Project Overview
In this Abaqus project, the force and deflection of a rod assembly are calculated using both Abaqus and an analytical solution. The numerical results obtained from Abaqus are then compared with the analytical results.
The model consists of Rod DF, Rod CE, and Rod ABCD. The main objective is to determine the forces in Rod DF and Rod CE and the deflection of point A.
Rod assembly used for the force and deflection analysis.
Model Geometry
The length of Rod DF is 30 inches, while the length of Rod CE is 24 inches. The total length of Rod ABCD is 38 inches.
Calculation of Forces in the Rods
The forces in Rod DF and Rod CE are first calculated using the Abaqus simulation. The obtained forces are then compared with the corresponding values from the analytical solution.
Force in Rod DF
The force in Rod DF obtained from the Abaqus simulation is 7499 lb, while the force obtained from the analytical solution is 7500 lb.
The very small difference between the two results demonstrates the close agreement between the Abaqus simulation and the analytical solution.
Force in Rod DF obtained from the Abaqus analysis.
Force in Rod CE
The force in Rod CE obtained from the Abaqus simulation is 2501 lb, while the analytical solution gives a force of 2500 lb.
The Abaqus result is therefore in very close agreement with the analytical solution.
Force in Rod CE obtained from the Abaqus analysis.
Deflection of Point A
After calculating the forces in the rods, the deflection of point A is obtained from the Abaqus simulation and compared with the analytical solution.
The deflection of point A obtained from Abaqus is 0.04348 inch, while the analytical solution gives a deflection of 0.0432 inch.
Deflection of point A obtained from the Abaqus analysis.
Analytical Solution
The forces in Rod DF and Rod CE and the deflection of point A are also calculated using an analytical solution.
First, the equilibrium of the rod assembly is considered to determine the forces developed in Rod DF and Rod CE under the applied load. The equilibrium equations are used to calculate the corresponding rod forces.
The deformation of the rods is then calculated based on the obtained axial forces, rod lengths, cross-sectional properties, and material properties. The resulting deformations are used to determine the displacement of the connected members.
Finally, the deflection of point A is determined from the deformation of the rod assembly. Since Rod ABCD connects the different members of the system, the deformation of Rod DF and Rod CE contributes to the resulting displacement of point A.
The analytical solution gives the following results:
- Force in Rod DF: 7500 lb
- Force in Rod CE: 2500 lb
- Deflection of Point A: 0.0432 inch
These analytical results are used as reference values for comparison with the corresponding results obtained from the Abaqus simulation.
Analytical solution for the rod forces and deflection of point A.
Comparison with Analytical Solution
The results obtained from Abaqus are very close to the results of the analytical solution for both the rod forces and the deflection of point A.
This comparison provides a useful verification of the Abaqus model and demonstrates that the numerical simulation can accurately reproduce the expected mechanical response of the system.
What You Will Learn
- How to model a rod assembly in Abaqus.
- How to calculate forces in structural rods.
- How to obtain the force in Rod DF.
- How to obtain the force in Rod CE.
- How to calculate the deflection of point A.
- How to obtain force and displacement results from Abaqus.
- How to calculate the same quantities using an analytical solution.
- How to compare Abaqus results with analytical results.
- How to verify an Abaqus model using an analytical solution.
Deformation of the model.
Key Features
- Force calculation using Abaqus.
- Deflection calculation using Abaqus.
- Analytical solution for comparison.
- Rod DF with a length of 30 inches.
- Rod CE with a length of 24 inches.
- Rod ABCD with a total length of 38 inches.
- Force in Rod DF: 7499 lb from Abaqus.
- Force in Rod DF: 7500 lb from analytical solution.
- Force in Rod CE: 2501 lb from Abaqus.
- Force in Rod CE: 2500 lb from analytical solution.
- Deflection of point A: 0.04348 inch from Abaqus.
- Deflection of point A: 0.0432 inch from analytical solution.
- Comparison between numerical and analytical results.
- Abaqus CAE file.
- Abaqus INP file.
- Step-by-step training video.
Project Information
Important information about this project
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