F.B.D. for beam on disabled hoist (confirmation on work needed)

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SUMMARY

The discussion focuses on creating Free Body Diagrams (FBDs) for a disabled hoist's top beam. The user employs static equilibrium equations, specifically the sum of all forces equating to zero and the relationship between shear force and bending stress. Feedback emphasizes the importance of incorporating the weight of the beam as an additional force in both the FBD and the shear diagram. The consensus is that treating the weight as another force is essential for accurate shear and bending diagrams.

PREREQUISITES
  • Understanding of Free Body Diagrams (FBDs)
  • Knowledge of static equilibrium principles
  • Familiarity with shear force and bending moment calculations
  • Basic concepts of linear actuators and their forces
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Learn how to construct shear and bending moment diagrams
  • Explore the effects of distributed loads on beams
  • Review examples of Free Body Diagrams in engineering contexts
USEFUL FOR

Engineering students, mechanical designers, and anyone involved in structural analysis or design of hoisting systems will benefit from this discussion.

LauraR
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Homework Statement



Hi guys,

I'm doing an assignment for college and designing a disabled hoist. I want to complete FBDs on the top beam especially. Can anyone help answer whether the work I've done is correct?

Homework Equations



the equations I used were the sum of all force = 0

and for the bending stress that the shear force = dm/dx

The Attempt at a Solution



Please see the two pictures attached for my attempts at (very quickly) drawing what i believe to be the correct solution. I'm taking the hwole thing to be static, as in the linear actuator is creating a force opposing the Load F. I would really appreciate some feedback, because I find F.B.D's hard to grasp, and I could be totally wrong!

Thanks
L

 

Attachments

  • top beam FBD.JPG
    top beam FBD.JPG
    6.4 KB · Views: 399
  • sheer and bending D.JPG
    sheer and bending D.JPG
    4.5 KB · Views: 465
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Can anyone shed any light on this?
 
What about the weight of the beam?
 
How would I incorporate w into a shear diagram? Would it effect it? I understand w is another force acting on the beam and will put it in the top FBD, but I don't know what to do for the Shear and bending diagrams.

Thanks
 
It's just another force. Treat it like you did the other forces.
 

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