Practice Variation of σ in the cross-section - 1.2 | 24. Non-uniform Bending | Solid Mechanics
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Knowledge

1.2 - Variation of σ in the cross-section

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for calculating σ in the context of non-uniform bending?

💡 Hint: Think about how bending moments relate to stress.

Question 2

Easy

What does τ represent in mechanical systems?

💡 Hint: Consider forces acting parallel to a cross-section.

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 is the primary factor that causes variation in σ across the beam's cross-section?

  • Constant load
  • Variable bending moments
  • Shear forces

💡 Hint: Think about which forces cause bending.

Question 2

True or False: The shear stress τ is assumed to be a function of both y and z in the analysis.

  • True
  • False

💡 Hint: Reflect on the simplifications made in calculations.

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Challenge Problems

Push your limits with challenges.

Question 1

A steel beam with a rectangular cross-section experiences a non-uniform load giving rise to varying bending moments. Analyze the stress distribution and calculate σ at three key points of the beam.

💡 Hint: Break down the stress at each location with the formula provided.

Question 2

For an I-beam under loading, derive the shear stress distribution analytically and graphically depict how τ varies from the neutral axis to the edges.

💡 Hint: Pay attention to how I-beams have distinct width regions and adjust calculations accordingly.

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