Correct Answer - Option 1 : Stress energy method
Concept:
The methods for finding the deflections of determinate beams.
- Strain energy method
- Moment area method
- Conjugate beam method
- unit load method
Strain Energy Method: It is also known as Castigliano's method.
Castigliano’s first theorem:
The first partial derivative of the total internal energy (strain energy) in a structure with respect to any particular deflection component at a point is equal to the force applied at that point and in the direction corresponding to that deflection component. This first theorem is applicable to linearly or nonlinearly elastic structures in which the temperature is constant and the supports are unyielding.
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.