7 - Maxwell-Betti-Rayleigh reciprocal theorem
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Practice Questions
Test your understanding with targeted questions
What does the Maxwell-Betti-Rayleigh theorem state?
💡 Hint: Think about the relationship between work and forces.
Define influence coefficient.
💡 Hint: It helps explain how much displacement results from a force.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Maxwell-Betti theorem state?
💡 Hint: Think about how forces affect displacements in different scenarios.
True or False: The influence coefficient only applies to forces and not to moments.
💡 Hint: Consider how moments would interact in mechanics.
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Challenge Problems
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Use the Maxwell-Betti theorem to find the displacement on a beam subjected to two different loads in sequential order. Define each step in the calculation.
💡 Hint: Think through how each load affects the beam and compare the displacements.
Analyze a rotating disk subjected to moments at different points and apply the reciprocal theorem to show its effect on angle rotated.
💡 Hint: Utilize your understanding of generalized forces in this context.
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