Solving technique for static problems

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SUMMARY

The discussion focuses on solving static problems in structural analysis, specifically addressing the use of independent equations for structures such as trusses and beams. Key methods mentioned include the method of joints for trusses and the application of forces and moments. The importance of understanding the type of structure being analyzed is emphasized, as it influences whether to analyze the whole structure or its individual parts. Resources provided include links to educational materials and analytical software for further exploration.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with the method of joints for trusses
  • Knowledge of forces and moments in structural analysis
  • Basic comprehension of Newton's Laws of Motion
NEXT STEPS
  • Research the method of joints for truss analysis
  • Explore BEAMTool for beam analysis techniques
  • Study the application of forces and moments in static structures
  • Investigate analytical software options for structural analysis
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing static structures will benefit from this discussion.

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I'm wondering about the method with which to attack static problems. One has three independent equations, but I'm unsure about when to use them on the whole structure, or when to take the structure apart and use them on each part. Are there any rules on this that would make this decision easier?
 
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What type of structure? Truss or beam or some solid body (e.g. block)?

There are certain methods - e.g. method of joints for trusses. For example -
http://physics.uwstout.edu/StatStr/Strength/StatII/stat22.htm

http://mac6.ma.psu.edu/em11/p09a.html

http://em-ntserver.unl.edu/Negahban/em223/note12/note12.htm

http://floti.bell.ac.uk/kingr/wbtcontent/mthjoints.html

http://www.ce.cmu.edu/~garrett/courses/12-100/LECTURES/truss-analysis-ho.pdf (use 'save target as')

More generally, with forces and moments

http://www.roymech.co.uk/Useful_Tables/Mechanics/Statics.html

This seems useful and instructive (overview of BEAMTool) -
http://people.clarkson.edu/~dempsey/Papers/DempseyKaneKurtz(2005).pdf

And this for structural engineers - summary of analytical software
http://www.icivilengineer.com/Software_Guide/Structural_Analysis/

Well that's a start. :biggrin:
 
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Static problems are cool, but Structural problems are the best. I love having a good challenge. Especially those hyperstatic ones.

Remember for Static you only need to know some basic principles. Certainly easier than Dynamics. Althought they are not that different, they come from the same basic principle: Newton's Laws.
 

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