A rectangular foundation 6 x 3m carries a uniform pressure of 300 kN/m2 near the surface of a soil mass. Determine the vertical stress at a depth of 3m below a point (A) on the centre line 1.5m outside the long edge of the foundation, as shown below. 3.0 m 1.5 m 6.0 m 300 kN/m² A

A rectangular foundation 6 x 3m carries a uniform pressure of 300 kN/m2 near the surface of a soil mass. Determine the vertical stress at a depth of 3m below a point (A) on the centre line 1.5m outside the long edge of the foundation, as shown below. 3.0 m 1.5 m 6.0 m 300 kN/m² A

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter6: Shallow Foundations: Ultimate Bearing Capacity

Section: Chapter Questions

Problem 6.6P: A 2.0 m wide continuous foundation carries a wall load of 350 kN/m in a clayey soil where = 19.0...

See similar textbooks

Related questions

Q: Q/Draw SFD and BMD 2m 12 N/m 1m 40 N

Q: A car traveling at 45 mph on a poor, wet pavement has a braking efficiency of 87%. The brakes were…

A: Vi = 45 mph Vf = 30 mph ηB =87%

Q: What is the lateral deflection at joint E in mm?

A: A truss supported at hinged support at A and roller support at E, is loaded with vertical loading…

Q: Problem 3. D/D/1 queuing. Suppose only through traffic is allowed on an intersection approach, and…

A: The saturation flow, s = 1750 veh/hr The arrival rate , v = 400 veh/hr The cycle time, C = 60 sec…

Q: (a) Calculate factored yield strength of the tension member. (b) Calculate factored fracture…

A: Cross-section of angle = L8-41/2 Grade of steel, fy=50 ksi and fu=70 ksi It is sked to determine the…

Q: On a railway track, two types of trains, passengers and freights, are being operated. The speed of…

A: Given; The radius of the circular curve = 2965 m Speed of freight trains = 22 km/h The lateral…

Q: DRAW SHear and moment DIAGRAM 32 KN 10 kN/m MA -2m 5m 12 kN/m 7m Pant 2m

A: A is at Pin support B is at roller support C at end support (point load) - Vertical forces = 0 Ra +…

Q: 2. A scraper whose weight on drivers is 16,330 kg has a gross weight of 29 030 kg. If the road…

A: Weight on driving wheels =16330kg Gross weight =29030kg , rolling resistance factor =60kg/t…

Q: If the BOD3 of a waste water sample is 75 mg/l and reaction rate constant k (base e) is 0.345 per…

A: BOD3 of a wastewater sample = 75 mg/L, Reaction rate constant K (base e) = 0.345/day, To Find- The…

Q: Use THREE MOMENT EQUATION MET determine the member end moments of the beam of the rectangular cross…

A: Calculation End Moment of beam using Three Moment Equations ####

Q: For the truss shown below, P = 9.2 kips, a = 8 ft, and b = 6 ft. Determine the force in member 2…

A: The truss with loading is shown below.

Q: Determine the Mass Moment of Inertia with respect to the x-axis, y-axis, and z-axis, p= 8050 kg/m³…

Q: 3. Draw the influence lines for vertical reactions at supports D and B and the shear and bending…

Q: Return Period 1. Maximum depth of precipitation of certain area is presented below. Based on the…

A: Depth of precipitation of certain area from year 1995 to 2015

Q: The plate is deformed into the dashed shape as shown. If in this deformed shape, the horizontal…

A: The plate is deformed into the dashed shape L = 340 mma = 7mmb = 4 mm It is asked to determine the…

Q: Draw the shear and bending moment diagrams and calculate the maximum normal stress. 25 kN - m 40…

Q: If the tension in the gantry-crane hoisting cable is T = 14 kN, determine the unit vector n in the…

A: Gantry girders are industrial cranes to carry and transportation of heavy loads. Here, the tension…

Q: Design the torsional and shear reinforcement for the beam as shown in the figure. The resulting L…

A: Concrete shear reinforcement is designed to resist forces greater than concrete's shear strength. A…

Q: A raft of 5m x 8m is founded at a depth of 3 m in a cohesive soil having c = 120 kN/m². The ultimate…

Q: A small boat weighing 40 LT has a submerged volume of 875 ft3 when traveling at 20 knots in…

A: A small boat weighing 40 LT has a submerged volume of 875 ft3 when traveling at 20knots in…

Q: 15.6 Solve Problem 15.2 for the loading shown in Fig. P15.2 and a settlement of in. at support B.…

A: Given: E = 29000 ksi=201.3876 ksf I = 1650 in4 = 0.07957 ft4 The settlement, h = 0.5 in Analyze the…

Q: The rigid bar BDE is welded at point B to the rolled-steel beam AC. 12kN load is applied 0.75m from…

A: The given beam is, Cross-section is W410*85 MOI, I = 316x106 mm4 Young's Modulus, E = 200 GPa It…

Q: 2. It is known that the cross-section size of one wall with windows is 1000mmx240mm. The wall is…

A: Given; The cross-section size of one wall with windows is 1000mm×240mm. MU15 fired common brick and…

Q: The plate is deformed into the dashed shape as shown. If in this deformed shape, the horizontal…

A: The plate is deformed into the dashed shape L = 340 mma = 7mmb = 4 mm It is asked to determine the…

Q: Problem 2. A horizontal curve is being designed for a two-lane highway (12-ft lanes). The PC is at…

A: Central angle= 40 degree Station of PC= 1200+50

Q: Find the support reactions and joint force of the construction. shown on the figure, if M=10 kNm and…

Q: The moment at the indeterminate support of a two-span continuous beam of 6 m each with simple…

Q: Problem 2. Using a surface overflow rate of 26.00 m/d and a detention time of 2.00 hours, size of a…

Q: 1. Refer the Fig. 1. Estimate the side resistance Qs by a. Meyerhof's method. K= 1.5 and 8' 0.6 Ø1…

A: Size of the concrete pile:- D= 460mm k= 1.5 L= 20m To find: (a) side resistance Qs by Meyerhof's…

Q: Q2 (b) Rankine's lateral pressure distributions against the vertical wall are include the effect of…

Q: Q1: Using Thiessen Polygons method to find the average precipitation over the area shown in the…

A: Determine the average precipitation over the area using Thiessen polygons method

Q: The shaft shown in Figure 4 is made of red brass C83400 copper with an allowable shear stress of 20…

A: Allowable shear stress, τa = 20 MPa L = 0.75m or 750 mm

Q: Use the moment distribution method to analyse.

A: L = 4 m H = 4 m E = 2475000 kN/m2 I = 0.081 m4 w = 45 kN/m

Q: If the internal radius of a hollow shaft is n times the external radius, then ratio of torques…

Q: A child and a sled with a combined mass of 50.0 kg slide down a frictionless slope. If the sled…

Q: A 1000 kg elevator car carries a maximum load of 800 kg. A constant frictional force of 4000 N…

Q: Given the following information for a compound curve that Leads with short cur o | = 98°48'13" ols =…

A: I=98°48'13''Is=32°15'53''Ts=2110.17 feetDL=1°45' To find: Length of the long curve in feet

Q: 9-15. Determine the reactions at the supports, then draw the moment diagram for each member. El is…

A: The given frame is statically indeterminate of degree 1. Therefore to determine the support…

Q: Determine the reactions at support A and D. Assume A is a pin and B is a roller 800 lb 30° -10 ft- B…

Q: A W = 12 kips/ft B hinge 6 kips/ft C 6 kips D

A: A beam is fixed at A and roller supported at C also, an internal hinge is present at B. To determine…

Q: 3. A concrete floor slab is reinforced by steel rods placed 38mm above the lower face of the slab…

Q: The composition of a certain MSW sample and specific weights of its various components are given…

A: The composition of a certain MSW sample and specific weights of its various components are given-…

Q: 9-4 Determine the deflections at the middle spans for the following simple beams. (neglect the…

A: a) b)

Q: The plate is deformed into the dashed shape as shown. If in this deformed shape, the horizontal…

A: L = 303 mm a = 3 mm b = 6 mm determine the average normal strain along the side AB

Q: From the truss shown, design all the tension members using an unequal leg angle with a b of 127mm…

A: A36 steel PDL = 150 kN PLL = 90 kN PLr = 60 kN

Q: H.W.13: For a simply supported beam with span 6.0 m, determine the area of steel required to…

Q: From the truss shown, design all the tension members using an unequal leg angle with a b of 127mm…

Q: What is the SSD of a driver/vehicle traveling at 75 mph along a 4% downhill? Assume general braking…

A: Given; V = 75 mph = 20.834 m/sec Downhill Gradient(n) = 4% = 0.04

Q: Lane groups are used during signal design to allocate green time among traffic movements at an…

A: Based on the intersection layout provided, the lane groups for the north-bound approach should be…

Q: This question is in Advanced Soil Mechanics A sand sample with = 1.95, λ = 0.04, M = 1.4, is…

A: Given; τ = 1.95 λ = 0.04 M = 1.4 Axial stress = 200 kpa radial stress = 50 kpa Specified volume…

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%

A rectangular foundation 6 x 3m carries a uniform
pressure of 300 kN/m2 near the surface of a soil
mass. Determine the vertical stress at a depth of
3m below a point (A) on the centre line 1.5m
outside the long edge of the foundation, as shown
below.
3.0 m
1.5 m
6.0 m
300 kN/m²
A

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 data

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Step by step

Solved in 3 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 circular foundation of 1.5 m diameter is constructed in a sand deposit. Given: Df =1 5 m, soil friction angle Ø =35o and soil unit weight γ =17 4kN/m3. Estimate the ultimate uplift capacity of the foundation.
The excavation 3 × 6 m for a foundation is to be made to a depth of 2.5 m below ground level in a soil of bulkunit weight = 20 kN/m3.What effect this excavation will have on the vertical pressure at a depth of 6 m measuredfrom the ground surface vertically below the centre of foundation? The influence factor for m = 0.43 and n = 0.86 is 0.10.
Calculate the settlement due to volume distortion in a clay where a rectangular-shape (flexible category) foundation 6 ft by 12 ft imposes a total loading of 220 kips. The layer of saturated clay (cohesion c is 1,500 psf) extends 12 ft deep and is underlain by rock.
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 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 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 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 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 3 m thick clay layer (cu = 50 kN/m2 and γ = 19.0 kN/m3) is underlain by a weaker clay (cu = 30 kN/m2 and γ = 18.0 kN/m3) to a large depth. A 2.0 m wide square foundation is placed at 1.8 m depth below the ground level. Determine the maximum column load that can be allowed on the foundation with FS = 3.
Calculate the stress at the end of the clay stratum σ, and the increment Δσ that the footing produces a load P = 1200 KN, at points A and B C
A continuous foundation having a width of 1.4 m is supported by a saturated clay layer of limited depth underlain by a rock layer. Given that Df = 1 m, H = 0.7 m, cu = 105 kN/m2, and γ = 18 kN/m3, estimate the ultimate bearing capacity of the foundation.
Calculate the settlement under the center of a flexible foundation 4 m by 4 m due to volume distortions occurring in a saturated clay stratum but where rock exists at a depth 8 m below the foundation. The clay shear strength c is 60 kPa. The total foundation loading imposed onto the soil is 2,400 kN.