Why is the direction of shear stress important in pure shear stress?

Click For Summary

Discussion Overview

The discussion revolves around the importance of the direction of shear stress in the context of pure shear stress, particularly focusing on equilibrium conditions and conventions regarding shear stress directions. Participants explore theoretical aspects and potential misconceptions related to the application of shear stress in a square element.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the necessity of shear stresses being directed toward or away from opposite corners of an element in pure shear stress scenarios.
  • Another participant emphasizes that equilibrium considerations dictate the direction of shear stresses, suggesting they must point to opposite corners to avoid generating torque.
  • There is a discussion about the convention of positive and negative shear stress directions, with some participants asserting that clockwise or anticlockwise orientations can be considered negative shear.
  • One participant references an example that states clockwise shear stress is positive, leading to confusion about the relationship between direction and equilibrium.
  • Clarifications are made regarding the nature of pure shear stress as a special case, with references to the concept of irrotational shear stress.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and implications of shear stress direction in maintaining equilibrium, with no consensus reached on the correctness of the initial claims or the interpretations of shear stress conventions.

Contextual Notes

There are unresolved questions regarding the definitions of positive and negative shear stress, as well as the implications of rotational versus irrotational shear stress in the context of pure shear.

chetzread
Messages
798
Reaction score
1

Homework Statement


In my book, I was told that when an element is subjected to pure shear stress, equalibrium required that equal shear stress must be developed on four sides of the element...these stresses must be direct toward or away from opposite corners of element..

Homework Equations

The Attempt at a Solution


i think that is wrong... Why must them direct toward or away from opposite corners of element..?
there's no reason why they must be direct toward or away from opposite corners of element..
 
Physics news on Phys.org
From equilibrium considerations, which way would you have them point?
 
  • Like
Likes   Reactions: chetzread
PhanthomJay said:
From equilibrium considerations, which way would you have them point?
According to the book, the shear stress should have pointed this way(above), IMO, they can also point as this way (below) , which means it can be anticlockwise or clockwise direction
 

Attachments

  • 325.jpg
    325.jpg
    14.7 KB · Views: 418
The above is the convention for positive shear. Reversing it is negative shear.
 
  • Like
Likes   Reactions: chetzread
PhanthomJay said:
The above is the convention for positive shear. Reversing it is negative shear.
do you mean when the orientation is clockwise or anticlockwise . they are considered as negative shear?
 
No .

The shears have to be in pairs pointing to opposite corners of the square to maintain equilibrium . If they are all going clockwise or all anticlockiwise then they would generate a torque which would rotate the square about it's centre .
 
  • Like
Likes   Reactions: chetzread
Nidum said:
No .

The shears have to be in pairs pointing to opposite corners of the square to maintain equilibrium . If they are all going clockwise or all anticlockiwise then they would generate a torque which would rotate the square about it's centre .
that's weird . I have an example here , stating that shear stress in clockwise direction is positive ...
 

Attachments

  • 341.jpg
    341.jpg
    28 KB · Views: 455
  • #10
The notes are correct but all they do is tell you the direction conventionally taken as positive for shear stress .

Perhaps you have not understood that pure shear stress that you have asked about is a special case ? Note word irrotational in the above Wikipedia article .
 
  • #11
Nidum said:
The notes are correct but all they do is tell you the direction conventionally taken as positive for shear stress .

Perhaps you have not understood that pure shear stress that you have asked about is a special case ? Note word irrotational in the above Wikipedia article .
Yes, but the case that I attached earlier inpost #7 is rotational , right? How could that be?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
9K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K