The following data were obtained from the tensile test of Aluminum alloy. The initial diameter of test specimen was 0.505 inch and gauge length was 2.0 inch. Plot the stress strain diagram and determine (a) Proportional Limit (b) Modulus of Elasticity (c) Yield Stress at 0.2% offset (d) Ultimate Stress and (e) Nominal Rupture Stress. Load (Ib) Elongation (in.) Load (Ib) Elongation (in.) 14 000 0.020 2310 0.0022 14400 0.025 4640 0.0044 14 500 0.060 6950 0.0066 14 600 0.080 9 290 0.0088 14 800 0.100 11 600 0.0110 14 600 0.120 13 000 0.0150 13 600 Fracture
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- The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
- The following data were obtained from the tensile test of Aluminum alloy. The initial diameter of testspecimen was 0.505 inch and gauge length was 2.0 inch. Plot the stress strain diagram and determine(a) Proportional Limit (b) Modulus of Elasticity (c) Yield Stress at 0.2% offset (d) Ultimate Stress and(e) Nominal Rupture Stress.An aluminum alloy bar with a radius of 7 mm was subjected to tension until fracture and produced results shown in Table P4.3. a. Using a spreadsheet program, plot the stress–strain relationship. b. Calculate the modulus of elasticity of the aluminum alloy. c. Determine the proportional limit. d. What is the maximum load if the stress in the bar is not to exceed the proportional limit? e. Determine the 0.2% offset yield strength. f. Determine the tensile strength. g. Determine the percent of elongation at failure.A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (lo) of 50.800 mm is pulled in tension. Use the load–elongation characteristics shown in the following table and answer the following questions. (10p) i- Convert the data as engineering stress (σ) versus engineering strain (ε). ii- Compute the modulus of elasticity (E) (with a precision of ±5000 MPa) iii- Determine the yield strength at a strain offset of 0.002 (σy) (with a precision of ±20 MPa) iv- Determine the tensile strength (TS) of this alloy.
- An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a compressive load of 220 kN. Assume that the mate-rial is within the elastic region and a modulus of elasticity of 75 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33?b. What will be the diameter after load application?c. What will be the height after load application?A high-yield-strength alloy steel bar with a rectangular cross section that has a width of 37.5 mm, a thickness of 6.25 mm, and a gauge length of 203 mm was tested in tension to rupture, according to ASTM E-8 method. The load and deformation data were as shown in Table Using a spreadsheet program, obtain the following:a. A plot of the stress–strain relationship. Label the axes and show units.b. A plot of the linear portion of the stress–strain relationship. Determine modulus of elasticity using the best-fit approach.c. Proportional limit.d. Yield stress.e. Ultimate strength.f. If the specimen is loaded to 155 kN only and then unloaded, what is the permanent deformation?g. In designing a typical structure made of this material, would you expect the stress applied in (f) safe? Why?A cylindrical specimen of stainless steel having an initial diameter of 12.8?? and initial length of 50.8?? is pulled in tension. Use the data provided below to a) Plot the data as engineering stress versus engineering strain using excel or similar software. b) Compute the modulus of elasticity. c) Determine the yield strength at a strain offset of 0.002. d) Determine the tensile strength of this alloy. e) What is the approximate ductility, in percent elongation? f) Compute the modulus of resilience. Load (?) Length (??) 0 50.800 12,700 50.825 25,400 50.851 38,100 50.876 50,800 50.902 76,200 50.952 89,100 51.003 92,700 51.054 102,500 51.181 107,800 51.308 119,400 51.562 128,300 51.816 149,700 52.832 159,000 53.848 160,400 54.356 159,500 54.864 151,500 55.880 124,700 56.642 Fracture
- A round steel bar with a diameter of 12mm and a gauge length of 0.5 mm was subjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data were as shown in Table. Using a spreadsheet program obtain the following: A plot of the stress–strain relationship. Label the axes and show units. A plot of the linear portion of the stress–strain relationship. Determine modulus of elasticity using the best fit approach. Proportional limit. Yield stress. Ultimate strength. When the applied load was 18kN, the diameter was measured as12.7mm Determine Poisson’s ratio. After the rod was broken, the two parts were put together and the diameter at the neck was measured as 10.6 mm. What is the true stress value at fracture? Is the true stress at fracture larger or smaller than the engineering stress at fracture? Why? Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why?A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1/2 inch. the gage lenght ( the lenght over which the elongation is measured ) is 2 inches. for a load 13.5 kips, the elongation was 4.66x10^-3 inches. if the load is assumed to be with in the linear elastic range of the material , determine the modulus of elasticityA cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table to answer the following: a. Plot the data as engineering stress versus engineering strain. b. Compute the modulus of elasticity. 66 c. Determine the yield strength at a strain offset of 0.002. d. Determine the tensile strength of this alloy. e. What is the approximate ductility, in percent elongation? f. Compute the modulus of resilience