Question

state castigliano's 2nd theorem and derive method of least work from it.​

Answer 1

Answer:

Castigliano's second theorem The first partial derivative of the total internal energy in a structure with respect to the force applied at any point is equal to the deflection at the point of application of that force in the direction of its line of action.It states that if the strain energy U stored in an elastic structure is expressed as a function of the generalized displacements , then the first partial derivative of U with respect to any one of the generalized displacements is equal to the corresponding generalized force .

Explanation:

Without further due, here is the theorem of least work, a.k.a. Castigliano's theorem of least work: The redundant reaction components of a statically indeterminate structure are such as to make the internal work (strain energy) a minimum.

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