FE Exam Review - Fluid Mechanics - Fluid Statics - Submerged Slanted Gate

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Let's solve this Fluid Mechanics FE type question covering the static pressure on a submerged gate. This will be applicable to FE Civil, FE Mechanical, FE Environmental and FE Other Disciplines:

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Timecodes:
0:00 - Intro
0:14 - Reading problem statement
2:42 - Using NCEES FE Handbook 10.0.1. hydrostatic force equation
3:40 - Drawing cross-section of the gate into the page
4:51 - Applying trigonometry to find the angle "theta"
6:57 - Defining y and ycp - distance to the center and distance to the center of pressure
12:35 - Find the location where the hydrostatic force acts using NCEES FE Handbook 10.0.1.
14:00 - Using the moment of inertia equation for a rectangular cross-section found on page. 111 in FE Handbook 10.0.1.

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you literally just cleared up 3+ hours of confusion in the first 8 minutes... <3

francescahunt
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Thank you for actually explaining the problem solving methods and their approach in detail rather than just reading the textbook examples out loud like 90% of other channels.

pinkhead
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if anyone wants a tip for the second question, you can recognize that Y_cp should be lower than Y_c. Since 12.67 m is the only multiple choice option below Y_c = 12.5, you know thats the right answer. It will save you some time and is a good strategy for all questions to eliminate options that arent possible.

Bobodododo
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Saved my butt on my final for this question. THANK YOU SO MUCH!!!!

briancarrollii
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Hello Sir, I just wanted to say thank you, you're out here doing god's work, incredible explanations.

fenixfyre
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best video on YouTube on this topic. Thank you so much! Some of them are over an hour. Sometimes when your exam is close you don't have time. I've been looking for an easy and concise example on hydrostatics.

hotnspicy
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Thank you for the clear explanation, I was doing a problem and the Hc, Yc and Ycp was a little confusing, but now I get the differences.

ello-isa
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you are an amazing teacher, I understand much better now!

WearableTundra
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Helps me alot I feel very sad cause our professor can't explain it like that you make it easier to me thanks alot

waelatfah
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thankyou it really helped me out & cleared all my doubts, you are one of the best teacher out here on youtube

onlygaming
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Good video man, this explained the concepts well. I have a fluid mechanics exam tomorrow and this is the only concept I'm stuck on

deadman
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Sir, thank you so much, your explanation is very clear and concise!!!

Raniaska
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Thank you sir for your perfectly clear explanation. This video is realy helpful.

sadkoner
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thank you so much! very clear explanation

swirldude
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Thank you for the example, could you please solve example explaining  absolute maximum moment of moving concentrated load sets on a beam from structural analysis? and if you could explain problem 64 from the NCEES FE civil practice exam? I would appreciate that...

sanaahamati
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Thank you for the lesson and the explanation, Sir. However, I have a question, how come is the centre of pressure more than 12m? since the total distance from the free surface is only 12m? If you consider the diagonal distance from the free surface to ycp, could you please explain the justification? Thank you very much

dioutoroo
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However you did not need to find theta you needed sin theta which you already had and that’s how you got theta. You could have stoped and used 3/4

runtdawg
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Thanks for the example! I was a bit confused about the hinge being at the top vs being at the bottom. So would the force needed to just *open* the gate be acting at the very bottom in the opposite direction as Fr? Call it P. I got the distance from Fr to the hinge to be d2 = 2.67 m = 12.67 - 8/sin(53.1). The distance from the hinge to the bottom of the gate where force P acts is d1 = 5 m. So the moment balance would be Fr x d2 = P x d1, solving for P I got 393 kN

ryanlakner
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For the first question why don't we include patm. In the FE handbook, it has this equation: Wetted side: FR = (Patm+ ρgyC sin θ)A.

priyabhowmik
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Bro? Why you used 5 as based and not 1 as based?

Whacker