3 - Variation in τ for some representative cross-sections
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Practice Questions
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Define shear stress and shear force.
💡 Hint: Think of how forces act when bending a beam.
What is the purpose of the moment of inertia in beam theory?
💡 Hint: Consider how this impacts the shape and loading of a beam.
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Interactive Quizzes
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What does shear stress (τ) depend on for beam cross-sections?
💡 Hint: Think about the factors that affect how beams bend and carry load.
True or False: Shear stress in a circular beam is constant at all points.
💡 Hint: Reflect on circular shapes and how loads are distributed.
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Challenge Problems
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Given an I-beam with a total shear force of 500 N, width at the flanges = 150 mm, and height = 300 mm, calculate the shear stress at the neutral axis.
💡 Hint: Carefully compute the moment of inertia based on A and b values.
Analyze the shear stress variation for a circular beam of diameter 200 mm and total shear V = 600 N. How would you determine τ at different radial positions?
💡 Hint: Focus on understanding shear at centroid vs. outer radius.
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