Sign convention of shear force and bending moment

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Discussion Overview

The discussion revolves around the sign convention for shear forces and bending moments in beam mechanics. Participants are questioning the author's choices regarding which directions are considered positive for shear forces and moments, particularly in the context of a beam subjected to various forces.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants express confusion over the author's definition of upward shear force as positive on the left-hand side (LHS) and downward shear force as positive on the right-hand side (RHS).
  • One participant notes that the direction of force (upward or downward) does not determine the rotation of the beam, but rather the resultant moment it creates, suggesting that the sign convention should reflect this.
  • Several participants question why different directions of moments are assigned the same sign, specifically why clockwise moments are considered positive on the LHS while anticlockwise moments are positive on the RHS.
  • There is a repeated emphasis on the relationship between the applied forces and the resulting moments, with participants seeking clarity on how these conventions are applied consistently.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the sign conventions used by the author, and multiple competing views regarding the reasoning behind these conventions remain present throughout the discussion.

Contextual Notes

Participants highlight the need for clarity on the assumptions underlying the author's sign conventions, particularly regarding the definitions of positive and negative directions for shear forces and moments.

chetzread
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Homework Statement



http://nptel.ac.in/courses/112107146/22[/B]
in the notes, the author define upward shear force as positive (LHS) , he take downward shear force as positive as positive (RHS)?

Homework Equations

The Attempt at a Solution


why the author didnt fix downward shear force as positive , upward shear force as negative or vice versa
 
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If I had a beam, and applied a force acting upwards on the left, it would rotate clockwise.

If I was to instead apply a force acting downwards, but on the right, the beam would still rotate clockwise.

chetzread said:
why the author didnt fix downward shear force as positive , upward shear force as negative or vice versa

Sum of the clockwise moments = sum of the anti-clockwise moments. It is not about whether the force is acting up or down but whether the result of that force would cause it to rotate clockwise or anti-clockwise. :smile:
 
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Clever Penguin said:
If I had a beam, and applied a force acting upwards on the left, it would rotate clockwise.

If I was to instead apply a force acting downwards, but on the right, the beam would still rotate clockwise.
Sum of the clockwise moments = sum of the anti-clockwise moments. It is not about whether the force is acting up or down but whether the result of that force would cause it to rotate clockwise or anti-clockwise. :smile:
move on to the lower part of note, i found that the author take the clockwise moment at LHS as positive while at RHS , the author take anticlockwise moment as positive,why is it so?
why the author take different direction of moment as same sign??
 
why the author take clockwise moment as positive at LHS, take anticlockwise moment as positive at RHS?
 
Clever Penguin said:
If I had a beam, and applied a force acting upwards on the left, it would rotate clockwise.

If I was to instead apply a force acting downwards, but on the right, the beam would still rotate clockwise.
Sum of the clockwise moments = sum of the anti-clockwise moments. It is not about whether the force is acting up or down but whether the result of that force would cause it to rotate clockwise or anti-clockwise. :smile:
So, the moment clockwise considered as positive in this case?
 

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