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1. Water is flowing through a concrete rectangular channel at a rate of 0.5 m'/s. If the manning's roughness for concrete is n= 0.015, and the bed slope (s) is 1 in1000, determine the most economical section, i.e. width (b) and depth (d). (6%)

1. Water is flowing through a concrete rectangular channel at a rate of 0.5 m'/s. If the manning's roughness for concrete is n= 0.015, and the bed slope (s) is 1 in1000, determine the most economical section, i.e. width (b) and depth (d). (6%)

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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10:38 N all ll BAHIRDAR UNIVERSITY Bahirdar Institute of Technology (BIT) Faculty of Civil and Water Resource Engineering Hydraulics-l sample exam questions as an assignment 1. Water is flowing through a concrete rectangular channel at a rate of 0.5 m'/s. If the manning's roughness for concrete is n= 0.015, and the bed slope (s) is 1 in1000, determine the most economical section; i.e. width (b) and depth (d). (6%) 2. A long wide rectangular channel carrying a specific discharge (q)of 2.5 m'/s per meter width, has a slope of 1 in2750. If the manning's roughness coefficient (n) is 0.015: a) Calculate the critical depth and normal depth.(3%) b) Describe specific energyin short, and determine the specific energy for the given channel.(2.5%) c) Decide whether the flow is in sub critical, super critical, or critical condition.(1.5%) 3. Using Buckingham Pi method of dimensional analysis (the method of repeating variables), show that the flow rate of a liquid (Q)over a notch can be given by the dimensionless group. (6%) Q =Kg H?s Where H is head, pis density, u is dynamic viscosity, o is surface tension of liquid, g is gravitational acceleration and k is constant. Hint: list all variables and follow the procedure. Surface tension (0) is expressed as force/length. The ret variables are common. 4. A small channel is going to be constructed at a scale of 15:1 to study the flow characteristics of a larger navigation channel. Remould's numberlaw will be used as the viscous forces are the dominant ones. If the samefluid (water) is used in both the model and prototype channels. (6%) a. Determine the time ratio (t), velocity ratio (v), and discharge ratio (Q). b. What should be the discharge (On) in the model channel if the discharge in the prototype is 150 m/s? June 7 2019 You are welcome to ask unclear terms or corrections. Mobile View Tools 88
Transcribed Image Text:10:38 N all ll BAHIRDAR UNIVERSITY Bahirdar Institute of Technology (BIT) Faculty of Civil and Water Resource Engineering Hydraulics-l sample exam questions as an assignment 1. Water is flowing through a concrete rectangular channel at a rate of 0.5 m'/s. If the manning's roughness for concrete is n= 0.015, and the bed slope (s) is 1 in1000, determine the most economical section; i.e. width (b) and depth (d). (6%) 2. A long wide rectangular channel carrying a specific discharge (q)of 2.5 m'/s per meter width, has a slope of 1 in2750. If the manning's roughness coefficient (n) is 0.015: a) Calculate the critical depth and normal depth.(3%) b) Describe specific energyin short, and determine the specific energy for the given channel.(2.5%) c) Decide whether the flow is in sub critical, super critical, or critical condition.(1.5%) 3. Using Buckingham Pi method of dimensional analysis (the method of repeating variables), show that the flow rate of a liquid (Q)over a notch can be given by the dimensionless group. (6%) Q =Kg H?s Where H is head, pis density, u is dynamic viscosity, o is surface tension of liquid, g is gravitational acceleration and k is constant. Hint: list all variables and follow the procedure. Surface tension (0) is expressed as force/length. The ret variables are common. 4. A small channel is going to be constructed at a scale of 15:1 to study the flow characteristics of a larger navigation channel. Remould's numberlaw will be used as the viscous forces are the dominant ones. If the samefluid (water) is used in both the model and prototype channels. (6%) a. Determine the time ratio (t), velocity ratio (v), and discharge ratio (Q). b. What should be the discharge (On) in the model channel if the discharge in the prototype is 150 m/s? June 7 2019 You are welcome to ask unclear terms or corrections. Mobile View Tools 88
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