Question

In a solid of revolution, if the geometry, support conditions, loads, and material properties are all symmetric about the axis and are independent of θ, then the problem can be treated as a ____

(a) two-dimensional one

(b) one-dimensional one

(c) three-dimensional one

(d) plane strain

The question was asked in an internship interview.

My doubt stems from Boundary Value Problems in portion Single Variable Problems of Finite Element Method

Answer 1

The correct choice is (a) two-dimensional one

Best explanation: In a solid of revolution, if the geometry, support conditions, loads, and material properties are all symmetric about the axis and are independent of θ, then the problem can be treated as a two-dimensional problem. Moreover, due to the absence of stress variation in the third dimension, such a problem is treated as a plain stress problem.