EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
9th Edition
ISBN: 8220103611718
Author: SOBHAN
Publisher: CENGAGE L
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Chapter 16, Problem 16.13P
A square footing (B × B) must carry a gross allowable load of 1160 kN. The base of the footing is to be located at a depth of 2 m below the ground surface. If the required factor of safety is 4.5, determine the size of the footing. Use Terzaghi’s bearing capacity factors and assume general shear failure of soil. Given: γ = 17 kN/m3, c′ = 48 kN/m2,
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A 1.5m diameter footing is to be constructed 1.22m below the ground surface. The subsoil consists of a uniform deposit of dense soil having angle of internal friction=25deg, unconfined compressive strength=96KPa, unit wt of soil= 20.12kPa.
a. Compute the gross allowable bearing capacity using terzaghi's equation with factor of safety of 3.Nc=24.1, Nq=13.1, Ny=9.1.
b. Compute the ultimate bearing capacity using terzaghi's equation.Nc=24.1, Nq=13.1, Ny=9.1.
c. Compute the total allowable load including footing,column,weight of soil surcharge that the footing can carry using terzaghi's equation with factor of safety of 3. Nc=24.1, Nq=13.1, Ny=9.1.
A square footing which carries an axial load of 13000 kg has its bottom resting on a ground water table at a depth of 2.5 m from the ground surface. Nc = 35, Nq = 22, Nγ = 19. Take PDRY = 1910 kg/m3 and PSAT = 1600 kg/m3, c = 1800 kg/m2.a. Compute the required width of the footing using a factor of safety of 2.b. Compute the ultimate bearing capacity of the soil.c. Compute the net factor of safety.
Determine the allowable bearing capacity of a circular footing (diameter = 1.25 m) by the Terzaghi equation assuming local shear failure and a
factor of safety of 2.5. A soil has a friction angle of 30o and cohesion of 20 kPa. The water table is located at the base of foundation. The unit
weight is 20 kN/m3 below water table (WT) and 16 kN/m3 above WT. The Unit weight of water is 10 kN/m3. The depth of footing is 1.50 m.
Select one:
on
O A 282.0
B. 382.0
C 431.0
O D. 631.0
O E 582.0
Chapter 16 Solutions
EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
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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- 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 square footing having a dimension of 2.5m x 2.5m is supported by a cohesionless soil with the following properties: ϕ = 32∘ γ = 18 kN/m3 γsat = 20 kN/m3 The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and γw = 9.81 kN/m3. Apply the general bearing capacity equation. GWT is at the bottom of the footing and load is applied at an eccentricity of 250mm along one side. 1. Determine the effective short dimension, B' (in m). 2. Determine the effective long dimension, L' (in m). 3. Determine the ultimate bearing capacity (in kPa). 4. Determine the magnitude of the gross allowable load applied eccentrically (in kN).arrow_forwardA 1.2 m square, 0.4 m deep spread footing is underlain by a soil with the following properties:g = 19.2 kN/m3 , c′ = 5 kPa, and f′ = 30°. The groundwater table is at a great depth. a. Compute the nominal unit bearing capacity using Terzaghi’s method.b. Compute the nominal unit bearing capacity using Vesic ́’s method.arrow_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_forwardA rectangular footing (base = 1.76 m., length = 5.83 m.) has its bottom 3.06 m. below the ground surface. Unit weight of soil is 19.07 kn/m3, unconfined compressive strength = 156 kPa. Use angle of internal friction = 10° (Nc = 9, Nq = 2.5, = 1.2). Compute the allowable load that the footing could carry. Use FS = 2.8. Round off to the nearest whole number.arrow_forward5A 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 Y₁ = 16 kN/m³, N = 75, Assume general shear failure] 1 (a) 1876 kN/m² (b) 1860 kN/m² (d) 1792 kN/m² (c) 1788 kN/m²arrow_forward
- A strip footing is to be designed to carry a load of 800 kN/m at the depth of 7m in a gravelly sand . the appropriate shear strenght parameter are c =0 and φ=40o. Determine the width of the footing if a factor of safety 3 against shear failure is specified and assuming that that the water table may raise to foundation level.Above the water table the unit weight of the sand is 17 kn/m3 and below the water table the saturated unit weight is 20 kN/m3arrow_forward). 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 = 3marrow_forwardA footing 2.25 x 2.25 m is located at a depth of 1.5 m in a sand, the shear strength parameters to be used in design being c' = 0 and ϕ' = 38˚. Determine the ultimate bearing capacity: (a) if the water table is well below foundation level and (b) if the water table is at the surface. The unit weight of the sand above the water table is 18 kN/m^3; the saturated unit weight is 20 kN/m^3. Note: Use the equations to solve for Nc, Nq and Nγ.arrow_forward
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