For determine the principal stresses and the maximum shear stress using Mohr?s circle. The following data sets give the stresses on the initial stress element. Perform the following operations.
(a) Draw the complete Mohr’s circle, labeling critical points including σ1σ2τmax, and σavg
(b) On Mohr’s circle, indicate which line represents the x-axis on the initial stress element.
(c) On Mohr’s circle,indicate the angles from the line representing the σ-axis to the σ1 axis and the τmax-axis.
(d) Draw the principal stress element and the maximum shear stress element in their proper orientation relative to the initial stress element.
Problem | σx | σy | τxy |
10-66 | -840 kPa | -35 kPa | 650 kPa CCW |
10-67 | -325 kPa | 50 kPa | HOkPaCCW |
10-68 | -1800 psi | 300 psi | 800 psi CW |
10-69 | -6500 psi | 1500 psi | 1200 psi CW |
10-70 | -4250 psi | 3250 psi | 2800 psi CW |
10-71 | -150 psi | 8600 psi | 80 psi CW |
10-72 | 260 MPa | OMPa | 190 MPa CCW |
10-73 | 1450 kPa | OkPa | 830 kPa CW |
10-74 | 22 ksi | 0 ksi | 6.8 ksi CW |
10-75 | 6750 psi | 0 psi | 3120 psi CCW |
10-76 | 0 ksi | -28 ksi | 12 ksi CW |
10-77 | 0 MPa | 440 MPa | 215 MPa CW |
10-78 | 0 MPa | 260 MPa | 140 MPa CCW |
10-79 | OkPa | -1560 kPa | 810 kPa CCW |
10-80 | 225 MPa | - 85 MPa | OMPa |
10-81 | 6250 psi | - 875 psi | 0 psi |
10-82 | 775 kPa | -145 kPa | OkPa |
10-83 | 38.6 ksi | -13.4 ksi | 0 ksi |
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