746.99744292.358-21352.443-0.00-0.000.00-0.00-2031.91-20747.0044292.36-21352.446075.4162033.52-132434.1577295.8443.6218090-900003.6200000001000-1896.167-2890.131-21352.44322412.1120.00-0.00-0.000.00896.17-2890.13-21352.4422412.11-2679.548641.4963843.80-81131.84-0.000.000.00-0.00-161763.0568887.646075.41-3244.12483671.53-205974.05-18165.478011.820.00-0.000.000.0068887.64-149776.2162033.5210462.28-205974.05447830.86-185480.23-25838.060.000.00-0.000.006075.4162033.52-132434.1577295.84-18165.47-185480.23395978.11-190892.98-0.000.000.00-0.00-2679.548641.4963843.80-81131.8411743.73-37873.44-279810.95293697.270.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.00PORTICO 4-4-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00VECTORES POSICION0.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.0054101.36-23039.35-2031.91896.17108743.72-46309.08-4084.141281.522.0100000001000100054101.355-23039.345-2031.909896.167-0.000.00-0.00-0.00-23039.3550092.38-20747.00-2890.13-46309.08100685.68-41701.46-4132.89rdkalfabetabeta -alfardk=02.0100Cos b0000Sen b0100Sen(b-a)0100Kpk-23039.34550092.377-20746.997-2890.131Portico 4-4-0.00-0.000.00-0.00-2031.91-20747.0044292.36-21352.44-4084.14-41701.4689027.64-30533.991-32.0109090002.010000000100010-2031.909-20746.99744292.358-21352.4430.00-0.00-0.000.00896.17-2890.13-21352.4422412.111801.30-5809.16-42918.4132049.3241.43090900001.43000000010001896.167-2890.131-21352.44322412.1120.00-0.00-0.000.00108743.72-46309.08-4084.141281.52218574.89-93081.26-8209.113620.60-0.000.00-0.00-0.00-46309.08100685.68-41701.46-4132.89-93081.26202378.21-83819.94-11676.42-0.00-0.000.00-0.00-4084.14-41701.4689027.64-30533.99-8209.11-83819.94178945.55-86266.000.00-0.00-0.000.001801.30-5809.16-42918.4132049.321832.57-5910.03-43663.6145830.53PORTICO 5-50.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00VECTORES POSICION-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.000.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.007.0100000001000100054101.355-23039.345-2031.909896.1670.00-0.00-0.000.0054101.36-23039.35-2031.91896.17379250.50-161505.81-14243.685762.35rdkalfabetabeta -alfardk=07.0100Cos b0000Sen b0100Sen(b-a)0100Kpk-23039.34550092.377-20746.997-2890.131Portico 5-5-0.000.00-0.00-0.00-23039.3550092.38-20747.00-2890.13-161505.81351147.56-145436.45-18583.541-37.0109090007.010000000100010-2031.909-20746.99744292.358-21352.443-0.00-0.000.00-0.00-2031.91-20747.0044292.36-21352.44-14243.68-145436.45310489.43-137296.2146.43090900006.43000000010001896.167-2890.131-21352.44322412.1120.00-0.00-0.000.00896.17-2890.13-21352.4422412.116282.13-20259.82-149680.63144109.880.00-0.00-0.000.00379250.50-161505.81-14243.685762.352658546.01-1132155.73-99848.1944037.73-0.000.00-0.00-0.00-161505.81351147.56-145436.45-18583.54-1132155.732461544.42-1019509.51-142021.34-0.00-0.000.00-0.00-14243.68-145436.45310489.43-137296.21-99848.19-1019509.512176530.89-1049261.180.00-0.00-0.000.006282.13-20259.82-149680.63144109.8837051.93-119492.19-882814.62926626.51PORTICO 6-60.00-0.00-0.000.000.00-0.00-0.000.000.00-0.00-0.000.00VECTORES POSICION-0.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.00-0.000.00-0.00-0.00-0.000.00-0.00-0.00-0.000.00-0.0011.0100000001000100065029.013-25015.729-6325.8522920.7270.000.00-0.000.000.000.00-0.000.000.000.00-0.000.00rdkalfabetabeta -alfardk=011.0100Cos b0000Sen b0100Sen(b-a)0100Kpk-25015.72962311.337-31034.5801371.8010.00-0.00-0.000.0065029.01-25015.73-6325.852920.73715969.43-275423.18-69647.6330463.181-311.01090900011.010000000100010-6325.852-31034.58063904.739-29624.950Portico 6-6-0.000.00-0.000.00-25015.7362311.34-31034.581371.80-275423.18686047.82-341690.7214307.89410.430909000010.430000000100012920.7271371.801-29624.95023819.724-0.00-0.000.00-0.00-6325.85-31034.5863904.74-29624.95-69647.63-341690.72703591.17-308988.230.000.00-0.000.002920.731371.80-29624.9523819.7232157.2115103.53-326170.70248439.720.00-0.00-0.000.00715969.43-275423.18-69647.6330463.187882823.40-3032409.17-766820.44354050.85-0.000.00-0.000.00-275423.18686047.82-341690.7214307.89-3032409.177553386.49-3762014.84166289.90-0.00-0.000.00-0.00-69647.63-341690.72703591.17-308988.23-766820.44-3762014.847746538.81-3591139.420.000.00-0.000.0032157.2115103.53-326170.70248439.72317731.02149231.28-3222747.242591226.26PORTICO 7-70.00-0.000.000.000.00-0.000.000.000.00-0.000.000.00VECTORES POSICION-0.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.000.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.000.00-0.009.0300000001000100025797.264-13711.639974.933870.1610.000.00-0.000.000.000.00-0.000.000.000.00-0.000.00rdkalfabetabeta -alfardk=09.0300Cos b0000Sen b0100Sen(b-a)0100Kpk-13711.63924607.711-14060.9562088.5310.00-0.000.000.0025797.26-13711.64974.93870.16232949.29-123816.108803.647335.461-39.0309090009.030000000100010974.933-14060.95624269.885-11238.213Portico 7-7-0.000.00-0.000.00-13711.6424607.71-14060.962088.53-123816.10222207.63-126970.4317606.3248.43090900008.43000000010001870.1612088.531-11238.2137880.3890.00-0.000.00-0.00974.93-14060.9624269.88-11238.218803.64-126970.43219157.06-94738.130.000.00-0.000.00870.162088.53-11238.217880.397857.5518859.44-101481.0666431.680.00-0.000.000.00232949.29-123816.108803.647335.462103532.10-1118059.4279496.8870953.72-0.000.00-0.000.00-123816.10222207.63-126970.4317606.32-1118059.422006534.87-1146542.99170300.720.00-0.000.00-0.008803.64-126970.43219157.06-94738.1379496.88-1146542.991978988.25-916373.980.000.00-0.000.007857.5518859.44-101481.0666431.6861837.91148421.27-798642.46560019.06MATRIZ DE RIGIDEZ TRIDIMENSIONAL DE LA ESTRUCTURA4661453.14-2011760.65568355.32-432992.050.00-0.00-0.000.003931182.24-1619141.88470200.63-455739.66-2011760.651240665.80-589600.87310547.72-0.000.00-0.00-0.00-1619141.88778684.38-307438.85259188.30MATRIZ DE RIGIDEZ TRIDIMENSIONAL DE LA ESTRUCTURA568355.32-589600.87636305.15-337648.96-0.00-0.000.00-0.00470200.63-307438.85232431.31-164676.62-432992.05310547.72-337648.96220280.300.00-0.00-0.000.00-425924.91242232.06-153903.38115970.834661453.143-2011760.65568355.32-432992.050.00-0.00-0.000.003931182.24-1619141.88470200.63-455739.660.00-0.00-0.000.00361373.14-151283.11-9269.256300.35139582.77-89107.48-111540.3448508.75-2011760.6471240665.80-589600.87310547.72-0.000.00-0.00-0.00-1619141.88778684.38-307438.85259188.30-0.000.00-0.00-0.00-151283.11335466.81-157838.44-5934.53-89107.48184238.86-41480.7015040.50568355.324-589600.87636305.15-337648.96-0.00-0.000.00-0.00470200.63-307438.85232431.31-164676.62-0.00-0.000.00-0.00-9269.25-157838.44309614.98-144103.01-111540.34-41480.70260855.95-69316.21-432992.053310547.72-337648.96220280.300.00-0.00-0.000.00-425924.91242232.06-153903.38115970.830.00-0.00-0.000.006300.35-5934.53-144103.01136229.0752225.1611495.74-154188.3415898.470.000-0.00-0.000.00361373.14-151283.11-9269.256300.35139582.77-89107.48-111540.3448508.753931182.24-1619141.88470200.63-455739.66139582.77-89107.48-111540.3448508.75117598701.99-49269183.6010850749.55-8773070.14-0.0000.00-0.00-0.00-151283.11335466.81-157838.44-5934.53-89107.48184238.86-41480.7015040.50-1619141.88778684.38-307438.85259188.30-89107.48184238.86-41480.7015040.50-49269183.6045685767.16-22214833.116245424.83-0.000-0.000.00-0.00-9269.25-157838.44309614.98-144103.01-111540.34-41480.70260855.95-69316.21470200.63-307438.85232431.31-164676.62-111540.34-41480.70260855.95-69316.2110850749.55-22214833.1132207151.57-15520340.290.000-0.00-0.000.006300.35-5934.53-144103.01136229.0752225.1611495.74-154188.3415898.47-425924.91242232.06-153903.38115970.8352225.1611495.74-154188.3415898.47-8894244.046273347.68-15442765.5912383549.063931182.236-1619141.88470200.63-455739.66139582.77-89107.48-111540.3448508.75117598701.99-49269183.6010850749.6-8773070.14-1619141.880778684.38-307438.85259188.30-89107.48184238.86-41480.7015040.50-49269183.6045685767.16-22214833.116245424.83XCR = Kyy-1 * KyoYCR = Kxx-1 * KXo0.38630.589012.03347.69940.8433380.8048380.8273001.0525360.58900.54920.2628-2.53440.8048380.6276340.5214360.834617XCR =12.03340.26280.84250.4810YCR =0.8273000.5214360.3652830.4877158.2892-1.93711.07000.11670.9836780.7800160.4558090.526469LA RIGIDEZ SE MULTIPLICA POR LA GRAVEDAD45728855.3328825-19735371.94831035575565.73075987-4247652.036585810.0000000002-0.0000000001-0038564897.7357094-15883781.84230334612668.20425811-4470806.05370513-19735371.948310412170931.4810799-5783984.494818683046473.17676773-0.00000000010.0000000002-0.0000000001-0-15883781.84230337638893.78967821-3015975.071968272542637.253205075575565.73075988-5783984.494818696242153.52442668-3312336.34473344-0-0.00000000010.0000000002-0.00000000014612668.20425812-3015975.071968282280151.16871408-1615477.62738069-4247652.036585823046473.17676773-3312336.344733442160949.785051850-0-0.00000000010.0000000001-4178323.414677692376296.4983225-1509792.175122141137673.867178630.0000000002-0.0000000001-003545070.46236616-1484087.29479471-90931.321750617861806.45928403191369307.0008559-874144.376423061-1094210.73059506475870.820899517-0.00000000010.0000000002-0.0000000001-0-1484087.294794713290929.41544178-1548395.08296196-58217.7864573826-874144.3764230631807383.1714556-406925.628867612147547.327818593-0-0.00000000010.0000000002-0.0000000001-90931.3217506171-1548395.082961963037322.90568498-1413650.49697799-1094210.73059505-406925.6288676152558996.87134985-679991.9897363590-0-0.00000000010.000000000161806.4592840318-58217.7864573824-1413650.496977991336407.14356783512328.862750493112773.172130358-1512587.5885849155963.96476406438564897.7357094-15883781.84230334612668.20425811-4470806.053705131369307.0008559-874144.376423061-1094210.73059506475870.8208995171153643266.55286-483330691.131596106445853.115376-86063818.1008811-15883781.84230337638893.78967821-3015975.071968272542637.25320507-874144.3764230631807383.1714556-406925.628867612147547.327818593-483330691.131596448177375.83635-217927512.79727561267617.62319674612668.20425812-3015975.071968282280151.16871408-1615477.62738069-1094210.73059505-406925.6288676152558996.87134985-679991.989736359106445853.115376-217927512.797275315952156.872273-152254538.225047-4178323.414677692376296.4983225-1509792.175122141137673.86717863512328.862750493112773.172130358-1512587.5885849155963.964764064-87252534.009982561541540.7172056-151493530.397331121482616.249637USANDO EL METODO DE JACOBIANOPRIMERA ITERCIONI =1cos sen 0000J =2000000000000sen cos 0000P0 =000000000000000000001000000000000100000000000010000000000001aii =45728855.33-19735371.94831035575565.73075987-4247652.03658581-19735371.9512170931.4810799-5783984.494818683046473.176767735575565.73-5783984.494818696242153.52442668-3312336.34473344-4247652.043046473.17676773-3312336.344733442160949.78505185ajj =3545070.46-1484087.29479471-90931.321750617861806.4592840319-1484087.293290929.41544178-1548395.08296196-58217.7864573826-90931.32-1548395.082961963037322.90568498-1413650.4969779961806.46-58217.7864573824-1413650.496977991336407.14356783aij =0.0000000-0.0000000001-00-0.00000000.0000000002-0.0000000001-0-0.0000000-0.00000000010.0000000002-0.00000000010.0000000-0-0.00000000010.0000000001tan 2 =2 aij0.0000000004-0.0000000002-0042183784.87-18251284.65351565666497.05251049-4309458.49586985aii - ajj-0.00000000020.0000000004-0.0000000002-0-18251284.65351568880002.06563808-4235589.411856723104690.96322511-0-0.00000000020.0000000004-0.00000000025666497.0525105-4235589.411856733204830.6187417-1898685.847755450-0-0.00000000020.0000000002-4309458.495869853104690.96322511-1898685.84775545824542.64148401600-0-0tan 2 =000-0-0000-0-0000.00000.0000-0.0000-0.00000.00000.00000.0000-0.0000 =-0.00000.00000.00000.0000-0.0000-0.00000.00000.00001.00001.00001.00001.0000-0-0000.00000.00000.00000.00001.00001.00001.00001.0000-0-0-000.00000.00000.00000.00001.00001.00001.00001.00000-0-0-00.00000.00000.00000.00001.00001.00001.00001.000000-0-00.00000.00000.00000.00000.00000.0000-0.0000-0.00001.00001.00001.00001.00000.00000.00000.00000.0000P0 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P017388278.289599617388278.289599617388278.289599617388278.28959960.00000000010.00000000020.00000000030.000000000323115460.6829865-8884566.626270852367052.12588178-2405972.560702111.0000111-0-000000017388278.289599617388278.289599617388278.289599617388278.28959960.00000000010.00000000020.00000000040.000000000323115460.6829865-8884566.626270852367052.12588178-2405972.560702111111-0-0-00000017388278.289599617388278.289599617388278.289599617388278.289599600.00000000020.00000000030.000000000323115460.6829865-8884566.626270852367052.12588178-2405972.5607021111110-0-0-0000017388278.289599617388278.289599617388278.289599617388278.289599600.00000000020.00000000030.000000000223115460.6829865-8884566.626270852367052.12588178-2405972.560702111 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ITERCIONI =1cos 0000sen J =3000000000000000010000000P0 =000001000000000000100000000000010000sen 0000cos 000000000000aii =17388278.2917388278.289599617388278.289599617388278.289599617388278.2917388278.289599617388278.289599617388278.289599617388278.2917388278.289599617388278.289599617388278.289599617388278.2917388278.289599617388278.289599617388278.2895996ajj =1153643266.55-483330691.131596106445853.115376-86063818.1008811-483330691.13448177375.83635-217927512.79727561267617.6231967106445853.12-217927512.797275315952156.872273-152254538.225047-87252534.0161541540.7172056-151493530.397331121482616.249637aij =22822978.04422822978.04422822978.04422822978.044-8718225.871-8718225.871-8718225.871-8718225.8712261366.6742261366.6742261366.6742261366.674-2174145.224-2174145.224-2174145.224-2174145.224tan 2 =2 aij45645956.087918245645956.087918245645956.087918245645956.0879182-1136254988.3500718969.421195-89057574.8257766103452096.390481aii - ajj-17436451.7427766-17436451.7427766-17436451.7427766-17436451.7427766500718969.421195-430789097.546751235315791.086874-43879339.33359714522733.347246474522733.347246474522733.347246474522733.34724647-89057574.8257769235315791.086875-298563878.582673169642816.514646-4348290.4485974-4348290.4485974-4348290.4485974-4348290.4485974104640812.299582-44153262.427606168881808.68693-104094337.960038-0.04017228220.0911608285-0.5125443420.4412279469tan 2 =-0.03482283040.0404756106-0.07409809460.3973727045-0.05078437580.0192198463-0.01514829380.0266603293-0.04155444090.0984817477-0.0257475360.0417725933-1.15022.6044-13.568611.9042-0.99721.1589-2.118910.8358 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P0275783403.545025279285772.584245258006490.050557284376668.72318-3651.3630196986-3651.3630196982-3651.3630196975-3651.363019697851836809.059626937390031.852504664151496.230792815275739.24434453.9991103.9975123.9712953.960357-0.000000-0.0000000.0000000.0000000.083609-0.1243360.292026-0.428470279283265.392239285666191.442234250020018.507958296524665.572224-24227.7651799402-24227.7651799397-24227.765179939-24227.765179939487862549.743069773149176.61281498885373.676664649903828.5751853.9991103.9975123.9712953.960357-0.000000-0.000000-0.0000000.0000000.083609-0.1243360.292026-0.428470258249691.330801250246918.814034289638019.778119232240683.9001310537.146069697710537.146069698210537.146069698810537.1460696985-92891556.3979965-106086631.654868-75128587.8973388-123363294.9148063.9991103.9975123.9712953.9603570.000000-0.000000-0.000000-0.0000000.083609-0.1243360.292026-0.428470284267011.593816296428640.053633231903271.451789323707838.61937791040.377699007791040.377699008291040.377699008991040.3776990086168130912.758642152993465.781937176541455.588667127149489.675962 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ITERCIONI =1cos sen 0000J =2000000000000sen cos 0000P0 =000000000000000000001000000000000100000000000010000000000001aii =275783403.55279285772.584245258006490.050557284376668.72318279283265.39285666191.442234250020018.507958296524665.572224258249691.33250246918.814034289638019.778119232240683.90013284267011.59296428640.053633231903271.451789323707838.619377ajj =2142778.882142778.879743512142778.879743512142778.879743512142778.882142778.879743512142778.879743512142778.879743512142778.882142778.879743512142778.879743512142778.879743512142778.882142778.879743512142778.879743512142778.87974351aij =90.1129492.401-1119.18098271.09790.1129492.401-1119.18098271.09790.1129492.401-1119.18098271.09790.1129492.401-1119.18098271.097tan 2 =2 aij180.224799769618984.8023930138-2238.3606704778196542.194999233273640624.7277142993.704501255863711.170814282233889.843436aii - ajj180.224799770618984.8023930148-2238.3606704769196542.194999234277140486.512496283523412.56249247877239.628214294381886.69248180.22479977218984.8023930162-2238.3606704756196542.194999236256106912.451057248104139.934291287495240.898376230097905.020386180.224799771318984.8023930156-2238.3606704763196542.194999235282124232.714073294285861.173889229760492.572046321565059.7396340.00000065860.0000685018-0.00000874830.0006963806tan 2 =0.00000065030.0000669603-0.00000903010.00066764360.00000070370.0000765195-0.00000778570.00085416770.00000063880.0000645114-0.00000974210.00061120510.00000.0020-0.00030.01990.00000.0019-0.00030.0191 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=-0.00035-0.00033-0.00043-0.000311.000001.000001.000001.000000000000000001000000000000100000000000010000000000001A(1) = P0t * A0 * P04375628551.598094375628559.077784375628550.156444375628380.31018293356.678645981143933.366296711314170.626567375-1245584.13091628214938715.4246157446042.853402264449737.86261568965762.829280215.92827415.92827415.92827415.928273-0.000005-0.0005500.000070-0.0056330.083609-0.1243360.292026-0.4284704375628563.600954375628571.120814375628562.153734375628392.72771294530.242365464145106.929637316315344.190349971-1244410.57083179214938742.309249157446069.746908264449764.98247268965788.491750715.92827415.92827415.92827415.928273-0.000005-0.0005500.000070-0.0056330.083609-0.1243360.292026-0.4284704375628549.529464375628557.003594375628548.088594375628378.18408293194.008756619143770.696473699314007.956667341-1245746.80015926214938711.681658157446039.114544264449734.08234368965759.269159115.92827415.92827415.92827415.928273-0.000005-0.0005500.000070-0.0056330.083609-0.1243360.292026-0.4284704375628426.96954375628434.863864375628425.470384375628259.96206305470.842925074156047.535162583326284.790317378-1233469.91653267214938986.548824157446317.321313264450008.3590668966029.47029473 =15.92827415.92827415.92827415.928273-0.000005-0.0005500.000070-0.0056330.083609-0.1243360.292026-0.428470425500.795274441426674.358930061425338.125383381437614.95404732934284461.845103234284448.218937634284464.044651834284329.2958068788236.277668975787513.487052222795990.103339046750057.6400454060.0000010.000138-0.0000180.0014154.0000004.0000004.0000004.0000000.000000-0.0000000.000000-0.000000276073.083407664277246.646825974275910.41356333288187.2482278634284452.354794634284443.832954434284453.843777634284372.3910094781716.650344381782955.370875691787745.322162792748500.6583579640.0000010.000138-0.0000180.0014154.0000004.0000004.0000004.0000000.000000-0.0000000.000000-0.000000446314.090020171447487.653715783446151.420121643458428.24802549934284463.369198134284449.0325134284465.667786234284323.5043714789383.743520483788387.207571783797367.896904487750507.357786220.0000010.000138-0.0000180.0014154.0000004.0000004.0000004.0000000.000000-0.0000000.000000-0.000000-1113528.75182788-1112355.19046811-1113691.42125817-1101414.5291331634284368.41728734284407.378115634284363.300653634284777.7756751729214.62902898748676.133313541718860.960214101741927.463101450.0000010.000138-0.0000180.0014154.0000004.0000004.0000004.0000000.000000-0.0000000.000000-0.000000214979624.948237214979651.820938214979621.206941214979895.936937787889.368301733781366.953506835789036.817808591728825.233596606497639682.533303493892204.17299481856261.994999478312708.495378-0.002968-0.002968-0.002968-0.0029680.0000000.0000010.0000000.0000290.9997980.9989670.9720900.978494157493961.12681157493988.156168157493957.36911157494236.984069791484.595211625786923.394721159792358.324188252752601.130520518493891174.705351490902928.452429477505564.560051476506381.7187330.1538430.1538430.1538430.153843-0.000000-0.0000050.000001-0.0000420.9998490.9997950.9993160.982170264609639.313491264609666.575427264609635.513504264609911.25792800144.921676492791893.333451037801523.271381984722932.327939166481823900.141462477472603.181792467403191.206195461335545.685557-0.010006-0.010006-0.010006-0.0100060.0000000.000000-0.0000000.0000050.9996780.9999540.9999710.99991169076334.949222869076360.648696669076331.383955969076601.9549807751142.138348482749579.838472971751592.148540322742941.913394034478292335.45412476486367.241367461352316.853898464166623.7519680.0363010.0363010.0363010.036301-0.000000-0.0000010.000000-0.0000100.9997840.9987960.9999170.999782CUARTA ITERCIONI =1cos 0000sen J =3000000000000000010000000P0 =000001000000000000100000000000010000sen 0000cos 000000000000aii =4375628552437562855943756285504375628380437562856443756285714375628562437562839343756285504375628557437562854843756283784375628427437562843543756284254375628260ajj =497639683493892204481856262478312708493891175490902928477505565476506382481823900477472603467403191461335546478292335476486367461352317464166624aij =214979624.9214979651.8214979621.2214979895.9157493961.1157493988.2157493957.4157494237.0264609639.3264609666.6264609635.5264609911.369076334.969076360.669076331.469076602.0tan 2 =2 aij429959249.896473429959303.641876429959242.413882429959791.8738753877988869.13881736354.904793893772288.161443897315671.81481aii - ajj314987922.253619314987976.312337314987914.738221314988473.9681393881737388.89563884725642.668393898122997.593683899122011.00898529219278.626981529219333.150853529219271.027008529219822.515843893804649.3883898155953.82183908225356.882393914292832.49852138152669.898446138152721.297393138152662.767912138153203.9099613897336091.515383899142067.62253914276108.616483911461636.210090.11087170810.11076468480.11042228730.110322034tan 2 =0.08114611850.08108371230.0808050220.0807844620.1359131560.13576145730.13541165690.13520189860.03544797440.0354315690.03529456250.03532009693.16333.16033.15063.14782.31962.31782.30992.3093 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P070156681144.020770156684726.947970156690020.535570156695267.96281327968.38865311729860.2940812991411324.36638823-4830627.91155816-6474661.84362061-3552648.945142796055950.46238658688616.9085262663.64865463.64878463.64920763.649325-0.000005-0.0005500.000070-0.005633-3.058624-3.055975-3.047260-3.04487370156684661.190370156688257.096970156693593.513270156698852.56161327839.42109873729731.0426016681411195.39947452-4830761.12428255-6787256.3656425-3865243.45893465743356.204103638376022.5515167163.64865463.64878463.64920763.649325-0.000005-0.0005500.000070-0.005633-3.058624-3.055975-3.047260-3.04487370156689760.392470156693399.127970156698876.870670156704174.26561327416.53131617729307.2712055131410772.50405055-4831197.45484012-7818759.21260603-4896746.549737894711853.065272917344518.842755663.64865463.64878463.64920763.649325-0.000005-0.0005500.000070-0.005633-3.058624-3.055975-3.047260-3.04487370156694937.788270156698588.144770156704104.233370156709412.03331327299.72684509729190.1953276731410655.70257522-4831318.23636023-8098633.67311015-5176620.918396264431979.203180187064644.968376373 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ITERCIONI =1cos sen 000058077.286-0.001-0.00058077.2860.0000.000J =20000K* =-0.00129134.827-738.981K* =0.00029134.8270.0000000-0.000-738.9811071581.0780.0000.0001071581.0780000sen cos 0000P0 =000061.79914.267-33.3680000R* =-14.72160.1240.05300003.8560.884534.965000000001000000000000100000000000010000000000001aii =70156681144701566847277015669002170156695268701566846617015668825770156693594701566988537015668976070156693399701566988777015670417470156694938701566985887015670410470156709412ajj =34284462342844483428446434284329342844523428444434284454342843723428446334284449342844663428432434284368342844073428436334284778aij =-5037140.3-5349736.3-6381237.4-6661116.4-2115126.2-2427722.2-3459223.6-3739102.57493474.47180878.76149377.35869498.910126143.19813547.38782045.48502166.9tan 2 =2 aij-10074280.5842288-10699472.5645752-12762474.7988268-13322232.895404370122396682.270122400278.728970122405556.490970122410938.667aii - ajj-4230252.46847534-4855444.42686951-6918447.13256609-7478205.0396094370122400208.835570122403813.263970122409139.669470122414480.170614986948.803250314361757.373885912298754.625394711738997.750661870122405297.023270122408950.095470122414411.202870122419850.761220252286.262216719627094.640363917564090.766703417004333.872674670122410569.370970122414180.766670122419740.932670122424634.2576-0.0001436671-0.0001525828-0.0001820028-0.0001899854tan 2 =-0.0000603267-0.0000692424-0.0000986624-0.0001066450.00021372550.00020480980.00017538980.00016740720.00028881330.00027989760.00025047750.000242495-0.0041-0.0044-0.0052-0.0054-0.0017-0.0020-0.0028-0.0031 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