Principles of Foundation Engineering
9th Edition
ISBN: 9780357684832
Author: Das
Publisher: Cengage Learning US
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Textbook Question
Chapter 6, Problem 6.2P
A 5.0 ft wide square footing is placed at 3.0 ft depth within the ground where c′ = 200 lb/ft2, ф′ = 25°, and γ = 115.0 lb/ft3. Determine the ultimate bearing capacity of the footing using Terzaghi’s 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?
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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.
A rectangular footing with width (B) = 6 ft and length (L) = 8 ft is subjected
5b)
(P) = 75 k (shown below). The footing is 3 ft thick and flush with the ground surface. Assume x = 0.75 ft
and y = 0.5 ft and solve for the eccentricity in the B direction (eB) and the eccentricity in the L direction
(eL). Is this foundation adequately sized to resist overturning (i.e., is it in full bearing or partial bearing)?
If it is in full bearing, compute the maximum and minimum pressure under the footing.
an eccentric load
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Chapter 6 Solutions
Principles of Foundation Engineering
Ch. 6 - For the following cases, determine the allowable...Ch. 6 - A 5.0 ft wide square footing is placed at 3.0 ft...Ch. 6 - Prob. 6.3PCh. 6 - Redo Problem 6.2 using the general bearing...Ch. 6 - The applied load on a shallow square foundation...Ch. 6 - A 2.0 m wide continuous foundation carries a wall...Ch. 6 - Determine the maximum column load that can be...Ch. 6 - A 2.0 m wide strip foundation is placed in sand at...Ch. 6 - A column foundation (Figure P6.9) is 3 m × 2 m in...Ch. 6 - For the design of a shallow foundation, given the...
Ch. 6 - An eccentrically loaded foundation is shown in...Ch. 6 - Prob. 6.12PCh. 6 - For an eccentrically loaded continuous foundation...Ch. 6 - A 2 m 3 m spread footing placed at a depth of 2 m...Ch. 6 - Prob. 6.15PCh. 6 - A tall cylindrical silo carrying flour is to be...Ch. 6 - A 2.0 m 2.0 m square pad footing will be placed...Ch. 6 - An eccentrically loaded continuous foundation is...Ch. 6 - A square foundation is shown in Figure P6.19. Use...Ch. 6 - The shallow foundation shown in Figure 6.25...Ch. 6 - Consider a continuous foundation of width B = 1.4...
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- Redo 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_forwardRefer 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_forwardQuestion Attachedarrow_forward
- A rectangular footing has dimensions shown and is acted upon by a dead load of 668.00 kN and a live load of 551.00 kN. The column dimension is 282x572 mm where the shorter dimension is parallel to B. The thickness of the footing is 564mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=3.3m and B=5.7m Calculate the ratio of the Ultimate Shear Force to Shear Capacity in one- way shear. Consider critical case only. Answer is 0.6175 (Complete Solution)Aarrow_forwardA circular footing having a diameter of 2.5 m is supported by a soil (dense sand) with the following properties: O = 20° C = 50 kPa Y = 18 kN/m3 • Ysat = 20 kN/m³ %3D %3D The bottom of the footing is 1.5 m below the ground surface. GWT is located at the bottom of the footing. Using Terzaghi's equation, determine the net allowable bearing capacity with factor of safety with respect to shear failure of 3.0. Use Yw= 9.81 kN/m3.arrow_forwardA rectangular footing has dimensions shown and is acted upon by a dead load of 1200 kN and a live load of 1600 kN. The column dimensions is 300x600 where the shorter dimension is parallel to B. The thickness of the footing is 500mm. f'c = 28 MPa and fy = 420 MPa for diameter 20mm bars. A = 2.4m and B = 4.2m Calculate the Following: A.) Critical Ultimate Shear Strength and Shear Force of the footing for beam shear action, kNB.) Critical wide beam nominal shear stress, MPaC.) Ultimate Shear Strength of the footing in punching shear action, kN Please answer it ASAP and correctly for upvotes.arrow_forward
- A 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_forward2. A medium dense sand is proposed to support a square foundation having a width and length of 5 feet as shown below. The bottom of the footing is 2.5 feet below the ground surface. The water table is 4 feet below the bottom of the footing. Using a factor of safety of 3, what is the allowable bearing capacity of the proposed footing? Gs= 2.6 e = 0.5 Ø = 35° 5 ft d = 4 ftarrow_forwardA continuous footing with a B = 7.5ft is constructed with a Df of 3ft in a soil with the following properties: c' = 210 lb/ft? Y = 115 lb/ft³ Ø' = 25° If bedrock exists 6ft below grade use equation 7.2 to determine the ultimate bearing capacity.arrow_forward
- Note: NCSP A 3.5 m square footing is proposed to be used to support a 521 mm x 376 mm RC column loaded with 675 kN dead load and 800 kN live load. The bottom of the footing is 1.9 m below the ground. Assume soil weighs 19 kN/m and the allowable soil bearing pressure is 286 kPa. The thickness of the footing is 567 mm. f' = 21 MPa and f = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m 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: 0.9874What is the ratio of the Demand Shear Force to Capacity in One Way Shear? (Vu/phiVn) Answer: 0.4731arrow_forwardSubject: Principles of Foundation Design (Use NCSP) A rectangular footing is to be used to support a 300x400 (*400mm side is parallel to the long dimension of the footing) column loaded with 420 kN dead load and 540 kN live load. One side of the footing is 4.0m. Use effective soil pressure of 70 kPa. f'c=35 MPa and fy=420 MPa. Use minimum steel ratio for longitudinal bars as 0.0018. •Calculate the required thickness of the footing (mm) based on wide beam shear. db=16mm. Size of footing should be multiples of 10mm (Answer: 300) •Calculate the required thickness of the footing based on two-way shear. db=16mm (Answer: 430) • Calculate the required number of 16mm bars along long direction. . Use the governing thickness based on shear requirements. (Answer: 22)arrow_forwardPrinciple of foundation design Please answer asaparrow_forward
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