Practice Variation in τ for some representative cross-sections - 3 | 24. Non-uniform Bending | Solid Mechanics
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3 - Variation in τ for some representative cross-sections

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define shear stress and shear force.

💡 Hint: Think of how forces act when bending a beam.

Question 2

Easy

What is the purpose of the moment of inertia in beam theory?

💡 Hint: Consider how this impacts the shape and loading of a beam.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does shear stress (τ) depend on for beam cross-sections?

  • Material type
  • Shear force and geometry
  • Applied loads

💡 Hint: Think about the factors that affect how beams bend and carry load.

Question 2

True or False: Shear stress in a circular beam is constant at all points.

  • True
  • False

💡 Hint: Reflect on circular shapes and how loads are distributed.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation