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Virtual displacement and virtual force methods in structural analysis

  • B. E. Gatewood
Part of the Mechanics of Structural Systems book series (MSSY, volume 6-7)

Abstract

It was demonstrated in Chapter 1 that a satisfactory one-dimensional analysis, except for local effects, can be made for simple beams. However, the stress analysis was made only for the beam cross section so that only the equilibrium equations were needed to get the solution. If the simple beams are assembled into a truss type structure, or into a beam with many supports, then the analysis becomes complicated again because deflection equations as well as equilibrium equations may be needed to get the stresses in the structure. Because of these complicated redundant problems, various special methods have been developed to determine stresses and deflections in redundant beams, trusses, and plates.

Keywords

Point Force Dimensional Form Virtual Displacement Point Displacement Virtual Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J.H. Argyris: Energy Theorems and Structural Analysis, Butterworth Scientific Publications, London (1960).Google Scholar
  2. 2.
    J.S. Przemieniecki: Theory of Matrix Structural Analysis, McGraw-Hill Book Co., New York (1968).zbMATHGoogle Scholar
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    I.N. Sneddon: Fourier Transforms, McGraw-Hill Book Co., New York (1951).Google Scholar
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    W. Nowacki: Thermoelasticity, Addison Wesley Publishing Co., Reading, Mass. (1962).Google Scholar
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    I.S. Sokolnikoff and R.M. Redheffer: Mathematics of Physics and Modern Engineering, McGraw-Hill book Co., New York (1958).zbMATHGoogle Scholar

References for additional reading

  1. 6.
    D.H. Allen and W.E. Haisler: Introduction to Aerospace Structural Analysis, Chapter 5, John Wiley and Sons, New York (1985).Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • B. E. Gatewood
    • 1
  1. 1.Dept. of Aeronautical and Astronautical EngineeringThe Ohio State UniversityColumbusUSA

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