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17.9: Appendix I- The Coefficient d1

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    35265
  • Table I-1: d1 for hb/hi=1

    hb/hi=1

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    1.390

    1.505

    1.625

    1.753

    1.890

    18o

    1.626

    1.766

    1.913

    2.069

    2.238

    21o

    1.860

    2.028

    2.205

    2.393

    2.597

    24o

    2.092

    2.291

    2.501

    2.726

    2.970

    27o

    2.324

    2.557

    2.803

    3.068

    3.358

    30o

    2.556

    2.826

    3.112

    3.423

    3.764

    30o

    15o

    1.206

    1.374

    1.559

    1.766

    2.000

    18o

    1.381

    1.575

    1.791

    2.033

    2.309

    21o

    1.559

    1.783

    2.033

    2.315

    2.638

    24o

    1.741

    1.998

    2.286

    2.613

    2.991

    27o

    1.928

    2.222

    2.552

    2.930

    3.370

    30o

    2.121

    2.455

    2.833

    3.269

    3.781

    45o

    15o

    1.419

    1.688

    2.000

    2.365

    2.800

    18o

    1.598

    1.905

    2.262

    2.685

    3.192

    21o

    1.784

    2.133

    2.543

    3.032

    3.625

    24o

    1.980

    2.376

    2.846

    3.411

    4.105

    27o

    2.186

    2.636

    3.174

    3.829

    4.642

    30o

    2.404

    2.916

    3.533

    4.292

    5.249

    60o

    15o

    1.879

    2.331

    2.883

    3.570

    4.444

    18o

    2.099

    2.615

    3.252

    4.054

    5.090

    21o

    2.336

    2.925

    3.661

    4.602

    5.837

    24o

    2.593

    3.267

    4.120

    5.228

    6.711

    27o

    2.872

    3.645

    4.639

    5.952

    7.746

    30o

    3.179

    4.069

    5.232

    6.798

    8.991

    The dimensionless force d1, in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for hb/hi=1.

    Table I-2: d1 for hb/hi=2.

    hb/hi=2

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    2.295

    2.460

    2.627

    2.801

    2.984

    18o

    2.683

    2.889

    3.098

    3.315

    3.545

    21o

    3.062

    3.313

    3.569

    3.836

    4.119

    24o

    3.435

    3.735

    4.042

    4.364

    4.707

    27o

    3.803

    4.156

    4.520

    4.903

    5.313

    30o

    4.169

    4.579

    5.005

    5.455

    5.941

    30o

    15o

    1.729

    1.934

    2.156

    2.401

    2.674

    18o

    1.997

    2.239

    2.503

    2.794

    3.122

    21o

    2.267

    2.550

    2.860

    3.205

    3.593

    24o

    2.539

    2.868

    3.230

    3.634

    4.093

    27o

    2.815

    3.195

    3.614

    4.085

    4.625

    30o

    3.097

    3.532

    4.015

    4.563

    5.195

    45o

    15o

    1.836

    2.142

    2.492

    2.898

    3.377

    18o

    2.093

    2.447

    2.854

    3.330

    3.897

    21o

    2.357

    2.765

    3.238

    3.794

    4.462

    24o

    2.631

    3.100

    3.646

    4.296

    5.084

    27o

    2.917

    3.454

    4.085

    4.843

    5.772

    30o

    3.217

    3.830

    4.558

    5.442

    6.541

    60o

    15o

    2.269

    2.764

    3.364

    4.104

    5.038

    18o

    2.567

    3.139

    3.837

    4.710

    5.827

    21o

    2.883

    3.543

    4.357

    5.388

    6.728

    24o

    3.221

    3.982

    4.933

    6.154

    7.771

    27o

    3.586

    4.464

    5.578

    7.031

    8.995

    30o

    3.982

    4.998

    6.306

    8.047

    10.453

    The dimensionless force d1, in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for hb/hi=2.

    Table I-3: d1 for hb/hi=3.

    hb/hi=3

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    3.145

    3.362

    3.578

    3.799

    4.028

    18o

    3.672

    3.945

    4.218

    4.497

    4.789

    21o

    4.185

    4.519

    4.855

    5.200

    5.562

    24o

    4.687

    5.087

    5.492

    5.910

    6.351

    27o

    5.180

    5.652

    6.132

    6.631

    7.159

    30o

    5.667

    6.216

    6.778

    7.366

    7.993

    30o

    15o

    2.216

    2.458

    2.717

    3.000

    3.312

    18o

    2.567

    2.858

    3.169

    3.510

    3.889

    21o

    2.919

    3.262

    3.632

    4.038

    4.492

    24o

    3.272

    3.673

    4.107

    4.587

    5.127

    27o

    3.629

    4.093

    4.599

    5.162

    5.799

    30o

    3.991

    4.525

    5.110

    5.766

    6.515

    45o

    15o

    2.222

    2.566

    2.954

    3.402

    3.925

    18o

    2.549

    2.951

    3.408

    3.938

    4.562

    21o

    2.883

    3.350

    3.885

    4.509

    5.252

    24o

    3.228

    3.768

    4.391

    5.123

    6.004

    27o

    3.585

    4.207

    4.929

    5.788

    6.831

    30o

    3.958

    4.671

    5.508

    6.513

    7.750

    60o

    15o

    2.632

    3.170

    3.817

    4.610

    5.605

    18o

    2.999

    3.627

    4.387

    5.329

    6.526

    21o

    3.387

    4.116

    5.008

    6.128

    7.572

    24o

    3.799

    4.645

    5.692

    7.025

    8.774

    27o

    4.240

    5.222

    6.453

    8.044

    10.175

    30o

    4.717

    5.856

    7.307

    9.217

    11.833

    The dimensionless force d1, in the direction of the cutting velocity, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for hb/hi=3.

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