Topic: Strength of Materials
A material has a Young's modulus of 200 GPa and Poisson's ratio of 0.3. What is its bulk modulus?
- A. 100 GPa
- B. 153.8 GPa
- C. 76.9 GPa
- D. 166.7 GPa
Answer: D. 166.7 GPa
Explanation: The relationship between Young's Modulus ($E$), Bulk Modulus ($K$), and Poisson's ratio ($\nu$) is $E = 3K(1 - 2\nu)$.
$200 = 3K(1 - 2(0.3)) = 3K(1 - 0.6) = 3K(0.4) = 1.2K$.
$K = \frac{200}{1.2} = \frac{2000}{12} = 166.67$ GPa.