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 7, Problem 7.6P
To determine
Find the maximum wall load allowed by the foundation, if the factor of safety is 3.
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A sandstone bed with RQD=70% and γ=26.0 kN/m3 lies beneath 1.5m of overburden soil. A 2.0m x 2.0m square foundation is to be placed on top of the sandstone rock (i.e., at a 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 has quc=50 MN/m2 and ∅=35°, determine the maximum load that can be allowwd on the foundation with the safety factor FS=3. The compressive strength f'c of concrete is 30.0 MN/m2.
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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.
Chapter 7 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 7 - A 7.5 ft wide rough continuous foundation is...Ch. 7 - In Problem 7.1, if there was no bedrock present...Ch. 7 - A 1.5 m × 2.0 m rectangular foundation is placed...Ch. 7 - In Problem 7.3, if no bedrock was present for at...Ch. 7 - Prob. 7.6PCh. 7 - Redo Problem 7.6 using Vesic’s (1975) solution...Ch. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - A continuous foundation having a width of 1.5 m is...Ch. 7 - A 2 m wide continuous foundation is to be placed...
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- A 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_forwardI need the answer as soon as possiblearrow_forwardA foundation 2 m wide x 4 m long, carrying a uniform pressure of 150 kPa, is located at a depth of 1 m in a layer of clay 5 m thick for which the value of E, is 40 MPa. This layer is underlain by a second clay layer 8 m thick for which the value of E is 75 MPa. v₁ = 0.5. A hard stratum lies below the second layer. Determine the average immediate settlement under the foundation.arrow_forward
- The initial principal stresses at a certain depth in a clay soil are 200 kPa on the horizontal plane and 100 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral (horizontal) stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. Determine (a) the change in magnitude of the principal stress, (b) the change in maximum shear stress, and (c) the change in orientation of the principal stress plane resulting from the construction of the foundation.arrow_forwardProblem II. The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. b. Determine the change in magnitude of the principal stresses. C. the change in maximum shear stress d. the change in orientation of the principal stress plane resulting from the construction of the foundation.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_forward
- Refer to Figure P5.5. Using the procedure outlined in Section 5.5, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 900 kNarrow_forwardProb. 3) Referring to the figure below: A) Compute the average increase in stress Ao below the centre of the footing for the clay layer 2. B) Compute the elastic settlement of the clay assuming a shallow foundation. OCR=3, P.I-30%, C-120 kPa, us=0.5. P= 1350 kN G.S. ydry= 17.7 kN/m³ 3 m Clay1 3.mx6 m. 2 m W.T. 2 m ysat= 20 kN/m3 4 m Clay2 ysat= 21 kN/m3 Rigid rock CS Scanned with CamScannerarrow_forwardThe plan of a rectangular foundation shown in figure transmits a uniform contact pressure of 120 kN/m². Determine the vertical stress induced by this loading at point B under a depth of 5 m. (40 marks) 25.0- 15.0 6.0- 4.0 B•arrow_forward
- A concrete foundation 3 m wide, 9 m long and 0.75 m thick is to be founded at a depth of 1.5 m in a deep deposit of dense sand. The angle of shearing resistance of the sand is 35° and its unit weight is 19 kN/m². The unit weight of concrete is 24 kN/m³. Using the working stress design approach with a factor of safety, Fs = 3.0: Determine the safe bearing capacity of the sand deposit under the prevailing conditions. Determine the safe bearing capacity of the foundation if it is subjected to a vertical load of 2200 kN and a horizontal load of 500 kN. The resulting eccentricity is 0.3 m in the foundation width (B) direction QpCarrow_forwardFor the embedded strip footing (infinitely long in the out-of-plane direction) shown below, the maximum vertical pressure that the soil can bear before failure is 100 kPa (i.e., qmax should not exceed 100 kPa). What is the maximum overall eccentricity of the foundation in mm before failure? (answer tolerance = 2%). Consider γconcrete = 25 kN/m3, γsoil = 18 kN/m3 and assume that the width of the embedded column is negligible, and the entire top of the foundation is covered with soil. Hint: for a strip footing, the calculations should be conducted assuming a 1-m long footing in the out-of-plane direction.arrow_forwardPlease solve this detailed step by steparrow_forward
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