A prismatic vertical column of cross-section a × 0.5a and length l is rigidly fixed
at the bottom and free at the top. A compressive force P is applied along the
centroidal axis at the top surface. The Young's modulus of the material is 200 GPa
and the uniaxial yield stress is 400 MPa. If the critical value of P for yielding and
for buckling of the column are equal, the value of (
l
a) is _____(rounded off to
one decimal place).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.58)**
**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**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.