A bar 40 mm in diameter is subjected to a tensile force of 40,000 kg . The extension of bar measured over a gauge length of 200 mm was 0.318 mm. The decrease in diameter was found to be 0.02 mm. Calculate values of Young's modulus of elasticity and modulus of rigidity of the material.
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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.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.During laboratory testing of an 8-inch aluminum-alloy rod with a cross sectional area of 0.32in, a tensile load of 40,000 lbs.is applied. If the cross sectional area decreases to 0.3188in and lengthens to 8.021 inches, what is the Modulus of Elasticity and Poisson's Ratio? 29. E= 6/8 v =-ɛ(lateral)/E(axial)
- ) Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled in tension. (a) Determine its elongation when a load of 20,000 N is applied. (b) What is the modulus of elasticity? (c) What is the strength at a strain offset of 0.002? (d) What is the tensile strength?A cylindrical bar of steel 9.9 mm (0.3898 in.) in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of 3.0×10-3 mm (1.181 ×10-4 in.) in the diameter. For steel, values for the elastic modulus (E) and Poisson's ratio (v) are, respectively, 207 GPa and 0.30. i NThe rectangular block shown in Figure is subjected to tension within the elastic range. The increase in the length of a is 2 * 10-3in. and the contraction of b is 3.25 * 10-4 in. If the original lengths of a and b were 2 in. and 1 in., respectively, what is Poisson’s ratio for the material of the specimen?
- The (G-E) diagram obtained in the tensile test performed on a metal sample with a diameter of 16 mm is as follows. The loads at points A, B and C and the elongation measured on l. 16 cm gauge length were determined as follows: B A B C Load (kgf) 4800 8400 7200 Elongation (mm) 0.192 28.8 38.4 a) Calculate the proportionality limit, modulus of elasticity, tensile strength, maximum uniform elongation, and contraction-elongation ratio of the metal. b) Since the measured diameter of the metal at break is 12 mm, find the constriction ratio and the actual stress at break.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 brass alloy rod having a cross sectional area of 0.24 in.2and a modulus of 16 * 106 psi is subjected to a tensile load. Plastic deformation was observed to begin at a load of 8,944 lb.a. Determine the maximum stress that can be applied without plastic deformation.b. If the maximum length to which a specimen may be stretched without causing plastic deformation is 3.28 in., what is the original specimen length?
- Determine the modulus of Elasticity E for a material that has proportional stress of 100 MPa and proportional strain of 0.001. Select one: a. 1 GPa b. 100 GPa C. 0.1 MPa d. 1000 kPa2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answerA steel rod, 12mm in diameter and 150mm long was subjected to a tensile test. After the test, the length increases to 150.40mm. The material remains within the linear elastic region and its modulus of elasticity is 200,000 MPa. Determine the force, in Newton (N), applied to the test.