4 - Maxwell’s Reciprocal Theorem
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Practice Questions
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What does Maxwell’s Reciprocal Theorem state?
💡 Hint: Think about the relationship between two points in a structure.
What are the key assumptions of the theorem?
💡 Hint: List conditions that must be met for the theorem to be valid.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is Maxwell's Reciprocal Theorem?
💡 Hint: Think about how forces affect multiple points within a structure.
Is linear elasticity a requirement for Maxwell’s theorem?
💡 Hint: Consider what happens to materials outside their elastic limits.
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Challenge Problems
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A beam with a length of 10 m has point loads of 5 kN at points A and B, located at 3 m and 7 m respectively. Calculate the deflections at points A and B using Maxwell's Reciprocal Theorem.
💡 Hint: Use the formulas for deflection based on point loads and remember to verify that loading conditions are linear.
Discuss how Maxwell’s theorem applies when evaluating a statically indeterminate beam subjected to several loads. What additional principles might be involved?
💡 Hint: Think of balance between energy methods and static conditions in analysis.
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