Solved Exam Problem: Hydrostatic Forces on a Curved Gate

MEC516/BME516 Fluid Mechanics: A solved exam problem of hydrostatic forces on a curved gate from a past midterm exam. This problem has been reposted without a detailed discussion of the theory because many students are only seeking solved problems.
All the videos in this course and a copy (pdf) of this presentation can be downloaded at: www.drdavidnaylor.net
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
#fluidmechanics #fluidstatics #hydrostatics

[@FluidMatters]

All the videos for this introductory Fluid Mechanics course, pdfs of the presentations, solved exams and problem sets can be downloaded at: www.drdavidnaylor.net

[@MonkeyPoida]

Thank you! Very well presented. The clear explanations and graphics make it easy to understand.

[@FluidMatters]

Glad to hear that you found it helpful

[@hexene6679]

this type of videos are really helpful 🎉 currently studying for my first exam on Fluid Mechanics for CE. Thanks a lot !!!

[@FluidMatters]

Glad the hear the video was helpful. Good luck on the exam

[@user-sv6eg3mc8p]

Thanks OWO

[@FluidMatters]

Glad it was helpful.

[@ksvinit5732]

Sir I think centre of pressure should be taken from top becuz here 1.33m seems less than 1m in diagram at 8:38 2-0.6667 = 1.333 is lying below the centre

[@FluidMatters]

"1.33m seems less than 1m" doesn't make sense. Clarify and add a time stamp, if you have a real question.

[@divyanshupratik826]

Why haven't you considered F due to pressure (rho*g*h) downwards on the gate?

[@FluidMatters]

See the free body diagram (at 2:25). I'm not sure what you mean. The weight of the water is the source of the downward force and the downward pressure on the gate. I hope that helps.

[@divyanshupratik826]

@@FluidMatters what I meant to ask was why you didn't consider an downward hydrostatic force due to depth h

[@FluidMatters]

@@divyanshupratik826 That would be double counting the force F_v. The downward component of the hydrostatic pressure distribution on the gate (shown at 1:08) is caused by the weight of the semi-circle of water. So, I DID "consider an downward hydrostatic force due to depth h". That's why the pressure vectors (in red) get bigger with depth.