A material has a linear elastic perfectly plastic stress-strain.  A cylindrical specimen of that material having an initial length of 35 mm and a tadius of 7 mm is pulled until it elongates 0.8mm. a.  Calculate the stain and the corresponding stress at that elongation value. b.  Afterward, the specimen is released to zero stress level, how does the final length of the specimen compare with its original length?  How much plastic deformation remains if it exists?

Question 4 Save Answer You do a series of tensile tests on plates of a magnesium alloy that have been subjected to prior cold rolling to true plastic strains of 0.1, 0.2 and 0.3. The resulting true stress-true strain curves are shown below (including a zoomed in version expanding on the small strain region). It is reasonable to approximate the the 0.2% offset yield strength of the magnesium as ✓ MPa for 0.2 and ✓ MPa for 0.3. Assuming the yield strength is ✓ MPa for 0.1 plastic strain, proportional to the square root of the prior true plastic strain results in a hardening coefficient of approximately k= MPa. Hence, we can predict that we need a prior plastic strain of approximately True Stress (MPa) True Stress (MPa) True Stress (MPa) 250 200 150 100 50 0 0.00 250 200 150 100 50 0 0.00 250 200 150 100 50 0 0.00 Ep = 0.1 0.01 Ep=0.2 0.01 Ep=0.3 0.01 0.02 True Strain 0.02 0.03 0.02 0.03 True Strain 0.03 0.04 0.04 0.04 True Stress (MPa) 0.05 0.000 0.001 True Stress (MPa) Ep=0.1 True…

2) For a brass alloy, the stress at which plastic deformation begins is345 Mpa and the modulus of elasticity is 103GPa.a) What is the maximum load that can be applied to a specimen with area130mm² cross section without plastic deformation? b) If the original length of the specimen is 76 mm, what is themaximum length to which it can be stretched without causing deformationplastic?