A rectangular footing 6 x 3 m carries a uniform pressure of 300 kN/m2 on the surface of a soil mass. Determine the vertical stress at a depth of 4.5 m below the surface on the center line 1.0 m inside the long edge of the foundation.

A rectangular footing 6 x 3 m carries a uniform pressure of 300 kN/m2 on the surface of a soil mass. Determine the vertical stress at a depth of 4.5 m below the surface on the center line 1.0 m inside the long edge of the foundation.

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 8.11P

See similar textbooks

Related questions

Q: The centroid of a strip foundation whose width, B, is 5.0 m is located 10 m away from the edge of a…

A: Given: The width of the foundation is 5 m. The vertical cut depth is 4.0 m. The undrained shear…

Q: 7. A shallow square foundation with the dimension of 2.5m by 2.5m is constructed at a depth of 1.5m…

Q: A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m2 .Its…

A: given data:-contact pressure=300kn/m2 external dia=10m internal dia=6m

Q: Calculate the settlement under the center of a flexible foundation 4 m by 4 m due to volume…

A: Given data:

Q: Q2: A rectangular foundation 4 x2 m, carrying a uniform pressure of 200 kN/m, is located at a depth…

Q: Determine the net ultimate bearing capacity of a mat foundation measuring

A: Given : L = 20m B = 9m Df = 0.5m ϕ = 0 Cu=95 kN/m2

Q: A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stressi ncrease…

A: solution given line load q = 100Kn/m given point x = 2.5mz=1.5mthe increase in verticle stress due…

Q: A circular foundation of 1.5 m diameter is constructed in a sand deposit. Given: Df =1 5 m, soil…

A: The soil is sand so C=0. The depth of foundation is Df=1.5 m. The friction angle is ϕ=35°. The unit…

Q: Consider a continuous foundation of width B = 1.4 m on a sand deposit with c' = 0, Φ' = 38° and γ =…

A: For the corrections, the depth factor is the important one taken into account. The depth factor…

Q: A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m 2…

A: The formula for stresses under circular ring foundation. σz=q1-1R/z2+13/2

Q: A 4.5m square foundation exerts uniform pressure of 200kn/m^2 on a soil . Determine 1:the vertical…

A: Given: The dimension of the square foundation is 4.5 m. The uniform pressure is 200 kN/m2.

Q: A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Dr = 1.2 m, H =…

A: L=3m B=1.5m Df=1.2m H=3m Es=600KN/m2 q∘=150KN/m2

Q: A foundation measuring 1.2 m x 2.4 m in plan is constructed in a saturated clay. Given: depth of…

A: The ultimate uplift capacity of foundations with special reference to transmission tower footings is…

Q: A 6 m. x 9 m. rectangular foundation carrying a uniform load of 288 kPa is applied to the ground…

A: The stress distribution is the stress at any point below the ground surface due to the externally…

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: Problem 7: A foundation measuring 1.2 m * 2.4 m in plan is constructed in a saturated clay. Given:…

A: Given :- Dimension of foundation = 1.2 m× 2.4 m Unit weight of the soil = 18 kN/m3 Depth of the…

Q: H.Q6 A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Dr = 1.2…

A: Solution: Flexible Foundation dimensions; B×L=1.5 m ×3 mDf=1.2 mH=3 mES(clay)=600 KN/m2q0=150 KN/m2

Q: A footing of 2 m x 1 m exerts a uniform pressure of 150 kN/m² on the soil. Assuming a load…

A: given-footing 2 m×1 mpressure = 150 kN/m2depth=1 m

Q: A square shallow foundation (B × B) is planned to be constructed on a normality consolidated (NC)…

A: Solution Given Data γ= 19.24 kN/m3Cc=0.25e0=0.8c'=25 kPaFOS= 4

Q: The 6m x 9m rectangular foundation shown cariies a uniform loau of 325 kPa. a. Compute for the net…

A: aDivide the rectangle into 4 parts b=92=4.5L=62=3mm=bz=4.56=0.75n=Lz=36=0.5Using graph…

Q: A 2.0 m wide square foundation is placed at 0.5 m depth in a saturated clay where cu= 40 kN/m2 and…

A: Given :- Width of the foundation (b) = 2 m Depth of the foundation (h) = 0.5 m Cu = 40 kN/m2 Unit…

Q: A square foundation is 1.5m x 1.5m in plan. The soil supporting the foundation has a friction angle…

Q: Explain the attached problem

A: Bf = 1.2m Df = 1m γ = 15.5 KN/m3ϕ = 35°c' = 0

Q: A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress σz, at a…

A: Given data: Width of the foundation (B) = 0.6m line load (q) = 100 kN co-ordinate of x = 2.75m and,…

Q: A square footing foundation, 3 m by 3 m, and positioned on the ground surface of a soil deposit,…

A: (a) The expression for the surface load is given by, Here, q is the surface load, Q is the load…

Q: A rectangular footing 6 x 3 m carries a uniform pressure of 300 kN/m 2 on the surface of a soil…

A: A rectangular footing dimension 6m x 3 m. Uniform pressure = 300KN/m2 Vertical stress at a…

Q: A reinforced concrete tower is provided on a ring foundation of inner diameter of 6m and outer…

Q: A footing 2m x lm exerts a uniform pressure of 150 kN/m? on the soil. Assuming a load dispersion of…

Q: A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m2 .Its…

A: given data outer diameter of raft=10 m internal diameter of raft=6 m pressure of raft=300 kn/m2…

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

Q: A rectangular foundation in a saturated clay deposit measures 1.5m× 3.0m in plan. The data given: Df…

A: Ultimate uplift capacity of the foundation : Ultimate uplift capacity of the foundation is denoted…

Q: Refer to Figure P5.5. Using the procedure outlined in Section 5.5, determine the average stress…

A: The formula to calculate the total stress increase caused by a rectangularly loaded area for any…

Q: - A 1.2 m wide long (strip) footing carries a wall loading of 36 kN per meter of wall length. What…

A: Given:-L=1.2 m = 1200mmLoad= 36kN/mdepths = 1m,2m,4mTo find:-vertical stress results according…

Q: Question Attached

A: Uplift capacity of foundations: The uplift forces can be experienced by the foundations under…

Q: A 3 m thick clay layer (cu = 50 kN/m2 and γ = 19.0 kN/m3) is underlain by a weaker clay (cu = 30…

A: Data given Thick clay layer cu = 50 kN/m2 γ = 19.0 kN/m3 Weaker clay cu = 30 kN/m2 γ = 18.0…

Q: A strip Foundation ( a long foundation in which the length is much longer than the width) of width…

A: Given dataz=width=1 mQ=point load=40 KNσZ=3Q2πz2(11+rz2)5/2 at the edge of foundation r=0at tat…

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

Q: 6. A rectangular footing 6x3 m carries a uniform pressure of 300 KN/m2 on the surface of of a soil…

A: Note:- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

Q: A square foundation is shown in Figure 4.30, with e = 0.3 m and eg = 0.15 m. Assume two-way…

A: Given Data: Width of square footing is B=1.5 m. Length of square footing is L=1.5 m. Depth of square…

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: A column foundation [ 2.0 m x (1.7m] in size is located at a depth of 1.4 m in a strong cohesive…

A: The following figure shows the sketch of the foundation. Given Data: Length of foundation is L=2 m.…

Q: EXAMPLE 7.14 A rectangular foundation in a saturated clay measures 1.5 m x 3 m. Given: D; = 1.8 m,…

A: Ultimate uplift capacity can be calculated by using Terzaaghi's and Skempton's theory.Here we are…

Q: A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m2. Its…

Q: A square footing of 2 m side is subjected to a vertical load of 2000 kN. Assuming load dispersion as…

Q: A strip foundation (a long foundation in which the length is much longer than the width) of width 1m…

A: The given data is: Load transmitted by strip footing (q) = 40 kN/m Width of footing (B) = 1 m Depth…

Q: Determine the vertical stress at point A (use influence factors) at the depth of 8m and point B (use…

A: The values and diagrams given in the question are as follows: Uniformly distributed load(q)=250 kPa…

Q: A water tank is required to be constructed with a circular foundation having a diameter of 20m…

A: Answer Given Diameter of water tank=20 m Pictorial representation of given condition of water tank -…

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

100%

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 rectangular footing 6 x 3 m carries a uniform pressure of 300 kN/m 2 on the surface of a soil mass. Determine the vertical stress at a depth of 4.5 m below the surface on the center line 1.0 m inside the long edge of the foundation?
A 6 m. x 9 m. rectangular foundation carrying a uniform load of 288 kPa is applied to the ground surface. Compute the total vertical stress in kPa due to this uniform load at a depth of 6 m. below the center of the loaded area if unit weight of soil is 18,30 kN/m.
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 footing foundation, 3 m by 3 m, and positioned on the ground surface of a soil deposit, supports a column load of 1,350 kN. Determine the vertical stress resulting from the foundation loading at a depth 3 m below the base of the footing for locations beneath the center and beneath the edge, assuming:(a) Boussinesq conditions apply.(b) Westergaard conditions apply.
a 6m square foundation exerts a uniform pressure of 300kPa on a soil.Determine a.vertical stress increments due to the foundation load to a depth of 10m below its center
A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress σz, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the x-coordinate is normal to the line load from the central line of the footing.
A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m 2 . Its internal diameter is 6 m and external diameter 10m. Compute the vertical stress on the center line of the footing due to the imposed load at a depth of 6.5 m below the ground level. The footing is founded at a depth of 2.5 m.
A circular ring foundation for an overhead tank transmits a contact pressure of 300 kN/m2. Its internal diameter is 6 m and external diameter 10m. Compute the vertical stress on the center line of the footing due to the imposed load at a depth of 6.5 m below the ground level. The footing is founded at a depth of 2.5 m.
A strip Foundation ( a long foundation in which the length is much longer than the width) of width 1m is used to transmit a load of 40 KN/ m from a block wall to the soil. Determine the increase in total vertical stress at a depth of 1m under the centre and at the edge of the foundation.
A 4.5m square foundation exerts a uniform pressure of 200kPaon a soil. Determine(i) The vertical stress increments due to the foundation load to adepth of 10 m below its center and(ii) The vertical stress increment at a point 3m below thefoundation and 4m from its center along one of the axes ofsymmetry.
A 2.0 m wide continuous foundation carries a wall load of 350 kN/m in a clayey soil where = 19.0 kN/m3, c = 5.0 kN/m2, and = 23. The foundation depth is 1.5 m. Determine the factor of safety of this foundation using Eq. (6.28).
Consider a continuous foundation of width B = 1.4 m on a sand deposit with c = 0, = 38, and = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 6.33). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination = 18. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (6.89)] b. for a reinforced type of loading [Eq. (6.90)]