TECHNICAL PAPERS
Apr 1, 1988

Design Aspects of Pitched and Tapered Glued Laminated Beams

Publication: Journal of Structural Engineering
Volume 114, Issue 4

Abstract

The current AITC recommended procedure for the design of pitch and tapered curved (PTC) glulam beams is an iterative one that requires initial approximation of certain parameters. Trial designs are checked for compliance with the design criteria (i.e., allowable stresses, deflections, and dimensional limits), and revisions are made as necessary. The resulting design is structurally satisfactory, but generally the procedure does not converge to the most efficient design based on material usage. In the present study the design of a PTC glulam beam is formulated as a structural optimization problem. Minimization of material volume is the design objective. Solutions are obtained for representative values of top slope, span length, superimposed loads, and allowable stresses. The results are intended to: (1) Evaluate certain AITC recommendations regarding trial values of parameters; (2) suggest better approximations where necessary; and (3) identify the design constraints controlling the optimum solution. In addition, several shortcomings of the current procedure are identified, and recommendations are made for correcting them.

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References

1.
American Institute of Timber Construction. (1985). Timber construction manual. 3rd Ed., John Wiley and Sons, New York, N.Y.
2.
Fiacco, A. V., and McCormick, G. P. (1968). Nonlinear programming: sequential unconstrained minimization techniques, John Wiley and Sons, Inc., New York, N.Y.
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Gopu, V. K. A. (1982). “Pitch chambered glulam beam deflections.” Technical Note 4a, American Institute of Timber Construction, Denver, Colo.
4.
Gopu, V. K. A., and Goodman, J. R. (1974). “Analysis of double‐tapered pitched and curved laminated beam section.” Wood Sci., 7(1), 52–60.
5.
Gopu, V. K. A., and Goodman, J. R. (1975). “Full scale tests on double‐tapered pitched and curved glulam beams.” J. Struct. Div., ASCE, 101(ST12), 2609–2626.
6.
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.
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Kirsch, U. (1981). Optimum structural design. McGraw‐Hill Book Co., New York, N.Y.
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U.S. Dept. of Agriculture (1954). “Fabrication and design of glued laminated wood structural members.” Technical Bulletin No. 1069, U.S. Dept. of Agriculture, Washington, D.C.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 4April 1988
Pages: 869 - 884

History

Published online: Apr 1, 1988
Published in print: Apr 1988

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Authors

Affiliations

C. Dale Buckner
Assoc. Prof., Dept. of Civ. Engrg., Virginia Military Inst., Lexington, VA 24450
Vijaya K. A. Gopu, Members, ASCE
Prof., Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA 70803

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