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17.4: Appendix D- The Shear Angle β Non-Cavitating

  • Page ID
    35249
  • Table D-1: β for hb/hi=1, non-cavitating.

    hb/hi=1

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15

    15o

    40.892

    40.152

    39.169

    38.012

    36.727

    18o

    39.024

    38.380

    37.483

    36.402

    35.184

    21o

    37.355

    36.781

    35.947

    34.924

    33.756

    24o

    35.847

    35.321

    34.534

    33.552

    32.423

    27o

    34.468

    33.975

    33.220

    32.269

    31.166

    30o

    33.196

    32.723

    31.989

    31.058

    29.973

    30

    15o

    37.967

    36.937

    35.707

    34.334

    32.854

    18o

    36.187

    35.250

    34.100

    32.795

    31.372

    21o

    34.564

    33.696

    32.606

    31.353

    29.974

    24o

    33.072

    32.255

    31.209

    29.994

    28.648

    27o

    31.690

    30.907

    29.893

    28.705

    27.382

    30o

    30.401

    29.640

    28.646

    27.476

    26.166

    45

    15o

    33.389

    32.254

    30.936

    29.481

    27.919

    18o

    31.792

    30.726

    29.467

    28.061

    26.539

    21o

    30.326

    29.310

    28.092

    26.720

    25.224

    24o

    28.969

    27.984

    26.793

    25.442

    23.963

    27o

    27.700

    26.733

    25.557

    24.218

    22.745

    30o

    26.503

    25.543

    24.373

    23.036

    21.562

    60

    15o

    28.220

    26.928

    25.482

    23.917

    22.253

    18o

    26.813

    25.569

    24.160

    22.623

    20.978

    21o

    25.500

    24.287

    22.901

    21.379

    19.742

    24o

    24.264

    23.067

    21.692

    20.174

    18.535

    27o

    23.091

    21.897

    20.522

    18.999

    17.350

    30o

    21.967

    20.767

    19.382

    17.845

    16.177

    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 non-cavitating cutting process, for hb/hi=1.

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

    hb/hi=2

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    41.128

    40.402

    39.427

    38.273

    36.986

    18o

    39.239

    38.609

    37.720

    36.643

    35.424

    21o

    37.554

    36.993

    36.167

    35.147

    33.979

    24o

    36.030

    35.517

    34.738

    33.760

    32.630

    27o

    34.638

    34.158

    33.410

    32.462

    31.358

    30o

    33.354

    32.893

    32.167

    31.238

    30.152

    30o

    15o

    39.129

    37.939

    36.562

    35.056

    33.457

    18o

    37.223

    36.144

    34.859

    33.429

    31.894

    21o

    35.458

    34.468

    33.258

    31.891

    30.408

    24o

    33.820

    32.899

    31.748

    30.432

    28.992

    27o

    32.293

    31.425

    30.320

    29.043

    27.637

    30o

    30.864

    30.035

    28.965

    27.718

    26.336

    45o

    15o

    33.483

    32.334

    30.991

    29.508

    27.918

    18o

    31.743

    30.679

    29.408

    27.985

    26.444

    21o

    30.142

    29.141

    27.925

    26.547

    25.043

    24o

    28.660

    27.704

    26.527

    25.182

    23.705

    27o

    27.278

    26.353

    25.202

    23.879

    22.420

    30 o

    25.982

    25.074

    23.939

    22.630

    21.179

    60o

    15o

    27.692

    26.533

    25.186

    23.694

    22.085

    18o

    26.156

    25.057

    23.759

    22.307

    20.729

    21o

    24.744

    23.683

    22.418

    20.991

    19.432

    24o

    23.432

    22.394

    21.147

    19.733

    18.180

    27o

    22.203

    21.173

    19.932

    18.520

    16.965

    30o

    21.039

    20.008

    18.763

    17.344

    15.776

    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 non-cavitating cutting process, for hb/hi=2.

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

    hb/hi=3

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    42.346

    41.502

    40.418

    39.164

    37.786

    18o

    40.414

    39.674

    38.681

    37.507

    36.198

    21o

    38.673

    38.010

    37.086

    35.973

    34.718

    24o

    37.087

    36.481

    35.609

    34.542

    33.328

    27o

    35.631

    35.064

    34.230

    33.197

    32.013

    30 o

    34.283

    33.742

    32.934

    31.926

    30.763

    30o

    15o

    40.176

    38.793

    37.257

    35.619

    33.909

    18o

    38.242

    36.978

    35.537

    33.977

    32.331

    21o

    36.421

    35.258

    33.900

    32.407

    30.817

    24o

    34.711

    33.631

    32.341

    30.906

    29.364

    27o

    33.103

    32.090

    30.858

    29.470

    27.968

    30o

    31.590

    30.631

    29.444

    28.095

    26.625

    45o

    15o

    35.406

    33.895

    32.248

    30.509

    28.703

    18o

    33.548

    32.142

    30.578

    28.907

    27.156

    21o

    31.788

    30.472

    28.981

    27.368

    25.665

    24o

    30.126

    28.885

    27.455

    25.891

    24.230

    27o

    28.557

    27.376

    25.996

    24.474

    22.845

    30o

    27.075

    25.941

    24.600

    23.111

    21.509

    60o

    15o

    28.252

    26.972

    25.516

    23.930

    22.241

    18o

    26.613

    25.406

    24.010

    22.472

    20.823

    21o

    25.094

    23.940

    22.588

    21.086

    19.464

    24o

    23.677

    22.560

    21.238

    19.760

    18.156

    27o

    22.348

    21.253

    19.950

    18.485

    16.890

    30o

    21.092

    20.008

    18.713

    17.254

    15.600

    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 non-cavitating cutting process, for hb/hi=3.

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