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17.8: Appendix H- The Shear Angle β Cavitating

  • Page ID
    35262
  • Table H-1: β for hb/hi=1, cavitating.

    hb/hi=1

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    37.217

    37.520

    37.355

    36.831

    36.026

    18o

    34.461

    34.854

    34.790

    34.370

    33.669

    21o

    32.163

    32.598

    32.594

    32.243

    31.613

    24o

    30.212

    30.661

    30.689

    30.379

    29.796

    27o

    28.530

    28.973

    29.012

    28.726

    28.173

    30o

    27.060

    27.483

    27.520

    27.243

    26.707

    30o

    15o

    39.766

    39.060

    38.014

    36.718

    35.232

    18o

    37.341

    36.757

    35.823

    34.628

    33.233

    21o

    35.196

    34.696

    33.844

    32.725

    31.399

    24o

    33.280

    32.837

    32.041

    30.977

    29.704

    27o

    31.554

    31.145

    30.387

    29.363

    28.127

    30o

    29.985

    29.593

    28.859

    27.860

    26.650

    45o

    15o

    36.853

    35.599

    34.097

    32.412

    30.591

    18o

    34.768

    33.616

    32.202

    30.594

    28.839

    21o

    32.866

    31.789

    30.441

    28.892

    27.188

    24o

    31.119

    30.094

    28.794

    27.288

    25.623

    27o

    29.502

    28.512

    27.246

    25.770

    24.132

    30o

    27.996

    27.026

    25.781

    24.325

    22.705

    60o

    15o

    31.992

    30.395

    28.608

    26.683

    24.654

    18o

    30.155

    28.634

    26.911

    25.039

    23.055

    21o

    28.444

    26.979

    25.303

    23.471

    21.520

    24o

    26.841

    25.414

    23.772

    21.968

    20.040

    27o

    25.330

    23.927

    22.306

    20.520

    18.605

    30o

    23.897

    22.506

    20.896

    19.118

    17.208

    The shear angle β as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for the cavitating cutting process, for hb/hi=1.

    Table H-2: β for hb/hi=2, cavitating.

    hb/hi=2

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    28.724

    29.560

    29.957

    29.994

    29.733

    18o

    26.332

    27.162

    27.586

    27.670

    27.472

    21o

    24.420

    25.221

    25.643

    25.747

    25.582

    24 o

    22.849

    23.608

    24.014

    24.120

    23.968

    27o

    21.528

    22.240

    22.621

    22.716

    22.566

    30o

    20.396

    21.059

    21.407

    21.485

    21.329

    30o

    15o

    33.398

    33.367

    32.937

    32.198

    31.215

    18o

    30.972

    31.019

    30.677

    30.027

    29.134

    21o

    28.922

    29.011

    28.721

    28.131

    27.299

    24o

    27.161

    27.265

    27.004

    26.451

    25.659

    27o

    25.622

    25.725

    25.476

    24.944

    24.177

    30o

    24.259

    24.349

    24.101

    23.576

    22.823

    45o

    15o

    32.378

    31.721

    30.741

    29.516

    28.100

    18o

    30.207

    29.642

    28.751

    27.610

    26.271

    21o

    28.308

    27.801

    26.970

    25.887

    24.605

    24o

    26.624

    26.149

    25.357

    24.314

    23.070

    27 o

    25.110

    24.652

    23.881

    22.862

    21.643

    30o

    23.736

    23.280

    22.518

    21.512

    20.306

    60o

    15o

    28.906

    27.806

    26.445

    24.886

    23.174

    18o

    26.993

    25.974

    24.686

    23.194

    21.540

    21o

    25.276

    24.309

    23.072

    21.626

    20.014

    24o

    23.716

    22.781

    21.576

    20.159

    18.574

    27o

    22.283

    21.364

    20.176

    18.776

    17.204

    30o

    20.955

    20.038

    18.855

    17.461

    15.892

    The shear angle β as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for the cavitating cutting process, for hb/hi=2.

    Table H-3: β for hb/hi=3, cavitating.

    hb/hi=3

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    24.046

    25.019

    25.609

    25.872

    25.856

    18o

    21.976

    22.900

    23.476

    23.751

    23.765

    21o

    20.350

    21.217

    21.763

    22.030

    22.053

    24o

    19.031

    19.838

    20.348

    20.596

    20.615

    27o

    17.932

    18.680

    19.150

    19.374

    19.381

    30o

    16.996

    17.687

    18.117

    18.313

    18.303

    30o

    15o

    29.286

    29.575

    29.466

    29.038

    28.353

    18o

    26.992

    27.319

    27.267

    26.908

    26.297

    21o

    25.100

    25.435

    25.410

    25.090

    24.525

    24o

    23.504

    23.828

    23.811

    23.511

    22.973

    27o

    22.130

    22.433

    22.410

    22.116

    21.592

    30o

    20.928

    21.202

    21.165

    20.867

    20.346

    45o

    15o

    29.236

    28.919

    28.257

    27.325

    26.179

    18o

    27.101

    26.853

    26.266

    25.411

    24.339

    21o

    25.277

    25.065

    24.524

    23.719

    22.699

    24o

    23.690

    23.493

    22.977

    22.203

    21.215

    27o

    22.288

    22.091

    21.584

    20.825

    19.857

    30o

    21.031

    20.823

    20.315

    19.561

    18.600

    60o

    15o

    26.619

    25.832

    24.754

    23.450

    21.967

    18o

    24.711

    23.995

    22.987

    21.750

    20.329

    21o

    23.037

    22.362

    21.398

    20.206

    18.826

    24o

    21.543

    20.889

    19.951

    18.785

    17.431

    27o

    20.193

    19.545

    18.617

    17.464

    16.121

    30o

    18.958

    18.303

    17.374

    16.222

    14.880

    The shear angle β as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for the cavitating cutting process, for hb/hi=3.

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