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5.25 The hypothetical water velocity in a V-shaped channel (see the accompanying figure) varies linearly with depth from zero at the bottom to maximum at the water surface. Determine the discharge if the maximum velocity is 6 ft/s. 6 in. 12 in. PROBLEM 5.25

5.25 The hypothetical water velocity in a V-shaped channel (see the accompanying figure) varies linearly with depth from zero at the bottom to maximum at the water surface. Determine the discharge if the maximum velocity is 6 ft/s. 6 in. 12 in. PROBLEM 5.25

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem 5.25 Explanation** This problem examines the hypothetical water velocity in a V-shaped channel. The velocity varies linearly with depth, starting from zero at the bottom to a maximum at the water surface. Your task is to determine the discharge when the maximum velocity is 6 ft/s. **Channel Dimensions:** - The channel has a triangular cross-section. - The width at the top of the channel is 6 inches. - The depth of the channel is 12 inches. **Visual Representation:** - The left diagram illustrates water flow within the channel. Arrows indicate the linearly increasing velocity from the bottom of the channel to the top. - The right diagram shows a cross-sectional view of the channel, emphasizing its triangular shape. To solve for discharge, consider the relationship between velocity, cross-sectional area, and discharge, remembering to convert all measurements to consistent units.
Transcribed Image Text:**Problem 5.25 Explanation** This problem examines the hypothetical water velocity in a V-shaped channel. The velocity varies linearly with depth, starting from zero at the bottom to a maximum at the water surface. Your task is to determine the discharge when the maximum velocity is 6 ft/s. **Channel Dimensions:** - The channel has a triangular cross-section. - The width at the top of the channel is 6 inches. - The depth of the channel is 12 inches. **Visual Representation:** - The left diagram illustrates water flow within the channel. Arrows indicate the linearly increasing velocity from the bottom of the channel to the top. - The right diagram shows a cross-sectional view of the channel, emphasizing its triangular shape. To solve for discharge, consider the relationship between velocity, cross-sectional area, and discharge, remembering to convert all measurements to consistent units.
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