Understanding the Area Moment of Inertia

The area moment of inertia (also called the second moment of area) defines the resistance of a cross-section to bending, due to the shape of the cross-section. It is a key parameter for the analysis of beams and columns.

In this video I take a detailed look at the area moment of inertia, how's it calculated, and how it's used. I also cover key related topics, including the polar moment of inertia, the parallel axis theorem and Mohr's circle for moments of inertia.

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The Efficient Engineer is a channel aimed at mechanical and civil engineers. The mission is to simplify engineering concepts, one video at a time!

[maliakbulut]

Why square of distance?
Why we multiply dA with sqaure of distance?
What is the physical meaning of square of distance here ?

[beatrizremigio]

Anybody can understand engineering, all it takes is a good teacher!

[jetjagaur]

Even though I graduated with a bachelor's in MechE I felt like we were always rushing to cover material that I never developed the intuition on this topic. Thank you for filling in that I-beam hole!

[raphaelwong]

This man is the 3Blue1Brown of engineering concepts. The clear and concise explanations, coupled with excellent animations makes me remember why engineering is so great!

[noahbrown]

the fact that i spent four hours pulling my hair out over this at uni and gave up for the day, and in 11 minutes i now feel like i understand. all i can say is thank you!

[yogasciencemusic]

In my lifetime I have never seen such a good illustration for teaching engineering subjects. Amazing job. Please keep posting more videos. I personally love it so much. Many thanks! 👍✨

[alameen]

Only someone who truly understands a subject can explain it in simple terms, and I believe you are one of those people. Thank you.

[mohitdeshpande]

I don't think I could've found a better online teacher for Mechanical subjects than you! The material you have provided is simply amazing, thank you very much! :)

[Danielagostinho]

I feel so bad for giving so much money to college and none for you :(

[JA-yibs]

Another classic case of a single YouTube video simply summing up a whole semester of university. Great content mate!

[ryanbolen]

Thank you for providing such clear explanations of engineering topics. The comments are right: THIS IS HOW ENGINEERING SHOULD BE TAUGHT! I've had 3 hours of lectures and read 2 textbooks on this topic and I didn't really understand it until I watched your 11-minute video. The same is true for your videos on Shear Force & Bending Moments and Understanding & Analyzing Trusses. These are clear, concise, and understandable. Just in time for summer finals, too! Honestly, thank you!

[ThePhilFella]

4 years of structural analysis for a Civil Engineering degree, and this is the first time I actually understand area moment of inertia. :)

[mugishalionel]

there is a saying of Albert Einstein that says ''if you cant explain it simply u dont understand it well enough'' I hope u can understand why Teachers get hard time to explain sth very simple like these. Thanks for this video, I now understand things that I learnt 2 years ago just within some minutes with simply explanations.

[Bharat_NITK]

Formulas:
2:46 Area Moment of inertia
5:00 Parallel axis theorem
7:20 Area MOI vs Mass MOI
9:34 Perpendicular Axis Theorem
10:13 Rotation of Reference Axis

[neroddragon]

ENG + Graphic Design = OutOfThisWorldLearning
11 min video > 2 hour lecture.
Thank you for this, your amazing.

[steveschein]

Back in the day while taking my electrical engineering core courses we were required to take things like statics and dynamics. It's really too bad that my professors didn't provide such basic instructions and insight. I may not have taken so long to figure out what on earth they were talking about! Keep up the good work.

[promithaldar]

Being a student of IIT G and going through a rigorous ME course, your videos helped me develop a practical sense to these things

What a wonderful! Happy to see someone dedicated to the principle of engineering . Keep it coming

[deesesarte]

The result of combining engineering, mathematics, arts, esthetics, composition, color theory, didactics, 3D modeling, rendering, virtual animation and video editing... Something this good engineer understood and took the time to develop it... Cheers from an architecture student!!

[andrenedaei]

What a great video. Summarizing at least 100 pages of solid mechanic books in 11 useful and valuable minutes is just beautiful.