Abstract
The concepts of strain energy and complementary energy are discussed and the principle of the stationary value of the total complementary energy of an elastic system established. The principle is then applied to the determination of displacements in a variety of frames and beams and then to the solution of statically indeterminate systems. The unit load method is presented as is the flexibility method. The total potential energy of a springmass system is defined and the principle of the stationary value of the total potential energy of an elastic system is established. Its application to the approximate analysis of structures is illustrated. The principle of superposition is stated and used to derive the reciprocal theorem. Finally, the effect of temperature variations on a simple beam is determined.
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