Concept explainers
Redo Problem 16.13 with the following data: gross allowable load = 184,000 lb, γ = 121 lb/ft3, c′ = 0,
16.13 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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Chapter 16 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
- A 2 m 3 m spread footing placed at a depth of 2 m carries a vertical load of 3000 kN and a moment of 300 kN m, as shown in Figure P6.14. Determine the factor of safety using Meyerhofs effective area method. Figure P6.14arrow_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) A square footing placed at a depth of 1 m is required to carry a load of 1000 kN. Find the required size of footing given the following data. C = 10 kPa, ϕ = 38o, γ = 19 kN/m3, Nc = 61.35, Nq = 48.93, Nγ= 74.03 and F = 3.Assume water table is at the base of footing.arrow_forward
- What is the net ultimate bearing capacity of a footing 2.5 mx 2.5 m built on a sand of unit weight 16 kN/m³ and having an angle of friction of 25°. The depth of the footing is 1.5 m below the ground surface. No = 5.6 and N₁ = 3.2.arrow_forwardA square footing shown has the following details: Unit weight of soil = 17.66 kN/m3 Saturated unit weight of soil = 21.32 kN/m³ cohesion = 28.20 kPa %3D friction angle = 30 degrees %3D B = 1.61 meter Df = 1.60 meter P 1,559.97 kN e/B = 0.14 --> one way eccentricity Calculate for the gross factor of safety. Use Meyerhof General Bearing Capacity Formula. D. BXB Water tablearrow_forwardA continuous footing has the following properties. Using Terzaghi’s bearing capacityfactors, determine the gross allowable load per unit area (qall) that the footing can carry.Assume general shear failure. 3544.12 psfGiven: ∂sat = 115 pcf Df = 2ftc =400 psf B = 2.5 ftφ= 250 FS= 4.0 Solve if water table is located (a) 2 ft , (b) 3 ft below ground surface. ANSWERS 3407.55, 3472.6arrow_forward
- A 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 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_forward1. A circular footing 3 m in diameter is shown below. [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, = 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/m³ C = 80 kPa + = 25° 1.1 m D: = 1.8 m Water table Tse = 19.2 kN/m? Diameter = 3 marrow_forward
- A strip footing (8 m wide) is designed for a total settlement of 40 mm. The safe bearing capacity (shear) was 150KN/m? and safe allowable soil pressure was 100 kN/m?. Due to importance of the structure, now the footing is to be redesigned for total settlement of 25 mm. The new width of the footing will bearrow_forwardA square footing of 4 m side is placed at 1 m depth in a sand deposit. The dry unit weight (y) of sand is 15 kN/m³. This footing has an ultimate bearing capacity of 600 kPa. Consider the depth factors: d = d, = 1.0 and the bearing capacity %3D %3D factor : N, = 18.75. This footing is %3D placed at a depth of 2, in the same soil deposit. For a factor of safety of 3.0 as per Terzaghi's theory, the safe bearing capacity (in kPa) of this footing would bearrow_forwardThe foundation design for the constmction of a telecommunication mast is to support a concentric load of 800kN and to be inclined at 80° to the horizontal, a I .5mxl .5m footing is to be placed at 2.0m below ground level as shown in Figure 2. The soil properties are; C=70kN/m², Y=18KN/m³ , 4–30° Assume the ground water table to be deep a). Determine the expected foundation pressure at the base of the footing due to the application of the load. b). Using the Meyerhof's bearing capacity equation, determine the ultimate bearing capacity of the underlying soil. c). Determine the factor of safety of the design, and comment on the adequacy of the design in terms of shear failure, give recommendations should the design is not safe against shear failure Q=800kN 80 2.0m 1.5m Figure 2arrow_forward
- Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
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