A Quantitative Computational Method for Landslip Orientation of a Body Isolated from Bed Rock in Mountain by Using Spatial Analytic Geometry

DOI: 10.4236/am.2013.48152   PDF   HTML     5,424 Downloads   6,592 Views  

Abstract

The paper is going to give a quantitative computational method for “Landslip Orientation of a body isolated from bed rock in Mountain” only with spatial analytic geometry. The paper gives computational formulae in proper order for only landslip plane, just two landslip planes and just three landslip planes, and gives numerical examples. And the paper gives a general computational model for landslip orientation of m landslip planes. The author puts forward “Un-allowed Straight Angle Law”, “Critical Straight Angle Law” and “Allowed Straight Angle Law”. Finally, the author gives a project expression of a landslip plane on unit sphere.

Share and Cite:

C. Huang, "A Quantitative Computational Method for Landslip Orientation of a Body Isolated from Bed Rock in Mountain by Using Spatial Analytic Geometry," Applied Mathematics, Vol. 4 No. 8, 2013, pp. 1125-1141. doi: 10.4236/am.2013.48152.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] S. G. Hua, “Stereographic Projection of Rock Stable Analysis,” Scientia Sinica, Vol. 3, No. 5, 1977, pp. 260-272. (in Chinese)
[2] I. Shokichi, “Encyclopedic Dictionary of Mathematics,” Iwanami Shoten, Tokyo, 1954, p. 459.
[3] W. G. Lei and T. Chou, “A Short Course of Analytical Geometry,” 2nd Edition, High Education Press, Beijing, 2007. (in Chinese)

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.