Question 3: Four forces are applied to the pipe assembly shown. Knowing that the pipe has an outer diameter of d = 1.90 in and inner diameter of d = 1.61 in, use Mohr's Circle to find the principal stresses and maximum shear for the most critically stressed point. Sketch the results on differential elements with proper orientation with respect to the original x, y, z coordinates.
Answers:
ΓΖΓ’βΒ = 4,785 psi
ΓΖΓ’ββ = -3,065 psi
ΓβΓ’βΒΓ’ββ = -2,570 psi
ΓβΓ’ββΓ’ββ = -3,065 psi
ΓΖ_max = 6,281 psi
Γβ_max = 3,888 psi
ΓΒΈ = -26ΓΒ° (or clockwise)
ΓΒΈ = +19ΓΒ° (or counterclockwise)