A mat foundation on saturated clay has plan view dimensions of 20 m x 30 m. Given that the gross allowable load is 60 MN, undrained shear strength of the clay is 60 kPa, and its unit weight is 18 kN/m3 find the depth of the fully compensated foundation. What depth of the mat foundation corresponds to the net factor of safety of 5? What is the gross factor of safety for this depth?

A mat foundation on saturated clay has plan view dimensions of 20 m x 30 m. Given that the gross allowable load is 60 MN, undrained shear strength of the clay is 60 kPa, and its unit weight is 18 kN/m3 find the depth of the fully compensated foundation. What depth of the mat foundation corresponds to the net factor of safety of 5? What is the gross factor of safety for this depth?

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter8: Mat Foundations

Section: Chapter Questions

Problem 8.4P

See similar textbooks

Similar questions

A 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).
A strip Foundation ( a long foundation in which the length is much longer than the width) of width 1m is used to transmit a load of 40 KN/ m from a block wall to the soil. Determine the increase in total vertical stress at a depth of 1m under the centre and at the edge of the foundation.
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 square footing foundation, 3 m by 3 m, and positioned on the ground surface of a soil deposit, supports a column load of 1,350 kN. Determine the vertical stress resulting from the foundation loading at a depth 3 m below the base of the footing for locations beneath the center and beneath the edge, assuming:(a) Boussinesq conditions apply.(b) Westergaard conditions apply.
A square foundation with dimensions 1m × 1m has to be constructed on a dense sand. The unit weight and the static angle of friction of the soil can be assigned representative values of 19.8 kN/m3 and 36 degrees, respectively. The foundation may occasionally be subjected to a maximum dynamic load of 600 kN increasing at a moderate rate. Determine the required minimum depth (Df) of the shallow foundation using a safety factor of 3.
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.
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.
A foundation measuring 1.2 m x 2.4 m in plan is constructed in a saturated clay. Given: depth of embedment of the foundation = 2 m, unit weight of soil = 18 kN/m3, and undrained cohesion of clay = 74 kN/m2. Estimate the ultimate uplift capacity of the foundation.
For an eccentrically loaded continuous foundation on sand, given B = 1.8 m, Df = 0.9 m, e/B = 0.12 (one-way eccentricity), γ = 16 kN/m3, and Φ' = 35°. Using the reduction factor method [Eq. (4.60)], estimate the ultimate load per unit length of the foundation.
A 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 kN/m2 and =23. The foundation depth is 1.5 m. Determine the factor of safety of this foundation.
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)]
A square column foundation has to carry a gross allowable load of 1805 kN (FS = 3). Given: Df = 1.5 m, =15.9 kN/m3, = 34, and c = 0. Use Terzaghis equation to determine the size of the foundation (B). Assume general shear failure.