Finding shear and moment diagrams for a simply supported beam.

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SUMMARY

This discussion focuses on calculating shear and moment diagrams for a simply supported beam with a force acting off a bracket. The key takeaway is that to accurately determine the shear and bending moment diagrams, one must consider the load's effect at the connection point (point B) and potentially replace the force with an equivalent load at that point. The support reactions at points A and C are calculated as P/2 when the force acts directly on the beam.

PREREQUISITES
  • Understanding of shear and moment diagrams
  • Knowledge of static equilibrium principles
  • Familiarity with equivalent loads and their application
  • Basic concepts of simply supported beams
NEXT STEPS
  • Study the method of sections for analyzing forces in beams
  • Learn about calculating equivalent loads and moments
  • Explore the use of free body diagrams in structural analysis
  • Investigate advanced topics in beam deflection and bending stress
USEFUL FOR

This discussion is beneficial for civil engineering students, structural engineers, and anyone involved in analyzing beam behavior under various loading conditions.

haleystew
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Homework Statement



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Homework Equations





The Attempt at a Solution



I know how to work shear and moment diagram problems, but I am a little confused as to how to start this one. Does it matter that the force is hanging off the bracket? Can I just continue as if the force was acting directly on the beam, or is there something else I need to do. I know if the force was acting directly on the beam, the support reactions would be P/2 at points A and C.
 
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Hi haleystew, welcome to PF. To get correct shear and bending moment diagrams, you need to know how load P acts at the arm's connection point with the beam (i.e., point B). This can be accomplished by replacing P with an equivalent load (e.g., force and moment if necessary) at point D, and then at point B. Know what I mean?
 

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