examen de analisis bruno

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Hoja1EXAMEN DE ANALISIS ESCTRUTURAL II ALEGRE HUAMANCHUMO ROBERTO201013024

unidades de longitud = munidades de fuerza =kgb (cm) =0.3h(cm) =0.6f`c=3 klb/pulg2210f`c=3 klb/pulg2f`c=3 klb/pulg2f`c=3 klb/pulg2Io =0.0054E=218819.788867E=218819.788867E=218819.788867E=218819.788867I=0.0108I=0.0081I=0.0135I=0.0162L=6L=8L=5L=10MEPi=-42MEPi=-117.187500MEPi=-41.6666666667MEPi=-250MEPj=42MEPj=70.312500MEPj=41.6666666667MEPj=25020kg3m5m20kg5m5m100 kg200 kg2 Io1.5 Io2.5 Io3 IoA BCDE6m8m5m10mK1 = 2EI/LK2 = 2EI/LK3= 2EI/LK4 = 2EI/Lmatriz de rigidezGiros2 MiembroMEC. PEND. DEFLEX.2EI/LMEP2K1K1 A-(MEPAB)AB2EI/L(2 A + B - 3) + MEP787.7512399229-42K12(K1 + K2)K2B -(MEPBA + MEPBC)BA2EI/L( A + 2B - 3) + MEP787.751239922942K22(K2 + K3)K3C-(MEPCB + MEPCD)BC2EI/L(2 B + C - 3) + MEP443.1100724566-117.1875K32(K3 + K4)K4D-(MEPDC + MEPDE)CB2EI/L( B + 2C - 3) + MEP443.110072456670.3125K42K4E-(MEPED)CD2EI/L( 2C+ D - 3) + MEP1181.6268598843-41.6666666667DC2EI/L( C+ 2D - 3) + MEP1181.626859884341.6666666667DE2EI/L( 2D+ E - 3) + MEP708.9761159306-250ED2EI/L( D+ 2E - 3) + MEP708.9761159306250matriz de rigidezGiros2 Miembro1575.502480787.751240000 A42787.75123992461.722625443.11007200B 75.1875000443.11007245663249.47386468181181.6268600C-28.645833001181.6268603781.205952708.9761159306D208.3333333333000708.97611593061417.952232E-250RESOLVIENDO EL SISTEMA DE ECUACIONES CON METODOS ITERATIVOS - METODOS DE SOBRERELAJACION =1.09

K A B C d eGiros000000 A0.00750310.0290570.023156- 0.0130510.064501-0.227332B 0.03831120.0138220.028947- 0.0383030.113759-0.233717C-0.05649730.0120370.034003- 0.0563050.116762-0.234780D0.11675640.0094430.037985- 0.0564680.116765-0.234685E-0.23468950.0075060.038334- 0.0565060.116758-0.23469060.0074900.038315- 0.0564970.116757-0.23468970.0075010.038311- 0.0564970.116756-0.234689matriz de momento ( debido a giros)M finales80.0075030.038311- 0.0564970.116756-0.2346891575.502480787.7512400000.000000AB90.0075030.038311- 0.0564970.116756-0.234689787.75123991575.502480000108.269567BA100.0075030.038311- 0.0564970.116756-0.2346890886.2201449132443.11007200-119.105685BC0443.1100724566886.22014491320037.220103CB00.0000002363.25371976861181.6268600-37.220103CD001181.6268602363.2537200.000000250.833731DC0001417.9522318611708.9761159306-250.833731DE000708.9761161417.952232-0.000000ED

Hoja2METODO DE CROSS20kg3m5m20kg5m5m100 kg200 kg2 Io1.5 Io2.5 Io3 IoA BCDE6m8m5m10mK1 = 2EI/LK2 = 2EI/LK3= 2EI/LK4 = 2EI/LCALCULO DEL FACTOR DE DISTRIBUCION:TRAMOILK=I/LFDAB0.01086m0.0018000.64BC0.00818m0.0010130.36

BC0.00818m0.0010130.273CD0.01355m0.0027000.727

CD0.01355m0.0027000.625DE0.016210m0.0016200.375CALCULOS DE LOS MEP:TRAMOWPabLMEPAB206-42.00BA20642.00

BC100358-117.19CB10035870.31

CD205-41.67DC20541.67

DE2005510-250.00ED2005510250.00

0.640.360.2730.7270.6250.375-42.0042.00-117.1970.31-41.6741.67-250.00250.0075.19-28.65208.3348.1227.0675-7.8125-20.833333130.20833378.12524.06-3.9062513.5337565.104167-10.41666739.06252.51.40625-21.4467045455-57.19121212126.51041666673.906251.25-10.72335227270.7031253.2552083333-28.59560606061.9531256.86294545453.8604068182-1.0795454545-2.878787878817.872253787910.72335227273.4314727273-0.53977272731.93020340918.9361268939-1.43939393945.36167613640.34545454550.1943181818-2.9635446281-7.90278567490.89962121210.53977272730.1727272727-1.4817723140.09715909090.4498106061-3.95139283750.26988636360.9483342810.5334380331-0.1491735537-0.39779614332.46962052341.4817723140.4741671405-0.07458677690.26671901651.2348102617-0.19889807160.7408861570.04773553720.0268512397-0.409507985-1.09202129330.12431129480.07458677690.0238677686-0.20475399250.01342561980.0621556474-0.54601064660.03729338840.13104255520.0737114373-0.0206130729-0.05496819430.34125665410.20475399250.0655212776-0.01030653640.03685571860.1706283271-0.02748409720.10237699620.00659618330.0037103531-0.0565865579-0.15089748780.01717756070.01030653640.0032980917-0.0282932790.00185517660.0085887804-0.07544874390.00515326820.01810769850.0101855804-0.0028483519-0.0075956050.04715546490.0282932790.0090538493-0.00142417590.00509279020.0235777325-0.00379780250.01414663950.00091147260.0005127033-0.0078192335-0.02085128920.00237362660.00142417590.0004557363-0.00390961670.00025635170.0011868133-0.01042564460.0007120880.00250215470.001407462-0.0003935904-0.00104957450.00651602790.00390961670.0012510774-0.00019679520.0007037310.0032580139-0.00052478730.00195480840.0001260.000071-0.001080-0.0028810.0003280.0001970.000063-0.0005400.0000350.000164-0.0014410.0000980.00034575230.0001944857-0.000054-0.0001450.0009000.0005400.000173-0.0000270.0000970.000450-0.0000730.0002700.0000170.000010-0.000149-0.0003980.0000450.0000270.000009-0.0000750.0000050.000023-0.0001990.0000140.0000480.000027-0.000008-0.0000200.0001240.0000750.000024-0.0000040.0000130.000062-0.0000100.0000370.0000020.000001-0.000021-0.0000550.0000060.0000040.000001-0.0000100.0000010.000003-0.0000280.0000020.0000070.000004-0.000001-0.0000030.0000170.0000100.000003-0.0000010.0000020.000009-0.0000010.0000050.0000000.000000-0.000003-0.0000080.0000010.000001-12.51100.98-100.9852.95-52.95154.90-154.90297.55

cross como el profeMETODO DE CROSS20kg3m5m20kg5m5m100 kg200 kg2 Io1.5 Io2.5 Io3 IoA BCDE6m8m5m10mK1 = 2EI/LK2 = 2EI/LK3= 2EI/LK4 = 2EI/LCALCULO DEL FACTOR DE DISTRIBUCION:TRAMOILK=I/LFDAB0.01086m0.0018000.64BC0.00818m0.0010130.36

BC0.00818m0.0010130.273CD0.01355m0.0027000.727

CD0.01355m0.0027000.625DE0.016210m0.0016200.375CALCULOS DE LOS MEP:TRAMOWPabLMEPAB206-42.00BA20642.00

BC100358-117.19CB10035870.31

CD205-41.67DC20541.67

DE2005510-250.00ED2005510250.00-333.33

0.640.360.2730.7270.6250.375-42.0042.00-117.1970.31-41.6741.67-250.00250.0042.0021.00-125.00-250.0054.19-28.65333.33-34.68-19.5075-7.8125-20.833333208.333333125-3.90625-9.75375104.166667-10.4166672.51.40625-25.7489772727-68.66393939396.51041666673.90625-12.87448863640.7031253.2552083333-34.3319696978.23967272734.6348159091-1.0795454545-2.878787878821.457481060612.8744886364-0.53977272732.317407954510.7287405303-1.43939393940.34545454550.1943181818-3.5580404959-9.4881079890.89962121210.5397727273-1.77902024790.09715909090.4498106061-4.74405399451.13857295870.6404472893-0.1491735537-0.39779614332.96503374661.7790202479-0.07458677690.32022364461.4825168733-0.19889807160.04773553720.0268512397-0.4916565049-1.3110840130.12431129480.0745867769-0.24582825240.01342561980.0621556474-0.65554200650.15733008160.0884981709-0.0206130729-0.05496819430.40971375410.2458282524-0.01030653640.04424908540.204856877-0.02748409720.00659618330.0037103531-0.0679379898-0.18116797270.01717756070.0103065364-0.03396899490.00185517660.0085887804-0.09058398640.02174015670.0122288382-0.0028483519-0.0075956050.05661499150.0339689949-0.00142417590.00611441910.0283074957-0.00379780250.00091147260.0005127033-0.0093877949-0.02503411990.00237362660.0014241759-0.00469389750.00025635170.0011868133-0.01251705990.00300409440.0016898031-0.0003935904-0.00104957450.00782316250.0046938975-0.00019679520.00084490150.0039115812-0.00052478730.0001260.000071-0.001297-0.0034590.0003280.000197-0.0006490.0000350.000164-0.0017300.00041511120.0002335001-0.000054-0.0001450.0010810.000649-0.0000270.0001170.000541-0.0000730.0000170.000010-0.000179-0.0004780.0000450.000027-0.0000900.0000050.000023-0.0002390.0000570.000032-0.000008-0.0000200.0001490.000090-0.0000040.0000160.000075-0.0000100.0000020.000001-0.000025-0.0000660.0000060.000004-0.0000120.0000010.000003-0.0000330.0000080.000004-0.000001-0.0000030.0000210.000012-0.0000010.0000020.000010-0.0000010.0000000.000000-0.000003-0.0000090.0000010.000001MOMENTOS FLECTORES FINALES0.0094.97-149.1625.12-25.12230.53-230.530.00

CALCULOS DE LOS CORTANTES:TRAMOWPabLVAB20627.00BA20627.00

BC10035868.36CB10035831.64

CD20550.00DC20550.00

DE2005510100.00ED2005510100.00CALCULO DE LAS REACCIONES:94.97-124.04205.41-230.5368510-15.82819115.828190707615.5044618952-15.5044618952-41.081548693541.08154869352305.286813857-23.052868138627.0027.0068.3631.6450.0050.00100.00100.0011.17180942.82819183.86383716.1361638.91845191.0815492405.28681476.947132CORTANTES FINALES11.171809-42.82819183.863837-16.1361638.918451-91.0815492405.286814-76.947132

REACCIONES11.171809126.69202825.0546142496.368363-76.947132