Probability Distributions Used in 100-Year Return Period of Air-Freezing Index
Publication: Journal of Cold Regions Engineering
Volume 10, Issue 1
Abstract
The air-freezing index (AFI) is a measure of the combined magnitude and duration of air temperatures above and below freezing for a winter season. The 100-y return period of the AFI has been found to be an indicator of the amount of insulation required to protect a building foundation from frost heave and has been used to develop frost-protected shallow foundation (FPSF) design criteria. FPSF has recently been accepted as a change to U.S. building codes with resulting annual construction savings estimated at $300 million nationally for new residential homes. Previous work has found that different probability distributions can produce significantly different estimates of the 100-y return period of the AFI and thus the amount of insulation required in FPSF. To determine which of several probability distributions best fit the AFI sample data, a goodness-of-fit test and graphical analyses have been applied to locations which have long-term and high-quality climate records. Results indicate that the Weibull probability distribution is the best choice for estimating 100-y return periods of the AFI for all U.S. climate regimes.
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References
1.
Farouki, O. (1992). “European foundation designs for seasonally frozen ground.”Monograph 92-1, U.S. Army Corps of Engrs., Cold Regions Res. & Engrg. Lab., Hanover, N.H.
2.
“Frost protected shallow foundations in residential construction.” (1993). Phase I report prepared for the U.S. dept. of housing and urban devel., NAHB Res. Ctr., Upper Marlboro, Md.
3.
“Frost protected shallow foundations in residential construction.” (1994). Phase II final report prepared for the U.S. Dept. of Housing and Urban Devel., NAHB Res. Ctr., Upper Marlboro, Md.
4.
Gumbel, E. J. (1958). Statistics of extremes . Columbia Univ. Press, New York, N.Y., 375.
5.
Heiersted, R. S. (1976). “Frost I Jord (Frost action in ground).” Com. on Frost Action in Soils, Royal Norwegian Council for Sci. and Industrial Res., No. 17, Oslo, Norway (in Norwegian).
6.
Hughes, P. Y., Mason, E. H., Karl, T. R., and Brower, W. A. (1992). “United States Historical Climatology Network daily temperature and precipitation data.”ORNL/CDIAC, NDP-042. Carbon Dioxide Information Anal. Ctr., Oak Ridge Nat. Lab., Oak Ridge, Tenn., 140.
7.
Jones, C. W., Miedema, D. G., and Watkins, J. S. (1982). “Frost action in soil foundations and control of surface structure heaving.”Rep. No. REC-ERC-82-17, Bureau of Reclamation, Denver, Colo., 69.
8.
Kite, G. W. (1977). Frequency of risk analysis in hydrology . Water Resour. Publ., Fort Collins, Colo., 224.
9.
Linsley, R. K., Kohler, M., and Paulus, J. L. H. (1949). Applied hydrology . McGraw-Hill Book Co., New York, N.Y., 689.
10.
Morris, R. A. (1988). “Frost-protected shallow foundations: current state-of-the-art and potential application in the U.S.”Rep. prepared for the Soc. of the Plastics Industry, NAHB Res. Ctr., Upper Marlboro, Md.
11.
Steurer, P. M. (1985). Creation of a serially complete database of high quality daily maximum and minimum temperatures . Nat. Oc. and Atmospheric Admin., Nat. Climatic Data Ctr., Asheville, N.C.
12.
Steurer, P. M. (1989). “Methods used to create an estimate of the 100-year return period of the air-freezing index.”Frost-protected shallow foundation development program—Phase II final report, appendix A. Prepared for the society of the Plastics Industry, NAHB Res. Ctr., Upper Marlboro, Md.
13.
Steurer, P. M., and Crandell, J. H.(1995). “Comparison of methods used to create an estimate of the air-freezing index.”J. Cold Reg. Engrg., 9(2), 64–74.
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Information
Published In
Journal of Cold Regions Engineering
Volume 10 • Issue 1 • March 1996
Pages: 25 - 35
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Mar 1, 1996
Published in print: Mar 1996
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