Question

6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of $5 \times 10^{-3}$ mm ($2 \times 10^{-4}$ in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa ($20.3 \times 10^6$ psi).

Name: 6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of 5 × 10^-3 mm (2 × 10^-4 in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa (20.3 × 10^6 psi).
Uploaded: 2021-10-28T09:29:39-08:00
Duration: 1 min 47 s
Channel: Narayan Hari
Description: 6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of 5 × 10^-3 mm (2 × 10^-4 in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa (20.3 × 10^6 psi).

          6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of $5 \times 10^{-3}$ mm ($2 \times 10^{-4}$ in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa ($20.3 \times 10^6$ psi).

6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of 5 × 10^-3 mm (2 × 10^-4 in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa (20.3 × 10^6 psi).

Added by -Ngeles G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Narayan Hari

10/28/2021

Step 1

Step 1: The problem provides the following information: Original diameter, $d_0 = 8$ mm Change in diameter, $\Delta d = -5 \times 10^{-3}$ mm (negative because it's a reduction) Force, $F = 15700$ N Elastic modulus, $E = 140$ GPa $= 140 \times 10^9$ Pa Show more…

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6.17 A cylindrical specimen of a metal alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lb) produces a reduction in specimen diameter of $5 \times 10^{-3}$ mm ($2 \times 10^{-4}$ in.). Compute Poisson's ratio for this material if its elastic modulus is 140 GPa ($20.3 \times 10^6$ psi).