The figure shows plots of two yield loci for an isotropic material, where 𝜎I and 𝜎II
are the principal stresses, and 𝜎Y is the yield stress in uniaxial tension. Which of the
following statements is/are correct?
Options:
(A) Criterion P represents the von Mises criterion
(B) Criterion Q represents the Tresca criterion
(C) Criterion P represents the Tresca criterion
(D) Criterion Q represents the von Mises criterion
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.46)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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