It is desired to measure the Young's modulus and the Poisson's ratio of a given homogeneous,
isotropic material. A bar of length 20cm and square cross-section (10mm× 10mm) of this material is
subjected to a tensile load of 40kN. Under this load, length increases to 20.1cm while the cross-
section reduces to 9.98mm× 9.98mm. Young's modulus and Poisson's ratio of the material are:
(A) 80GPa& 0.4 respectively (B) 40GPa& -0.4 respectively
(C) 80GPa& -0.2 respectively (D) 40GPa& 0.2 respectively
AE 2/11
AE (GATE 2014)
- AE
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.11)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, 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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