Calculating yield stress?

I have a cylindrical steel sample tested in tension. It’s cross-sectional area is 500 mm2. I am also told that:

  • Force at yield = 205 kN
    Maximum force = 258 kN
    Force at fracture = 200 kN

I am asked to calculate the yield stress, ultimate tensile stress and fracture stress if the reduction of area at fracture is 40%.

Working:

Yield Stress:

Yield Stress = 205 x103 / 5 x10-4 = 4.1 x108 Nm-2

Ultimate Tensile Strength

Ultimate Tensile Stress = 258 x103 / 5 x10-4 = 5.16 x108 Nm-2

Fracture Stress

For this question I reduced the 5 x10-4 by 40% to get 3 x10-4. I then did 200 x 103 / 3 x10-4 = 6.7 x108 Nm-2.

Are my answers correct? Thanks.

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