Understanding Plane Stress
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- Опубликовано: 9 фев 2025
- In this video I take a look at plane stress, an assumption used in solid mechanics to simplify the analysis of a component by turning a 3D problem into a 2D one.
For a plane stress condition to be applicable, all of the non-zero stress components should be acting in the same plane.
Plane stress is particularly relevant for thin components which are loaded in a single plane.
In the video I look at three examples of plane stress - a thin perforated plate, thin-walled pressure vessels, and thin gears.
The Efficient Engineer is a channel aimed at mechanical and civil engineers. The mission is to simplify engineering concepts, one video at a time!
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As a visual learner, I cannot thank you for these animations enough. This channel is truly a blessing!! So underrated
You are not a visual learner:- Veretassium
there is no such thing as visual learner
@@vedantkaushik6292 i think 100+ people would disagree ;)
@@rhymejpeg, learning styles don't exist. It's a myth. Using multiple senses and strategies can help, tho.
Just watching isn't as efficient as watching, listening and writing at the same time 'cause you're using different parts of your brain.
Also, make sure to sleep 6-8 hours regularly. Otherwise, your brain might get foggy 'cause you're overworking.
4 years later and im still astonished by how visual and understandble this videos are. truly grateful !
Great video, loved it!
I think you meant 3x3 matrix at 2:47.
Same here !
Maybe he got confused and multiplied 3×3 since it's equal to 9 😅😅😅
Yep, that's exactly what happened! 😁
slight slip of tongue, that's okay dude
So many times I have tried to understand stresses in thin and thick cylinders but the way you introduced the concept of 2D stresses for thin and thin cylinders was eye opening.
Why can’t uni professors teach like this?
absolutely.
@@uathavia1 good question
Because they can't animate a video like this
@@ShauriePvs Because they are lazy and they do their job for money:) Also, they are scientists, not engineers.
Easy, they've got shit to do besides teaching, it's mainly a matter of time. It's not because they don't care about lectures (ok a few of them clearly don't in my experience, but still...) I'm sure many of them could produce videos of similar quality if they had the animation skills.
Can’t believe that a free RUclips video is much more useful than a class that we pay thousands of dollars for. Thanks!
Easy to understand, thank you, i talk spanish but i understand all the concept, sometimes its hard to understand but because the way they explain, you make it easy and simply.
U R right , Im an Iraqi engineer but I have understood every thing in this video . Would you mind if I get your FACEBOOK account to add you as a new friend ?
I’m new in this channel, but it looks like it wants to cover all the knowledge of mechanical engineering. I think that’s an excellent initiative!
P.S. I think this video can be extended a lot covering the behavior of thin walls (from airplanes for example) when flexure and/or torsion are applied in opened and closed sections
Really apprecitae your work as a civil enginnering student , This channel should get Billions of Subscribers.
My Favorite channel regarding concepts of structure mechanics ,it helps me a lot.
Your video sparks joy
Could you please make one on Plane Strain? I'm a mechanical engineer postgraduate student at UWA, Perth. Your videos help me understand my courses so much better!
I'm also looking forward to the video which explains plane strain. I feel like plane strain condition is only relevant in fracture mechanic.
There's a torsion connection point in the cylindrical rod of stress strain relationship.
In another video
@@changw_w9413 plain strain and stress can be applied to torsion between dipole pressure changes in crust. Earthquake math
Wow 😍😍😍😲 One stop to clear all happening of assumptions. Excellent👍
Hey Efficient Engineer, thank you for making us visualize these concepts so wonderfully through your videos. Please let me know how can I support you.
You can support him through his patreon: www.patreon.com/efficientengineer
Please do for fluids, and thermals also...love from INDIA💖
You are awesome bro. Rain more civil and mechanical engineering videos on your channel. More power to you!
wow ! i had never been understanding the concept until today, thank so much , i hope you share more videos!
the future of learning and teaching
Amazing video. Love your explanations and the animation!. Keep churning out the nectar 👍
Such great information and narrative skills
Great video! I would like to add one more quick sanity check before going into idealizing a problem into plane stress one. Check if there is any possibility of the body to fail in the direction we assume stresses are zero. For eg, a thin plate won't experience shear load relative to top and bottom surfaces since the distance is very small along the thickness. Also, we cannot split a 5mm plate into two pieces of 2.5mm. So for these type of cases we can assume shear and normal stress are zero.
Brilliant!
I love these amazing simplified explanations!
quick correction, @2:45 its a 3 by 3 matrix not 9 by 9, thanks for the great vid anyway
Thank you very very much, you did an awesome job at creating those wonderful animations and concept is really well explained.
The animation is absolutely great.
Very visually appealing. Thank you.
please make a video on plane strain condition also...
dear thanks a lot for clearing my concepts
Plz upload more videos related to mechanical engineering if possible.
OUTSTANDING 3D EXPLANATION👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍
Ohh god, you're a life saver my man, thanks a lot!
Though I have no background in this field, I am currently learning soil mechanics and found this video to be very informative. However, I couldn't understand the assumption as to why the stresses in z-direction is close to zero! Would be helpful to know that.
Hi Narendra. Normal and shear stresses at a free surface are always zero, since there is nothing on the other side of the surface for the stresses to react against. Because the thickness in the Z direction is small, the stresses between the two free surfaces can't build up to significant levels, and so are close to zero all the way through the thickness. Hope that makes a bit more sense.
@@TheEfficientEngineer What is the definition of free surface?
If there is no force acting perpendicular to a surface, is that surface called a free surface?
Tks for another great videos. You taught me more than textbooks and profs at my university. Btw, can you make one video about plane strain condition? Still a bit confused about these two.
Best video i have seen on this topic. Great work @Theefficientengineer. Can you make one video on Entropy and Available Energy as well.
For problems like these sometimes you just need to calm down
Plan strain is like sausage where force is identic along the sausage, and plan stress is like chips. Hope to have some videos about static or dynamic stiffness, or some FE methods. Since a lot of engineer in their work have to do some optimisation on stiffness or have some local stress problems, during their design of structure. You can takes some exemples to show which I think will be very interesting>
Amazing explanation!
I m mech. eng. and I really like this channel. I think you can take video for plane strain model.
Best explanation..
Awesome video, thank you!
Thank you so much for this video!
Great work
Your channel's videos are damn beautiful to enjoy & understand simultaneously..... Please start such video series on thermodynamics & heat transfer concepts also.....🙏
Thank you sir, I'm in india your video was very good and easily understand concepts.really it's make efficient engineer, Please upload more video on fluid mechanics, thermodynamics, engineering mechanics, heat transfer,
theory of machine, design of machine element, refrigeration and air conditioning, ic engine and powerplant engineering
Great video!
Awesome video. Wish it were longer like the rest tho 😊
Short and understandable ❤️❤️ Thank you
Thank you for your videos. Please do the Plane Strain video!
great work .;; and keep going
Very nice video
Very informative thank you🙏
Loves technology only for.....better understanding things related to study.😍😘
Support from India
We will see the stress tensor in viscosity analysis, or other fluid mechanics.
More CIVIL ENGINEERING TOPICS please
Would it be possible to do a video on residual stress, what they are, how they change due to manufacturing process for example and how they are measured in the lab, etc.
Great idea, thanks Jon! Will have a think.
@@TheEfficientEngineer what happened regarding to residual stress ?
@@TheEfficientEngineer can u please make a video on residual stresses?
It makes me your subscriber.... Thnks man....
WOW ITS AMAZING
Can you please do a video explaining the other cas, I mean when plane stress not applies and how to treat this case ?, thank you in advance for your effort .
nice one! thanks !
I absolutely love your videos, though that BGM is making it hard for me to concentrate!
Need a video on principal stress
Awesome and thank you😊😊
what do you call the stress inside the cockpit when your pilot instructor yells at you everytime you make mistakes?
so good .. keep going
love you brother
Thank you!
Nice video Sir.Can you please make a video on thin and thick cylinder
Thank you for the video! I just wanted to ask if plane and surface stress are different things?
sir please make lot of videos on mechanics of materials and fluid mechanics also
at 1:08, why would there be stresses in the Z direction if all loads are in the xy direction? What would cause the stresses in the Z direction?
Your kungfu is strong.....you just shredded a constantly complicated topic to dust 😂.... thank you..
Should've found this video earlier on in the semester lol
In the case of a beam loaded along y-axis and bending about z. Is it reasonable to reduce the stress state to xy plane? Because no forces are acting along z
Great video, thank you so much.
Just one question about the pressure vessel's wall approximation: considering that the fluid inside of it is applying a pressure on the walls, is it ok to consider a plain stress approximation?
Imagine a scenario with a very high pressure inside of it. Wouldn't that affect the vessel's walls?
Thank you very much.
super. please make more videos
Thank you very much
Great videos; just please lower the music. Thank you very much!!!!
Hi. Thanks doe the geest video. Do you have any sources of this subject? I need it for a scool project, thanks!
THANKS FROM TURKEY.
You mean 3 x 3 matrix at 2:45 ? instead of 9 x 9 ?
At 3:32 he had shown wrong meshing of gears plz thinkbover it once efficient enginneer
Thank you so much ! I just have one question , where did the shear stresses arise from ?
hi thank you so much for such good content. i have a request that if you can make similar video for plane strain.
Thanku so much sir
Hello TEE, Is there a Plane Strain video?
How do you convert 2D analysis to 3D analysis,
Eg. As we analyse trusses by MOJOINTS OR MO SECTION FOR A 2D truss.
Question! Why do the z components of the stress in a pressure vessel end up close to zero? I heard you say that if the wall is a lot thinner than the diameter, the stresses should be close to zero, but why is that?
It's because the normal stress perpendicular to a free surface must be zero. The normal stresses in the Z direction are zero on both sides of the wall, and because the wall is thin they can't build up to a large enough magnitude to be significant. Hope that helps!
Wonderful. What is the source of your videos.
Thanks
Make a video for plane strain tooo❤
It’s the same just divide by Young’s modulus
Você pode explicar o porque da utilização da ideia do estado plano de tensão, ser usado no direcionamento (trajetória ) de um foguete, usando para isso os momentos principais de inércia e os produtos de inércia? Seria legal. Gostei do vídeo.
The video is marvelous
And pls do for stress strain curve
What is a free surface? Did you talk about that in a previous video?
Is the stress zero even if the load is applied along the z axis i.e., in the out plane condition??
Great video! I would like to ask why does a plain stress state does not yield a plane strain state, I think it is my main difficulty on trying to grasp these two concepts
Thank you very much!
Due to Poisson's effect, if you have sigma x, and sigma y, you will have epsilon z.
@@engineeringvision makes sense, I forgot about that! Thank you;
Amazing
May I ask how think the plane should be? Is there a quantitative way to measure appropriate thickness, maybe function of (diameter or length? ). Just curious😊
Hello. I am a university student who is major in civil engineering. I just want to ask you why normal and shear stresses are zero at the free surface? Thanks.
but there is a small mistake at 2:48