A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a force of 2.5 kN. When the force is increased from 2.5 kN to 9 kN, the specimen elongates 0.225 mm. Determine the modulus of elasticity for the material if it remains linear elastic.

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650 600 550 500 450 400 350 300 250 200 150 100 50 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 Strain mm/mm The graph above shows the stress-strain relationship of a steel bar under tension test. The steel bar diameter = 8 mm and the bar gauge length = 100 mm. Determine the following: Toughness of the specimen Stress (MPa)

A brass alloy rod having a cross sectional area of 0.24 in.2and a modulus of 16 * 106 psi is subjected to a tensile load. Plastic deformation was observed to begin at a load of 8,944 lb.a. Determine the maximum stress that can be applied without plastic deformation.b. If the maximum length to which a specimen may be stretched without causing plastic deformation is 3.28 in., what is the original specimen length?