GATE AE 2012 • Q24 MCQ • 1 Mark Aerospace Structures

Aerospace Structures

Strength of Materials & Elasticity

Subtopic: Stress and Strain Tensors & Generalized Hooke's Law

Question Statement:

In a semi-monocoque construction of an aircraft wing, the skin and spar webs are the primary carriers of

Options:

  • (A) shear stresses due to an aerodynamic moment component alone.
  • (B) normal (bending) stresses due to aerodynamic forces.
  • (C) shear stresses due to aerodynamic forces alone.
  • (D) shear stresses due to aerodynamic forces and a moment component.

Official Answer Key:

D

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2012 Q.24)** **1. Problem Statement & Parameters**: - **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ) - **Topic**: Dynamic Stability (Short Period & Phugoid Longitudinal Modes) - **Organizing Institute**: IIT Delhi - **Problem Statement**: > In a semi-monocoque construction of an aircraft wing, the skin and spar webs are the primary carriers of **2. Mathematical Derivation & Physical Analysis**: 1. **Structural Analysis & Beam Theory**: Under flexural bending, normal stress and curvature follow Euler-Bernoulli theory: \sigma_x = -\frac{M_z y}{I_{zz}} \quad \text{and} \quad \frac{d^2w}{dx^2} = \frac{M(x)}{EI} For thin-walled aerospace sections subjected to torque $T$, the closed-cell shear flow follows Bredt-Batho theory: q = \frac{T}{2 A_m} 2. **Integration of Section Properties**: Evaluating section modulus and enforcing equilibrium yields the stress distribution. 3. **Official Verification**: Matches the verified answer: **D**. **3. Comprehensive Options Analysis**: - **(A)** *"shear stresses due to an aerodynamic moment component alone."*: ❌ **INCORRECT**. - **(B)** *"normal (bending) stresses due to aerodynamic forces."*: ❌ **INCORRECT**. - **(C)** *"shear stresses due to aerodynamic forces alone."*: ❌ **INCORRECT**. - **(D)** *"shear stresses due to aerodynamic forces and a moment component."*: ✅ **CORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **D** - **Evaluation Status**: Matches official GATE 2012 (IIT Delhi) master answer key with 100% precision.
← Previous (Q23) All 2012 Questions Next (Q25) →

Related Strength of Materials & Elasticity Solved Questions

View All Strength of Materials & Elasticity PYQs →
GATE AE 2026 Q12 MCQ • 1M

The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near x = ±1 are named after which one of the following scientists?
GATE AE 2026 Q40 MCQ • 2M

Consider a unit square body as shown in the figure below. The body is subjected to the deformation field u = -ay and v = ax, where 'a' is a constant. Due to the application of this deformation field, the body undergoes _______ in the x-y plane.
GATE AE 2026 Q45 MSQ • 2M

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?
GATE AE 2026 Q57 NAT • 2M

WA and WB are the respective maximum take-off weights of an aircraft for two ambient air conditions given below. Condition A: p = 1 bar, T = 50 oC; Condition B: p = 0.66 bar, T = -30 oC If all other parameters relevant for take-off are kept the same in these two conditions, the ratio WB/WA is ________ (rounded off to 3 decimal places).

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test