A thin flat plate is subjected to the following stresses:
𝜎xx = 160 MPa; 𝜎yy = 40 MPa; 𝜏xy = 80 MPa.
Factor of safety is defined as the ratio of the yield stress to the applied stress. The
yield stress of the material under uniaxial tensile load is 250 MPa. The factor of
safety for the plate assuming that material failure is governed by the von Mises
criterion is _____ (rounded off to two decimal places).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.59)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Structural Mechanics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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