Thank You for Your Consideration

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Discussion Overview

The discussion revolves around the application of Castigliano's theorem in solving a statically determinate problem in structural analysis. Participants are exploring the energy method used in this context and clarifying the role of specific joints in the system.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses gratitude for the consideration shown in the discussion.
  • Another participant questions the energy method being used, suggesting that for a statically determinate problem, knowledge of rotation angles is unnecessary and clarifies that joint B is a hinged joint, indicating no moment in the beam at that point.
  • A third participant identifies the energy method as Castigliano’s theorem and thanks the previous contributor for their assistance.

Areas of Agreement / Disagreement

The discussion contains differing viewpoints regarding the necessity of rotation angles in the energy method, indicating a lack of consensus on this aspect.

Contextual Notes

Participants have not fully explored the implications of using Castigliano’s theorem or the specific conditions of the problem, leaving some assumptions and definitions unaddressed.

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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