Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Textbook Question
Chapter 16, Problem 16.3P
Redo Problem 16.1 with the following: γ = 115 lb/ft3, c′ = 1100 lb/ft2,
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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2. 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.
1. 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 m
A square footing is shown in Figure below. Use Factor of Safety = 3 and Terzaghi bearing capacity equation. Determine the size of the footing if local shear failure is assumed
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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- 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.arrow_forwardcarrow_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_forward
- 3. A square footing that carries an axial load of 150000kg has its bottom resting on a ground water table at a depth of 2.5m from the ground surface. Take PDRY = 1860kg/m3 and PSAT = 1950kg/m3, c = 1600kg/m2, ø = 30degrees. Use the approximate formulas for the determination of the bearing capacity factors. 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. d.Compute the net soil pressure.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_forwardA square footing shown has the following details: Unit weight of soil = 15.28 kN/m3 Saturated unit weight of soil = 19.92 kN/m3 cohesion = 21.44 kPa %3D friction angle = 24 degrees %3D B = 2 meter Df = 2.45 meter P = 861 kN e/B = 0.12 --> one way eccentricity Calculate for the net allowable bearing capacity using FOS = 2.8. Use Meyerhof General Bearing Capacity Formula. D, B B Water tablearrow_forward
- 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.arrow_forwardFor the rectangular footing (3m×4m) shown in figure. Calculate the factor of safety against general bearing capacity and determine whether design good or not. If,e= 0.35m and q max= 400 Kn/m^2.arrow_forwardAnswer correctlyarrow_forward
- Soilarrow_forwardA rectangular footing has a dimensions shown and is acted upon by a dead load of 722 kN and a live load of 620 kN. The column dimension is 326 x 662 mm where he shorter dimension is parallel to B The thickness of the footing is 408mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=3.1m and B=5.1marrow_forwardA rectangular footing has dimensions shown and is acted upon by a dead load of 653 KN and a live load of 647 kN. The column dimension is 269x677 mm where the shorter dimension is parallel to B. The thickness of the footing is 442mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=2.9m and B=4.8m Calculate the ratio of the Ultimate Shear Force to Shear Capacity in one-way shear. Consider critical case only.arrow_forward
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