Mohr's Circle for Stress: Derivation and Example | Plane Stress Transformations, Principal Stresses

LECTURE 05
Playlist for MEEN361 (Advanced Mechanics of Materials):
• MEEN 361: Advanced Mec...
Playlist for MEEN462 (Machine Element Design):
• MEEN 462: Machine Elem...
This lecture was recorded on December 7, 2018. All retainable rights are claimed by Michael Swanbom.
Please subscribe to my KZbin channel and follow me on Twitter: @TheBom_PE
Thank you for your support!

[@sinasalehi4889]

Hello Dear Professor; I am a student from Iran, and I must say that your teaching is very wonderful. You explain everything very easy and I am very grateful that you publish these tutorials for free so that students from all over the world can use them. I would love to meet you in person one day, and thank you very much for your wonderful efforts. Best regards; Sina

[@TheBomPE]

You are very kind! I'm glad you are finding the videos useful. Thanks for watching!

[@saravanashanmukham6108]

You convey perspective in an incremental and lucid manner, which is otherwise so obscure in texts! Specifically the explanation on Mohr's circle with parametric equation is excellent. Thank you!

[@drunkdonutboy]

I just want to commend you for the thorough content of your lectures. Not only do they include practical application but they break down the theory before doing examples it's great this content is gold.

[@TheBomPE]

Thank you for the great review! I'm glad you are finding my videos worthwhile! Thanks for watching!

[@michaeltamajong4659]

I felt like I was in the class. I hope I can be an engineer like you are. Thank you for this video.

[@TheBomPE]

I hope you become a BETTER engineer than I am! I'm glad you enjoyed the video!

[@michaeltamajong4659]

@@TheBomPE thanks, I am greatly encouraged by that. Your channel is one of the few, if not the only one I've seen, that have dealt with the 3d stress and strain transformation. Do you also teach thermodynamics?? I have observed that your method of online teaching is practically close to the in person approach.

[@saffanahnawsrah9035]

Im from jordan ...thank you for great explantion ,I told all my colleagues about your videos,Thank you

[@lubieplacki7409]

OMG, I'm so grateful for all your work, you can't even imagine. Thank you! Greetings from Poland :)

[@TheBomPE]

You're so welcome! Thanks for watching in Poland!

[@AravindUkrd]

This is a very good quality lecture. It deserves much more views than the 3.3k it has got as of now. Please consider doing one lecture about Mohr's circle for strains and for 3D stress state.

[@TheBomPE]

I agree! I should have a lot more views, haha! You might also be interested in these: kzbin.info/www/bejne/iGXco2aaZtyjabM kzbin.info/www/bejne/j3_VmX6FqMl3oqs Which are part of the playlist: MEEN 361: Advanced Mechanics of Materials: kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS Thanks for watching!

[@michaeltamajong4659]

I couldn't agree more. He should have more views.

[@TheBomPE]

If you found this video useful, consider helping me upgrade the old tablet PC I use to create these videos! Thanks! www.gofundme.com/help-replace-my-2011-tablet-pc

[@maria-assumptaoboteduok-ak9389]

I teach engineering students strength of materials. thanks for your expert explanations about Mohr's circle.

[@TheBomPE]

I'm glad you liked it! Thanks for watching!

[@Potentflowconsult]

Thank you once again rabi of mechanics of materials :)

[@TheBomPE]

Glad I could help! What industry are you in?

[@Potentflowconsult]

TheBom_PE I am doctoral student of engineering at the University of Denver in Colorado sir. Thanks for asking.

[@TheLucabondio12]

Fantastic lecture. Thank you very much !

[@TheBomPE]

Thanks! I'm glad you liked it! In case you haven't seen them yet and might be interested, here are some of my playlists: ENGR122 (Statics & Engr Econ Intros): kzbin.info/aero/PL1IHA35xY5H52IKu6TVfFW-BDqAt_aZyg ENGR220 (Statics & Mech of Mat): kzbin.info/aero/PL1IHA35xY5H5sjfjibqn_XFFxk3-pFiaX MEMT203 (Dynamics): kzbin.info/aero/PL1IHA35xY5H6G64khh8fcNkjVJDGMqrHo MEEN361 (Adv. Mech of Mat): kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS MEEN462 (Machine Design): kzbin.info/aero/PL1IHA35xY5H5KqySx6n09jaJLUukbvJvB (MEEN 361 & 462 are taught from Shigley's Mechanical Engineering Design) Thanks for watching!

[@TheLucabondio12]

@@TheBomPE I think I will watch most of them, thank you !

[@mohamedkhairytawfic1129]

very good job professor😍😍🥰 , but please some lectures aren't exist ( lec 4 , 20,21,25)can you please upload them ?? Thanks for your efforts

[@ephraimkanyambo4829]

Am doing Master of Structure engineering University of Dar-es-Salaam it helpfull in understanding some of concept aspecially state of stress and stress tensor but some option which am taking in Geotechnical Engineering

[@TheBomPE]

I'm glad it was useful to you! Here are some of my other playlists in case you haven't seen them yet and might be interested: ENGR122 (Statics & Engr Econ Intros): kzbin.info/aero/PL1IHA35xY5H52IKu6TVfFW-BDqAt_aZyg ENGR220 (Statics & Mech of Mat): kzbin.info/aero/PL1IHA35xY5H5sjfjibqn_XFFxk3-pFiaX MEMT203 (Dynamics): kzbin.info/aero/PL1IHA35xY5H6G64khh8fcNkjVJDGMqrHo MEEN361 (Adv. Mech of Mat): kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS MEEN462 (Machine Design): kzbin.info/aero/PL1IHA35xY5H5KqySx6n09jaJLUukbvJvB (MEEN 361 & 462 are taught from Shigley's Mechanical Engineering Design) Thanks for watching, and best of luck in your studies!

[@dogansahutoglu2073]

I love the point you made at min. 58:57, mohr circle is a tool LOL, when I tell to my colleague, who is professional engineer, to show me the results on Mohr circle he is scared hahah :)

[@arahhal61]

Well Done! Thank you

[@TheBomPE]

Thanks! I'm glad it was helpful!

[@ambasinha4993]

Thank you very much!! Really helpful lecture this is.. Currently I am learning FEA tool so could you please suggest in which sequence I should watch your videos for the proper understanding of Failure Theories.

[@TheBomPE]

Here are a few more in two categories: background and the failure theories themselves. Interesting for background: kzbin.info/www/bejne/j3_VmX6FqMl3oqs kzbin.info/www/bejne/pJ7NgaOYjthqnZY kzbin.info/www/bejne/bJnZfHZ4icuWbKM Static Failure Theories: kzbin.info/www/bejne/gXWwlJKpaZqtjc0 kzbin.info/www/bejne/eZCyc3yEbNSdlZY kzbin.info/www/bejne/hYKbgpaqhLJqpLM kzbin.info/www/bejne/jX2neqN8msl6epo Find the sequence of the entire course at this playlist: kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS I hope this helps! Thanks for watching!

[@ambasinha4993]

Thank you sir! it is helpful..

[@ephraimkanyambo4829]

lovely

[@TheBomPE]

Glad you liked it! Thanks for watching!

[@Frz1212-n3p]

Why sigma x and y divide to two? I am weak in mathmatic Please help me

[@dogansahutoglu2073]

Dear Dr. Michael Swanbom, Could you please provide the reference book are you following in the videos of Advanced Strength of materials ?

[@TheBomPE]

A very formal greeting! :) I use Shigley's Mechanical Engineering Design. Thanks for watching!

[@dogansahutoglu2073]

@@TheBomPE Awesome, thanks.

[@MuhammadAhmad-yu9kv]

Sir i am a little bit confused you said that the outer surface of a shaft in torsion is free surface but there is shear stress on that surface which is indeed maximum so there would be forces on the outer surface so how it could be free surface.

[@TheBomPE]

When there is a free surface it means no stresses, including shearing stresses, are applied directly to that surface. The material at the surface can still experience shearing stress, it just occurs on planes perpendicular to the surface.

[@ranjithkumars5206]

Greeting sir, how we relate the value of principle stress in designing of member

[@michaeltamajong4659]

It tells us the direction of crack. Usually, cracks occur perpendicular to the principal stress. One important thing I learned in mech of materials is that brittle materials (homogeneous and isotropic) will break at 45 deg when subjected to pure torsion. You can verify that using the stress transformation to get the principal angle in that case.