Boundary conditions on a fixed-fixed bar

Thread starter Bryan morrow
Start date Sep 19, 2015
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Boundary Boundary conditions Conditions

In summary, boundary conditions on a fixed-fixed bar refer to the constraints placed on the bar at its two ends, where the bar is fixed or immovable. They are important in analyzing a fixed-fixed bar as they help determine its behavior. The two main types of boundary conditions that can be applied are displacement and force boundary conditions. Boundary conditions also have a significant impact on the natural frequencies of a fixed-fixed bar. They can be changed during an analysis, but must be carefully considered to ensure they are physically realistic and do not violate the laws of mechanics.

Sep 19, 2015

Bryan morrow

I am working with a fixed fixed bar with a distributed axial load to the right as w(x)=CX/L. I am having a hard time determining the force boundary conditions. I know that U(0)=0 and U(L)=0. However, I need to come up with something in regards to U'(Value). Any help would be appreciated.

Last edited: Sep 19, 2015

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Sep 19, 2015

Bryan morrow

Here is a picture for better explanation.

1. What are boundary conditions on a fixed-fixed bar?

Boundary conditions on a fixed-fixed bar refer to the constraints placed on the bar at its two ends, where the bar is fixed or immovable. This means that the bar cannot move or rotate at these points.

2. Why are boundary conditions important in analyzing a fixed-fixed bar?

Boundary conditions are important because they help determine the behavior of the fixed-fixed bar. By knowing the constraints at the ends, we can accurately predict the displacement and stress distribution along the length of the bar.

3. What types of boundary conditions can be applied to a fixed-fixed bar?

The two main types of boundary conditions that can be applied to a fixed-fixed bar are displacement boundary conditions and force boundary conditions. Displacement boundary conditions specify the movement of the bar at the ends, while force boundary conditions specify the forces acting on the bar at the ends.

4. How do boundary conditions affect the natural frequencies of a fixed-fixed bar?

Boundary conditions have a significant impact on the natural frequencies of a fixed-fixed bar. The fixed ends act as points of zero displacement and zero rotation, resulting in specific modes of vibration and corresponding natural frequencies.

5. Can boundary conditions be changed during an analysis of a fixed-fixed bar?

Yes, boundary conditions can be changed during an analysis of a fixed-fixed bar. This can be done by applying different constraints or loads at the ends, which will result in different displacement and stress distributions. However, care must be taken to ensure that the new boundary conditions are physically realistic and do not violate the laws of mechanics.