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Question #3 For the figure below you are required to perform the following graphical solution: 1)...
1. Refer to Figure 1. For the following element draw the Mohr's circle and: a. Locate the pole b....
1. Refer to Figure 1. For the following element draw the Mohr's circle and: a. Locate the pole b. Show and label the tmax plane c. Show and label the major principal plane d. Show and label the minor principal plane e. Determine the horizontal plane stresses f. Determine the vertical plane stresses 100 kPa 30° Figure 1: An element undergoing a stress is shown
1. Refer to Figure 1. For the following element draw the Mohr's circle and: a....
tyles 3. For the body shown below a) Find the magnitude and orientation of the minor...
tyles 3. For the body shown below a) Find the magnitude and orientation of the minor and major principal stresses relative to the base directions provided b) Find the maximum shear stress magnitude and orientation relative the x y axis c) Find the normal and shear stress state on the horizontal plane d) Find the normal and shear stress state on plane AB For a) through d) find the solution using I) the stress transform equations as determined from the...
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...
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 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...
3) The stresses at a certain point in the ground are Ox = 210 kPa, 0,...
3) The stresses at a certain point in the ground are Ox = 210 kPa, 0, = 375 kPa, and Tzx = 75 kPa. Draw Mohr's circle for this point and then compute the following: a) The magnitudes and directions of the principal stresses b) The magnitude and directions of the maximum shear stress c) The normal and shear stresses on a plane inclined 55° clockwise from the horizontal.
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's...
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's circle coordinate axes with appropriate labels, center point A. radius of the circle (1) (3 points) Using the Mohir's circle, find the magnitude of the principal stresses and principal directions. Show them on a sketch of a properly oriented clement (c) (3 points) Using the Mohr's circle, find the magnitude of the maximun shear stress and associated normal stresses Show them on a sketch...
Question # 2 110 marks t45 MPa For the state of plane stress shown in the...
Question # 2 110 marks t45 MPa For the state of plane stress shown in the figure: a Construct Mohr's circle (4 marks), b- Determine the principal stresses (2 marks), Determine the directions of principal planes (2 marks), d- Determine the maximum shearing corresponding normal stress (2 marks). a-80 MPa C- stress and the
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
EXERCISE 7 (10 PTS) (A) Determine the normal and shear stresses acting on the plane for...
EXERCISE 7 (10 PTS) (A) Determine the normal and shear stresses acting on the plane for a - 30°. You are required to use the Pole Method by plotting all your graphical constructions to exact scale Given the stresses acting on an infinitesimal element of soil in the field, as shown below (B) Using the same construction from part (A), determine the major and minor principal stresses, illustrating the orientation of the corresponding planes on which the act (C) Using...
1. Refer to Figure 1. For the following element draw the Mohr's circle and: a. Locate the pole b. Show and label the tmax plane c. Show and label the major principal plane d. Show and label the minor principal plane e. Determine the horizontal plane stresses f. Determine the vertical plane stresses 100 kPa 30° Figure 1: An element undergoing a stress is shown
1. Refer to Figure 1. For the following element draw the Mohr's circle and: a....
tyles 3. For the body shown below a) Find the magnitude and orientation of the minor and major principal stresses relative to the base directions provided b) Find the maximum shear stress magnitude and orientation relative the x y axis c) Find the normal and shear stress state on the horizontal plane d) Find the normal and shear stress state on plane AB For a) through d) find the solution using I) the stress transform equations as determined from the...
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...
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 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...
3) The stresses at a certain point in the ground are Ox = 210 kPa, 0, = 375 kPa, and Tzx = 75 kPa. Draw Mohr's circle for this point and then compute the following: a) The magnitudes and directions of the principal stresses b) The magnitude and directions of the maximum shear stress c) The normal and shear stresses on a plane inclined 55° clockwise from the horizontal.
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's circle coordinate axes with appropriate labels, center point A. radius of the circle (1) (3 points) Using the Mohir's circle, find the magnitude of the principal stresses and principal directions. Show them on a sketch of a properly oriented clement (c) (3 points) Using the Mohr's circle, find the magnitude of the maximun shear stress and associated normal stresses Show them on a sketch...
Question # 2 110 marks t45 MPa For the state of plane stress shown in the figure: a Construct Mohr's circle (4 marks), b- Determine the principal stresses (2 marks), Determine the directions of principal planes (2 marks), d- Determine the maximum shearing corresponding normal stress (2 marks). a-80 MPa C- stress and the
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
EXERCISE 7 (10 PTS) (A) Determine the normal and shear stresses acting on the plane for a - 30°. You are required to use the Pole Method by plotting all your graphical constructions to exact scale Given the stresses acting on an infinitesimal element of soil in the field, as shown below (B) Using the same construction from part (A), determine the major and minor principal stresses, illustrating the orientation of the corresponding planes on which the act (C) Using...
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