Solved Example: Hydrostatic Forces on a Vertical Gate

MEC516/BME516 Fluid Mechanics: A simple solved exam problem of hydrostatic forces on a flat vertical gate. The solution includes locating the line of action i.e, the center of pressure.

Minor Correction: There is a "typo" at 6:46. h_cg=2.8m (not 1.8m) . But the value of y_cp and the problem answers are all ok.

Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.

#fluidmechanics #fluiddynamics #fluidstatics

[shenanigansonyoutube]

In 7 minutes I have learned more about Fluid Mechanics than I have in an entire semester so far with my professor. Thank you.

[schwabioso]

thx for the video-
little mistake at 06:48, hcg=2, 8m !

[Amanda-leqe]

thanks for the video though was very well explained, i understood it immediately as opposed to my lecturer that rambled for 2 hours straight

[nyangigerange]

A salvage ship is attempting to raise an iron anchor off the ocean floor. The anchor has a mass of 560 kg and the density of iron is 7 800 kg/ m3 .The cable used to lift the anchor can support a weight of 5 000 N. before breaking. Use 1 025 kg/m3 as the density of seawater. (a) Can the cable support the anchor while it is completely submerged? (b) Can the cable support the anchor when it is completely out of the water? (c) What percentage of the anchor will be out of the water when the cable breaks?

[MaximusLX]

Thanks for this, very clear explanation

[Amanda-leqe]

me attemping to learn this at 3 am and my exam is in 5hours 😪😪

[Jaciatel]

Can you please explain why the yp or the hp is different for vertical surfaces that protrude from the surface or whose tops are levelled with the surface compared to when the surface is below water?

[violetgray]

02:05, free surface has Pa, a little correction i think??

[GeorgeShikukwete]

where did the 12 come from? the one you divided with to get Ixx

[A.Hisham]

Well, I was expecting you to use the prism way to resolve it too. :)

[AJMusicUganda]

thanks . please share the link for the first culculation videos.thanks

[abdullahoz]

At the end, Why did we write 1.8 intead of 2.8 ?

[sindiswahadebe]

For the last question why is the equation not : ycp = Ixx/hA +h

[gameoboy]

How would I go about finding the reaction forces at points A and B?

[_AlfiansyahMalikN]

I'm confused, why is the value of Ixx divided by 12?