Practice Cantilever Beam - 15.6.2 | 15. Mode Shapes | Earthquake Engineering - Vol 1
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.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a cantilever beam look like during the first mode of vibration?

💡 Hint: Think about the shape of a wave.

Question 2

Easy

What is a mode shape?

💡 Hint: Relate it to how structures respond when they vibrate.

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 kind of shape does the first mode of a cantilever beam resemble?

  • Square
  • Circle
  • Sine waveform

💡 Hint: Think of the simple wave motion.

Question 2

True or False: The second mode shape of a cantilever beam has a single curvature.

  • True
  • False

💡 Hint: Focus on how the vibration alters shape.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A cantilever beam is used in a structure subject to dynamic forces. How would you evaluate if its design is sufficient for the second mode shape?

💡 Hint: What happens when the frequency of external forces matches natural frequencies?

Question 2

Discuss the implications and potential failures that could occur if a cantilever beam design does not consider mode shapes.

💡 Hint: Think about how ignoring vibrations could affect stability.

Challenge and get performance evaluation