Mass Angle of Repose of Open-Graded Rock Riprap
Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 7
Abstract
Mass angle of repose (that is, the angle at which a mass of sliding particles will come to rest) is a fundamental material property that is needed to design drainage channel linings composed of open-graded riprap stone, also called dumped rock riprap, which protect earthen slopes from erosion by flowing water. Multiple regression analysis of measurements at 74 stockpiles of dumped natural and crushed rock shows the angle to depend primarily on rock particle angularity and, to lesser extents, on the gradation and the median particle diameter of the stone mixture, the angle increasing with angularity, mixture nonuniformity, and particle size. Uncomplicated expressions are developed from the data to calculate the expected mass angle of repose of open-graded rock riprap along with prediction intervals.
Get full access to this article
View all available purchase options and get full access to this article.
References
Allen, J. R. L. (1969). Physical processes of sedimentation, American Elsevier Publishing Company, New York.
Allen, J. R. L. (1970a). “The avalanching of granular solids on dunes and similar slopes.” J. Geol., 78(3), 326–351.
Allen, J. R. L. (1970b). “The angle of initial yield of haphazard assemblages of equal spheres, in bulk.” Geol. Mijnbouw, 49(1), 13–22.
Allen, J. R. L. (1985). Principles of physical sedimentology, George Allen and Unwin, London.
Barrett, P. J. (1980). “The shape of rock particles, a critical review.” Sedimentology, 27, 291–303.
Benn, D. I., and Ballantyne, C. K. (1993). “The description and representation of particle shape.” Earth Surf. Processes Landforms, 18(7), 665–672.
Blair, T. C., and McPherson, J. G. (1999). “Grain-size and textural classification of coarse sedimentary particles.” J. Sediment. Res., 69(1), 6–19.
Blott, S. J., and Pye, K. (2008). “Particle shape: A review and new methods of characterization and classification.” Sedimentology, 55(1), 31–63.
Brown, S. A., and Clyde, E. S. (1989). “Design of riprap revetment.” Hydraulic Engineering Circular No. 11, Federal Highway Administration, U.S. Dept. of Transportation, McLean, VA.
Carrigy, M. A. (1970). “Experiments on the angles of repose of granular materials.” Sedimentology, 14(3/4), 147–158.
Chen, Y. H., and Cotton, G. K. (1988). “Design of roadside channels with flexible linings.” Publication No. FHWA-IP-87-7, Hydraulic Engineering Circular No. 15, U.S. Dept. of Transportation, Federal Highway Administration, McLean, VA.
Fowler, R. T., and Chodziesner, W. B. (1959). “The influence of variables upon the angle of friction of granular materials.” Chem. Eng. Sci., 10(3), 157–162.
Froehlich, D. C., and Benson, C. A. (1996). “Sizing dumped rock riprap.” J. Hydraul. Eng., 122(7), 389–396.
Julien, P. Y. (2002). River mechanics, Cambridge Univ. Press, Cambridge, United Kingdom.
Kellerhals, R., and Bray, D. I. (1971). “Sampling procedures for coarse fluvial sediments.” J. Hydraul. Div., 97(8), 1165–1180.
Krumbein, W. C. (1941). “Measurement and geological significance of shape and roundness of sedimentary particles.” J. Sediment. Petrol., 11(1), 64–72.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
National Stone, Sand and Gravel Association. (1991). “Quarried stone for erosion and sediment control.” Alexandria, VA.
Maynord, S. T., Ruff, J. F., and Abt, S. A. (1989). “Riprap design.” J. Hydraul. Eng., 115(7), 937–949.
Metcalf, J. R. (1966). “Angle of repose and internal friction.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 3(2), 155–162.
Miller, R. L., and Byrne, R. J. (1966). “The angle of repose for a single grain on a fixed rough bed.” Sedimentology, 6(4), 303–314.
Montgomery, D. C., and Peck, E. A. (1982). Introduction to linear regression analysis, Wiley, New York.
Reynolds, O. (1885). “On the dilatancy of media composed of rigid particles in contact, with experimental illustrations.” Philos. Mag., 20(6), 469–481.
Richardson, E. V., Simons, D. B., and Lagasse, P. F. (2001). “River engineering for highway encroachments—Highways in the river environment.” Publication No. FHWA/NHI-01-004, National Highway Institute, Washington, D.C.
Simons, D. B. (1957). “Theory and design of stable channels in alluvial material.” Unpublished Ph.D. dissertation, Dept. of Civil Engineering, Colorado State Univ., Fort Collins, CO.
Simons, D. B., and Şentürk, F. (1977). Sediment transport technology, Water Resources Publications, Fort Collins, CO.
Statham, I. (1974). “The relationship of porosity and angle of repose to mixture proportions in assemblages of different sized materials.” Sedimentology, 21(1), 149–162.
Statham, I. (1977). Earth surface sediment transport, Clarendon Press, Oxford, United Kingdom.
Ulrich, T. (1987). “Stability of rock protection on slopes.” J. Hydraul. Eng., 113(7), 879–891.
U.S. Army Corps of Engineers (USACE). (1990). “Construction with large stone.” Engineering Manual No. 1110-2-2302, Dept. of the Army, Washington, D.C.
U.S. Army Corps of Engineers (USACE). (1994). “Hydraulic design of flood control channels.” Engineering Manual No. 1110-2-1601, Dept. of the Army, Washington, D.C.
U.S. Bureau of Reclamation. (1990). “Earth manual, Part 2, 3rd ed. Materials Engineering Branch, Research Laboratory Services Div., Denver.
Van Burkalow, A. (1945). “Angle of repose and angle of sliding friction: an experimental study.” Geol. Soc. Am. Bull., 56(6), 669–707.
Vanoni, V. A. ed. (1977). “Sedimentation engineering.” ASCE manuals and reports on engineering practice no. 54, American Society of Civil Engineers, Reston, VA
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jul 12, 2010
Accepted: Oct 21, 2010
Published online: Jun 15, 2011
Published in print: Jul 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.