Development of a Mathematical Model for Angle of Soil Failure Plane in Case of 3-Dimenssional Cutting

Authors

  • Moayad B Zaied Department of Agric. Eng., Faculty of Natural Resources, University of Kordofan, Elobied, Sudan
  • Mohammed H Dahab Department of Agric. Eng., Faculty of Agriculture, University of Khartoum, Sudan
  • Ahmed M. El Naim Department of crop Sciences, Faculty of Natural Resources, University of Kordofan, Elobied, Sudan

Abstract

The interaction between tillage tools and soil is of a primary interest to the design and use of these tools for soil manipulation. A new explicit mathematical model to calculate the angle of soil failure plane when soil is cut with narrow tine was developed. Equations of Soil cohesion and soil adhesion cutting factors were partially differentiated with respect to angle of soil external friction, were maximized; Values of angle of soil failure plane were calculated by the model for tine rake angle range from 00 to 900 operated at 0.3 m depth and 0.15 m width in soils with different mechanical properties. It was found that angle of soil failure plane is acute and its values were used for calculating soil frictional cutting factor, soil overburden cutting factor, soil cohesion cutting factor, soil adhesion cutting factor, rupture distance, width of side crescent and soil resistance force. It was found that the force values were realistic. Therefore, the model is valid.

Keywords:

Mathematical modeling, Soil failure plane, 3-D soil cutting.

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Published

2014-06-25

How to Cite

Zaied, M. B., Dahab, M. H., & Naim, A. M. E. . (2014). Development of a Mathematical Model for Angle of Soil Failure Plane in Case of 3-Dimenssional Cutting. Current Research in Agricultural Sciences, 1(2), 42–52. Retrieved from https://archive.conscientiabeam.com/index.php/68/article/view/58

Issue

Vol. 1 No. 2 (2014)

Section

Articles

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