Practice Representation of displacement gradient - 1.3 | 19. Strain Matrix in Cylindrical Coordinate System | Solid Mechanics
K12 Students

Academics

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

Professionals

Professional Courses

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

Games

Interactive Games

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

Typing
Memory
Math
English Adventures
Knowledge

1.3 - Representation of displacement gradient

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula representation of displacement in cylindrical coordinates?

💡 Hint: Consider breaking it down into its components.

Question 2

Easy

Define a gradient in physical terms.

💡 Hint: Think about how it relates to direction and rate of change.

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 a displacement gradient?

  • A measure of total force
  • A measure of how displacement varies
  • A type of strain

💡 Hint: Think about how displacement is analyzed in various materials.

Question 2

True or False: The basis vectors in cylindrical coordinates do not change with respect to the angle θ.

  • True
  • False

💡 Hint: Recall how the basis system is defined.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A hollow cylinder experiences a radial displacement of 2 mm and circumferential displacement of zero. Calculate the components of the displacement gradient matrix and discuss its significance.

💡 Hint: Focus on substituting into the gradient definitions.

Question 2

Consider a cylindrical shell with a displacement gradient matrix showing significant shear terms. Discuss what these terms imply about the internal forces occurring within the cylinder during deformation.

💡 Hint: Think about the implications of shear stress.

Challenge and get performance evaluation