# 17.8: Appendix H- The Shear Angle β Cavitating

$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$

 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.

 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.

 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.

17.8: Appendix H- The Shear Angle β Cavitating is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.