This lesson covers the fundamental theorems of elasticity, including the Uniqueness theorem, Principle of Superposition, Method of Virtual Work, and Minimum Potential Energy Principle. It also delves into the Castigliano’s theorem and Maxwell-Betti Reciprocal theorem. The lesson explains how these theorems are applied in problem-solving and how they are used to determine stress distribution in a body subjected to specific loading. It also discusses the concept of complementary energy principle and how it relates to strain energy. The lesson uses illustrative examples to explain these complex concepts, making it easier for learners to understand and apply them in real-world scenarios.

- The Uniqueness theorem states that for a body subjected to a specified system of loading, there can only be one set of stress distribution.
- The Principle of Superposition allows for the addition of stresses for each set of loading to determine the stresses corresponding to the combined sets.
- The Method of Virtual Work and Minimum Potential Energy Principle are useful in finding unknown forces or displacements.
- Castigliano’s theorem states that the deflection of the point of application of the load is given by the derivative of the first derivative of the complementary energy with respect to the load.
- The complementary energy principle is used to calculate the deflection of a point of application of a load.

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