Statics: Lesson 69 - Moment of Inertia, Composite Shape Method

Рет қаралды 177,765

4 жыл бұрын

𝐌𝐲 𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐢𝐧𝐠 𝐍𝐨𝐭𝐞𝐛𝐨𝐨𝐤 for notes! Has graph paper, study tips, and Some Sudoku puzzles or downtime between classes! amzn.to/3pTSZXw
𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐬 𝐏𝐮𝐳𝐳𝐥𝐞 𝐁𝐨𝐨𝐤 Sodoku, Mazes, Word Search, Word Scramble - 400 puzzles and solutions - Perfect Gift! amzn.to/3KxtS3L
𝐂𝐚𝐩𝐬𝐭𝐨𝐧𝐞 𝐃𝐞𝐬𝐢𝐠𝐧 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For your senior design project documentation! 100 pages of numbered graph papers. amzn.to/3OtZJ6z
𝐅𝐄 𝐑𝐞𝐯𝐢𝐞𝐰 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For you notes and work while preparing for the FE Exam. 100 pages of graph paper! amzn.to/3ONRILn
𝐏𝐄 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐒𝐓𝐀𝐑 𝐋𝐨𝐠 Record your projects in preparation of your PE application or for your annual review at work...(Situation, Task, Analysis, Results) amzn.to/3rjyAMp
𝐇𝐨𝐰 𝐭𝐨 𝐀𝐜𝐞 𝐒𝐭𝐚𝐭𝐢𝐜𝐬 Great book to review or have on your shelf to make sure you never forget Statics! amzn.to/455QRKM
Top 15 Items Every Engineering Student Should Have!
1) TI 36X Pro Calculator amzn.to/2SRJWkQ
2) Circle/Angle Maker amzn.to/2SVIOwB
3) Engineering Paper amzn.to/2K7vYbP
4) Mechanical Pencils 40pk amzn.to/2GGRG4y
5) Desk/Bed Clamp Reading Light amzn.to/2YzN5qG
6) Stainless Steel Rulers amzn.to/31aqMcP
7) Small Stapler amzn.to/2ynDOrk
8) Post it Tabs for Page Markers amzn.to/2SSIP4q
9) Noise Canceling Wireless Headphones amzn.to/3aMLbdY
10) Wireless Mouse amzn.to/2ROkY5Y
11) Multicolor Pen/Pencil amzn.to/3331AXy
12) Portable Charger amzn.to/2RsitHG
13) Backpack Rain Cover amzn.to/2Gq4ATM
14) Amazon Dot amzn.to/2Gs42g4
15) Portable Bluetooth Speaker amzn.to/3aIMZV0
This video is NOT sponsored. Some product links are affiliate links which mean if you buy something we'll receive a small commission.
Follow me on Instagram / jeff_hanson_phd
Please consider supporting the channel by subscribing, commenting, and liking each video. This moves these videos up the search list and helps me greatly. Thank you for watching.
My Patreon: / jeff_hanson Please help keep the free videos coming by donating. Thank you for the many blessings.
This video is copyrighted by the Jeff Hanson for the private use of our audience. Any other use of this video or any pictures, descriptions, or accounts of the video without written consent from Jeff Hanson is strictly prohibited.

Пікірлер: 80

@Dana__black 3 жыл бұрын

Thank you dad

@rockroll5422 2 жыл бұрын

THE FK is wrong with you?!

@Real_uMMActually 8 ай бұрын

LOL fancy seeing you here I’ve seen you on mma vids. Small world indeed

@chikanmao8326 3 жыл бұрын

Thanks for carrying me through.. glad i wont have to do this after today...you helped me cross the finish line

@GETurnt 10 ай бұрын

I'm pretty sure you've had to do it multiple times till now, myself coming back to this video thrice a year lmao

@georgesadler7830 2 жыл бұрын

DR. Hanson ,thank you for another awesome lecture on the Moments of Inertia and the Composite shape method. These topics are a combination of Physics and Statics.

@Oscar-gx2yf 3 жыл бұрын

You are the patron saint of statics thank you Jeff

@LouieOConnell-ih5ix 14 күн бұрын

Amazing explanations Jeff! Very much appreciated.

@claudiaromero2759 2 жыл бұрын

Great professor. I understood it completely !!!

@thomasschenk1831 8 ай бұрын

You make this fun Jeff. You are my slime. Many thanks!

@OneOneThree-wl7ml 2 жыл бұрын

Wow you really saved the day haha. This makes so much sense. You have a gift!

@anthonyconte8117 3 жыл бұрын

The moment of inertia for the cirlce in the second line should be 38.63 not 36.63. Dr.H says its 38.63 but writes down 36.63 the final answer should be 469.37 in ^4 if you round those totals to 2 decimals.

@samuelchuonyo7022 3 жыл бұрын

Another small problem is: he rotated the whole shape (and switched up b & h places)... But forgot to use the same "switch method" for the triangle.... The correct value for triangle alone is -124.5024m^4

@chrisperez4533 3 жыл бұрын

@@samuelchuonyo7022 No he did the triangle correctly.

@nickwhite5771 3 жыл бұрын

@@samuelchuonyo7022 The whole object is suppose to be rotated like this when solving for Iyy the triangle is treated the same as the rest.

@ld4677 8 ай бұрын

38.63…. Amazing how your mind can hear something different than you just read a loud to yourself…

@patrikengas6479 2 ай бұрын

thank you, that deviation bugged me😄

@tannerrosen3648 3 жыл бұрын

You’re the boss thank you

@richardle5110 2 жыл бұрын

Thank god I found this man before my exams god blesses

@CB-mh6dq Жыл бұрын

You are the reason im about to pass my final. A true God-send

@josuealvarez2525 2 жыл бұрын

It's Saturday Dec 11, 2021, 5:24pm, I've been working on the same statics problem for 2 hours. I don't know what's wrong. I come to youtube and I find you, Mr. Hanson. Thanks!! Just Thanks!

@BhupinderSingh-cf4rt 2 жыл бұрын

Haha same. My final is in 90 minutes and I was stuck understanding the moment of inertia too.

@tomm9966 3 жыл бұрын

This guy is freakin dope

@LANRIE-DEV21 5 ай бұрын

Kudos👍👍👍 to you, Mr Hanson.

@SIASOUKHTEH 3 жыл бұрын

thank you. what about the moment of inertia at left edge?

@JulianJArens Жыл бұрын

Huge help!!!!

@kentw3137 3 жыл бұрын

wow so amazing, thx

@kimmy4974 3 жыл бұрын

is there a way i can have the same book? i really love this channel!

@andrewbrown3733 3 жыл бұрын

Nice Lecture

@bryansaw7200 Жыл бұрын

broski i rate u fam

@gehadyasser1001 3 жыл бұрын

thnxxx so much ur a great teacher

@1972hattrick 2 жыл бұрын

good job

@panashemahadzva4278 3 жыл бұрын

You are the best 😘

@quinnrison9274 Жыл бұрын

Just want to mention the correct answer is 469.366 in^4. I say this because Jeff accidentally wrote down -36.63 in^4 despite saying -38.63in^4. Other than that amazing video thanks jeff

@mahdicfc1730 2 жыл бұрын

why you are teaching so coooool???🙌🙌😍😍😍

@fauzansyauqi2815 3 жыл бұрын

Thanks god for sending you here !

@selinsipal8693 3 жыл бұрын

thanks sir

@hannahrebeccaevelopez9704 3 жыл бұрын

Thank you so much Sir! May GOD BLESS YOU MORE 😇 💕 you're such a great teacher😊 If I were your child/student though I'm not I'm so very very proud of you😊😇

@judypak3886 2 жыл бұрын

bless up bless up!

@brandon.d 2 жыл бұрын

bless up ! Bless up!

@chiragno1368 2 жыл бұрын

Love from India 🇮🇳

@yebgarganera1842 8 ай бұрын

Ty sir Jeff

@BODYBUILDERS_AGAINST_FEMINISM 2 жыл бұрын

Can you teach some of my other classes as well? I have to retake a geologic hydrology class next semester and could really use some help lmao. Thank you for all of your help though seriously, I will recommend you whenever possible to those in need.

@estifanosgirmafissaha6307 5 ай бұрын

we love you jefff

@kevcopo Жыл бұрын

THE GOATTTTTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@fosyay1780 3 жыл бұрын

Nice

@rasheedataliep5757 3 жыл бұрын

thankkkk youuuuuuuuuuu xxxxxxx

@gabrialpetersen914 2 жыл бұрын

You saved me

@aphelelentlukwana2 3 жыл бұрын

May i please ask which type of a textbook are you using sir(name, author and edition)?/ which book would you recommend that i must use to get more practice for this module?

@rawadhasan9111 2 жыл бұрын

Engineering Mechanics 14th ed by Hibbler

@aquaflames5901 3 жыл бұрын

The Iy'=Iy+Ad^2 is the parallel axis theorem, right? For my professor, the Iy is on left and Iy' is on the right with the formula as Iy=Iy'+Adx^2. Which is right? Thanks so much for these videos! They're super easy to follow and comprehend. Thanks again!

@nathanjohnson9464 3 жыл бұрын

I believe the one on the left is correct.

@maths2bsquared172 3 жыл бұрын

if i may ask,which book is he using

@joshuaagbenyegah6962 2 жыл бұрын

I would want to ask the difference between bh³/3 and bh³/12 for the moment of inertia about the x axis.

@carultch Жыл бұрын

b*h^3/3 is for the 2nd moment of area of a rectangular shape, about the edge that has length b. b*h^3/12 is for the 2nd moment of area of a rectangular shape, about its center, through an axis that is parallel to length b Through the parallel axis theorem, also known as Steiner's Theorem, you can show that b*h^3/3 is related to b*h^3/12: I_edge = I_center + A*d^2 I_edge = b*h^3/12 + b*h*(h/2)^2 I_edge = b*h^3/12 + b*h^3/4 I_edge = b*h^3/12 + 3*b*h^3/12 I_edge = b*h^3/3

@zahozil3140 2 жыл бұрын

guys i have a question.If the problem tell us that we have to calcutate the inertia about the x axis, we find the cetroids of each shape and in the paralel axis theorem we take d to be the distance betwen the cetroid of the shape and the x axis?if anyone can responde thank you becuase i am pretty confused.

@engineeredchannel5649 2 жыл бұрын

No….on those problems all shapes are referenced from the x axis, not the centroid. I don’t know why authors use those problems.

@a_ditto5722 3 жыл бұрын

Hey jeff! Love the video, however i believe you have made a mistake near the end with the equation for the triangle. When completing your calculations you set up the formula for the rectangle so that you could swap base and height - you did this correctly when putting in the values to your formula. However, you did not swap the formula for the triangle yet you still switched the base and height values which i believe is incorrect? If I'm wrong please feel free to explain this to me as i'd love to know!

@eglencelialmanca5964 2 жыл бұрын

Hi mate there is no mistake.. the formula of the rectangle was firstly in the way that is used for Iyy but the formula for the triangle is other way around (Ixx).. for the circle it does not matter anyway(base = height).. in order to have them in the same way he changed the rect. Formula to Ixx too and he turned the whole shape 90 degree in his imagination and calculated the values accordingly.. i hope this helps

@MrAwesomePaul1 2 ай бұрын

how dare you question jeff

@terrancepage9163 Жыл бұрын

im confused on the last part. For the triangle equation, should the base be 3" and the height be 6" ? it seems Dr. Hanson had the opposite

@ropafadzochinzara7120 2 ай бұрын

I am wondering the same thing

@maths2bsquared172 3 жыл бұрын

professor if i may ask,which book were u using for this online series

@ukznukzn8015 3 жыл бұрын

@@britrossi4876 thanks man👍👍

@zozotto2437 3 ай бұрын

Im confused as to why you calculated x bar when the question is about y

@mukhunyimkay5126 3 жыл бұрын

why is the centroid axix of the triangle 1/3 not 1/2 of 3 ? n is it 1/3 of all triangles ? so confused .

@carultch Жыл бұрын

Because the mass isn't equally concentrated on both sides of the midpoint of the base. The centroid is therefore "weighted" closer to the altitude edge of the right triangle. Let the triangle be the area bounded by the x-axis and the equation: y = -h/b * x + h Each area element, has a width dx, and a height of y, and thus dA = y*dx The first moment of area (which I'll call mu) is integral r*dA. About the y-axis, r=x. Substitute in dA and get: mu = integral r*dA = mu = integral x*y*dx mu = integral x*(-h/b * x + h) dx, from x=0 to x = b Carry out the integral and get: mu = b^2*h/6 Divide mu by the area of the triangle, and get c, the distance from the y-axis to the centroid: c = mu/A c = b^2*h/6 / (1/2*b*h) c = b/3

@tylertorsiello8450 2 жыл бұрын

am i crazy or is the x value in the table for shape 3 6 not 7

@Cantgumbo2 2 жыл бұрын

he did correct. the triangle he used to subtract is not the one intersect with the circle but it is on the right upper corner that doesn't exist. Look carefully