TECHNICAL PAPERS
Jan 15, 2003

Estimating Earthwork Volumes of Curved Roadways: Simulation Model

Publication: Journal of Surveying Engineering
Volume 129, Issue 1

Abstract

Earthwork volumes represent the basis on which contractors are paid for highway construction. The earthwork volumes between successive roadway stations are also used in determining the economic distribution of earthwork. It is essential that the volumes should be accurately computed because disagreements related to earthwork volumes often cause the owner and the contractor to look to the courts for settlement. The traditional model for estimating earthwork volumes of curved roadways (flat horizontal curves) is suitable only for level terrains. For moderately fluctuating terrains, a mathematical model has been developed. This model, however, assumes that the longitudinal ground profile between successive stations is linear and the ground cross slope is constant. The mathematical model is not accurate for greatly fluctuating profiles, such as those in hilly and mountainous terrains. This paper develops a model for estimating earthwork volumes for such profiles using Monte Carlo simulation. The paper illustrates how a completely deterministic problem can be solved using a probabilistic simulation. The results show that the simulation model improves the estimates of earthwork volumes compared to traditional and mathematical models.

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References

Anderson, J. M., Hikhail, E. M., and Woolnough, D. F. (1985). Introduction to surveying, McGraw-Hill, New York.
Christian, J., and Caldera, H.(1988). “Earthmoving cost optimization by operational research.” Can. J. Civ. Engr., 15(4), 679–684.
Dubois, P. F. (1977). “Volume calculation and geometry checking in a Monte Carlo transport code.” Rep. UCID-17522, Computation Dep., Lawrence Livermore Laboratory, Livermore, Calif.
Easa, S.(1995). “Estimating line-segment reliability using Monte Carlo simulation.” J. Surveying and Land Information Systems, 55(3), 136–141.
Easa, S. M.(1986). “Development of a simulation model for the port of Thunder Bay.” Can. J. Civ. Engr., 13(1), 59–65.
Easa, S. M.(1987). “Approximate queueing models for analyzing harbour terminal operations.” Transp. Res., 21B(4), 269–286.
Easa, S. M.(1988). “Selection of roadway grades that minimize earthwork costs using linear programming.” Transp. Res., 22A(2), 121–136.
Easa, S. M.(1992a). “Estimating earthwork volumes of curved roadways: Mathematical model.” J. Transp. Eng., 118(6), 834–849.
Easa, S. M.(1992b). “Modified prismoidal method for nonlinear ground profiles.” J. Surveying and Land Information Systems, 52(1), 13–19.
Ignall, E. J., Kolesar, P., and Walker, W. E.(1978). “Using simulation to develop and validate analytical models: Case studies.” Oper. Res., 26(2), 237–253.
Moffitt, F. H., and Bossler, J. D. (1998). Surveying, Addison-Wesley, Reading, Mass.
Mooney, C. Z. (1997). Monte Carlo simulation, Sage, Thousand Oaks, Calif.
Stark, R., and Mayer, R. (1983). Quantitative construction management: Uses of linear optimization, Wiley, New York.
Walpole, R. E., Myers, R. H., and Myers, S. L. (1998). Probability and statistics for engineers and scientists, Prentice-Hall, Upper Saddle River, N.J.
Wright, J. F. (2001). “Monte Carlo risk analysis.” 〈http://www.drjfwright.com/d/tramctheory.html〉.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 129Issue 1February 2003
Pages: 19 - 27

History

Received: Jul 17, 2001
Accepted: Oct 26, 2001
Published online: Jan 15, 2003
Published in print: Feb 2003

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Authors

Affiliations

Said M. Easa, M.ASCE
Professor and Chair, Dept. of Civil Engineering, Ryerson Univ., Toronto, ON M5B 2K3, Canada.

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