Reliability-Based Design Snow Loads. II: Reliability Assessment and Mapping Procedures
Publication: Journal of Structural Engineering
Volume 143, Issue 7
Abstract
This paper describes the development of reliability-targeted ground snow load maps for use in building (roof) design. The proposed procedures aim to ensure that structures designed achieve a target safety index, taken to be 3.0 as defined in ASCE 7 (ASCE 2010). When applied to the U.S. state of Colorado, the reliability-targeted mapping procedure shows that to achieve this target reliability index, design ground snow loads may need to be larger or smaller than the 50-year return period load that ASCE 7 currently stipulates for design, depending on the site and winter climate conditions at that site. Sites with larger coefficients of variation in the annual maximum snow load (in Colorado, lower-altitude sites) generally need design loads larger than the 50-year values. The paper also advances snow reliability assessment procedures through the proposal of a new model for the ground-to-roof conversion factor needed for quantifying roof snow loads as a function of ground snow loads. Spatial smoothing and altitude-dependent mapping procedures are described.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This paper summarizes work done by the Structural Engineers Association of Colorado Snow Loads Committee. Other members of the committee have contributed extensively to the study, including Richard Cunningham and Robert Pattillo. Dania Hussain and Derek Kozak also contributed. Early analyses used in developing this research were supported in part by the National Science Foundation through Grant No. 0926680. Any opinions, findings, conclusions, or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the National Science Foundation. Support for this work provided by J. R. Harris & Co. is also gratefully acknowledged.
References
ASCE. (2010). “Minimum design loads for buildings and other structures.” ASCE/SEI 7-10, Reston, VA.
Bartlett, F. M., Dexter, R. J., Graeser, M. D., Jelinek, J. J., Schmidt, B. J., and Galambos, T. V. (2003). “Updating standard shape material properties database for design and reliability.” Eng. J., 40(1), 2–14.
Bennett, R. M. (1988). “Formulations for probability of progressive collapse.” Struct. Saf., 5(1), 67–77.
Blanchet, J., and Davison, A. C. (2011). “Spatial modeling of extreme snow depth.” Ann. Appl. Stat., 5(3), 1699–1725.
Blanchet, J., and Lehning, M. (2010). “Mapping snow depth return levels: Smooth spatial modeling versus station interpolation.” Hydrol. Earth Syst. Sci., 14(12), 2527–2544.
Burn, D. H. (1990). “An appraisal of the ‘region of influence’ approach to flood frequency analysis.” Hydrol. Sci. J., 35(2), 149–165.
City and County of Denver. (2011). “Amendments to the building code for the City and County of Denver.” Denver.
Claus, B. R., Russell, S. O., and Schaerer, P. (1984). “Variation of ground snow loads with elevation in southern British Columbia.” Can. J. Civ. Eng., 11(3), 480–493.
DeBock, D. J., Liel, A. B., Harris, J. R., Ellingwood, B. R., and Torrents, J. M. (2017). “Reliability-based design snow loads: I. Site-specific probability models for ground snow loads.” J. Struct. Eng., 04017046.
Durmaz, M., and Daloğlu, A. T. (2006). “Frequency analysis of ground snow data and production of the snow load map using geographic information system for the eastern Black Sea region of Turkey.” J. Struct. Eng., 1166–1177.
Ellingwood, B., MacGregor, J. G., Galambos, T. V., and Cornell, C. A. (1982). “Probability based load criteria: Load factors and load combinations.” J. Struct. Div., 108(5), 978–997.
Ellingwood, B., and Redfield, R. (1983). “Ground snow loads for structural design.” J. Struct. Eng., 950–964.
Erxleben, J., Elder, K., and Davis, R. (2002). “Comparison of spatial interpolation methods for estimating snow distribution in the Colorado Rocky Mountains.” Hydrol. Process., 16(18), 3627–3649.
Fan, J., and Gijbels, I. (1996). Local polynomial modeling and its applications: Monographs on statistics and applied probability, Vol. 66, CRC Press, London.
Galambos, T. V., and Ravindra, M. K. (1978). “Properties of steel for use in LRFD.” J. Struct. Div., 104(9), 1459–1468.
Geis, J., Strobel, K., and Liel, A. (2011). “Snow-induced building failures.” J. Perform. Constr. Facil., 26(4), 377–388.
Høibø, H. (1988). “Snow load on gable roofs—Results from snow load measurements on farm buildings in Norway.” Proc., 1st Int. Conf. on Snow Engineering, U.S. Army Corps of Engineers, Santa Barbara, CA.
Høibø, H. (1989). “Form factors for snow load on gable roofs: Extending use of snow load data from inland districts to wind exposed areas.” 11th Int. Congress on Agricultural Engineering, A.A. Balkema, Rotterdam, Netherlands.
Hong, H. P., and Ye, W. (2014). “Analysis of extreme of ground snow loads for Canada using snow depth records.” Nat. Hazards, 73(2), 355–371.
Kennedy, D. J. L., and Aly, M. G. (1980). “Limit states design of steel structures-performance factors.” Can. J. Civ. Eng., 7(1), 45–77.
Kozak, D. L., and Liel, A. B. (2015). “Reliability of steel roof structures under snow loads.” Struct. Saf., 54, 46–56.
Lee, K. H., and Rosowsky, D. V. (2005). “Site-specific snow load models and hazard curves for probabilistic design.” Nat. Hazard. Rev., 6(3), 109–120.
Lind, N. C. (1977). “Rationalizations of sections properties tables.” J. Struct. Div., 103(3), 649–662.
Luco, N., Ellingwood, B. R., Hamburger, R. O., Hooper, J. D., Kimball, J. K., and Kircher, C. (2007). “Risk-targeted versus current seismic design maps for the conterminous United States.” SEAOC 2007 Convention Proc., Structural Engineers Association of California, Sacramento, CA.
Melchers, R. E. (1987). Structural reliability, Horwood, New York.
Mo, H. M., Fan, F., and Hong, H. P. (2015). “Snow hazard estimation and mapping for a province in northeast China.” Nat. Hazards, 77(2), 543–558.
Newark, M. J., Welsh, L. E., Morris, R. J., and Dnes, W. V. (1989). “Revised ground snow loads for the 1990 National Building Code of Canada.” Can. J. Civ. Eng., 16(3), 267–278.
O'Rourke, M. J., Redfield, R., and von Bradsky, P. (1982). “Uniform snow loads on structures.” J. Struct. Div., 108(12), 2781–2798.
O’Rourke, M., and Wikoff, J. (2014). “Snow related roof collapse during the winter of 2010–2011: Implications for building codes.” ASCE, Reston, VA.
O’Rourke, M. J., and Stiefel, U. (1983). “Roof snow loads for structural design.” J. Struct. Eng., 1527–1537.
Robert, C. P. (2004). Monte Carlo methods, Wiley, Hoboken, NJ.
Schmidt, B. J., and Bartlett, F. M. (2002). “Review of resistance factor for steel: Resistance distributions and resistance factor calibration.” Can. J. Civ. Eng., 29(1), 109–118.
SEAC (Structural Engineers Association of Colorado). (1971). “Snow load design data for Colorado.” Lakewood, CO.
SEAC (Structural Engineers Association of Colorado). (2007). “Colorado ground snow loads.” Snow Load Committee, Lakewood, CO.
SEAC (Structural Engineers Association of Colorado). (2016). “Colorado design snow loads.” Snow Load Committee, Lakewood, CO.
Surfer version 12 [Computer software]. Golden Software, Inc., Golden, CO.
Takahashi, T., and Ellingwood, B. R. (2005). “Reliability-based assessment of roofs in Japan subjected to extreme snows: Incorporation of site-specific data.” Eng. struct., 27(1), 89–95.
Thiis, T. K., and O’Rourke, M. (2015). “Model for snow loading on gable roofs.” J. Struct. Eng., 141(12), 04015051.
Information & Authors
Information
Published In
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jan 4, 2016
Accepted: Oct 24, 2016
Published online: Mar 3, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 3, 2017
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.