In: Civil Engineering
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?
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