17.4: Appendix D- The Shear Angle β Non-Cavitating
- Page ID
- 35249
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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.
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.
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.