Practice Thick-Walled Cylinders - 3 | Pressure Vessels | Mechanics of Deformable Solids
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

3 - Thick-Walled Cylinders

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a thick-walled cylinder.

πŸ’‘ Hint: Think about the relationship between wall thickness and radius.

Question 2

Easy

What is radial stress?

πŸ’‘ Hint: Consider the direction in which this stress acts.

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 defines a thick-walled cylinder?

  • t < r/10
  • t = r/10
  • t β‰₯ r/10

πŸ’‘ Hint: Think about how thickness relates to the radius.

Question 2

Is Lame's equation applicable to thin-walled cylinders?

  • True
  • False

πŸ’‘ Hint: Consider the characteristics of thin-walled conditions.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a thick-walled cylinder with an inner radius of 10 cm and a wall thickness of 2 cm subjected to an internal pressure of 3000 kPa and an external pressure of 1000 kPa, calculate the radial and hoop stresses at the inner and outer radii using Lame's equations.

πŸ’‘ Hint: Set up two equations for internal and external conditions to solve for constants A and B.

Question 2

Why might a thick-walled cylinder fail if only thin-walled assumptions are applied? Discuss the consequences of this miscalculation.

πŸ’‘ Hint: Consider how stress affects material strength and structural integrity.

Challenge and get performance evaluation