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Repeat Problem 11.1 based on limit state design, using the factors given in Table 11.4.
11.1 A continuous foundation is required in a soil where
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Chapter 11 Solutions
Principles of Foundation Engineering, SI Edition
- 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)]arrow_forwardA 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).arrow_forwardProblem.№₂3 - The plan of a mat foundation is shown in Figure. Calculate the soil pressure at points A, B, C, D, E, and F. (Note: All column sections are planned to be 0.5 m 3 0.5 m.) All loads shown are factored loads according to ACI 381-11 (2011). 550 KN 2000 KN 5.25 m 2000 KN 550 kN F *K 0.25 m G H 10 m ! B i 660 kN 2000 KN 10 m 2000 KN 660 kN E 600 KN 1600 KN 5.25 m 10 m 1600 KN 470 kN C D *K 0.25 m 9 m 9 m 9 m 0.25 m 0.25 marrow_forward
- QUESTION 1 1. a) A 7.5 ft wide rough continuous foundation is placed in the ground at 3.0 ft depth. Bedrock is 3 ft depth below the bottom of the foundation. Soil properties: c' = 210 lb/ft², = 25%, y = 115.0 lb/ft³ What is the ultimate bearing capacity of the foundation? b) What is ultimate bearing capacity assuming there is no bedrock present for at least 12.0 ft below the foundation?arrow_forward2. A medium dense sand is proposed to support a square foundation having a width and length of 5 feet as shown below. The bottom of the footing is 2.5 feet below the ground surface. The water table is 4 feet below the bottom of the footing. Using a factor of safety of 3, what is the allowable bearing capacity of the proposed footing? Gs= 2.6 e = 0.5 Ø = 35° 5 ft d = 4 ftarrow_forwardA strip footing is to be designed to support a dead load of 500 kN/m and an imposed load of 300 kN/m at a depth of 0.7 m in a gravelly sand. Characteristic values of the shear strength parameters are c' = 0 and ϕ' =40˚. (a) Determine the required width of the footing if a factor of safety of 3.0 and assuming that the water table may rise to foundation level. (b) Would a foundation of that width satisfy the bearing resistance limit state? The unit weight of the sand above the water table is 17 kN/m3 and below the water table the saturated unit weight is 20 kN/m3.arrow_forward
- A square shallow foundation (B × B) is planned to be constructed on a normality consolidated (NC) clay soil as shown in the below figure. The maximum acceptable settlement for the foundation is equal to 2.0 inches (5 cm), and the safety factor against bearing capacity is FS = 4. Determine the size of foundation. (Note: To simplify the calculations, ignore both the elastic settlement and secondary compression settlement. Also consider 4o'ave = 40'm) Q = 500 kN Ysat = 19.24 kN/m³ en = 0.8 C. = 0.25 p'= 0 c'= 25 kPa 2 m B ×B FS again Bearing Capacity = 4 Acceptable settlement = 2.0 inches 10 marrow_forwardA spread-footed foundation has top area dimensions of 3 m by 1.5 m. The vertical depth (h) of the foundation is 0.70 m. Only the width at the bottom is longer than the top, i.e. the 3-m length is constant. The angle of spread of footing (θ) is 25°. Calculate the volume of this foundation in cubic meters.arrow_forward(a) Design a Shallow Foundation to support a dead load of 500 kN/m and an imposed load of 300 kN/m in a silty sand. Characteristic values of shear strength parameters are c|= 10 kN/m2 and ø| = 40°. The saturated unit weight of the soil is 20 kN/m3 and the unit weight above the water table is 17 kN/m3 . (a) determine the required size, shape and depth of the footing if a lumped factor of safety of 3.0 against shear failure is specified and assuming that the water table (i) is well below the foundation level (ii) may rise to foundation level (iii) may rise to the surface (b) determine if a foundation of that size, shape and depth would satisfy the bearing resistance limit state?arrow_forward
- 1. For the following cases, determine the allowable gross vertical load bearing capacity of the foundation. Use Terzaghi's equation. Part В D; Foundation Type 3 ft 3 ft 28° 400 psf 110 pcf Continuous a b 1.5 m 1.2 m 35° 17.8 kN/m³ Continuous 3 m 30° 30° 16.5 kN/m³ Square 2. A square foundation has to carry gross allowable load of 1805 kN (FS=3). Given: D; = 1.5 m, y=15.9 kN/m³, 0=34°, and c = 0. Use Terzaghi's equation to determine the size of the foundation (B).arrow_forwardA foundation is 3 mx 2 m in plan. Given: Df= 1.5 m, o'= 25°, c'= 70 kN/m². With General Bearing Capacity equation and FS = 3 assmuming general shear failure in soil, determine the net allowable load that the footing can carry. a) NOTE: Due to drought, groundwater level has been lowered down to a depth of 1.5m from the ground surface. b) Net allowable load that the footing can carry using general bearing capacity equation and F.S.=3 assuming general shear failure in soil. c) Ultimate bearing capacity (qu) using prakash and saran theory with eB=0.3m and eL=0.5m. y = 17 kN/m 1 m 1.5 m Groundwater level 3 m x 2 m Yut = 19.5 kN/marrow_forwardA footing with 2x5 m is founded at a depth of 1 m in a stiff clay of saturated unit weight 19 kN/m³, the water table being at ground level. Determine the ultimate, unfactored, short- term bearing capacity of the foundation when S₁ = 105 kPa and Pu = 0. Use the equation for bearing capacity in clay, near the end of the lecture notes from March 17tharrow_forward
- Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
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