Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 16, Problem 16.16P
For the mat in Problem 16.15, what will be the depth, Df, of the mat for FS = 3 against bearing capacity failure?
16.15 Consider a mat foundation with dimensions of 18 m × 12 m. The combined dead and live load on the mat is 44.5 MN. The mat is to be placed on a clay with cu = 40.7 kN/m2 and γ = 17.6 kN/m3. Find the depth, Df, of the mat for a fully compensated foundation.
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Question 2) For a shallow foundation shown below:
A. Estimate the ultimate bearing capacity when the water table located at a depth of 2 m
below the ground surface.
B. Estimate the moments about the x- and y-axis; assume that the foundation is subjected
to a vertical load and a moment. If eg and eL is 0.33 m and 0.12 m, respectively.
G.S
Iz
2 m
(2 m x 3 m)
Silty clay
Yo=17 kN/m³ , Ysat = 20 kN/m3
%3D
6 m
c'=78 kN/m? 0'=35°
Shear modulus=250 kN/m?
CS Scanned with CamScanner
A bldg. has an L-shape as shown in the plan. The load exerted by the structure is 68 kPa. Compute the total vertical stress in kPa due to the structure load at a depth of 4.5 m. below the interior corner A of the L. shaped bldg. Assume that the foundation is under the entire bldg. Unit weight of soil is 17.50 kN/m.
A reinforced concrete tower is provided on a ring foundation of inner radius of 8m and outer radius of
12m. If the foundation carries a distributed load of 250kN/m², determine the vertical stress (kPa) at a
depth of 6m below the center of the foundation.
da = q { 1
1
[) + 1]
+1
Chapter 16 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 16 - Prob. 16.1PCh. 16 - A 2.0 m wide continuous foundation carries a wall...Ch. 16 - Determine the maximum column load that can be...Ch. 16 - A 2.0 m wide strip foundation is placed in sand at...Ch. 16 - A square column foundation has to carry a gross...Ch. 16 - The applied load on a shallow square foundation...Ch. 16 - A column foundation (Figure 16.23) is 3 m 2 m in...Ch. 16 - Prob. 16.8PCh. 16 - A 2 m 3 m spread foundation placed at a depth of...Ch. 16 - An eccentrically loaded foundation is shown in...
Ch. 16 - For an eccentrically loaded continuous foundation...Ch. 16 - The shallow foundation shown in Figure 16.12...Ch. 16 - A mat foundation measuring 14 m 9 m has to be...Ch. 16 - Repeat Problem 16.13 with the following: Mat...Ch. 16 - Prob. 16.15PCh. 16 - For the mat in Problem 16.15, what will be the...Ch. 16 - Prob. 16.17CTPCh. 16 - Prob. 16.18CTPCh. 16 - A 2.0 m 2.0 m square pad footing will be placed...
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- 5'm H.Q 6 A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Dr = 1.2 m, H = 3 m, Es (clay)= 600 kN/m², and qo = 150 kN/m2. Determine the average elastic settlement of thearrow_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_forwardQ6. A column foundation (Figure below) is 3 m X 2 m in plan. Given: De = 1.5 m, o = 25°, c= 70 kN/m . Terzaghi's equation and assume general shear failure in soil and FS = 3, determine the net alowable koad. y = 17 kN/m 1.5 m 3 m x 2 m Yat = 19.5 kN/m Groundwater levelarrow_forward
- A square footing is proposed to be constructed on the silty sand layer as shown in Figure Q2. If the gross load (Qall) is 600 kN, check whether the foundation can carry the load or not. (Use Terzaghi's bearing capacity equation with general shear failure and FS = 3). 2. Qall Silty Sand 1.5 m y 19 kN/m c' 8 kN/m2 = 25° Ground Water 0.5 m 1.2 m Level Kar 19.0 kN/m' Figure Q2: A Square Footingarrow_forward3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that the groundwater table is 6 meters below the foundation. The applied load on the shallow square foundation makes an angle of 10° with the vertical. Use FS = 3 and determine the allowable load. (Use general bearing capacity equation.) 2 m 6 m 4 m y = 17.5 kN/m³ p' = 33° c' = 20 kN/m² Ysat = 20k N/m³ Groundwater tablearrow_forwardA 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_forward
- For a shallow foundation shown below: A. Estimate the ultimate bearing capacity when the water table located at a depth of 2 m below the ground surface. B. Estimate the moments about the x- and y-axis; assume that the foundation is subjected to a vertical load and a moment. If eg and er is 0.33 m and 0.12 m, respectively. G.S 2 m (2 m x 3 m) Silty clay Ya=17 kN/m , Ysat = 20 kN/m3 6 m c'=78 kN/m? 0=35° Shear modulus=250 kN/m2 CS Scanned with CamScannierarrow_forwardDetermine the net ultimate bearing capacity of a mat foundation measuring 20m x 9m on a saturated clay with = 85 kN/, =0,. sand with the allowable settlement is 50mm, and .arrow_forward3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that the groundwater table is 6 meters below the foundation. The applied load on the shallow square foundation makes an angle of 10° with the vertical. Use FS = 3 and determine the allowable load. (Use general bearing capacity equation.) 6m 4 m y = 17.5 kN/m³ ' = 33° c' = 20 kN/m² Ysat = 20k N/m³ Groundwater tablearrow_forward
- 2. A square footing is proposed to be constructed on the silty sand layer as shown in Figure Q2. If the gross load (Qall) is 600 kN, check whether the foundation can carry the load or not. (Use Terzaghi's bearing capacity equation with general shear failure and FS = 3). 1.5 m 0.5 m Qall 1.2 m Silty Sand Y = 19 kN/m³ c'= 8 kN/m² = 25° Ysat 19.0 kN/m³ Figure Q2: A Square Footing Ground Water Levelarrow_forward3. A square foundation is constructed in a soil deposit as shown in the figure below. Assume that the groundwater table is 6 meters below the foundation. The applied load on the shallow allowable load. (Use general bearing capacity equation.) square foundation makes an angle of 10° with the vertical. Use FS 3 and determine the 2 m 6 m 4 m y = 17.5 kN/m³ 4' = 33° c' = 20 kN/m² Ysat = 20k N/m³ Groundwater tablearrow_forward7. A shallow square foundation with the dimension of 2.5m by 2.5m is constructed at a depth of 1.5m below the ground surface to support a column load of 250kN. The foundation plan is shown on the following influence chart for point A located 3.5m below the surface. a. Calculate the length of the scale (AB) of the influence chart. b. Calculate the increase in vertical stress at point A. Point A A I. B Influence Value = 0.005 (Show all working calculations.)arrow_forward
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