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Question 1: A point within an embankment slope has vertical normal stress (o) of 100 kPa,...
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...
In a direct shear test on a sample of cohesionless sand, the vertical normal stress on...
In a direct shear test on a sample of cohesionless sand, the vertical normal stress on the sample is 300 kPa and the horizontal shear stress at failure is 200 kPa. a) Assuming uniform stress distribution within the failure zone, determine the magnitude and direction of the principal stresses at failure. b) Explain if it is possible to determine the principal stresses in a direct shear sample for an applied horizontal shear stress which is not large enough to cause...
A drained direct shear box test was performed on a sample of saturated sand. The normal...
A drained direct shear box test was performed on a sample of saturated sand. The normal effective stress of 467 kPa was constant throughout the test, and the initial sample dimenstions were 60 mm x 60 mm in plan x 30 mm deep. In the vicinity of peak shear stress, the data recorded were: (20 points) Shear Stress, τ (kPa) 42.5 43.1 42.8 Relative horizontal displacement x (mm) 0.30 0.40 0.80 Upward movement of the shear box cap y (mm)...
5, A soil element inside a 20° natural soil slope carries total vertical stress (%) of...
5, A soil element inside a 20° natural soil slope carries total vertical stress (%) of 140 kPa, total horizontal stress (on) of 80 kPa and shear stress (Tvh) of 15 kPa Canticlockwise shear stress on vertical plane). The pore-water pressure (u) inside the element is 30 kPa. The critical state angle of friction of the soil is 30o and its undrained shear strength is 40 kPa. (a) Draw the Mohr's stress circles for this element in terms of total...
Q4:- A sand sample is tested in a direct shear device. The vertical normal stress on...
Q4:- A sand sample is tested in a direct shear device. The vertical normal stress on the sample is 300 kN/m². The horizontal shear stress at failure is equal to 210 kN/m² a. Compute the angle of internal friction for the sand and the magnitudes of the principal stresses at failure. b. During a consolidated drained triaxial test, a sample of the same sand failed at a principal stress difference of 130 kN/m². Determine the magnitudes of the principal stresses...
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...
soil mechanics Q4:- A sand sample is tested in a direct shear device. The vertical normal...
soil mechanics
Q4:- A sand sample is tested in a direct shear device. The vertical normal stress on the sample is 300 kN/m². The horizontal shear stress at failure is equal to 210 kN/m². a. Compute the angle of internal friction for the sand and the magnitudes of the principal stresses at failure. b. During a consolidated drained triaxial test, a sample of the same sand failed at a principal stress difference of 130 kN/m². Determine the magnitudes of the...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
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...
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 51 ksi, Sy = 11 ksi, and Sxy = 32 ksi. (a) Determine the principal stresses (01 > 092) and the maximum In-plane shear stress Fruux acting at the point. (b) Find the smallest rotation angle 8, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then...
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...
In a direct shear test on a sample of cohesionless sand, the vertical normal stress on the sample is 300 kPa and the horizontal shear stress at failure is 200 kPa. a) Assuming uniform stress distribution within the failure zone, determine the magnitude and direction of the principal stresses at failure. b) Explain if it is possible to determine the principal stresses in a direct shear sample for an applied horizontal shear stress which is not large enough to cause...
5, A soil element inside a 20° natural soil slope carries total vertical stress (%) of 140 kPa, total horizontal stress (on) of 80 kPa and shear stress (Tvh) of 15 kPa Canticlockwise shear stress on vertical plane). The pore-water pressure (u) inside the element is 30 kPa. The critical state angle of friction of the soil is 30o and its undrained shear strength is 40 kPa. (a) Draw the Mohr's stress circles for this element in terms of total...
Q4:- A sand sample is tested in a direct shear device. The vertical normal stress on the sample is 300 kN/m². The horizontal shear stress at failure is equal to 210 kN/m² a. Compute the angle of internal friction for the sand and the magnitudes of the principal stresses at failure. b. During a consolidated drained triaxial test, a sample of the same sand failed at a principal stress difference of 130 kN/m². Determine the magnitudes of the principal stresses...
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...
soil mechanics
Q4:- A sand sample is tested in a direct shear device. The vertical normal stress on the sample is 300 kN/m². The horizontal shear stress at failure is equal to 210 kN/m². a. Compute the angle of internal friction for the sand and the magnitudes of the principal stresses at failure. b. During a consolidated drained triaxial test, a sample of the same sand failed at a principal stress difference of 130 kN/m². Determine the magnitudes of the...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
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...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 51 ksi, Sy = 11 ksi, and Sxy = 32 ksi. (a) Determine the principal stresses (01 > 092) and the maximum In-plane shear stress Fruux acting at the point. (b) Find the smallest rotation angle 8, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then...
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