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Problem 1 (50 points) Stress Strain Curve Three steel bars with a diameter of 0.5 in, and carbon content 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 the table below 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 stress-strains for all specimens on same graph C. Determine the 0.2% offset yield strength for each specimen d. The proportional limit for each specimen. e. The modulus of elasticity of each specimen. f. The strain at rupture for each specimen g. The ultimate strength for each specimen. h. The modulus of resilience for each specimen. i. The modulus of toughness for each specimen j. Comment on the effect of increasing the carbon content on the yield strength, modulus of elasticity and ductility Specimen No Carbon Content (%) Deformation (in.) 0.000 0.003 0.004 0,006 0.020 0.040 0.100 0.200 0.300 0.400 0.500 0.550 | 0.2 0.5 0.8 Loads (ki 0 31 31 32 34 32 46 47 46 75 89 104 114 (Rupture) 46 52 68 78 79 71 (Rupture 51 46 (Rupture
0 0
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dia of bars 0.5 in gauge lengtin 0.1963 in2 area specimen deformation in 2 strain loads(kips) stresses(kip/in2) 0 0 0 0 0 0 0 0 31 157.9215 157.9215 157.9215 0.0030.001531 313 0.004 0.006 .00333 466 0.02 0.01 34477 44 44 163.0158 224.1467 224.1467 0.002 32 66168.11 234.3352 336.2201 75 173.2043 239.4294 382.0683 89163.0158234.3352453.3877 104 183.3928 280.1834 529.8013 114 234.3352 346.4086580.7438 0.02 0.05 0.1 0.15 0.2 0.25 0.275 32 36 46 52 56 51 46 46 0.04 0.1 0.2 0.3 0.4 0.5 0.55 68 78 79 71 264.9007397.351 285.2776 402.44520 0 이 259.8064 361.69131 234.3352specimen 2 500 450 400 350 300 250 200 150 Series specimen 2 Point 0.25 (0.25, 361.6912888 specimen 100 50 0 0.05 0.1 0.150

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