2. A continuous foundation with a width B = 6 ft is constructed on a layered system consisting of a strongsand over a soft saturated clay. The D; = 8 ft (shown as H₁), H₂ = 4 ft, and the material properties forthe clay layers are shown below. Considering a factor of safety of 3, determine the gross allowablebearing capacity (gall) of the foundation.Sand Layer 1V₁ = 120 lb/ft³+1'=35°c₁' = 0 psfClay Layer 2V₂ = 100 lb/ft³$2=0°c₂' = 2,000 psf H₁H2BxLLayer 1V1Φι*V2Layer 2Φι

Answered: 2. A continuous foundation with a width…

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter5: Ultimate Bearing Capacity Of Shallow Foundations: Special Cases

Section: Chapter Questions

Problem 5.9P

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A foundation (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit. a. Evaluate increases of vertical stresses points A, B, and C at the depth of 2m and Sm (2 points) b. At what depth is the increase in vertical stress below A less than 10% of the surface stress? 6 m +2 m- A 2 m -4 m- Figure 1: Plan of foundation
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A vertical column load, P = 600 kN, is applied to a rigid square concrete foundation. The foundation rests at a depth Df= 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity, Es = 20,600 kN/m², and Poisson's ratio, µs = 0.3. Calculate the required foundation dimensions if the allowable settlement under the center of the foundation is 25mm. 600 kN Foundation 0.75 m Вхв Soil Hs = 0.3 E, = 20, 600 kN/m² 5.0 m Rock
Q-1) Determine the immediate settlement of the foundation shown in Figure (1). The undrained elastic modulus varies with depth, as shown in the figure, and v₁ = = 0.45. [Answer = 26 mm]. LETETEI 2L = 12 m -8 m -4m +3m+5m 5000 kN Į Layer 1 Layer 2 6 m 2B = 10 m 4 m 4 m 8m Figure (1) 4000 kPa 8000 kPa Eu 10,000 kPa 30,000 kPa
Problem II. The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. b. Determine the change in magnitude of the principal stresses. C. the change in maximum shear stress d. the change in orientation of the principal stress plane resulting from the construction of the foundation.
Foundation Ao Bx L Soil u, = Poisson's ratio E, = = modulus of elasticity H Rock Figure 11.43 11.2 Refer to Figure 11.43. A square rigid foundation measuring 1.8 m x 1.8 m in plan is supported by 8 m (H) of layered soil with the following characteristics: Layer type Thickness (m) E, (kKN/m?) Ya (KN/m?) Loose sand 0-2 20,680 17.6 Medium clay Dense sand 2- 4.5 7580 18.3 19.1 4.5 – 8 58,600 Given that P = 450 kN; D; = 1 m; and u, settlement of the foundation. = 0.3 for all layers, estimate the elastic O Cngagelamirg 2014 ©Cengage Learring 2014
Refer to Figure 5,determine th eaverage stress increase in the clay layer below the center of the foundation due to the net foundation load of 490,500kN (net load). Using Eq.(7.25)
With the same load acting on the same size of foundation, calculate the settlement (in.) that will occur in the clay layer as shown below, using Factor of Safety of 1.5 Please use 2:1 method to find stress increase under a foundation Assume: OCR = 1 EL.+450 FT. Sand Y = 110 pcf EL. +445 FT. GWT: +442 FT. Y = 120 pcf %3D Clay eo = 0.3 Cc = 0.250 Cr = 0.025 EL. +435 FT. ROCK (Picture is not in scale)
refer to the figure below. Determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 50 tons.
The initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and 100 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shear stress, and (c) the change in orientation of the principal stress plane resulting from the construction of the foundation.
Estimate the increase in vertical stress at 0.5 m depth intervals, within the clay layer, below point A (See figure below). The foundation exerts a uniform vertical stress of 120 kPa at ground level. Using these values estimate the settlement due to the clay layer. (Hand in any graphs used) 5m 5m 2m 3m Very Dense Sand 2m 1.5m Clay E=3.5 MPa 2m Bedrock Soil profile A Plan of building 3m Soil profile and plan for Question 4 3m FA
A plan of a foundation 1 m x 2 m is shown in Figure 4-2. a. Estimate the consolidation settlement of the foundation. b. Refer to part a. Given for the clay layer: Ca=0.02. Estimate the total consolidation settlement eight years after the completion of the primary consolidation settlement. (Note: Time for completion of primary consolidation settlement is 1.5 years). 15m 0.5 m 9=170 kN/m²(net stress increase) BXL 1m x 2m Sand Y = 16.5 kN/m Groundwater table Sand 25m Figure 4-2 = You 17.5 kN/m³ Normally consolidated clay y = 16 kN/m³ ea 0.78 E = 6,000 kN/m² C, = 0.32 C₁ = 0.09 A. = 0.5

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