Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 16, Problem 16.5P
Redo Problem 16.1 using the modified general ultimate bearing capacity Eq. (16.31).
16.1 A continuous footing is shown in Figure 16.17. Using Terzaghi’s bearing capacity factors, determine the gross allowable load per unit area (qall) that the footing can carry. Assume general shear failure. Given: γ = 19 kN/m3, c′ = 31kN/m2,
Figure 16.17
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). A circular footing 3 m in diameter is shown below.
6. [Soil Bearing Capacity] (*
Assume the general shear failure and use a factor of safety 2.8. Determine the follow
N. = 25. 13 , Nq = 12.72, N, = 8.34
a. The gross allowable bearing capacity.
b. Net Allowable bearing capacity
c. The safe load that the footing can carry.
Ground surface
Y= 18.5 kN/m?
C = 80 kPa
= 25°
1.1 m
D,- 1.8 m
Water table
Ye = 19.2 kN/m?
Diameter =
3m
2. A spread footing of 1.2 x 1.8 m (B = 1.2 m, L = 1.8 m) is loaded with a resultant
force at its center, inclined at 20° to the vertical in the plane perpendicular to the
footing length. Calculate the bearing capacity of this footing in MN.
Use Prandtl/Reissner/Hansen bearing capacity factors.
20° P
Y = 16.0 kN/m'
c' = 0
d' = 32°
D 1.5 m
1.20 m
y = 19.0 kN/m
Y = 20.0 kN/m'
c' = 0 kPa
d' = 340
1.00 m
2. A circular footing having a diameter of 2m has its
bottom at a depth of 2.5m from the ground surface.
Given the following properties:
= 17KN/m3, c = 25kPa, ø = 30degrees. Use the
Y
approximate formulas for the determination of the
bearing capacity factors.
a.Assuming local shear failure, find the gross bearing
сараcity.
b.Determine the gross allowable load using a factor of
safety of 2 assuming general shear failure.
c.Find the width of the strip footing with an equivalent
gross allowable load.
Chapter 16 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 16 - A continuous footing is shown in Figure 16.17....Ch. 16 - Refer to Problem 16.1. If a square footing with...Ch. 16 - Redo Problem 16.1 with the following: = 115...Ch. 16 - Redo Problem 16.1 with the following: = 16.5...Ch. 16 - Redo Problem 16.1 using the modified general...Ch. 16 - Redo Problem 16.2 using the modified general...Ch. 16 - Redo Problem 16.3 using the modified general...Ch. 16 - Redo Problem 16.4 using the modified general...Ch. 16 - Prob. 16.9PCh. 16 - If the water table in Problem 16.9 drops down to...
Ch. 16 - Prob. 16.11PCh. 16 - A square footing is subjected to an inclined load...Ch. 16 - A square footing (B B) must carry a gross...Ch. 16 - Redo Problem 16.13 with the following data: gross...Ch. 16 - Refer to Problem 16.13. Design the size of the...Ch. 16 - Prob. 16.16PCh. 16 - Prob. 16.17PCh. 16 - Refer to the footing in Problem 16.16. Determine...Ch. 16 - Figure 16.21 shows a continuous foundation with a...Ch. 16 - The following table shows the boring log at a site...
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- 7. [Soil Bearing Capacity] ( a gross load of 700 kN. Using a factor of safety 3, determine the required value of B. Assume general shear failure. N. = 63.53,Nq = 47.16, N, = 54.36 A square footing is shown below. The footing will carry Q = 700 kN Y = 17.4 kN/m $ = 36° C = 0 1.2 m Barrow_forwardFor general c-o soil, cohesion c is 50 kPa, the total unit weight y, is 20 kN/m³ and the bearing capacity factors are N= 8 and N. = 2. Using Terzaghi's formula. Calculate the net ultimate bearing capacity for a strip footing of width B=2m at depth z = 1 %3D 3 and N. = b, %3D %3D m. Considering shear failure only, estimate the safe total load on a footing 10m long by 2m wide strip footing using a factor of safety of 3.arrow_forwardA footing 2.50 m x 2.50 m is located at a depth of 1.5 m in sand. The shear strength parameters to be used in design are c' = 0 and o' = 38°. What is the net ultimate bearing capacity of footing if the water table is at 3 m below foundation level? The unit weight of sand is 18 kN/m3 and FOS = 3 For O' = 38°, N, = 67 and Ng = 49arrow_forward
- [Soil Bearing Capacity] ( a gross load of 700 kN. Using a factor of safety 3, determine the required value of B. Assume general shear failure. N. = 63. 53,Nq = 47.16, Ny = 54.36 ). A square footing is shown below. The footing will carry Q = 700 kN Y = 17.4 kN/m $ = 36° C = 0 1.2 marrow_forward7. [Soil Bearing Capacity] a gross load of 700 kN. Using a factor of safety 3, determine the required value of B. Assume general shear failure. N. = 63. 53 , Ng = 47.16, N, = 54.36 »). A square footing is shown below. The footing will carry %3D Q = 700 kN y = 17.4 kN/m 0 = 36° C = 0 1.2 m Barrow_forward2. A continuous footing is shown in the figure. Use the Terzaghi's bearing capacity equation with the given values: y = 155 pcf, c = 615 psf, p = 28°, Df= 1.8 ft, B = 2.3 ft, and F.S. = 3 qu = CNc + yDiNg + 0.50yBNy a. Determine the gross allowable load per unit area that the footing can carry, in kN/m². b. Determine the net allowable bearing capacity with bearing capacity with a factor of safety of 3, in psf then covert it to kPa. Determine the gross allowable bearing capacity with a factor of safety of 3 with respect to shear failure, in kPa. C.arrow_forward
- 6. [Soil Bearing Capacity] ( Assume the general shear failure and use a factor of safety 2.8. Determine the follow N. = 25.13 , N, = 12.72, N,y = 8.34 a. The gross allowable bearing capacity. b. Net Allowable bearing capacity c. The safe load that the footing can carry. ). A circular footing 3 m in diameter is shown below. %3D Ground surface Y = 18.5 kN/m² C = 80 kPa 0 = 25° 1.1 m Dr = 1.8 m Water table Tse = 19.2 kN/m? Diameter = 3 marrow_forwardA strip footing was constructed on a pure sand which is 1.5 m wide with its base at a depth of 1 m. Using Terzaghi's method, the ultimate bearing capacity of strip footing will be [Take Y = 16 kN/m³, N., = 75, Assume general shear failure] Ya Yarrow_forward1. A continuous footing is shown in Figure 16.19. Using Terzaghi's bearing capacity factors, determine the gross allowable load per unit area (4an) that the footing can carry. Assume general shear failure. Given: y = 115 lb/ft, c' = 600 lb/ft', d' = 25°, D, = 3.5 ft, B = 4 ft, and factor of safety = 3. qall Unit weight of soil = y Figure 16.19arrow_forward
- Problem 5 A strip footing shown has an inclined load acting at an eccentricity shown. Cohesion = 18 kPa, Unit weight of Soil = 15.82 kN/m³, Angle of internal friction = 28 degrees, and Depth of foundation = 1.2m. Calculate the following A) Ultimate Bearing Capacity per meter length of the footing B) Ultimate Load per meter length of the footing 0.15 m Quei) 20° -1.5 m-arrow_forwardA 1.2 m. wide wall footing was constructed on the surface of a silty sand soil. If the bottom of the footing is embedded to a depth of 0.75 m. from the ground surface, determine the percent increse of the bearing capacity. Unit weight of silty sand soil = 18.88 kN/m³ angle of friction 0 = 30° and is cohesionless. Bearing capacity factors: Nc = 37.16 Ng = 22.46 Ny = 19.13 wall footing or strip footing 1.2 m Ans. 146.76%arrow_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
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