Point loads of magnitude 100, 200, and 400 kN act at A, B, and C, respectively. the increase in vertical stress at a depth of 6 m below point D is nearly (kN/m2) B 3 m A 3 m с 1.5 m D 0.9 O 1.3 O 1.5 O

Point loads of magnitude 100, 200, and 400 kN act at A, B, and C, respectively. the increase in vertical stress at a depth of 6 m below point D is nearly (kN/m2) B 3 m A 3 m с 1.5 m D 0.9 O 1.3 O 1.5 O

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 8.2P: A point load of 500 kN is applied at the ground level. Plot the lateral variation of the vertical...

See similar textbooks

Related questions

Q: A clay formation having a depth of 4 m. underlies a sand formation having a depth of 3, m. 16.5…

A: Depth of clay layer= 4mDepth of sand layer = 3 mUnit Weight of Sand γdry-sand = 16 kN/m3Saturated…

Q: A concentrated load of 1650 kN rests on the ground surface at coordinat Determine the net stress…

A: boussinesq theory :q=3Q2πz211+rz252 Westergaard theory :IW=Qz2π11+2rz2 32

Q: P2: A flexible L-shaped raft shown in Figure applies a uniform pressure of 60 kN/m? to the…

A: Stress Increase at Any Depth z Using Boussinesq Equation :σ=3Q2πz2[1(1+rz2)52]Where Q = Applied…

Q: 50 and 100 kN/m vertical line loads are applied on the ground surface as shown in the figure.…

A: For, load= 50 kN/m vertical stress = (2Q/Z) (1/[1+(x/z)])2 Q= 50kN/m x= 5m, Z = 30m Therefore,…

Q: Q.3) Determine the increase in vertical stress at a depth 4 m below point A due to surface loads…

A: The Stress at a Depth z below Surface ,Due to a Point Load is Given by Boussinesq's Formula , Stated…

Q: 2. The ground water level in a thick, very fine sand deposit is located 2.0 m below the ground…

Q: Point loads of magnitude 9, 18, and 27 kN act at A, B, and C, respectively (Figure 8.23). Determine…

A: Boussinesq’s formula for calculating stress below point load:

Q: a) Point loads of 1000,5000, and 3000 lbs acts on point A, B, and C respectively. Determine the…

A: Note: Since you have posted a two different question. So as per guideline it is required to solve…

Q: Point loads of magnitude 10O, 200, and 400 kN act at A, B, and C, respectively. the increase in…

Q: Compute the vertical normal stress, o, at points A, B, and C in Figure 9.11. 15.0 kN/m3: 0.9 m 2.0 m…

A: Density of soil 1, γ1 =15 KNm3Density of soil, γ2 =16.8 KNm3Density of soil, γ3 =17.2 KNm3

Q: An elevated structure is supported on a tripod. The legs are spaced 4 m apart and form the apexes…

A: The given values are:

Q: 2. The ground water level in a thick, very fine sand deposit is located 2.0 m below the ground…

Q: 2. Given a rectangular area with dimensions of 2 m by 3 m and a load of 195 kN/m, hind the vertical…

Q: capillary rise is of 50% saturated. Saturated unit weight of soil is 21.6 kN/m³. Void ratio = 0.40.…

A: Given Soil is 50% saturated in capillary rise zone

Q: Calculate the effective stress at A. 25 m Sand and- Gravel Water Table Unit Weight (y) = 20.72 kN/m…

A: Following is the given soil profile:

Q: Referring in the Fig. 2 below, B = 6m and q =150 kPa. For Point P, z = 2m and x = 1.5m. Determine…

A: Given Data: The width of the strip footing is B=6 m. The loading of the strip footing is q=150 kPa.…

Q: Q2/ For the uniformly distributed loaded area as shown below, estimate the vertical stress at point…

A: A uniformly distributed load (UDL) is a load that is distributed across the region of an element…

Q: A 5 m-thick clay (Gs = 2.65, water content = 0.28) is overlain by a 4.50m-thick layer of sand (Gs =…

Q: subject : Geotechnical Design Book : PRINCIPLE OF FOUNDATION ENGINEERING

A: q =γ H = 17 x 10 = 170 kN/m², Z= 5 mThe embankment is divided into blocks as shown in figure for…

Q: Refer to Figure below. Point loads of magnitude 500 KN, 750 KN, 800 KN, and D00 KN act at A C. E,…

A: We will use boussinesq equation.

Q: Problem 2 For the cross-section shown below, Mz = 150 kN.m and My = 250 kN.m. Determine the maximum…

Q: Using equation 10.35, determine the vertical stress (Aoz) increase below the center of the loaded…

A: The given data is shown below: z=2,4,6,8 and 10m

Q: Use the approximate method to estimate the stress (kPa) under the center of a rectangular loaded…

Q: A 5 m-thick clay (Gs = 2.65, water content = 0.28) is overlain by a 4.50m-thick layer of sand (Gs =…

Q: P2039 kg/m 10 m 15 m P- 1888 kg/m Saturated clay L Sand

A: Given data Depths Water level Saturated densities Sand Saturated clay

Q: 2. Soil with a unit weight of 16.50 kN/m³ is loaded on the ground surface by a uniformly distributed…

A: Determine (a) the vertical stress increment due to the uniform load, (b) the total vertical…

Q: A river 5m deep consists of a sand bed with saturated unit weight of 20 kN/m³, Yw = 9.81 kN/m³. The…

Q: The Two columns A and B situated 6 m apart. Column A transfers a load of 500 kN, and column B…

A: Given data: Column A load= 500 kN Column B load= 250 kN Distance between the columns=6 m. Z=2m

Q: Saturated clay has the void ratio of 1.65 and density of solids (or density of solid particles) of…

A: Answer We know that horizontal total stress for at rest earth pressure is given by σH = Ko*σV σH =…

Q: EX: The uniformly distributed vertical load on the rectangular area is q1 =100 kN/m², and the…

Q: A river 5 m deep consists of a sand bed with unit weight of 20 kN/m3. Y. = 9.81 kN/m3. The effective…

A: Saturated density and depth of river is given and it has been asked to determine effective stress 5…

Q: H.Q 4 Point loads of magnitude 100, 200, and 400 kN act at B, C, and D, respectively (Figure below).…

Q: 1 A point load of 2000 KN is acting at the surface of a thick clay stratum. Compute the vertical…

A: Solution From boussinesq's equation, σz = IbQz2 Ib = 32π1+rz252 Substituting, z= 1m to 10 m and r=…

Q: Calculate the added vertical stress at points A and B as deep as Z = 8 m, under the rectangular load

Q: A water tower is constructed on a circular raft 5 m in diameter at a depth of 2 m below ground-level…

Q: A layer of sand 5 meters deep overlies a thick bed of clay. calculate the vertical, horizontal,…

A: Vertical stress is the overburden stress is a final value of the weight of rock connects a certain…

Q: A layer of saturated clay 4m thick is overlain by sand 5m deep, the water table being 3m below the…

Q: A river 5 m deep consists of a sand bed with saturated unit weight of 20 kN/m3. Yw = 9.81 kN/m3. The…

A: Given data : γSat=20 KN/m3γw=9.81 KN/m3Depth (h)=5 m

Q: Determine the vertical stress increase 6 m below point E.

Q: A clay layer 5.61 m. thick rests beneath a deposit of submerged sand 6.16 m. thick. The top of the…

Q: H.Q 4 Point loads of magnitude 100, 200, and 400 kN act at B, C, and D, respectively (Figure below).…

A: Given that: Point load at B, QB=100 kN Point load at C, QC=200 kN…

Q: A point load of 500 KN is applied at the ground level. Plot the lateral variation of the vertical…

A: Q=500kN

Q: A soil exists in an area where the ground surface is level and the groundwater table is 3 m below…

A: Given data: Lateral pressure,σh=0.5*vertical pressure, σv Saturated unit weight of soil, γs=22…

Q: Problem 1: Point loads of magnitude 100, 200, and 400 kN act at A, B, and C, respectively. Determine…

Q: 3.2 Three point loads, 10 000 kN, 7500 kN and 9000 kN, act in line 5 m apart on the surface of a…

Q: total effective stress acting at point A,

A: Given data: Unit weight of soil = 20.15 KN/m3 Specific gravity = 9.81 KN/m3

Q: A vertical load of 260 kN is applied to a 1.2 m * 1.2 m area at the ground surface that islevel.…

A: Given: The load is 260 kN. The area of the surface is 1.2 m x 1.2 m. The depth is 1.5 m.

Q: A flexible square area (2.4 m. x 2.4 m.) is subjected to a uniformly distributed load of q = 178…

Q: A level ground surface exists in an area where soil in the underlying stratum has a wet unit weight…

A: Mohr's circle for stress combination The expression for major principal stress acting at a point is…

Q: The flexible area is evenly loaded. Knowing that q = 200 KN / m2, determine the increase in vertical…

A: q = 200 kN/m2Increase in vertical stress at point A,Depth = 4 mRadius = 6 m

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

Point loads of magnitude 100, 200, and
400 kN act at A, B, and C, respectively. the
increase in vertical stress at a depth of 6 m
below point D is nearly (kN/m2)
В
3 m
3 m
C 1.5 m D
0.9 O
1.3
1.5 O

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m, and z = 4 m. In this case, point A is located below the centerline under the strip load. 10.12 Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43
The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.
A strip load of q =53 kN/m^3 is applied over a width B =11m. Determine the increase in vertical stress in kPa at point A located z = 4.6 m below the surface. x = 8.2m
A flexible rectangular area 3m by 2m is subjected to a uniformly distributed load of q = 200 kN/m2. Determine the increase in vertical stress at the center at a depth of z = 3 m.
A flexible circular area of radius 3.3 m. is uniformly loaded by q = 315 kN/m². Determine the increase in vertical stress, 3.5 m. deep at its center.
Using Boussinesq’s Equation determine the vertical stress increase ΔϬz, at point C at a depth 3.0 meters , if the point loads at A,B and D are 200 KN, 400KN and 600KN respectively. ΔϬzC =_____________KN/m2.
A steel storage tank 20 m in diameter will be used to hold a liquid petroleum product. When filled, the tank causes a bearing pressure of 150 kPa. The soil underlying the tank has a unit weight of 18.5 kN/m3. For a depth 10 m below the base of the tank, compute the effective vertical stress when the tank is empty and when full, for points beneath the center and beneath the edge.(a) Assume the Boussinesq conditions apply.(b) Assume the Westergaard conditions apply.
The Two columns A and B situated 6 m apart. Column A transfers a load of 500 kN, and column B transfers a load of250 kN. Determine the resultant vertical stress increase at points vertically below the columns on a horizontalplane 2 m below the ground surface.
If the water table was found in the interface of clay and sand instead (at 5m depth), graph the effective stress diagram of the profile. Consider a 2.5m capillary rise and S = 85% in that capillary zone. The properties of the first clay layer apply to the entire zone above the capillary zone. For specific gravity, Gs = 2.68.
Refer to Figure P6.3. Determine the vertical stress increase Δσ at point A with the values q1 = 90 kN/m, q2 = 325 kN/m, x1 = 4 m, x2 = 2.5 m, and z = 3 m.
An elevated structure is supported on a tripod. The legs are spaced 4 m apart and form the apexes of an equilateral triangle. Compute the increase in the vertical stress at a depth of 3m (i) beneath the point of intersection of the angular bisector (ii) beneath the centre of one of the sides of the triangle if each one of the legs carries a concentrated load of 1000Kn. Explain with diagram.
The circular flexible area uniformly loaded (q=320KN/m^2). Determine the change in vertical stress: (a) at point A. (b) at a point 2m below point A