3 dimension reactions problem - statics

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SUMMARY

The discussion focuses on solving a statics problem involving a 100-kg uniform rectangular plate supported by hinges A and B, and a cable DCE. The key tasks are to determine the tension in the cable and the reactions at hinges A and B, with the specific condition that hinge B does not exert any axial thrust. This stipulation implies that while there are reaction forces at hinge B, there are no reaction moments about the x-axis, ensuring the problem remains statically determinate.

PREREQUISITES
  • Understanding of statics and equilibrium conditions
  • Familiarity with free body diagrams
  • Knowledge of reaction forces and moments in hinge supports
  • Basic principles of tension in cables
NEXT STEPS
  • Study the concept of statically determinate structures
  • Learn about free body diagram construction for complex systems
  • Explore the role of reaction forces in hinge supports
  • Investigate tension analysis in cable systems
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Engineering students, particularly those studying mechanics and statics, as well as professionals involved in structural analysis and design.

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Homework Statement


A 100-kg uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE that passes over a frictionless hook at C. Assuming that the tension is the same in both parts of the cable, determine (a) the tension in the cable, (b) the reactions at A and B. (assume that the hinge at B does not exert any axial thrust)


Homework Equations





The Attempt at a Solution


What does it mean when it says assume that the hinge at B does not exert any axial trust?
Everyone keeps telling me that it means that there's no reactions, yet in the free body diagram, I see reaction forces, just no reaction moments, is this what it means?
 

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I don't know, but would guess (and proceed on the assumption that) it means no reaction component parallel to AB.
 
It means at hinge B, there will be reaction forces in the direction of the y-axis and z-axis. It's a hinge, so it can't support a reaction moment about the x-axis.

I think the stipulation about hinge B not being able to support an axial reaction force is to ensure that the problem is statically determinant.
 
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