Internal Forces (Engineering Mechanics)

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SUMMARY

The discussion focuses on calculating internal forces at point J of a frame involving pulleys with a radius of 7.2 inches, while neglecting friction. Participants confirm that the tension in section C-E of the cable is 90 lb and discuss the need to analyze forces at point E where multiple members meet. The approach involves cutting the member at point J to determine shear forces and bending moments, emphasizing the importance of calculating joint forces to find vertical components of reactions.

PREREQUISITES
  • Understanding of internal forces in structures, including axial, shear, and bending moments.
  • Familiarity with free body diagrams and equilibrium equations.
  • Knowledge of pulley systems and their effects on tension in cables.
  • Ability to perform static analysis on frames and trusses.
NEXT STEPS
  • Study the method of sections for analyzing trusses and frames.
  • Learn about calculating shear forces and bending moments in structural members.
  • Explore the principles of static equilibrium in mechanical systems.
  • Review examples of pulley systems and their impact on tension distribution.
USEFUL FOR

Engineering students, structural analysts, and professionals involved in mechanical design and analysis of frames and trusses will benefit from this discussion.

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problem says knowing radius of each pulley to be 7.2 in, neglect friction, find internal forces at point J of the frame.

1st question that I have is whether the tension in section C-E of the cable also 90 lb? how about section C-D. Also, in my diagram of each of the members, I don't know how to label forces at point E where two long members and the pulley meet.

Finally, can someone gimme an idea how to go about doing this problem?
http://img487.imageshack.us/img487/8272/15am.jpg
http://img487.imageshack.us/img487/4066/14ch.jpg
 

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Are points J and K joints? I think they are assuming pulleys have mass.
 
Yes, I'm familiar with internal forces [resultants of the stresses] (axial, shear and flexionant moment). First is to find the reactions and simply cut BE member at J, and solve for the shear force and flexionant moment.
 
I believe you don't need to take pulleys into consideration you just find all the force around the member where point J is.
Then you just cut at point J and calculate everything again
 
I'm having trouble finding the vertical component of the force acting on frame B...any ideas? I set the moment about A zero and I was able to find the horizontal component of the force acting on frame B.
 
Find the joint forces (E point) on the AE member then use them to find the vertical component of the reaction at B on the BE member.
 
I got 45 lb for the vertical component of the reaction force. is that right? :confused:
 
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