Shear & Bending Moment Diagrams

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SUMMARY

The discussion centers on the conceptual understanding of Shear and Bending Moment Diagrams, particularly the effects of analyzing a beam from either the left or right side. It is established that when approaching a cantilever beam from the free end (x=0), the boundary conditions simplify the process, whereas for simply supported beams, initial reactions are essential. The symmetry of the beam does not guarantee symmetrical shear and moment diagrams. Practicing with symmetrical diagrams and determining the loading conditions that produce them is recommended for deeper comprehension.

PREREQUISITES
  • Understanding of Shear and Bending Moment Diagrams
  • Knowledge of cantilever and simply supported beams
  • Familiarity with boundary conditions in structural analysis
  • Basic principles of static equilibrium
NEXT STEPS
  • Study the method of integration for shear and moment diagrams
  • Learn about boundary conditions in structural analysis
  • Explore the effects of different loading conditions on shear and moment diagrams
  • Practice drawing and analyzing symmetrical shear and moment diagrams
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in the analysis of beams and structural systems will benefit from this discussion.

skaterbasist
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I apologize for not using the template, but my question is more of a conceptual question than anything else.

The only thing so far that confuses me with Shear and Bending Moment Diagrams is when, in some cases, it is easier to approach the beam from the right side instead of the left.

When you do so, how does the graph change? Is it "mirrored"? If so, are both the shear & moment diagrams mirrored about the Y axis or X axis? Does it matter if the problem is cantilevered or simply supported in terms of the above asked question?

Thank you for any assistance. I have been stuck with this scenario in my head all day long. :o
 
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It's not so much right and left as - well, in a cantilever, if you start x=0 at the free end of the cantilever, you don't need to initially work out the reactions. If you are using the method of integration, the boundary conditions are easier to deal with at the free end than at the encastre end. However in a simply supported beam, it doesn't make much difference, because you really do need those reactions before you start the shear force or bending moment diagrams. A symmetrical beam will not necessarily have symmetrical V and M diagrams. One way for you to learn, after having covered basic cases, is to draw some symmetrical V and M diagrams, and work out what loading would have produced such diagrams.
 

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