Answered: In the context of a sewer system, you…

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, you need to find the optimal diameter (DD) 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 (Qd): 4.12 m³/s

- Pipe slope (S): 0.01

- Pipe roughness (ks): 1.50E-06 m

- Maximum flow depth percentage (y/D): 85%

- Fluid density (ρ): 999.1 kg/m³

- Fluid viscosity (μ): 1.14E-03 Pa*s

- Acceleration due to gravity (g): 9.81 m/s²

- Pipe diameter (D): 1.000 m

V = -2√/8gRS log10 (14 2.51μ
+
ks
14.8R
4pR√8gRS

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