Trabajo de Analisis

PREDIMENCIONAMIENTOTRABAJO PRACTICO

DATOS:

Analisis planoSistema estructural: aporticadofc= kg/cm2210Peso esp concreto kg/m32400Fy kg/cm24200

APELLIDOS Y NOMBRES:ANCHIRAICO SEDANO,Alexis

DEFINIENDO LAS DIMENSIONES: (m)

n1:RESIDUO(10,4)=2n2:RESIDUO(6,4)=2L1=5+2/2=6L2=5+2/2=6

Suponer que las luces entre los ejes de las columnas son iguales a la mayor de L1 y L2, por lo tanto:Luz entre ejes:6Separacin transversal:6Altura de entrepisos teneiendo en cuenta las condiciones de uso:

numero total de letras de apellidos y primer nombre:22

residuo 1OFICINAS

por lo tanto:h1=3.5mh2=3m

IDEALIZACIN ESTRUCTURALVISTA EN PERFIL

3m

3.5m

------------------ 6m ------------------------------------------ 6m --------------------------------------------------- 6m ---------------------------

VISTA EN PLANTA1------- 6m ------------666

6666

2666------- 6m ------------

6666

3666------- 6m ------------

6666

4666-------------------------- 6m ----------------------------------------------------- 6m ----------------------------------------------------- 6m ---------------------------

A B C D

PREDIMENSIONAMIENTO

COLUMNAS:

metrado de cargas para predimensionamiento de columnas:

PESO ALIGERADO350kg/mPESO TABIQUERIA100kg/mPESO ACABADO100kg/mPESO VIGAS100kg/mPESO COLUMNAS50kg/m

SOBRECARGA USO DE OFICINAS250kg/m

POR LO TANTO PS=950CARGA A CONSIDERARSE POR PISO

PREDIMENSIONAMIENTO DE LA COLUMNA INTERIOR:

AnchoLargoAreaColumnas Interiores6636Columnas Laterales6318Columnas de Esquinas339

Columnas de Segundo Nivel:

PESO ALIGERADO350kg/mPu = A*Cu.. D.PESO ACABADO100kg/mAc = Pu / (**f'c)Columna dePESO VIGAS100kg/mb x DSOBRECARGA250kg/mb = DPor Servicio: Cu = CM+CVCARGA LTIMA800kg/m.. b ...

AreaPuf'c (Kg/cm)Ac (cm2)b = Db = DColumnas Interiores36288000.45210304.761904761917.4625Columnas Laterales18144000.45210152.38095238112.3425Columnas de Esquinas972000.4521076.19047619058.7325

b x D (m2)L (m)Peso (Kg)Columnas Interiores0.06253450Columnas Laterales0.06253450Columnas de Esquinas0.06253450

Columnas de Primer Nivel:

PESO ALIGERADO350kg/m.. D.TABIQUERA MOVIL100kg/mColumna dePESO ACABADO100kg/mb x DPESO VIGAS100kg/mb = DSOBRECARGA250kg/mPor Servicio: Cu = CM+CV.. b ...CARGA LTIMA900kg/mPu = A*Cu+(Pesos del 2do nivel)Ac = Pu / (**f'c)

AreaPuf'c (Kg/cm)Ac (cm2)b = Db = DColumnas Interiores36616500.3210978.571428571431.2835Columnas Laterales18310500.45210328.571428571418.1325Columnas de Esquinas9157500.45210166.666666666712.9125

TOMANDO EN CUENTA TODAS LAS COLUMNAS IGUALES A LAS COLUMNAS INTERIORES:

b =D = 35cmse usara una columna de: 0.35 x 0.35m

LOSA ALIGERADA:Si SC 350 Kg/m e = L/25Si SC > 350 Kg/m e = L/20por lo tanto:e=0.23e=0.25Considerare como espesor de losa e = 0.25 m

VIGA:h=0.47083333330.565h= de L/10 a L/12h=0.52entonces h=0.55b= de h/3 a h/2 no debe ser menor a 0.25 mb=0.180.275b=0.250.35 Ancho de Columnab=0.35mMETRADO DE CARGAS:

PRIMER PISO:CARGA MUERTA

LOSA ALIGERDA1977.5kg/mVIGA462kg/mACABADOS600kg/mCM3039.5kg/m

CARGA VIVATABIQUERIA600kg/mS/C1500kg/mCV2100kg/m

SEGUNDO PISO:CARGA MUERTA

LOSA ALIGERDA1977.5kg/mVIGA462kg/mACABADOS600kg/mCM3039.5kg/m

CARGA VIVAS/C100kg/mCV565kg/m

PRIMER PISOSEGUNDO PISO CARGA MUERTA :3039.53039.5kg/mCARGA VIVA :2100565kg/m

ACCIONES SISMICAS:Fuerza Ssmica en el Primer Nivel7TONFuerza Ssmica en el Segundo Nivel10TON

&"Algerian,Normal"&K0070C0ANALISIS ESTRUCTURAL I

&"Algerian,Normal"&K0070C0FACULTAD DE INGENIERA CIVIL

DEFORMACIONES ANGULARES5.2158Tn/mPRIMER PISOSEGUNDO PISO M(A)=0MAB + MAE = 0MOMENTOS DE MANEY14) CALCULO LAS FUERZAS CORTANTES :DIAGRAMA DE MOMENTO FLECTORDIAGRAMA DE FUERZA CORTANTECARGA MUERTA :3.03953.0395Tn/m3516.043x(2xA+B)-15.6474 + 1812.176x(2xA+E)= 05.2165.21585.2158ABCDCARGA VIVA :2.1000.565Tn/m10656.438xA+3516.043xB+0xC+0xD+1812.176xE+0xF+0xG+0xH= 15.6474ecuacin 1Columnas del 1er Piso:Vigas:-7.64-18.38-16.40-16.67-18.28-7.59-18.38-18.2817.4291547902CARGA ULTIMA :7.8255.216Tn/mM(B)=0MBA + MBC + MBF = 0MEI=5.2703 Tn*mMAB=-7.6382 Tn*m2do PISOA6BB6CC6D-16.40-16.6713.856327695815.6029220563m3516.043x(2xB+A)+15.6474 + 3516.043x(2xB+C)-15.6474 + 1812.176x(2xB+F)= 0MIE=2.6352 Tn*mMBA=18.3846 Tn*m13.856327695810.767198814317.438472304215.6029220566.934506566915.69187794417.429154790210.843645936113.8656452098-7.64-7.597.8253Tn/mMOMENTOS DE EMPOTRAMIENTO PERFECTO:3516.043xA+17688.524xB+3516.043xC+0xD+0xE+1812.176xF+0xG+0xH= 0ecuacin 2MFJ=-1.904 Tn*mMBC=-16.4033 Tn*m7.64-1.9821.61-7.59M(C)=0MCB + MCD + MCG = 0MJF=-0.952 Tn*mMCB=16.6702 Tn*mA-5.3560673856B1.5461485632C-1.1260861664D5.26853928487.64-1.981.61-7.59-5.361.55-1.135.26853928485.27EFGH3516.043x(2xC+B)+15.6474 + 3516.043x(2xC+D)-15.6474 + 1812.176x(2xC+G)= 0MGK=1.1053 Tn*mMCD=-18.277 Tn*m10.76719881436.934506566910.8436459361 MijijMji0xA+3516.043xB+17688.524xC+3516.043xD+0xE+0xF+1812.176xG+0xH= 0ecuacin 3MKG=0.5527 Tn*mMDC=7.5865 Tn*m333315.69187794413.86564520983.5mM(D)=0MDC + MDH = 0MHL=-5.0581 Tn*mMEF=-13.7009 Tn*m1er PISO17.4384723042ENTONCES:3516.043x(2xD+C)+15.6474 + 1812.176x(2xD+H)= 0MLH=-2.5291 Tn*mMFE=25.1309 Tn*mMAB = MBC = MCD = -(WxL^2)/12 =-15.6474Tn*m0xA+0xB+3516.043xC+10656.438xD+0xE+0xF+0xG+1812.176xH= -15.6474ecuacin 4MFG=-26.5349 Tn*mE-5.3560673856F1.5461485632G-1.1260861664H5.2685392848------------------ 6m ------------------------------------------ 6m --------------------------------------------------- 6m ---------------------------MBA = MCB = MDC = (WxL^2)/12 =15.6474Tn*mM(E)=0MEA + MEI + MEF = 0Columnas del 2do Piso:MGF=23.8229 Tn*m-8.4302.66-1.7718.22IJKL1812.176x(2xE+A) + 1553.293x2xE + 3516.043x(2xE+F)-23.4759= 0MEA=8.4304 Tn*mMGH=-26.6987 Tn*m7.8257.82537.8253-25.1-26.5-26.721.570907902623.927887327625.7MEF = MFG = MGH = -(WxL^2)/12 =-23.4759Tn*m1812.176xA+0xB+0xC+0xD+13763.024xE+3516.043xF+0xG+0xH= 23.4759ecuacin 5MAE=7.6378 Tn*mMHG=13.2773 Tn*m-13.70-25.1-26.5-23.82-26.7-13.28-23.8COLUMNA:MFE = MGF = MHG = (WxL^2)/12 =23.4759Tn*mM(F)=0MFB + MFJ + MFE + MFG = 0MFB=-2.6568 Tn*mE6FF6GG6H-13.70-13.281812.176x(2xF+B) + 1553.293x2xF + 3516.043x(2xF+E)+23.4759 + 3516.043x(2xF+G)-23.4759= 0MBF=-1.9816 Tn*m21.570907902616.029800619925.380892097423.927887327610.048007909223.023912672425.712806556615.545580893321.2389934434-8.4302.66-1.778.22K DE VIGAS:0xA+1812.176xB+0xC+0xD+7032.086xE+20795.11xF+3516.043xG+0xH= 0ecuacin 6MGC=1.7709 Tn*m5.27-1.9041.105-5.065.270-1.9010.04800790921.11-5.06I = (b*h^3)/12KAB = KBC = KCD = 2*E*I/L=3516.04M(G)=0MGC + MGK + MGF + MGH = 0MCG=1.6074 Tn*mE-2.258709921F0.8160113826G-0.4737099852H2.167775710816.0315.5521.23899344340.35I=0.00125052KEF = KFG = KGH =2*E*I/L=3516.041812.176x(2xG+C) + 1553.293x2xG + 3516.043x(2xG+F)+23.4759 + 3516.043x(2xG+H)-23.4759= 0MHD=-8.2191 Tn*m23.0239126724I=12.5052x10^-4 m40xA+0xB+1812.176xC+0xD+0xE+3516.043xF+20795.11xG+3516.043xH= 0ecuacin 7MDH=-7.5865 Tn*m3.53.53.53.525.3808920974K DE COLUMNAS:M(H)=0MHD + MHL + MHG = 0KAE = KBF = KCG = KDH = Iij/L =2*E*I/L=1812.181812.176x(2xH+D) + 1553.293x2xH + 3516.043x(2xH+G)+23.4759= 00.35f'c=210 Kg/cm2KEI = KFJ = KGK = KHL = Iij/L =2*E*I/L=1553.290xA+0xB+0xC+1812.176xD+0xE+0xF+3516.043xG+13763.024xH= -23.4759ecuacin 8MOMENTOS FLECTORES I-2.258709921J0.8160113826K-0.4737099852L2.1677757108Ec=15000*(f'c^0.5)-2.6350.952-0.5532.53VIGA:Ec=217370.651 Kg/cm2Columnas del 1er Piso:I = J = K = L = 0Resolviendo los sistemas de ecuaciones tenemos:Columnas del 1er Piso:Vigas:Ec=2173706.51 Tn/m2MEI=1553.293x2xE=3106.586xEA=0.0012591RadMEI=5.2703 Tn*mMAB=-7.6382 Tn*m2do PISOMIE=1553.293xE=1553.293xEB=-0.0002403RadMIE=-2.6352 Tn*mMBA=-18.3846 Tn*m-2.640.952-0.552.53-2.260.82-0.472.17I = (b*h^3)/12MFJ=1553.293x2xF=3106.586xFC=0.0002656RadMFJ=-1.904 Tn*mMBC=-16.4033 Tn*mI=0.0048526MJF=1553.293xF=1553.293xFD=-0.0012791RadMJF=0.952 Tn*mMCB=-16.6702 Tn*m0.55I=48.526x10^-4 m4MGK=1553.293x2xG=3106.586xGE=0.0016965RadMGK=1.1053 Tn*mMCD=-18.277 Tn*mMKG=1553.293xG=1553.293xGF=-0.0006129RadMKG=-0.5527 Tn*mMDC=-7.5865 Tn*mMHL=1553.293x2xH=3106.586xHG=0.0003558RadMHL=-5.0581 Tn*mMEF=-13.7009 Tn*m1er PISOMLH=1553.293xH=1553.293xHH=-0.0016282RadMLH=2.5291 Tn*mMFE=-25.1309 Tn*m0.35I=0RadMFG=-26.5349 Tn*mColumnas del 2do Piso:Vigas:J=0RadColumnas del 2do Piso:MGF=-23.8229 Tn*mGRADO DE HIPERESTATICIDADMEA=1812.176x(2xE+A)MAB=3516.043x(2xA+B)-15.64742do PISOK=0RadMEA=8.4304 Tn*mMGH=-26.6987 Tn*m8vo GRADO(A ; B ; C; D ; E ; F ; G ; H )MAE=1812.176x(2xA+E)MBA=3516.043x(2xB+A)+15.6474L=0RadMAE=-7.6378 Tn*mMHG=-13.2773 Tn*mMFB=1812.176x(2xF+B)MBC=3516.043x(2xB+C)-15.6474MFB=-2.6568 Tn*mMBF=1812.176x(2xB+F)MCB=3516.043x(2xC+B)+15.6474MBF=1.9816 Tn*mMGC=1812.176x(2xG+C)MCD=3516.043x(2xC+D)-15.6474MGC=1.7709 Tn*mMCG=1812.176x(2xC+G)MDC=3516.043x(2xD+C)+15.6474MCG=-1.6074 Tn*mMHD=1812.176x(2xH+D)MEF=3516.043x(2xE+F)-23.47591er PISOMHD=-8.2191 Tn*mMDH=1812.176x(2xD+H)MFE=3516.043x(2xF+E)+23.4759MDH=7.5865 Tn*mMFG=3516.043x(2xF+G)-23.4759MGF=3516.043x(2xG+F)+23.4759MGH=3516.043x(2xG+H)-23.4759MHG=3516.043x(2xH+G)+23.4759



CROSS4.506Tn/mPRIMER PISOSEGUNDO PISO 4) PRIMER CROSS DE CARGAS:7) SEGUNDO CROSS DE CARGAS:10) TERCER CROSS DE CARGAS:Columnas:15) CALCULO LAS FUERZAS CORTANTES :DIAGRAMA DE MOMENTO FLECTORDIAGRAMA DE FUERZA CORTANTE10 TnH2CARGA MUERTA :3.03953.0395Tn/mMAE=(5.138)+(0.076)*(8.659)+(-0.707)*(5.712)=1.758064Tn*m4.5064.5064.50636912CARGA VIVA :2.1000.565Tn/mMEA=(5.547)+(0.193)*(8.659)+(-0.699)*(5.712)=3.220892Tn*m-1.76-18.65-12.70-16.59-13.04-9.17-18.65-16.5914.1635066745CARGA SISMO :7.00010.000Tn/m0.250.750.4290.1430.4290.4290.1430.4290.750.250.250.750.4290.1430.4290.4290.1430.4290.750.250.250.750.4290.1430.4290.4290.1430.4290.750.25MBF=(-1.177)+(0.034)*(8.659)+(-0.888)*(5.712)=-5.951534Tn*mA6BB6CC6D-12.70-13.0410.702645442412.87020556183mCARGA ULTIMA :6.4244.506Tn/m0-13.51813.5180-13.51813.5180-13.51813.51800000000000-100-100-100-1MFB=(-1.156)+(0.065)*(8.659)+(-0.903)*(5.712)=-5.753478Tn*m10.702645442410.952391370916.333354557612.87020556185.679484411514.165794438214.16350667459.22046248412.8724933255-1.76-9.176.424Tn/m1.985016000000-5.06925-10.1385-3.37950.103000000.06350000.1030.21450.4290.1430.4290.21450.06350.3750.750.25MCG=(1.253)+(0.035)*(8.659)+(-0.892)*(5.712)=-3.539995Tn*mERROR:#REF!-5.952-3.540-8.46-8.467 TnH11) GRADO DE HIPERGEOMETRA:2.8832468.6497384.324869-0.3781455481.0873541252.174708250.724902752.174708251.087354125-1.81097175-0.02575-0.07725-0.0386250.03175-0.01362075-0.0272415-0.0090805-0.0272415-0.013620750.0833270.1706250.5118750.25593750.027209750.07443150.1488630.0496210.1488630.07443150.070452MGC=(1.249)+(0.078)*(8.659)+(-0.884)*(5.712)=-3.125465Tn*mAERROR:#REF!B3.9016707854C2.22182001D5.536160898ERROR:#REF!-5.95-3.54ERROR:#REF!3.902.225.54258110-1.0798096403-2.1596192805-0.7198730935-2.1596192805-1.07980964030.394200255700000.00439633840.00879267680.00293089220.00879267680.0043963384-0.02164973760000-0.0767006419-0.1534012838-0.0511337612-0.1534012838-0.0767006419-0.020193635000MDH=(-5.329)+(0.088)*(8.659)+(-0.681)*(5.712)=-8.458689Tn*m10.95239137095.67948441159.22046248410mo GRADO (A ; B ; C; D ; E ; F ; G ; H y 1 ; 2)0.26995241010.80985723020.404928615100.1470632130.2941264260.0980421420.2941264260.147063213-0.1221275847-0.0010990846-0.0032972538-0.001648626900.00370085410.00740170830.00246723610.00740170830.00370085410.00670732740.01917516050.05752548140.028762740700.02078382240.04156764480.01385588160.04156764480.02078382240.0062562107MHD=(-5.573)+(0.18)*(8.659)+(-0.724)*(5.712)=-8.149793Tn*m3333-14.1657944382-12.87249332553.5m5.138-5.14-0.2368044942-0.0789348314-0.2368044942-0.11840224710.0201524669-0.0093508606-0.0187017212-0.00623390710.076-0.08-0.0008804055-0.0002934685-0.0008804055-0.0004402027-0.0013560806-0.0039030681-0.0078061361-0.0026020454-0.7070.71-0.0212554756-0.0070851585-0.0212554756-0.0106277378-0.0016317324-0.0101400124-0.0202800248-0.0067600083-16.332) RIGIDECES RELATIVAS Y COEFICIENTES DE DISTRIBUCIN:15.851-1.177-14.680.04616067490.01538689160.04616067490.0230803375-0.0059224102-0.0320.034-0.000.00244502180.00081500730.00244502180.00122251090.00055413410.539-0.8880.350.0096093780.0032031260.0096093780.0048046890.0008536691MEI=(3.392)+(-0.824)*(8.659)+(0.176)*(5.712)=-2.737994Tn*mTodos los elementos son empotrado empotrado, entonces: K = I/L14.8351.253-16.08-0.0128684455-0.0042894818-0.0130.035-0.02-0.0013324837-0.00044416120.327-0.8920.56-0.0042437686-0.0014145895MIE=(1.696)+(-0.912)*(8.659)+(0.088)*(5.712)=-5.698600Tn*mEERROR:#REF!F3.9016707854G2.22182001H5.536160898------------------ 6m ------------------------------------------ 6m --------------------------------------------------- 6m ---------------------------604.605-5.33-0.0180.090.825-0.68MFJ=(-0.649)+(-0.946)*(8.659)+(0.047)*(5.712)=-8.569590Tn*m-3.2215.7533.1258.1514710Nudo A:1/339913MJF=(-0.325)+(-0.973)*(8.659)+(0.023)*(5.712)=-8.614398Tn*m6.4246.4246.424-30.0-25.4513.9956007417.718.8KAE =1I/3=1I/3 ----2m.c.m.CAE =KAE/K=0.25MGK=(0.712)+(-0.931)*(8.659)+(0.071)*(5.712)=-6.940887Tn*m1.68-29.98-15.94-25.45-15.38-18.02-15.9-15.38COLUMNA:KAB =6I/1=1I/1 ----66CAB =KAB/K=0.75MKG=(0.356)+(-0.965)*(8.659)+(0.036)*(5.712)=-7.800047Tn*mE6FF6GG6H1.68-18.02K=8C=16MHL=(-3.313)+(-0.845)*(8.659)+(0.133)*(5.712)=-9.872587Tn*m13.9956007416.922269964224.5483992617.68697628788.407577408120.857023712218.832383577312.219511248319.7116164227-3.225.753.138.151606060110.2060.1760.6180.3820.1270.1090.3820.3820.1270.1090.3820.6180.1760.2060.2060.1760.6180.3820.1270.1090.3820.3820.1270.1090.3820.6180.1760.2060.2060.1760.6180.3820.1270.1090.3820.3820.1270.1090.3820.6180.1760.206MLH=(-1.657)+(-0.923)*(8.659)+(0.066)*(5.712)=-9.265897Tn*mERROR:#REF!-8.570-6.941-9.87ERROR:#REF!-8.578.4075774081-6.9-9.87I = (b*h^3)/12Nudo B:1/33991300-19.27219.27200-19.27219.27200-19.27219.272000-1000-1000-100-10-1000-1000-10000-1EERROR:#REF!F4.9097110159G4.211695338H5.468138107216.9212.22-19.71161642270.35I=0.001251KBF =1I/3=1I/3 ----2m.c.m.CBF =KBF/K=0.1433.9700323.39187211.9100965.9550480000000-1.689750.2060.1760.6180.30900.1910.3820.1270.1090.3820.19100.2060.1760.6180.3090.07150.1910.3820.1270.1090.3820.1910.12514) MOMENTOS FLECTORES FINALES:-20.86I=12.51x10^-4 m4KBA =6I/1=1I/1 ----66CBA =KBA/K=0.4291.441623-1.137414168-2.274828336-0.756291096-0.649100232-2.274828336-1.1374141680.362451375-5.43291525-10.8658305-3.094476-3.6219435-0.0128750.09550.1910.06350.05450.1910.0955-0.004540250.2499810.4999620.1423840.1666540.08531250.08184350.1636870.05441950.04670650.1636870.08184350.02481050.2113560.4227120.1203840.1409043.53.53.53.5KBC =6I/1=1I/1 ----6CBC =KBC/K=0.4290000-0.35993654681.18570470622.37140941240.78840051150.67665870672.37140941241.1857047062000000.0014654461-0.0651196832-0.1302393665-0.0432994752-0.0371625418-0.1302393665-0.065119683200000-0.0255668806-0.06073991-0.12147982-0.04038727-0.03466309-0.12147982-0.060739910Vigas:-24.55K=14C=10.1349762050000000.049021071-0.3663827542-0.7327655084-0.2086840283-0.2442551695-0.00054954230000000.0012336180.02012198210.04024396420.01146106430.01341465470.00958758020000000.00692794080.01876863220.03753726440.01069022420.0125124215MAB=-1.758064Tn*mMEF=1.676563Tn*m0.35Icolumna/Iviga =ERROR:#REF!1606060110000-0.03946741570.06061608150.1212321630.04030493380.03459242350.1212321630.0606160815-0.00311695350000-0.0001467342-0.0040789196-0.0081578393-0.0027121612-0.0023277604-0.0081578393-0.0040789196-0.00130102270000-0.0035425793-0.0049080454-0.0098160909-0.0032634648-0.0028009265-0.0098160909-0.0049080454-0.0033800041MBA=-18.650191Tn*mMFE=-29.981832Tn*mIERROR:#REF!J4.9097110159K4.211695338L5.4681381072Icolumna =1INudo C:1/3399135.5473.392-8.499000000.0076934458-0.0177672305-0.0355344611-0.0101198465-0.01184482040.193-0.8240.714000000.00040750360.00166240220.00332480440.00094686980.0011082681-0.6990.1760.700000000.0016015630.00256100730.00512201460.00145869670.0017073382MBC=-12.700697Tn*mMFG=-15.940892Tn*m5.6998.6147.8009.266VIGA:Iviga=6IKCG =1I/3=1I/3 ----2m.c.m.CCG =KCG/K=0.14322.952-1.156-0.649-20.3010.00384818580.00127937070.00109804250.00384818580.0019240929-0.00214474090.5000.065-0.9460.313-0.000790704-0.000262878-0.0002256197-0.000790704-0.000395352-0.00022208060.473-0.9030.0470.289-0.0015901019-0.0005286464-0.0004537202-0.0015901019-0.0007950509-0.0007072948MCB=-16.587463Tn*mMGF=-25.451034Tn*mKCB =ERROR:#REF!66CCB =KCB/K=0.42920.6311.2490.712-22.5930.00013636050.00003883410.00004545350.3380.078-0.9310.5150.00038157340.00010866810.00012719110.331-0.8840.0710.4820.00092844960.00026441280.0003094832MCD=-13.039294Tn*mMGH=-15.384682Tn*mKCD =ERROR:#REF!6CCD =KCD/K=0.4298.886-3.313-5.5730.665-0.8450.1800.5910.133-0.724MDC=-9.166253Tn*mMHG=-18.022380Tn*m5.708.617.89.27ERROR:#REF!4.9104.2116953385.47I = (b*h^3)/12K=14C=1KDH =ERROR:#REF!2m.c.m.CDH=KDH/K=0.25MEA=-3.220892Tn*mMIE=5.698600Tn*mKDC =6I/1=1I/1 ----66CDC =KDC/K=0.75000000000000MBF=-5.951534Tn*mMFJ=-8.569590Tn*mK=8C=10000-1-1-1-10000MFB=5.753478Tn*mMJF=8.614398Tn*m0.351606060111.695936-0.3245501160-1.5472380.0880.027250.05450.0711920.0880.023353250.05450.060192MCG=-3.539995Tn*mMGK=-6.940887Tn*m1/339913000.3383293533-0.104342014100-0.01858127090.005730532100-0.0173315450.0053451121MGC=3.125465Tn*mMKG=7.800047Tn*mNudo E:2/7271427000.0172962117-0.005059923300-0.00116388020.000473434900-0.00140046320.0007293484MDH=-8.458689Tn*mMHL=-9.872587Tn*mKEA =1I/3=1I/3 ----14m.c.m.CEA =KEA/K=0.2061.695936-0.3245501160.00054902130.000019417-0.912-0.97275-0.00011280990.00005433410.0880.02335325-0.00022686010.0001322064MHD=8.149793Tn*mMLH=9.265897Tn*mKE I =1I/3.5=2I/7 ----1242CE I =KE I /K=0.1760.3561745863-1.6566205204-0.965357961-0.92254969890.03554113170.0663986669KEF =6I/1=1I/1 ----42CEF=KEF/K=0.618K=68C=1160606011

1/339913Nudo F:2/72714275) CALCULO DE H1 y H2 :8) CALCULO DE H y H :11) CALCULO DE H y H :KFB =1I/3=1I/3 ----14m.c.m.CFB =KFB/K=0.1274.5064.5064.5064.5064.5064.5064.5064.5064.506KFJ =1I/3.5=2I/7 ----12CFJ =KFJ/K=0.10910H=9.984TnH = 0.249TnH = -2.126TnKFE =6I/1=1I/1 ----4242CFE =KFE/K=0.3823.562A6-0.778B60.834C-3.63D0.090A60.033B60.038C0.09D-0.469A6-0.597B6-0.592C-0.47DKFG =6I/1=1I/1 ----42CFG =KFG/K=0.382K=110C=15.138-1.1771.253-5.330.0760.0340.0350.09-0.707-0.888-0.892-0.68160606011A3.561615205B-0.7775495105C0.8339450713D-3.6340182882A0.0895754577B0.0330687119C0.0375074274D0.0891077552A-0.4687665864B-0.5970663766C-0.5918282457D-0.46808892471/339913Nudo G:2/7271427333333333333KGC =1I/3=1I/3 ----14m.c.m.CGC =KGC/K=0.127KGK =1I/3.5=2I/7 ----12CGK =KGK/K=0.109KGF =6I/1=1I/1 ----4242CGF=KGF/K=0.382E3.561615205F-0.7775495105G0.8339450713H-3.6340182882E0.0895754577F0.0330687119G0.0375074274H0.0891077552E-0.4687665864F-0.5970663766G-0.5918282457H-0.4680889247KGH =6I/1=1I/1 ----42CGH=KGH/K=0.3825.547-1.1561.249-5.570.1930.0650.0780.18-0.699-0.903-0.884-0.72K=110C=11606060116.4246.4246.4246.4246.4246.4246.4246.4246.4241/3399137H=7.0768131937TnH = -2.340TnH1 = 2.309TnNudo H:2/7271427-2.108E60.499F6-0.529G2.214H -0.586E6-0.581F6-0.579G-0.594H 0.544E60.617F60.622G0.525H KHD =1I/3=1I/3 ----14m.c.m.CHD=KAE/K=0.206KH L =1I/3.5=2I/7 ----1242CH L=KAE/K=0.1763.392-0.6490.712-3.31-0.824-0.946-0.931-0.850.1760.0470.0710.13KHG =6I/1=1I/1 ----42CHG =KAB/K=0.618E1.4536594286F-0.2781858137G0.3052925026H-1.419960446E-0.496F-0.5480714286G-0.5417353951H-0.505042599E0.0754285714F0.0200170714G0.0304638272H0.056913143K=68C=11606060113.53.53.53.53.53.53.53.53.53.53.53.5

3) MOMENTOS DE EMPOTRAMIENTO PERFECTO:I1.4536594286J-0.2781858137K0.3052925026L-1.419960446I-0.496J-0.5480714286K-0.5417353951L-0.505042599I0.0754285714J0.0200170714K0.0304638272L0.0569131431.696-0.3250.356-1.66-0.912-0.973-0.965-0.920.0880.0230.0360.07Mij ij Mji 6) 2do CROSS "Desplazamiento 1":9) 3er CROSS "Desplazamiento ":12) CALCULO DE X y X:ENTONCES:2222Primer Nivel:H+X*H+X*H =07.077 + -2.34X + 2.309X = 0X =8.6592063912TnMAB = MBC = MCD = -(WxL^2)/12 =-13.518Tn*mSegundo Nivel:H+X*H2+X*H =09.984 + 0.249X + -2.126X = 0X =5.7120451094TnMBA = MCB = MDC = (WxL^2)/12 =13.518Tn*m3333 13) CALCULO DE DE LOS MOMENTOS DE CROSS: Mij = Hij+X*Hij+X*HijMEF = MFG = MGH = -(WxL^2)/12 =-19.272Tn*mVigas:MFE = MGF = MHG = (WxL^2)/12 =19.272Tn*mMAB=(-5.138)+(-0.076)*(8.659)+(0.707)*(5.712)=-1.758064Tn*mMBA=(15.851)+(-0.032)*(8.659)+(0.539)*(5.712)=18.650191Tn*mMBC=(0)+(-0.002)*(8.659)+(0)*(5.712)=-12.700697Tn*m3.53.53.53.5MCB=(14.835)+(-0.013)*(8.659)+(0.327)*(5.712)=16.587463Tn*m MCD=(-16.082)+(-0.021)*(8.659)+(0.565)*(5.712)=-13.039294Tn*mMDC=(4.605)+(-0.018)*(8.659)+(0.825)*(5.712)=9.166253Tn*m

MEF=(-8.499)+(0.714)*(8.659)+(0.7)*(5.712)=1.676563Tn*mMFE=(22.952)+(0.5)*(8.659)+(0.473)*(5.712)=29.981832Tn*mMEE = 6EI/LMEA = 3EI/LMEE = 6EI/LMEA = 3EI/LMFG=(-20.301)+(0.313)*(8.659)+(0.289)*(5.712)=-15.940892Tn*mTodos son empotrado-empotrado, entonces:Todos son empotrado-empotrado, entonces:MGF=(20.631)+(0.338)*(8.659)+(0.331)*(5.712)=25.451034Tn*mMEI = MFJ = MGK = MHL = 6EI/L =-6EI/12.25m.c.m.~-1MAE = MBF = MCG = MDH = 6EI/L =-6EI/9m.c.m.~-1MGH=(-22.593)+(0.515)*(8.659)+(0.482)*(5.712)=-15.384682Tn*mMIE = MJF = MKG = MLH = 6EI/L =-6EI/12.2512.25/6EI~-1MEA = MFB = MGC = MHD = 6EI/L =-6EI/90/6EI~-1MHG=(8.886)+(0.665)*(8.659)+(0.591)*(5.712)=18.022380Tn*m



123654789121110123654789121110123647121110589

KANI2.736Tn/mPRIMER PISOSEGUNDO PISO 6) FACTORES DE CORRIMIENTOS EN LAS COLUMNAS: 8) MOMENTOS CON SIGNO DE KANI: 8) MOMENTOS FLECTORES: 9) CALCULO LAS FUERZAS CORTANTES :DIAGRAMA DE MOMENTO FLECTORDIAGRAMA DE FUERZA CORTANTE-10 TnCARGA MUERTA :3.03953.0395Tn/mVigas :Vigas :2.7362.7362.73636912CARGA SISMO :-7.000-10.000Tn/mSegundo NivelMAB =-8.21 + 2*(1.687) + (-1.441) + (0) =-6.2745621539Tn*mSegundo NivelMAB =-6.27456Tn*m=-6274.562Kg*m-6.27-7.01-10.94-7.06-12.380.5910.3698445667CARGA ULTIMA :2.7362.736Tn/m1er PisotEI = tFJ = tGK = tHL =-(3/2)*(6/24) =-0.375-8.208-0.3750-0.21430-0.2143-0.21430-0.2143-0.37508.208MBA=8.21 + 2*(-1.441) + (1.687) + (0) =7.0128510859Tn*mMBA=-7.01285Tn*m=-7012.851Kg*mA6BB6CC6D-10.94-12.388.08495184478.85453758123m2do PisotAE = tBF = tCG = tDH =-(3/2)*(7/28) =-0.375-0.1250-8.2088.208-0.0714-8.2088.208-0.0714-8.2088.208-0.1250MBC =-8.21 + 2*(-1.441) + (0.148) + (0) =-10.9423203872Tn*mMBC =-10.94232Tn*m=-10942.320Kg*m8.08495184475.6710603488.33104815538.85453758123.3856832277.561462418810.36984456677.26810306666.0461554333-6.27-7.01-7.060.592.736Tn/m1) GRADO DE HIPERGEOMETRA:02.7611470588-0.55710859430-0.55710859430.112781492300.1127814923-2.79987378990MCB=8.21 + 2*(0.148) + (-1.441) + (0) =7.0630948999Tn*mMCB=-7.06309Tn*m=-7063.095Kg*m6.273.9295.3200.596.30.6-7 Tn7) PROCESO DE DISTRIBUCIN: 0.92038235291.9762934095-1.1370339587-0.1857028648-1.13703395870.10970935410.03759383080.1097093541-3.8996534742-0.9332912633MCD =-8.21 + 2*(0.148) + (-4.472) + (0) =-12.383519071Tn*mMCD =-12.38352Tn*m=-12383.519Kg*mA-3.8443040368B-2.5420881935C-3.4032384683D-0.21036930143.935.32-3.84-2.54-3.40-0.21258118vo GRADO (A ; B ; C; D ; E ; F ; G ; H )Primera Iteracin:M"CS < > M"AE0.65876446981.6719749059-1.3771986779M"BF-0.3790113196-1.37719867790.0761809475M"CE0.03656978470.0761809475-4.3535689282M"DH-1.2998844914MDC=8.21 + 2*(-4.472) + (0.148) + (0) =-0.587548329Tn*mMDC=0.58755Tn*m=587.548Kg*m5.6710603483.3856832277.2681030666Nudo E:Nudo A:3.86290.55732496861.67440256-1.41910948063.8629-0.459066226-1.41910948060.124179693.86290.02539364920.12417969-4.45354443893.8629-1.4511896427Primer NivelMEF =-8.21 + 2*(-1.361) + (-2.139) + (0) =-13.0697249138Tn*mPrimer NivelMEF =-13.06972Tn*m=-13069.725Kg*m3333-7.5614624188-6.04615543333.5m2) RIGIDECES:-8.208x(-0.309) = 2.5348235294-7.3630588235x(-0.375) = 2.76114705885.33130.55813418671.6799593191-1.43445886325.3312805081-0.4730364935-1.43445886320.14288116135.33128050810.041393230.1428811613-4.46934863575.3312805081-1.484514813MFE=8.21 + 2*(-2.139) + (-1.361) + (0) =2.5682143165Tn*mMFE=-2.56821Tn*m=-2568.214Kg*m-8.3310481553MEE = I/LMEA = (3/4)(I/L)x(-0.103) = 0.8449411765x(-0.125) = 0.92038235295.57790.55998643971.6844554374-1.43963847655.577864342-0.4781529544-1.43963847650.14703764515.5778643420.04762705380.1470376451-4.47168687995.577864342-1.4897828786MFG =-8.21 + 2*(-2.139) + (-1.145) + (0) =-13.631810916Tn*mMFG =-13.63181Tn*m=-13631.811Kg*mK DE VIGAS:x(-0.088) = 0.72423529415.60260.5614851458 M'EA1.686529883-1.44089604925.6026187508-0.4798794922 M'FB-1.44089604920.1479479565.60261875080.0490125484 M'GC0.147947956-4.47190966055.6026187508-1.4905622933 M'HDMGF=8.21 + 2*(-1.145) + (-2.139) + (0) =3.7782246211Tn*mMGF=-3.77822Tn*m=-3778.225Kg*mE-3.8443040368F-2.5420881935G-3.4032384683H-0.2103693014------------------ 6m ------------------------------------------ 6m --------------------------------------------------- 6m ---------------------------KAB = KBC = KCD = Iij/L =6I/6=1I/1m.c.m.=21215.604363979-0.3750.5621766277-0.45374046051.687156999-1.44117249295.604363979-0.375-0.4802986831-0.7130940503-1.44117249290.14813838735.604363979-0.3750.0493159853-0.38174887130.1481383873-4.47187924015.604363979-0.375-1.4906365535-2.0346082855MGH =-8.21 + 2*(-1.145) + (-6.104) + (0) =-16.6023180843Tn*mMGH =-16.60232Tn*m=-16602.318Kg*m-5.258-3.697-4.889-0.0411.832535735214710KEF = KFG = KGH = Iij/L =6I/6=1I/121Nudo F:Nudo B:5.6038402060.5623856663-0.45372709991.6873091626-1.44123304575.603840206-0.480390831-0.7131018293-1.44123304570.14816748565.6038402060.0493794624-0.38174447280.1481674856-4.47186227315.603840206-1.4906264134-2.0346099165MHG=8.21 + 2*(-6.104) + (-1.145) + (0) =-5.1448963268Tn*mMHG=5.14490Tn*m=5144.896Kg*m2.7362.7362.736-13.639.95825176629.85026438252.5348235294x(-0.191) = -0.48392085562.599840107x(-0.214) = -0.55710859435.60349763170.5624363875-0.45368691331.6873415355-1.44124522485.6034976317-0.4804110152-0.7131309531-1.44124522480.14817006235.60349763170.0493891619-0.38172795250.1481700623-4.47185919575.6034976317-1.4906207577-2.0346247122-13.07-2.57-13.63-3.78-16.605.14-13.07-16.60COLUMNA:K DE COLUMNAS:x(-0.191) = -0.4839208556x(-0.214) = -0.55710859435.60340.5624471785-0.4536147508 M'AB M'BA5.6034-0.4804150749-0.7132261712 M'BC M'CB5.60340849250.0493900208-0.3816810717 M'CD M'DC5.6034084925-1.4906197319-2.034695734Columnass :Columnass :E6FF6GG6H-2.57-3.785.14KAE = KBF = KCG = KDH = Iij/L =1I/3=1I/37x(-0.064) = -0.1613069519x(-0.071) = -0.18570286485.6034 M'AE-0.45378628215.6034 M'BF-0.71338768755.6033960783 M'CG-0.3815525445.6033960783 M'DH-2.0349032778Segundo NivelMEA =0 + 2*(-0.4537404605) + (0.562) + (5.6033959782) =5.258Tn*mSegundo NivelMEA =-5.25836Tn*m=-5258.362Kg*m9.95825176625.05285882876.45774823389.85026438254.09986094166.565735617511.83253573528.9841040514.5834642648-5.26-3.70-4.9-0.0KEI = KFJ = KGK = KHL = Iij/L =1I/3.5=2I/76x(-0.055) = -0.13826310165.6033959782-0.45540078795.6033959782-0.71261639815.6033959782-0.38139420155.6033959782-2.0352368836MAE=0 + 2*(0.5624471785) + (-0.454) + (5.6033959782) =6.275Tn*mMAE=6.27455Tn*m=6274.550Kg*m7.817.3677.9355.107.817.374.09986094167.95.1I = (b*h^3)/12 M"AE-0.4577391576 M"BF-0.70593694 M"CG-0.3846911532 M"DH-2.0339255282MFB =0 + 2*(-0.7130940503) + (-0.480) + (5.6033959782) =3.697Tn*mMFB =-3.69679Tn*m=-3696.793Kg*mE-4.5747769068F-4.3842314122G-4.6276686866H-3.41332299455.058.98-4.58346426480.35I=0.0012513) FACTORES DE GIRO:Nudo G:Nudo C:-0.4448462984-0.6860376046-0.4099394445-2.0059443137MBF=0 + 2*(-0.4804150749) + (-0.713) + (5.6033959782) =3.929Tn*mMBF=3.92947Tn*m=3929.472Kg*m-6.4577482338-6.5657356175I=12.51x10^-4 m4Nudo A:-0.4839208556x(-0.191) = 0.0923848906-0.5263136308x(-0.214) = 0.1127814923-0.3678972176-0.6458064812-0.4379592902-1.7815234762MGC =0 + 2*(-0.3817488713) + (0.049) + (5.6033959782) =4.889Tn*mMGC =-4.88929Tn*m=-4889.288Kg*m3.53.53.53.5A =2(KAB+KAE) =56x(-0.191) = 0.0923848906x(-0.214) = 0.11278149230.8449411765-0.16130695190.0307949635-0.8544513858MCG=0 + 2*(0.0493900208) + (-0.382) + (5.6033959782) =5.320Tn*mMCG=5.32043Tn*m=5320.427Kg*mx(-0.064) = 0.0307949635x(-0.071) = 0.03759383080000MHD =0 + 2*(-2.0346082855) + (-1.491) + (5.6033959782) =0.044Tn*mMHD =-0.04356Tn*m=-43.560Kg*m0.35Icolumna/Iviga =1/4AB = -KAB/A =-0.3750x(-0.055) = 0.026395683-0.1029-0.0636-0.0636-0.1029MDH=0 + 2*(-1.4906197319) + (-2.035) + (5.6033959782) =0.588Tn*mMDH=0.58755Tn*m=587.548Kg*mI-4.5747769068J-4.3842314122K-4.6276686866L-3.4133229945Icolumna =1IAE = -KAE/A =-0.1250-8.208-0.3088-0.19090-0.1909-10-0.19090-0.1909-0.30888.208Primer NivelMIE =0 + 2*(0.000) + (-0.389) + (8.59) =8.200Tn*mPrimer NivelMIE =-8.20032Tn*m=-8200.320Kg*m-8.200-7.978-8.262-6.845VIGA:Iviga=6I = -0.500Nudo H:Nudo D:-0.0882-8.2088.208-0.0545-8.2088.208-0.0545-8.2088.208-0.0882MEI=0 + 2*(-0.389) + (0.000) + (8.59) =7.811Tn*mMEI=7.81140Tn*m=7811.399Kg*mNudo B:8.3003848906x(-0.309) = -2.56335415747.4663301065x(-0.375) = -2.799873789902.5348235294-0.48392085560-0.48392085560.092384890600.0923848906-2.56335415740MJF =0 + 2*(0.000) + (-0.611) + (8.59) =7.978Tn*mMJF =-7.97802Tn*m=-7978.017Kg*mB =2(KBA+KBC+KBF) =98x(-0.103) = -0.8544513858x(-0.125) = -0.93329126330.7242352941-1.1036916529-1.9374194435-0.1382631016-1.9374194435-1.31387787070.026395683-1.3138778707-5.3445704285-0.7323869021MFJ=0 + 2*(-0.611) + (0.000) + (8.59) =7.367Tn*mMFJ=7.36679Tn*m=7366.793Kg*m-8.20-7.98-8.26-6.85-4.57-4.38-4.63-3.41I = (b*h^3)/12x(-0.088) = -0.7323869021M"CI < > M"EI-0.3153404723-1.3345388951-2.0581128138M"FJ-0.5535484124-2.0581128138-1.2298183336M"GK-0.3753936774-1.2298183336-6.017832941M"HL-1.5270201224MKG=0 + 2*(0.000) + (-0.327) + (8.59) =8.262Tn*mMKG=-8.26203Tn*m=-8262.027Kg*mI=0.004853BA = -KBA/B =-0.21437.482507135-0.3812968272-1.3732174727-2.11781082017.4825-0.5880322325-2.1178108201-1.15407345957.4825-0.3513766668-1.1540734595-6.10177658457.4825-1.7193808403MGK =0 + 2*(-0.327) + (0.000) + (8.59) =7.935Tn*mMGK =7.93481Tn*m=7934.814Kg*m0.55I=48.53x10^-4 m4BC = -KBC/B =-0.2143M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+0.724+-0.138+0.026+-0.732) =7.48258.4767-0.3923478494-1.3662023636-2.13784919438.4767385067-0.6050888058-2.1378491943-1.14418260458.4767385067-0.3297352741-1.1441826045-6.10571065088.4767385067-1.7433647384MLH=0 + 2*(0.000) + (-1.744) + (8.59) =6.845Tn*mMLH=-6.84529Tn*m=-6845.290Kg*mBF = -KBF/B =-0.0714M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.92+0.845)+(-0.186+-0.161)+(0.038+0.031)+(-0.933+-0.854)) =3.86298.5775-0.3903435324-1.3613588462-2.14016306258.5775324625-0.6108140555-2.1401630625-1.14465763218.5775324625-0.3269093156-1.1446576321-6.10470983338.5775324625-1.7444887574MHL=0 + 2*(-1.744) + (0.000) + (8.59) =5.101Tn*mMHL=5.10134Tn*m=5101.340Kg*m = -0.5008.5890-0.3889596703-1.3608442524-2.13967851378.5889512504-0.6114751607-2.1396785137-1.1450432158.5889512504-0.3270450378-1.145043215-6.10408720218.5889512504-1.7442028095Nudo C:Segunda Iteracin:8.5897-0.375-0.3888126436-1.36106074-2.13939285948.5897083729-0.375-0.6113367182-2.1393928594-1.14518385758.5897083729-0.375-0.3271552043-1.1451838575-6.10387413678.5897083729-0.375-1.74402491490.35C =2(KCB+KCD+KCG) =98Nudo E:Nudo A:8.5894-0.3888744972-1.3611812996-2.1393054888.5893810044-0.6112551027-2.139305488-1.14523341848.5893810044-0.3271953879-1.1452334184-6.10382974948.5893810044-1.74396403913.5739x(-0.309) = -1.1036916529-5.2701x(-0.375) = 1.97629340958.5892-0.3889089428-1.3612213814-2.1392821518.5892485553-0.6112301394-2.139282151-1.14524661398.5892485553-0.3272095481-1.1452466139-6.10382485658.5892485553-1.743951357CB = -KCB/C =-0.2143x(-0.103) = -0.3678972176x(-0.125) = 0.65876446988.5892-0.3889203947 M'EF M'FE8.589233385-0.6112234717 M'FG M'GF8.589233385-0.3272133183 M'GH M'HG8.589233385-1.743949959160606011CD = -KCD/C =-0.2143x(-0.088) = -0.31534047238.5892 M'EI8.5892374952 M'FJ8.5892374952 M'GK8.5892374952 M'HL1/33991321CG = -KCG/C =-0.07148.58928.58924017898.58924017898.58924017892/7271427 = -0.500Nudo F:Nudo B: M"EI M"FJ M"GK M"HLNudo D:10.1484x(-0.191) = -1.93741944355.3062x(-0.214) = -1.1370339587D =2(KDC+KDH) =56x(-0.191) = -1.9374194435x(-0.214) = -1.1370339587x(-0.064) = -0.6458064812x(-0.071) = -0.3790113196DC = -KDC/D =-0.3750x(-0.055) = -0.5535484124DH = -KDH/D =-0.1250-19.833 = -0.500Nudo E:Nudo G:Nudo C:E =2(KEF+KEA+KEI) =686.8822x(-0.191) = -1.3138778707-0.5120x(-0.214) = 0.1097093541x(-0.191) = -1.3138778707x(-0.214) = 0.1097093541EF = -KEF/E =-0.3088x(-0.064) = -0.4379592902x(-0.071) = 0.0365697847EA = -KEA/E =-0.1029x(-0.055) = -0.3753936774EI = -KEI/E =-0.0882 = -0.500Nudo H:Nudo D:Nudo F:17.3062x(-0.309) = -5.344570428510.3991x(-0.375) = -3.8996534742F =2(KFE+KFG+KFB+KFJ) =110x(-0.103) = -1.7815234762x(-0.125) = -1.2998844914x(-0.088) = -1.5270201224FE = -KFE/F =-0.1909FG = -KFG/F =-0.1909M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.315+-0.554+-0.375+-1.527) =8.4767FB = -KFB/F =-0.0636M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.659+-0.368)+(-0.379+-0.646)+(0.037+-0.438)+(-1.3+-1.782)) =5.3313FJ= -KFJ/F =-0.0545 = -0.500Tercera Iteracin:Nudo G:Nudo E:Nudo A:G =2(KGF+KGH+KGC+KGK) =1104.3214x(-0.309) = -1.3345388951-4.4586x(-0.375) = 1.6719749059x(-0.103) = -0.4448462984x(-0.125) = 0.5573249686FE = -KFE/F =-0.1909x(-0.088) = -0.3812968272FG = -KFG/F =-0.1909FB = -KFB/F =-0.0636Nudo F:Nudo B:FJ= -KFJ/F =-0.054510.7806x(-0.191) = -2.05811281386.4269x(-0.214) = -1.3771986779 = -0.500x(-0.191) = -2.0581128138x(-0.214) = -1.3771986779Nudo H:x(-0.064) = -0.6860376046x(-0.071) = -0.459066226H =2(KHG+KHD+KHL) =68x(-0.055) = -0.5880322325

HG = -KHG/H =-0.3088Nudo G:Nudo C:HD = -KHD/H =-0.10296.4419x(-0.191) = -1.2298183336-0.3555x(-0.214) = 0.0761809475HL= -KHL/H =-0.0882x(-0.191) = -1.2298183336x(-0.214) = 0.0761809475 = -0.500x(-0.064) = -0.4099394445x(-0.071) = 0.0253936492x(-0.055) = -0.35137666684) MOMENTOS DE EMPOTRAMIENTO PERFECTO:Nudo H:Nudo D:19.4863x(-0.309) = -6.01783294111.6095x(-0.375) = -4.3535689282 Mij ij Mji x(-0.103) = -2.0059443137x(-0.125) = -1.4511896427x(-0.088) = -1.7193808403ENTONCES:MAB = MBC = MCD = -(WxL^2)/12 =-8.208Tn*mM"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.381+-0.588+-0.351+-1.719) =8.5775MBA = MCB = MDC = (WxL^2)/12 =8.208Tn*mM"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.557+-0.445)+(-0.459+-0.686)+(0.025+-0.41)+(-1.451+-2.006)) =5.5779

MEF = MFG = MGH = -(WxL^2)/12 =-8.208Tn*mCuarta Iteracin:MFE = MGF = MHG = (WxL^2)/12 =8.208Tn*mNudo E:Nudo A:4.4466x(-0.309) = -1.3732174727-4.4651x(-0.375) = 1.674402565) MOMENTOS DE PISO: MPi = (Vi*hi)/3x(-0.103) = -0.4577391576x(-0.125) = 0.5581341867x(-0.088) = -0.39234784941er PisoMP1 =MP1 = (V1*h1)/3=-19.8333333333Tn*m2do PisoMP2 =MPi = (V2*h2)/3=-10Tn*mNudo F:Nudo B:11.0933x(-0.191) = -2.11781082016.6225x(-0.214) = -1.4191094806x(-0.191) = -2.1178108201x(-0.214) = -1.4191094806x(-0.064) = -0.70593694x(-0.071) = -0.4730364935x(-0.055) = -0.6050888058Nudo G:Nudo C:6.0451x(-0.191) = -1.1540734595-0.5795x(-0.214) = 0.12417969x(-0.191) = -1.1540734595x(-0.214) = 0.12417969x(-0.064) = -0.3846911532x(-0.071) = 0.04139323x(-0.055) = -0.3297352741Nudo H:Nudo D:19.7581x(-0.309) = -6.101776584511.8761x(-0.375) = -4.4535444389x(-0.103) = -2.0339255282x(-0.125) = -1.484514813x(-0.088) = -1.7433647384

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.392+-0.605+-0.33+-1.743) =8.5890M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.558+-0.458)+(-0.473+-0.706)+(0.041+-0.385)+(-1.485+-2.034)) =5.6026Quinta Iteracin:Nudo E:Nudo A:4.4239x(-0.309) = -1.3662023636-4.4799x(-0.375) = 1.6799593191x(-0.103) = -0.4554007879x(-0.125) = 0.5599864397x(-0.088) = -0.3903435324Nudo F:Nudo B:11.1983x(-0.191) = -2.13784919436.6941x(-0.214) = -1.4344588632x(-0.191) = -2.1378491943x(-0.214) = -1.4344588632x(-0.064) = -0.7126163981x(-0.071) = -0.4781529544x(-0.055) = -0.6108140555Nudo G:Nudo C:5.9933x(-0.191) = -1.1441826045-0.6668x(-0.214) = 0.1428811613x(-0.191) = -1.1441826045x(-0.214) = 0.1428811613x(-0.064) = -0.3813942015x(-0.071) = 0.0476270538x(-0.055) = -0.3269093156Nudo H:Nudo D:19.7709x(-0.309) = -6.105710650811.9183x(-0.375) = -4.4693486357x(-0.103) = -2.0352368836x(-0.125) = -1.4897828786x(-0.088) = -1.7444887574

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.39+-0.611+-0.327+-1.744) =8.5897M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.56+-0.455)+(-0.478+-0.713)+(0.048+-0.381)+(-1.49+-2.035)) =5.6044Sexta Iteracin:Nudo E:Nudo A:4.4082x(-0.309) = -1.3613588462-4.4919x(-0.375) = 1.6844554374x(-0.103) = -0.4537862821x(-0.125) = 0.5614851458x(-0.088) = -0.3889596703Nudo F:Nudo B:11.2104x(-0.191) = -2.14016306256.7183x(-0.214) = -1.4396384765x(-0.191) = -2.1401630625x(-0.214) = -1.4396384765x(-0.064) = -0.7133876875x(-0.071) = -0.4798794922x(-0.055) = -0.6114751607Nudo G:Nudo C:5.9958x(-0.191) = -1.1446576321-0.6862x(-0.214) = 0.1470376451x(-0.191) = -1.1446576321x(-0.214) = 0.1470376451x(-0.064) = -0.381552544x(-0.071) = 0.0490125484x(-0.055) = -0.3270450378Nudo H:Nudo D:19.7676x(-0.309) = -6.104709833311.9245x(-0.375) = -4.4716868799x(-0.103) = -2.0349032778x(-0.125) = -1.4905622933x(-0.088) = -1.7442028095

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.389+-0.611+-0.327+-1.744) =8.5894M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.561+-0.454)+(-0.48+-0.713)+(0.049+-0.382)+(-1.491+-2.035)) =5.6038Septima Iteracin:Nudo E:Nudo A:4.4065x(-0.309) = -1.3608442524-4.4974x(-0.375) = 1.686529883x(-0.103) = -0.4536147508x(-0.125) = 0.5621766277x(-0.088) = -0.3888126436Nudo F:Nudo B:11.2078x(-0.191) = -2.13967851376.7242x(-0.214) = -1.4408960492x(-0.191) = -2.1396785137x(-0.214) = -1.4408960492x(-0.064) = -0.7132261712x(-0.071) = -0.4802986831x(-0.055) = -0.6113367182Nudo G:Nudo C:5.9978x(-0.191) = -1.145043215-0.6904x(-0.214) = 0.147947956x(-0.191) = -1.145043215x(-0.214) = 0.147947956x(-0.064) = -0.3816810717x(-0.071) = 0.0493159853x(-0.055) = -0.3271552043Nudo H:Nudo D:19.7656x(-0.309) = -6.104087202111.9251x(-0.375) = -4.4719096605x(-0.103) = -2.034695734x(-0.125) = -1.4906365535x(-0.088) = -1.7440249149

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.389+-0.611+-0.327+-1.744) =8.5892M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.562+-0.454)+(-0.48+-0.713)+(0.049+-0.382)+(-1.491+-2.035)) =5.6035Octava Iteracin:Nudo E:Nudo A:4.4072x(-0.309) = -1.36106074-4.4991x(-0.375) = 1.687156999x(-0.103) = -0.4536869133x(-0.125) = 0.5623856663x(-0.088) = -0.3888744972Nudo F:Nudo B:11.2063x(-0.191) = -2.13939285946.7255x(-0.214) = -1.4411724929x(-0.191) = -2.1393928594x(-0.214) = -1.4411724929x(-0.064) = -0.7131309531x(-0.071) = -0.480390831x(-0.055) = -0.6112551027Nudo G:Nudo C:5.9986x(-0.191) = -1.1451838575-0.6913x(-0.214) = 0.1481383873x(-0.191) = -1.1451838575x(-0.214) = 0.1481383873x(-0.064) = -0.3817279525x(-0.071) = 0.0493794624x(-0.055) = -0.3271953879Nudo H:Nudo D:19.7649x(-0.309) = -6.103874136711.9250x(-0.375) = -4.4718792401x(-0.103) = -2.0346247122x(-0.125) = -1.4906264134x(-0.088) = -1.7439640391

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.389+-0.611+-0.327+-1.744) =8.5892M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.562+-0.454)+(-0.48+-0.713)+(0.049+-0.382)+(-1.491+-2.035)) =5.6034Novena Iteracin:Nudo E:Nudo A:4.4076x(-0.309) = -1.3611812996-4.4995x(-0.375) = 1.6873091626x(-0.103) = -0.4537270999x(-0.125) = 0.5624363875x(-0.088) = -0.3889089428Nudo F:Nudo B:11.2059x(-0.191) = -2.1393054886.7258x(-0.214) = -1.4412330457x(-0.191) = -2.139305488x(-0.214) = -1.4412330457x(-0.064) = -0.7131018293x(-0.071) = -0.4804110152x(-0.055) = -0.6112301394Nudo G:Nudo C:5.9988x(-0.191) = -1.1452334184-0.6914x(-0.214) = 0.1481674856x(-0.191) = -1.1452334184x(-0.214) = 0.1481674856x(-0.064) = -0.3817444728x(-0.071) = 0.0493891619x(-0.055) = -0.3272095481Nudo H:Nudo D:19.7648x(-0.309) = -6.103829749411.9250x(-0.375) = -4.4718622731x(-0.103) = -2.0346099165x(-0.125) = -1.4906207577x(-0.088) = -1.743951357

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.389+-0.611+-0.327+-1.744) =8.5892M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.562+-0.454)+(-0.48+-0.713)+(0.049+-0.382)+(-1.491+-2.035)) =5.6034Dcima Iteracin:Nudo E:Nudo A:4.4078x(-0.309) = -1.3612213814-4.4996x(-0.375) = 1.6873415355x(-0.103) = -0.4537404605x(-0.125) = 0.5624471785x(-0.088) = -0.3889203947

Nudo F:Nudo B:11.2058x(-0.191) = -2.1392821516.7258x(-0.214) = -1.4412452248x(-0.191) = -2.139282151x(-0.214) = -1.4412452248x(-0.064) = -0.7130940503x(-0.071) = -0.4804150749x(-0.055) = -0.6112234717

Nudo G:Nudo C:5.9989x(-0.191) = -1.1452466139-0.6915x(-0.214) = 0.1481700623x(-0.191) = -1.1452466139x(-0.214) = 0.1481700623x(-0.064) = -0.3817488713x(-0.071) = 0.0493900208x(-0.055) = -0.3272133183

Nudo H:Nudo D:19.7648x(-0.309) = -6.103824856511.9250x(-0.375) = -4.4718591957x(-0.103) = -2.0346082855x(-0.125) = -1.4906197319x(-0.088) = -1.743949959

M"EI = M"FJ = M"GK = M"HL = -0.375*(-19.833+-0.389+-0.611+-0.327+-1.744) =8.5892M"AE = M"BF = M"CG = M"DH = -0.375*(-10+(0.562+-0.454)+(-0.48+-0.713)+(0.049+-0.382)+(-1.491+-2.035)) =5.6034



123654791211108

DISEO POR FLEXIN, CORTE Y COLDISEO DE VIGAS DEL PRIMER NIVEL POR FLEXINV-17.01443.71.6720.7164As =2.836As =6.011M-14.778152.9514.86-22.66821N var=1N var=3b=35cm1.774.18Acero #=6Acero #=61 6/8''2 6/8''3 6/8''2 7/8''2 6/8''2 7/8''2 8/8''2 6/8''2 5/8''h=55cm5.6(pulg)=3/4(pulg)=3/4d=49cmAs =0.000As =2.886As =0.000V-18.54893.662.3418.5489N var=2N var=1N var=2Muen las caras-14.78-22.67-19.75-19.74-22.61-14.67M-19.74536311.17-19.74324Acero #=0Acero #=7Acero #=02.13.92(pulg)=0(pulg)=7/8(pulg)=05.7700002.159250.635.35As =6.011As =6.00514.8611.1714.86N var=2N var=22 6/8''1 7/8''2 6/8''1 3/8''2 6/8''2 5/8''V-20.71644.342.3317.0056Acero #=7Acero #[email protected];[email protected]; [email protected] a/[email protected];[email protected]; [email protected] a/[email protected];[email protected]; [email protected] a/eKu17.587909799526.976854881923.502112215123.490212411526.9054560617.4570119593M-22.61303314.86-14.66529(pulg)=7/8(pulg)=7/81.824.24As =0.000As =0.637As =0.0006.866186707900002.56946510380.4N var=2N var=1N var=217.683108228713.292080680717.6831082287Acero #=0Acero #=3Acero #=0(pulg)=0(pulg)=3/8(pulg)=0 0.00500.00800.00680.00680.00790.0049=0.9As =7.926As =2.768f'c=210N var=2N var=20.00190.00000.00000.00000.00000.0007fy=4200Acero #=8Acero #=50.00500.00370.0050a=49560(pulg)=1(pulg)=5/8b=3780As =0.000As =2.886As =0.000corregido0.00500.00800.00680.00680.00790.0049min=0.0033N var=2N var=2N var=2b=0.0213Acero #=0Acero #=5Acero #=00.00330.00330.00330.00330.00330.0033SISMICA(pulg)=0(pulg)=5/8(pulg)=00.00500.00370.0050max=0.0106RefuerzoAs (cm2)8.53713.66811.71211.70513.6278.469

5.6605.6605.6605.6605.6605.6608.5876.3388.587Acero continuo superior:Acero continuo inferior:As min=5.6595As=5.6595As min=5.6595As =5.6595As=3.4169010004N var=2As nudo=1.414875N var=2Acero #=6As medio=2.8621817749Acero #=6(pulg)=3/4(pulg)=3/4

Refuerzo adicional(cm2)2.8367.9676.0116.0057.9262.768

0.0000.0000.0000.0000.0000.0002.8860.6372.886Refuerzo# varilla2#6+1#62#6+3#62#6+2#72#6+2#72#6+2#82#6+2#5

2#62#62#62#62#62#62#6+1#72#6+1#32#6+2#5DISEO DE VIGAS DEL PRIMER NIVEL POR CORTEb=35cmh=55cmd=49cmVuen las caras20.7218.5517.014.333.663.673.73.664.34-17.01-18.55-20.72

Vu=20.72TnVu=18.55TnVu=20.72TnL=4.33mL=3.66mL=4.34mVud=18.3752424942TnVud=16.0665300546TnVud=18.3806451613TnVc=11.1961463594TnVc=11.1961463594TnVc=11.1961463594Tnx=1.9902647811mx=1.4509490202mx=1.9948612355mSmax(1/2)*dSmax(1/2)*dSmax(1/2)*d60 cm60 cm60 cm(Av*fy)/(3.5*b)(Av*fy)/(3.5*b)(Av*fy)/(3.5*b)Smax24.5cmSmax24.5cmSmax24.5cmSmax=20cmSmax=20cmSmax=20cmVs=12.42003TnVs=12.42003TnVs=12.42003TnX1=-0.6052337662mX1=-0.99957981mX1=-0.6066315347mZona de confinamiento:Zona de confinamiento:Zona de confinamiento:Z=98cmZ=98cmZ=98cmS=20cmS=20cmS=20cmSo (1/4)*dSo (1/4)*dSo (1/4)*d8*b8*b8*b30 cm30 cm30 cmSo 12.25cmSo 12.25cmSo 12.25cmSo =10cmSo =10cmSo [email protected];[email protected]; [email protected] a/[email protected];[email protected]; [email protected] a/[email protected];[email protected]; [email protected] a/eDISEO DE UNA COLUMNA INTERIR DEL PRIMER NIVEL:

AbajoArribaMayorb=35cmAg=1225cm2Vu=5.075.075.07D=35cmMu=8.77-8.978.97Vu/Ag =4.1387755102Kg/cm2Vu=5.07Mu/(Ag*D) =20.9212827988Kg/cm2Mu=8.97 =0.6571428571

Ya que es una columna interir se usar acero en las 4 caras:Usando la tabla de Diagrama de Interaccin para columnas L - 210 - 0.60 obtenemos: =0.03est entre el mnimo 1% y mximo 6% admisible.As =36.75cm2 136.75/5.07=7.252705262188 1''40.5365983278sobra-3.79 5/8-3.79/1.98=-1.9147931302-23293314.5298 1''

14.5-2 5/8''

314.514.5



SISTEMA DE ECUACIONESABCDEFGH0.0012591-0.00024030.0002656-0.00127910.0016965-0.00061290.0003558-0.0016282-2.3402.309-7.08110656.4383516.043001812.17600015.6515.65A0.00125910.57543334720.249-2.1264.9744865403-9.9823516.04317688.5243516.043001812.176000.000.00B-0.00024034.9744865403-2.3402.3090.5754333472303516.04317688.5243516.043001812.17600.000.00C0.0002656-4.39905319314003516.04310656.4380001812.176-15.65-15.65D-0.001279151812.17600013763.0243516.0430023.4823.48E0.0016965-7.082.309601812.176007032.08620795.113516.04300.000.00F-0.0006129-23.0487729345-9.98-2.12615.04353659047001812.176003516.04320795.113516.0430.000.00G0.000355815.0435365904-7.082.309-23.048772934580001812.176003516.04313763.024-23.48-23.48H-0.0016282-38.0923095249

ABCDEFGH0-2.34-7.08-1.76396187210.25-9.9823.363628405410656.4383516.043001812.176000=15.647423.3636284054-2.34-7.08-1.76396187213516.04317688.5243516.043001812.17600=0-25.127590277503516.04317688.5243516.043001812.1760=0003516.04310656.4380001812.176=-15.64741812.17600013763.0243516.04300=23.475901812.176007032.08620795.113516.0430=0001812.176003516.04320795.113516.043=00001812.176003516.04313763.024=-23.4759

10656.4383516.043001812.176000=15.6474016528.42168646443516.0430-597.91918646441812.17600=-5.162788094703516.04317688.5243516.043001812.1760=0003516.04310656.4380001812.176=-15.64740-597.91918646440013454.85518646443516.04300=20.814988094701812.176007032.08620795.113516.0430=0001812.176003516.04320795.113516.043=00001812.176003516.04313763.024=-23.4759

10656.4380-747.957585567501939.3696068678-385.49892182300=16.7456648728016528.42168646443516.0430-597.91918646441812.17600=-5.16278809470016940.56641443253516.043127.1936068678-385.4989218231812.1760=1.0982648728003516.04310656.4380001812.176=-15.647400127.1936068678013433.22533212473581.598854043700=20.628223132100-385.49892182307097.641854043720596.42304021213516.0430=0.5660480387001812.176003516.04320795.113516.043=00001812.176003516.04313763.024=-23.4759

10656.43800155.23985259381944.9854417086-402.519417817880.01094841960=16.7941553142016528.42168646440-729.7606275618-624.31843310891892.1869484196-376.12017117320=-5.39073481290016940.56641443253516.043127.1936068678-385.4989218231812.1760=1.09826487280009926.6773724382-26.399246644580.0109484196-376.12017117321812.176=-15.8753467182000-26.399246644513432.27033373613584.4932672003-13.60622756530=20.619977110900080.01094841967100.536267200320587.65064057143557.28081206980=0.5910401148000-376.1201711732-13.60622756533557.280812069820601.25686813673516.043=-0.11748422070001812.176003516.04313763.024=-23.4759

10656.4380001945.398290339-403.770681193585.8929608735-28.3399897628=17.0424243363016528.421686464400-626.25917622721898.0689608735-403.7706811935133.222290339=-6.5578124310016940.56641443250136.544256928-413.83891158591945.398290339-641.8752721086=6.72133486960009926.6773724382-26.399246644580.0109484196-376.12017117321812.176=-15.8753467182000013432.20012693913584.7060502577-14.60649067394.8193448213=20.577757828700007100.749050257720587.00573678073560.3124137312-14.6064906739=0.7189984940000-14.60649067393560.312413731220587.00573678073584.7060502577=-0.71899849400004.8193448213-14.60649067393584.706050257713432.2001269391=-20.5777578287

10656.4380000-922.947060017188.008432778-29.0379800464=14.0621281435016528.42168646440002065.2013023243-404.4516901667133.4469861363=-5.59840075270016940.566414432500-450.27903452271945.5467717789-641.9242628809=6.51215285730009926.6773724382087.0562230786-376.14887833561812.185471797=-15.8349038049000013432.20012693913584.7060502577-14.60649067394.8193448213=20.57775782870000018691.99986720833568.0339354328-17.1541714588=-10.1591519935000003564.210507490820586.98985333883584.7112909268=-0.696621755600000-15.89264888893584.711290926813432.1983978043=-20.5851409312

10656.43800000264.1857521737-29.8849943963=13.5605039443016528.42168646440000-798.6689158537135.3422791755=-4.47595831340016940.56641443250002031.4985632942-642.337496554=6.2674249960009926.677372438200-392.7666592281812.2653657296=-15.7875885145000013432.20012693910-698.87531834018.1091298979=22.52605516840000018691.99986720833568.0339354328-17.1541714588=-10.159151993500000019906.6333300083587.9822666701=1.24053620180000003587.744969022313432.1838126756=-20.5937786284

10656.438000000-77.5019760422=13.544040488016528.421686464400000279.2947928688=-4.42618707950016940.56641443250000-1008.4958870276=6.1408266170009926.67737243820001883.0578390166=-15.7631121879000013432.200126939100134.0747920592=22.56960749190000018691.99986720830-660.2585213999=-10.38150376900000019906.6333300083587.9822666701=1.2405362018000000012785.52673547=-20.8173587508

10656.4380000000=13.41785198810.0012591016528.4216864644000000=-3.9714400815-0.00024030016940.566414432500000=4.49879644380.00026560009926.67737243820000=-12.6971226988-0.0012791000013432.2001269391000=22.7879076920.00169650000018691.999867208300=-11.4565348407-0.000612900000019906.6333300080=7.08247885950.0003558000000012785.52673547=-20.8173587508-0.0016282

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