Twisting at shear center / centroid

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Discussion Overview

The discussion revolves around the concepts of shear center and centroid in the context of structural mechanics, specifically regarding the twisting of a channel section when a force is applied. Participants are exploring the implications of applying a force at the centroid versus the shear center, and the conditions under which twisting occurs.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about whether a member will twist when a force is applied through the centroid or the shear center, citing conflicting statements in the notes regarding the shear center's location.
  • Another participant questions if applying the force at both the centroid and the shear center is necessary to prevent twisting, indicating uncertainty about the relationship between these two points.
  • A participant seeks clarification on the meaning of applying a force along an unsymmetrical axis that passes through the centroid, questioning the definition of symmetry in this context.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as multiple competing views and uncertainties regarding the application of forces and the resulting behavior of the channel section remain evident.

Contextual Notes

There are unresolved questions about the definitions and implications of applying forces at the centroid versus the shear center, as well as the conditions under which twisting occurs. The discussion reflects a need for further clarification on these concepts.

fonseh
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Homework Statement


In the notes , the author stated that when the force is applied through the centorid of cross section , the channel will bend and twist.
but , on the second page , the author stated that the shear center lies on an axis of symmetry of member's cross sectional area...
So, i am confused whether the member will twist or not when the force P is applied thru the centroid or shear center ...

Why the shear center is located at O , which is located outside of the C channel ?

Homework Equations

The Attempt at a Solution


Is there anything wrong with the notes ? [/B]
 

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In the notes , it's also stated that to prevent twisting , the P should be applied at O , does it mean we have to apply the force thru the centoid and also at the O at the same time to prevent twisting ? I'm confused
 
Bump
 
what is the meaning of the force is applied along the once vertical , unsymmetrical axis that passes thru centroid ? Since the applied force already passing thru centroid , it's already the symmertical axis , right ?
 

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