As For Problems, 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 |
10-56 | 300 MPa | -100 MPa | 80 MPa CW |
10-57 | 250 MPa | -50 MPa | 40 MPa CW |
10-58 | 80 MPa | -10 MPa | 60 MPa CW |
10-59 | 150 MPa | 10 MPa | 100 MPa CW |
10-60 | 20 lcsi | -5 lcsi | 10 ksi CCW |
10-61 | 38 lcsi | - 25 lcsi | 18 ksi CCW |
10-62 | 55 lcsi | 15 ksi | 40 ksi CCW |
10-63 | 32 lcsi | -50 ksi | 20 lcsi CCW |
10-64 | -900 kPa | 600 1c Pa | 350 kPa CCW |
10-65 | -580 kPa | 130 kPa | 75 kPa CCW |
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