a. Explanation Given information: A dam whose face against the water is an inclined plane is shown as the follows: Formula used: Suppose a flat surface is submerged vertically in a fluid of weight density δ and that the submerged portion of the plate extends from h = a to h = b on the vertical axis. Then the total force exerted by the fluid is given by of area A is submerged horizontally at a depth h in a fluid, the weight of the fluid exert a force called fluid force which is given by F = ∫ a b δ h L ( h ) d h Calculation: tan θ = 30 40 = 3 4 Then sec θ = 1 + tan 2 θ = 1 + ( 3 4 ) 2 = 5 4 The weight density of wateris 62.4 l b / f t 3 . The height of the inclined plane is 50 ft. The thin slab has thickness Δ y and length L = 2 x = 100 f t . The area of the slab is Δ A = L Δ y = 100 Δ y The distance from the strip to the x-axis is y b. To determine To set up and analyse: A model for determine the fluid force against the face of the dam of a vertical rectangle.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.5, Problem 50PS

To determine

To set up and analyse:A model for determine the fluid force against the face of the dam when the water is level with the top.

To determine

To set up and analyse: A model for determine the fluid force against the face of the dam of a vertical rectangle.

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Chapter 6.5, Problem 49PS

Chapter 6.5, Problem 51PS

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Chapter 6 Solutions

Calculus

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To set up and analyse: A model for determine the fluid force against the face of the dam when the water is level with the top.

Solution Summary: The author describes a model for determine the fluid force against the face of the dam when the water is level with the top.