The deformation of an open-section bar subjected to pure torsion can be solved by
choosing an appropriate Prandtl stress function. Which of the following statements
is/are true about the Prandtl stress function?
Options:
(A) It satisfies the equilibrium equation
(B) It is zero on the lateral surfaces of the bar
(C) It satisfies the compatibility equation
(D) It does not satisfy the equilibrium equation
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.45)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Incompressible & Compressible Aerodynamics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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