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Journal of Optimization Theory and Applications

, Volume 26, Issue 2, pp 291–303 | Cite as

Optimal design of pitched laminated wood beams

  • M. Avriel
  • J. D. Barrett
Contributed Papers

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.

Key Words

Geometric programming signomial programming structural design optimal engineering design 

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References

  1. 1.
    Fox, S. P.,Minimum-Depth of Double-Tapered Pitched Glued-Laminated Beams, Information Report VP-X-73, Western Forest Products Laboratory, Vancouver, Canada.Google Scholar
  2. 2.
    Barrett, J. D., Forschi, R. O., andFox, S. P.,Perpendicular-to-Grain Strength of Douglas Fir. Canadian Journal of Civil Engineering, Vol. 2, pp. 50–57, 1975.Google Scholar
  3. 3.
    Laminated Timber Institute of Canada,Timber Design Manual, Ottawa, Canada, 1973.Google Scholar
  4. 4.
    Canadian Standards Association,Code of Recommended Practice for Engineering Design in Timber, Standard CSA-086, Rexdale, Ontario, Canada, 1970.Google Scholar
  5. 5.
    Avriel, M., andWilde, D. J.,Optimal Condenser Design by Geometric Programming, I & EC Process Design and Development, Vol. 6, pp. 256–262, 1967.Google Scholar
  6. 6.
    Avriel, M., Dembo, R. S., andPassy, U.,Solution of Generalized Geometric Programs, International Journal of Numerical Methods in Engineering, Vol. 9, pp. 149–168, 1975.Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • M. Avriel
    • 1
  • J. D. Barrett
    • 2
  1. 1.Faculty of Industrial and Management EngineeringTechnion, Israel Institute of TechnologyHaifaIsrael
  2. 2.Western Forest Products LaboratoryVancouverCanada

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