A square foundation of B = 4 m applies a uniform pressure of 17.5 kN/m² to the underlaying ground. Determine the vertical stress increase using at a depth of Im below the center using: a) 2:1 method b) m and n method. c) Stress isobars

A square foundation of B = 4 m applies a uniform pressure of 17.5 kN/m² to the underlaying ground. Determine the vertical stress increase using at a depth of Im below the center using: a) 2:1 method b) m and n method. c) Stress isobars

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: as shown. Select the lightest suitable W250 section beams if the allowable flexural stress is 125…

Q: A reinforced concrete beam having a width of 500 mm and an effective depth of 750 mm is reinforced…

A: Compressive force is given by C ; C = 0.85 × f'c × a × b where ; f'c = 28 MPa a = fy × As0.85 × f'c…

Q: Problem Set 2: A 5-m overhanging wide flange beam carries a uniformly distributed loaded of…

Q: A triangular open channel with (0.25m) depth and 60 angle conveys water. If the bed slope is (1:137)…

A: C=52 To find discharge

Q: In the figure below, a joint is made by gluing two plywood gussets of thickness t to wood boards.…

Q: Q1. 11.3). Determine the moments at the supports A and C, then draw the Moment Diagram Assume joint…

A: FEM - Fixed End Moments ; AB = - wL8 = -25 × 68 = - 18.75 KN-m BA = wL8 = 25 × 68 = 18.75 KN-m BC =…

Q: For the beam shown, the maximum moment is at midspan and equals .8 kN.m 4kN/m 3m * 3m 4 кирт t

A: A beam with uniform varying load is given at both sides and it has been asked in the question to…

Q: ce cond

A: Douglas Fir is a first class wood which is used for many purposes in Canada and British Columbia. It…

Q: A simple beam AB supports five equally spaced loads P (see figure). Find the reactions at the…

A: Given,L = 36mP = 15 N

Q: A simply supported beam is subjected to a triangularly distributed load of Q = 2.3 kN/m over segment…

A: For the equilibrium of the beam (i) ∑MA =0 (ccw +ve, cw -ve) (RB x 3L) - [0.5 x 2.3 x L x {2L +…

Q: Minimum shearing stress and maximum torsional stress occur at the center of the circular shaft under…

Q: In the figure below, a joint is made by gluing two plywood gussets of thickness t to wood boards.…

Q: You are the manager of a large crude-oil refinery. As part of the refining process, a certain heat…

Q: A cut is to be made in a soil for a canal 1 having side slopes of 1: 1 to a depth of 8 m below the…

A: given- side slope=112:1depth H=8 mcohesion C=15 kN/m2ϕ=10ovoid ratio e=0.86specific gravity…

Q: Kindly solve as fast as possible.

A: slope angle in this figure tan θ =1.5/1 θ=62.566° ∅ is not given so we assume ∅ value approx 0°…

Q: A 1000g of sand has been soaked for at least 24hours prior to lab. After drying the sample to…

Q: Longitudinal spacing of bolts in built-up members is reversely proportional to the applied shear…

A: True If the member is subjected to shear force V. The bolts required to resist this will be directly…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Problem Sets: 2) A truck and trailer combination having the axle loads as shown in the figure rolls…

Q: the slope of the beam at E and (b) the deflection of the beam at C.

Q: Situation 5 - An open cylindrical vessel 4 m in diameter and 6 m high is two-thirds full of water.…

Q: A 1775g of coarse aggregates was soaked for at least 24hours prior to the lab. It is then brought to…

Q: The radius of the moon is roughly 1080 miles. The acceleration of gravity at the surface of the moon…

A: Given : radius of the moon, R=1080 miles 1 mile = 5280 ft acceleration due to gravity on moon, g…

Q: For the section shown, if a = 3 cm, b = 6 cm and h = 24 cm, then the moment of inertia about the…

Q: The simply supported beam of channel cross-section carries a uniformly distributed load and a…

Q: The bee is travelling from point A to point B in a parabolic path shown in the figure. If its…

Q: For an element subjected to ox = 40 MPa (compressive), oy = 30 MPa (tensile) and txy = +20 MPa, the…

A: -40.31 is the correct answer.

Q: A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape…

Q: Problem 3 For the compound beam shown in Figure 4, determine the reaction forces, calculate the…

A: Given ;

Q: A 1.65m long rod with a circular cross-section is subjected to a tensile load of 50 kN. The rod is…

A: Given :

Q: A 1.65m long rod with a circular cross-section is subjected to a tensile load of 50 kN. The rod is…

Q: In the figure below, the 0.89-in diameter pins at A and C that supports the structure are in single…

Q: The simply supported steel beam is loaded by the 20 kN-m couple as shown in the figure. Using E= 200…

Q: 8) the radius of the moon is roughly 1080 miles. The acceleration g of gravity at the surface of the…

A: Find: velocity of escape from the moon we know Velocity of escape, Vescape = 2gmoon R where…

Q: The strain components &x, &y, and Yxy are given for a point in a body subjected to plane strain.…

A: Given: Normal strain in x direction Normal strain in y direction Shear strain

Q: Prob. 2.3-12. A thin sheet of rubber in the form of a square (Fig. P2.3-12a) is uniformly deformed…

A: Stress : Stress is the force of resistance per unit area provided by a body against deformation. The…

Q: It is known that the y-component of the force F exerted on pin P is 37 lb when = 28° and 3 = 11°.…

A: Fx = -11.31 lb The magnitude of answer is correct. Just add the negative sign before the answer.

Q: Longitudinal spacing of bolts in built-up members is reversely proportional to the applied shear…

A: Asked: To determine whether the given statement is true or false corresponding to longitudinal…

Q: Find the intensity discharge of vertical overflow spillway which downstream equation is y = 0.05x185…

A: The values given in the question are as follows: Downstream equation- y=0.05*x1.85 y=depth of water…

Q: The bar is smooth. The 10-kg slider at A is given a downward velocity of 5.7 m/s. What is the…

A: given 10 kg slider downward velocity = 5.7m/s2 find magnitude of normal force the bar exerts on the…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: EI = 44 x 106 lb·ft2 w0 = 6500 lb/ft L@AB = 4.5 ft L@BC= 10 ft L@CD = 5 ft Consider a section x-x at…

Q: For Tourism. What is your RAIL Transportation Future Goal? And Why?

A: Rail Transportation or Railway is considered the most suitable and the cheap means of transport for…

Q: An L = 31-ft-long soldier beam is used as a key component of an earth retention system at an…

Q: (a) Ox= Oy= y Txy= (b) Op1= Op2 = Tmax in-plane = X psi psi psi psi psi b psi

A: In this diagram xy represents the plane Where σx = OD and σy = OE and shear stress on that plane Txy…

Q: The 250-kg cart is initially rolling down the incline at a speed of 4 m/s when a force P is applied…

A: Given ;

Q: 6-2.1-1: Determine the critical buckling stress and critical buckling load of a W14X109 if Lx = 20'…

A: In the question section W14X109 us given with Lx = 20' and Ly = 12', it has been asked in the…

Q: At t = 0 the tank shown in fig. is full up to top level, 25 of write the differential 25 equation…

Q: point. Show the angle ep (counterclockwise is positive, clockwise is negative), the principal strain…

Q: For the beam shown, calculate the beam slope at A. Assume that a = 80 in., b = 270 in., c = 109 in.,…

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Slope: The angle which is formed between the deflected beam and the actual beam at the same point…

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

Problem 2:
A square foundation of B = 4 m applies a uniform pressure of 17.5 kN/m²
to the underlaying ground. Determine the vertical stress increase using at a
depth of 1m below the center using:
a) 2:1 method
b) m and n method.
c) Stress isobars
d) Newmark Method

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

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 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.
Solve Problem 7.8 using Eq. (7.29). Ignore the post-construction settlement. 7.8 Solve Problem 7.4 with Eq. (7.20). Ignore the correction factor for creep. For the unit weight of soil, use γ = 115 lb/ft3. 7.4 Figure 7.3 shows a foundation of 10 ft × 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft2. For the sand, μs = 0.3, Es = 3200 lb/in.2, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. Use Eqs. (7.4) and (7.12).
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)]
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.
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.
Consider a continuous foundation of width B = 1.4 m on a sand deposit with c' = 0, Φ' = 38° and γ = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 4.31). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination β = 18°. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (4.85)] b. for a reinforced type of loading [Eq. (4.86)]
(b) Figure Q2 (b) shows the ring foundation to support a silo. Given R1 = 3 m while R2 =6 m. The total vertical load is 7500 kN. (i) Calculate and plot the vertical stress increase with depth up to 7 m (use 1 minterval) under the centre of the ring (point O).(ii) Determine the maximum vertical stress increase and its location.
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.
A 4.5 m square foundation exerts a uniform pressure of 200kN/m2 on soil. Determine; i. The vertical stress increments due to the foundation load to a depth of 10m below its center. ii. The vertical stress increment at a point 3m below the foundation and 4m from its center a long one of its axes of symmetry.
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 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.