PROBLEM. 3 A rectangular cross-section stream has a depth of h = 3 m, cross-section area of 200 m², and a discharge of 100 m³/s with bottom slope of 0.0001. The density and kinematic viscosity of water in the stream are p = 999.1 kg/m³and v= 1.14×106 m²/s. The bed sediment material is of quartz sand and the sieve diameters are d35= 0.25 mm and das = 0.5 mm. The specific gravity of the quartz sediment particles is 2.65. The stream has bed forms (note that in the solution of the problem if you like you can also make use of the Vanoni-Brooks diagram). Find the total shear stress at the bed of the stream.

PROBLEM. 3 A rectangular cross-section stream has a depth of h = 3 m, cross-section area of 200 m², and a discharge of 100 m³/s with bottom slope of 0.0001. The density and kinematic viscosity of water in the stream are p = 999.1 kg/m³and v= 1.14×106 m²/s. The bed sediment material is of quartz sand and the sieve diameters are d35= 0.25 mm and das = 0.5 mm. The specific gravity of the quartz sediment particles is 2.65. The stream has bed forms (note that in the solution of the problem if you like you can also make use of the Vanoni-Brooks diagram). Find the total shear stress at the bed of the stream.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter6: Hydraulic Conductivity

Section: Chapter Questions

Problem 6.17CTP

See similar textbooks

Similar questions

L = 370 mm A = 145 cm^2 h = 340 mm Water collected in 3 min Q = 580 cm^3 Void ratio of sand e= 0.66 Determine the Hydraulic conductivity and seepage velocity.
A layer soil has the following data: H1=3m K1=2x10^-2 cm/sH2=4m K2=3.2x10^-2 cm/sH3=6m K3=4.1x10^-2 cm/s a) Compute the equivalent coefficient of permeability in the vertical directionb) Compute the velocity of flow if h =4 m.
Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater. Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m. Given the discharge Q get in Question #1, transmissibility T in Question#2, slope S = 3/4; find the aquifer width X.
Determine the horizontal and vertical equivalent hydraulic conductivity for the following stratified soil. Take depth of each layer equal to 1.25 m Layer Hydraulic Conductivity (cm/s) 1 0.003 2 0.0003 3 0.002 4 0.0004
Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.
For a sandy soil with Gs 2.68, calculate the critical hydraulic gradient that willcause boiling or quick condition for e 0.38, 0.48, 0.6, 0.7, and 0.8. Plot thevariation of icr with the void ratio.
1) The moist unit weight of a soil is 19.2 kN/m3 . Given that Gs = 2.69 and w = 9.8%, determine: a. Void ratio b. Dry unit weight c. Degree of saturation 2) Refer to Problem 1 Determine the weight of water, in kN, to be added per cubic meter (m3) of soil for: a. 90% degree of saturation b. 100% degree of saturation
b) For a constant head permeability test on a sand, these values are given:Length of the specimen = 720 mmDiameter of the soil specimen = 210 mm2Head difference = 990 mmWater collected in 5.5 min = 635 cm3Void ratio of the soil = 0.54Hence, determine:i) Hydraulic conductivity of the soilii) Discharge velocityiii) Seepage velocity
Water flows through a fully confined sand aquifer with a piezometric head gradient of 0.025.(a) If the hydraulic conductivity and effective porosity of the aquifer are 1.72 m/d and 0.45, respectively, estimate the specific discharge and seepage velocity in the aquifer.(b) estimate the volumetric flow rate of the groundwater if the aquifer is 45 m deep and 1.2 km wide.(c) How long does it take a dissolved contaminant in the groundwater to move 1 km?
A clay layer 5 m thick has double drainage. It was consolidated under a load of 127.5 kN/m2. The load is increased to 197.5 kN/m2. The coefficient of volume compressibility is 5.79 × 10^–4 m2/Kn and value of k = 1.6 × 10^–8 m/min. Find settlement in cm at 50% consolidation. a.25.78 b.10.32 c.32.56 d.20.27
GIVEN THE FOLLOWING FOR A FULLY SATURATED SOIL: n=0.28 and Gs = 2.5 FIND THE WATER CONTENT. USE yw = 9.81 KN/(m^3). Use soil Mechanics
Determine the seepage velocity, in cm/min, if the porosity of soil is 0.30.