Energy Methods MCQ with answer and solution

Concept

Principle of unit load method

Formula

NONE

Step-by-step solution

1. The unit load method is a flexibility-based virtual work technique used to analyze deflections and indeterminate structures. 2. It solves redundants by enforcing structural compatibility conditions at redundant locations. 3. Therefore, the method operates fundamentally on the principle of consistent deformation. Answer: A

Explanation

The unit load method calculates structural displacements by equating internal strain energy to external work. When applied to indeterminate structures, these displacements are used to write compatibility equations that match structural boundary conditions, known as consistent deformation. Thus, analyzing indeterminate structures via unit load relies on the method of consistent deformation.

Why the other options are wrong

B) The stiffness method uses displacements as primary unknowns rather than unit load virtual work principles. C) Consistent force refers to force methods in general, whereas the unit load method specifically applies principles of consistent deformation. D) Option A is correct because the unit load method is based on consistent deformation.

Shortcut

Unit load method is based on the principle of consistent deformation.

Common mistake

Confusing the unit load method with displacement/stiffness methods instead of consistent deformation methods.