Pyramid Frustum Formula for Computing Volumes at Roadway Transition Areas
Publication: Journal of Surveying Engineering
Volume 117, Issue 2
Abstract
Intermediate transition and sidehill cross sections are normally established when the roadway section changes from cut to fill or vice versa. The average-end-area (AEA) and pyramid formulas are employed in practice for computing the cut and fill volumes. This technical note proposes a pyramid frustum (PF) formula that can be used instead of the AEA formula. Because the volumes formed in the transition areas are frustum-like solids, the PF formula is more accurate than the AEA formula. The proposed formula, which is a function of only the end areas and the distance between them, is as simple as the AEA formula. The PF formula should be of interest to the highway engineers concerned with achieving greater accuracy in volume computations.
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References
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Anderson, J. M., Mikhail, E. M., and Woolnough, D. E. (1985). Introduction to surveying. McGraw‐Hill Ryerson, New York, N.Y.
2.
Grazda, E. E., Brenner, M., and Minrath W. R. (1966). Handbook of applied mathematics. Van Nostrand Company, Princeton, N.J.
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Moffit, F. H., and Bouchard, H. (1987). Surveying. Harper and Row, New York, N.Y.
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Schmidt, M. O., and Wong, K. W. (1985). Fundamentals of surveying. Harper and Row, New York, N.Y.
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Wolf, P. R., and Brinker, R. C. (1989). Elementary surveying. Harper and Row, New York, N.Y.
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 117 • Issue 2 • May 1991
Pages: 98 - 101
Copyright
Copyright © 1991 ASCE.
History
Published online: May 1, 1991
Published in print: May 1991
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