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. 30 MPa 40 MPa 10 MPa 10 MPa 40 MPa 30 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. 30 MPa 40 MPa 10 MPa 10 MPa 40 MPa 30 MPa