An aluminum alloy cylinder with a diameter of 76 mm and a height of150 mm. is subjected to a compressive load of 220 kN. Assume that the material 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?

An aluminum alloy cylinder with a diameter of 76 mm and a height of150 mm. is subjected to a compressive load of 220 kN. Assume that the material 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?

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter14: Material Selection

Section: Chapter Questions

Problem 8ETSQ

See similar textbooks

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
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 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.
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.
An aluminum alloy cylinder with a diameter of 3 in. and a height of 6 in. is subjected to a compressive load of 50,000 pounds. Assume that the material is within the elastic region and a modulus of elasticity of 11 * 106 psi. 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 wood beam is strengthened using two steel plates as shown in the figure below. *Inserted Photo* The beam has simple supports and an overhang and is subjected to a point load and a uniform load as shown in the figure below. Calculate the maximum tensile and compressive stresses of the beam. Assume that Ew = 11 GPa and Es = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention.) maximum tensile stress in wood ? MPa maximum tensile stress in steel ? MPa maximum compressive stress in wood ? MPa maximum compressive stress in steel ? MPa
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
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 steel pipe having a length of 3 ft, an outside diameter of 5 in., and a wall thickness of 1/2 in. is subjected to an axial compression of 50,000 lb. Assuming a modulus of elasticity of 30 * 106 psi and a Poisson’s ratio of 0.27, finda. the shortening of the pipe,b. the increase in the outside diameter, andc. the increase in the wall thickness.
A composite column is formed by placing a steel bar 20 mm diameter and 200 mm long, inside an alloy cylinder of the same length whose internal and external diameters are 20 mm and 25 mm respectively. The column is then subjected to an axial load of 50 kN. Modulus of elasticity for steel and alloy is 200000MPa and 70000MPa respectively. Which of the following gives the stress in the steel bar? a. 132.98 MPa b. 46.54 MPa c. 74.80 MPa d. 166.23 MPa
An aluminum alloy rod has a circular cross section with a diameter of 8 mm. This rod is subjected to a tensile load of 4 kN. Assume that the material is within the elastic region and E = 69 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33? b. What will be the diameter after load application?