Understanding Plane Stress

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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[rhymejpeg]

As a visual learner, I cannot thank you for these animations enough. This channel is truly a blessing!! So underrated

[Elena-iwwd]

4 years later and im still astonished by how visual and understandble this videos are. truly grateful !

[misha]

Can’t believe that a free YouTube video is much more useful than a class that we pay thousands of dollars for. Thanks!

[uathavia]

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.

[LouisLiuMusic]

Why can’t uni professors teach like this?

[bpring]

Great video, loved it!

I think you meant 3x3 matrix at 2:47.

[nicolaslutkens]

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.

[yeko]

Really apprecitae your work as a civil enginnering student, This channel should get Billions of Subscribers.

[engrfawadiqbalkhan]

My Favorite channel regarding concepts of structure mechanics, it helps me a lot.

[visantibanez]

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

[jaypark]

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! <3

[s.bharathvigneshwar]

Please do for fluids, and thermals also...love from INDIA💖

[adhithasimhanraghavan]

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.

[astr]

Wow 😍😍😍😲 One stop to clear all happening of assumptions. Excellent👍

[Zhinoi]

For problems like these sometimes you just need to calm down

[prateeknegi]

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.

[TheNarendran]

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.

[tianbo]

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>

[mohamed_adel]

quick correction, @2:45 its a 3 by 3 matrix not 9 by 9, thanks for the great vid anyway

[kunalborkar]

please make a video on plane strain condition also...