Three steel bars with a diameter of 0.5 in. and carbon contents of 0.2, 0.5, and 0.8 %, respectively. The specimens were subjected to tension until rupture. The load versus deformation results were as shown in Table P3.20. If the gauge length is 2 in., determine the following:

a. The tensile stresses and strains for each specimen at each load increment

b. Plot stresses versus strains for all specimens on one graph

c. The proportional limit for each specimen

d. The 0.2% offset yield strength for each specimen

e. The modulus of elasticity for each specimen

f. The strain at rupture for each specimen

g. Comment on the effect of increasing the carbon content on the following:

i. Yield strength

ii. Modulus of Elasticity

iii. Ductility

Specimen No. 1 Carbon Content (%) 0.2 Deformation Load 0 31 32 0.000 0.003 0.004 0.006 0.020 0.040 0.100 0.200 0.300 0.400 0.500 0.550 33 34 32 36 46 52 56 51 46 (Rupture) 2 0.5 0 144 46 47 46 55 31 68 78 79 71 (Rupture) 3 0.8 0 3144 66 75 89 104 114 (Rupture)