## Stretching of a Thin Plate with a Hole

## Stretching of a Thin Plate with a Hole

This example is a well known benchmark test case from structural mechanics, a thin plate with a circular hole in the center is subjected to a load and stretched along the horizontal axis. The plate is thin enough to satisfy the two dimensional plane stress approximation, and since both the problem and solution will be …

## Cantilever Beam

## Cantilever Beam

A test case for a one dimensional model of a cantilever beam which is fixed to a wall at the left end. Using Euler-Bernoulli beam theory three test cases are studied for which reference solutions are available, a point load at the left end, a uniform distributed load, and the natural vibration modes and frequencies …

## Cylindrical Pressure Vessel

## Cylindrical Pressure Vessel

A long cylindrical thick walled pressure vessel is here subjected to both a high internal pressure and thermal expansion. The model and solution is symmetric and also suitable for modeling with the two-dimensional plane strain approximation. This problem allows for an analytical solution which is used to validate and …

## Deflection of a Bracket

## Deflection of a Bracket

In this example a three dimensional model of a solid bracket with a cylindrical hole is subjected to an external load. The vertical side of the bracket is fixed to a wall (thus zero displacement boundary conditions are applied there), while the outer end of the bracket is loaded with a force of 104 Pa in the negative …

## Deformation of a Spanner

## Deformation of a Spanner

Tutorial example of calculating deformation and deflection in a spanner where the geometry is given in and imported from a STL CAD file. This model is available as an automated tutorial by selecting Model Examples and Tutorials… > Structural Mechanics > Deformation of a Spanner from the File menu, and also …

## Stress Analysis of a Thick Plate

## Stress Analysis of a Thick Plate

This is a benchmark and validation model for linear elasticity where an elliptical thick plate with a hole is subjected to a uniform pressure load of 106 MPa [1]. The outer surface is assumed to be constrained from expansion, in addition to the center line which is fixed in the z-direction. Symmetry is also utilized so …

## Vibration Modes of a Hollow Cylinder

## Vibration Modes of a Hollow Cylinder

This model studies the vibration modes of a free and hollow cylinder using an axisymmetric approximation. No loads or constrains are applied as the free modes are sought. The cylinder is 10 m long, has a center diameter of 2 m, and is 0.4 m thick. Moreover, the material of the cylinder is considered to be steel with E …