Shear force and bending moment diagrams question

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SUMMARY

The discussion centers on the conventions used in shear force and bending moment diagrams, specifically regarding the impact of flipping a beam on shear and moment values. When a beam is flipped, the shear force changes sign while the bending moment remains unchanged. Participants emphasize the importance of adhering to the left-to-right drawing convention for these diagrams, as it ensures that the area under the shear diagram corresponds to the change in moment. Additionally, correct directionality in free body diagrams is crucial for accurate analysis.

PREREQUISITES
  • Understanding of shear force and bending moment diagrams
  • Familiarity with free body diagrams in structural analysis
  • Knowledge of beam mechanics and loading conditions
  • Basic principles of equilibrium in static structures
NEXT STEPS
  • Study the conventions for drawing shear and moment diagrams in structural analysis
  • Learn about the relationship between shear force and bending moment through integration
  • Explore examples of free body diagrams for various beam configurations
  • Investigate common mistakes in interpreting shear and moment diagrams
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Students in civil or mechanical engineering, structural analysts, and anyone involved in the study of beam mechanics and structural integrity.

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Homework Statement


So in my notes we have the following example:
1oNEeJg.png


So I decided to try to solve it another way, this time I flipped the figure and here is my attempt:
aOwzV6o.png


I got the correct moment but then the signs on my shear is flipped. Does anyone know why?
 
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That is correct, when you flip the beam, the shear changes sign but the moment does not. This is the convention used. Always draw shear and moment diagrams from left to right. In this manner, the area under the shear diagram between 2 points will be equal to the change in moment between those 2 points. And the slope of the moment diagram at any point will be equal to the shear at that point. Stick with the convention.
Edit: regardless of convention, some of the directions of the shears and moments in your free body diagrams are shown in the wrong direction. The directions on a cut section are the same no matter from what direction you look at the beam.
 
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