Statics struss tension/compression

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SUMMARY

The discussion focuses on the analysis of tension and compression in statics, specifically regarding members DG, DE, and HG in a given Free Body Diagram (FBD). It emphasizes the importance of calculating support reactions first to avoid assumptions that may lead to incorrect conclusions about force directions. The correct identification of forces is critical; for instance, Fde is confirmed to be in compression as it points toward the joint, while forces pulling away from the joint are classified as tensile. The conversation highlights the necessity of adhering to Newton's 3rd law and minimizing assumptions during analysis.

PREREQUISITES
  • Understanding of Free Body Diagrams (FBD)
  • Knowledge of Newton's 3rd Law of Motion
  • Familiarity with tension and compression forces in structural analysis
  • Basic skills in calculating support reactions in statics
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  • Study the principles of Free Body Diagram analysis in statics
  • Learn about calculating support reactions in static systems
  • Explore the concepts of tension and compression in structural engineering
  • Review case studies involving tension and compression in real-world applications
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This discussion is beneficial for students studying statics, structural engineers, and anyone involved in analyzing forces in mechanical systems.

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Why is DG, DE in tension while HG is in compression according to the FBD? How did the book determine this? Do you just randomly guess tension/compression and then do the calculations and see if you get a positive/negative number? Is there a set procedure? Thanks.
 

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It's ok to make assumptions, consistent with Newtons 3rd law, but limit the number of assumptions you make or else the plus and minus sign will devour you. I notice that the solution shows Ax pointing right, when obviously it must point left, so don't assume when you don't have to. Always calculate support reactions first, numerically, that's a big help. When you look at the right side cut section, since R points up, producing ccw moment about G, then Fde must point inward toward the joint, to produce a cw moment about G . Fde is compression by the way, since it points toward joint . Forces pulling away from joint are tensile.
 

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