In the context of a sewer system, your objective is to find the optimal slope (SS) of a pipe to meet a design flow rate (QdQd) and a maximum allowed flow depth percentage (y/Dy/D). Utilize the flow velocity equation: V = -2 * SQRT(8 * g * R * S) * LOG10((ks / (14.8 * R)) + (2.51 * μ / (4 * ρ * R * SQRT(8 * g * R * S)))Given: Design flow rate (QdQd): 4.12 m³/sPipe diameter (DD): 1 mPipe roughness (ksks): 1.50E-06 mMaximum flow depth percentage (y/Dy/D): 85%Fluid density (ρρ): 999.1 kg/m³Fluid viscosity (μμ): 1.14E-03 Pa·sAcceleration due to gravity (gg): 9.81 m/s²

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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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In the context of a sewer system, your objective is to find the optimal slope (SS) of a pipe to meet a design flow rate (QdQd) and a maximum allowed flow depth percentage (y/Dy/D). Utilize the flow velocity equation: V = -2 * SQRT(8 * g * R * S) * LOG10((ks / (14.8 * R)) + (2.51 * μ / (4 * ρ * R * SQRT(8 * g * R * S)))

Given:

Design flow rate (QdQd): 4.12 m³/s
Pipe diameter (DD): 1 m
Pipe roughness (ksks): 1.50E-06 m
Maximum flow depth percentage (y/Dy/D): 85%
Fluid density (ρρ): 999.1 kg/m³
Fluid viscosity (μμ): 1.14E-03 Pa·s
Acceleration due to gravity (gg): 9.81 m/s²

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