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4) Figure 3 shows the stresses at failure for a point in a soil munss. Note...
The figure shows an element of soil at the interface between two dry sand layers on a a-32° slope...
The figure shows an element of soil at the interface between two dry sand layers on a a-32° slope The interface is d=7 m below the ground surface and ror both sand layers the friction angle is φ=30, and Ko= 0.41 Assume that the shear stress is zero on both the vertical and horizontal planes. Va1 (dry unit weight of sand layer 1) - 19 kN/m3 Ys2 (dry unit weight of sand layer 2) 20 kN/m Dry Sand (Yai Dry...
Question 3: The following figure shows the soil profile at a site for a proposed building....
Question 3: The following figure shows the soil profile at a site for a proposed building. The soil is a homogeneous, poorly graded sand. At the soil element A (as shown in the figure), if the increase in lateral effective stress is 20% of the increase in vertical effective stress, the soil element will failure. The coefficient of lateral earth pressure at rest. Ko is 0.5. Assume all stresses are principal stresses. The upper 4 m soil shares the same...
2. The results of a Consolidated Undrained (CU) triaxial test on a sand soil are in the figures below. The sample was subjected to a vertical load (do). At failure, the Δσ was 914 psi and the induced...
2. The results of a Consolidated Undrained (CU) triaxial test on a sand soil are in the figures below. The sample was subjected to a vertical load (do). At failure, the Δσ was 914 psi and the induced pore water pressure at failure (Au) was 683 psi. consolidated to a stress of 12 psi and then Au 6.83 psi σ,-12 psi -σ,-12 psi Sand At Failure Initial (Consolidation) A. Draw both the total and effective stress Mohr's Circles at failure...
The figure below shows the stress condition at a point. a) Draw a Mohr circle for...
The figure below shows the stress condition at a point. a) Draw a Mohr circle for the stress condition b) Locate the Pole c) Estimate magnitude of major and minor principal stresses and orientation of the principal planes graphically and algebraically, and compare the results. d) Estimate the maximum shear stress Show all your work and label all the points. ?,-1400 psf 00 psi ox- 600 psf Tyx 200 psf
The block diagrams below show states of stress on soil elements. For each state of stress,...
The block diagrams below show states of stress on soil elements.
For each state of stress, perform the following tasks:
1. Sketch a Mohr circle of stress
2. Identify the major and minor principal stresses, σ1 and σ3,
and the maximum shear stress, τmax
3. Compute the mean stress and shear stress invariants, p and q.
Note that p = 1⁄2(σ1+ σ3) and q = σ1-σ3 for two-dimensional stress
conditions where we ignore the intermediate principal stress,
σ2.
4. Identify...
The state of stress within the soil below the ground surface is σ.-28 kPa, σ,-14 kPa,...
The state of stress within the soil below the ground surface is σ.-28 kPa, σ,-14 kPa, and t-4 kPa on the horizontal plane. Using Mohr's circle; a) Find the magnitude and directions of the major and minor principal stresses, that is the plane on which there are no shear stresses. b) If the material is a loose sand with a known friction angle of p-30 degrees and c'-0, construct the Coulomb failure envelope and determine if this soil is in...
(10 points) The major and minor principal stresses measured in a soil element are equal to 200 and 100 kPa, respectively. The soil is a dry sand with an internal friction angle of 32 degrees and a co...
(10 points) The major and minor principal stresses measured in a soil element are equal to 200 and 100 kPa, respectively. The soil is a dry sand with an internal friction angle of 32 degrees and a cohesion intercept of zero, when the soil will be loaded, additional compressive stress increments of ơs and ơs/4 will be superimposed on σι and σ, respectively. Determine the maximum possible value of ơs such that the shear strength will not be exceeded in...
QUESTIONS e s the Mohr-Coulomb failure criterion in terms of principal stresses iven by. 0,- NP....
QUESTIONS e s the Mohr-Coulomb failure criterion in terms of principal stresses iven by. 0,- NP. N cohesion of the soil, is the priction angle of the theme principale the minor principal stress If the wall shown in the figure is moving towards the retained soil, the active earth pressure, osis t or 0,=N0, +2jN, on On = NO +2c/N, _ 06-20/N, 04-20. 0 No
Problem No. 5 (Figure 5) Using Mohr's circle determine the following: (i) Maximum principle stresses (σ1...
Problem No. 5 (Figure 5) Using Mohr's circle determine the following: (i) Maximum principle stresses (σ1 and σ2) (i) Maximum shear stress (Tmax) (iii) Orientation of principle axis (%) (iv) Orientation of Tmax (0s) (v) Determine σ' and σ' for θ 15. clockwise rotation (vi) Sketch the state of stress for case- (ii) (vii) Sketch the state of stress for case- (iv) Figure 5 2 ksi 2 ksi 4 ksi
4. Shear Strength A sample of cohesive soil with undrained shear strength of 30 Kpa is beng tested in a triaxial est with a confining pressure of 15 Kpa (see the figure below). Sketch the failure...
4. Shear Strength A sample of cohesive soil with undrained shear strength of 30 Kpa is beng tested in a triaxial est with a confining pressure of 15 Kpa (see the figure below). Sketch the failure envelope and Mohr's circle representing the state of stress at failure. Evaluate the following: (i) The vertical axial stress at failure. (ii) The major and minor principal stresses at failure (ii) The orientation of failure plane with respect to horizontal plane. (iv) The normal...
The figure shows an element of soil at the interface between two dry sand layers on a a-32° slope The interface is d=7 m below the ground surface and ror both sand layers the friction angle is φ=30, and Ko= 0.41 Assume that the shear stress is zero on both the vertical and horizontal planes. Va1 (dry unit weight of sand layer 1) - 19 kN/m3 Ys2 (dry unit weight of sand layer 2) 20 kN/m Dry Sand (Yai Dry...
Question 3: The following figure shows the soil profile at a site for a proposed building. The soil is a homogeneous, poorly graded sand. At the soil element A (as shown in the figure), if the increase in lateral effective stress is 20% of the increase in vertical effective stress, the soil element will failure. The coefficient of lateral earth pressure at rest. Ko is 0.5. Assume all stresses are principal stresses. The upper 4 m soil shares the same...
2. The results of a Consolidated Undrained (CU) triaxial test on a sand soil are in the figures below. The sample was subjected to a vertical load (do). At failure, the Δσ was 914 psi and the induced pore water pressure at failure (Au) was 683 psi. consolidated to a stress of 12 psi and then Au 6.83 psi σ,-12 psi -σ,-12 psi Sand At Failure Initial (Consolidation) A. Draw both the total and effective stress Mohr's Circles at failure...
The figure below shows the stress condition at a point. a) Draw a Mohr circle for the stress condition b) Locate the Pole c) Estimate magnitude of major and minor principal stresses and orientation of the principal planes graphically and algebraically, and compare the results. d) Estimate the maximum shear stress Show all your work and label all the points. ?,-1400 psf 00 psi ox- 600 psf Tyx 200 psf
The block diagrams below show states of stress on soil elements.
For each state of stress, perform the following tasks:
1. Sketch a Mohr circle of stress
2. Identify the major and minor principal stresses, σ1 and σ3,
and the maximum shear stress, τmax
3. Compute the mean stress and shear stress invariants, p and q.
Note that p = 1⁄2(σ1+ σ3) and q = σ1-σ3 for two-dimensional stress
conditions where we ignore the intermediate principal stress,
σ2.
4. Identify...
The state of stress within the soil below the ground surface is σ.-28 kPa, σ,-14 kPa, and t-4 kPa on the horizontal plane. Using Mohr's circle; a) Find the magnitude and directions of the major and minor principal stresses, that is the plane on which there are no shear stresses. b) If the material is a loose sand with a known friction angle of p-30 degrees and c'-0, construct the Coulomb failure envelope and determine if this soil is in...
(10 points) The major and minor principal stresses measured in a soil element are equal to 200 and 100 kPa, respectively. The soil is a dry sand with an internal friction angle of 32 degrees and a cohesion intercept of zero, when the soil will be loaded, additional compressive stress increments of ơs and ơs/4 will be superimposed on σι and σ, respectively. Determine the maximum possible value of ơs such that the shear strength will not be exceeded in...
QUESTIONS e s the Mohr-Coulomb failure criterion in terms of principal stresses iven by. 0,- NP. N cohesion of the soil, is the priction angle of the theme principale the minor principal stress If the wall shown in the figure is moving towards the retained soil, the active earth pressure, osis t or 0,=N0, +2jN, on On = NO +2c/N, _ 06-20/N, 04-20. 0 No
Problem No. 5 (Figure 5) Using Mohr's circle determine the following: (i) Maximum principle stresses (σ1 and σ2) (i) Maximum shear stress (Tmax) (iii) Orientation of principle axis (%) (iv) Orientation of Tmax (0s) (v) Determine σ' and σ' for θ 15. clockwise rotation (vi) Sketch the state of stress for case- (ii) (vii) Sketch the state of stress for case- (iv) Figure 5 2 ksi 2 ksi 4 ksi
4. Shear Strength A sample of cohesive soil with undrained shear strength of 30 Kpa is beng tested in a triaxial est with a confining pressure of 15 Kpa (see the figure below). Sketch the failure envelope and Mohr's circle representing the state of stress at failure. Evaluate the following: (i) The vertical axial stress at failure. (ii) The major and minor principal stresses at failure (ii) The orientation of failure plane with respect to horizontal plane. (iv) The normal...
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