Calculate the required data on the attached file! 50.000 ultimat Strength 45.000

Question

Calculate the required data on the attached file!
50.000 ultimat Strength 45.000 40.000 Engineering Yield Stress 5.000 0.000 Failure at for a 2 inch gauge length Strain 25,000 Elastic Modulus 20.000 15.000 Modulus of Resilience Modulus of Toughness 10.000 5,000 0.02 004 o c8 0.1 0.12 0.14 0.16 0.18 Engineering Strain 2 Gauge Length (in/in) 700 600 Su = ultimate Strength 500 400 Sy Yield Strength 300 Modulus of Resilience Modulus of Toughness 200 E Young's Modulus = 100 % Elongation 0 0.02 0.04 0.06 0.08 01 0.12 0.14 0.16 0180.2 Engineering Strain [m/m]

Explanation / Answer

Fig 1

1) Ultimate Strength = 45 000 psi

2) Engineering yield stress = 42000 psi

3) Failure at 0.165 in/in strain

4) Elastic modulus = 42000 / 0.005 = 8400000 psi

5) Modulus of resilience = stress ^2 / 2E   = 42000 ^2 / 2 * 8400000   = 105

6) Modulus of toughness = E * strain ^2 / 2 = 8400000 * 0.165 ^2 / 2 = 114345

Fig 2

1) Ultimate Strength = 625 MPa

2) Engineering yield stress = 440 MPa

3) % Elongation = 0.19 m/m or 19 %

4) Youngs modulus = 440/ 0.012 = 36.666 GPa

5) Modulus of resilience = stress ^2 / 2E   = 440^2 / 2 * 36.666 = 2640048

6) Modulus of toughness = E * strain ^2 / 2 = 36.666 * 0.19 ^2 / 2 = 661.81 * 10^6

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