Engineering Board Exam Reviewer · Fluid Mechanics · hard
A vertical rectangular gate 2 m wide and 3 m high has its top edge 2 m below the water surface. Find the location of the center of pressure below the water surface.
- 3.500 m
- 3.714 m
- 4.000 m
- 4.250 m
Answer
B. 3.714 m
Solution
y = 3.5 m, A = 6 m2, Ig = bh3/12 = 4.5 m4. yp = y + Ig/(A y) = 3.5 + 4.5/(6 × 3.5) = 3.714 m. (F = yA = 206.0 kN.)
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