For a given soil, derive the followingrelation by drawing the three-phasediagram:Given:Yt = Gs Yw (1 − n) (1 + w)WYt = Gs Yw (1 − n) (1 + w)RequiredDerive the following Relation

Answered: Image /qna-images/answer/9de503ae-7419-466e-a13b-3e2c1d50271d.jpg

Answered: For a given soil, derive the following…

For a given soil, derive the following relation by drawing the three-phase diagram: Given: Yt = Gs Yw (1 − n) (1 + w) YtGs Yw (1- n) (1 + w) Required Derive the following Relation

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter2: Soil Deposits-origin, Grain-size, And Shape

Section: Chapter Questions

Problem 2.4P: For a soil, given: D10 = 0.08 mm D30 = 0.22 mm D60 = 0.41 mm Calculate the uniformity coefficient...

See similar textbooks

Related questions

Q: Part A What error results on a 200-ft sight with a level if the rod reading is 11.307 ft but the top…

Q: Question 9 For a freeway with a free flow speed of 70 mph, and an analysis volume (or flow rate) of…

Q: 15 ft 40 k 15 ft- 3 klf 15 ft- H

Q: Question #4: The can in the figure below is thin-walled and uniform density. Thin-walled indicates…

A: Length of cylinder = 3r Radius of cylinder = r Let thickness of wall = t Uniform density of material…

Q: Hand written, answers only. For this one compute support reactions and draw the shear and moment…

A: A propped cantilever beam is given with a fixed end at A and propped end at B, with the distance…

Q: If the Reduced Level (R.L.) of BenchMark (B.M.) is 100.00 m, the back sight is 1.215 m and the…

A: RL of benchmark = 100 mBack sight = 1.215 mForesight = 1.870 mTo Find :RL of forward station :

Q: 7. The inverted U-tube manometer is used to measure the difference in pressure between water flowing…

Q: The service load bending moments on a beam are 128 kip-ft for dead load and 107 kip-ft for live…

A: Beam width w = 12 inbending moment on the beam = 128 kip-ft for dead loadbending moment on the beam…

Q: 2. CALCULATE THE FORCES IN ALL THE MEMBERS OF THE REINFORCEMENTS WITH THE METHOD OF THE KNOTS. 40…

Q: Problem 1: For the given beam section below find the design moment (Mn) and C whereas f'c = 5 ksi,…

A: f'c= 5 ksify= 50 ksiTension controlled beam5-#8 tension reinforcementb=12"D=25"Effective cover =…

Q: hat does a bounding box tell you about an item when you are working in the Designe

A: Binding boxes are rectangular boxes that surround items or objects when working in a Designer tool.…

Q: What reference or what book did you use as a guide to solve the problem? Did you find the exact…

A: reactions at the supports. First of all you need to know what is the meaning of supports reaction of…

Q: b) There is a control room underneath the storage reservoir which covers the same area as the…

A: b) To calculate the total water load on the roof of the control room at maximum allowable depth, we…

Q: An is 2310 lb. If the maximum allowable normal stress in the rod is 12 ksi, determine: (a) the…

Q: Example graph of a testing of Reinforcing steel bar how can you explain this?

A: The graph of testing of the Reinforcing steel bar is given 2 specimens A & B.To Find-It is…

Q: The number of impellers required for a multistage pump to lift 4500 litres/minute against a total…

A: Given-Discharge-To determine the no. of impellers (n).

Q: What will be the unit weight of a fully saturated soil sample having water content of 37% and grain…

Q: Determine the force in member AD for the truss shown using the method of joints. D B 120 kN -4 m 60…

A: A truss is given with hinged support at A and roller support at C.At point D, 60kN and 120kN loads…

Q: One UOW student monitored 12 mm of rainfall in one-hour duration, he noticed the initial loss of…

Q: top, front and side view on autocad

A: To draw the top, front and side view of the given figure.

Q: The true and magnetic bearing of a line are 78° 45' and 75° 30' respectively. What is the magnetic…

Q: For an activated sludge plant of capacity discharge (0.4380 m³/s). The F/M ratio is 0.200 mg/mg-d,…

A: Given data Discharge= 0.4380 m3/s F/M = .200 mg /mg-d MLSS (X) = 2200 mg /L BOD5 ( so ) = 150 mg…

Q: A -1.5 m- 4 kN/m -2 m- - В — 1.5 m-

Q: A 5-storey building is used as an office floor for the ground, second and third levels and a private…

A: KLL = 4 The live load on the office floor system is 50 psf = 2.4 kN/m2Tributary area:Influence…

Q: Problem 2 The bar is supported by a roller constraint at B, which allows vertical displacement but…

Q: Determine the design flexural strength in ft kips of a W10X26 of A242 (Fy = 50ksi) steel subject to…

A: Check the slenderness of the given steel section:The section is compact.The flexural strength of the…

Q: A cantilever beam (member AC) is supported with a column (member CD). Moment M is applied to Point…

A: The length for both of the members, L =1600 mm.The applied moment, M = 65 kN·m.The flexural…

Q: A trapezoidal channel having a bottom width of 6.1 m and side slopes of 1.5H : 1 V is carrying a…

A: trapezoidal channel bottom width = 6.1 mside slopes = 1.5H : 1 Vflow, Q = 126 m3/sdepth = 5.79…

Q: Truss by Method of Joints Determine the force of the truss shown in Fig.

A: To find:The member forces in the truss using the method of joints.

Q: using method of joints, please help me calculate all the force of all the members. thanks!

Q: Draw the cross section of a 4 lane divided national highway with with unpaved shoulder on a plain…

A: Draw the cross section of a 4 lane divided national highway with with unpaved shoulder on a plain…

Q: 50 mm, 50 mm 50 mm V B D 150 mm 50 mm 150 mm 50 mm

A: A cross-section made up of wood is given.With 3 sections joined with glue.The maximum allowable…

Q: A CRCP has a crack spacing of 10 ft and a temperature differential of 56°F. Measured edge deflection…

A: crack spacing = 10fttemperature differential = 56°Fedge deflection 0.0007To find:The required…

Q: Determine the moments at all supports. Use MOMENT DISTRIBUTION METHOD

A: To determine the moments at all supports Using MOMENT DISTRIBUTION METHOD.

Q: A truss joint shown consists of a bottom chord C made up of two angles and web members A and B each…

A: shearing stress=120 MPaBearing stress=600 MPathickness = 9.5 mm diameter = 18 mm

Q: Over a great circle route between an earthquake epicentre off the coast of Chile and Hawaii the…

A: To calculate the tsunami travel time, we need to find the phase speed of the tsunami. The phase…

Q: Draw the shear force and bending moment diagram of the beam. Draw the distribution of normal stress…

A: To draw the Shear and Normal Stress distribution for T section.q=12t/m, b=85mm, h= 750mm, t=30mm B =…

Q: What are the several uses of a tirfor machine?

A: A Tirfor machine, also known as a wire rope winch or a hand-operated hoist, is a versatile tool used…

Q: A right-angled triangular channel symmetrical n section about the vertical carries a discharge of…

Q: Calculate the governing load combination for a secondary beam with effective width = 2.0 m Dead load…

A: Effective width = 2.0 mDL = 3.0 kPaCeiling services = 1.0 kPaSelf-weight of beam = 1.0kN/mImposed…

Q: 4. A system of force is shown in FIG 2. Which of the following gives the nearest resultant of the…

Q: For-the-loaded-beam-below, write-equations-for-axial, shear, and-bending-moment-as-a-function.…

A: ###Calculation of shear force , axial force, bending moment equations as function of x from A and…

Q: Evaluate how different models of construction systems use first-order differential equations to…

A: Different models of construction systems can indeed solve structural and environmental problems…

Q: 8.0 kN/m 1.3m Mo-8.0 kN/m B| 2.6m 1.3m This beam is subjected to a trianglarly distributed load and…

A: Given:Required :Maximum deflection and slope

Q: Compare and contrast the pros and cons of having two levels in an architecture building.

A: A two-story building, also known as an architectural building, has both advantages and…

Q: An existing beam shown carries an 8-ft high wall. It will be renovated and be replaced with the ff…

A: To find:The load that the beam will carry in kN/m

Q: 8.14 A fluid flows through a horizontal pipe. When the Reynolds number is 1500, the head loss over a…

Q: A tension member splice is made with 4-inch E70 fillet welds as shown in Figure 5. Each side of the…

A: Plate =2PL 7/16 x 4b=12 int=0.4375 inBase plate = PL 5/8 x 8t = 0.625 inE70 fillet weldweld thick, a…

Q: A water jet with a diameter of 10 cm and a speed of 20 m/s hits the cover AB, which makes an angle…

A: diameter of a jet d = 10 cm = 0.1 mvelocity of a jet v = 20 m/sAngle made by the cover AB = 30…

Q: Determine the magnitudes of the pin reactions at A, B, and C caused by the weight of the uniform…

A: Weight of beam =6000 lb

Concept explainers

Soil engineering for highway design

Soil engineering is a part of geotechnical engineering that deals with the characteristics of soil. It also helps to understand the behavior of the soil in different conditions. The basic concepts of soil are studied to check the strength, compressibility, and porosity of the soil. This makes soil engineering an important topic for civil engineering.

Question

For a given soil, derive the following
relation by drawing the three-phase
diagram:
Given:
Yt = Gs Yw (1 − n) (1 + w)
W
Yt = Gs Yw (1 − n) (1 + w)
Required
Derive the following Relation

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

Step 2: Derive

Step 3: Derive

Solution

Step by step

Solved in 4 steps with 3 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

Calculate the coefficient of permeability in mm/s of a soil sample, 6 cm in height and 50 cm2 in cross sectional area, if a quantity of water equal to 430 ml passed down in 10 minutes, under an effective constant head of 40 cm. a.625 X 10^-2 b.5.9 x 10^-2 c.1.6 X 10^-5 d.2.15 x 10^-2
Q3: Classify the soil sample according to the following figure using the AASHTO system and state whether this soil is suitable in its natural state for use as a subbase material or not. CLAY SIZE SILT SIZE SAND SIZE GRAVEL 100 90 80 LL = 37, PL = 10 60 50 40 30 20 10 0.075 mm 0.0001 0.001 0.01 0.1 1 10 Grain Size (mm) Percent Passing (by weight)
Hydrometer and sieve analysis were conducted on a soil sample. Find D10 Deo uniformity coefficient (Cu), coefficient of curvature (CC) considering the chart given below. Hint: Cu=Deo/D10 and CC=(D3)2 / (D1oxD6o) 100 90 80 70 60 50 40 30 20 10 0,001 CLAY 0,01 SILT 0,1 SAND GRAVEL 10 100 DANE ÇAPI/ PARTICLE SIZE (mm) Dec: (in mm) seç. CC Seç. Cu Seç. D10: (in mm) Seç. GEÇEN DANE YÜZDESİ / PERCENT FINER THAN D
For Sample A (Below), determine the: a. Uniformity Coefficient b. Coefficient of Curvature c. Well graded, poorly graded or gap graded? Particle Size Distribution GRAVEL SAND SILT or CLAY Coarse Fine Course Medium Fine 100 100 90 90 80 80 70 70 60 60 50 50 40 40 30 30 20 20 10 110 100 10 1 0.1 0.01 0.001 Grain size in millimeters Percent finer by weight
Question 2 For the shown particle size distributions curves, find coefficient of uniformity (Cu) and the coefficient of curvature (Cc) for A&D soils; 100 90 - Soil C 80 70 Soil A 60 50 Soil B Soil D 40 30 20 10 0.001 0.01 0.1 10 % Finer by Weight
Give an example problem in relation to soil compaction and dry weight of soil. 8Dry Weigiht of Soil W2 W3= o(56) 1+ 100 where: W3= dry weight of soil W2=weight of the moist soil excavated from the hole =moisture content
The following are the results of a sieve and hydrometer analysis. Analysis Sieve number/grain size Percent finer Sieve 40 100 80 97 170 92 200 90 Hydrometer 0.04 mm 74 0.015 mm 42 0.008 mm 27 0.004 mm 17 0.002 mm 11 a. Draw the grain-size distribution curve. b. Determine the percentages of gravel, sand, silt and clay according to the MIT system. c. Repeat Part b according to the USDA system. d. Repeat Part b according to the AASHTO system.
76 .ll Q3.png The data from standard and modified proctor test on a soil sample (density of solids: 2680 kg/m3 ) are provided below: Standard proctor test Modified proctor test Dry density (kg/m) 1691 Dry density (kg/m') 1873 Water content (%) Water content (%) 9.3 9.3 1715 11,8 1910 12.8 1755 14.3 1803 15.5 1747 17.6 1699 18.7 1685 20.8 1641 21.1 1619 23 a) Plot the compaction curves (both standard and modified in one graph). b) Establish the maximum dry density and optimum water content for each test.
. Given: H1 = Poisson's ratio of soil sample 1 Hz = Poisson's ratio of soil sample 2 coefficient of earth pressure at rest %3D %3D k1 for soil sample 1 k2 = coefficient of earth pressure at rest for soil sample 2 If H/42 then the value of k;/k2 will be %3D %3D = 1.5 and (1-µj)/(1-µ2) = 0.875, %3D %3D
4. From the given data, shows a sieve analysis of soil samples A, B and C. SOIL SAMPLE Sieve No. Diam (mm) A В C PERCENT PASSING 4 4.460 90 100 100 8 2.380 64 90 100 10 2.00 54 77 98 20 0.840 34 59 92 40 0.420 22 51 84 60 0.250 17 42 79 100 0.149 9. 35 70 200 0.074 4 33 63 Characteristics of -40 Fraction LL 46 47 PL 29 24 a. Classify the soil sample A using USCS method (Group Symbol only), D.=2.3, D = 0.17, b. Classify the soil sample B using AASHTO method c. Classify the soil sample C using the AASHTO method D = 0.70 30
For a soil, given: D10 = 0.08 mm D30 = 0.22 mm D60 = 0.41 mm Calculate the uniformity coefficient and the coefficient of gradation of the soil. 2.4 Repeat Problem 2.3 for the following: D10 = 0.24 mm D30 = 0.82 mm D60 = 1.81 mm
Given below is the result of a sieve analysis done on a soil sample. Percent Passing % 96 83 67 46 Sieve No. 4 10 20 40 60 100 200 Pan Diameter 4.750 2.000 0.850 0.425 0.250 0.150 0.075 26 13 8 0 Determine the value of the coefficient of uniformity.