20 MPa 20 MPa For each of the stress elements below: 1. Calculate the principal stresses, the maximum shear stress, and the angles they make with respect to the x-axis. 2. Draw the Mohr's circle representing the state of stress. Show on this circle the points representing 01, 02, and Tmax. Also show the angles 20p and 20T. 3. Draw a properly-oriented stress element showing the values of the principal stresses and the planes on which they act. 4. Draw a properly-oriented stress element showing the magnitude and direction of the maximum shear stress, and of the associated normal stresses. 5. If the material of the structural element is ductile with of = 200 MPa, determine using the von Mises criteria whether failure will occur and, if not, calculate the implied factor of safety.
20 MPa 20 MPa For each of the stress elements below: 1. Calculate the principal stresses, the maximum shear stress, and the angles they make with respect to the x-axis. 2. Draw the Mohr's circle representing the state of stress. Show on this circle the points representing 01, 02, and Tmax. Also show the angles 20p and 20T. 3. Draw a properly-oriented stress element showing the values of the principal stresses and the planes on which they act. 4. Draw a properly-oriented stress element showing the magnitude and direction of the maximum shear stress, and of the associated normal stresses. 5. If the material of the structural element is ductile with of = 200 MPa, determine using the von Mises criteria whether failure will occur and, if not, calculate the implied factor of safety.
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Transcribed Image Text:20 MPa
20 MPa
Transcribed Image Text:For each of the stress elements below:
1. Calculate the principal stresses, the maximum shear stress, and the
angles they make with respect to the x-axis.
2. Draw the Mohr's circle representing the state of stress. Show on this
circle the points representing 01, 02, and Tmax. Also show the angles 20p
and 20T.
3. Draw a properly-oriented stress element showing the values of the
principal stresses and the planes on which they act.
4. Draw a properly-oriented stress element showing the magnitude and
direction of the maximum shear stress, and of the associated normal
stresses.
5. If the material of the structural element is ductile with of = 200 MPa,
determine using the von Mises criteria whether failure will occur and,
if not, calculate the implied factor of safety.
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