Probabilistic Analysis of Wood Trusses
Publication: Journal of Structural Engineering
Volume 117, Issue 10
Abstract
A stochastic finite element analysis procedure for metal plate‐connected wood trusses has been developed. The probabilistic analysis uses a deterministic analysis with a metal plate‐connection model that was developed for this study. The structural anlaysis uses beam‐column elements to model the wood members. The metal plate connections are modeled using semi‐rigid connection elements. Results from the deterministic analysis compared well to full‐scale truss tests performed at the Small Homes Council. The stochastic analysis uses first‐order statistical methods to obtain the first four moments of nodal deflections and member end forces. This analysis was compared to Monte Carlo simulation results. The first three statistical moments exhibit a good match to the simulation results. The fourth moment results are inadequate.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bowles, J. E. (1977). Foundation analysis and design. McGraw‐Hill Book Co., New York, N.Y.
2.
Cook, R. D. (1981). Concepts and applications of finite element analysis. 2d Ed., John Wiley and Sons, New York, N.Y.
3.
Deodatis, G. (1990). “Bounds on response variability of stochastic finite element systems.” J. Engrg. Mech., ASCE, 116(3), 565–585.
4.
Der Kiureghian, A. (1985). “Finite element methods in structural safety studies.” Structural safety studies, ASCE, New York, N.Y., 40–52.
5.
“Design specification for metal plate connected wood trusses.” (1985). TPI 85, Truss Plate Institute, Madison, Wis.
6.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A. (1980). Development of a probability based load criterion for American National Standard A58. National Bureau of Standards, Gaithersburg, Md.
7.
Foschi, R. O. (1977). “Analysis of wood diaphragms and trusses, Part II: Trussplate connections.” Can. J. Civ. Engrg., 4(3), 353–362.
8.
Handa, K., and Andersson, K. (1981). “Application of finite element methods in statistical analysis of structures.” Proc. Third Int. Conf. on Structural Safety and Reliability, Elsevier Scientific Publishing Company, Amsterdam, the Netherlands, 409–417.
9.
Hisada, T., and Nakagiri, S. (1981). “Stochastic finite element method developed for structural safety and reliability.” Proc. Third Int. Conf. on Structural Safety and Reliability, Elsevier Scientific Publishing Company, Amsterdam, the Netherlands, 395–408.
10.
Kardara, A., Bucher, C. G., and Shinozuka, M. (1988). “Structural response variability III.” J. Engrg. Mech., ASCE, 115(8), 1726–1747.
11.
Kline, D. E., Woeste, F. E., and Bendtsen, B. A. (1986). “Stochastic model for modulus of elasticity of lumber.” Wood Fiber Sci., 18(2), 228–238.
12.
Littleford, T. W. (1978). Flexural Properties of Dimension Lumber from Western Canada. Report VP‐X‐179, Forintek, Vancouver, B.C., Canada.
13.
Manual of steel construction, load and resistance factor design. (1986). American Institute of Steel Construction, Chicago, Ill.
14.
Maraghechi, K., and Itani, R. Y. (1984). “Influence of truss plate connectors on the analysis of light frame structures.” Wood Fiber Sci., 16(3), 306–322.
15.
Meyers, V. J. (1983). Matrix analysis of structures. Harper and Row, New York, N.Y.
16.
National design specification for wood construction. (1986). National Forest Products Association, Washington, D.C.
17.
Poutanen, T. T. (1988). “Eccentricity in a nail plate joint.” Proc. 1988 Int. Conf. on Timber Engineering, Forest Products Research Society, 266–273.
18.
Poutanen, T. T. (1989). “Analysis of trusses with connector plate joints.” Proc. Second Pacific Timber Engrg. Conf., Auckland, New Zealand, 155–159.
19.
Reynolds, G. M. (1988). “Analysis and testing of toothed metal plate wood truss connections,” thesis presented to Michigan Technological University, at Houghton, Mich., in partial fulfillment of the requirements for the degree of Master of Science in Civil Engineering.
20.
Shinozuka, M., and Deodatis, G. (1988). “Response variability of stochastic finite element systems.” J. Engrg. Mech., ASCE, 114(3), 499–519.
21.
Suddarth, S. K. (1972). “A computerized wood engineering system: Purdue plane structures analyzer.” Research Paper FPL 168, USDA Forest Products Lab., Madison, Wis.
22.
Thurmond, M. B., Woeste, F. E., and Green, D. W. (1984). “Roof loads for reliability analysis of lumber properties data.” Wood Fiber Sci., 16(2), 278–297.
23.
Triche, M. H., and Suddarth, S. K. (1988). “Advanced design of metal plate connector joints.” For. Prod. J., 38(9), 7–12.
24.
Vanmarcke, E. H. (1983). Random fields: Analysis and synthesis. MIT Press, Cambridge, Mass.
25.
Wolfe, R. W., Percival, D. H., and Moody, R. C. (1986). ldquo;Strength and stiffness of light‐frame sloped trusses.” Research Paper FPL 471, USDA Forest Products Lab., Madison, Wis.
26.
Yamazaki, F., Shinozuka, M., and Dasgupta, G. (1988). “Neumann expansion for stochastic finite element analysis.” J. Engrg. Mech., ASCE, 114(8), 1335–1354.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Oct 1, 1991
Published in print: Oct 1991
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.