Problem 8: The following load elongation data were recorded during the tensile testing of a copper bar measuring 0.505 in. (0.0128 m) in diameter, with a gauge length of 2 in. (0.0508 m). a. What is the value of Young's modulus? b. What is the yield stress? c. What is the ultimate tensile stress?
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- A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1 2 inch. The gage length (the length over which the elongation is measured) is 2 inches. For a load 13.5 kips, the elongation was 4.6610 3 inches. If the load is assumed to be within the linear elastic rang: of the material, determine the modulus of elasticity.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.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.
- A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?A tensile test was performed on a metal specimen with a diameter of 1⁄2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The data were plotted on a load-displacement graph, P vs. ∆L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P y∆L 5 1392 kips yin. What is the modulus of elasticity?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 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.A cylindrical brass specimen having a diameter of 1.10 cm and initial gage length of 4.04 cm is subjected to tensile strength test. The load-deformation values are given in the below table. The final length and final diameter of the specimen were measured as 4.33 cm and 0.92 cm, respectively. Complete the below table and plot true stress-true strain diagram and determine. Yield strength at 0.2 % off-set method. Poisson’s ratio of the material at 135 kN load (assume that there is no volume change) If the material were unloaded from 175 kN, what would be its final length? 1 nm=1*10-9 m, 1 0A=10-10 mThe 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.
- PROBLEM 3A tensile test is performed on a brass specimen 10mm in diameter using a gage length of 50mm. When the tensile load P reaches a value of 20kN, the distance between the gage marks has increased by 0.122 mm. What is the modulus of elasticity? Note: Please show complete solution with FBDA metal specimen with 20 mm diameter and 100 mm gauge length is loadedelastically with 5 kN and elongates 0.8 mm. Its diameter under this load is 19.95 mm. Calculate:a) the Bulk Modulus, Kb) the Shear Modulus, GA tensile test was conducted on a mild steel bar for construction application in Falcon company’sEngineering Materials lab. The following data was obtained from the test(i) diameter of the steel bar = 3cm(ii) Gauge length of the bar = 20 cm(iii) Load at elastic limit = 250 kN(iv) Extension at a load of 150kN = 0.21 mm(v) failure load = 380 kN(vi) Total extension = 60 mm(vii) diameter of the rod at failure = 2.25 cmDetermine (a) Young’s Modulus, (b) Stress at elastic limit, (c) percentage of elongation,(d) Percentage of decrease in area (d) failure stress