Validity of Distortion‐Energy‐Based Strength Criterion for Timber Members
Publication: Journal of Structural Engineering
Volume 113, Issue 12
Abstract
The validity of an interaction formula, based on distortion energy principles, in the design of nonprismatic glulam members is examined. The distortion energy distributions in various nonprismatic members tested to date are determined by utilizing an orthotropic trapezoidal finite element method of analysis. The distortion energy at the location of failure initiation in all the test specimens was found to be significantly lower than that at the critical location on the tapered edge. In full‐scale members failing in radial tension, the distortion energy at these two locations was found to differ by a factor ranging from 12 to 23, and in those members failing in bending, the factor ranged from 1.5 to 7. In double‐tapered members, the redistribution of stresses caused by the apex was found to result in low distortion energy levels throughout the apex region, and failures triggering in this region cannot be attributed to distortion energy reaching a threshold value. The use of a distortion‐energy‐based strength criterion for nonprismatic glulam members is not supported by the results of this study, nor by the observed ultimate behavior of the members tested to date.
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References
1.
American Institute of Timber Construction (AITC). (1986). Timber construction manual. Wiley Intersciences.
2.
Bathe, K. J., Wilson, E. L., and Peterson, F. E. (1979). “SAP IV, A structural analysis program for static and dynamic response of linear systems.” University of California, Berkeley, Calif., Apr.
3.
Dewey, G. R., et al. (1979). “Analysis and testing of single‐ and double‐tapered glulam beams.” Final Report, American Institute of Timber Construction, Struct. Res. Rpt. 25, Colorado State Univ., Fort Collins, Colo., Nov.
4.
Foschi, R. O. (1971). “Stresses in curved glued‐laminated timber beams: Experimental study.” Forest Products Research Society, Madison, Wisc., Jul.
5.
Fox, S. P. (1973). “A short report on test of ten pitched‐cambered beams.” Western Forest Products Laboratory, Vancouver, British Columbia, Canada, Oct.
6.
Gopu, V. K. A., et al. (1975). “Design and behavior of double‐tapered pitched and curved glulam beams.” Struct. Res. Rpt. No. 16, Colorado State Univ., Fort Collins, Colo.
7.
Gopu, V. K. A., and Goodman, J. R. (1975). “Full scale tests of double‐tapered pitched and curved glulam beams,” J. Struct. Div., ASCE, 101(ST12), 2609–2626.
8.
Gopu, V. K. A., and Goodman, J. R. (1977). “Design of double‐tapered pitched and curved glulam beams.” J. Struct. Div., ASCE, 103(ST10), 1921–1936.
9.
Gutkowski, R. M., Dewey, G., and Goodman, J. R. (1982a). “Full‐scale tests on double‐tapered glulam beams.” J. Struct. Div., ASCE, 108(ST10), 2131–2148.
10.
Gutkowski, R. M., Dewey, G., and Goodman, J. R. (1982b). “Full‐scale tests on single‐tapered glulam members.” J. Struct. Div., ASCE, 108(ST10), 2149–2161.
11.
Ko, O. (1972). “Failure theories for orthotropic materials,” thesis presented to the Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Master of Science.
12.
Norris, C. B. (1960). “Strength of orthotropic materials subjected to combined stresses,” Rpt. No. 1816, Forest Products Laboratory, Madison, Wis.
13.
Vincent, T., and Gopu, V. K. A. (1982). “Design of reinforced pitch‐cambered beams.” Structural Research Report, Louisiana State University, Baton Rouge, La., Aug.
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Copyright © 1987 ASCE.
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Published online: Dec 1, 1987
Published in print: Dec 1987
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