Explanation Calculation: Sketch the section of the panel as shown in Figure 1. Refer to section 9.1A in the textbook. Express the resultant force as shown below: R = γ ∫ y d A Sum of moment all forces, M A A ′ = γ ∫ y 2 d A Consider y P is distance of centre of pressure from A A ′ . Express the distance of centre of pressure from A A ′ . R y P = M A A ′ y P = M A A ′ R (1) Here, R is the resultant of the hydrostatic forces acting on the gate and y P is the depth to the point of application of R . Substitute γ ∫ y 2 d A for M A A ′ and γ ∫ y d A for R in Equation (1)

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ISBN: 9781264095032

Author: BEER

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 9.2, Problem 9.59P

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Find the depth of point of application of the resultant of the hydrostatic force acting on the panel.

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Chapter 9.2, Problem 9.58P

Chapter 9.2, Problem 9.60P

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Chapter 9 Solutions

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Find the depth of point of application of the resultant of the hydrostatic force acting on the panel.

Solution Summary: The author calculates the depth of point of application of the resultant of hydrostatic force acting on the panel.

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Find the depth of point of application of the resultant of the hydrostatic force acting on the panel.

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