Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 20, Problem 20.4P
Repeat Problem 20.2 based on LRFD using the following factors.
Load factor for dead load = 1.25
Load factor for live load = 1.75
Strength reduction factor on the ultimate bearing capacity = 0.50
20.2 A continuous foundation is required in a soil where c′ = 10 kN/m2,
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A square foundation is placed at a depth of 1.5 m within a sandy clay where c'=14k/m2 , phi'=23 and y=18 kN/m3 to carry a column load of 950 kN. Determine the width of the foundation that can be allowed on the foundation with a factor of safety of 3 and use the width value you have found to calculate the allowable bearing capacity(assume general shear failure and use gross values for the Terzaghi Bearing Capacity formulation for the given foundation type). If you don't write down the required equation to find the width of the foundation you cannot get credit from this question. Use the table given to you in the figure.
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- Question attachedarrow_forwardA column foundation is 3 m × 2 m in plan. Given: Df = 1.5 m, p' = 30°, c' = 80 kN/m². Using the general bearing capacity equation (CFEM - see class slides from March 17 - similar to Example 1 and 2 but with an added capacity term related to cohesion) and = 0.5, determine the factored bearing capacity of the foundation (i.e. – use Þ). Use Yw = 9.81 kN/m³. For simplicity, read the values of Nc, N₁, and Ny directly from the table on page 26 of the lecture slides - use the highlighted columns. Also, determine the maximum factored load for the column. 1.5 m 1 m 3m x 2m y = 17 kN/m³ Groundwater level Ysat 19.5 kN/m³ =arrow_forwardA square column foundation has to carry a gross allowable load of 1800 kN (FS=3). Determine the size of the foundation (B). The water table locates at the base of the foundation as shown in figure 1. Required modification of the bearing capacity equation has to be conducted due to the location of the GWT. Assume any necessary data if needarrow_forward
- Problem #3 lơ lag An eccentrically loaded continuous foundation is shown in (Eccentricity in one direction only) e = 0.15 m I Qall y = 17 kN/m³ c' = 0 4'= 36° the figure. Determine the maximum allowable load (Qall) 1.0 m that the foundation can carry. Use Meyerhof's effective area method and FS of 4. B = 2 m Solution: Centerlinearrow_forwardDetermine the maximum column load that can be applied on a 1.5 m X 1.5 m square foundation placed at a depth of 1.0 m within a soil, where y = 19.0 kN/m³, c' = 10 kN/m², and 4'= 24°. Allow a factor of safety of 3.0. 6.7arrow_forwardProblem 6: A 1.5m square foundation was constructed at a depth of lm. The y =19.0 kN/m², c' = 10 kN/m² and o' = 24° deg and a FOS of 3.0. Find the maximum column load that can be applied.arrow_forward
- A column foundation is 3 m × 2 m in plan. Given: Dƒ = 1.5 m, þ' = 30°, c′ = 80 kN/m². Using the general bearing capacity equation (CFEM see class slides from March 17 similar to Example 1 and 2 but with an added capacity term related to cohesion) and 0.5, determine the factored bearing capacity of the foundation (i.e. – use Þ). Use Yw = 9.81 kN/m³. For simplicity, read the values of Nc, Ną, and Ny directly from the table on page 26 of the lecture slides use the highlighted columns. Also, determine the maximum factored load for the column. - 1.5 m ↑ 1 m 3m x 2m - y = 17 kN/m³ Groundwater level Ysat = 19.5 kN/m³ =arrow_forwardA 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: y = 19.5 kN/m³, c' = 0, and o' = 34°. Determine the maximum wall load that the foundation can carry, with a factor of safety of 3.0, using a. Terzaghi's original bearing capacity equation with his bearing capacity factors, and b. Meyerhof's general bearing capacity equation with shape, depth, and inclination factors from Table 6.3. 6.8 %3Darrow_forwardFor the design of an eccentrically loaded shallow foundation, given the following: Y = 19 kN/m³ Ysat = 20 kN/m³ p' = 30° C' = 8 kN/m² Water Table at 0.5 m depth from GL Soil: 3 Foundation: Size = 1.5 m * 1.5 m Df = 1 m from GL e/B = 0.10 (one way eccentricity) Estimate the ultimate load per unit length of the foundation. using Meyerhof's methodarrow_forward
- Given: Distance from the top of foundation to the lateral force, h = 2 m Footing dimension, B1 = 3 Concrete density, yc = 24 kN/m m, B2 = 3 m Soil density, ys = 17 kN/m !! Column dimension, c1= 500 Service loads, mm, Axial load, P = 1200 kN c2 500mm Lateral load, H = 250 kN Footing thickness, t 500 1. Evaluate the maximum soil pressure, in kPa Evaluate the factor of safety against overturning, FSo, 3. Solve for the maximum lateral force H that can be mm 2. Height of soil, z - 1.5 m applied to the column without causing uplift, in kN. Www C2 P.arrow_forwardA 30*40 ft mat foundation is to be placed at 9ft depth in a saturated clay where cu=1200 lb/ft2 and phi=0.find the net ultimate bearing capacityarrow_forwardConsider 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_forward
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