Question

In: Civil Engineering

The results of a tensile experiment on a metal is given in the table below. The...

The results of a tensile experiment on a metal is given in the table below. The tensile sample had circular cross section with the diameter of 10 mm and initial gauge length of 60 mm. Use this table and calculate:

Force (N) Measured Length (mm) Region
0 60 Elastic
15708 60.15 Elastic
31416 60.3 Elastic
35343 60.6 Plastic
36128 61.2 Plastic
36914 63 Plastic
37306 66 Plastic

(a) The Young modulus of this metal (in GPa)

(b) The modulus of resilience (MJ/m3 )

(c) The measured diameter of the sample is 9.5mm when the applied force is 37306N. What is the Poisson’s ratio?

(d) What is the engineering stress and strain, as well as the true stress and strain at the applied force of 37306N?

Solutions

Expert Solution

DETAILED SOLUTION

FINAL ANSWER

(a) E = 80 Gpa

(c) Poisson's Ratio = 0.5

(d) Engeering Stress = 474.9951 MPa

Engineering Strain = 0.1

True Stress = 522.4946 MPa

True Strain = 0.0953


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