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A B C D E F G H I DATOS DE NUDOS Nudo Coordenadas Apoyo Asent. Giro Fuerza x y δ θ 1 0 0 0 No Hay 0 0 1000 2 2 0 1 Movil 0 0 0 3 10 0 1 Movil 0 0 0 4 13 0 1 Movil 0 0 0 5 17 0 0 No Hay 0 0 5000

Tres Momentos y Slope Dlefection

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Ecuación de los tres momentos para el calculo de fuerzas internas en vigas continuas hiperestaticas

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DE1ABCDEFGHIJ2LMNOPQRSTUVWXYZAAABACADDATOS DE NUDOS3DATOS DE ELEMENTOSCARGAS APLICADAS EN LOS ELEMENTOSNudoCoordenadasApoyoAsent.GiroFuerzaMomentos4ElementoNudosLongitudPropiedadesMomentoPuntualDistribuida Linealxy5InicialFinalEAIElem.aMElem.aPElem.abq1q21000No Hay001000061122111223000102400040002201Movil0000722381112670002084000400031001Movil0000833431113035000500041301Movil0000944541114045000500051700No Hay00500001011121314151617181920212223242526272829303132333435363738394041424344454647484950

Miso y FEMsCalculo de los FEMsCALCULO DE AREAS Y CENTROIDES DE MOMENTOS ISOSTATICOSCargas de MomentoCargas PuntualesCargas Distribuidas LinealesCargas de MomentoElementoAreaDiElementoAreaDiElementoAreaDi218000.0003.33318000.0001.000Labxmq1q2AL-a-xmAy(q2-q1)/b2420004.6672170666.6674.000808440004000320004160000311250.0001.500420000.0002.00002730666.6666666701280002858666.66666667

Met. Tres Momentos123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150Calculo de momentos isostaticos para cada tramo112345612345678910MNOPQRSTUVWXM3ELEMENTOMOMENTOPUNTUALDIST. LIENALTOTALEcuacionElementosNudosEcuacion FormuladaNudoPosicionSituacionVariablesCoeficientesAiDiAiDiAiDiiDidii-1ii+1Ci-1Mi-1CiMiCi+1Mi+11Ext. Izq.ConocidoM333M3ecuacionM3ConstantesVariablesValorBCalculo10.0000.0000.0000.0008000.0001.0008000.0001.0001.00012-32348x-10000+22xM3+3x-60000=-7377502IntermedioConocidoM33122-477750M3=-21715.9090909091-477750-21715.909090909120.0000.00060000.0004.267170666.6674.000230666.6674.0693.9313IntermedioDesconocidoM33-21715.909090909130.0000.0000.0000.00011250.0001.50011250.0001.5001.5004IntermedioConocidoM33-21715.909090909140.0000.0000.0000.00020000.0002.00020000.0002.0002.0005Ext. Der.ConocidoM33-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091-21715.9090909091