A vertical gate keeps water from flowing in a triangular irrigation channel. The channel has a 65 m top width and a 48 m depth. If the channel is full, what is the depth, Yp, of the hydrostatic force on the triangular gate in m?

A vertical gate keeps water from flowing in a triangular irrigation channel. The channel has a 65 m top width and a 48 m depth. If the channel is full, what is the depth, Yp, of the hydrostatic force on the triangular gate in m?

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter15: Slope Stability

Section: Chapter Questions

Problem 15.28P

See similar textbooks

Related questions

Q: Determine the best hydraulic section for rectangular channel that can carry 200 m^3/min.

Q: A concrete dam given in the figure has water 22 m deep acting on its vertical sides. Assuming that…

A: Given- a concrete dam retaining water it is required to find the vertical resultant force from toe.

Q: A horizontal 45° bend 750 mm Ø upstream and 300 mm Ø downstream has water flowing thru it at the…

Q: A vertical rectangular sluice gate at the bottom of the dam is 0.60m wide and 1.8m high and exposed…

Q: Find the pressure force acting on a dam 20 meters wide and 7 meters high and the place of action of…

A: Find pressure force and its location

Q: rectangular caisson is being constructed for use in building a bridge pier. The caisson is 15 m x 6…

Q: 2. A triangular gate with a width equivalent to 1.5 m and its height is 3 m is submerged inversely…

Q: A circular gate 1.5 m in diameter is inclined at an angle of 45 deg.. Fresh water strands on one…

Q: An elementary triangular concrete gravity dam, supporting 40 m height of reservoir water and full…

A: Given data, to find the minimum base width

Q: A rectangular gate which is inclined 90-degrees with respect to the horizontal and has a 4.1 m width…

Q: A trapezoidal channel has a bottom width of 6 m and side slopes of 2 horizontal to 1 vertical. If…

Q: H.W.22/ Calculate the magnitude, direction total force, then find the location of the horizontal…

A: Given:

Q: A sluice across a channel 6 m wide discharges a stream 1.2 m deep. What will be the tlow if the…

A: The figure is shown below,

Q: trapezoidal channel whose bottom width is 2.50 m . One side of the channel is vertical

A: In open channel flow hydraulic radius is defined as the ration of given cross section area to that…

Q: hs 2.6 tons per cubic meter. The coefficient of friction between the base and the foundation is 0.8.…

Q: A dam rectangular in cross – section with upstream face vertical. Water is 20.4 m deep on the…

A: Given Data: It is asked to compute factor of safety against sliding.

Q: A closed rectangular tank measuring 5 m long, 1.98 m wide, and 2 m high is filled to a depth of 1.6…

Q: Water ilt in 150 ft e Tunnel 30 ft-

Q: A rectangular channel has a depth of 1.2 m. and a coefficient of roughness of 0.012. The channel is…

Q: Determine the required Magnitude and location from point B of the resultant of the Forces acting on…

A: Answer Let us first draw the forces acting on the dam body as shown below As nothing is given about…

Q: A sluice gate is used to control the flow of water in a horizontal rectangular channel, 6 m wide.…

Q: 8. Determine the best hydraulic section for rectangular channel that can carry 200 m3/min.

Q: A rectangular channel has a base width of 7 m and a depth of 2.5 m carries a discharge of 21.81 m…

Q: Determine the total hydrostatic force (kN) in an inclined, rectangular gate 1.68 m width with oil on…

Q: trapezoidal channel with these conditions: Left side slope = 3H:2V Right side slope = vertical…

Q: Problem 6 A 6 meter high, 5 meter wide rectangular plate blocks the end of a 5 meter deep freshwater…

Q: A 3m dam holds water at a a certain depth, The base of the dam is 5m and the cr 0.7, at what height…

A: GIVEN- d=3mb=5mμ=0.7

Q: Determine the total hydrostatic force (N) in an inclined, rectangular gate 0.14 m width with oil on…

Q: 4 A 3 m diameter roller gate retains water on both sides of a spillway crest as shown in the figure…

A: Given: Spillway Crest, Roller gate 3m diameter.

Q: a trapezoidal dam of trapezoidal cross section, with one face vertical and horizontal base is 8m…

A: The vertical height of dam = 8m Top thickness = 0.7 m Bottom thickness = 4 m Weight of masonry dam =…

Q: For the following data: • Maximum water level = 28 m • Unit weight of water = 10 kN/m³ • Unit weight…

A: 1. stress criteria Total forces acting on dam are; Weight of dam, W = (1/2)× b ×H ×γc Where b =…

Q: A vertical rectangular gate 2 m wide and 1.2 m high has water on one side with surface 3 m above its…

A: The total hydrostatic force acts at centre of pressure from free water surface.

Q: 1) A trapezoidal channel with a bottom width of 1.50m and with side slope of 2H:1V has a slope of 1m…

Q: Problem: A vertical triangular gate with a top base horizontal and 1.5 m wide is 3m high. It is…

Q: A trapezoidal canal with a base of 2.0 m has its sides sloping at 45* with the horizontal. If water…

A: Given that, for the trapezoidal canal, base, b = 2 m side slope, θ=45° depth of flow, y = 1 m The…

Q: A. Determine the required Magnitude and location from point B of the resultant of the Forces acting…

A: Given Data:Unit weight of soil=20.3456 kN/m3 Water=9.8073 kN/m3Height of water…

Q: A 30° 2.5m Water hinge B L = 2m In the figure shown, a quarter circle gate AOB is hinged at point B.…

Q: Determine the best hydraulic section for trapezoidal channel that can carry 200 m3 /min.

Q: Question 2 A trapezoidal channel with these conditions: Left side slope = 3H:2V Right side slope =…

A: Determine the hydraulic radius(R) in meters.

Q: Situation 10: The vertical face of a trapezoidal concrete dam (s = 2.40) supports water to a depth…

Q: A dam with upper base and lower base equal to 6m and 18m, respectively, supports water on the left…

A: Upper base width=6 m Lower base width=18 m Hydrostatic dorce=1000 kN Unit weight of cocrete=23.5…

Q: A. Determine the required Magnitude and location from point B of the resultant of the Forces acting…

Q: A 30-m high triangular dam has a vertical upstream face from the horizontal base. The depth of water…

Q: A vertical rectangular wall with a width of 20 m and a height of 12 m is holding a 12-m-deep water…

A: The total hydrostatic force on the gate can be calculated using the formula F=whA

Q: A trapezoidal channel with 3.0 bottom width and 1:1 side slope carries a discharge of 10?3 ? at a…

A: Data seems to be little incomplete but solved as per other details. Discharge is assumed to be 103…

Q: A rectangular channel is 4.0 m wide and 7.0 m deep, but it is filled with water up to only 6.0 m…

A: The expression for hydraulic diameter is given as Dh=4AcP ...(1) Here Ac is cross…

Q: Problem 5. From the given figure, the spillway gate CD is in the form of parabolic segment with a…

Q: 1. A masonry dam of trapezoidal cross section, with one face vertical and horizontal base. The dam…

Q: 2. A triangular dam 3 m wide at the base and 5.6m high weighs 23.5 kN/m3. a. What depth of water…

Q: 2. Ā sluice gate blocks the flow of water in a rectangular aqueduct with a width of 4.2 m with a…

A: Given Data, Width (b) = 4.2m Rate of Flow (Q) = 16m3/sec Upstream depth of flow(y1) = 2.8m…

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

A vertical gate keeps water from flowing in a
triangular irrigation channel. The channel has a
65 m top width and a 48 m depth. If the channel
is full, what is the depth, Yp, of the hydrostatic
force on the triangular gate in m?
Use the formulas:
I.
Yp
Aỹ
h
3
1
-bh3
36
I.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

1. Determine the head loss in the "smooth" pipe in meters if its friction factor is 0.014. a.) 39.5136 b.) 12. 9517 c.) 99.9358 d.) 30. 4889 2. What gage pressure p1 in kPa, is needed to provide the given flow rate? a.) 1121kPa b.) 1328kPa c.) 1692kPa d.) 1725kPa
Hydraulic gradient = 0.75 Lenght of H2 = 2.4m Critical hydraulic gradient Icr= 1.064
A cylindrical anchor with specific weight of 24 KN/cu.m. is submerged in salt water (SG = 1.03) and attached to a gate AC as shown. The gate is hinged at B and the tension wire is attached at C. The gate is inclined by 60o from the horizontal and has a length of 2.5m. To keep the system in equilibrium, determine the diameter of the cylindrical anchor if the height is twice the diameter.
A concrete dam with a rectangular cross section is shown in the figure. Consider 1m strip. Neglect the hydrostatic uplift. B=40.8m H=61.5m Concrete, Yconc=24kn/m^3
The crest gate shown consists of a cylindrical surface which AB is the base, supported by a structural frame hinged at C. it is retaining water on one side. The length of the gate perpendicular to the paper is 8.79 m. use R = 14 m. and 0 = 49 degrees. Determine the angle (in degrees, acute) of inclination of the total hydrostatic force acting on surface AB.
The rectangular gate has dimensions: h=.8m; b=2.4m;c=0.4m;weighs 2 tons. It slides on a plane of inclination θ=70° and serves to plug the conduit of a dam. Considering that the coefficient of friction is 0.35. Determine the magnitude of the tension T needed to move the gate when the water level reaches the elevation of 62 m.
The shaft-disk-belt arrangement shown is used to transmit 3 hp from point A to point D. (a) Using an allowable shearing stress of 9500 psi, determine the required speed of shaft AB. (b) Solve part (a), assuming that the diameters of shafts AB and CD are, respectively, 0.75 in. and 0.625 in
If the water surface elevation in reservoir B is 110 m, what must be the water surface elevation in reservoir A if a flow of 0.03 m3s is to occur in the cast-iron pipe? Use f = 0.021 for all pipes. Draw the HGL and the EGL, including changes in slope due to head loss. Neglect minor losses.
Determine the head loss in the "smooth" pipe in meters if its friction factor is 0.014. a.12.9517 b.39.5136 c.30.4889 d.99.9358 What gage pressure p1 in kPa, is needed to provide the given flow rate? a.1692 kPa b.1121 kPa c.1328 kPa d.1725 kPa
Consider the cross-section of the gravity concrete dam shown below. Check its stability against overturning about the point O. The specific weights of water and concrete are 9.81kN/m3 and 23.54 kN/m3, respectively. Take into consideration the unit length of the dam and assume that the bottom is impervious (neglect the buoyancy due to the water at foundation).
A concrete channel which is laid on a slope of 1.8m per kilometer discharges water at a rate of 2 m3/s. Using a roughness coefficient, n = 0.013, determine the depth (d) of water for the most efficient sections:a. triangular b. rectangularc. trapezoidal
A GRAVITY DAM HAS BASES 5m AND 15m. IT SUPPORTS WATER ON THE SIDE WITH OVERFLOW OF 0.3m. NEGLECTING HYDROSTATIC UPLIFT AND EFFECT OF WATER ON THE DOWNSTREAM, FIND THE LOCATION OF REACTION, R, FROM THE HEEL OF THE DAM IF F = 1000 kN. USE UNIT WEIGHT OF CONCRETE = 23 kN/m3