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:
σ₠= 4,785 psi
σ₂ = -3,065 psi
Ï„â‚â‚“ = -2,570 psi
τₓₓ = -3,065 psi
σ_max = 6,281 psi
τ_max = 3,888 psi
θ = -26° (or clockwise)
θ = +19° (or counterclockwise)