Compare the stress increase occurring 2 m below the center of a 3 m by 3 m square foundation imposing a bearing pressure of 145 kPa (145 kN/m2) when:(a) the Boussinesq stress distribution is assumed.(b) the 60° approximation is assumed.

Compare the stress increase occurring 2 m below the center of a 3 m by 3 m square foundation imposing a bearing pressure of 145 kPa (145 kN/m2) when:(a) the Boussinesq stress distribution is assumed.(b) the 60° approximation is assumed.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter17: Settlement Of Shallow Foundations

Section: Chapter Questions

Problem 17.11P

See similar textbooks

Related questions

Q: If the gauge of the railroad shown on the plan above is 1.7 m and produces a line-like loading at…

Q: The embankment shown in FIG: 1 will be modified for the construction of a parking Plaza, that will…

A: Following is the given information: Additional uniform stress, 101.00 KNm2 Height of retaining wall,…

Q: Practice Problem: Refer to Figure 3.70, a flexible square area is subjected to a uniformly…

A: Given: The distributed load (q) is 100 kN/m2. The depth is 4 m. Consider the figure,

Q: A concentrated load of 45000 Ib acts at foundation level at a depth of 6.56 ft below ground surface.…

A: Solution; Given that; Q=45000 lb r=16.4 ft z=32.8 ft

Q: If the gauge of the railroad shown on the plan above is 1.7 m and produces a line-like loading at…

A: Data given;Gauge of railroad= 1.7mdistance (Y) = 1.9mDepth = 0.5mFormula used:I=1π(2×θ+sin2θ)

Q: A rectangular foundation of 4m x 6m (as shown in Figure 4) transmits a stress of 150 kPa on the…

A: given stress σ=150kPa

Q: A circular foundation 12 ft in diameter imposes a pressure of 8,000 psf onto the soil. At the 12-ft…

A: Given data:

Q: A rectangular foundation 4 m × 6 m (Figure P7.20) trans- mits a stress of 100 kPa on the surface of…

A: We have to find the value of depth at which the increase in vertical stress below A less than 10% of…

Q: A square foundation of (5m x 5m) is to carry a load of 4000KN.calculate the vertical stress at a…

Q: A rectangular footing as shown in the figure below (shaded area) exerts a uniform pressure of 500…

A: Given- P=500KN/m2d=2m

Q: What is the depth factor in Taylor's stability analysis if the depth of hard stratum below toe is 5m…

A: given- D=5 mH=10 mdepth factor is required

Q: Calculate the stress at the end of the clay stratum σ, and the increment Δσ that the footing…

A: Given a clay stratum and a footing produces load of P=1200kN To Determine: The stress increment Δσ…

Q: 5.4 A shallow foundation 25x18m carries a uniform pressure of 175kN/m². Determine the vertical…

Q: 10-16. A 1 m cube within a mass of stressed soil has a stress of 100 kPa on its top and bottom…

A: since the given question is having multi sub parts therefore as per guidelines only 1-3 subparts…

Q: A 4.5m square foundation exerts a uniform pressure of 200kPa on a soil. Determine (i) The vertical…

A: Given Data:Size of footing = 4.5×4.5 Pressure = 200kpaIt is asked to find vertical stress at:(i)…

Q: SITUATION: In accordance with Boussinesq theory, the vertical stress at a point below the center of…

Q: A water tower is founded on a circular ring type foundation. The width of the ring is 4 m and its…

A: Circular Ring Type Foundation:Internal radius of ring, Ri = 8 mExternal radius of ring, Re = 8 + 4 =…

Q: A concentrically loaded isolated square footing of size 2 m × 2 m carries a concentrated vertical…

A: Given- square footing 2 m×2 mvertical load=1000 kN

Q: A point load of 700 kN is applied on the surface of thick layer of saturated clay. Using…

Q: A rectangular foundation 4 m x 6 m transmits stress of 300 kPa on the surface of a soil deposit, as…

A: r=4m z=5m

Q: A uniformly distributed line load of 500 kN/m is acting on the ground surface based on Boussinesq's…

A: Given data: A uniformly distributed line load of 500 kN/m. The ratio of vertical stress at a depth 2…

Q: A concentrically loaded isolated square footing of size 2 mx 2 m carries a concentrated vertical…

Q: A flexible foundation of width B =2 m applies a uniform pressure of 17 kN/m² to the underlaying…

Q: 10 ft Point loads of magnitude 2000, 4000, and 6000 lb act at A, B, and C, respectively as shown on…

A: Given: The point load at A is 2000 lb. The point load at B is 4000 lb. The point load at C is 6000…

Q: A point load of 700 kN is applied on the surface of thick layer of saturated clay. Using…

Q: Consider a square-shaped area ABCD on the ground with its Centre at M as shown in the figure. Four…

A: Given:- Four concentrated loads are applied on the corners of the area ABCD The magnitude of the…

Q: A shallow foundation 25 x 18 m carries a uniform pressure of 175 k N / m 2 . Determine the vertical…

Q: A concentrically loaded isolated square footing of size 2 m x 2 m carries a concentrated vertical…

Q: square flexible foundation of width B = 2 m applies a uniform pressure of 17 kN/m? to the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Determine the internal friction angle of a cohesionless soil that has been tested under a normal…

A: Given: Cohesion = 0 Normal stress = 200 kN/m2 Shear stress = 100 kN/m2

Q: Continuation of the problem. Determine the major principal stress in kPa at 31 m below the ground at…

A: Since he has asked to find the vertical stress at the center of footing , the radius (r) is equal to…

Q: For the given failure surface, identify the different flownet lines (what they indicate), and…

A: Question is based on stability of slope . In the question unit weight of soil, cohesion and angle of…

Q: A concentrically loaded isolated square footing of size 2 m x 2 m carries a concentrated vertical…

A: Given data in question Load Size Boussinesq's theory To find out Depth

Q: SITUATION: In accordance with Boussinesq theory, the vertical stress at a point below the center of…

A: Bearing Pressure exerted by footing is given by qB=Concentrated LoadArea of Footing Concentrated…

Q: A 2-m diameter flexible foundation applies a uniform pres- sure to the underlying soil of 200 kN/m.…

Q: A rectangular foundation 4 m x 6m (Figure P1.20) trans- mits a stress of 100 kPa on the surface of a…

A: The load on the foundation is calculated as,

Q: Problem No. 1 An earth embankment diagram is shown in Figure. Determine the stress increase at point…

A: I try to give detail and neat explanation for this question, so if possible give me a feed back plz?…

Q: A rectangular concrete slab, 3 m x 4.5 m, rests on the surface of a soil mass. The load on the slab…

Q: 100 kN point loạd and 40 kN/m line load are applied on the ground. surface as shown. Compute the…

Q: For the linear stress variation over the base of the dam, locate where the resultant crosses the…

A: Given, Unit weight of concrete, γ'=2.5γγ=10 kN/m2γ'=2.5×10=25 kN/m2 B=18 m

Q: A square foundation of B = 4 m applies a uniform pressure of 17.5 kN/m² to the underlaying ground.…

A: Given:- The square footing of B = 4 m Pressure = 17.5 kN/m2 Depth = 1 m To find:- From the given…

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

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

Q: For the determination of earth pressure, Coulomb's wedge theory assumes that (A)the back of wall is…

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: 1. Given a concentrated load of 200,000 lbs, find the vertical stress (p) at a depth of 15 ft and 10…

A: As per our guidelines we are supposed to answer only one question. Kindly repost the other questions…

Q: A concentrically loaded isolated square footing of size 2 m x 2 m carries a concentrated vertical…

Q: (c) Figure 3.2 shows the general arrangement for a total stress analysis of a clay slope. Prove from…

Q: (Q4): For the soil profile shown in figure (2) find the difference in stress in (kPa) at point…

Q: Refer to the figure below. Ao,, at point A with the following values: q1 = 120 kN/m; q2 =350 kN/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

Compare the stress increase occurring 2 m below the center of a 3 m by 3 m square foundation imposing a bearing pressure of 145 kPa (145 kN/m2) when:
(a) the Boussinesq stress distribution is assumed.
(b) the 60° approximation is assumed.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

A shallow foundation 25 x 18 m carries a uniform pressure of 175 k N / m 2 . Determine the vertical stress at a point 12 m below the mid-point of one of the longer sides ( a ) using influence factors. (b) by means of Newmark's chart.
A circular foundation 12 ft in diameter imposes a pressure of 8,000 psf onto the soil. At the 12-ft depth, determine the vertical stress increase beneath the center and the edge of the loaded area, assuming:(a) the Westergaard conditions apply.(b) the 60° approximation.
A square foundation of (5m x 5m) is to carry a load of 4000KN.calculate the vertical stress at a depth of 5m below the center of the foundation. IN=0.084 for m=n=0.50 Also, determine the vertical stress using the 1:2 distribution method.
Point loads of magnitude 100, 200, and 400 kN act at B, C, and D, respectively (Figure P6.2). Determine the increase in vertical stress at a depth of 6 m below point A. Use Boussinesq’s equation.
A 5-m-diameter tank supported on the surface of a soil deposit imposes a bearing pressure of 225 kPa (225 kN/m2). For a point 4 m below the tank base, compare the vertical stress increase due to the tank loading when:(a) the Westergaard conditions are assumed.(b) the 60° approximation is assumed.
Refer to Figure 10.47. A flexible rectangular area is subjected to a uniformly distributed load of q = 330 kN/m2 . Determine the increase in vertical stress, Δσz , at a depth of z = 6 m under points A, B, and C
A rectangular concrete slab, 3 m x 4.5 m, rests on the surface of a soil mass. The load on the slab is 2025 kN. Determine the vertical stress increase in kPa at a depth of 3 m at the distance of 1.5m from the lower corner point between the right edge and the bottom edge.
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.
The soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?
The plan of a flexible circular loaded area is resisting the uniformly distributed load(q), 835 kN/m2 with the radius of 5.7 m. Illustrate and calculate the increase in thevertical stress (Δσ) at a depth of z = 7.2 m below point A which is immediately belowthe center.
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 point within an embankment slope has a vertical normal stress (v) of 100 kPa, a horizontal normal stress (x) of60 kPa, and a horizontal shear stress (xy) of 20 kPa.(a) Determine the major and minor principal stresses.(b) Determine the orientation of the major principal stress (in degrees from vertical, clockwise, orcounterclockwise.(c) Draw the Mohr Circle and schematic of the element stress state