A stress field is given by 𝜎xx = 𝜎zz = C1y; 𝜎yy = C2y; 𝜏xy = 𝜏yz = 𝜏zx = 0,
where C1 and C2 are non-zero constants. If the stress field satisfies equilibrium,
which one of the following options is correct?
Options:
(A) There is no body force per unit volume.
(B) There is a constant body force per unit volume in the y-direction.
(C) The body force per unit volume varies linearly in the y-direction.
(D) The direction of the body force per unit volume depends on the value of C1.
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.28)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, 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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