Topic: Machine Design
Match the following criterion of material failure under biaxial stresses $\sigma_{1}$ and $\sigma_{2}$ and yield stress $\sigma_{y},$ with their corresponding graphic representations.
- A. A-L, B-N, C-M
- B. A-N, B-L, C-M
- C. A-M, B-N, C-L
- D. A-N, B-M, C-L
Answer: B. A-N, B-L, C-M
Explanation: A. Maximum shear stress criterion corresponds to the Tresca hexagon (Representation N). B. Maximum distortion energy criterion (von Mises) corresponds to the ellipse (Representation L). C. Maximum normal stress criterion (Rankine) corresponds to the square (Representation M). Thus, the correct match is A-N, B-L, C-M.