Problem $3$

The steel pipe $AB$ has a $100$ mm outer diameter and an $8$ mm wall thickness. Knowing that the tension in the cable DE is $40$ kN $,$ determine:

a$)$ The normal stresses at point $H.$

b$)$ The shear stresses at point $H.$

c$)$ Draw the stresses element for point $H$

d$)$ Calculate the principal stresses for and its orientation for element H$.$

e$)$ Calculate the maximum shear stress, the average shear stress, and its orientation for element H$.$

Hint: The centroid of a half circle is $\frac{4r}{3}$ from the base.