Estimating Earthwork Volumes of Curved Roadways: Mathematical Model
Publication: Journal of Transportation Engineering
Volume 118, Issue 6
Abstract
The existing (average‐volume) method for estimating earthwork volumes of curved roadways is approximate and is suitable only for application to level terrains. For linear or fluctuating profiles, such as in hilly and mountainous terrains, no exact method is currently available. In this paper, a mathematical model that provides the exact volume of curved roadways with linear profiles between stations is developed. The model, which is based on triple integration, assumes that the ground cross slope is constant between stations. Closed‐form solutions are developed for cut (or fill) and transition sections, where the ground profile changes from cut to fill or vice versa. The application results indicate that the volume of the average‐volume method may deviate greatly from the exact volume and that the mathematical model is also reasonably accurate when the ground cross slope changes moderately.
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References
1.
Anderson, J. M., Mikhail, E. M., and Woolnough, D. F. (1985). Introduction to surveying. McGraw‐Hill, New York, N.Y.
2.
Christian, J., and Caldera, H. (1988). “Earthmoving cost optimization by operational research.” Canadian J. Civ. Engrg., 15(4), 679–684.
3.
Davis, R. E., Foote, F. S., Anderson, J. M., and Mikhail, E. M. (1981). Surveying theory and practice. McGraw‐Hill, New York, N.Y.
4.
Easa, S. M. (1988a). “Earthwork allocations with linear unit costs.” J. Constr. Engrg. and Mgt., ASCE, 114(4), 641–655.
5.
Easa, S. M. (1988b). “Selection of roadway grades that minimize earthwork cost using linear programming.” Tranp. Res., 22A(2), 121–136.
6.
Easa, S. M. (1989). “Simplifying roadway cross sections without reducing volume accuracy.” Candian J. Civ. Engrg., 16(4), 483–488.
7.
Easa, S. M. (1992). “Modified prismoidal method for nonlinear ground profiles.” J. Surveying and Land Information Systems, 52(1), 13–19.
8.
Gates, M., and Scarpa, A. (1969). “Earthwork quantities by random sampling.” J. Constr. Div., ASCE, 95(1), 65–83.
9.
Geometric design standards for Canadian roads and streets. (1986). Roads and Transp. Assoc. of Canada, Ottawa, Ontario, Canada.
10.
Grossman, S. I. (1981). Calculus. Academic Press, New York, N.Y.
11.
Hickerson, T. F. (1964). Route location and design. McGraw‐Hill, New York, N.Y.
12.
Nandgaonkar, S. (1981). “Earthwork transportation allocations: Operations research.” J. Constr. Div., ASCE, 107(2), 373–392.
13.
Oglesby, C., and Hicks, R. (1984). Highway engineering. John Wiley and Sons, New York, N.Y.
14.
A policy on geometric design of highways and streets. (1990). American Assoc. of State Highway and Transp. Officials, Washington, D.C.
15.
Stark, R., and Mayer, R. (1983). Quantitative construction management: Uses of linear optimization. John Wiley and Sons, New York, N.Y.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 118 • Issue 6 • November 1992
Pages: 834 - 849
Copyright
Copyright © 1992 ASCE.
History
Published online: Nov 1, 1992
Published in print: Nov 1992
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