A steel solid is subjected to following set of principal stresses: o1 = 300 MPa and o2 = 250 MPa. Assuming u = 0.25 and elasticity modulus as 2 x 10° MPa, calculate the strain energy per unit volume in N-mm. (Round off to 2 decimals places).
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- 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 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.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 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.On the stress-strain diagram of a steel bar, show and explain the following: proportional limit, yield stress, ultimate stress, yield strain, and 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 10.0 mm diameter cylindrical specimen of a bearing bronze material is pulled under uniaxial tension with a force of 1500 N. The diameter of the bar reduces by 0.67 mm. Compute the modulus of elasticity for this material given that it’s Poisson’s ratio,n, is 0.35.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 ? MPaConsider a rectangular specimen of aluminium has a dimension of 10 ?? × 12.7 ?? is pulled in tension with 35500 N. Calculate the resulting strain. Given the modulus of elasticity is 69 × 103??? and assume that the deformation is elastic.
- Show Stress/ strain curve for nitinol and steel (2 separate charts please)Steel cylinder has 200 mm mean diameter with a wall 1 mm thick and 310 mm long. Determine the circumferential and longitudinal stresses that occur on the cylinder if the maximum pressure difference allowed between the inside and outside must not exceed 100 MPa. Determine the effects of three dimensional loading by determine volumetric strain and change in volume for the first steel cylinder. Modulus of elasticity E= (210 GPa), Poisson's ratio 0.30. 7An 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?