Practice Solution - 1.1 | 22. Question 1 | Solid Mechanics | Allrounder.ai
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1.1 - Solution

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define torsion and explain its significance in mechanics.

💡 Hint: Think about real-world applications like twisting a doorknob.

Question 2

Easy

What is the relationship between shear modulus, radius, and torsion?

💡 Hint: Recall the formula for maximum stress under torsion.

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 maximum shear stress in torsion?

  • τ_max = T/J
  • τ_max = Gκr
  • τ_max = MV/L

💡 Hint: Remember the components involved in shear stress.

Question 2

True or False: The torque is constant across cross-sections of a variable radius shaft.

  • True
  • False

💡 Hint: Consider the principles of torque balance.

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Challenge Problems

Push your limits with challenges.

Question 1

A cylindrical shaft made of varying radius is subjected to an external torque of 200 Nm. Calculate the twist and maximum shear stress if the radius varies from 10 mm to 20 mm.

💡 Hint: Focus on the J calculation using the variable radius.

Question 2

Design a beam from three different materials (steel, aluminum, and titanium) under the same torque. Determine the optimal material configuration to achieve the minimum twist.

💡 Hint: Consider how varying the cross-section and material choice affects overall stiffness.

Challenge and get performance evaluation