CHAPTER 8

DEFLECTIONS USING ENERGY METHODS

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© xPACIFICA/Alamy Stock Photo

The deflection of the ends of this arch as it is being constructed can be determined using energy methods.

CHAPTER OBJECTIVES

  • To show how to use the method of virtual work and Castigliano’s theorem to determine the displacement at joints on trusses, and the slope and displacement at points on beams and frames.
8.1 EXTERNAL WORK AND STRAIN ENERGY

The semigraphical methods presented in the previous chapter are very effective for finding the displacement and slope at a point in beams subjected to rather simple loadings. For more complicated loadings or for structures ...

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