Sign convention of shear force and bending moment

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SUMMARY

The discussion centers on the sign convention for shear force and bending moment in structural analysis. The author defines upward shear force as positive on the left-hand side (LHS) and downward shear force as positive on the right-hand side (RHS). Participants question the inconsistency in sign conventions for moments, noting that clockwise moments are treated as positive on the LHS while anticlockwise moments are positive on the RHS. The consensus emphasizes that the direction of rotation, rather than the direction of the applied force, determines the sign of the moment.

PREREQUISITES
  • Understanding of shear force and bending moment diagrams
  • Familiarity with static equilibrium principles
  • Knowledge of moment calculations in structural analysis
  • Basic concepts of beam mechanics
NEXT STEPS
  • Study the sign conventions in structural analysis textbooks
  • Learn about shear force and bending moment calculations using the Euler-Bernoulli beam theory
  • Explore software tools like SAP2000 for analyzing shear and moment in beams
  • Review case studies on beam loading and moment distribution
USEFUL FOR

Civil engineers, structural analysts, and students studying mechanics of materials will benefit from this discussion, particularly those focusing on beam behavior under various loading conditions.

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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