Answer Happy

A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 470 mm, b = 210 mm, Px = 16 kN, Py = 14 kN, and P₂ = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a Py y P₂ b Px H K X

(b) On a piece of paper, sketch the x-z stress state and the properly oriented principal stress state. Use the resulting sketch to answer the questions in subsequent parts of this GO exercise. (a) The angle -25.86° locates a principal stress plane. Give the stress value including sign if any. (b) The angle 64.14° locates the other principal stress plane. Give the stress value including sign if any. (c) What stress or stresses occur on a plane at 19.14°? Give the stress value or values including sign if any. Answers: (a) o = MPa, i (b) o = i MPa, (c) o = MPa, T = MPa.