Explanation Given information: The specific gravity of dam is S G = 2.5 The width is b Find the summation of moments with respect to point B to find out the range of angle θ The horizontal hydrostatic force is defined as, F = γ A h C G The weight of dam is defined as, W = γ v ( S G ) Where, v - Volume of dam Calculation: Assume, A C = L A B 2 = l The hydrostatic force is defined as, F = γ A h C G The center of gravity is equal to, h C G = h 2 Area where the hydrostatic force is acting on is equal to, A = ( h sin θ ) b Therefore, F = γ A h C G = γ h 2 ( h sin θ ) b The weight of dam is defined as, W = γ v ( S G ) The volume of dam is equal to, v = A h = 1 2 ( 2 l ) h b = ( h tan θ ) h b Therefore, W = γ S G ( h tan θ ) h b Take clockwise moment about point C, ∑ M B = γ h 2 ( h sin θ ) b [ L 3 −

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.80P

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To find: if a range of angle θ which the hydrostatic force will tip the dam over.

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Chapter 2, Problem 2.79P

Chapter 2, Problem 2.81P

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