Understanding Shearing Strain: Explanation and Examples

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    Shearing Strain
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Discussion Overview

The discussion revolves around the concept of shearing strain, particularly focusing on the interpretation of angles formed by surfaces oriented along the positive x and y axes. Participants explore the definitions and implications of these angles in the context of a diagram provided in the thread.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the statement in the notes that shearing strain is positive when the angle between two surfaces decreases, noting that in their diagram, one angle increases while another decreases.
  • Another participant suggests that the description in the notes could be clearer, proposing a rewording to specify the surfaces closest to the origin.
  • Several participants seek clarification on what is meant by "closest to the origin," with suggestions that it refers to surfaces facing the X-Z and Y-Z planes.
  • A participant posits that if the downward plane is sheared to the right and the upper plane to the left, the angle formed by the surfaces will increase, questioning the initial assertion about the angle decreasing.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the interpretation of angles in the context of shearing strain, with no consensus reached on the correctness of the notes or the implications of the angles described.

Contextual Notes

There are unresolved questions about the definitions of terms used, particularly "closest to the origin," and how these relate to the angles in the diagram. The discussion reflects varying interpretations of the visual representation provided.

chetzread
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Homework Statement


In the notes , refer to the circled part . It 's stated that the shearing strain is positive when the angle formed by two surfaces oriented along positive y and x axes decreases ..

Homework Equations

The Attempt at a Solution


. As we can see from the figure( paralleogram ) , one of the angle increases , while another angle decreases , am i right ? Why the author said angle decreases ?
 
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is the notes wrong
?
 
chetzread said:
...angle formed by two surfaces oriented along positive y and x axes decreases ..
I think that could be stated more clearly. Obviously there are two surfaces oriented along each axis. To match the description to the diagram, try rewording it to:

"...angle formed by two surfaces closest to the origin and oriented along positive y and x axes decreases .."
 
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Tom.G said:
closest to the origin
what do you mean by it ? Can you explain further ?
 
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Tom.G said:
"...closest to the origin..."

closest to the origin of the graph as shown in the image of your post #2.
-or-
the two faces closest to and facing the X-Z and Y-Z planes.
https://www.physicsforums.com/attachments/img_20161015_102808-jpg.107454/
if the downwrads plane is sheared to the right , and the upper planes sheared to the left , then the angle formed by two surfaces closest to the origin and oriented along positive y and x axes will increase , right ?.
 
Right!
 
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