Question

Axisymmetric problems involving axisymmetric loading and solids of revolution can be conveniently formulated with the following element type.

• A. 1-D line element
• B. 2-D plane stress element
• C. 8-node brick element
• D. higher order element

Hint:

When modeling axisymmetric problems, selecting 2-D axisymmetric elements allows for significant simplification in analysis by reducing the dimensions involved and focusing only on the radial and axial stresses and strains.

Answer 1

The Correct Option is B

Axisymmetric problems, particularly those involving solids of revolution under axisymmetric loading, are most effectively modeled using 2-D axisymmetric elements. These elements allow for a reduction in dimensionality from 3-D to 2-D by exploiting the symmetry of the problem around an axis. This approach simplifies the computational model while accurately capturing the physical behavior of the system under axial symmetry. The 2-D plane stress element is well-suited for this application as it assumes that out-of-plane stresses are negligible, which is generally true for thin axisymmetric bodies.