TECHNICAL NOTES
Jun 1, 1989

Three‐Point Method for Estimating Cut and Fill Volumes of Land Grading

Publication: Journal of Irrigation and Drainage Engineering
Volume 115, Issue 3

Abstract

In this paper, a three-point (TP) method for computing cut and fill volumes for triangular and rectangular grids is developed. In comparison to the summation method and the four-point (FP) method, its advantages are: it is applicable to a triangular grid for which no volume estimation method is available; it is applicable to a rectangular grid and therefore allows unequal intervals to be used in establishing the land grading grid; and it provides more accurate estimates of cut and fill volumes and land grading design parameters. Since the TP method is more accurate than the FP method and can be easily implemented in existing land-grading design models, it is recommended for us even when the ground surface within the square grid is a plane.

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References

1.
Anderson, C. L., et al. (1980). “Land shaping requirements.” Design and Operation of Farm Irrigation Systems, M. E. Jensen, ed., Amer. Soc. Agric. Engrs., St. Joseph, Mich., 281–314.
2.
Easa, S. M. (1989). “Direct land grading design of irrigatigon plane surfaces.” J. Irrig. and Drain. Engrg., ASCE, 115(2), 285–301.
3.
Grossman, S. I. (1981). Calculus, Academic Press, New York, N.Y.
4.
National Engineering Handbook, (1970). Section 15, Irrigation: Chapter 12, Land Leveling, U.S. Dept. of Agric., Soil Conserv. Service, Washington, D.C.
5.
Scaloppi, E. J., and Willardson, L. S. (1986). “Practical land grading based on least squares.” J. Irrig. and Drain. Engrg., ASCE, 112(2), 98–109.
6.
Shih, S. F., Kriz, G. J., and Sowell, R. S. (1973). “Land forming design for nonrectangular fields.” Trans. of Amer. Soc. Agric. Engrg., 16(4), 810–813.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 115Issue 3June 1989
Pages: 505 - 511

History

Published online: Jun 1, 1989
Published in print: Jun 1989

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Authors

Affiliations

Said M. Easa, Member, ASCE
Prof., Dept. of Civ. Engrg., Lakehead Univ., Thunder Bay, Ontario, Canada, P7B 5E1

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