The Formula Behind all of Structural Engineering: Euler-Bernoulli Bending from First Principles

Рет қаралды 27,413

Күн бұрын

In this video I explain how the Euler-Bernoulli beam bending is derived and go through a simple cantilever beam example.

Пікірлер: 36

@jjosesillo Ай бұрын

bro this was the best video about this topic so far, please keep making videos like this man! congrats absolutely awesome

@jaz-yman4286 2 жыл бұрын

Thank you so much, you made a clear video, with great background, and was entertaining. I finally understand this for my HW as it made no sense in class. Big ups!

@ekeynox 2 жыл бұрын

French audience here. Not bad on your pronunciation of "Antoine Parent" ;-). Interesting topic, not very often encountered online.

@jakeberkey Жыл бұрын

Loved the history behind the assumptions and derivations, excellent video!

@ivoryas1696 Ай бұрын

Me when I find a channel with a fascinating video style, content that I'd enjoy, and an upload date not more recent than a year: ☹️

@Pauldyke Жыл бұрын

Good video burst 4:23, should be 1/rho = dtheta/ds

@dodo-js5gw 4 ай бұрын

yes !

@nanbolkeza8296 Жыл бұрын

Excellent presentation, gave me great light into the theory of beams. pls upload more sir

@samueldeandrade8535 2 ай бұрын

Look at this video, it is great. This guy was great.

@ananthpullur6142 2 жыл бұрын

Thanks for the amazing video!

@sheylarca 2 ай бұрын

Me salvaste la vida amigo

@mec007 Жыл бұрын

Excelente la explicación

@marclapuissance1380 5 ай бұрын

Video about M= EI/ ρ ??

@Agile27 2 жыл бұрын

Legend

@okanakzm 2 жыл бұрын

4:13 Shouldn't the curvature 1 over ro be equal to inverse of ds over d theta?

@ananthpullur6142 2 жыл бұрын

yes seems like a mistake

@JosueA_455 Жыл бұрын

How accurate would you bet that Euler's equation is for real scenarios with slender columns?

@vadiquemyself 2 жыл бұрын

I wonder how the model of a rod which can’t describe a torsion is still very popular

@TheMultiLibra 2 жыл бұрын

So it means that if the applied force is not a point force at the free end, but is a function of location x, then we cannot use the simplified version of the Bernoulli beam, right? I mean then we need to integrate the equation four times in order to figure out the displacements of beam, am I correct?

@erikoui 2 жыл бұрын

That is an excellent question. Bernoulli beam theory still applies and d_theta/d_x is just a function (the derivative of theta, or the second derivative of the bending moment function M(x)). In the case of several loads (e.g. two point loads or a udl with a point load at an arbitrary point) you would calculate the deflection as if each load was applied on its own, and then add up the results (assuming the beam acts linearly elastic). Hope this helps!

@TheMultiLibra 2 жыл бұрын

@@erikoui what if the force itself is a function of location, like a distributed load, so we should integrate it four times, right?

@erikoui 2 жыл бұрын

@@TheMultiLibra That is correct.

@aleksandreakhvlediani8034 2 жыл бұрын

4:00 how would you prove this ?

@erikoui 2 жыл бұрын

The tangents at A and B are perpendicular to the radii at A and B, and also we know that the angle between two non-parallel lines is equal to the angle between their normals.

@aleksandreakhvlediani8034 2 жыл бұрын

@@erikoui Thank you. If proof is that easy, why waste time at 3:55 - 4:02 saying: "You can prove that the angle at O is d.theta for yourself if you'd like" , when in the same amount of time you could have said: "The tangents at A and B are perpendicular to the radii at A and B, and also we know that the angle between two non-parallel lines is equal to the angle between their normals." ?

@dominikpeter1765 15 күн бұрын

There is literature that mention the equation with a negative sign. Why is that?

@erikoui 14 күн бұрын

Probably just depends on what sign convention is used. (If you define z as up or down)

@dungnguyenminh3308 Жыл бұрын

4:11 actually, rho = ds/dtheta

@MobileTaskForce 6 ай бұрын

oh sorry didnt read wvery well

@avi12 2 жыл бұрын

I have a bit of a hard time understanding your accent, so I'd appreciate it if you could add closed captions and make sure they don't cover up visuals in the video since the automatic CC _does_ cover some visuals

@Jairodon 2 жыл бұрын

What do you mean, I’m learning English and I understand

@samueldeandrade8535 2 ай бұрын

What a crazy thing to ask.