3-15 For each of the plane stress states listed below, draw a Mohr's circle diagram properly
labeled, find the principal normal and shear stresses, and determine the angle from
the x axis to σ₁. Draw stress elements as in Figure 3-11c and d and label all details.
(α) σχ = 20 kpsi, σ₁ = -10 kpsi, Txy = 8 kpsi cw
(b) σ₁ = 16 kpsi, σy = 9 kpsi, Txy = 5 kpsi ccw
(c) σ₁ = 10 kpsi, σy = 24 kpsi, Txy = 6 kpsi ccw
(d) σx = -12 kpsi, σy = 22 kpsi, Txy = 12 kpsi cw
3-16 Repeat Problem 3-15 for:
(α) σχ = -8 MPa, σ₁ = 7 MPa, Txy = 6 MPa cw
(b) σχ = 9 MPa, σy = -6 MPa, Txy = 3 MPa cw
(c) σχ = -4 MPa, σy = 12 MPa, Txy = 7 MPa ccw
(d) σχ = 6 MPa, σy = -5 MPa, Txy = 8 MPa ccw