The stresses induced by a surface load on a loose horizontal sand (ɸ = 30o) layer were found to be σv = 6.0 kPa, τv = 1.6 kPa, σh = 3.7 kPa, and τh = -1.6 kPa. By means of Mohr circles, determine if such a state of stress is safe. If so, what is the factor of safety? Use FS = τff(available) / τf(applied) for the definition of factor of safety.

Q: the depth z

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Q: Practice Problem: Refer to Figure 3.70, a flexible square area is subjected to a uniformly…

A: Given: The distributed load (q) is 100 kN/m2. The depth is 4 m. Consider the figure,

Q: Solve this problem graphically and then analytically. A CU triaxial test was performed on a dense…

A: Introduction Stress is a physiological term in continuum mechanics that describes the internal…

Q: The polyethylene liner of a settling pond is subjected to stresses 0z = 2,100 kPa , oy = 300 kPa,…

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Q: The polyethylene liner of a settling pond is subjected to stresses o, = 2,200 kPa. o, = 320 kPa. and…

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Q: The effective stress friction angle of saturated, cohesionless soil is 38°. The ratio of shear…

A: Given: Effective stress friction angle, ϕ=38° For cohesionless soil, c = 0

Q: subjected to the concentrated vertical loads as shown in the figure. Cross- section of the prism is…

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Q: 150 psi 60 psi 90 psi 60 psi 45° A B

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Q: Problem-4 A series of direct shear tests was conducted on a soil, each test was carried out till the…

A: Given, Size of specimen = 50 mm x 50 mm Specimen height = 25 mm

Q: The diagram below shows a multi-layered soil, write an expression for the stress at each layer and…

A: Given:- The total depth of the soil = z The depth of the layer 1 = d1  The depth of the layer 2 = d2…

Q: Situation 1 For the given figure, the following stresses were found. Note: ov = Total Stress, u =…

A: To find out the  a) Void ratio of gravelly sand b) Saturated unit weight of sand.  c) Buoyant unit…

Q: IV. A soil element is shown in Figure 3. (use equations) 130 kN/m² 35kN/m² 30⁰ 60 kN/m² 10 11. 12 +…

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Q: on a normally consolidated clay are given next: Axial Strain, % Aa, kN/m2 Ud, kN/m2 0.5 156 99 0.75…

A: Sigma3=392 kN/m2

Q: 3. The following table shows the shear test results along the foliation surfaces of gneisses. The…

A: Introduction : A shear test is used to stress a test sample to the point where it experiences a…

Q: A delta rosette as shown in the figure measures micro-strains as follows: EA = - 100 x 10-6, ɛg =…

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Q: 4. What is the effective stress for the soil at point A given the situation depicted below. 123pcf,…

A: step 1-

Q: Another method of determining the capillary rise in a soil is to use Hazen's capillary formula. The…

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Q: At a point in 2D stress system ox = 130 N/mm², oy = Txy=40 N/mm². What is the radius of the Mohr…

A: Given: A point in 2D stress system, σx=130 Nmm2σy=τxy=40 Nmm2 Stress drawn with a scale of 1 cm = 10…

Q: A sample of dry sand is subjected to a tri- axial test. The angle of internal friction is 37.6°. The…

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Q: Sketch Mohr's Circle for Strain. Indicate the following Y Max InPlane on your sketch the following…

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Q: A 20 mm diameter hole is drilled on the centerline of a steel strap 50 mm wide by 5 mm thick,…

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Q: Total Stress (6) Pore Water Pressure (u) Effective Stress (o') |26.2 kPa 26.2 kPa -2.0 m \71.2 kPa…

A: Normal stress is defined as the sum of the normal component of the forces over a plane divided by…

Q: effective stress for the soll at point A

A: Given: To find: Effective stress at A

Q: Q1: Find the increase in stress in (mPa) at soil element (A) due to the application of the external…

A: Given data: Load=730 kN, 2420 kN Depth=1m   It is asked to calculate the stress at soil element A…

Q: A clay specimen was tested in undrained direct shear, under a normal stress of 50 kPa. The peak…

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Q: A strip  loading  of infinite length  is shown  in figure below  compute  the vertical  stress…

A: Consider the figure,

Q: To use rock in engineering applications, certain properties of the rock mass must be assessed to…

A: (i) Discontinuity - A discontinuity in a rock mass is a plane or surface that marks a change in…

Q: 04) From the figure below, calculate the increment stress (Ao) at depth(z=1 )meter under the point B…

A: To find :- The increase in stress due to two point load applied at points A and B 5 m apart at Z = 1…

Q: 8. A soil particle is subjected to a maximum stress of 14.6 kPa and a minimum stress of -4.18 kPa.…

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Q: 5m 3m 2m N.G.L Gs=2.67, e = 0.78 Sand 3 y(sat.) = 18KN/m ³ Silty Clay 20KN Ysat. m3 Gravel

A: step 1-

Q: A sample of dry sand is subjected to a tri- axial test. The angle of internal friction is 34.8°. The…

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Q: A soil element is shown in Figure 3. (use equations) 130 kN/m2 35KN/m? A 30° 60 kN/m2 B 35 kN/m2…

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Q: PROBLEM 2 (15 points): The magnitude of stresses of the soil element represented by the figure below…

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Q: 2 Direct shear tests were P size of the specimen was results were as given in Test no. Normal force…

A: Given- Specimen Size=50mm×50mm×20mm

Q: 2. Sand at a given relative density has a friction angle of approximately 33° (relatively low…

A: Solution Given data Friction angle ϕ= 330 Pore pressure= 5 KPa unit weight γ= 18 KN/m3

Q: A sand sample is subjected to  direct shear testing at it's (in - situ) water  content. Two tests…

A: Shear Stress, T = 400 KPaNormal Stress, σ = 600KPa. for sand , Cohesion C = 0

Q: Determine the following: (1) Total stress at point A in psf  (2) Effective stress at point A in…

A: Since soil above point A is above the water table,  so we have to consider soil unit weight as 102…

Q: Determine the vertical stress increase, Aoz, at point A with the following values: q1 = 90 KN/m; q2…

A: Given: Line loads Vertical distance Radial distance To find:  Vertical stress increase at point A to…

Q: A circular area on the ground surface is subjected to a uniformly distributed load, q = 2200 Ib/ft2.…

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Q: 6 ft 4 ft 9ft DRY SAND CLAY WT Gs = 2.66 e = 0.50 CLAY Gs = 2.71 e = 0.75 Capillary Rise Zone…

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Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.