Finite Element Analysis MCQ with answer and solution

Concept

Numerical methods like Finite Element Analysis (FEA) convert a continuous structure into small, finite parts. This dividing process is called discretization.

Step-by-step solution

1. Numerical computer-aided methods (like FEM or FDM) cannot solve complex continuous structures directly. 2. To analyze them, the computer divides the entire continuous domain into small simple elements or nodes. 3. This fundamental process of breaking a continuous body into a finite number of smaller elements is called the 'Principle of discretization'. Answer: (B) Principle of discretization

Explanation

Computer-aided analysis methods like Finite Element Analysis (FEA) work by breaking a complex structure into small simple parts called elements. This process is called discretization. It transforms complex continuous differential equations into algebraic equations that computers can easily solve.

Why the other options are wrong

A: Conservation of energy is a physical law, not the main numerical principle of CAD/CAE techniques. C: Virtual work is a principle used to derive equations, but not the basis of discretization in numerical methods. D: Strain energy theory is a theory of failure used for ductile materials, not a general numerical method.

Shortcut

Numerical methods (FEM/FDM) in computers always work by dividing a continuum into discrete elements.

Common mistake

Confusing the fundamental process (discretization) with variational principles (virtual work) used inside specific FE formulation.