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 σ 1 . Draw...

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 thexaxis to σ₁. Draw stress elements as in Fig. 3–11canddand label all details.

(a) σ
_x
= 12, σ
_y
= 6, τ
_{x y}
= 4 cw

(b) σ
_x
= 16, σ
_y
= 9, τ
_{x y}
= 5 ccw

(c) σ
_x
= 10, σ
_y
= 24, τ
_{x y}
= 6 ccw

(d) σ
_x
= 9, σ
_y
= 19, τ
_{x y}
= 8 cw

Figure 3–11

All stresses in MPa.