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SUMMARY

The discussion centers on the application of Castigliano’s theorem in solving statically determinate problems in structural analysis. It confirms that since point B is a hinged joint rather than a support, there is no moment acting on the beam at that location. The participants agree that the solution presented is correct and emphasize the importance of simplicity in problem-solving.

PREREQUISITES
  • Understanding of Castigliano’s theorem
  • Knowledge of statically determinate structures
  • Familiarity with structural analysis concepts
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study the applications of Castigliano’s theorem in various structural scenarios
  • Explore the differences between hinged joints and supports in structural analysis
  • Learn about other energy methods in structural engineering
  • Investigate common mistakes in analyzing statically determinate structures
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in analyzing and designing statically determinate structures will benefit from this discussion.

tracker890 Source h
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Homework Statement
Dear Everyone:
Q:Please help me to understand why to solve the bending moment of Ma by using the energy method is different from the solution?
Relevant Equations
Relevant Equations as follows.
1597886321817.png


1597886350001.png


Thank you for your time and consideration.
 
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1597926556674.png
 
I'm not sure what energy method you are using, but since the problem is statically determinate, you don't need to know any rotation angles. B is a hinged joint, not a support, so there is no moment in the beam at B. The solution appears correct. Keep it simple.
 
Dear PhanthomJay
The energy method is Castigliano’s theorem and thank you for your help.

Castigliano’s theorem is ref. as follows:
1598087747590.png
 

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