Statics 10.29 - Determine the ȳ, and then find the moments of inertia Ix' and Iy'.

Question: Determine the y, which locates the centroidal axis x' for the cross-sectional area of the T-beam, and then find the moments of inertia Ix' and Iy'.
Engineering Mechanics: Statics, 14th edition
Russell C. Hibbeler
Thank you guys for watching.
Please let me know if you have any comments or suggestions and also if you have any other problem you would like to go over with.

[@birgittaugblbang3542]

I have watched all the videos out there to figure this out. Only this one made me understand it fully! Thank you :)

[@LearningbyTeaching]

Thank you for the comment. I am glad to hear this :)

[@kamilahernandez4729]

I was finally able to understand this concept. Other videos just do the work without actually explaining what they are doing/why they are doing it. You are godsent. Thank you!!

[@LearningbyTeaching]

Happy to help :)

[@JoshitaB-cj3un]

please upload more videos these are so helpful ,thank you very much

[@MHBali]

thank you very much! this was very helpful to understanding the concept

[@LearningbyTeaching]

Thanks for the comment Mohammed :)

[@Tavo88Spurs]

thank you.... i was able to complete my hw

[@abdalrahmanjaber8473]

that's amazing, please more questions about this topic , thank u .

[@LearningbyTeaching]

Thank you! I will upload in a couple of days one more :)

[@LearningbyTeaching]

Hello, I uploaded a new video of this topic.
Here it is: czcams.com/video/gX9r4akWvt4/video.html

[@Telco12]

thank you currently relearning everything for FE exam

[@chrisa565]

That was really useful, thank you sm

[@LearningbyTeaching]

Glad it helped Chrisa!

[@muhiddeny.misbak542]

I feel like the centroids are wrong. The first rectangle should have y=160mm since y=150mm + (20mm/2) and the second rectangle should be y=75mm since 150mm/2 = 75mm. The total yA should be 705000 mm^3 and when you divide it to the total area which is 6000 mm^2. So, the centroid of the composite object should be around 117.5 mm.

[@faithapostolides7090]

You both found the same answer, you measured from the bottom and he measured from the top. The diagram has the y hat measured from the top so that's why he did it that way. 117.5 (your answer)+ 52.5(his answer) = 170 (the total length).

[@8PSIandUp]

@@faithapostolides7090 Thank you for taking the time out to clarify, I have been stuck wondering why he did it from the top and why my answer is so skewed

[@hussain901]

Thanks alot!

[@LearningbyTeaching]

Hello, you are welcome and I am happy to help!

[@ashvitasgarage7152]

Wow... Thank you so much sir👌

[@LearningbyTeaching]

You are very welcome. I am glad to help! ☺️

[@ashvitasgarage7152]

Subscribed ur channel sir😄

[@LearningbyTeaching]

@@ashvitasgarage7152 Thanks 🙏

[@noura-9716]

Thank you

[@LearningbyTeaching]

I am happy it was helpful for you :)

[@shienamae5736]

Why is there a value for dx when the centroids of the figures lies on the axis? Shouldn’t it be zero instead?

[@Gerry363c]

Where did the 52 came from? The one you subtracted from 10 when finding y inertia

[@Gerry363c]

X inertia

[@luyanda_siphiwe_mdletshe]

isn't Ix= Ix'+(d^2)*A ??

[@stevenl7878]

You keep saying cubed for the area.. Don’t you mean squared?

[@Miistik]

I am a bit confused, why in this video the distance of y^- is used while in the 10.36 video only half of both figures were taken? I mean that in this one the centroid distance had to be solved while in the other one it was only divided by 2.
here is the video: czcams.com/video/gX9r4akWvt4/video.html

[@LearningbyTeaching]

Hey Michael. The reason why in this video we had to find Y^- is because its not a symmetrical object around the horizontal line. In this video we have a "T" beam and in the other video (10.36) is an "I" Beam which it is symmetrical.

[@Miistik]

@@LearningbyTeaching aaah thank you so much! 🙌