Two bars of different materials and same size are subjected to the same tensile force. If the bars have unit elongation in the ratio 2 : 5, then the ratio of modulus of elasticity of the two materials will be (b) 5: 2 (d) 3:4 (a) 2:5 (c) 4 :3
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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.What is the value of reduction factor of the beam, if the stress in the steel is 400 MPa, and the Modulus of Elasticity of the Steel is 200,000 MPa. O 0.671 0.692 O 0.660 O 0.650 None of the Choices O 0.681A flat bar of aluminum alloy 25 mm wide and 5 mm thick is placed between two steel bars each 25 mm wide and 10 mm thick to form a composite bar 25 mm x 25 mm as shown. The three bars are fastened together at their ends when the temperature is 15℃. Find the stress in each of the materials when the temperature of the whole assembly is raised to 55 ℃.Steel: Es = 200 GPa; Coefficient of expansion = 1.2x10^-5/℃.Aluminum: Eal = 200/3 GPa; Coefficient of expansion = 2.3x10-5/℃.
- 8. If the modular ratio is equal to 11, and the Modulus of Elasticity of the Steel is 200,000 MPa. What is the value of fc'?A steel rod with length equal to 7.5 ft, has a diameter of 0.78 inches in quarter of its length and a diameter of 0.38 inches the rest. If it is subjected to a tensile load of 6,000 lbs, what will be the tótal deformation of the bar if it has a modulus of elasticity E= 28.5 x 10^6 psi. %3D O 0.1378 inches O 0.1338 inches O 0.1352 inches O 0.1364 inches O 0.1423 inches5. A bronze bar is fastened between a steel bar and an aluminum bar as shown in Figure 5. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Steel A = 480 mm² 1.0 m Bronze A = 650 mm² 3P 4P 2.0 m FIGURE 5 Aluminum A = 320 mm² 1.5 m 2P
- What is the value of reduction factor of the beam, if the stress in the steel is 400 MPa, and the Modulus of Elasticity of the Steel is 200,000 MPa.A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with force of 40,000 N. If the deformation is totally elastic, what is the strain experienced by the specimen? O 0.00463 O 0.00116 O 0.0029 O 0.01350A specimen of steel 20 mm diameter with a gauge length of 200 mm is tested to destruction. It has an extension of 0.25 mm under a load of 80 kN and the load at elastic limit is 102 kN. The maximum load is 130 kN. The total extension at fracture is 56 mm and diameter at neck is 15 mm. Find . The stress at elastic limit. • Young's modulus. . Percentage elongation. Percentage reduction in area. Ultimate tensile stress. .
- 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?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 5KN 0.6m A 20KN 3) What is the deformation &cn in mm? A=800 mm? A=1,200 mm²Problem 2: A bronze bar is fastened between a steel bar and an aluminum bar as shown. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Steel Bronze 480 mm² 650 mm² 3P 1.0 m 4P 2.0 m Aluminum 320 mm² 1.5 m 2P