1. Measurements in a trapezoidal channel yield a flow rate of 100 m³/s, a flow depth of 3 m, a bottom width of 3 m, side slopes of 3:1 (H:V), and a longitudinal slope of 0.5%. The channel is observed to be lined with gravel-sized stones that are estimated to have a specific weight of 25 900 N/m³ and an angle of repose of 37°. (a) Calculate the median size of the stones on the perimeter of the channel. (b) Using the calculated stone size, determine whether you expect the channel to be stable in its current configuration. Assume a safety factor of 1, and neglect the effect of the longitudinal slope on the permissible shear stress. [For water, take 7 = 9789 N/m³, v = 1.00 x 10-6 m²/s]

1. Measurements in a trapezoidal channel yield a flow rate of 100 m³/s, a flow depth of 3 m, a bottom width of 3 m, side slopes of 3:1 (H:V), and a longitudinal slope of 0.5%. The channel is observed to be lined with gravel-sized stones that are estimated to have a specific weight of 25 900 N/m³ and an angle of repose of 37°. (a) Calculate the median size of the stones on the perimeter of the channel. (b) Using the calculated stone size, determine whether you expect the channel to be stable in its current configuration. Assume a safety factor of 1, and neglect the effect of the longitudinal slope on the permissible shear stress. [For water, take 7 = 9789 N/m³, v = 1.00 x 10-6 m²/s]

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: . A trapezoidal concrete-lined ditch has a bottom width of 3 f depth of 2 ft, and side slopes of…

A: Assuming Manning's coefficient (n)= 0.015 for concrete lined channel Bottom width (B)= 3ft Depth of…

Q: An unlined canal under regime conditions along with a silt factor of 1 has a width of flow 71.25 m.…

A: An unlined canal under regime condition with,

Q: Exercise : [1] A trapezoidal channel is 5.0 km long with the side slopes of Z=0.5 constructed in…

Q: QUESTION 1 a) what is conveyance factor K ? b) Figure below shows a trapezoidal channel and its…

Q: A weir installed at the end of a rectangular channel controls the flow of water. The rate of flow is…

Q: 2.1. A trapezoidal channel conveys 15 m³/s of water on a bed slope of 1 in 300. The base width of…

Q: 6 1 2 4 3 6 9 7 Dimensions in the figure are in meters. With the given dimensions and Manning…

A: Data given Channel slope, S =0.002 Manning's n for section 1 and 2 , n1= 0.014 Manning's n for…

Q: A rectangular flume 2 m wide carries discharge at the rate of 2 m³/s. The bed slope of the flume is…

Q: A rectangular channel is 6.3 m wide and has depth of flow of 1.7m. The slope of the channel bed is…

A: Given- Width of rectangular channel (b) =6.3 m depth of flow (d) = 1.7m. The slope of the channel…

Q: 1. Given a concrete rectangular channel of 50 feet in width and a slope of 0.15% solve for: • Flow…

A: NOTE : Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 2) a) What is the conveyance of a channel? State its formula and label the terms. b) A concrete…

A: Conveyance of a channel is the term which gives the discharge carrying capacity of stream cross…

Q: Question 11 of 23 A discharge of 1.2 m3/s flows on an open channel with a slope of 0.0062. If the…

A: Given data in question Discharge Bed slope Coefficient of roughness Optimum triangular channel To…

Q: Question 3 A concrete-lined trapezoidal channel having a bottom width of 4 m convey 12 m³/s of water…

A: As per bartleby guidelines. We have to solve 1st 3 question in case of multiple question. Please…

Q: 1. Dikes are to be installed on both channel banks of the 1.2 km long river section. The river width…

A: length of river -1.2 km Width of river - 60 m Angle - 10 degrees To determine- numbers of dikes…

Q: 0.5 m 1.5 m 1.5 m 0.5 m 1.5 m 3 m Figure Q2(b)

Q: A rectangular river channel 4.6 m wide carries water at a depth of 0.6 m. The slope of the channel…

Q: A concrete pipe culvert is to be constructed under road to carry a maximum discharge 9 m3 /sec. If…

A: When a pipe is fixed in an excavated trench to move water away called a pipe culvert. It is the most…

Q: A weir installed at the end of a rectangular channel controls the flow of water. The rate of flow is…

A: rate of flow = Q = 0.62m3/sec The error in head = ∆hh = 0.018m It has been asked in the question to…

Q: A weir installed at the end of a rectangular channel controls the flow of water. The rate of flow is…

Q: 2. An open channel of trapezoidal section, 2.5 m wide at the base and having sides inclined at 60◦…

A: Calculate the top width of the trapezoidal channel, Bt = Bb+2ytan φ =2.5+20.35tan 60 =2.90…

Q: The depth of the flow in an alluvial channel is 1.5 m. If critical velocity ratio is 1.1, and…

A: Given- Depth of flow y=1.5 m, Critical velocity ratio m=1.1 n=0.018 Critical velocity=?

Q: For #5-7, assume there is a creek with a width of 4.6 m, depth of 23 cm, slope of 0.001 m/m, and…

Q: 10 In a channel of rectangular cross section with a slope of 1 in 1000, the discharge is to be 1,4…

Q: The ratio between discharge and top width of a best hydraulic rectangular channel is 91/50,…

Q: Take note: Answer and write your solution on a clean paper clearly. During a flood flow the depth…

Q: A hydraulic jump takes place in a rectangular channel downstream of a spillway. The flow in the…

A: Data given Q = 900 cfs y1 = 1.4 ft B = 15 ft Find: a) Compute the conjugate depth y2 downstream of…

Q: Question 10 Determine the normal depth (m) in a rectangular channel with flowing discharge of 80…

A: Discharge, width, manning’s roughness and slope has been given and it has been asked to determine…

Q: The peak discharge for a circular culvert was found to be 1.25 m^3/s. It has been determined that a…

A: Given data: circular culvert y=0.75D Q=1.25 m3/s V=1.5 m/s

Q: a water resource engineer is in charge of designing a trapezoidal open channel for flood control.…

A: Trapezoidal open channel made of concreteActual depth, y = 1.25 ftNOTE : As per guidelines, first…

Q: The incoming flow rate is 100 m/s on a rectangular channel with: s on depth = 3 meters width = 4…

Concept explainers

Highway Drainage

Highway drainage is the process of extracting and regulating the excess surface water on the pavement by giving the desired slope. The construction of a highway drain helps to divert the water present on the surface, and sub-grade by the means of slope. Highway drainage systems are a necessary part of smooth functioning of traffic, since the highway drainage systems provide proper disposal of unwanted substances from the highways.

Question

1. Measurements in a trapezoidal channel yield a flow rate of 100 m³/s, a flow depth of 3 m, a
bottom width of 3 m, side slopes of 3:1 (H:V), and a longitudinal slope of 0.5%. The channel
is observed to be lined with gravel-sized stones that are estimated to have a specific weight
of 25 900 N/m³ and an angle of repose of 37°. (a) Calculate the median size of the stones
on the perimeter of the channel. (b) Using the calculated stone size, determine whether you
expect the channel to be stable in its current configuration. Assume a safety factor of 1, and
neglect the effect of the longitudinal slope on the permissible shear stress. [For water, take
7 = 9789 N/m³, v = 1.00 x 10-6 m²/s]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Data given

VIEW

Step 2: (a) Median size of stones in the perimeter of channel

VIEW

Step 3: (b) Check channel is in stable condition

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

All information given... Please solve clearly
Question 3 A concrete-lined trapezoidal channel having a bottom width of 4 m convey 12 m³/s of water on a slope of 0.35%. The side slopes and Chezy's roughness coefficient of the channel are 1.5 and 80, respectively. Calculate the: a) Normal flow depth and velocity b) Manning's roughness value c) Froude number and Reynolds number and state their status. d) total depth of the channel e) Depth, width and velocity of the channel at critical flow.
1. Given a concrete rectangular channel of 50 feet in width and a slope of 0.15% solve for: • Flow Rate at 0.7 feet of Depth. • Flow Depth at 150 CFS • Average Velocity at 150 CFS • Critical Velocity • Critical Slope • If 200 feet downstream there is a free outfall, classify the flow profile in the channel using Figure 5.3.3 and(Chow 1959)
A trapezoidal channel with side slope of 2H-1V has a flow rate of 180 m3/s and depth of 4 meters. The slope is 1m per kilometer. Determine corresponding bottom width in meters. The correct answer is 21.06 Pls show me the solution
1 2 3 4 6 6 6 6 7 6 9 Dimensions in the figure are in meters. With the given dimensions and Manning coefficients, determine the channel's flow rate and the channel's effective Manning coefficient. Water is flowing on a channel whose bottom slope is 0.002. The cross-section of the channel is shown in the figure. The channel has an unfinished cement surface (n = 0.014) at subsections 1 and 2 and a light brush (n = 0.05) at subsection 3. 9
QUESTION 1 a) what is conveyance factor K ? b) Figure below shows a trapezoidal channel and its dimensions. The channel also has bottom slope of 0.0036 and side slope of 1.5 (H): 0.75 (V). Determine the value of Chezy resistance coefficient C and velocity of flow if flow rate is 10 m^3/s.
o T ☺ t X A compound channel is designed with a semi-circular having a radius of 0.5 m and a rectangular channel attached to it. Calculate the depth of flow, Y, through the cross section of a channel shown in Figure 1 where the bed slope, S, is given as 0.005 and having the discharge, Q of 20 m'/s. Take the value of Manning's roughness coefficient as 0.012. 0.5 m 2m Im 2m Figure 1 (Not to scale) مور للأعلى لايتعراض الفلاتر إضافة شرح. . . hayndak <
The ratio between discharge and top width of a best hydraulic rectangular channel is 91/50, calculate the depth of the water and the channel width if the bed slope is 1/ 3000 and Chezy coefficient; C = 50.
A concrete pipe culvert is to be constructed under road to carry a maximum discharge 9 m3 /sec. If the length of pipe culvert 10 m on slope 1/100, ?? = 0.5, ?? = 1, n = 0.018, ?? = 0.18. Find the diameter of the pipe.
Q3: A box culvert (1mx1m) with Headwater, H=1.15 and built on steep slope equal to 0.008. Identify which type of flow is it? Check your answer by calculating all requirements that demonstrates what you decided. The tail water depth is 0.45 m, while the roughness coefficient, n=0.013, Ke=0.5
A circular culvert of 1.532 m diameter, flow Q = 2.32 m3 / s, depth 1 m andn = 0.014, calculate the angle tetha, the number of froude and the slope 2 Y
Hydraulics question