To determine Force P required to keep the gate closed. Explanation Given information: R a d i u s of gate (r) = 1 m Area of gate (A)= π r 2 = π = 3.14 m 2 Hydrostatic force is given by F o r c e due to water (F w ) = ρ gA X ¯ ρ is density of water w h e r e X ¯ is centroidal height of gate from free surface = 8 m Calculation: F = 1000 * 9.81 * 3.14 * 8 = 246552.19 N This force will act at the center of pressure D e p t h of centre of Pressure ( h ¯ ) = I g Sin

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.77P

To determine

Force P required to keep the gate closed.

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