pendiente-deflexion

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 METODO PENDIENTE - DEFLEXION a.- Cantidad de tramos : 3 g.- Relacion I ! ".- Cantidad de #isos: 3 Ic! " $ $.- %lt&ras: c.- 'eccion de iga: (.)* (.* +er niel: d.- 'eccion de col&mna: (.)* (.)* )do niel: 3er niel: e.- Inercia de igas: (.((),( .- Inercia de col&mnas: (.(((3), +.- Incognitas : ).- Des#la/amientos: +er niel: )do niel: 3er niel: 3.- Rotaciones: 3.) ).*0 ).*0 .- Ec&aciones de com#ati"ilida d ++.*,3 ! ( 1.*+ ! ( *.,0( ! ( 3.) ).*0 3.) ).*0 2 F 2 2 4 2 I 2  T 5 + 5 ) 5 3  6 +  6 )  6 3 5 +  ! 76 + 8 9 5 )  ! 76 ) -6 + 8 9 5 3  ! 76 3 -6 ) -6 + 89 M F  ! ( M  ! ( M 4  ! ( M I  ! ( M  ;  ! ( 4 %  < 4 =  < 4 C  < 4 D  < 4 E  < 4 F  < 4  < 4 4  < 4 I  < 4  ;  < 4 >  < 4 L  < 4 M  < 4 N  < 4 O  < 4 %  ! M %F  < M F% 4 F  ! M F>  < M >F 4 =  ! M =  < M = 4  ! M L  < M L 4 C  ! M C4  < M 4C 4 4  ! M 4M  < M M4

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Transcript of pendiente-deflexion

Portico Principal 1METODO PENDIENTE - DEFLEXIONa.- Cantidad de tramos :3g.- Relacion de inercias:i.- Longitudes:j.- Cortante basal:k.- Carga distribuida:Iv =81er tramo:4.85m1er nivel:2.022Tn1er tramo:4.590Tn/mb.- Cantidad de pisos:3Ic=12do tramo:2.45m2do nivel:3.871Tn2do tramo:4.040Tn/m3er tramo:2.55m3er nivel:5.670Tn3er tramo:3.190Tn/mbhh.- Alturas:4to tramo:0m4to tramo:0.000Tn/mc.- Seccion de viga:0.250.51er nivel:3.24md.- Seccion de columna:0.250.252do nivel:2.57m3er nivel:2.57me.- Inercia de vigas:0.002604f.- Inercia de columnas:0.0003261.- Incognitas:FGHIJKLMNOPQRST123

2.- Desplazamientos:1er nivel:12do nivel:23er nivel:33.- Rotaciones:1 =(1) /3.242 =(2-1) /2.573 =(3-2-1)/2.574.- Ecuaciones de compatibilidadMF = 0MG = 0MH = 0MI = 0MJ = 0MK = 0ML = 0MM = 0MN = 0MO = 0MP = 0MQ = 0MR = 0MS = 0MT = 0

HA + HB + HC + HD + HE + 11.563=0HF + HG + HH + HI + HJ +9.541=0HK + HL + HM + HN + HO +5.670=0HA =MAF + MFAHF = MFK + MKFHK =MKP + MPK3.242.572.57HB =MBG + MGBHG =MGL + MLGHL =MLQ + MQL3.242.572.57HC =MCH + MHCHH =MHM + MMHHM =MMR + MRM3.242.572.57HD =MDI + MIDHI =MIN + MNIHN =MNS + MSN3.242.572.57HE =MEJ + MJEHJ =MJO + MOJHO =MOT + MTO3.242.572.575.- Momentos de empotramientos:1er tramo:MPQ = - MQP =MKL =- MLK =MFG =- MGF =-8.9972do tramo:MQR = - MRQ =MLM =- MML =MGH =- MHG =-2.0213er tramo:MRS = - MSR =MMN =- MNM =MHI =- MIH =-1.7294to tramo:MST = - MTS =MNO =- MON =MIJ =- MJI =0.0006.- Rigideces relativas:KAF =0.308642KFG =1.649485KBG =0.308642KGH =3.265306KCH =0.308642KHI =3.137255KDI =0.308642KIJ =ERROR:#DIV/0!KFK =0.389105KKL =1.649485KGL =0.389105KLM =3.265306KHM =0.389105KMN =3.137255KIN =0.389105KNO =ERROR:#DIV/0!KKP =0.389105KPQ =1.649485KLQ =0.389105KQR =3.265306KMR =0.389105KRS =3.137255KNS =0.389105KST =ERROR:#DIV/0!KEJ =0.308642KJO =0.389105KOT =0.3891057.- Ecuaciones de momentos:1

MAF =0.308642(F - 3c)FGH

MFA =0.308642(2F - 31) MFK =0.389105(2F + - 3FG MKF =0.389105

Portico Principal 2METODO PENDIENTE - DEFLEXIONPQRSa.- Cantidad de tramos :3g.- Relacion de inercias:i.- Longitudes:j.- Cortante basal:k.- Carga distribuida:2.57Iv =81er tramo:4.85m1er nivel:1.067Tn1er tramo:4.590Tn/mb.- Cantidad de pisos:3Ic=12do tramo:2.45m2do nivel:2.147Tn2do tramo:4.040Tn/mILMN3er tramo:2.55m3er nivel:2.566Tn3er tramo:3.190Tn/mbhh.- Alturas:4to tramo:0m4to tramo:0.000Tn/m2.57c.- Seccion de viga:0.250.501er nivel:3.24md.- Seccion de columna:0.250.252do nivel:2.57mEFGH3er nivel:2.57m3.24e.- Inercia de vigas:0.002604f.- Inercia de columnas:0.000326ABCD1.- Incognitas:efghilmnpqrs1232.- Desplazamientos:1er nivel:12do nivel:23er nivel:33.- Rotaciones:1 =(1) /3.242 =(2-1) /2.573 =(3-2-1)/2.574.- Ecuaciones de compatibilidadMf = 0Mfa + Mfk +Mfg = 0Mk = 0Mkf + Mkl + Mkp = 0Mp = 0Mpk + Mpq = 0

Mg = 0Mgb + Mgf + Mgl + Mgh = 0Ml = 0Mlg + Mlk + Mlq + Mlm = 0Mq = 0Mql + Mqp + Mqr = 0

Mh = 0Mhc + Mhg + Mhm + Mhi = 0Mm = 0Mmh + Mml + Mmr + Mmn = 0Mr = 0Mrm + Mrq + Mrs = 0Mi = 0Mid + Mih + Min + Mij = 0Mn = 0Mni + Mnm + Mns + Mno = 0Ms = 0Msn + Msr + Mst = 0Mj = 0Mje + Mji + Mjo = 0Mo = 0Moj + Mon + Mot = 0Mt = 0Mto + Mts = 0Ha + Hb + Hc + Hd + He + 5.780=0Hf + Hg + Hh + Hi + Hj +4.713=0

Hk + Hl + Hm + Hn + Ho +2.566=0

Ha =Maf + MfaHf = Mfk + MkfHk =Mkp + Mpk3.242.572.57Hb =Mbg + MgbHg =Mgl + MlgHl =Mlq + Mql3.242.572.57Hc =Mch + MhcHh =Mhm + MmhHm =Mmr + Mrm3.242.572.57Hd =Mdi + MidHi =Min + MniHn =Mns + Msn3.242.572.57He =Mej + MjeHj =Mjo + MojHo =Mot + Mto3.242.572.575.- Momentos de empotramientos:1er tramo:Mpq = - Mqp =Mkl =- Mlk =Mfg =- Mgf =-8.9972do tramo:Mqr = - Mrq =Mlm =- Mml =Mgh =- Mhg =-2.0213er tramo:Mrs = - Msr =Mmn =- Mnm =Mhi =- Mih =-1.7294to tramo:Mst = - Mts =Mno =- Mon =Mij =- Mji =0.0006.- Rigideces relativas:Kaf =0.308642Kfg =1.649485Kbg =0.308642Kgh =3.265306Kch =0.308642Khi =3.137255Kdi =0.308642Kij =ERROR:#DIV/0!Kfk =0.389105Kkl =1.649485Kgl =0.389105Klm =3.265306Khm =0.389105Kmn =3.137255Kin =0.389105Kno =ERROR:#DIV/0!Kkp =0.389105Kpq =1.649485Klq =0.389105Kqr =3.265306Kmr =0.389105Krs =3.137255Kns =0.389105Kst =ERROR:#DIV/0!Kej =0.308642Kjo =0.389105Kot =0.3891057.- Ecuaciones de momentos:Maf =0.308642(f - 31)Mbg =0.308642(g - 31)Mch =0.308642(h - 31)Mfa =0.308642(2f - 31)Mgb =0.308642(2g - 31)Mhc =0.308642(2h - 31) Mfk =0.389105(2f + k - 32)Mgl =0.389105(2g + l - 32)Mhm =0.389105(2h + m - 32) Mkf =0.389105(2k + f - 32)Mlg =0.389105(2l + g - 32)Mmh =0.389105(2m + h - 32)

Mkp =0.389105(2k + p - 33)Mlq =0.389105(2l + q - 33)Mmr =0.389105(2m + r - 33)

Mpk =0.389105(2p + k - 33)Mql =0.389105(2q + l - 33)Mrm =0.389105(2r + m - 33)

Mfg =1.649485(2f + g)+ MfgMgh =1.649485(2g + h)+ MghMhi =1.649485(2h + i)+ Mhi

Mgf =1.649485(2g + f)+ MgfMhg =1.649485(2h + g)+ MhgMih =1.649485(2i + h)+ Mih

Mkl =1.649485(2k + l)+ MklMlm =1.649485(2l + m)+ MlmMmn =1.649485(2m + n)+ Mmn

Mlk =1.649485(2l + k)+ MlkMml =1.649485(2m + l)+ MmlMnm =1.649485(2n + m)+ Mnm

Mpq =1.649485(2p + q)+ MpqMqr =1.649485(2q + r)+ MqrMrs =1.649485(2r + s)+ Mrs

Mqp =1.649485(2q + p)+ MqpMrq =1.649485(2r + q)+ MrqMsr =1.649485(2s + r)+ MsrMdi =0.308642(i - 31)Mej =0.308642(j - 31)Mid =0.308642(2i - 31)Mje =0.308642(2j - 31) Min =0.389105(2i + n - 32)Mjo =0.389105(2j + o - 32) Mni =0.389105(2n + i - 32)Moj =0.389105(2o + j - 32)Mns =0.389105(2n + s - 33)Mot =0.389105(2o + t - 33)

Msn =0.389105(2s + n - 33)Mto =0.389105(2t + o - 33)Mij =1.649485(2i + j)+ Mij

Mji =1.649485(2j + i)+ Mji

Mno =1.649485(2n + o)+ Mno

Mon =1.649485(2o + n)+ Mon

Mst =1.649485(2s + t)+ Mst

Mts =1.649485(2t + s)+ Mts8.- Reemplazando en las ecuaciones de compatibilidad:9.- Matriz generalMf = 0Mfa + Mfk +Mfg = 0Mk = 0Mkf + Mkl + Mkp = 0fghijklmnopqrst123Z4.69451.64950.3891-0.9259-1.16738.9974Mfa =0.308642(2f - 31) Mkf =0.389105(2k + f - 32)0.38914.85541.64950.3891-1.1673-1.16738.9974Mfakf1Mkfkkf20.38914.07721.6495-1.16738.9974Coeficientes0.3086422-30.38910521-31.64957.990.3891-0.9259-1.1673-6.97650.6173-0.92590.77820.3891-1.16730.38911.64958.15441.64950.3891-1.1673-1.1673-6.97650.38911.64957.37611.6495-1.1673-6.9765 Mfk =0.389105(2f + k - 32)Mkp =0.389105(2k + p - 33)1.64957.99341.64950.3891-0.9259-1.1673-0.2923Mfkkfk2Mkpkkp30.38911.64958.15441.64950.3891-1.1673-1.1673-0.2923Coeficientes0.38910521-30.38910521-30.38911.64957.37611.6495-1.1673-0.29230.77820.3891-1.16730.77820.3891-1.16731.64957.99341.64950.3891-0.9259-1.1673-1.7286Mfg =1.649485(2f + g)+ MfgMkl =1.649485(2k + l)+ MklMfgkfgMfgMklkklMkl1.64948521-8.9971.64948521-8.9973.29901.6495-8.99743.29901.6495-8.9974Mp = 0Mpk + Mpq = 0Mg = 0Mgb + Mgf + Mgl + Mgh = 0puntomomentosMpk =0.389105(2p + k - 33)Mgf =1.649485(2g + f)+ MgfMFA9.2589Mpkkpk3MgfkgfMgfMFK-1.16730.38910521-31.649485218.997MFG-8.09740.77820.3891-1.16733.29901.64958.9974MPK8.9963MPQ-8.9974Mpq =1.649485(2p + q)+ MpqMgb =0.308642(2g - 31)MKF7.7673MpqkpqMpqMgbkg1MKP1.16731.64948521-8.9970.3086422-3MKL-8.93543.29901.6495-8.99740.6173-0.9259MGF8.9974MGB-4.9959Mgl =0.389105(2g + l - 32)MGL-1.9673Mglkgl2MGH-2.03080.38910521-3MQP3.20740.77820.3891-1.1673MQL-1.1673MQR-2.0388Mgh =1.649485(2g + h)+ MghMLK4.3574MghkghMghMLG-1.16731.64948521-2.021MLQ-1.16733.29901.6495-2.0208MLM-2.021MHG2.0208Ml = 0Mlg + Mlk + Mlq + Mlm = 0Mq = 0Mql + Mqp + Mqr = 0MHC-2.0259MML4.0608Mlk =1.649485(2l + k)+ MlkMqp =1.649485(2q + p)+ MqpMMH-1.1673MlkklkMlkMqpkqpMqpMMR-1.16731.649485218.9971.649485218.997MMN-1.72863.29901.64958.99743.29901.64958.9974MHM1.7273MHI-1.7286Mlg =0.389105(2l + g - 32)Mql =0.389105(2q + l - 33)MRQ2.8958Mlgklg2Mqlkql3MRM-1.16730.38910521-30.38910521-3MRS-1.72860.77820.3891-1.16730.77820.3891-1.1673MIH2.0886MID-0.9219Mlq =0.389105(2l + q - 33)Mqr =1.649485(2q + r)+ MqrMIN-1.1673Mlqklq3MqrkqrMqr0.38910521-31.64948521-2.0210.77820.3891-1.16733.29901.6495-2.0208Mlm =1.649485(2l + m)+ MlmMlmklmMlm1.64948521-2.0213.29901.6495-2.0208Mh = 0Mhc + Mhg + Mhm + Mhi = 0Mm = 0Mmh + Mml + Mmr + Mmn = 0Mhg =1.649485(2h + g)+ MhgMml =1.649485(2m + l)+ MmlMhgkhgMhgMmlkmlMml1.649485212.02084166671.649485212.0213.29901.64952.02083.29901.64952.0208Mhc =0.308642(2h - 31)Mmh =0.389105(2m + h - 32)Mhckh1Mmhkmh20.3086422-30.38910521-30.6173-0.92590.77820.3891-1.1673Mhm =0.389105(2h + m - 32)Mmr =0.389105(2m + r - 33)Mhmkhm2Mmrkmr30.38910521-30.38910521-30.77820.3891-1.16730.77820.3891-1.1673Mhi =1.649485(2h + i)+ MhiMmn =1.649485(2m + n)+ MmnMhikhiMhiMmnkmnMmn1.64948521-1.7291.64948521-1.7293.29901.6495-1.72863.29901.6495-1.7286Mr = 0Mrm + Mrq + Mrs = 0Mi = 0Mid + Mih + Min + Mij = 0Mrq =1.649485(2r + q)+ MrqMih =1.649485(2i + h)+ MihMrqkrqMrqMihkihMih1.649485212.0211.649485211.7293.29901.64952.02083.29901.64951.7286Mrm =0.389105(2r + m - 33)Mid =0.308642(2i - 31)Mrmkrm3Midki10.38910521-30.3086422-30.77820.3891-1.16730.6173-0.9259Mrs =1.649485(2r + s)+ Mrs Min =0.389105(2i + n - 32)MrskrsMrsMinkin21.64948521-1.7290.38910521-33.29901.6495-1.72860.77820.3891-1.1673Mij =1.649485(2i + j)+ MijMijkijMij1.649485210.0003.29901.64950.0000

Portico Secundario

METODO PENDIENTE - DEFLEXION

a.- Cantidad de tramos :3g.- Relacion de inercias:i.- Longitudes:k.- Carga distribuida:0.511.01-2.351.331.15-2.261.111.26-2.21-0.14-0.292.38-1.7-0.39-0.352.43-1.7-0.37-0.432.45-1.700.020.041.69-1.780.050.051.69-1.790.050.051.69-1.7800.220.441.81-2.820.580.511.8-2.820.510.581.81-2.82-0.6-1.22.8-1.6-1.42.81-1.4-1.62.8Iv =81er tramo:4.85m1er tramo:4.590Tn/mb.- Cantidad de pisos:3Ic=12do tramo:2.45m2do tramo:4.040Tn/m3er tramo:2.55m3er tramo:3.190Tn/mbhh.- Alturas:c.- Seccion de viga:0.250.501er nivel:3.24md.- Seccion de columna:0.250.252do nivel:2.57m3er nivel:2.57m

e.- Inercia de vigas:0.002604f.- Inercia de columnas:0.000326

1.- Incognitas:fghijklmnopqrst123

2.- Desplazamientos:1er nivel:12do nivel:23er nivel:3

3.- Rotaciones:1 =(1) /3.242 =(2-1) /2.573 =(3-2-1)/2.574.- Ecuaciones de compatibilidadMe = 0Mea + Mei +Mef = 0Mj = 0Mjf + Mfi + Mjn + Mjk = 0Mp = 0Mpo + Mpl = 0

Mf = 0Mfb + Mfe + Mfj + Mfg = 0Mk = 0Mkg + Mkj + Mko + Mkl = 0

Mg = 0Mgc + Mgf + Mgk + Mgh = 0Ml= 0Mlh + Mlk+ Mlp = 0

Mh = 0Mhd + Mhg + Mhl = 0Mm = 0Mmi + Mmn = 0

Mi = 0Mie + Mim + Mij= 0Mn = 0Mnj + Mnm + Mno = 0

Ha + Hb + Hc + Hd=0He+ Hf + Hg + Hh=0

Hi + Hj + Hk + Hl =0

Ha =Mae + MeaHe = Mei + MieHi =Mim + Mmi3.242.572.57Hb =Mbf + MfbHf =Mfj + MjfHj =Mjn + Mnj3.242.572.57Hc =Mcg + MgcHg =Mgk + MkgHk =Mko + Mok3.242.572.57Hd =Mdh + MhdHh =Mhl + MlhHl =Mlp + Mpl3.242.572.575.- Momentos de empotramientos:

1er tramo:Mef = - Mfe =Mij =- Mji =Mmn =- Mnm=-8.9972do tramo:Mfg = - Mgf =Mjk =- Mkj =Mno =- Mon =-2.0213er tramo:Mgh = - Mhg =Mkl =- Mlk=Mop=- Mpo =-1.729

6.- Rigideces relativas:

Kae =0.308642Kef =1.649485Kbf =0.308642Kfg =3.265306Kcg =0.308642Kgh =3.137255Kdh =0.308642Kei =0.389105Kij =1.649485Kfj =0.389105Kjk =3.265306Kgk =0.389105Kkl =3.137255Khl =0.389105Kim =0.389105Kmn =1.649485Kjn =0.389105Kno =3.265306Kko =0.389105Kop =3.137255Klp=0.389105

7.- Ecuaciones de momentos:COLUMNASMae =0.308642(e - 31)Mbf =0.308642(f - 31)Mcg =0.308642(g - 31)Mdh =0.308642(h - 31)

Mea =0.308642(2e - 31)Mfb =0.3086419753(2f - 31)Mgc =0.3086419753(2g - 31)Mhd =0.308642(2h - 31) Mei =0.389105(2e + i - 32)Mfj =0.389105(2f + j - 32)Mgk =0.389105(2h + m - 32)Mhl =0.389105(2h + m - 32)

Mie =0.389105(2i + e - 32)Mjf =0.389105(2j + f - 32)Mkg =0.389105(2m + h - 32)Mlh =0.389105(2m + h - 32)

Mim =0.389105(2i + m - 33)Mjn =0.389105(2j + n - 33)Mok =0.389105(2o + k - 33)Mlp =0.389105(2o + k - 33)

Mmi =0.389105(2m + i - 33)Mnj =0.389105(2n + j - 33)Mko =0.389105(2k + o - 33)Mpl =0.389105(2k + o - 33)

7.- Ecuaciones de momentos:VIGAS

Mef =1.649485(2e + f)-8.997Mij =1.649485(2i + j)-8.997Mmn =1.649485(2m + n)-8.997

Mfe =1.649485(2f + e)8.997Mji =1.649485(2j + i)8.997Mnm=1.649485(2n + m)8.997

Mfg =3.265306(2f + g)-2.021Mjk =3.265306(2j + k)-2.021Mno =3.265306(2n + o)-2.021

Mgf =3.265306(2g + f)2.021Mkj =3.265306(2k + j)2.021Mon =3.265306(2o + n)2.021

Mgh =3.137255(2g + h)-1.729Mkl =3.137255(2k + l)-1.729Mop =3.137255(2o + p)-1.729

Mhg =3.137255(2h + g)1.729Mlk =3.137255(2l + k)1.729Mpo =3.137255(2p + o)1.7298.- Reemplazando en las ecuaciones de compatibilidad:

Me = 0Mea + Mei +Mef = 0Mf = 0Mfb + Mfe + Mfj + Mfg = 0Mg = 0Mgc + Mgf + Mgk + Mgh = 0

Mea =0.308642(2e - 31)Mfe =0.389105(2f + e)+ MfeMgf =3.265306(2g + f)+ MgfMeake1MfekfeMfeMgfkgfMgf0.3086422-30.389105218.9973.265306210.0000.6173-0.92590.77820.38918.99740.77820.38918.9974

Mei =0.389105(2e + i - 32)Mfb =0.308642(2f - 31)Mgc=0.308642(2g - 31)Meikei2Mfbkf1Mgckg10.38910521-30.3086422-30.3086422-30.77820.3891-1.16730.6173-0.92590.6173-0.9259

Mef =1.649485(2e + f)+ MefMfj =1.649485(2f + j - 32)Mgk =0.389105(2g + k - 32)MefkefMefMfjkfj2Mgkkgk21.64948521-8.9971.64948521-30.38910521-33.29901.6495-8.99743.29901.6495-4.94853.29901.6495-4.9485

Mfg =3.265306(2gf+ g)+ MfgMgh =3.137255(2g+ h)+ MghMfgkfgMfgMghkghMgh3.26530621-2.0213.13725521-1.7296.53063.2653-2.02086.53063.2653-2.0208

Mh = 0Mhd + Mhg + Mhl = 0Mi = 0Mie + Mim + Mij= 0Mj = 0Mjf + Mji + Mjn + Mjk = 0

Mhd =0.308642(2h- 31) Mie =0.389105(2i + e - 32)Mfe =0.000000(2f + e)+ MfeMhdkh1Miekie2MfekfeMfe0.3086422-30.38910521-30.000000212.0000.6173-0.92590.77820.3891-1.16730.77820.38918.9974Mm = 0Mmi + Mmn = 0 Mei =0.389105(2e + i - 32)Mim =0.389105(2i + m - 33)Mfb =0.000000(2f - 31)Meikei2Mimkim3Mfbkf1Mmi =0.389105(2m + i - 33)0.38910521-30.38910521-30.0000002-3Mmikmi30.77820.3891-1.16730.77820.3891-1.16730.6173-0.92590.38910521-30.77820.3891-1.1673Mhg =3.137255(2h + g)+ MhgMij =3.265306(2i + j)+ MklMfj =Mfb =(2f + j - 32)MhgkhgMhgMijkijMijMfjkfj2Mmn =1.649485(2m + n)+ Mmn3.137255211.729ERROR:#REF!ERROR:#REF!-8.9974Mfb =21-3MmnkmnMmn6.27453.13731.72863.29901.6495-4.94851.64948521-8.997

Mfg =0.000000(2gf+ g)+ MfgMfgkfgMfg0.000000210.0006.53063.2653-2.0208

Mh = 0Mhd + Mhg + Mhl = 0Mi = 0Mie + Mim + Mij= 0Mj = 0Mjf + Mji + Mjn + Mjk = 0

Mhd =0.000000(2h- 31) Mie =0.000000(2i + e - 32)Mfe =0.000000(2f + e)+ MfeMhdkh1Miekie2MfekfeMfe0.0000002-30.00000021-30.000000212.0000.00000.00000.00000.00000.00000.77820.38918.9974

Mei =0.000000(2e + i - 32)Mim =0.000000(2i + m - 33)Mfb =0.000000(2f - 31)Meikei2Mimkim3Mfbkf10.00000021-30.00000021-30.0000002-30.00000.00000.00000.77820.3891-1.16730.6173-0.9259

Mhg =0.000000(2h + g)+ MhgMij =0.000000(2i + j)+ MklMfj =Mim =(2f + j - 32)MhgkhgMhgMijkijMijMfjkfj20.000000210.000ERROR:#REF!ERROR:#REF!-8.9974Mim =21-30.00000.00000.00003.29901.6495-4.9485

Mfg =0.000000(2gf+ g)+ MfgMfgkfgMfg0.000000210.0006.53063.2653-2.0208

Mh = 0Mhd + Mhg + Mhl = 0Mi = 0Mie + Mim + Mij= 0Mj = 0Mjf + Mji + Mjn + Mjk = 0

Mhd =+ Mgh(2h- 31) Mie =0.000000(2i + e - 32)Mfe =0.000000(2f + e)+ MfeMhdkh1Miekie2MfekfeMfe+ Mgh2-30.00000021-30.00000021iERROR:#VALUE!ERROR:#VALUE!0.00000.00000.00000.77820.38918.9974

Mei =0.000000(2e + i - 32)Mim =Mh = 0(2i + m - 33)Mfb =0.000000(2f - 31)Meikei2Mimkim3Mfbkf10.00000021-3Mh = 021-30.0000002-30.00000.00000.00000.77820.3891-1.16730.6173-0.9259

Mhg =0.000000(2h + g)+ MhgMij =0.000000(2i + j)+ MklMfj =0.000000(2f + j - 32)MhgkhgMhgMijkijMijMfjkfj20.000000210.000ERROR:#REF!ERROR:#REF!-8.99740.00000021-30.00000.00000.00003.29901.6495-4.9485

Mfg =0.000000(2gf+ g)+ MfgMfgkfgMfg0.000000210.7786.53063.2653-2.0208

Mfk + Mkf =0.389105(3k + 3f - 62)Maf + Mfa =ERROR:#REF!(3f - 61)2.573.24 Mfk + Mkf =1(3k + 3f - 62)Maf + Mfa =ERROR:#REF!(3f - 61)Ckf2Cf1133-6ERROR:#REF!3-633-6ERROR:#REF!ERROR:#REF!Mgl + Mlg =0.389105(3l + 3g - 62)Mbg + Mgb =ERROR:#REF!(3g - 61)2.573.24Mgl + Mlg =1(3l + 3g - 62)Mbg + Mgb =ERROR:#REF!(3g - 61)Clg2Cg1133-6ERROR:#REF!3-633-6ERROR:#REF!ERROR:#REF!Mhm + Mmh =0.389105(3m + 3h - 62)Mch + Mhc =ERROR:#REF!(3h - 61)2.573.24Mhm + Mmh =1(3m + 3h - 62)Mch + Mhc =ERROR:#REF!(3h - 61)Cmh2Ch1133-6ERROR:#REF!3-633-6ERROR:#REF!ERROR:#REF!Min + Mni =ERROR:#REF!(3n + 3i - 62)Mdi + Mid =ERROR:#REF!(3i - 61)2.573.24Min + Mni =ERROR:#REF!(3n + 3i - 62)Mdi + Mid =ERROR:#REF!(3i - 61)Cni2Ci1ERROR:#REF!33-6ERROR:#REF!3-6ERROR:#REF!ERROR:#REF!ERROR:#REF!ERROR:#REF!ERROR:#REF!Mjo + Moj =ERROR:#REF!(3o + 3j - 62)Mej + Mje =ERROR:#REF!(3j - 61)ERROR:#REF!ERROR:#REF!Mjo + Moj =ERROR:#REF!(3o + 3j - 62)Mej + Mje =ERROR:#REF!(3j - 61)Cnoj2Cj1ERROR:#REF!33-6ERROR:#REF!3-6ERROR:#REF!ERROR:#REF!ERROR:#REF!ERROR:#REF!ERROR:#REF!Hk + Hl + Hm + Hn + Ho +ERROR:#REF!=0Mkp + Mpk =0.389105(3p + 3k - 63)2.57Mkp + Mpk =1(3p + 3k - 63)Cpk3133-633-6Mlq + Mql =0.389105(3q + 3l - 63)2.57Mlq + Mql =1(3q + 3l - 63)Cql3133-633-6Mmr + Mrm =0.389105(3r + 3m - 63)2.57Mmr + Mrm =1(3r + 3m - 63)Crm3133-633-6Mns + Msn =ERROR:#REF!(3s + 3n - 63)2.57Mns + Msn =ERROR:#REF!(3s + 3n - 63)Csn3ERROR:#REF!33-6ERROR:#REF!ERROR:#REF!ERROR:#REF!Mot + Mto =ERROR:#REF!(3t + 3o - 63)ERROR:#REF!Mot + Mto =ERROR:#REF!(3t + 3o - 63)Cto3ERROR:#REF!33-6ERROR:#REF!ERROR:#REF!ERROR:#REF!