The following data were collected from a 0.4-in.- diameter test specimen of polyvinyl chloride (l0 = 2.0 in.): After fracture, the total length was 2.09 in. and the diameter was 0.393 in. Plot the data and calculate (a) the 0.2% offset yield strength; (b) the tensile strength; (c) the modulus of elasticity; (d) the % elongation; (e) the % reduction in area; (f) the engineering stress at fracture; (g) the true stress at fracture; and (h) the modulus of resilience.

1. For the stress-strain curve shown below, please estimate the properties indicated. (a) Fracture Strain Please do your work on a separate sheet of paper, and put your answers in the boxes on the right. Be sure to include the proper symbol and units. Stress Strain 70 60 50 Stress (ksi) 240 30 20 10 70 0 0.000 60 50 Stress (ksi) 40 20 10 KULL 0 0.000 0.010 0.050 0.100 Strain (in/in) Stress Strain 0.020 0.030 Strain (in/in) 0.040 0.150 0.050 (b) Ultimate Tensile Stress (c) Fracture Stress (d) Proportional Limit (e) Elastic Modulus (1) Yield Stress (g) Tensile Toughness (Modulus of Toughness) (h) Modulus of Resilience

A student conducted an experiment to determine the behavior of poly (ethylene) and poly (tetrafluo-roethylene) to stress. The tables below depict the results of his experiments.   Part 1.1Plot the stress-strain curves for both types of material. Calculate their respective Young’s moduli (E). Howdo they compare?   Part 1.2From their respective plots, determine their approximate strain energy before plastic deformation begins.How do they compare?   Part 1.3What do these calculations of young’s modulus and strain energy tell us about the properties of bothmaterials? Compare the properties of both materials using these calculations.

A structural component in the form of a wide plate is to be made of a steel alloy that has a fracture toughness of 77 MPa.m ¹/2 and a yield stress of 1400 MPa. Inspection of the plate has identified an internal through the thickness crack of length 7.7 mm. Assume a value of Y=1. What is the maximum stress the component should be subjected to in order to not undergo rapid fracture.