187425860 metodo-cross-tareaentrega-pdf

UNIVERSIDAD DE GUANAJUATO

RESISTENCIA DE MATERIALES III

ANTONIO EMMANUEL REGALADO GONZALEZ




D.C.L. (1)

+ x - 7.0 x -1 - 7.0 x -3

x + x2 - 3.5 x -1 - 3.5 x -3 + C1

x2 + x3 - x -1 -

1.167 x -3 + C1x + C2

Si x = 0 : 0 , C2 = 0

Si x = 0 : 0 , C1 = 0

Si x = 4 : (dy/dx)B= qB= 1/2EI

D.C.L. (2)

+ x - x2

x + x2 - x3 + C3

x2

+ x3

- x4

+ C3 x + C4

Si x = 0 : 0 , C4 = 0

Si x = 5 : 0 , C3 =

Si x = 0 : (dy/dx)B= qB= EI

FACULTAD DE INGENIERIA CIVIL



EI

-0.4598

-3.0834 1.2601 0.125

y =

y =

-0.4598

qB=-0.45975

-6.1669 7.5605 1.5

-6.1669 3.7802 0.5

dy/dx =

-0.9206

-0.4603

EIqB=

-4.7934 6.6566

-2.3967 1.1094 1.1667

y =

-4.7934 3.3283

DIAGRAMAS DE LA ELASTICA (DOBLE INTEGRACIÓN)

2 2

3

3

=2

2

2dx

ydEI

=dx

dyEI2

=EIy2

=2

2

dx

ydEI

=dx

dyEI

=EIy




D.C.L. (3)

+ x - x -2

x + x2 - 5 x -2 + C5

x2 + x3 - x -2 + C5 x + C6

Si x = 0 : 0 , C6 = 0

Si x = 0 : 0 , C5 = 0

Si x = 3 : (dy/dx)B= qB= 1/2EI




-2.9323 0.8814 1.6667

y =

dy/dx =

qB=0.60157

EI

1.2031

10.0-5.8646

-5.8646 2.6441

5.2882

2-

3

=2

2

2dx

ydEI

=dx

dyEI2

=EIy2




TRAMO AB TRAMO BC TRAMO CD

x x x

0.1 0.1 0.1

0.2 0.2 0.2

0.3 0.3 0.3

0.4 0.4 0.4

0.5 0.5 0.5

0.6 0.6 0.6

0.7 0.7 0.7

0.8 0.8 0.8

0.9 0.9 0.9

1.0 1.0 1.0

1.1 1.1 1.1

1.2 1.2 1.2

1.3 1.3 1.3

1.4 1.4 1.4

1.5 1.5 1.5

1.6 1.6 1.6

1.7 1.7 1.7

1.8 1.8 1.8

1.9 1.9 1.9

2.0 2.0 2.0

2.1 2.1 2.1

2.2 2.2 2.2

2.3 2.3 2.3

2.4 2.4 2.4

2.5 2.5 2.5

2.6 2.6 2.6

2.7 2.7 2.7

2.8 2.8 2.8

2.9 2.9 2.93.0 3.0 3.0

3.1 3.1

3.2 3.2

3.3 3.3

3.4 3.4

3.5 3.5

3.6 3.6

3.7 3.7

3.8 3.8

3.9 3.94.0 4.0

4.1

4.2

4.3

4.4

4.5

4.6

4.7

4.8

4.95




-2.3457 0.8262

-2.3001 0.9911

-2.2474 1.1089

-1.6475

-2.3391 -1.1528

-2.3854 -0.7051

-2.4104 -0.3046

-4.8280

-1.8115 -4.0976

-1.9483 -3.4144

-2.0721 -2.7783

-0.7127 -10.1994

-0.8663 -9.1864

-1.0255 -8.2205

-0.1201 -15.9714

-0.2064 -14.7228

-0.3115 -13.5213

y/EI q/EI

-0.0142 -18.6100

-0.0551 -17.2672

-2.1302 1.2031-2.1900 1.1796

-2.4063 0.3550

-2.3819 0.6142

-2.4166 0.0488

-2.1802 -2.1894

-2.2701

-1.5096 -5.6054

-1.6644

-1.1875 -7.3017

-1.3497

-0.4326 -12.3669

-0.5673 -11.2596

0.7117

2.9993

2.7765

2.4943

2.1498

1.7398

1.2614

3.2567

3.32733.3565

3.3413

3.2787

3.1657

2.1318

2.3878

2.6204

2.8265

3.0033

3.1477

-0.0630

0.2728

0.6061

0.9340

1.25361.5617

-1.9597

-1.6726

-1.3699

-1.0545

-0.7296

-0.3981

-1.9831

-2.3537

-2.6606

-2.9070

-3.0957

-3.2299

0.6224

0.4793

0.2995

0.0829

-0.1703-0.4603

0.72760.7873

0.8277

0.8315

0.7985

0.7288

0.3334

0.4034

0.4717

0.5382

0.6031

0.6662

-0.1225

-0.0422

0.0363

0.1132

0.1883

0.2617

-0.6403

-0.5497

-0.4608

-0.3737

-0.2882

-0.2045

-0.4128

-0.5692

-0.6924

-0.7823

-0.8389

-0.8623

-0.8523

-0.8091

-0.7326

-2.6261

-2.2723

-1.9058

-1.8479

-1.8028

-1.7433

-1.6696

-1.5820

-1.4810

-4.3136

-4.0966

-3.8511

-3.5790

-3.2824

-2.9638

1.8555

-4.9253

-4.8688

-4.7789

-4.6559

-4.5004-1.1005-0.9489

-0.7868

-0.6203

-0.0100

-1.8760

-1.8925

-1.8930

-1.8780

-0.4567

-0.3033

-0.1676

-0.0568

0.0217

-1.5435

-1.6445

-1.7279

-1.7941

-1.8433

0.0524

0.0606

-1.3668

-1.2399

-0.0870

-0.1858

-0.3125

-0.4605

-0.7939

-0.9659

-1.1326

-1.2873

-1.4245

-4.0113

-4.2241

-4.4135

-2.6973

-2.4751

-2.2282

-3.2594

-3.5258

-3.7775

-3.1866

-3.0561

-2.8920

-2.4081

-2.6966

-2.9817

-3.3464

-3.3347

-3.2805 -6.4300

-1.5684

-1.8392

-2.1207 -3.3124

-0.6232

-1.5459

TABULACIÓN DE LA ELASTICA Y LAS PENDIENTES.

y/EI q/EI

-0.0229 -0.2230

-1.3138

-4.9378

-4.9482

y/EI q/EI

-0.4893 -1.0391

-0.5732

-0.7043

-0.8757

-1.0809

1.2561

1.4972

1.69381.8390

-1.5303-1.1498

-0.7685

-0.3911

-0.0225

0.3322

0.6674

0.9774

-4.5771

-4.7129

-4.8191

-4.8945

187425860 metodo-cross-tareaentrega-pdf

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