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.
All of the videos in this course, sample exams with solutions, and a copy (pdf) of this solution can be downloaded at http://www.drdavidnaylor.net
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.
Chapters
00:00 Problem statement
01:18 Sketch of the hydrostatic pressure distribution
02:02 Hydrostatic force on surface, F_AB
04:25 Line of action, center of pressure
07:15 Final answer, sketch of the gate
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