Distortion Energy Static Failure Criterion; Von Mises Stress

LECTURE 12:
Here the Distortion Energy (DE) static failure criterion is developed and compared with the maximum shearing stress criterion. Concepts of hydrostatic and distortion strain are explored and explained. The elliptical failure locus associated with the DE criterion is shown and the DE estimation of yielding strength in shear is developed. An example is presented that demonstrates the process of using MSS and DE theories to find factors of safety for a part that experiences multiaxial plane stress at its critical point resulting from a single applied load. The load line associated with this applied load is plotted and the relationship between the applied load and the length of the load line is explored. The geometry the load line and the failure loci are related to the factors of safety for this example.
Playlist for MEEN361 (Advanced Mechanics of Materials):
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• MEEN 462: Machine Elem...
This lecture was presented on January 8, 2018. All retainable rights are claimed by Michael Swanbom.
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[@Felipe-53]

Sir, I can't THANK YOU enough for uploading such HIGH QUALITY content for free. I'm sure you're helping many engineering students like myself to really understand and appreciate the concepts and knowledge just exposed. You're making a difference for the education of many people.

[@TheBomPE]

You are very kind! I'm glad to hear my videos are helping some people. If you haven't already seen them, I have all of my lectures based out of the Shigley text collected in these two playlists: kzbin.info/aero/PL1IHA35xY5H5KqySx6n09jaJLUukbvJvB and kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS Thanks for the positive review, and thanks for watching!

[@michaelromefelt762]

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[@hopefullysoonaweldingengineer]

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[@vengion1379]

Wow, this was incredibly educative. Not only I recalled what I have learned in strenght of materials, I also understood the logic of factor of safety which I couldn't at my university. Thanks for the video.

[@TheBomPE]

Thanks for the good review! Glad you found it helpful!

[@ardaozkara5658]

This lecture really helped me for my Machine Elements final exam. Thank you a lot sir !!

[@TheBomPE]

Thank you! It sounds like you may have found them already, but if not you might be interested in my other content, organized into these 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!

[@sly4u247]

You are the best!!!! You’re lectures should be shown in other colleges.

[@TheBomPE]

You are very kind! I appreciate your support! 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!

[@RealGeorg3]

Very enjoyable. Excellent work.

[@TheBomPE]

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

[@vilivont4436]

Great, thank you

[@osmanjantalipjan5608]

it was an amazing lecture on this topic. thank you a lot professor. from an Uyghur mathematician best wishes to you.

[@TheBomPE]

I'm glad you enjoyed it! You may be the first Uyghur person I have ever communicated with! Thanks for watching!

[@jisoochoi674]

Thank you so much Sir, This lectures very helpful to study my Solid Mechanics lectures :)

[@TheBomPE]

I'm glad the videos are helpful! Thanks for the feedback! 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!

[@angelc6955]

Great stuff!

[@TheBomPE]

I'm glad you enjoyed it! I have two courses that I teach out of this text (Shigley), and I have a good number of videos presenting this material, organized into these playlists: MEEN361: kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS and MEEN462: kzbin.info/aero/PL1IHA35xY5H5KqySx6n09jaJLUukbvJvB Check them out if you are interested! Thanks for watching!

[@studywithsmartwork9953]

finally i got the result after watching your video thrice thank u alot

[@TheBomPE]

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

[@moeez-ul-haq8159]

thanks

[@TheBomPE]

You're welcome! Glad it helped!

[@bidhanpandey4020]

Hi sir! Why haven't we used the vertical shear stress in our calculations that arise from the vertical loading?

[@jiashengtang4268]

Thank you for the video! I have a question on the Strain Energy Density in the beginning of the video. I couldn't figure out how the equation is derived. Base on what I could find in text books, all those equation only consider a single stress component. I am curious on how this equation in your video is derived that contains sigma1 , 2, and 3?

[@TheBomPE]

I have good news! I have a video where I cover that question! Check this one out: kzbin.info/www/bejne/bJnZfHZ4icuWbKM As a matter of fact, this lecture is part of a course you might be interested in: kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS Thanks for watching!

[@saiprasadmohanty8339]

Awesome lecture sir, can you please tell where we can find your notes as well?

[@TheBomPE]

I've just set up an account with teespring to do merch on my channel. one thing i plan to make available very soon is lecture notes in electronic format. thanks for watching!

[@alexnguyennn]

I can't thank you enough for this video. my question is how you draw the load line in the 4th quadrant

[@TheBomPE]

In quadrant IV one in-plane principal stress is positive and one is negative. You just plot your two stresses and they make a load line. I'm not sure I understand what is giving you trouble?

[@alexnguyennn]

@@TheBomPE oh I see. I think it is too complicated. thank you Sir

[@danielsantiagosalomo]

What do I need to learn beforehand so I can understand this better??? just saying, not a engineering student. Thanks

[@TheBomPE]

This is a course for 3rd-year mechanical engineering students. If you have enough stamina, you might start by learning the "engineering mechanics" and "mechaincs of materials" content I present in this series of playlists: Freshman Level: kzbin.info/aero/PL1IHA35xY5H52IKu6TVfFW-BDqAt_aZyg Sophomore Level: kzbin.info/aero/PL1IHA35xY5H5sjfjibqn_XFFxk3-pFiaX Junior Level (where this video resides): kzbin.info/aero/PL1IHA35xY5H5AJpRrM2lkF7Qu2WnbQLvS Senior Level (in case you want to see where it leads after this): kzbin.info/aero/PL1IHA35xY5H5KqySx6n09jaJLUukbvJvB And of course all of it is built on the presumption that your algebra and calculus skills are good. Thanks for watching!

[@sergiozancanarojunior9353]

So, people say that Tresca is easier than von Mises because it's easier to find the principal stresses in plane stress, but with 29:00 equations there's no need to even find the principal stresses, am I right?

[@TheBomPE]

That is right, you can directly find the von-Mises stress without having to find principal stresses first. I have always found distortion energy to be more convenient because it does not have discontinuities. Thanks for watching!

[@abdullahsfarini7684]

you can watch it at a playback speed

[@TheBomPE]

Definitely! If I ever have to review my own videos, I basically always do it speeded up! Thanks for watching!

[@abdullahsfarini7684]

I love you

[@TheBomPE]

Love is from God, and whoever loves has been born of God and knows God. Even though I don't really know you, I love you too, because God first loved me. All the best to you!

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@@TheBomPE God is The Greatest

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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

[@malikahmed49]

The 4500 nm is the moment not the torques. why are you saying these are torques?

[@TheBomPE]

"Torque" is a term usually used by engineers to designate a moment applied around the long axis of a member. Both terms are valid for the 4500Nm influence. It is a torque around the BCD axis caused by the moment from lever DE.