Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
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
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.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an eigenvector?
💡 Hint: Think of vectors in a direction that does not change.
Question 2
Easy
What does an eigenvalue indicate?
💡 Hint: It is a scalar associated with an eigenvector.
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 primary purpose of eigenvectors in materials?
- To measure temperature
- To determine principal stresses and directions
- To calculate the volume of materials
💡 Hint: Consider how forces behave in different directions within structures.
Question 2
True or False: Principal stresses are eigenvalues derived from stress tensors.
- True
- False
💡 Hint: Reflect on how stress tensors relate to these concepts.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 2x2 stress tensor, compute the principal stresses and directions analytically.
💡 Hint: Start by calculating the determinant for the characteristic polynomial.
Question 2
Explain how you would approach designing a beam based on its principal stresses.
💡 Hint: Consider real-world applications in construction materials.
Challenge and get performance evaluation