Practice Fundamental Period Estimation - 5.11.2 | 5. Degrees of Freedom and SDOF | Earthquake Engineering - Vol 1
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5.11.2 - Fundamental Period Estimation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for calculating the natural period (T)?

💡 Hint: Think about how mass and stiffness are related to vibration.

Question 2

Easy

Define effective mass.

💡 Hint: Consider which mass affects the overall motion.

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 to calculate the natural period (T) of an SDOF system?

  • T = 2π√(m/k)
  • T = m/k
  • T = k/m

💡 Hint: Remember how mass and stiffness interact.

Question 2

True or False: Effective stiffness is not essential for determining the natural period of a structure.

  • True
  • False

💡 Hint: Think about what stiffness impacts in a structure's movement.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a bridge with a mass of 8000 kg and stiffness of 25000 N/m, calculate the natural period and discuss its implications for seismic design.

💡 Hint: Use the natural period formula and consider its effects on design.

Question 2

A building is designed with varying effective stiffness across its floors due to architectural features. Describe how an engineer would approach estimating the natural period.

💡 Hint: Consider how multi-directional features might complicate calculations.

Challenge and get performance evaluation