3.- amat armaduras hibbeler pag 550 ok

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EJEMPLO DE ANALISIS MATRICIAL DE ARMADURAS Coordenadas de Nudos Pag. 550 Hibbeler Nudo Inicial Nudo Final Ɵ 1 1 --> 2 1,2 --> 6,5 0 0 120 0 29000 2 1 --> 3 1,2 --> 7,8 45° 0 0 120 120 29000 3 1 --> 4 1,2 --> 3,4 90° 0 0 0 120 29000 4 4 --> 3 3,4 --> 7,8 0 120 120 120 29000 5 4 --> 2 3,4 --> 6,5 315° 0 120 120 0 29000 6 2 --> 3 6,5 --> 7,8 90° 120 0 120 120 29000 Barra o Element o Conectivida d Nudos Conectivida d G. Lib. Coord. GLOBALES Xn (pulg) Yn (pulg) Xf (pulg) Yf (pulg) E (Klb/pulg2)

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AE II

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DatosEJEMPLO DE ANALISIS MATRICIAL DE ARMADURASCoordenadas de NudosPag. 550 HibbelerNudo InicialNudo FinalBarra o ElementoConectividad NudosConectividad G. Lib. Coord. GLOBALESXn (pulg)Yn (pulg)Xf (pulg)Yf (pulg)E (Klb/pulg2)A (pulg2)L (pulg)cos xcos y11 --> 21,2 --> 6,50001200290000.75120.001.0000000.00000021 --> 31,2 --> 7,84500120120290000.75169.710.7071070.70710731 --> 41,2 --> 3,490000120290000.75120.000.0000001.00000044 --> 33,4 --> 7,800120120120290000.75120.001.0000000.00000054 --> 23,4 --> 6,531501201200290000.75169.710.707107-0.70710762 --> 36,5 --> 7,8901200120120290000.75120.000.0000001.000000

Barra 1Barra110k local 1181.25-181.25T 11000TT 100-181.25181.2500100122240042{ (klocal1) * (T1) }181.250-181.250-181.250181.25024

1265k global 1 =(TT1) * { (klocal1) * (T1) }181.250-181.250100002-181.250181.25060000544FUERZAS INTERNAS{P}1= (k local 1) (T1) {D1}0.0101{D1}=-0.038206-0.0125{P}1= 1.79Klb-1.79KlbCompresin

Barra 2Barra20.70710678120k local 2128.1631040901-128.1631040901T 20.70710678120.707106781200TT 20.70710678120-128.1631040901128.1631040901000.70710678120.707106781200.7071067812222400.707106781242{ (klocal2) * (T2) }9191-91-91-91-91919124

1278k global 2 =(TT2) * { (klocal2) * (T2) }6464-64-6416464-64-642-64-6464647-64-646464844

FUERZAS INTERNAS{P}2= (k local 2) (T2) {D2}0.0101{D2}=-0.03820708{P}2= -2.54Klb2.54KlbTraccin

Barra 3Barra300k local 3181.25-181.25T 30100TT 310-181.25181.2500010022240142{ (klocal3) * (T3) }0181.250-181.250-181.250181.2524

1234k global 3 =(TT3) * { (klocal3) * (T3) }000010181.250-181.252000030-181.250181.25444FUERZAS INTERNAS{P}3= (k local 3) (T3) {D3}0.0101{D3}=-0.0382-0.0013-0.0484{P}3= 1.79Klb-1.79KlbCompresin

Barra 4Barra410k local 4181.25-181.25T 41000TT 400-181.25181.2500100122240042{ (klocal4) * (T4) }181.250-181.250-181.250181.25024

3478k global 4 =(TT4) * { (klocal4) * (T4) }181.250-181.250300004-181.250181.25070000844FUERZAS INTERNAS{P}4= (k local 4) (T4) {D4}-0.0013{D4}=-0.04840708{P}4= -0.21Klb0.21KlbTraccin

Barra 5Barra50.70710678120k local 5128.1631040901-128.1631040901T 50.7071067812-0.707106781200TT 5-0.70710678120-128.1631040901128.1631040901000.7071067812-0.707106781200.707106781222240-0.707106781242{ (klocal5) * (T5) }90.625-90.625-90.62590.625-90.62590.62590.625-90.62524

3465k global 5 =(TT5) * { (klocal5) * (T5) }64-64-64643-646464-644-646464-64664-64-6464544FUERZAS INTERNAS{P}5= (k local 5) (T5) {D5}-0.0013{D5}=-0.048406-0.0125{P}5= 3.12Klb-3.12KlbCompresin

Barra 6Barra600k local 6181.25-181.25T 60100TT 610-181.25181.2500010022240142{ (klocal6) * (T6) }0181.250-181.250-181.250181.2524

6578k global 6 =(TT6) * { (klocal6) * (T6) }000060181.250-181.255000070-181.250181.25844FUERZAS INTERNAS{P}6= (k local 6) (T6) {D6}06{D6}=-0.01250708{P}6= -2.21Klb2.21KlbTraccin

Du1234567824564000-181.25-64-641642450-181.2500-64-642K00245-6464-64-181.25030-181.25-64245-64640040064-64245-640-181.255-181.250-6464-64245006-64-64-181.25000245647-64-6400-181.25064245812345245640001Kuu642450-1810200245-646430-181-64245-6440064-642455

123450.0049-0.0033-0.0006-0.0028-0.00061Kuu-1-0.00330.01270.00220.01060.00222-0.00060.00220.00490.0028-0.00063-0.00280.01060.00280.01330.00284-0.00060.0022-0.00060.00280.0049501Fu0223Du = (Kuu-1) * (Fu)-44050.0101pulgDu-0.0382pulg-0.0013pulg-0.0484pulg-0.0125pulgReacciones{F} = (K) {D}

0.010101-0.0382-02{D}-0.001323-0.0484{F} = -44-0.01250506-4607270848