Abstract
The optimal design of a pitched laminated wood beam is considered. An engineering formulation is given in which the volume of the beam is minimized. The problem is then reformulated and solved as a generalized geometric (signomial) program. Sample designs are presented.
This research was partially supported by the Office of Naval Research under Contracts Nos. N00014-75-C-0267 and N00014-75-C-0865; by the US Energy Research and Development Administration Contract No. E(04-3)-326 PA-18; and by the National Science Foundation, Grant No. DCR75-04544 at Stanford University. This work was carried out during the first author’s stay at the Management Science Division of the University of British Columbia and the Systems Optimization Laboratory of Stanford University. The authors are indebted to Mr. S. Liu and Mrs. M. Ratner for their assistance in performing the computations.
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References
Fox, S. P., Minimum-Depth of Double-Tapered Pitched Glued-Laminated Beams, Information Report VP-X-73, Western Forest Products Laboratory, Vancouver, Canada.
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Avriel, M, Dembo, R. S., and Passy, U., Solution of Generalized Geometric Programs, International Journal of Numerical Methods in Engineering, Vol. 9, pp. 149–168, 1975.
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© 1980 Plenum Press, New York
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Avriel, M., Barrett, J.D. (1980). Optimal Design of Pitched Laminated Wood Beams. In: Avriel, M. (eds) Advances in Geometric Programming. Mathematical Concepts and Methods in Science and Engineering, vol 21. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8285-4_21
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DOI: https://doi.org/10.1007/978-1-4615-8285-4_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-8287-8
Online ISBN: 978-1-4615-8285-4
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