Skip to main content
Engineering LibreTexts

17.2: Appendix B- Dry Sand Cutting Coefficients

  1. Last updated
  2. Save as PDF
  • Page ID
    35245

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

    B.1 Standard Configuration

    B.1.1 Standard hb/hi=1

    Screen Shot 2020-08-29 at 12.02.12 PM.png
    Figure B-1: The shear angle β as a function of the blade angle α for hb/hi=1.
    Screen Shot 2020-08-29 at 12.02.55 PM.png
    Figure B-2: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=1.
    Screen Shot 2020-08-29 at 12.03.41 PM.png
    Figure B-3: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=1.

    B.1.2 Standard hb/hi=2

    Screen Shot 2020-08-29 at 12.11.28 PM.png
    Figure B-4: The shear angle β as a function of the blade angle α for hb/hi=2.
    Screen Shot 2020-08-29 at 12.12.22 PM.png
    Figure B-5: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=2.
    Screen Shot 2020-08-29 at 12.15.25 PM.png
    Figure B-6: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=2.

    B.1.3 Standard hb/hi=3

    Screen Shot 2020-08-29 at 12.17.00 PM.png
    Figure B-7: The shear angle β as a function of the blade angle α for hb/hi=3.
    Screen Shot 2020-08-29 at 12.17.47 PM.png
    Figure B-8: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=3.
    Screen Shot 2020-08-29 at 12.31.55 PM.png
    Figure B-9: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=3.

    B.2 Alternative Configuration

    B.2.1 Alternative hb/hi=1

    Screen Shot 2020-08-29 at 12.41.25 PM.png
    Figure B-10: The shear angle β as a function of the blade angle α for hb/hi=1.
    Screen Shot 2020-08-29 at 12.42.54 PM.png
    Figure B-11: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=1.
    Screen Shot 2020-08-29 at 12.43.44 PM.png
    Figure B-12: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=1.

    B.2.2 Alternative hb/hi=2

    Screen Shot 2020-08-29 at 12.53.31 PM.png
    Figure B-13: The shear angle β as a function of the blade angle α for hb/hi=2.
    Screen Shot 2020-08-29 at 12.55.40 PM.png
    Figure B-14: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=2.
    Screen Shot 2020-08-29 at 12.56.28 PM.png
    Figure B-15: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=2.

    B.2.3 Alternative hb/hi=3

    Screen Shot 2020-08-29 at 1.00.12 PM.png
    Figure B-16: The shear angle β as a function of the blade angle α for hb/hi=3.
    Screen Shot 2020-08-29 at 1.01.25 PM.png
    Figure B-17: The horizontal cutting force coefficient λHD as a function of the blade angle α for hb/hi=3.
    Screen Shot 2020-08-29 at 1.03.35 PM.png
    Figure B-18: The vertical cutting force coefficient λVD as a function of the blade angle α for hb/hi=3.

    B.3 Percentage of Inertial Forces

    Screen Shot 2020-08-29 at 1.06.00 PM.png
    Figure B-19: The percentage inertial force for a dimensionless inertial effect parameter λi=0.025.
    Screen Shot 2020-08-29 at 1.06.44 PM.png
    Figure B-20: The percentage inertial force for a dimensionless inertial effect parameter λi=0.25.
    Screen Shot 2020-08-29 at 1.07.34 PM.png
    Figure B-21: The percentage inertial force for a dimensionless inertial effect parameter λi=2.5.
    Screen Shot 2020-08-29 at 1.10.22 PM.png
    Figure B-22: The percentage inertial force for a dimensionless inertial effect parameter λi=25.
    Screen Shot 2020-08-29 at 1.11.06 PM.png
    Figure B-23: The percentage inertial force for a dimensionless inertial effect parameter λi=250.
    Screen Shot 2020-08-29 at 1.12.23 PM.png
    Figure B-24: The shear angle β, including the effect of inertial forces for a dimensionless inertial effect parameter λi=250.
    Screen Shot 2020-08-29 at 1.24.02 PM.png
    Figure B-25: The horizontal cutting force coefficient λHI for a dimensionless inertial effect parameter λi=250.
    Screen Shot 2020-08-29 at 1.27.36 PM.png
    Figure B-26: The vertical cutting force coefficient λVI for a dimensionless inertial effect parameter λi=250.

    17.2: Appendix B- Dry Sand Cutting Coefficients is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

    1. Back to top
    • Was this article helpful?

    Recommended articles

    1. Article type
      Section or Page
    2. Tags
      This page has no tags.