TECHNICAL PAPERS
Dec 1, 1987

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

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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.
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Foschi, R. O. (1971). “Stresses in curved glued‐laminated timber beams: Experimental study.” Forest Products Research Society, Madison, Wisc., Jul.
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Fox, S. P. (1973). “A short report on test of ten pitched‐cambered beams.” Western Forest Products Laboratory, Vancouver, British Columbia, Canada, Oct.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 12December 1987
Pages: 2475 - 2487

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Published online: Dec 1, 1987
Published in print: Dec 1987

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Vijaya K. A. Gopu, Member, ASCE
Prof., Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA 70803

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