Fluid Mechanics: Topic 4.3 - Hydrostatic force on a curved surface

Note: When calculating F1, it is better to think of the calculation as pressure P1 times area A1. In this particular example, P1A1 happens to equal the weight of the fluid above. However, this will not always be the case.
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[@Gray-cx9pp]

just finished writing my fluid mechanics exam so I can now 10/10 recommend that watching this video an hour before your exam will help you out, thanks

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[@CPPMechEngTutorials]

Did it?

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@@CPPMechEngTutorials it did, I think I got a B+ in the class.

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Whoever is behind these slides. Keep doing God's work!

[@CPPMechEngTutorials]

PowerPoint can do amazing things in the right hands.

[@zenapsgas]

Very well done and right to the point. Graphics were well made and helped a lot with understanding the concept.

[@CPPMechEngTutorials]

Thanks!

[@user-tb6qx6ox6u]

Thank you! This video clarifies everything

[@CPPMechEngTutorials]

Great!

[@naveenkumarvasu9745]

short and crisp explanation...thank you for this...

[@miltonwijesundara6368]

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[@CPPMechEngTutorials]

No problem... from California :)

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[@sanjanaasushanth5071]

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[@CPPMechEngTutorials]

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[@aprilvo1425]

Great explanation! Thank you very much!!!!

[@OscarASevilla]

perfect! this makes it all so clear, compared to what my professor was doing. thanks! :)

[@CPPMechEngTutorials]

This topic is a tricky part of fluid statics. Even this video does not cover all possible scenarios.

[@maryfaithestoque6336]

thanks! It helps a lot

[@CPPMechEngTutorials]

Glad it helped.

[@imtoouncreative8263]

how does this 10 min video explain this better than my 2 hour tutorial? good job

[@epsa9324]

Thanks a lot , I have an exam today.... and the video explained to me in 10min what I had been trying for 2 days 😂

[@CMEAcademyforPPSC_FPSC]

Best three videos on the same topic. 4.1, 4.2 and 4.3 all were really goood

[@CPPMechEngTutorials]

Thanks! It took a while to make them (all those years ago).

[@atanacioalvaradoavina5751]

thank you! the subtitles helped me a lot!

[@CPPMechEngTutorials]

Great! All our videos are captioned to help people with hearing disabilities, people who are non-native English speakers, or people who prefer to read text.

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[@CPPMechEngTutorials]

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[@CPPMechEngTutorials]

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[@CPPMechEngTutorials]

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[@felixmd1993]

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[@CPPMechEngTutorials]

We would love to, but it takes a lot of time. We first want to create a set of videos that discuss concepts and derivations. Worked examples with numbers may be created in the future.

[@felixmd1993]

CPPMechEngTutorials I understand, can you recommend me web sites with exercises or good books? currently im using the book fluid mechanics by cengel but I al ready did all the exercises of fluid statics. Thanks for the help!!

[@CPPMechEngTutorials]

If you completed all of the end-of-chapter problems on your own, you probably know the subject matter well enough.

[@togex5669]

Saved my life! thank you!!!

[@CPPMechEngTutorials]

You're welcome!

[@moroniafrifa614]

Thanks! Great explanation 👍

[@CPPMechEngTutorials]

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[@fahadovich]

Thank you.. it helped alot!

[@Tech11504]

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[@CPPMechEngTutorials]

Glad you enjoyed the wonderful video. :)

[@naifdayil8165]

I finished my engineering degree early this year I just come back sometime here to remind my self of how lucky Im passing that crazy class :)

[@CPPMechEngTutorials]

Luck, or skill?

[@zaccolyer3053]

awesome video !

[@philspaseo2377]

what if the magnitude you are trying to find is the water force over the length of the wall from the top of the surface to the bottom? That is the point where it is very confusing to me.How can you instantly tell that oh Im gonna use Rx=Px(A) for the horizontal component and Ry=(density)(g)(Total Volume)? How can you draw the FBD for what it is asking? Im reading different books to take the Mechanical FE and in one book it explains the average pressure of Px=(1/2)(density)(g)(h1+h2) however in the FE manual it doesn't dictate the *average pressure formula. So how do you know when to use it at a certain component?

[@guillaumethemapler]

Thank you very much , (from Belgium) :)

[@CPPMechEngTutorials]

Goeiedag (from California) :)

[@mohamednasr106]

derive the analytical expressions the magnitude and location of the horizontal component hydrostatic force acting on the curved surface ? this is a question that I cant find the answer please give me some help

[@cloud42269]

Thank you very much!

[@nandinikumari4459]

Thanks.. you made it really clear

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . . .

[@vukanimthethwa2278]

Thanks a lot, its awesome

[@sayem5120]

Good explanation

[@the_right_path_14]

good explanation thanks.

[@CPPMechEngTutorials]

You're welcome. Now go out there and calculate the force on a fish bowl.

[@gopalbanerjee6816]

Damn! Unbelievable explanation!!!

[@CPPMechEngTutorials]

I know, right?!?!

[@TwizzyBingo]

Hi, I want to ask that when you mentioning the weight, which weight are you considering, (a) the one for the isolated body of water or (b) the one above the isolated body of water. And if it's (a) how do we find the volume of the that shape that has such dimensions.

[@RP-wz4eu]

It still has water in it, you're just drawing an imaginary boundary to make a "container" you can analyze.

[@saisanjithkakkireni2041]

Thank you!

[@Yashsuperraj27656]

Very Well explained👏.

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . ....

[@jearim7065]

thank you so much!

[@MOQAZI]

Thank You so much, sir.

[@CPPMechEngTutorials]

You're welcome

[@ankursrivastava9074]

thank you sir for making its so easy

[@CPPMechEngTutorials]

You're welcome.

[@Widderwillen]

Is there a way to calculate the curved water surface or a demonstration of it? Does anyone know?

[@kholofelomakgabo6195]

Can someone please explain something to me? We know that pressure acts perpendicular to the surface. Thus, the force that exerted on the wall should have both the components of x and y. But in the video, it seems to me that he only considered the weight (y-comp) of the fluid but not the x component that the fluid exerted on the wall. The only x component considered is that of the external pressure by the surrounding fluid, but not that of the fluid body in question. In the y direction, we have F1 and weight, in the x direction we have F2 only. Are we not supposed to have another force in the x direction?

[@wholesomedaneeehhh.7759]

How can you find Xc?

[@Pushed2InsanityYT]

Good Job!

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . .. .

[@AnkitBablu]

Thank You.

[@CPPMechEngTutorials]

You're welcome

[@kjlive781]

Thank you 🙏🏻

[@CPPMechEngTutorials]

You're welcome

[@sanjanaasushanth5071]

are there any example problem videos?

[@justaman553]

THANKS

[@gaziwash]

So I have a question... y did u calculat the area in 8:25 for Hs only .. I think u shoud calculat it for all Yr .. right ? please someone explain to me why? many thanks.

[@krishanveer8199]

Gazi Gn he has calculated Fh by multiplying pressure with area and Fy by simply the weight (weight itself is a force u don't need to multiply it with area) carried by the surface.

[@classic8054]

Does F2 and Fh always occur in the same line of action? Thanks for the lesson.

[@henrycoldrain8151]

Yes I think so. It says the same in Cengels book

[@nirvikhazra7258]

if they dont their moment about O isnt gonna nullify each other (since F1 = Fh)

[@maxpayne5257]

Very helpful! but why is Fv and and F1 aren't on the same line of action?

[@kamalkantsharma3099]

Why Fh and Fv have same line of action

[@krishanveer8199]

Max Payne bcoz fv is balancing the net force of F1 & W and hence will act between their line of action . And for Fh, since it is only balancing F2 , therefore it will act in the same line of action as Fh.

[@MOQAZI]

@@krishanveer8199Great Explanation

[@sathwikreddykanduri4619]

Thank you ,I have got understood by 3d diagram shown by u

[@CPPMechEngTutorials]

It took a while to figure out how to do that well in PowerPoint. :)

[@reddidude2122]

great one.

[@CPPMechEngTutorials]

Thanks.

[@etienneleclerc3492]

Is there force exerted by atmospheric pressure in the vertical direction? If not why?

[@CPPMechEngTutorials]

Yes, but the atmospheric pressure is approximately constant around the entire system. So the downward force on the free surface is balanced by a similar upward force on the gate. The atmospheric pressure forces cancels out, so we ignore it.

[@PhilippStachs]

Thank you. I just had the same question. 4 years later !

[@Learner25284]

Important for jee. Thanks

[@nyakoojobrian9145]

Nice one......explanation ok

[@CPPMechEngTutorials]

Just okay? :(

[@hayderal-lami4335]

GREAT

[@saifahm14]

If a circular plate and a square plate of same diameter and side "D" m are lying vertically in such a way that their center are "D" m below the free water surface. Find out the ratio between the total pressure and centre of pressure between the circular plate and the square plate.

[@ashvinmuddoo6403]

its easy to understand ...thank you

[@btpz7467]

Learning the same thing in class but why does this video make 100x more sense ?? I don’t even know..

[@CPPMechEngTutorials]

Only 100x? :(

[@pitrasebastiao5913]

you saved me. Exam tomorrow. lets gooo

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . ...

[@diegoguatemala1520]

what happens if you flip the figure?

[@ashutoshkumar6421]

thanks alot

[@CPPMechEngTutorials]

No problem.

[@aghyad5185]

Why do we need to find Xv?

[@selvams7061]

but ur explanation is nice

[@datunixonmacarimbang4464]

how to get moment arm of W or Xc

[@jjon95]

I was so close to going to Pomona, guess I ended up going there any way through these videos!

[@CPPMechEngTutorials]

It's never too late.

[@nizamudeenca2606]

will inclination angle depends on hydrostatic force

[@henrycoldrain8151]

Absolutely, theta=tan^_1(Fv/Fh) so as the forces change so does the angle

[@ZuccOndizNut]

what is the value of "d"? ty

[@CPPMechEngTutorials]

"d" is the depth where the curved surface begins.

[@zakariaaouchette5702]

hanks for the video it's preferable if you give an example

[@CPPMechEngTutorials]

Currently this video series focuses on the theory of fluid mechanics. Eventually we may add examples.

[@tolga9311]

@@CPPMechEngTutorials This series would be perfect with some concept questions to solidify the given theories.

[@kemocule9933]

that could take a 3h lecture with our professor

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . ..

[@g_rr_tt]

what if the water is underneath?

[@rameesmonk8986]

Why F1 acts at centre it should act at centroid right

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 .. .

[@X2StealthZeikon2X]

If you still read these, you're a life saver

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[@dinithisahanika7823]

❤️❤️❤️

[@don_2755]

is f1 equal to the moment arm of fv?

[@CPPMechEngTutorials]

No. The moment arm of Fv is a weighted average of W and F1.

[@don_2755]

@@CPPMechEngTutorials how did you get moment arm of the weight?

[@mudassarfiaz7419]

You just goes directly towards your notes and didn't explain how the horizontal component hc and A are solved...?

[@21mejia25]

Why isn't this taught in ME 3111?

[@klaidicufe8385]

How do tou calculate Xc

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 ....

[@abdalrahmanarrob6802]

How is the Area Ws*Ls?

[@aghyad5185]

The 3D body explains it in a way, try imagining it... 2:57

[@abdalrahmanarrob6802]

Yep got it

[@hasnainkhalid1089]

You fucking explained it better than my shitty professor. I love you ❤️

[@CPPMechEngTutorials]

We're fond of you too.

[@KolBraganza]

hoping for sample problems

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 ... ..

[@Bohdi99]

this makes it way harder then it needs to be

[@dremr2038]

7:03

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0 . ...

[@selvams7061]

I just asked doubt manner..

[@CPPMechEngTutorials]

"doubt manner"?

[@selvams7061]

I think u follow Munson

[@CPPMechEngTutorials]

The derivation is similar in most fluids books.

[@fahmifakhrudin8238]

Can't understand dumb this so harddddddd!!!!!

[@ibnrashid6457]

is it correct to calculate Fv like this video? kzbin.info/www/bejne/d6jTXpyGaNCneqs because its different from yours

[@GraceNatasha]

fantastic explanation, thank you so much!

[@CPPMechEngTutorials]

:D

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/j4nRnHVrZ91jis0