A component with a radius transition is attached to a rigid wall at point A. A moment M is applied at point C. The component thickness is 20mm and the radius is 5 mm.
Part A: The component is made of a brittle material with yield strength of 60 MPa and an ultimate strength of 75 MPa. Find the max permitted moment M for a factor of safety equal to 3 at the transition section B.
Part B: Engineers are considering making this component from a ductile material. If the worst case state of stress (happens in the ductile material near the rigid wall transition at point A) is shown:
Determine the factor of safety relative to the maximum shear stress theory of the proposed material if it's yield strength is 90 MPa.