Determine the Poisson's ratio v.
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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.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 with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?
- A test conducted on a steel bar whose cross section is 0.5 in. by 4 in. is performed. Anaxial load of P = 30,500 lb. produced a deformation of 0.00103 in. over a gauge lengthof 2 in. and a decrease of 0.000078 in. in the 0.5-in. thickness of the bar. Determinea. Poisson’s ratio,b. the elastic modulusc. the decrease in the 4-in. cross-sectional dimension.Situation 1: A rigid bar ABC weighs 10 kN/m. The compressive stress of the copper bar is 20 MPa. Answer the following questions: 3m B 2 m Copper L=3m A = 1500 mm² Brass C L = 2 m A = 1200 mm² A. What is the stress of the brass bar? Indicate if it will experience tension (T) or compression (C) (MPa) B. What is the minimum required diameter of the pin at A assuming that the pin connection is in double shear? Consider the allowable shearing stress of the pin as 15 MPa. Round your answer in a multiple of 5. (mm)A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).
- At the proportional limit, the axial load of a 0.70-in-diameter bar was 5400 lb. A 2.20-in. gauge length on the bar has increased by 0.0040 inch. a) Determine the strain in the bar.b) Determine the elastic modulus (in ksi)A load P is applied to a steel component which is supported an aluminum plate into which a 12 mm diameter hole has been drilled. Knowing that the maximum allowable shearing stress is 86.5 MPa in the steel and 160 MPa in the aluminum plate, determine the largest load which may be applied to the steel component. Provide your answer in kN with precision to two decimal points. 10 mm Answer: 12 mm 40 mm P 8 mmThe aluminum bar ACDB is rigidly connected to a steel tube in CD. The data is presented in the table. If the load P is equal to 125 kN, determine: The stress of aluminum in segment AC. Answ: 63.66 MPa The stress of aluminum in segment CD. Answ: 13.93 MPa The stress in steel in segment CD. Answ: 39.79 MPa The total deformation of the bar. Answ: 0.29273 mm
- y 400 mm 4 mm B 200 mm A 6 mm The rectangular plate is subjected to the deformation shown by the dashed line. Determine the average shear stress in the plate if the shear modulus of the material is 2 MPa. Express your answer in kPa and round it to the nearest integer if necessary.An aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm? A = 400mm? A - 200mm 40KN 10KN 20KN 2.5m 2.0m 1.5m3. Find the thickness of a cast iron cylinder 250 mm in diameter to carry a pressure of 0.7 N/mm2. Take maximum tensile stress for cast iron as 14 MPa. [Ans. 6.25 mm]