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- 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 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 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 test conducted on a steel bar whose cross section is 0.5 in. by 4 in. is performed. Anaxial load of P = 30,500 lb. produced a deformation of 0.00103 in. over a gauge lengthof 2 in. and a decrease of 0.000078 in. in the 0.5-in. thickness of the bar. Determinea. Poisson’s ratio,b. the elastic modulusc. the decrease in the 4-in. cross-sectional dimension.The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021A load P is applied to a steel component which is supported an aluminum plate into which a 12 mm diameter hole has been drilled. Knowing that the maximum allowable shearing stress is 86.5 MPa in the steel and 160 MPa in the aluminum plate, determine the largest load which may be applied to the steel component. Provide your answer in kN with precision to two decimal points. 10 mm Answer: 12 mm 40 mm P 8 mm
- Shown is a copper bar which has a diameter of 10 mm and loaded by tensile loadP = 0.0137 MN The maximum shear stress in the bar is approximately: Match each item to a choice: Tmax1.5-7 The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2 in.² in area and a gage length (the length over which the elongation is measured) of 2.000 inches. d. Estimate the value of the proportional limit. e. Use the 0.2% offset method to determine the yield stress. Load (kips) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 ܩܙ ܘ 5.5 6.0 6.5 Elongation × 10³ (in.) 0 0.160 0.352 0.706 1.012 1.434 1.712 1.986 2.286 2.612 2.938 3.274 3.632 3.976 Load (kips) 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13 Elongation × 10³ (in.) 4.386 4.640 4.988 5.432 5.862 6.362 7.304 8.072 9.044 11.310 14.120 20.044 29.106A line is inscribed on a 3 mm thick steel alloy plate with an elastic modulus E = 200 GPa and shear modulus G = 70 GPa. The plate is then loaded as shown below. 2a) Determine the slope of the line after the plate has been loaded 2b) Determine the reduction in thickness of the plate (in mm) under the applied loads 2c) If the plate has a yield stress = 300 MPa, determine the factor of safety against failure according to the Maximum Normal Strain (St. Venant's) Criterion Steel Alloy Plate: y line 250 mm k Į 50 kN 70 mm ↑ 70 mm 100 KN 125 mm
- PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN. 0.8m 0.4m B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.51.5-6 The data shown in the table were obtained from a tensile test of a metal specimen with a diameter of 0.500 inch and a gage length (the length over which the elongation is measured) of 2.00 inches. The specimen was not loaded to failure. d. Estimate the value of the proportional limit. e. Use the 0.2% offset method to determine the yield strength. Elongation (in.) Load (kips) 872236 DIN 2.5 3.5 5 7 8 9 10 11.5 12 0 0.0010 0.0014 0.0020 0.0024 0.0036 0.0044 0.0050 0.0060 0.0070 0.0080 0.0120 0.0180