Question

A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?

• A. Young's modulus
• B. Shear modulus
• C. Poisson's ratio
• D. Both Young's modulus and Shear modulus

Answer 1

Answer:

B. Shear modulus

Change in length: $\Delta L = \frac{Pl}{AE}$ decrease in To find a the diameter of the rod, we know the Poisson's ratio (μ) defined as: $μ =\frac {Lateral or diametral strain (\epsilon_D)} {Longitudinal strain (\epsilon_ L)}$ and E= 2G (1+ μ), we can calculate Poisson's ratio if we know the value of both Shear Modulus (G) and Young's Modulus (E).