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Survey of optimum structural design

Some of the important design techniques and principles are discussed by the author, as well as a number of significant results and implications

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Abstract

Minimum-weight structural designs have been developed for various types of behavior specifications including stiffness, elastic and plastic strength, and stability. Some of the important design techniques and principles are discussed together with a number of significant results and implications.

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References

  1. Galilei, G., “Discorsi e Dimostrazioni Matematiche,” Leiden (1638).

  2. Timoshenko, S., “Strength of Materials,”210, D. Van Nostrand Co., Inc., New York, 3rd. ed. (April 1955).

    Google Scholar 

  3. Blasius, H., “Träger kleinster Durchbeigung und Stäbe grösster Knickfestigkeit bei gegebenem Materialverbrauch,”Zeitschrift für Mathematik und Physik,62,182–197 (1914).

    Google Scholar 

  4. Opatowski, I., “Cantilever Beams of Uniform Strength,”Quart. Appl. Math.,3(1),76–81 (1945).

    Google Scholar 

  5. Gross, W. A. andLi, J. P., “Beams of Uniform Strength Subjected to Uniformly Distributed Loading,”Jnl. Appl. Mech.,24(1),105–108 (March 1957).

    Google Scholar 

  6. Drucker, D. C., and Shield, R. T., “Design for Minimum Weight,” Proc. 9th Intl. Congr. Appl. Mech., Brussels, 1956.

  7. Heyman, J., “On the Absolute Minimum Weight Design of Framed Structures,”Quart. Jnl. Mech. and Appl. Math.,12,314 (1959).

    Google Scholar 

  8. Maxwell, C., Scientific Papers II, Camb. Univ. Press, 175–177 (1890).

  9. Michell, A. G. M., “The Limit of Economy of Material in Frame-Structures,”Phil. Mag., Ser. 6,8(47),589–597,London (November 1904).

    Google Scholar 

  10. Cox, H. L., “The Theory of Design,” Aeronautical Rsch. Coun. 19791, January 1958.

  11. Cox, H. L., “Structures of Minimum Weight: The Basic Theory of Design Applied to the Beam Under Pure Bending,” Aeronautical Research Council 19785, January 1958.

  12. Hemp, W. S., “Theory of Structural Design,” AGARD Report 214, October 1958.

  13. Chan, A. S. L., “The Design of Michell Optimum Structures,” College of Aeronautics, Cranfield Report No. 142, December 1960.

  14. Levy, Maurice, “La statique graphique et ses applications aux constructions,” 1873.

  15. Drymael, J., “The Design of Trusses and Its Influence on Weight and Strength,”Royal Aero. Soc. Jnl., (46),297–308 (1942).

    Google Scholar 

  16. Sved, G., “The Minimum Weight of Certain Redundant Structures,”Australian Jnl. Appl. Science,5,1–9 (1954).

    Google Scholar 

  17. Wasiutynski, Z. andBrandt, A., “The Present State of Knowledge in the Field of Optimum Design of Structures,”Appl. Mech. Rev. 16(5),341–350 (1963).

    Google Scholar 

  18. Mroz, Z., “On a Problem of Minimum Weight Design,”Quart. Appl. Math.,19,127 (1961).

    Google Scholar 

  19. Megarefs, G. J., andHodge, P. G., Jr., “Singular Cases in the Optimum Design of Frames,”Ibid.,21 (2),91–103 (July 1963).

    Google Scholar 

  20. Drucker, D. C. andShield, R. T., “Bounds on Minimum Weight Design,”Ibid.,15,269–281 (1957).

    Google Scholar 

  21. Shield, R. T., “Optimum Design Methods for Structures,” Dept. of the Navy, Cont. DA-19-020-ORD-5124, Tech. Report 1, DDC No. AD 237 534, April 1940.

  22. Shield, R. T., “On the Optimum Design of Shells,”Jnl. Appl. Mech.,27,316–322 (1960).

    Google Scholar 

  23. Onat, E. T., Schumann, W., andShield, R. T., “Design of Circular Plates for Minimum Weight,”Z. Ang. Math. Phys.,8,485–499 (1957).

    Google Scholar 

  24. Foulkes, J., “Minimum Weight Design of Structural Frames,”Proc. Roy. Soc., London, Eng.,233,Ser. A,482–494 (1954).

    Google Scholar 

  25. Prager, W., “Minimum-Weight Design of a Portal Frame,” Proc. ASCE,82,paper 1073 (October 1956).

  26. Wagner, H., “Remarks on Airplane Struts and Girders Under Compressive and Bending Stresses. Index Values,” NACA TM 500, 1929.

  27. Shanley, F. R., “Weight-Strength Analysis of Aircraft Structures,”Dover Publications Inc., New York, 1960.

    Google Scholar 

  28. Gerard, G., “Minimum Weight Analysis of Compression Structures,”New York University Press, New York, 1956.

    Google Scholar 

  29. Micks, W. R., “Bibliography of Literature on Optimum Design of Structures and Related Topics,” Rand Corp. Rsch. Memo. RM-2304, DDC No. AD 215771, December 1958.

  30. Barnett, R. L., “Selection of Material in Minimum Weight Design,” ASME Paper No. 63-MD-25, May 1963.

  31. Clausen, T., “Uber die Form architektonischer Saulen,”Bltn. physico-mathematiques et Astronumiques, Tome 1, 1849–1853, 279–294, St. Petersburg (1853).

    Google Scholar 

  32. Keller, J. B., “The Shape of the Strongest Column,”Archive for Rational Mechanics and Analysis,5,275–285 (1960).

    Google Scholar 

  33. Barnett, R. L., “Minimum Weight Design of Beams for Deflection,”Trans. ASCE,128,Pt. 1,221–255 (1963).

    Google Scholar 

  34. Schmit, L. A., Jr., Kicher, T. P., andMorrow, W. M., “Structural Synthesis Capability for Integrally Stiffened Waffle Plates,”AIAA Jnl.,1, (12),2820–2836 (1963).

    Google Scholar 

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Barnett, R.L. Survey of optimum structural design. Experimental Mechanics 6, 19A–26A (1966). https://doi.org/10.1007/BF02326832

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