Calculate the change in vertical stress on a drainage pipe caused by a rectangular surcharge of size 2x4m (See figure). Use Westergaard equation. q = 8 T/m² 2 m Well graded sand, sw 6 m y = 1.90 T/m³ v = 0.3 Drainage pipe 0.861 T/m2 0.108 T/m2 0.792 T/m2 0.099 T/m2

Calculate the change in vertical stress on a drainage pipe caused by a rectangular surcharge of size 2x4m (See figure). Use Westergaard equation. q = 8 T/m² 2 m Well graded sand, sw 6 m y = 1.90 T/m³ v = 0.3 Drainage pipe 0.861 T/m2 0.108 T/m2 0.792 T/m2 0.099 T/m2

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Stresses In A Soil Mass

Section: Chapter Questions

Problem 8.14P

See similar textbooks

Related questions

Q: (a) Calculate and draw the active earth pressure distribution acting on the smooth wall shown in…

Q: Q1) calculate stress tensor of a reservoir if you were given the following information: S1= 70 MPa,…

A: Given:- The principal stresses are given:- S1 = 70 MPa S2 = 80 MPa S3 = 35MPa SHmax = oriented to…

Q: A concrete dam given in the figure has water 21.52 m deep acting on its vertical sides. Assuming…

Q: Figure shows a semi-conical buttress. Calculate the total hydrostatic force acting on the surface of…

Q: 31 5-13 A long embankment with the shown cross section is proposed at the site of a road development…

A: Cross section area of the given ambankment A=50+102×12=360 m2volume of the embankment V=…

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: Problem 4 Consider the upward flow of water through a layer of sand in a tank as shown in the…

A: The saturated unit weight of sand is calculated as follows γsat = (Gs+e)γw1+e…

Q: A soil sample 10 cm in diameter is placed in a tube 1.2 m long. A constant supply of water is…

Q: 6) Consider the soil profile given in the figure below. A uniformly distributed wide-spread…

A: Let us analyse the question in step 2.

Q: Calculate the settlement of the 15 ft thick clay layer (Figure 1) that will result from the load…

Q: Figure Ql shows a 1D flow through a two layers soil column. The soil properties and cross-sectional…

A: In soil due to its height, there will be stress that is known as the total stress in the soil that…

Q: 4. A canal is cut into a soil with a stratigraphy shown in the figure below. A flow takes place…

A: Given data in question Layers depth and permeability To find out Physical meaning of permeability…

Q: (a) Calculate and draw the active earth pressure distribution acting on the smooth wall shown in…

Q: A 20-metre-wide river flows over a rock pile as shown in the figure below. The rock pile generates…

A: In order to determine the direction of the flow. we will assume a direction. If the head loss coming…

Q: The section through a dam spillway is shown in Figure 1. Determine the following 1. Quantity of…

A: Data given k= 2.5 x 10-5 m/s

Q: Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of…

A: Solution: The Flow net body diagram for the figure : The seepage loss can be calculated…

Q: In flow 0.70 0.80 Sand 1.2 230.52 1.0 B: valve оpen Out flow a) Compute the value of h1.

Q: = 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…

Q: Q3/ Calculate the vertical and horizontal stresses ov & oh around a circular opening (circular…

Q: The hydraulic radius (m)

A: Given: Diameter of circular pipe=D To find: Hydraulic radius (m)

Q: A concrete dam given in the figure has water 21.22 m deep acting on its vertical sides. Assuming…

A: Answer We are asked only vertical resultant force hence neglecting horizontal water force we can…

Q: The figure shows the layers of soil in the tube that is 10 cm by 10 cm in cross section. When the…

Q: A concrete dam given in the figure has water 22.22 m deep acting on its vertical sides. Assuming…

Q: Water is flowing through three soil layers, as shown in the following figure. The cross-section is a…

Q: 9.5 A cut is made in stiff saturated clay that is underlain by a layer of sand. (See Figure 9.10).…

Q: heaves or when its effective stress is before the bottom of the saturated clay clay. How deep can…

Q: 8.5 For the hydraulic structure shown in Figure 8.19, draw a flow net for flow through the permeable…

A: Problem 8.5:The value of hydraulic conductivity (k) is 0.002 cm/sec.Refer given Figure; the head…

Q: How to use Hazen's formula to estimate the K of an aquifer ?

A: Hazen FormulaHazen developed formula (1892; 1911) and developed a formula for estimating the…

Q: Q.2 (c) A homogeneous anisotropic embankment dam section is shown in the figure, the coefficient of…

Q: For the dam spillway shown in Figure 1, draw a flownet at a scale of 1 inch = 10 meters. Using this…

A: The values and diagram given in the question are as follows Permeability(K)=1.8*10-4 cm/sec…

Q: 4. A canal is cut into a soil with a stratigraphy shown in the figure below. A flow takes place…

A: Given data in question Permeability of all the layers Depth of canal 3 m Depths of various layers…

Q: The dam shown has a base of which 2 m. below the ground surface. The pressure distribution diagram…

Q: A rectangular channel with a flow rate of 600 liters per second has a flow depth of 1.2 m and width…

A: In this question a rectangular channel is given Breadth of this channel is equal to 2 m and depth of…

Q: A layer of soil profile in a tank with upward seepage is shown in Figure Q1. Calculate the total…

Q: Water flows through the permeable layer as shown in the figure. Given: H1 = 3.5 ft, h = 4.6ft, S =…

Q: A soil profile consists of a clay layer underlain by a sand layer, as shown in the figure. If a tube…

Q: Q1) B) using the Bingham plastic model determine the pressure losses in the annulus for the…

A: Givenflow rate Q=300 gpmDrill pipe ID d=4.276 inplastic velocity Pv=25 cpyield point…

Q: 5. Find hydraulic conductivity k in engineering applications. 7.17 Figure 7.35 shows the cross…

A: To Find :- Hydraulic Conductivity of Sand Layer.

Q: The soil profile at a site of a 10 m thick sand layer is shown in the figure below. The total active…

Q: Q4 A 0.7m long soil specimen is subject to a steady-state flow, as shown in Figure Q4. The saturated…

Q: A 120 cm diameter pipeline conveys oil (s=0.80) under a head of 150 m from the mainland to a nearby…

Q: An embankment shown in the figure is constructed. Compute and plot the distributions of the vertical…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: a) As a geotechnical engineer, explain why construction of foundations and other loads (structures)…

A: The explanations of the above given questions are as under

Q: Q.01 0.02 0.04 0 06 0.10 0.2 0.50 L 04 0.6 1.0 2 3456 8100 0.60 12.0 m 18.0m 19.0m 045 0.45 6.0 m 0…

A: Solution:- We know that the equation obtained by Boussinesq for computing vertical stress for…

Q: 6. Given the following information and applying Darcy's Law for water flow through a 150 cm soil…

Q: note that you can assume a unit thickness coming out of the page. A 500 m long levee made of…

Q: For the trial slip circle shown in figure, calculate the factor of safety. [(Given: weight of the…

Q: Figure Q1(d) shows a layer of soil in a tank with upward seepage. Given the H1 = 1.5 m, H2 =2.5 m, h…

Q: A borehole log profile in a construction project is shown in the figure. The proposed construction…

A: Given : Net stress, σnet = 12 kN/m3Unit weight of water, γw = 9.81 kN/m3…

Concept explainers

Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.

Question

Calculate the change in vertical stress on a drainage pipe caused by a
rectangular surcharge of size 2x4m (See figure). Use Westergaard equation.
q = 8 T/m?
2 m
Well graded sand, SW
6 m
Y = 1.90 T/m3
v = 0.3
Drainage pipe
0.861 T/m2
0.108 T/m2
0.792 T/m2
0.099 T/m2

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

Introduction

VIEW

Calculation

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

5. The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. Estimate the coefficient of permeability at a void ratio of 0.48. Using Casagandre equation Using Kozeny-Carman equation Find the difference in the rate of flow using the results of “a” and “b” if i = 0.70 and A = 0.6 m2.
Soil sample and flow condition are shown in the following figure: Inflow C 2m Outflow Soil ↑ B A Ysat of sand = 20 kN/m³, Yw= 20 kN/m³ (i) Find the head, h required to cause quick condition. h 2m 10m Compute the seepage force per unit volume at quick condition. Use cross-section area of tube as 1 m². (iii) A student accidentally broke the left hand riser tube to the point C at an elevation 2 m above point A. Assuming that the water level is now maintained at C, compute the new hydraulic gradient, effective stress at elevation A and seepage force at elevation A.
Given the figure below and considering a downward flow, forthe sand the following are its properties e=0.52 and Gs = 2.67, h= 0.650 and H1 = 1.20 m; H2 = 3.50 m,z = 1.50 m. a) Calculate and illustrate through a diagram the 6,u and 6' of the points C& B. Place your Calculated Values here: Inflow Point 6 6' (歲)。 Valve (open) B Outflow
Laplace equation for water flow in soil is given by Head H does not vary in y and z- direction. Boundary conditions are x=0, H=5 m, dH =-1. What is the value of H, at x = de 1.2?
Q.5) The section through a long cofferdam is shown below, the coefficient of permeability of the soil being 6x10-8 m/s. Determine the quantity of seepage entering the cofferdam. A T 5.50 m I 0 1 2 3 4 5 As = 0.70 ml +cl O. 10 4 B D 15 m
Take o, = 580 kPa (Figure 1) Express your answer to three significant figures and include the appropriate units. HÀ ? o, = Value Units Submit Request Answer Figure Part B Determine the shear stress acting on the inclined plane AB. Express your answer to three significant figures and include the appropriate units. В HA ? 30° Value Units A
EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A₁ and A₂. 14 m- 5m 11.5 m- 5 m č A₂ At point A₁ -14 m- → 5m → ← 5m 5 m A₂ 11.5 m At point A₂ H=7m ► 5 m 8 A₁ 5m+¦+ H=7m >· 5 m X A₁ 14 m 16.5 m 5 m 14 m EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A, and A₂. 14 m 16.5 m y= 17.5 kN/m³ 5m9 = (2.5 m) x (17.5 - A₂ H A0₂ (1) kN/m³) = 43.75 kN/m2 Aσ₂ (1) y= 17.5 kN/m² B A₁ 1 90 = 122.5 kN/m2 + + T 5m 9=(7 m) x (17.5 kN/m³)= 122.5 kN/m² % = 122.5 kN/m² A₂ 2.5 m →→ ● A0₂ (2) A₁ 14 m- A₂ (2) 9 (4.5 m) x (17.5 kN/m³)= 78.75 kN/m² Aar: (33) A₂ 14 m 9 m ➜ 14 m 1
The section through a long cofferdam is shown below, the coefficient of permeability of the soil being 6x10-8 m/s. Determine the quantity of seepage entering the cofferdam. T 5.50 m! 0 1 2 3 4 5 E As = 0.70 m +c 10 B to 15 m
A settling basin is designed with a loading rate of 25 m³ /m².day. The depth of basin is 2 m deep, Determine the overall removal obtained for a suspension for data are shown below. Time (min) 80 100 130 200 240 420 F 111 78 27 The specific gravity of the particles is 1.2 and water = 0.997, and µ= 1.027. 0 60 Concentration (ppm) 300 189 180 168 156
The figure shown is a dewatering plan to build the foundations of an office building below the water table without the sheet-piling. Assume that all b = 6 meters and all 1 = 4 meters in all grids of the middle flow channel. Dewatering wells Marshy soils Ah =Sm Excavated site OL Ah = 2m Ah = 2m Ah = 2m Lowered WT a. What is the value of n? b. How many flow channels are in the figure? c. How many potential drops are in the figure? d. The potential drop at area 1 is: e. The potential drop at area 2 is: f. The potential drop at area 3 is: g. The average hydraulic gradient in each net is:
for the Soil system shown in figure Draw the active lateral earth Pressure diagram lok Pa u 7 0=30 8=18 8 = 3/3/3-4 d=30 sat=20
The figure shown is a dewatering plan to build the foundations of an office building below the water table without the sheet-piling. Assume that all b = 6 meters and all 1 = 4 meters in all grids of the middle flow channel. Dewatering wells Marshy soils Ah =m Excavated site OL Ah = 2m Ah = 2m Ah = 2m Lowered WT a. What is the value of n? b. How many flow channels are in the figure? c. How many potential drops are in the figure? d. The potential drop at area 1 is: e. The potential drop at area 2 is: f. The potential drop at area 3 is: g. The average hydraulic gradient in each net is: