P“RTICO-METODO DE KANNI

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Inercia1000 kg/m

4.0 m4.0 m3000 kg/mCOLUMNASCOLUMNAS

4.0 m4.0 m

3000 kg/m

4.0 m*4.0 mExterioresExterioresPBIEXT=1PBKEXT=1=0.25048.0 mPPIEXT=1PPKEXT=1=0.2504PPIEXT=1PPKEXT=1=0.2504.0 mDEVIGASVIGAS0.250Para L=8.0 mPBIV==2PBKV=2=0.2500.2500.2508PPIV==2Para L=8.0 mFPPKV=2=0.250C0.250SPIV==28.0 mPara L=8.0 m0.2500.250PPKV=2=0.2508.0 mc) FACTORES DE GIRO:B0.250G

En el nudo B:K=0.250+0.250+0.250=0.750.2500.250

BA=-1*KBA=-1*0.250=-0.1672K20.75AH

BG=-1*KBG=-1*0.250=-0.1672K20.75

BC=-1*KBC=-1*0.250=-0.1672K20.75-0.50=

En el nudo G:K=0.25+0.25+0.25=0.75

GB=-1*KGB=-1*0.25=-0.1672K20.75

GF=-1*KGF=-1*0.25=-0.1672K20.75

GH=-1*KGH=-1*0.25=-0.1672K20.75-0.50=

En el nudo F:K=0.25+0.25+0.25=0.75

FG=-1*KFG=-1*0.25=-0.1672K20.75

FC=-1*KFC=-1*0.25=-0.1672K20.75

FE=-1*KFE=-1*0.25=-0.1672K20.75-0.50=

En el nudo C:K=0.25+0.250+0.250=0.75

CB=-1*KCB=-1*0.25=-0.172K20.75

CF=-1*KCF=-1*0.25=-0.172K20.75

cd=-1*KCD=-1*0.25=-0.172K20.75-0.50=En el nudo D:K=0.25+0.250=0.50

DC'=-1*KDC=-1*0.25=-0.252K20.50

DE=-1*KDE=-1*0.25=-0.252K20.50-0.50=En el nudo E:K=0.25+0.250=0.50

EF=-1*KEF=-1*0.25=-0.252K20.50

ED=-1*KED=-1*0.25=-0.252K20.50-0.50=Momentos de empotramientoCubiertaMDE.= -1000*8.0 m.= -1000*64.00=-5333.33 kg/m1212

MED.= +1000*8.0 m.= +1000*64=5333.33 kg/m1212EntrepisosMCF.= -3000*8.0 m.= -3000*64.00=-16000.00 kg/m1212

MFC.= +3000*8.0 m.= +3000*64=16000.00 kg/m1212

MBG.= -3000*8.0 m.= -3000*64.00=-16000.00 kg/m1212

MGB.= +3000*8.0 m.= +3000*64=16000.00 kg/m1212

MiK=0.000(ERROR:#REF!)=ERROR:#REF!MiK=0.000(ERROR:#REF!)=ERROR:#REF!

222222

Ciclos

12Mi-0.250-0.250Mi-5333.35333.3D687.074-967.288E-0.250-0.250687.074-967.288

2585.036-2151.2571-0.1672-0.167Mi-0.167-0.167Mi-16000.016000.0C2585.036-2151.26F-0.167-0.1672585.036-2151.26

2672.00-3118.223-0.1674-0.167Mi-0.167-0.167Mi-1600016000.0B2672.00-3118.224G-0.167-0.1672672.00-3118.22

AH

PRIMER CICLOMOMENTOS FINALES:NUDOSMOMENTOSBM'ik1=-0.167(-16000.00)=2672.00Para el nudo B:M'ik2=-0.167(-16000.00)=2672.00MBA=0+2*0.000+0+0.000=0.00000GM'ik1=-0.167(16000.00+2672.00)=-3118.22MBE=0+2*0.000+0.000+0=0.00000M'ik2=-0.167(16000.00+2672.00)=-3118.22MBC=0+2*0.000+0.000+0.000=0.000000.00000FM'ik1=-0.167(16000.00+-3118.2)=-2151.3Para el nudo C:xM'ik2=-0.167(16000.00+-3118.2)=-2151.3MCB=0+2*0.000+0.000+0.000=0.000MCD=0+2*0.000+0.000+0=0.000

CM'ik1=-0.167(-2151.26+2672.00+-16000)=2585.0Para el nudo D:M'ik2=-0.167(-2151.26+2672.00+-16000)=2585.0MDC=0+2*0.000+0.000+0.000=0.000MDE=0+2*0.000+0.000+0.000=0.000DM'ik1=-0.25(-5333.33+2585.04)=687.07MDI=0+2*0.000+0.000+0.000=0.000M'ik2=-0.25(-5333.33+2585.04)=687.07Para el nudo E:

EM'ik1=-0.25(5333.33+687.07+-2151.3)=-967.29MEB=0+2*0.000+0.000+0.000=0.000M'ik1=-0.25(5333.33+687.07+-2151.3)=-967.29MEF=0+2*0.000+0.000+0.000=0.000MEH=0+2*0.000+0.000+0.000=0.000MED=0+2*0.000+0.000+0.000=0.000

Para el nudo H:

MHG=0+2*0.000+0+0.000=0.000MHE=0+2*0.000+0.000+0=0.000MHI=0+2*0.000+0.000+0.000=0.000

Para el nudo I:MIH=0+2*0.000+0.000+0.000=0.000MID=0+2*0.000+0.000+0=0.000SEGUNDO CICLONUDOSMOMENTOSBM'ik1=-0.17(0.00+2672.00+0.00)=-446.22CORTANTE DE ENTREPISO: M'ik2=-0.17(0.00+2672.00+0.00)=-446.22PLANTA ALTA: T=0.0000.0000.0000.0000.0000.000=0.000GM'ik1=-0.17(0.00+-3118.22+0.00)=520.742.8M'ik2=-0.17(0.00+-3118.22+0.00)=520.74PLANTA BAJA: T=0.0000.0000.0000.0000.0000.000=0.000FM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.003.5M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

CM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

DM'ik1=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!M'ik2=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!M'ik3=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!

EM'ik1=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik2=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik3=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik4=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00

Momentos por desplazaminto

Planta altaM''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00M''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00Planta altaM''ik=0.00(12.05+0.00+0.00+0.00)=0.00M''ik=0.00(12.05+0.00+0.00+0.00)=0.00

TERCER CICLONUDOSMOMENTOSCM'ik1=-0.17(0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00)=0.00

IM'ik1=-0.17(0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00)=0.00

BM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

HM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

DM'ik1=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!M'ik2=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!M'ik3=0.00(0.00+0.00+0.00+ERROR:#REF!)=ERROR:#REF!

EM'ik1=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik2=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik3=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik4=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00

Momentos por desplazaminto

Planta altaM''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00M''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00Planta altaM''ik=0.00(12.05+0.00+0.00+0.00)=0.00M''ik=0.00(12.05+0.00+0.00+0.00)=0.00

CUARTO CICLONUDOSMOMENTOSCM'ik1=-0.17(0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00)=0.00

IM'ik1=-0.17(0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00)=0.00

BM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

HM'ik1=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik2=-0.17(0.00+0.00+0.00+0.00)=0.00M'ik3=-0.17(0.00+0.00+0.00+0.00)=0.00

DM'ik1=0.00(0.00+0.00+0.00+0.00)=0.00M'ik2=0.00(0.00+0.00+0.00+0.00)=0.00M'ik3=0.00(0.00+0.00+0.00+0.00)=0.00

EM'ik1=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik2=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik3=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00M'ik4=0.00(0.00+0.00+0.00+0.00+0.000.00=0.00

Momentos por desplazaminto

Planta altaM''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00M''ik=0.00(6.35+0.00+0.00+0.00+0.000.00+0.00+0.00)=0.00Planta altaM''ik=0.00(12.05+0.00+0.00+0.00)=0.00M''ik=0.00(12.05+0.00+0.00+0.00)=0.00

PORTICO 3 NIVELES

-5333.335333.33PROCESO DE ITIRACION M'ik=(Mi+M'ki)CORTANTE EN COLUMNAS688.26-968.35COLUMNAMF iMF jhV=MF i+MF jVIGAMFi MF j ( - )LRh=MR iR jRI=Ri RhR j= R j Rh (-)Xo=R jMmax=R j^2-MFX i=(2Mmax)^2949.13-952.10NUDOMOMENTOhLW2WW954.06-953.21BM'ik=-0.16667(-16000.00)=2666.72COLUMNACD5890.644378.1242567.19DE-4378.134378.138040004000400040004.003621.872.69954.61-954.86M'ik=-0.16667(-16000.00)=2666.72VIGAEF-5890.64-4378.124-2567.19CF-13532.2813532.2880120001200012000120004.0010467.722.64688.265890.64955.08-955.14-5890.64-968.35GM'ik=-0.16667(16000.00+2666.72)=-3111.18COLUMNACB7880.767641.9643880.68BG-13293.4813293.4880120001200012000120004.0010706.522.67949.132467.72955.18-955.19-2467.72-952.10M'ik=-0.16667(16000.00+2666.72)=-3111.18VIGAFG-7880.76-7641.964-3880.688954.062467.72955.20-955.20-2467.72-953.21FM'ik=-0.16667(16000.00-3111.18)=-2148.18COLUMNAAB2706.525413.0442029.89954.612467.72955.20-955.20-2467.72-954.86M'ik=-0.16667(16000.00-3111.18)=-2148.18VIGAGH-2706.52-5413.044-2029.89955.082467.75955.20-955.20-2467.76-955.14CM'ik=-0.16667(-16000.00+2666.72-2148.18)=2580.29COLUMNARIGIDICES:W=1000MOMENTOS DE EMPOTRAMIENTO955.182467.88-4378.134378.13-2467.86-955.19M'ik=-0.16667(-16000.00+2666.72-2148.18)=2580.29VIGAVIGAS:CUBIERTA:955.202468.09-2468.49-955.20DM'ik=-0.25000(-5333.33+2580.29)=688.26COLUMNADIAGRAMA DE CORTANTE EN COLUMNAS DIAGRAMA DE CORTANTE EN VIGASK=2=0.25MDE=-1000*8^2=-5333.33955.202469.20-2474.54-955.20M'ik=-0.25000(-5333.33+2580.29)=688.26VIGA812955.202505.15-2474.06-955.20EM'ik=-0.25000(5333.33+688.26-2148.18)=-968.35COLUMNA4378.122580.29-2148.18-4378.12M'ik=-0.25000(5333.33+688.26-2148.18)=-968.35VIGACOLUMNAS:MED=1000*8^2=5333.3312II CICLOK=1=0.25W=3000-16000.0016000.004ENTREPISOS:2580.29-2148.18BM'ik=-0.16667(-16000.00+2580.29-3111.18)=2755.20COLUMNA2505.15-2474.06M'ik=-0.16667(-16000.00+2580.29-3111.18)=2755.20VIGAFACTORES DE DISTRIBUCION:MCF=-3000*8^2=-16000.002469.2-2474.54GM'ik=-0.16667(16000.00+2755.20-2148.18)=-2767.89COLUMNA122580.297880.762468.09-2468.49-7880.76-2148.18M'ik=-0.16667(16000.00+2755.20-2148.18)=-2767.89VIGA=-1*K2505.152706.522467.88-2467.86-2706.52-2474.06FM'ik=-0.16667(16000.00+2580.29-2767.89-968.35)=-2474.06COLUMNA2KMFC=3000*8^2=16000.002469.202706.522467.75-2467.76-2706.52-2474.54M'ik=-0.16667(16000.00+2580.29-2767.89-968.35)=-2474.06VIGAW=3000122468.092706.512467.72-2467.72-2706.51-2468.49CM'ik=-0.16667(-16000.00-2474.06+2755.20+688.26)=2505.15COLUMNANUDOS DONCE CONCURREN TRES BARRAS (B-G-C-F)2467.882706.472467.72-2467.72-2706.49-2467.86M'ik=-0.16667(-16000.00-2474.06+2755.20+688.26)=2505.15VIGAK=0,25+0,25+0,25=0.752467.752706.262467.72-2467.72-2706.35-2467.76DM'ik=-0.25000(-5333.33+2505.15-968.35)=949.13COLUMNA2467.722706.21-13532.2813532.28-2705.33-2467.72M'ik=-0.25000(-5333.33+2505.15-968.35)=949.13VIGANUDO BNUDO GMBG=-3000*8^2=-16000.002467.722710.51-2706.13-2467.72EM'ik=-0.25000(5333.33-2474.06+949.13)=-952.1COLUMNABA=-1*0.25=-0.16667GH=-1*0.25=-0.16667122467.722755.20-2767.89-2467.72M'ik=-0.25000(5333.33-2474.06+949.13)=-952.1VIGA20.7520.757641.962666.72-3111.18-7641.96MGB=3000*8^2=16000.00III CICLOBC=-1*0.25=-0.16667GF=-1*0.25=-0.166671220.7520.75-16000.0016000.00BM'ik=-0.16667(-16000.00+2505.15-2767.89)=2710.51COLUMNA2666.72-3111.18M'ik=-0.16667(-16000.00+2505.15-2767.89)=2710.51VIGABG=-1*0.25=-0.16667GB=-1*0.25=-0.166672755.20-2767.89GM'ik=-0.16667(16000.00+2710.51-2474.06)=-2706.13COLUMNADIAGRAMA DE MOMENTOS EN COLUMNASDIAGRAMA DE MOMENTOS EN VIGAS20.7520.752710.51-2706.13M'ik=-0.16667(16000.00+2710.51-2474.06)=-2706.13VIGA2666.722706.21-2705.33-311