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 the mathematical expression for a point load applied at the center of a simply supported beam?
💡 Hint: Think about where the load is positioned on the beam.
Question 2
Easy
What type of function is the Dirac delta function?
💡 Hint: Consider its properties discussed earlier.
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 does the Dirac delta function model?
- Continuous force
- Idealized point effect
- Distributed load
💡 Hint: Recall the key features of the Dirac delta function.
Question 2
True or False: The impulse function can be expressed through the Dirac delta function in the time domain.
- True
- False
💡 Hint: Think about the properties of impulses in dynamics.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A simply supported beam of length 10 m is subject to a point load of 500 N at its center. Derive the deflection at the midpoint of the beam using the Dirac delta function and given E = 200 GPa, I = 5000 cm4.
💡 Hint: Break down the governing equation and apply integration techniques.
Question 2
Analyze the response of a mass-spring-damper system under an impulse F(t) = 1000δ(t). Calculate its system response given m=1 kg, k=100 N/m, and b=10 N·s/m.
💡 Hint: Use the characteristic equation of the system and determine the form of the response due to this impulse.
Challenge and get performance evaluation