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}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)
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.
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.
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.