Contact Us

For Marketing, Sales and Subscriptions Inquiries
Rockefeller Center, 45 Rockefeller Plaza
20th Flr Unit #5, New York, NY 10111
United States

Conference List

Current Research in Agricultural Sciences

June 2014, Volume 1, 2, pp 42-52

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

Moayad B. Zaied


Mohammed H. Dahab


Ahmed M. El Naim

Moayad B. Zaied 1
Mohammed H. Dahab 2
Ahmed M. El Naim 3

  1. Department of Agric. Eng., Faculty of Natural Resources, University of Kordofan, Elobied, Sudan 1

  2. Department of Agric. Eng., Faculty of Agriculture, University of Khartoum, Sudan 2

  3. Department of crop Sciences, Faculty of Natural Resources, University of Kordofan, Elobied, Sudan 3


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.

Contribution/ Originality



  1. R. D. Grisso and J. V. Perumpral, "Review of models for predicting performance of narrow tillage tool," Transactions of the ASAE, vol. 28, pp. 1062-1067, 1985.
  2. K. Terzaghi, Theoretical soil mechanics. New York: Wiley, 1959.
  3. D. R. P. Hettiaratchi and A. R. Reece, "Symmetrical three-dimensional soil failure," J. Terramech, vol. 4, pp. 45–67, 1967.
  4. P. C. J. Payne, "The relationship between mechanical properties of soil and the performance of simple cultivation implements," J. Agric. Eng. Res., vol. 1, pp. 23–50, 1956.
  5. E. McKyes and O. S. Ali, "The cutting of soil by narrow blades," J. Terramech, vol. 14, pp. 43–58, 1977.
  6. W. C. Swick and J. V. Perumpral, "A model for predicting soil–tool interaction," J. Terramech, vol. 25, pp. 43–56, 1988.
  7. D. Zeng and Y. Yao, "A dynamic model for soil cutting by blade and tine," J. Terramech, vol. 29, pp. 317–327, 1992.
  8. J. Kuczewsk and E. Piotrowska, "An improved model for forces on narrow soil cutting tines," Soil Till. Res., vol. 46, pp. 231–239, 1998.
  9. F. A. Kheiralla, A. Yahia, M. Zohadie, and W. Ishak, "Modelling of power and energy requirements for tillage implements operating on serdang sandy clay loam, Malaysia," Soil Till. Res., vol. 78, pp. 21–34, 2004.
  10. M. Abo-Elnor, R. Hamilton, and J. T. Boyle, "Simulation of soil–blade interaction for sandy soil using advanced 3-D finite element analysis," Soil Till. Res., vol. 75, pp. 61–73, 2004.
  11. E. McKyes and J. Maswaure, "Effect of design parameters of flat tillage tools on loosening of clay soil," Soil Till. Res., vol. 43, pp. 195–204, 1997.
  12. S. O. Chung and K. A. Sudduth, "Soil failure models for vertically operating and horizontally operating strength sensor," Transactions of the ASABE, vol. 49, p. 851?863, 2006.
  13. L. L. Kasisira and H. L. M. DuPlessis, "Width Prediction of a side circular crescent failed by a tillage tool in a sandy clay loam soil," Agricultural Engineering International: The CIGR E Journal. Manuscript PM 1334, vol. 11, pp. 1-8, 2009.
  14. E. McKyes, Soil cutting and tillage. Developments in agricultural engineering 10. Agricultural engineering soil mechanics. Amsterdam: Elsevier Science Publishing Company Inc., 1989.
  15. J. Zhang and R. L. Kushwaha, "A modified model to predict soil cutting resistance," Soil Till. Res., vol. 34, pp. 157–168, 1995.


Google Scholor ideas Microsoft Academic Search bing Google Scholor


Competing Interests:


Related Article

( 1 ) Agricultural Dualism, Wage Inequality and Development Policies
( 2 ) Development of a Mathematical Model for Angle of Soil Failure Plane in Case of 3-Dimenssional Cutting
( 3 ) Social, Economical and Environmental Issues of Floriculture Sector Development in Ethiopia
( 4 ) Social, Economical and Environmental Issues of Floriculture Sector Development in Ethiopia
( 5 ) Application of Analytical Hierarchical Process (AHP) in Development of Suitability Model for Rice Production in Taraba State
( 6 ) Challenges of Groundwater Development for Towns and Big Cities Water Supply in Rift Valley Areas
( 7 ) Development of an Effective Biocatalyzed Organic Fertilizer Derived from Gliricidia Sepium Stem Biochar
( 9 ) Monte Carlo Modeling for Aflatoxin B1 Distribution in Pistachio Samples: A Prerequisite for Sampling Plan Validation
( 11 ) Experimental Model Validation and Control of a Lactic Fermentation Process
( 12 ) Runoff Response to Climate Variability: An Analysis of Thika River Basin in Kenya Using Hydrological Simulation Model (Hysim)
( 13 ) Forecasting Goat Milk Production in Turkey Using Artificial Neural Networks and Box-Jenkins Models
( 14 ) Uncertainty Analysis and Calibration of Swat Model for Estimating Impacts of Conservation Methods on Streamflow and Sediment Yield in Thika River Catchment, Kenya
( 15 ) Tabu-Genetic Algorithm-Based Model for Poultry Feed Formulation
( 16 ) Modelling and Optimization of Rice (Oryza sativa L.) Paddy Pre-Treatments for Optimum Chemical Property using Response Surface Methodology
( 19 ) GGE and Ammi Biplot Analysis for Field PEA Yield Stability in Snnpr State, Ethiopia
( 20 ) Growing Jatropha Curcas and Jatropha Gossypiifolia as a Interculture with Sunflower for Control of Meloidogyne Javanica in Egypt
( 22 ) Evaluation of Field Pea (Pisum Sativum L) Genotypes Performance for Yield and Yield Components at Five Growing Environments of Southern Ethiopia
( 23 ) Effect of Disc and Tilt Angles of Disc Plough on Tractor Performance under Clay Soil
( 24 ) Diversity, Use Pattern and Management of Forest Resources in the Eastern Himalaya: A Case Study of Mizoram, India
( 25 ) Urban Area - Review of Protective Forest Management
( 26 ) Soil Respiration, Microbial Biomass and Ratios (Metabolic Quotient and Mbc/Toc) As Quality Soil Indicators in Burnt and Unburnt Aleppo Pine Forest Soils
( 27 ) Effects of Cotton Gin Trash Level on the Performance of Desert Lambs in New Halfa Area, Kassala State, Sudan
( 28 ) The Influence of Probiotics and Antibiotic Growth Promoter on Growth Performance and Hemato-Biochemical Parameters in Broilers
( 29 ) Evaluation of Some Cowpea (Vigna Unguiculata L. [Walp]) Genotypes for Stability Of Performance Over 4 Years
( 30 ) Comparative Growth Analysis and Yield Performance of Glycine Max under Jatropha Curcas Based Agrisilviculture System of Agroforestry in the Northern Part of Bangladesh
( 31 ) Key for First Recorded Dragonfly (Odonata: Anisoptera) Fauna of District Lower Dir, Khyber Pakhtunkhwa, Pakistan
( 32 ) Performance Evaluation and Adaptation of Lentil Varieties in Lemu, Gumur and Damot Gale Districts of Southern Ethiopia
( 33 ) Studies on Seasonal Performance of Newly Developed Bivoltine Silkworm (Bombyx Mori L) Hybrids Tolerant To Bmnpv and Effect of Temperature on Disease Induction
( 34 ) Effect of Whole Inedible Date and Amino Acid Supplementation on Growth Performance of Ross 308 Broiler Chicks
( 35 ) Profitability of Non-Timber Forest Products (NTFPS) Production and Marketing in Zuru Local Government Area, Kebbi State: A Case for Honey
( 36 ) Examination of Oribatid Mites for Cysticercoids of Moniezia Sp
( 37 ) Evaluation of In Vitro Protocols for Elimination of Banana Streak Virus from Tissue Cultured Explants in Banana Seedling Production
( 38 ) Partial Budgeting Analysis of Different Strategies for Management of Insect Pests in Cashew and Mango Orchards in Tanzania
( 39 ) Chemical Analysis of Acacia Ehrenbergiana (Salam) Tree Fruits (Seed and Pods) As Dry Season Supplement For Livestock in Arid and Semi –Arid Lands of Sudan
( 40 ) Genotype X Environment Interaction and Stability Analysis for Yield and Yield Related Traits of Desi-Type Chickpea (Cicer Arietinum L.) In Ethiopia
( 41 ) Effects of Dried Rumen Contents Level in Rations on the Performance of Shugor Desert Sheep in Halfa Elgadeda, Kassala State, Sudan
( 42 ) Estimation of Export Demand Function for Swazi Sugar: A Panel Data Analysis
( 43 ) Analysis of Consumer Willingness to Pay for Genetically Modified Maize Food in Swaziland
( 44 ) Application of Agroforestry Techniques in the Management of Bamboo
( 45 ) Hydrostatic and Hydrodynamic Characteristics of Swimming Animals- an Inspiration for Hybrid Buoyant Aircraft
( 46 ) “Evaluation of Phytochemical Constituents of the Fruits of Cucumis Sativus Linn. For their Hepatoprotective Activity by Molecular Docking Studies”
( 47 ) Rheological Studies of Texture-Modified Chicken Rendang with Tapioca and Sago Starches as Food Thickener for Patients with Dysphagia
( 48 ) Evaluation of the Biomass of the Green Oak (Quercus Rotundifolia) of the Central Middle Atlas: Case of the South Jbel Aoua Forest (Morocco)
( 49 ) Study on Agronomic Evaluation of Tomato (Lycopersicon Esculentum, Mill.) Varieties for Phonological, Growth and Yield Characters
( 50 ) Effect of Jameed Form on the Chemical Composition, Rheological and Microbial Properties
( 51 ) Analysis of Rural Youths Participation in Family Farming in Benue State, Nigeria: Implications for Policy
( 52 ) Performance of Multi-Purpose Cooperatives in the Shiselweni Region of Swaziland
( 53 ) Multi-Environment Variety Testing (Pre-Met) for Irrigated Ecosystem in Rice (Oryza Sativa L.)
( 54 ) A Suction Trap for Sampling Aphids and Aphidophagous Insects in Pecan Trees
( 55 ) Effects of Segregated Early Weaning at 7 Days on Dams Body Condition, Parturition Interval and Offspring Birth Weight and Litter Size in the Agouti (Dasyprocta Leporina) for Intensive Production
( 56 ) An Example of Non-Wood Forest Products in Turkey: Production of Pine Nuts
( 57 ) A New Activity in Turkey's Agricultural Forestry: Truffle Mushroom Cultivation
( 58 ) Heterosis for Nitrogen Fixation and Seed Yield and Yield Components in Chickpea (Cicer arietinum L.)
( 59 ) Evaluation of the Sustainability Criteria of Forest Management in the Municipality Palma Soriano, Santiago De Cuba Province
( 60 ) Prospects of Rural Youths Participation in Family Farming in Benue State, Nigeria: Implications for Policy
( 61 ) Variation of Wood Density in Tropical Rainforest Trees
( 62 ) Forest Ecosystem Service Valuation: A Case of the Kalika Community Forest, Dhading, Central Nepal
( 63 ) Performance Evaluation of Onion (Allium Cepa L.) Varieties at Benatsemay Woreda of South Omo Zone, Ethiopia
( 65 ) Performance of Growing Grasscutters Fed Diets with Varying Levels of Soybean Meal Replaced by Brewers Dried Grain
( 67 ) Optimization of Elephant Foot Yam (Amorphophallus Paeoniifolius) Extract Syrup Formula as a Nutritive Antioxidant Drink
( 68 ) Productivity Analysis of Labor for Use on Potatoes
( 69 ) The Value of Selected Ecosystem Services: A Case Study of East Mau Forest Ecosystem, Kenya
( 70 ) Effects of Different Storage Conditions on Rooting and Shooting Performance of Grapevine (Vitis Vinifera L.) Cuttings in Hydroponic Culture System
( 71 ) Roles of Extension Services in Adoption of Agroforestry Practices among Farmers in South West Nigeria
( 72 ) Influense of Indole Butyric Acid (IBA) for Stenting Propagation of Cut Rose
( 74 ) Patterns of Plant Community Formation and Vegetation Structure in the Afro- Alpine Vegetation of Simien Mountains National Park, Ethiopia
( 75 ) Optimal Rate of Nitrogen and Intra-Row Spacing for Economical Production of Onion under Irrigated Farming System in Eastern Amhara Region, Ethiopia
( 76 ) Risk Factors for the Contamination of Wild Stomoxys niger niger Macquart 1851 (Diptera: Muscidae) with the Foot-and-Mouth Disease Virus
( 77 ) Effect of Planting Date on Growth and Yield of Bambara Groundnut (Vigna subtermnea (L) Verdc.) Varieties in Rainforest Zone of Delta State
( 78 ) Dynamic Shift-Share Analysis of Forestry Industry Structure and Competitiveness in Heilongjiang Province
( 79 ) Socioeconomic Impact of Bagging Technology for Value Addition in Mango in the Chittagong Hill Tracts of Bangladesh
( 80 ) Short-Term Benefits of Grain Legume Fallow Systems on Soil Fertility and Farmers Livelihood in the Humid Forest Zone of Cameroon
( 81 ) Evaluation of Leaf-Water Relation Traits, as Selection Criterion for Developing Drought Resistant Potato (Solanum Tuberosum L.) Genotypes
( 82 ) Comparative Evaluation of Six Different Storage Materials for Long-Term Preservation of Huckleberry (Solanum scabrum) Seeds
( 83 ) Impact of Subclinical Mastitis on Reproductive Performance of Dairy Animals
( 84 ) Evaluation of Bambara Groundnut (Vigna Subterranea (L) Verdc.) Varieties for Adaptation to Rainforest Agroecological Zone of Delta State, Nigeria
( 86 ) Phenotypic Performance Evaluation of Improved Tef (Eragrostis tef L) Genotypes in North Gondar
( 87 ) Principal Component Analysis for the Quantification of Soil Horizon Carbon Stocks in Relation to Soil Bulk Density
( 88 ) Penman and Thornwait Equations for Estimating Reference Evapotranspiration Under Semi-Arid Environment
( 90 ) Color-Based Forest Cover Type Image Segmentation using K-Means Clustering Approach
( 91 ) Comparing the Molluscicidal Action of Metaldehyde, Oxamyl, Potassium Nitrate and a Botanical Insecticide for Managing Limacolaria Spp Infesting Banana Plantations in Cameroon
( 92 ) Market Participation and Food Security Status of Bio-Fortified Cassava Processors in South Western Nigeria
( 93 ) Growth Performance of Kit Rabbits Fed Concentrate Diet Supplemented with Varying Foliage Leaf Meals
( 94 ) Evaluation of Bread Making Performance of Some Wheat Flour Brands Available in Nigerian Markets as Affected by Cassava or Sweet Potato Flour Inclusion
( 96 ) Seedlings Performance of Triplochiton scleroxylon (K. Schum.) under Different Light Intensities and Soil Textural Classes
( 97 ) The Role of Drones as an Enabler for the 4th Agricultural Revolution
( 98 ) Breeding for Weevil (Sitophilus Zeamais Motschulsky) Resistance in Maize (Zea mays L)
( 99 ) Estimation of Ground Water Recharge for Irrigation Water Budget Planning in Kanzenze Swamp
( 100 ) Plant Diversity and Regeneration Potentials in Protected Area Forests of Sierra Leone
( 101 ) Relationship between Human Activities and Deforestation in Karongi District of Rwanda
( 102 ) Temporal Rhythms of Dry Tropical Forest Regeneration under Exploration of Granite-Gnaisse Mining in a Semi-Arid Area
( 103 ) Evaluation of Socio-Economic Impacts of Deforestation in Edo State, Nigeria
( 104 ) Impacts of Rural Community on the Forest Estate in Ugbolu, Oshimili North Local Government Area, Delta State, Nigeria
( 105 ) Construction of Sustainable Frugal Innovations Index for the Agriculture Sector
( 106 ) Bacteriological Quality and Cyanide Contents of Different Cassava Products Processed in Benue State for Use as Food for Man or Feedstock for Animals
( 107 ) Prevalence of Subclinical Mastitis and its Effects on Reproductive Performance in Dairy Cows during the Postpartum Period in Gasabo District, Rwanda
( 108 ) Ecosystem Services Assessment of Mangrove Forest in a Coastal Island of Bangladesh
( 109 ) Constructed Wetland Effluent Irrigation as a Potential Water and Nutrient Source for Vegetables
( 110 ) Households Demand for Branded Tea in Southwest, Nigeria
( 111 ) Floristic Composition and Woody Species Diversity in National Park of Madhupur Tract Under Tangail North Forest Division, Bangladesh
( 112 ) Wood Density of Lower Stratum Trees in a Semi-Deciduous Tropical Forest of Cameroon
( 113 ) Analysis of Arable Farmers Agroforestry Practices in Bokkos Local Government Area, Plateau State, Nigeria
( 114 ) Challenges of Conserving and Co-Managing Khadimnagar National Park and Ratargul Fresh Water Swamp Forest in Bangladesh
( 118 ) Soil-Blade Interaction of a Rotary Tiller: Soil Bin Evaluation
( 120 ) Impact of Abattoir Effluent on Soil Chemical Properties in Yola, Adamawa State, Nigeria
( 122 ) Management of Root-Knot Nematode, Meloidogyne Javanica Infecting Sunflower by Some Composted Plant or Animal Residues as Soil Amendments in Egypt
( 123 ) Status of Integrated Soil Fertility Management (ISFM) in Southwestern Nigeria
( 124 ) Improvement of Maize Productivity (Zea Mays L.) by Mycorrhizal Inoculation on Ferruginous Soil in Center of Benin
( 125 ) Assessment of the Physical and Chemical Properties of Three Contrasting Soils Under Different Land Use Systems
( 126 ) Assessment of Potassium Leaching Behaviour in Selected Soils of Southeastern Nigeria