Principal of Superposition + Maxwell Reciprocal Theorem

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SUMMARY

The discussion centers on applying the Principle of Superposition and the Maxwell Reciprocal Theorem to determine the reaction force at point C in a structural analysis problem. The user identifies three unknown forces (Ra, Rb, Rc) but struggles with formulating the compatibility equation due to insufficient clamping conditions. The Principle of Superposition is clarified as the method of summing deflections from multiple forces to find the total deflection. The conversation highlights the need for a deeper understanding of the force method to solve the problem effectively.

PREREQUISITES
  • Understanding of the Principle of Superposition in structural analysis
  • Familiarity with the Maxwell Reciprocal Theorem
  • Knowledge of equilibrium equations in mechanics
  • Basic concepts of compatibility equations in structural engineering
NEXT STEPS
  • Study the force method in structural analysis
  • Review tutorials on compatibility equations
  • Learn about the application of the Maxwell Reciprocal Theorem in practical scenarios
  • Explore examples of calculating reaction forces in indeterminate structures
USEFUL FOR

Students and professionals in civil and structural engineering, particularly those focusing on structural analysis and mechanics.

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Homework Statement



http://img412.imageshack.us/img412/4712/abcww1.jpg


Homework Equations



Using Compatibility Equation & Prinicipal of Superpositon to find Reaction force at C.
Using Principal of Superposition and Maxwell Reciprocal Theorem, to find out Reaction force at C. State experiment procedures.


The Attempt at a Solution



I know there are 3 unknown forces Ra,Rb and Rc. and only 2 equilibirum equations of Rotational and Vertical/Horizontal. But I've no idea how to attempt to find the compatibility equation, any tips? I know that principal of superpostion means that when u clamp 1 side and put 2 different forces with 2 different deflections, u add them up and that is the defelection for the force added from the 2 difference forces. But how am i suppose to find the reaction force at C when the sides are not even clamped?


Help help help! i really don't know where to start with and how to solve this problem. any tips will be greatly appreicated.
 
Last edited by a moderator:
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Are you familiar with the force method? There is a tutorial on it in the Math & Science Tutorials section.
 
radou said:
Are you familiar with the force method? There is a tutorial on it in the Math & Science Tutorials section.


thanks for replying. may i know where is the tutorial? i can't seem to find it. Do you mind eleborating on the force method? Thanks =)
 

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