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3) The stresses at a certain point in the ground are Ox = 210 kPa, 0,...
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are...
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are 120 kN/m2 and 46 kN/m2 (both in compression), respectively. a) Label the element with the principal stresses b) Draw the Mohr's circle for these conditions. Label the axes. c) On the Mohr's circle, label the major and minor principal stresses, the deviator stress, and the center of the circle. Show all applicable coordinates or values d) What is the maximum shear stress and 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...
Using Mohr's circle determine for the below differential element: a) the principal stresses and the plan...
Using Mohr's circle determine for the below differential
element:
a) the principal stresses and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
b) the maximum shear stress and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
c) the stresses on a differential element 40 degrees clockwise
from the original element. Show the stresses on a properly oriented
differential element. Label...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
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...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa;...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa; and unknown shear stress, The maximum principal stress was determined to be 104.34 MPa. Using Mohr's cirdle, determine a. the magnitude of the shear stress, b. the principal plane and the minimum principal stress. Then, sketch the element showing all stresses in its proper orientation, c. the maximum shear stress, associated normal stress and the orientation of the element. Then, sketch the element showing...
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...
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...
5) A xy- -3750 kPa Using Mohr's Circle, find the principal stresses and the maximum shear...
5) A xy- -3750 kPa Using Mohr's Circle, find the principal stresses and the maximum shear stresses and associated normal stresses. (Problem 7.4-18) point in a structure is subjected to stresses as follows: σ,-2900 kPa, ơy-9100 kPa, τ
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are 120 kN/m2 and 46 kN/m2 (both in compression), respectively. a) Label the element with the principal stresses b) Draw the Mohr's circle for these conditions. Label the axes. c) On the Mohr's circle, label the major and minor principal stresses, the deviator stress, and the center of the circle. Show all applicable coordinates or values d) What is the maximum shear stress and 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...
Using Mohr's circle determine for the below differential
element:
a) the principal stresses and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
b) the maximum shear stress and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
c) the stresses on a differential element 40 degrees clockwise
from the original element. Show the stresses on a properly oriented
differential element. Label...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
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...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa; and unknown shear stress, The maximum principal stress was determined to be 104.34 MPa. Using Mohr's cirdle, determine a. the magnitude of the shear stress, b. the principal plane and the minimum principal stress. Then, sketch the element showing all stresses in its proper orientation, c. the maximum shear stress, associated normal stress and the orientation of the element. Then, sketch the element showing...
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...
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...
5) A xy- -3750 kPa Using Mohr's Circle, find the principal stresses and the maximum shear stresses and associated normal stresses. (Problem 7.4-18) point in a structure is subjected to stresses as follows: σ,-2900 kPa, ơy-9100 kPa, τ
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