Explanation Given information: The diameter of the swing check valve is equal to 22.86 c m Distance between centerline to hinge is equal to 15 c m The hinge moment is 50 N m The hydrostatic force is defined as, F = γ A h C G The center of pressure from the centerline is given as, y C P = − γ sin θ I x x F I x x is the second moment of area of hinge Calculation: Assume, γ = 9790 N / m 3 Find the hydrostatic force, F = γ A h C G = 9790 N / m 3 ( π ( 0.1143 m ) 2 ) h = 401.81 h Find the second moment of area of hinge, I x x = π 4 r 4 = π 4 ( 0.1143 m ) 4 = 1

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ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.70P

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