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17.7: Appendix G- The Coefficient a1

  • Page ID
    35258
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Table G-1: a1 for hb/hi=1.

    hb/hi=1

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    0.525

    0.520

    0.515

    0.509

    0.503

    18o

    0.520

    0.516

    0.510

    0.505

    0.498

    21o

    0.516

    0.511

    0.506

    0.500

    0.494

    24o

    0.511

    0.507

    0.502

    0.496

    0.490

    27o

    0.507

    0.503

    0.498

    0.492

    0.485

    30o

    0.503

    0.498

    0.493

    0.487

    0.481

    30o

    15o

    0.526

    0.522

    0.517

    0.512

    0.506

    18o

    0.523

    0.519

    0.514

    0.509

    0.503

    21o

    0.520

    0.516

    0.511

    0.506

    0.500

    24o

    0.517

    0.512

    0.508

    0.502

    0.497

    27o

    0.514

    0.509

    0.504

    0.499

    0.493

    30o

    0.510

    0.506

    0.501

    0.496

    0.490

    45o

    15o

    0.534

    0.530

    0.525

    0.520

    0.514

    18o

    0.531

    0.527

    0.522

    0.517

    0.511

    21o

    0.528

    0.524

    0.519

    0.514

    0.508

    24o

    0.525

    0.521

    0.516

    0.511

    0.505

    27o

    0.523

    0.518

    0.513

    0.508

    0.501

    30o

    0.520

    0.515

    0.510

    0.504

    0.498

    60o

    15o

    0.535

    0.528

    0.521

    0.513

    0.505

    18o

    0.530

    0.524

    0.517

    0.509

    0.500

    21o

    0.526

    0.519

    0.512

    0.504

    0.494

    24o

    0.521

    0.515

    0.507

    0.498

    0.489

    27o

    0.517

    0.510

    0.502

    0.493

    0.483

    30o

    0.512

    0.505

    0.497

    0.487

    0.477

    The weigh factor a1, for the determination of the weighted average permeability km, 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 G-2: a1 for hb/hi=2.

    hb/hi=2

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    0.522

    0.518

    0.513

    0.507

    0.501

    18o

    0.518

    0.514

    0.509

    0.503

    0.497

    21o

    0.514

    0.510

    0.505

    0.499

    0.493

    24o

    0.510

    0.506

    0.501

    0.495

    0.489

    27o

    0.506

    0.502

    0.497

    0.491

    0.485

    30o

    0.502

    0.498

    0.493

    0.487

    0.481

    30o

    15o

    0.531

    0.526

    0.521

    0.516

    0.511

    18o

    0.527

    0.523

    0.518

    0.513

    0.508

    21o

    0.524

    0.520

    0.515

    0.510

    0.505

    24o

    0.521

    0.517

    0.512

    0.507

    0.501

    27o

    0.518

    0.514

    0.509

    0.504

    0.498

    30o

    0.514

    0.510

    0.506

    0.500

    0.495

    45o

    15o

    0.554

    0.550

    0.546

    0.541

    0.536

    18o

    0.552

    0.548

    0.544

    0.539

    0.534

    21o

    0.550

    0.546

    0.542

    0.537

    0.532

    24o

    0.548

    0.544

    0.539

    0.535

    0.529

    27o

    0.546

    0.542

    0.537

    0.532

    0.527

    30o

    0.544

    0.540

    0.535

    0.530

    0.524

    60o

    15o

    0.575

    0.569

    0.563

    0.556

    0.549

    18o

    0.571

    0.566

    0.559

    0.552

    0.545

    21o

    0.568

    0.562

    0.556

    0.549

    0.541

    24o

    0.565

    0.559

    0.552

    0.545

    0.536

    27o

    0.561

    0.555

    0.548

    0.541

    0.532

    30o

    0.558

    0.552

    0.544

    0.536

    0.527

    The weigh factor a1, for the determination of the weighted average permeability km, 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 G-3: a1 for hb/hi=3.

    hb/hi=3

    φ

    32o

    37o

    42o

    47o

    52o

    α δ          

    15o

    15o

    0.522

    0.517

    0.512

    0.507

    0.501

    18o

    0.518

    0.513

    0.508

    0.503

    0.497

    21o

    0.514

    0.509

    0.504

    0.499

    0.493

    24o

    0.510

    0.505

    0.500

    0.495

    0.489

    27o

    0.506

    0.501

    0.497

    0.491

    0.485

    30o

    0.502

    0.498

    0.493

    0.487

    0.480

    30o

    15o

    0.534

    0.529

    0.524

    0.519

    0.514

    18o

    0.531

    0.526

    0.521

    0.516

    0.511

    21o

    0.528

    0.523

    0.519

    0.513

    0.508

    24o

    0.525

    0.520

    0.516

    0.511

    0.505

    27o

    0.522

    0.517

    0.513

    0.508

    0.502

    30o

    0.519

    0.514

    0.510

    0.504

    0.499

    45o

    15o

    0.552

    0.548

    0.544

    0.540

    0.536

    18o

    0.550

    0.547

    0.543

    0.539

    0.534

    21o

    0.549

    0.545

    0.541

    0.537

    0.532

    24o

    0.547

    0.543

    0.539

    0.535

    0.531

    27o

    0.545

    0.542

    0.538

    0.533

    0.529

    30o

    0.544

    0.540

    0.536

    0.531

    0.527

    60o

    15o

    0.580

    0.575

    0.570

    0.565

    0.559

    18o

    0.578

    0.573

    0.568

    0.563

    0.557

    21o

    0.576

    0.571

    0.566

    0.560

    0.554

    24o

    0.573

    0.569

    0.564

    0.558

    0.551

    27o

    0.571

    0.566

    0.561

    0.555

    0.548

    30o

    0.569

    0.564

    0.558

    0.552

    0.545

    The weigh factor a1, for the determination of the weighted average permeability km, as a function of the blade angle α, the angle of internal friction φ, the soil/interface friction angle δ, for hb/hi=3.


    17.7: Appendix G- The Coefficient a1 is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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