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 16.15P
Refer to Problem 16.13. Design the size of the footing using the modified general ultimate bearing capacity Eq. (16.31).
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, ϕ′ = 31°.
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A 3.4 m square footing is proposed to be used to support a 353 mm x 630
mm RC column loaded with 634 kN dead load and 853 kN live load. The
bottom of the footing is 2.3 m below the ground. Assume soil weighs 19
kN/m³ and the allowable soil bearing pressure is 314 kPa. The thickness of
the footing is 431 mm. f = 21 MPa and f = 420 MPa. It is to be reinforced
with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete.
Note: For two-way shear, use an effective depth measured from the top of
the footing until the top of the bottom-most bar (d;)
What is the ratio of the Demand Shear Force and the Capacity in Two Way
Shear? (Vu/phiVn)
Answer is 1.5881 (Complete Solution)
A 3.4 m square footing is proposed to be used to support a 353 mm x 630 mm RC column loaded with 634 kN dead load and 853 kN live load. The bottom of the footing is 2.3 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 314 kPa. The thickness of the footing is 431 mm. f'c = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m3 as the unit weight of concrete.
Note: For two-way shear, use an effective depth measured from the top of the footing until the top of the bottom-most bar (d3)
What is the ratio of the Demand Shear Force and the Capacity in Two Way Shear? (Vu/phiVn)
1) A footing whose one side spans 4.2m carries a 520 kN dead load and 640kN live load from a reinforced
concrete column. The column measures 500mm parallel to the long side of the foundation, and 800mm on
the other side. Assume effective soil bearing capacity of 80kPa, concrete compressive strength of 21 MPa,
and steel yield strength of 280 MPa.
Determine the following:
• Dimensions of the footing (use 100mm increments)
• The thickness of the footing (use 10mm increments)
• Number of 20mm reinforcements along each dimension
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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- (5) There is a strip footing with a width of 2 m and a buried depth of 1.5 m. The foundation soil is silt with a unit weight of 19 kN/m', a saturated unit weight of 20 kN/m², cohesion of 10 kPa, and an internal friction angle of 20°. The groundwater level is I m below the ground surface. Please determine the ultimate bearing capacity of the foundation. (arrow_forwardA 3.3 m square footing is proposed to be used to support a 435 mm x 435 mm RC column loaded with 585 kN dead load and 643 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 290 kPa. The thickness of the footing is 459 mm. f'. = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m3 as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar (d1) Calculate the number of bars required in one direction. Answer in multiples of 1arrow_forwardA 4.7 m square footing is proposed to be used to support a 635 mm x 635 mm RC column loaded with 665 kN dead load and 843 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 331 kPa. The thickness of the footing is 462 mm. f'c = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar Calculate the number of bars required in one direction. Provisions are given below for the minimum area of main reinforcements Reinforcement Type fy. MPa As.min. mm² Deformed Bars 420 MPa Reinforcement Greater of: 0.0018×420 f₂ 0.0014A -A₂arrow_forward
- A 3.2 m square footing is proposed to be used to support a 373 mm x 605 mm RC column loaded with 637 kN dead load and 856 kN live load. The bottom of the footing is 1.7 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 343 kPa. The thickness of the footing is 464 mm. fc = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete. Note: For two-way shear, use an effective depth measured from the top of the footing until the top of the bottom-most bar (d3) What is the ratio of the Demand Shear Force and the Capacity in Two Way Shear? (Vu/phiVn) Answer in 4 decimal places (1.6125, 1.5140, 0.8461, etc.) You Answered Correct Answer 1.3809 margin of error +/- 1%arrow_forwardA 4.0 m square footing is proposed to be used to support a 766 mm x 766 mm RC column loaded with 550 kN dead load and 590 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m³ and the allowable soil bearing pressure is 307 kPa. The thickness of the footing is 563 mm. f'. = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m3 as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar (d1) Calculate the number of bars required in one direction. You Answered Correct Answer 13arrow_forwardA 2.0 m 2.0 m square pad footing will be placed in a normally consolidated clay soil to carry a column load Q. The depth of the footing is 1.0 m. The soil parameters are: c = 0, = 26, = 19 kN/m3, and cu = 60 kN/m2. Determine the maximum possible value for Q, considering short-term and long-term stability of the footing.arrow_forward
- Redo Problem 16.13 with the following data: gross allowable load = 184,000 lb, = 121 lb/ft3, c = 0, =26, Df = 6.5 ft., and required factor of safety = 2.5. 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 Terzaghis bearing capacity factors and assume general shear failure of soil. Given: = 17 kN/m3, c = 48 kN/m2, =31.arrow_forwardA 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 Terzaghis bearing capacity factors and assume general shear failure of soil. Given: = 17 kN/m3, c = 48 kN/m2, =31.arrow_forwardRedo Problem 16.2 using the modified general ultimate bearing capacity Eq. (16.31). 16.1 A continuous footing is shown in Figure 16.17. Using Terzaghis bearing capacity factors, determine the gross allowable load per unit area (qall) that the footing can carry. Assume general shear failure. Given: = 19 kN/m3, c = 31kN/m2, =28, Df = 1.5 m, B = 2 m, and factor of safety = 3.5. Figure 16.17 6.2 Refer to Problem 16.1. If a square footing with dimension 2 m 2 m is used instead of the wall footing, what would be the allowable bearing capacity?arrow_forward
- Refer to Problem 16.1. If a square footing with dimension 2 m 2 m is used instead of the wall footing, what would be the allowable bearing capacity? 16.1 A continuous footing is shown in Figure 16.17. Using Terzaghis bearing capacity factors, determine the gross allowable load per unit area (qall) that the footing can carry. Assume general shear failure. Given: = 19 kN/m3, c = 31kN/m2, =28, Df = 1.5 m, B = 2 m, and factor of safety = 3.5. Figure 16.17arrow_forwardRedo Problem 6.2 using the general bearing capacity equation [Eq. (6.28)]. A 5.0 ft wide square footing is placed at 3.0 ft depth within the ground where c = 200 lb/ft2, = 25, and = 115.0 lb/ft3. Determine the ultimate bearing capacity of the footing using Terzaghis bearing capacity equation and the bearing capacity factors from Table 6.1. What is the maximum column load that can be allowed with a factor of safety of 3.0?arrow_forwardRedo 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 Terzaghis bearing capacity factors, determine the gross allowable load per unit area (qall) that the footing can carry. Assume general shear failure. Given: = 19 kN/m3, c = 31kN/m2, =28, Df = 1.5 m, B = 2 m, and factor of safety = 3.5. Figure 16.17arrow_forward
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