Sahil Sura
Ansys Employee

Hi @Venkata Subramanian M,
So if we see the basic conditions of static analysis, the load should be assumed to be steady such that the load and structure's response varies slowly with respect to time. Or in other words, Loads and Boundary Conditions do not change with time. This doesn't allows rigid body motion to take place.

So let's say you add a load to the tip of a cantilever beam without any support defined, this will lead to unconstrained displacement, which might tend towards infinity (causing rigid body motion) and will make the equation produce an infinite number of solutions.

Mathematically if we say, when there exists a rigid body motion situation in the model, the matrix from the governing equation turns singular.
Thus there won't be a case of expected outcome.

There are certain situations where the model is unconstrained like flying objects, aquatic objects, etc. but in such situations, different methods are used to counter the problem.

For more information please refer to the following video which might tell you more on the need to fully constrain the model.
Understanding the Need to Fully Constrain the Model - Lesson 2 - ANSYS Innovation Courses

Hope this helps!