3.1 - First Theorem (For linearly elastic structures)
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Practice Questions
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What is deflection?
💡 Hint: Think about how a beam bends under weight.
What does the First Theorem express?
💡 Hint: Recall the formula from our session.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the First Theorem allow us to calculate?
💡 Hint: Consider what quantities are related to load in structural analysis.
True or False: The total strain energy is used to find the maximum deflection in a structure.
💡 Hint: Remember how energy relates to deformation.
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Challenge Problems
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A cantilever beam of length 4 m is subjected to a point load of 500 N at its free end. Calculate the deflection using the First Theorem.
💡 Hint: Remember the relationship between bending moment and strain energy.
Discuss the implications of ignoring the First Theorem when designing a multi-story building.
💡 Hint: Consider both immediate effects and long-term stability.
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