The yield strength for an alloy that has an average grain diameter, d1, is listed above as Yield Stress 1 . At a grain diameter of d2, the yield strength increases Yield Stress 2. At what grain diameter, in mm, will the yield strength be 217 MPa

Complete Question:

Grain diameter 1 (mm) = 4.4E-02

Yield stress 1 (MPa) = 131

Grain diameter 2 (mm) = 7.7E-03

Yield Stress 2 (MPa) = 268

The yield strength for an alloy that has an average grain diameter, d1, is listed above as Yield Stress 1 . At a grain diameter of d2, the yield strength increases Yield Stress 2. At what grain diameter, in mm, will the yield strength be 217 MPa

d = 1.3 * 10⁻² m

Explanation:

According to the Hall Petch equation:

At ,

At ,

k = 27.45 - 0.2096(32.45)

k = 20.64

At , reapplying Hall Petch law:

d = 1.3 * 10⁻² m

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