Estimating Pit Excavation Volume Using Nonlinear Ground Profile
Publication: Journal of Surveying Engineering
Volume 114, Issue 2
Abstract
The formula used in surveying applications for estimating excavation volume for a rectangular pit assumes that the ground profile between the grid points is linear. In this paper, formulas that consider a nonlinear ground profile (NLP) between the grid points are presented. The NLP formulas are based on an extension of the known Simpson 1/3 and 3/8 formulas for calculating area of a region with irregular boundary. For an even number of intervals in each direction of the rectangular grid, the NLP formula is based on Simpson 1/3 formula. For an odd number of intervals in one or both directions of the rectangular grid, the NLP formula is based on a combination of Simpson 1/3 and 3/8 formulas. The NLP formulas are simple and amenable to computations by calculators or computers. The formulas should provide a better accuracy than the linear profile formula currently in use. Application of the NLP formulas is illustrated by a numerical example.
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References
1.
Burden, R., Faires, J., and Reynolds, A. (1981). Numerical analysis. Prindle, Weber and Schmidt, Boston, Mass.
2.
Davis, R., Foote, F., Anderson, J., and Mikhail, E. (1981). Surveying: Theory and practice. McGraw‐Hill Book Co., New York, N.Y.
3.
Demidovich, B., and Maron, I. (1970). Computational mathematics. Mir Publishers, Moscow, (in Russian; G. Yankovsky, translator).
4.
Schmidt, M., and Wong, K. (1985). Fundamentals of surveying. Prindle, Weber and Schmidt, Boston, Mass.
Information & Authors
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Published In
Journal of Surveying Engineering
Volume 114 • Issue 2 • May 1988
Pages: 71 - 83
Copyright
Copyright © 1988 ASCE.
History
Published online: May 1, 1988
Published in print: May 1988
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