Shear Center of thing circular section

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Discussion Overview

The discussion revolves around deriving the equation for the shear center of a thin-walled slit circular section of uniform section. The scope includes homework-related queries and technical explanations regarding the mechanics of materials.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a need for assistance in deriving the shear center equation and provides a reference image of the problem.
  • Another participant emphasizes the importance of listing relevant equations and showing work before receiving help, suggesting that the second moment of area, Iz, should be computed first.
  • A participant shares their progress but receives feedback indicating that their work is unclear and poorly labeled, raising questions about specific terms and integration limits used in their calculations.
  • Further hints are provided regarding the need for clearer labeling of parameters and the correctness of the second moment of area calculation.

Areas of Agreement / Disagreement

The discussion shows a lack of consensus on the clarity and correctness of the participant's work, with ongoing feedback and suggestions for improvement rather than agreement on a solution.

Contextual Notes

Limitations in the discussion include unclear labeling of parameters, potential errors in the calculation of Iz, and unresolved integration limits in the equations presented.

Mish4444
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Hi there, i have a problem trying to derive the equation for the shear centre of a thin walled slit circular section of uniform section.

I have attached a photo of the question bellow. it is taken from mechanics of materials. I hope someone can help.
 

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Mish4444: You must list relevant equations yourself, and show your work. And then someone might check your math. We are not allowed to give you the relevant equations for your homework. Hint 1: Do you think you should first compute second moment of area, Iz, of the cross section? Do you think Iz will be needed to solve this problem?
 
Hi NVN thanks for the reply.

This is where i have got to so far:
 

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Mish4444: Some of your current work is rather sloppy, and I cannot read some of it. How do you expect people to read characters if you do not make them legible? Also, the current work is poorly labeled, and is not making much sense yet. What is Z*D in the denominator of tau_D, and why is it there? What is Zo = t? Why did you integrate statistical moment of area in the tau_D equation from zero to pi, instead of from zero to alpha? And what does subscript D mean? Hint 2: Do you think you also need to integrate moment from zero to pi? Hint 3: Iz is currently wrong; try again. Can you make your work clearer? And label your parameters more carefully, so we know what you mean? Try it again.
 
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