Practice Rectangular cross-section - 3.1 | 24. Non-uniform Bending | Solid Mechanics
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3.1 - Rectangular cross-section

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define shear stress in the context of materials.

💡 Hint: Think about forces acting parallel to the surface.

Question 2

Easy

What does the first moment of area (Q) represent?

💡 Hint: Consider how areas contribute to stress distribution.

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 shear stress typically measured in?

  • Pascals
  • Newtons
  • Joules

💡 Hint: Consider the units of force divided by area.

Question 2

True or False: The first moment of area is independent of the location within the beam cross-section.

  • True
  • False

💡 Hint: Think about how areas contribute to moments.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A rectangular beam of height 12 cm and width 6 cm is subjected to a shear force of 2500 N. Calculate the shear stress at a point 3 cm from the neutral axis, given that the moment of inertia I is 640 cm^4.

💡 Hint: Take care to set up the area calculations carefully for Q.

Question 2

You design a beam intended to carry a total shear force of 5000 N, with dimensions leading to a moment of inertia of 800 cm^4. Given the width remains constant at 8 cm, how does varying the height of the beam affect shear stress distribution?

💡 Hint: Consider how both area and inertia interact in the equation.

Challenge and get performance evaluation