Is the Stiffness Calculation for Span Ends Incorrect in Online Notes?

In summary, the stiffness of a span with an end pin is typically given by 3EI/L while a span with an end roller is given by 3EI/4L. This is due to the difference in the location of the reaction forces.
  • #1
fonseh
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Homework Statement


I don't understand why the stiffness for span have extension pin stated from original stiffness ...

Homework Equations

The Attempt at a Solution


According to online notes , for the far end pin / roller , the k is 3EI / L but not 3EI ***/ 4*** , is the notes wrong ?
 

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  • #2
The notes appear to be incorrect. The stiffness of a span with an end pin is typically given by 3EI/L, while the stiffness of a span with an end roller is given by 3EI/4L. This difference is due to the fact that when a roller is used, the reaction forces act at the rollers midpoint, thus halving the span length.
 

1. What is the stiffness modification method?

The stiffness modification method is a structural analysis technique used to calculate the response of a structure to external loads by modifying the stiffness of the structure. It involves adjusting the stiffness of certain elements in the structure to achieve a more accurate and efficient analysis.

2. When is the stiffness modification method used?

The stiffness modification method is often used when the traditional structural analysis methods, such as the finite element method, are not suitable or accurate enough for the given structure. It is commonly used in the analysis of complex structures with irregular geometries or structural elements with non-linear behavior.

3. What are the benefits of using the stiffness modification method?

One of the main benefits of using the stiffness modification method is its ability to provide more accurate results for complex structures. It also allows for a more efficient analysis, as it can reduce the computational time and resources required for the analysis. Additionally, it can account for the non-linear behavior of certain structural elements, which traditional methods may not be able to accurately capture.

4. How does the stiffness modification method work?

The stiffness modification method works by adjusting the stiffness of certain elements in the structure, such as beams or columns, to more accurately reflect the behavior of the structure under external loads. This is done by modifying the stiffness matrix used in the structural analysis, which is based on the stiffness of the individual elements and their connections.

5. Are there any limitations to the stiffness modification method?

While the stiffness modification method can provide more accurate results for certain structures, it also has some limitations. It may not be suitable for all types of structures, and the modifications made to the stiffness matrix may not always accurately represent the behavior of the structure. Additionally, it may require more expertise and time to implement compared to traditional analysis methods.

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