Problem 6 Diameter of the metal bar, before and after load application was measured to be 100.00 mm and 99.99 mm, respectively. What is the Poisson's ratio of the bar material, if deformation is linearly elastic (E = 60 GPa), and P = 140 kN? [d
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- 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.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.
- At the limit of proportionality, a bar 30 mm wide (w) and 12 mm thick (t) elongates 2.0 mm under an axial load of 41.5 kN. The bar is 1.5 m long. If the Poisson's coefficient of the material is 0.33, determine: (a) the modulus of elasticity. E = ? (b) the variation in width. dw = ? (c) variation in thickness. dt = ?A steel pipe of length L =7.0 ft, outside diameter d2 = 6.0 in., and inside diameter d1 = 4.5 in. is compressed by an axial force P 140 kN. The material has modulus of elasticity E = 30,000 ksi and Poisson's ratio v = 0.30. Determine the following quantities for the pipe: (a) the shortening (delta) (b) the lateral strain E' , (c) the increase Ad2 in the outer diameter and the increase Ad1 in the inner diameter, and (d) the increase At in the wall thickness.A flat bar with a cross section of 8 mm by 50 mm elongates 2.1 mm in a length of 1.5 m as a result of an axial load of 50 kN. The proportional limit of the material is 240000 KN/sq m. Determine the axial stress in the bar and the modulus of elasticity
- A tensile force of 20 kN is applied to a specimen with a gage length of 50mm. It isthen noted that the distance between the gage marks became 50.122mm. a,) What isthe modulus of elasticity of the specimen if its diameter is 10mm? b.) What is the axialstress of the specimen? Solution must have Free Body Diagram/drawing.Note: Give me right solution according to the question. If any data missing assume that. A wheel applies 40 kN load on a semi-infinite elastic space as shown in Figure. The modulus of elasticity of the material is 150 MPa and the Poisson’s ratio is 0.38. Assume the load is applied on the surface as a concentrated force. The vertical deformation at a depth of 500 mm at the centerline of the wheel is most nearly: 0.64 mm 0.07 mm 0.41 mm 0.26 mmA 3-m long steel plate having a cross-section of 25 mm x 300 mm is used as a hanger and subjected to a tensile load of 1070 kN. Poisson’s Ratio = 0.25 and E = 200 000 MPa. Compute the lateral strain. Express your answers in 6 decimal places.
- A steel pipe of length L = 4.0 ft, outside diameter = 6.0 in., and inside diameter = 4.5 in. is compressed by an axial force P kips. The material has modulus of elasticity E = 30,000 ksi and Poisson’s ratio υ = 0.30. Determine the following quantities for the pipe: (a) the shortening, (b) the lateral strain (c) the increase in the outer diameter and the increase in the inner diameter, and (d) the increase in the wall thickness. (Where P is equal to 51kips)A rod of diameter 50 cm and length 6 m is hanging vertically and carries an axial loadof 10 kN at bottom end. Calculate the elongation of the bar at a distance 2 m from thebottom end. Take the unit weight of the rod material is 25 kN/m' and modulus ofelasticity of the material is 3x109 MPa.A hollow cylinder with an OD of 100mm and an ID of 30mm, supports a load of 100kN. What is the compressive stress in MPa?.............I know stress=p/a , but I am not sure how to find the height in order to calculate the area or if there would be another way of doing it ?