Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 10.0 mm. a tensile force of 1500 n produces an elastic reduction in diameter of 6.7 × 10–4 mm. compute the elastic modulus of this alloy, given that poisson’s ratio is 0.35. express the answer in gpa to three significant figures.

The elastic modulus is 99.7 GPa

Solution:

As per the question:

Diameter of the metal alloy, D = 10.0 mm = 0.01 m

Tensile force, F = 1500 N

Elastic reduction in the diameter of the metal alloy,

Poisson's ratio,

Now,

Lateral strain is given by:

Longitudinal strain, :

Now, stress is given by:

where

Now,

Now, the elastic modulus is given by:

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