Practice Deflection - 6.2 | Torsion and Twist | Mechanics of Deformable Solids
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define torsion in the context of structural engineering.

💡 Hint: Think about how a corkscrew works.

Question 2

Easy

What is the formula for shear stress in a circular shaft?

💡 Hint: Recall the relationship between torque and radius.

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 formula for shear stress in a circular shaft?

  • τ = Tr/J
  • τ = T/J
  • τ = T/πr^2

💡 Hint: Remember the variables involved in the shear stress equation.

Question 2

True or False: The angle of twist increases with the length of the shaft.

  • True
  • False

💡 Hint: Consider the relationship defined in the equation.

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Challenge Problems

Push your limits with challenges.

Question 1

A solid circular shaft of radius 0.05 m experiences torque of 1000 Nm. Calculate the maximum shear stress and angle of twist if the shaft is 2 m long and made of steel with a shear modulus of 80 GPa.

💡 Hint: Break down the components: calculate J, shear stress, and then angle of twist.

Question 2

Design a hollow shaft for transmission that withstands a torque of 600 Nm. The available materials are aluminum (G=26 GPa) and steel (G=80 GPa). Determine the outer diameter if the inner diameter is 0.03 m.

💡 Hint: Consider the trade-offs between strength and weight to determine the optimal diameter.

Challenge and get performance evaluation