UNIVERSIDAD NACIONAL DE HUANCAVELICA INGENIERA CIVILEJERCICIO N 2:Para la viga que se muestra en la figura determinar y dibujar: Lneas de influencia para los momentos flectores en los apoyos A, B y C. Lneas de influencia para la reaccin vertical en los apoyos A, B, C y D. Lneas de influencia para la fuerza cortante y momento flector en una seccin ubicada en el centro de luz del tramo BC.

TRAMO DE CARGA

NOMBRE6CASODE CARGAABBCCD

PARTERNO6CASO 1100

MATERNO7CASO 2010

CASO 3001

CASOS DE CARGAMOMENTOS DE ENPOTRAMIENTO PARCIALES

TRAMOCASO 1CASO 2CASO 3DISTANCIAMabMbaMbcMcbMcdMdc

AB1001-0.69440.13890000

1002-0.88890.44440000

1003-0.750.750000

1004-0.44440.88890000

1005-0.13890.69440000

1006000000

BC010100-0.6940.1388900

010200-0.8890.4444400

010300-0.750.7500

010400-0.4440.8888900

010500-0.1390.6944400

0106000000

CD00110000-0.7350.1224

00120000-1.020.4082

00130000-0.980.7347

00140000-0.7350.9796

00150000-0.4081.0204

00160000-0.1220.7347

0017000000

COEFICIENTES

M EMPOTRAMabMbaMbcMcbMcdMdc

M(ab)1-0.269-0.2690.0760.078-0.038

M(ba)00.461-0.5380.1530.155-0.076

M(bc)0-0.4610.538-0.153-0.1550.076

M(cb)0-0.098-0.0980.419-0.580.305

M(cd)00.0980.098-0.4190.58-0.305

M(dc)000000

LINEAS DE INFLUENCIA PARA LOS MOMENTOS FLECTORES EN LOS APOYOS A B CTRAMODISTANCIAM(ab)

00

AB1-0.73180556

2-1.00844444

3-0.95175

4-0.68355556

5-0.32569444

60

BC70.19736111

80.27288889

90.25875

100.18711111

110.09013889

120

CD13-0.06195918

14-0.09510204

15-0.10432653

16-0.09453061

17-0.07061224

18-0.03746939

190

TRAMODISTANCIAM(ba)

00

AB10.06402778

20.20488889

30.34575

40.40977778

50.32013889

60

BC70.39486111

80.54622222

90.51825

100.37511111

110.18097222

120

CD13-0.12318367

14-0.18918367

15-0.20767347

16-0.18832653

17-0.14081633

18-0.07481633

190

TRAMODISTANCIAM(bc)

00

AB1-0.06402778

2-0.20488889

3-0.34575

4-0.40977778

5-0.32013889

60

BC7-0.39486111

8-0.54622222

9-0.51825

10-0.37511111

11-0.18097222

120

CD130.12318367

140.18918367

150.20767347

160.18832653

170.14081633

180.07481633

190

TRAMODISTANCIAM(cb)

00

AB1-0.01361111

2-0.04355556

3-0.0735

4-0.08711111

5-0.06805556

60

BC70.12625

80.27333333

90.38775

100.416

110.30458333

120

CD130.46346939

140.71632653

150.7922449

160.72489796

170.54795918

180.29510204

190

TRAMODISTANCIAM(cd)

00

AB10.01361111

20.04355556

30.0735

40.08711111

50.06805556

60

BC7-0.12625

8-0.27333333

9-0.38775

10-0.416

11-0.30458333

120

CD13-0.46346939

14-0.71632653

15-0.7922449

16-0.72489796

17-0.54795918

18-0.29510204

190

LINEAS DE INFLUENCIA PARA LA REACCION VERTICAL EN LOS APOYOS A B C DTRAMODISTANCIARa

00

AB10.94462963

20.80059259

30.601

40.37896296

50.16759259

60

BC7-0.03291667

8-0.04555556

9-0.04325

10-0.03133333

11-0.01513889

120

CD13-0.01020408

14-0.01568027

15-0.01722449

16-0.01563265

17-0.01170068

18-0.00622449

190

TRAMODISTANCIARb

00

AB10.06377315

20.2262963

30.444375

40.67481481

50.8744213

60

BC70.91101852

80.7577037

90.565

100.35785185

110.1612037

120

CD13-0.0465102

14-0.07217687

15-0.08020408

16-0.07379592

17-0.05615646

18-0.0304898

190

TRAMODISTANCIARc

00

AB1-0.00645833

2-0.02066667

3-0.034875

4-0.04133333

5-0.03229167

60

BC70.13993386

80.32689947

90.53364286

100.73291005

110.89744709

120

CD130.98006706

140.90447522

150.78203499

160.62155685

170.43185131

180.22172886

190

TRAMODISTANCIARd

00

AB1-0.00194444

2-0.00622222

3-0.0105

4-0.01244444

5-0.00972222

60

BC7-0.01803571

8-0.03904762

9-0.05539286

10-0.05942857

11-0.0435119

120

CD130.07664723

140.18338192

150.31539359

160.46787172

170.63600583

180.81498542

190

LINEAS DE INFLUENCIA PARA LA NFUERZA CORTANTE Y MOMENTO FLECTOR EN EL CENTRO DEL TRAMO AB

TRAMODISTANCIAV3

00

AB1-0.05537037

2-0.19940741

3-0.399

40.37896296

50.16759259

60

BC7-0.03291667

8-0.04555556

9-0.04325

10-0.03133333

11-0.01513889

120

CD13-0.01020408

14-0.01568027

15-0.01722449

16-0.01563265

17-0.01170068

18-0.00622449

190

TRAMODISTANCIAM3

00

AB10.23013889

20.80311111

31.54275

41.82044444

50.82847222

60

BC7-0.29611111

8-0.40955556

9-0.3885

10-0.28111111

11-0.13555556

120

CD130.03134694

140.04806122

150.05265306

160.04763265

170.0355102

180.01879592

190

ANALISIS ESTRUCTURAL QUISPE HILARIO, Cirilo