Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.6P
A 2.0 m wide continuous foundation carries a wall load of 350 kN/m in a clayey soil where γ = 19.0 kN/m3, c′ = 5.0 kN/m2, and ф′ = 23°. The foundation depth is 1.5 m. Determine the factor of safety of this foundation using Eq. (6.28).
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Given: A square foundation (4.5m x 4.5m) is founded at
2.4m in a soil with the following properties: y = 17.6
kN/m³ c'= 32.0 kN/m² and q' = 28°
Find: Using a factor of safety of 2.5 against bearing
capacity failure and assuming a constant unit weight of
the soil, determine the safe bearing capacity (q, in kN/m²)
when:
a) The water table is level with the foundation base
b) Percentage reduction in bearing capacity when the water table rises to 0.5m below
G.L.
A 2 m wide continuous foundation is placed at 1 m depth within a 1.5 m thick sand layer that is underlain by a weaker clay layer. The soil properties are as follows: Upper sand layer: unit weight = 18.0 kN/m2, d' = 38° Lower clay layer: unit weight = 19.0 kN/m, undrained shear strength = 25 kN/m2 Determine the maximum wall load that can be allowed on the foundation with FS = 3.
A 2.0 m wide strip foundation is placed in sand at 1.0 m
depth. The properties of the sand are: y = 19.5 kN/m³, c' = 0,
and o' = 34°. Determine the maximum wall load that the
foundation can carry, with a factor of safety of 3.0, using
a. Terzaghi's original bearing capacity equation with his
bearing capacity factors, and
b. Meyerhof's general bearing capacity equation with
shape, depth, and inclination factors from Table 6.3.
6.8
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Chapter 6 Solutions
Principles of Foundation Engineering (MindTap Course List)
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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- A continuous foundation with a width of 1 m is located on a slope made of clay soil. Refer to Figure 5.19 and let Df = 1 m, H = 4 m, b = 2 m, γ = 16.8 kN/m3, c = cu = 68 kN/m2, Φ= 0, and β = 60°.a. Determine the allowable bearing capacity of the foundation. Let FS = 3.b. Plot a graph of the ultimate bearing capacity qu if b is changed from 0 to 6 m.arrow_forward10. A flexible foundation is subjected to a uniformly distributed load of q-500 kN/m². Table 3 could be useful. Determine the increase in vertical stress, in kPa, Aoz at a depth of z=3m under point F. B 4m 3m 6m E 10m Table 10.3 Variation of I, with m and n m 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.1 0.0047 0.0092 0.0270 0.0279 0.2 0.0132 0.0092 0.0179 0.0259 0.0132 0.0259 0.0374 0.0222 0.0242 0.0435 0.0474 0.0629 0.0686 0.0258 0.0504 0.0528 0.0547 0.3 0.0731 0.0766 0.0794 0.4 0.1013 0.5 0.0198 0.0387 0.1202 0.6 0.0222 0.0435 0.7 0.0242 0.0474 0.0947 0.1069 0.1168 0.1247 0.1311 0.1361 0.1365 0.1436 0.1491 0.1537 0.1598 0.0168 0.0198 0.0328 0.0387 0.0474 0.0559 0.0168 0.0328 0.0474 0.0602 0.0711 0.0801 0.0873 0.0931 0.0977 0.0559 0.0711 0.0840 0.0947 0.1034 0.1104 0.1158 0.0629 0.0801 0.0686 0.0873 0.1034 0.8 0.0258 0.0504 0.0731 0.0931 0.1104 0.9 0.0270 0.0528 0.0766 0.0977 0.1158 0.0794 0.1013 0.1202 0.0832 0.1263 1.4 0.1300 1.6 0.0306 0.0599 0.0871 0.1114 0.1324 1.8 0.0309 0.0606…arrow_forwardA strip foundation with dimensions B has to be constructed on sandy soil. The foundation will be located at 1 m below the ground surface. The unit weight and the static angle of friction of the soil are 18 kN/m3 and 39o , respectively. The foundation may occasionally be subjected to a maximum dynamic load of 1800 kN increasing at a moderate rate. (i) Determine the size of the foundation using a safety factor of 3 by assuming the kh and kv values are 0.176 and 0, respectively. (ii) Determine the seismic settlement of the foundation if the design earthquake parameters are V = 0.4 m/sec and A = 0.32.arrow_forward
- A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stressi ncrease at a point P, the coordinates of which are x = 2.5 m, and z = 1.5m, where the x-coordinate is normal to the line load from the central line of the footing. a. 3.05 kPa b. 1.69 kPa c. 4.08 kPa d. 5.12 kPa) e. 2.55 kPaarrow_forwardA 2.0 m wide strip foundation is placed in sand at 1.0 m depth. The properties of the sand are: = 19.5 kn/m3, c’ = 0 and ’ = 34. Determine the maximum wall load that the foundation can carry, with a factor of safety of 3.0arrow_forwardRefer to Figure 5.2. A square foundation measuring 1.5 m x 1.5 m is supported by a saturated clay layer of limited depth underlain by a rock layer. Given that Df = 1 m, H = 0.7 m, cu = 115 kN/m2, and γ = 18.5 kN/m3, estimate the ultimate bearing capacity of the foundation.arrow_forward
- Consider a continuous foundation of width B = 1.4 m on a sand deposit with c' = 0, Φ' = 38° and γ = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 4.31). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination β = 18°. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (4.85)] b. for a reinforced type of loading [Eq. (4.86)]arrow_forwardA continuous foundation having a width of 1.4 m is supported by a saturated clay layer of limited depth underlain by a rock layer. Given that Df = 1 m, H = 0.7 m, cu = 105 kN/m2, and γ = 18 kN/m3, estimate the ultimate bearing capacity of the foundation.arrow_forwardA square foundation of 5 m x 5 m is to be founded at a depth of 3 m in a deep layer of sand of unit weight 24 kN/m3. Determine the ultimate bearing capacity of the foundation if the soil strength parameters are c'=0, o = (i) 25o, (ii) 30oarrow_forward
- A 3 m thick clay layer (cu = 50 kN/m2 and γ = 19.0 kN/m3) is underlain by a weaker clay (cu = 30 kN/m2 and γ = 18.0 kN/m3) to a large depth. A 2.0 m wide square foundation is placed at 1.8 m depth below the ground level. Determine the maximum column load that can be allowed on the foundation with FS = 3.arrow_forwardA sandstone bed with RQD = 70% and y = 26.0 kN/m³ lies beneath 1.5 m of overburden soil. A 2.0 m X 2.0 m square foundation is to be placed on top of the sandstone rock (i.e., at a 1.5 depth below the ground level) to carry a column load. The unit weight of the soil is 18.0 kN/m³. Assuming the rock strength parameters from Problem 7.17,arrow_forwardThe applied load on a shallow square foundation makes an angle of 15° with the vertical. Given: B= 1.83 m, D;= 0.91 m, 7 = 18.08 kN/m³, ' = 25°, and d' = 23.96 kN/m?. Use FS= 4 and determine the gross allowable (vertical component) load. Use Eq. (16.9).arrow_forward
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