GATE AE 2018 • Q31 NAT • 1 Mark

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

Which of the following statement(s) is/are true about the state of a body in plane strain condition? P: All the points in the body undergo displacements in one plane only, for example the x -y plane, leading to 𝜀zz = 𝛾xz = 𝛾yz = 0. Q: All the components of stress perpendicular to the plane of deformation, for example the x-y plane, of the body are equal to zero, i.e. 𝜎zz = 𝜏xz = 𝜏yz = 0. R: Except the normal component, all the other components of stress perpendicular to the plane of deformation of the body, for example the x -y plane, are equal to zero, i.e. 𝜎zz ≠ 0, 𝜏xz = 𝜏yz = 0. (A) P only (B) Q only (C) P and Q (D) P and R

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.31)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, 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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