GATE AE 2016 • Q38 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

A cantilever beam -spring system is shown in the figure. The beam is made with a material of Young's modulus 1105 N/mm 2 and geometry such that its moment of inertia is 100 mm 4 and length l = 100 mm. It is supported by a spring of stiffness K = 30 N/mm and subjected to a load of P = 100 N at the point 'B'. The deflection at the point 'B' due to the load P is ____mm.

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.38)** **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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