Why Replace Pinned Support with Roller Guide for Qualitative Influence Lines?

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In summary, a qualitative influence line is a simplified graphical representation of the response of a structure to a unit load. It is different from a quantitative influence line as it does not provide numerical values but rather gives a visual representation. Its main purpose is to identify critical locations and potential areas of concern for a structure. It is constructed by plotting the variation of the response at a specific point as the load moves along the structure. However, it has limitations in accuracy and assumes linearity and elasticity of the structure. It also only considers a single unit load and not multiple loads.
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fonseh
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Homework Statement


For the highlighted part , why we need to replace the support at A with a roller guide ? We could see at A , it's a pinned support , right ?

Homework Equations

The Attempt at a Solution


Pinned support will resist horizontal and vertical reaction , why the author said it will not resist vertical force ? Is the author wrong ? [/B]
 

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I think you've completely missed the idea of constructing qualitative influence lines.
The trick is that to do so, you must replace the support at A with a roller, it's written in the text...
 
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1. What is a qualitative influence line?

A qualitative influence line is a graphical representation of the effect of a unit load or force on a specific point of a structure. It shows the variation of the response of the structure at that point as the load moves along the structure.

2. How is a qualitative influence line different from a quantitative influence line?

A qualitative influence line is a simplified version of a quantitative influence line. It does not provide numerical values for the response of the structure, but rather gives a visual representation of the overall behavior of the structure under the influence of a unit load.

3. What is the purpose of a qualitative influence line?

The main purpose of a qualitative influence line is to determine the critical locations of a structure and to identify potential areas of concern for further analysis. It can also be used to make quick estimations of the overall response of a structure to a load.

4. How is a qualitative influence line constructed?

A qualitative influence line is constructed by plotting the variation of the response of the structure at a specific point as the load moves along the structure. This is typically done by hand using a scale drawing or by using computer software.

5. What are the limitations of a qualitative influence line?

A qualitative influence line is limited in its accuracy and cannot be used to determine exact values for the response of a structure. It also assumes that the structure is linear and elastic, which may not always be the case in real-world scenarios. Additionally, it only considers the effect of a unit load and does not account for the combined effect of multiple loads.

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