Practice Governing equations - 1.2 | 28. Timoshenko Beam Theory | Solid Mechanics
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1.2 - Governing equations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the two independent variables in Timoshenko Beam Theory?

💡 Hint: Think about what differentiates Timoshenko from Euler-Bernoulli.

Question 2

Easy

Write down the formula for average shear stress.

💡 Hint: It's about force distribution over an area!

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 main distinction of Timoshenko Beam Theory from Euler-Bernoulli?

  • It ignores shear deformation
  • It accounts for shear deformation
  • It uses only bending stress

💡 Hint: Consider what effects shear has compared to bending.

Question 2

True or False: In Timoshenko Beam Theory, deflection and rotation are treated independently.

  • True
  • False

💡 Hint: Think about their relationship in equations.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A cantilever beam with a length of 5m is subjected to a point load of 1000N at its free end. Calculate the shear force and bending moment profile along the beam first using Timoshenko Beam Theory.

💡 Hint: Identify shear and bending effects distinctly throughout the beam.

Question 2

A Timoshenko beam with a rectangular cross-section experiences a shear force of 200 N and has a width of 0.1 m and height of 0.2 m. Calculate the average shear stress and compare it to calculated shear strain using the governing equations.

💡 Hint: Remember to apply TBT's unique equations for shear strain!

Challenge and get performance evaluation