## Finite Element Analysis: Video and Tutorials

Problem 1: Deep Beam

Problem 2: Bernoulli vs. Timoshenko Cantilever Beams

Problem 3: Inflating a Balloon of Shell Elements

Problem 4: Elasto-Plastic Buckling of a Plate

Problem 5: Cylinder in Contact with a Rigid Plate

Problem 6: Elasto-Plastic Buckling of a 100x100x10 Steel Angle Under Bending and Normal Force

Example: How to Extract Data Along a Path in ABAQUS

### Complete Linear Analysis – Theory and FEA Comparison

Linear Analysis in Mathematica:

Linear Analysis in ABAQUS:

### Problem 1: Deep Beam

In this problem, we look at the analysis of a deep beam with a concentrated load in the middle. This problem serves as an introduction to for input and output of a PLANE solid linear elastic model into ABAQUS.

Problem description:

Mesh, Material, and Section:

Assembly:

Viewing Results:

Importing into Excel:

### Problem 2: Bernoulli Vs. Timoshenko Cantilever Beams

The dimensions of the beam are . The Material properties are: , . The concentrated load at the cantilever end is . The effective shear area for the Timoshenko beam is . Note that in some texts, the inverse of this relationship is given . The exact solution for the vertical displacement at the cantilever end for the Bernoulli beam is given by:

While that for the Timoshenko beam is given by:

Problem description:

Part 2:

Part 3:

Part 4:

Part 5:

### Problem 3: Inflating a Balloon of Shell Elements

In this example we look at using hyperelastic material and shell elements for a highly nonlinear problem.

Part 1:

Part 2:

Part 3:

Part 4:

Part 5:

### Problem 4: Elasto-Plastic Buckling of a Plate

A plate that is thick and wide is loaded until it buckles around the minor axis. The problem will be considered as a plane problem. The Euler buckling load can be calculated as follows:

The critical load per width of the plate is given by:

The relationship between the true stress and the plastic strain is given by:

True Stress(MPa) | Plastic Strain |
---|---|

800 | 0 |

900 | 0.1% |

1000 | 0.3% |

1100 | 0.7% |

1200 | 2% |

Part 1:

Part 2:

Part 3:

Part 4:

Part 5:

Part 6:

Part 7:

### Problem 5: Cylinder in Contact with a Rigid Plate

In this example, an arbitrary cylinder is resting on a rigid base. The friction coefficient is taken as 0.2.

Part 1:

Part 2:

Part 3:

Part 4:

### Problem 6: Elasto-Plastic Buckling of a 100X100X10 Steel Angle Under Bending and Normal Force

In this example, the Arc-Length method (Riks method in ABAQUS) is used to apply bending and normal force on a steel angle. The following are three videos created by three different students:

### Example: How to Extract Data Along a Path in Abaqus

See the following two examples created by two former students on how to extract data along a path in ABAQUS: