201554_16378_EXEMPLO+TRELIÇA+PLANA+GB+TURMA+22x

DADOS DE ENTRADACOORDENADAS DOS NSCONECTIVIDADES DAS BARRASRESTRIES NODAISunidade de medidametrosBARRANINFNRXRYNXY114111110212211204313311314423411444534legenda:0impedido1livreMDULO DE ELASTICIDADEPROPRIEDADES DA SEO TRANSVERSALCARGAS NODAISGPa kN/mkPa Unidade de medida:kNBARRAEEBARRADIAM (")DIAM(m)REA (m)NPXPY12102.10E+0812.50.06353.17E-0310022102.10E+0822.50.06353.17E-0320032102.10E+0832.750.069853.83E-0330-4042102.10E+08420.05082.03E-03415-3052102.10E+08520.05082.03E-03

BARRA 1BARRAN INICIAL1N FINAL4MDULOREAXIYIXFYFEST110442.10E+083.17E-03COMPRIMENTO DA BARRALX=3C=0.6LY=4S=0.8L=5MATRIZ DE RIGIDEZ DA BARRA - SISTEMA LOCAL - KL1.33E+050-1.33E+050KL=0000-1.33E+0501.33E+0500000

K1K1KL=14K4K414MATRIZ DE ROTAO - RMATRIZ DE ROTAO TRANSPOSTA - RT0.60.8000.6-0.800R=-0.80.600RT=0.80.600000.60.8000.6-0.800-0.80.6000.80.6MATRIZ DE RIGIDEZ DA BARRA - SISTEMA GLOBAL - KG47883.856774713563845.1423662847-47883.8567747135-63845.142366284779806.42795785590-79806.42795785590KG=63845.142366284785126.8564883796-63845.1423662847-85126.8564883796106408.5706104750-106408.5706104750-47883.8567747135-63845.142366284747883.856774713563845.1423662847-79806.4279578559079806.42795785590-63845.1423662847-85126.856488379663845.142366284785126.8564883796-106408.5706104750106408.5706104750EQUILBRIO DA BARRA - SISTEMA GLOBALF=K.UEQUAO - NVEL DE NFIKIIKIFUIFFKFIKFFUFEQUAO - NVEL DE GRAU DE LIBERDADEFXI47883.856774713563845.1423662847-47883.8567747135-63845.14236628470FYI=63845.142366284785126.8564883796-63845.1423662847-85126.8564883796*0FXF-47883.8567747135-63845.142366284747883.856774713563845.14236628473.52E-04FYF-63845.1423662847-85126.856488379663845.142366284785126.8564883796-6.17E-04VETOR DE CARGAS NODAIS - SISTEMA GLOBALFXI22.5kN FYI=30kN FXF-22.5kN FYF-30kN VETOR DE CARGAS NODAIS - SISTEMA LOCAL(FL=R.F)FXI37.50kN A BARRA EST SUBMETIDA AO ESFORO NORMAL DE:FYI=0.00kN 37.50COMPRESSOFXF-37.50kN kN FYF-0.00kN

BARRA2BARRAN INICIAL1N FINAL2MDULOREAXIYIXFYFEST210042.10E+083.17E-03COMPRIMENTO DA BARRALX=-1C=-0.242535625LY=4S=0.9701425001L=4.1231056256MATRIZ DE RIGIDEZ DA BARRA - SISTEMA LOCAL - KL1.61E+050-1.61E+050KL=0000-1.61E+0501.61E+0500000

K1K1KL=12K2K212MATRIZ DE ROTAO - RMATRIZ DE ROTAO TRANSPOSTA - RT-0.2425356250.970142500100-0.242535625-0.970142500100R=-0.9701425001-0.24253562500RT=0.9701425001-0.2425356250000-0.2425356250.970142500100-0.242535625-0.970142500100-0.9701425001-0.242535625000.9701425001-0.242535625MATRIZ DE RIGIDEZ DA BARRA - SISTEMA GLOBAL - KG9488.1871993508-37952.7487974032-9488.187199350837952.7487974032-39120.7980185568039120.79801855680KG=-37952.7487974032151810.99518961337952.7487974032-151810.995189613156483.1920742270-156483.1920742270-9488.187199350837952.74879740329488.1871993508-37952.748797403239120.79801855680-39120.7980185568037952.7487974032-151810.995189613-37952.7487974032151810.995189613-156483.1920742270156483.1920742270EQUILBRIO DA BARRA - SISTEMA GLOBALF=K.UEQUAO - NVEL DE NFIKIIKIFUIFFKFIKFFUFEQUAO - NVEL DE GRAU DE LIBERDADEFXI9488.1871993508-37952.7487974032-9488.187199350837952.74879740320FYI=-37952.7487974032151810.99518961337952.7487974032-151810.995189613*0FXF-9488.187199350837952.74879740329488.1871993508-37952.74879740320FYF37952.7487974032-151810.995189613-37952.7487974032151810.9951896130VETOR DE CARGAS NODAIS - SISTEMA GLOBALFXI0kN FYI=0kN FXF0kN FYF0kN VETOR DE CARGAS NODAIS - SISTEMA LOCAL(FL=R.F)FXI0.00kN A BARRA EST SUBMETIDA AO ESFORO NORMAL DE:FYI=0.00kN 0.00-FXF0.00kN kN FYF0.00kN

BARRA3BARRAN INICIAL1N FINAL3MDULOREAXIYIXFYFEST310142.10E+083.83E-03COMPRIMENTO DA BARRALX=0C=0LY=4S=1L=4MATRIZ DE RIGIDEZ DA BARRA - SISTEMA LOCAL - KL2.01E+050-2.01E+050KL=0000-2.01E+0502.01E+0500000

K1K1KL=13K3K313MATRIZ DE ROTAO - RMATRIZ DE ROTAO TRANSPOSTA - RT01000-100R=-1000RT=10000001000-100-100010MATRIZ DE RIGIDEZ DA BARRA - SISTEMA GLOBAL - KG00000000KG=0201178.7038104280-201178.703810428201178.7038104280-201178.7038104280000000000-201178.7038104280201178.703810428-201178.7038104280201178.7038104280EQUILBRIO DA BARRA - SISTEMA GLOBALF=K.UEQUAO - NVEL DE NFIKIIKIFUIFFKFIKFFUFEQUAO - NVEL DE GRAU DE LIBERDADEFXI00000FYI=0201178.7038104280-201178.703810428*0FXF00008.81E-05FYF0-201178.7038104280201178.703810428-1.99E-04VETOR DE CARGAS NODAIS - SISTEMA GLOBALFXI0kN FYI=40kN FXF0kN FYF-40kN VETOR DE CARGAS NODAIS - SISTEMA LOCAL(FL=R.F)FXI40.00kN A BARRA EST SUBMETIDA AO ESFORO NORMAL DE:FYI=0.00kN 40.00COMPRESSOFXF-40.00kN kN FYF0.00kN


K2K2KL=23K3K323MATRIZ DE ROTAO - RMATRIZ DE ROTAO TRANSPOSTA - RT10001000R=0100RT=01000010001000010001MATRIZ DE RIGIDEZ DA BARRA - SISTEMA GLOBAL - KG425634.2824418980-425634.2824418980425634.2824418980-425634.2824418980KG=00000000-425634.2824418980425634.2824418980-425634.2824418980425634.282441898000000000EQUILBRIO DA BARRA - SISTEMA GLOBALF=K.UEQUAO - NVEL DE NFIKIIKIFUIFFKFIKFFUFEQUAO - NVEL DE GRAU DE LIBERDADEFXI425634.2824418980-425634.28244189800FYI=0000*0FXF-425634.2824418980425634.28244189800.0000881038FYF0000-0.0001988282VETOR DE CARGAS NODAIS - SISTEMA GLOBALFXI-37.5kN FYI=0kN FXF37.5kN FYF0kN VETOR DE CARGAS NODAIS - SISTEMA LOCAL(FL=R.F)FXI-37.50kN A BARRA EST SUBMETIDA AO ESFORO NORMAL DE:FYI=0.00kN 37.50TRAOFXF37.50kN kN FYF0.00kN


K3K3KL=34K4K434MATRIZ DE ROTAO - RMATRIZ DE ROTAO TRANSPOSTA - RT10001000R=0100RT=01000010001000010001MATRIZ DE RIGIDEZ DA BARRA - SISTEMA GLOBAL - KG141878.0941472990-141878.0941472990141878.0941472990-141878.0941472990KG=00000000-141878.0941472990141878.0941472990-141878.0941472990141878.094147299000000000EQUILBRIO DA BARRA - SISTEMA GLOBALF=K.UEQUAO - NVEL DE NFIKIIKIFUIFFKFIKFFUFEQUAO - NVEL DE GRAU DE LIBERDADEFXI141878.0941472990-141878.09414729908.81E-05FYI=0000*-1.99E-04FXF-141878.0941472990141878.09414729903.52E-04FYF0000-6.17E-04VETOR DE CARGAS NODAIS - SISTEMA GLOBALFXI-37.5kN FYI=0kN FXF37.5kN FYF0kN VETOR DE CARGAS NODAIS - SISTEMA LOCAL(FL=R.F)FXI-37.50kN A BARRA EST SUBMETIDA AO ESFORO NORMAL DE:FYI=0.00kN 37.50TRAOFXF37.50kN kN FYF0.00kN

MATRIZ GLOBAL ESTRUTURAMATRIZ DE RIGIDEZ GLOBAL DA TRELIAK11K12K13K14K21K22K23K24K31K32K33K34K41K42K43K4447883.856774713563845.1423662847-47883.8567747135-63845.142366284763845.142366284785126.8564883796-63845.1423662847-85126.8564883796

KG1=

-47883.8567747135-63845.142366284747883.856774713563845.1423662847-63845.1423662847-85126.856488379663845.142366284785126.8564883796

9488.1871993508-37952.7487974032-9488.187199350837952.7487974032-37952.7487974032151810.99518961337952.7487974032-151810.995189613-9488.187199350837952.74879740329488.1871993508-37952.7487974032KG2=37952.7487974032-151810.995189613-37952.7487974032151810.995189613

00000201178.7038104280-201178.703810428

KG3=00000-201178.7038104280201178.703810428

425634.2824418980-425634.2824418980KG4=0000-425634.2824418980425634.28244189800000

KG5=141878.0941472990-141878.09414729900000-141878.0941472990141878.09414729900000

57372.043974064425892.3935688815-9488.187199350837952.748797403200-47883.8567747135-63845.142366284725892.3935688815438116.55548842137952.7487974032-151810.9951896130-201178.703810428-63845.1423662847-85126.8564883796-9488.187199350837952.7487974032435122.469641249-37952.7487974032-425634.28244189800037952.7487974032-151810.995189613-37952.7487974032151810.9951896130000KGT=00-425634.2824418980567512.3765891970-141878.09414729900-201178.703810428000201178.70381042800-47883.8567747135-63845.142366284700-141878.0941472990189761.95092201363845.1423662847-63845.1423662847-85126.8564883796000063845.142366284785126.8564883796MATRIZ REFERENTE S BARRAS DA TRELIA SEM CONDIES DE CONTORNO (HIPOSTTICA).EQUAO DE EQUILBRIO DA ESTRUTURAf=k.uOBS: MATRIZ DE RIGIDEZ DA TRELIA - GLOBAL - COM CONDIES DE CONTORNO.11111111FX1110000000UX1FY1101000000UY1FX2100100000UX2FY2100010000XUY2FX310000567512.3765891970-141878.0941472990UX3FY3100000201178.70381042800UY3FX410000-141878.0941472990189761.95092201363845.1423662847UX4FY4100000063845.142366284785126.8564883796UY4UX1100000000UY1010000000UX2001000000UY200010000X0UX3=00000.000002349400.0000023494-0.00000176210UY3000000.000004970700-40UX400000.000002349400.0000093977-0.000007048315UY40000-0.00000176210-0.00000704830.0000170334-30UX10u1UY10UX20u2UY20UX3=8.81E-05u3UY3-1.988E-04UX43.52E-04u4UY4-6.17E-04

RESULTADOSESFOROS NORMAIS (kN)REAES DE APOIO kN barrabarrabarrabarrabarraCARGA BARRAN (kN)NRXRYEM X12345APLICADA137.50122.57022.500020.002-37.500-37.50340.00300037.5-37.50437.50400-22.537.515537.50barrabarrabarrabarrabarraCARGA TENSO NORMAL / BARRAMPa EM Y12345APLICADABARRAs"folga"1300400111.8495.2635394207200020.001003-4000-40310.4495.82460775384-300-30418.5092.5992803448518.5092.5992803448

DADO DO MATERIAL slimite 250MPA

201554_16378_EXEMPLO+TRELIÇA+PLANA+GB+TURMA+22x

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