Dr. Hanson is literally such a supportive and helpful professor. Thank you for your videos! At my school, my engineering professors can be really intimidating and often advise students to change their majors after making even the smallest mistakes, which is really frustrating and not supportive. Thank you for making a positive difference!!
As an educator myself, I must compliment you on your videos. They are great! You break things down beautifully. Thank you for the videos and everything you do!
Really excellent presentation. I especially appreciate when you explained the significance of moment of inertia so we understand WHAT the number means (higher moment of inertia = higher resistance to bending = stronger shape). Thank you
It really has nothing to do with inertia. It is named "area moment of inertia" because the calculus that defines it is very similar to the calculus that defines moment of inertia in rotational dynamics. The essential difference is that the differential term is area, rather than mass. Second moment of area is a more accurate name. Moment in general means a quantity multiplied by a distance from an origin, added up with that value throughout a system. Second moment means that distance is squared as you calculate it. It comes about because fibers contribute to resistance to bending in two ways, that are both proportional to the distance from the neutral axis. The first way is that the fibers are stressed in proportion to how far they are from the neutral axis, and the second way is that the fibers contribute to resisting the applied bending moment with a "lever arm" that is the distance they are from the neutral axis. When you have a composite assembly of materials that form the beam, Young's modulus also plays a role in each term that gets added up. Beams of a uniform material put Young's modulus as a constant out in front when calculating deflection, because it is term that is the same for all fibers. Composite beams need to include the granularity of how Young's modulus applies to each portion of the beam specifically.
I've learned more from this youtube channel than the campus professor I'm paying thousands of dollars to teach me. Greatly appreciate the concise, well spoken lectures.
Dr Hanson u reli help me get through this semester exam on this topic as I am not good at maths beforehand. Thank you so much!! u r funny and easy to understand even though I come from Hong Kong.
Claims 80's music is the best generation of music, immediately references a mediocre song from the 2000's lol. God bless you sir your videos have been awesome. (Do heat transfer next!)
The idea behind composite beams, is that you use E as a factor to make a weighted average when finding the neutral axis. And rather than only working with the 2nd moment of area as a purely geometric property, you are adding up E*I for every sub-material within the composite. So your centroid is more like a center of elasticity and area, than purely a center of area. And your 2nd moment of area, is more like a 2nd moment of elasticity and area.
Dr. Hanson is literally such a supportive and helpful professor. Thank you for your videos! At my school, my engineering professors can be really intimidating and often advise students to change their majors after making even the smallest mistakes, which is really frustrating and not supportive. Thank you for making a positive difference!!
Whut! That is so mean of them
One of the best professors I have ever seen in my life keep it up sir love from India 🇮🇳
As an educator myself, I must compliment you on your videos. They are great! You break things down beautifully.
Thank you for the videos and everything you do!
Came here to say this!
8:02 Only TH-cam math tutor I've ever seen to diss 90s and 2000s music and then lead that into a formula lmao.
I'm reviewing subjects for PhD qualification and your teaching is really helpful, thank you.
He is a king among men, sharing this information with is in a way that can actually be understood. 👑
Really excellent presentation. I especially appreciate when you explained the significance of moment of inertia so we understand WHAT the number means (higher moment of inertia = higher resistance to bending = stronger shape). Thank you
It really has nothing to do with inertia. It is named "area moment of inertia" because the calculus that defines it is very similar to the calculus that defines moment of inertia in rotational dynamics. The essential difference is that the differential term is area, rather than mass.
Second moment of area is a more accurate name. Moment in general means a quantity multiplied by a distance from an origin, added up with that value throughout a system. Second moment means that distance is squared as you calculate it. It comes about because fibers contribute to resistance to bending in two ways, that are both proportional to the distance from the neutral axis. The first way is that the fibers are stressed in proportion to how far they are from the neutral axis, and the second way is that the fibers contribute to resisting the applied bending moment with a "lever arm" that is the distance they are from the neutral axis.
When you have a composite assembly of materials that form the beam, Young's modulus also plays a role in each term that gets added up. Beams of a uniform material put Young's modulus as a constant out in front when calculating deflection, because it is term that is the same for all fibers. Composite beams need to include the granularity of how Young's modulus applies to each portion of the beam specifically.
Great addendum to my teacher's class. Thank you for your care for your students and your sense of humor, Professor Hansen.
*Hanson. Sorry.
We going for speed! Thanks for speeding things up, Dr. Hanson.
I swear you are one of the best doctors i have ever seen, your way it is so easy and also entertainment, i love you dr, your son from Saudi Arabia 🇸🇦
"You like to move it move it" made my day 😂😂
Lova ya Jeff Hanson! Been saving me for the past 3 years of engineering lol
You’re helping me so much with my engineering degree, you’re an amazing teacher!! Much love from England !
Dr. Hanson has gotten me through my BSCE, FE Exam, and now my PE exam!! Keep studying, it gets better!
This man is a gift from heaven.. Khan academy must work with you
Nahh he is much better then khan academy, dont need to compare him.
@@mirwaisliwal6530 i didn't compare them.. youre the one who's comparing them... Smh🤦
DR. Hanson, thank you for an excellent presentation of the Parallel Axis Theorem and the Area Moment of Inertia.
I'm nearly at the end and actually really excited to see if you get the same answer twice.
Great video; taking design courses rn, so this is vid is a terrific refresher!
You are awesome at explaining! You are easy to follow! Love it!
Prof. Hanson: "what's the greatest generation of music?"
Me: "The 60's!"
Thank you Dr. Hanson! Your videos are helping me prepare for the PE
You are the best teacher I have seen in my entire Life.😍👍🏻
I've learned more from this youtube channel than the campus professor I'm paying thousands of dollars to teach me. Greatly appreciate the concise, well spoken lectures.
Dr Hanson u reli help me get through this semester exam on this topic as I am not good at maths beforehand. Thank you so much!! u r funny and easy to understand even though I come from Hong Kong.
how did you know we were going to answer 90s music
You're the best! I owe you my grade - thank you!
Thank you so much! That 80's music joke really helped me on my homework!
The Ad's music is the best he said
I love the sense of humor😁
Love from Nigeria
You saved me all the way to my 3rd year in college :D , please consider doing theory of machines , i need u in my life xD.
You just solved my assignments for me. Everything is clear like the voices of 80's female singers 😅
Thank you 😊
I am from the India and i love the way you are teaching us ❤
Ad'z squared 🤣🤣 Dr., you make learning FUN!!
My lecturer has miss some important and key concept that have explained by you in this video! thanks to have your video !
What a great teacher, I thought the 80s joke was funny!
Thank you a lot for the video!
Thank you for this free content!
Big help, thank you sir👊🏿
You are amazing dude, I am here doing Engineering at uni and honestly you explained it better than my tutor
Love your lecture... serious change the way I understood this topic ... Thanks 💯💯
I liked your 80s music :). Thank you about your helpful videos!
You are like an angel sent by God,... helpful video.. Thank you
Claims 80's music is the best generation of music, immediately references a mediocre song from the 2000's lol.
God bless you sir your videos have been awesome. (Do heat transfer next!)
Thank you so much sir for sharing your precious knowledge.
You saved today, I will be forever grateful!
Thank you so much this is really helpful 🙏🏽.
You are really a very good teacher Prof!!! Lord bless you!
I need to submit an assignment by tomorrow and this video saved me
Prof Hanson is the best in the world
Best teacher ever
The explanation is excellent
Now that's what i'm talking about! Was very helpful, Thankss
you are such a king
Thanks sensei
I have a feeling I will be a regular viewer of your videos
Thank you!
Exactly what I needed. luv u sir. thanks
Can you be my statics professor please? Mine sucks so bad and they have a Phd in Structural Engineering.
Best prof ever
thanks, it explained well
Is it the same process if cover plate was given?
Keeping this guy to myself so i dont make the curve to high in my class
Hello fellow Hansen
@@carultch unite!
Love your lessons sir, keep it up :)
Excellent teacher , thank you :)
static of inertia of composite beams pls? I can learn more if youre the one explaining it. thanks for all the vids
The idea behind composite beams, is that you use E as a factor to make a weighted average when finding the neutral axis. And rather than only working with the 2nd moment of area as a purely geometric property, you are adding up E*I for every sub-material within the composite.
So your centroid is more like a center of elasticity and area, than purely a center of area. And your 2nd moment of area, is more like a 2nd moment of elasticity and area.
thanks sir Jeff Hanson
best explantion with perfect joke
Sir very great teacher
Thankyou
it makes much more sense when you teach it. thank you!
8:10 "The 2000s...nothing good came out of 😂..."
thank you, you are the best!!
just thank you sir
Best Ever
Thanks 🌼
Thank you for explaining (d)
i could watch you just for entertainment!
may i know why do we want to move the centroid from the smaller pieces to the center of the big pieces
, sir
80's is correct MR!
Universities should pay you to train their professors on pedagogy.
I love you man
Lovvvveeee uuuu soooo much u made my life much easier 😻
loved your 80s joke lmao, also really useful explanation thanks
Thank u sir😇
thanks
veryyyyyyyyy helpful!
Hi! How can i get your book ? is there any pdf ? because i live in a far country ... or what's your books name ?
Look up R.C. Hibbeler, "Mechanics of Materials"
1990s is the greatest generation for music
Wow! So wrong!😘
God I love this man
GOAT
🐐🔥
At 12: 41 you accidentally wiped out the bottom of the two in the bracket, it then looked like a 7. Informative content nonetheless.
I agree 80s music ❤️
for some reason i am now using the Ad's joke to write the parallel axis formula😁😄👍
man has gotta hear more 2000s music fr
GOAT
I love U dude
Love u
You're a beast
A 1-L Lama is a priest.
A 2-L LLama is a beast.
A 3-L LLLama is a fire in Dorchester.
I love you
@@muhammadfawad2725 Michigan Technological University. hby?
LOVE U
80s = Ad^2 🎉😎 that's cool..