Optimal design of beams for prescribed compliance under alternative loads

  • J. M. Chern
  • W. Prager
Contributed Papers


A global optimality condition is established for minimum-weight design of sandwich beams with elementwise constant cross section for prescribed compliances in alternative states of loading. This condition requires a nonnegative linear combination of the mean-square curvatures of an element in the considered states of loading to have the same value for all elements. The use of the condition in the determination of the minimum-weight design is illustrated by examples.


Optimal Design Alternative State Sandwich Beam Minimum Potential Energy Nonnegative Constant 
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  1. 1.
    Sheu, C. Y., andPrager, W.,Minimum-Weight Design with Piecewise Constant Specific Stiffness, Journal of Optimization Theory and Applications, Vol. 2, No. 3, 1968.Google Scholar
  2. 2.
    Prager, W., andShield, R. T.,Optimal Design of Multi-Purpose Structures, International Journal of Solids and Structures, Vol. 4, No. 3, 1968.Google Scholar

Copyright information

© Plenum Publishing Corporation 1970

Authors and Affiliations

  • J. M. Chern
    • 1
  • W. Prager
    • 1
  1. 1.Division of EngineeringBrown UniversityProvidence

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