A B Figure 2 Figure 2 depicts a stormwater drainage pipeline that flows from left to right as shown by the arrows. The said pipeline constricts at Point B before being bifurcated into two separate channels as shown. Given the following: • Diameter of pipeline AB at Point A = 0.6 m • Diameter of pipeline AB at Point B= 0.45 m • Diameter of channel BC = 0.35 m • Diameter of channel BD = 0.28 m You are to assume a steady flow throughout the system and that both channels BC & BD have circular cross-sections of constant size throughout. Then: i) Calculate the discharge at Point A if the velocity at A is given to be 3 m/s. ii) Find the velocity of flow at Point B. iii) If velocity at Point C is provided as 6 m/s, what is the velocity at Point D? iv) Evaluate the following statement: “Due to its smaller size, the volume flow rate at Point B is lower than the volume flow rate at Point A.". Is this statement true or false? Give a brief explanation for your answer. v) Determine the acceleration of an element of the fluid that flows in this pipeline when it reaches Point B. Assume that it takes 1.5 seconds for this fluid element to flow from Point A to Point B.

A B Figure 2 Figure 2 depicts a stormwater drainage pipeline that flows from left to right as shown by the arrows. The said pipeline constricts at Point B before being bifurcated into two separate channels as shown. Given the following: • Diameter of pipeline AB at Point A = 0.6 m • Diameter of pipeline AB at Point B= 0.45 m • Diameter of channel BC = 0.35 m • Diameter of channel BD = 0.28 m You are to assume a steady flow throughout the system and that both channels BC & BD have circular cross-sections of constant size throughout. Then: i) Calculate the discharge at Point A if the velocity at A is given to be 3 m/s. ii) Find the velocity of flow at Point B. iii) If velocity at Point C is provided as 6 m/s, what is the velocity at Point D? iv) Evaluate the following statement: “Due to its smaller size, the volume flow rate at Point B is lower than the volume flow rate at Point A.". Is this statement true or false? Give a brief explanation for your answer. v) Determine the acceleration of an element of the fluid that flows in this pipeline when it reaches Point B. Assume that it takes 1.5 seconds for this fluid element to flow from Point A to Point B.

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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