Problem 8: The following load elongation data were recorded during the tensile testing of a copper bar measuring 0.505 in. (0.0128 m) in diameter, with a gauge length of 2 in. (0.0508 m). d. What is the percentage elongation at fracture? e. Calculate true stress-true strain values up to onset of necking.
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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.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.
- 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 data 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 y∆L 5 1392 kips yin. What is the modulus of elasticity?A hot rolled steel tension test sample has a diameter of 6 mm and the original gage length of 30 mm. In a test to fracture, the stress and strain data below were obtained. Determine Generic Strain Value, %0.2 offset strain, and Calculated stress at %0.2 offset. Original diameter - 6mm Original Length - 30 mm Fracture diameter - 4.54 mmA cylindrical brass specimen having a diameter of 1.10 cm and initial gage length of 4.04 cm is subjected to tensile strength test. The load-deformation values are given in the below table. The final length and final diameter of the specimen were measured as 4.33 cm and 0.92 cm, respectively. Complete the below table and plot true stress-true strain diagram and determine. Yield strength at 0.2 % off-set method. Poisson’s ratio of the material at 135 kN load (assume that there is no volume change) If the material were unloaded from 175 kN, what would be its final length? 1 nm=1*10-9 m, 1 0A=10-10 m
- PROBLEM 3A tensile test is performed on a brass specimen 10mm in diameter using a gage length of 50mm. When the tensile load P reaches a value of 20kN, the distance between the gage marks has increased by 0.122 mm. What is the modulus of elasticity? Note: Please show complete solution with FBDThe breaking strength of a 15.0 mm diameter bar was 540 MPa and the cross-sectional diameter after rupture was measured as 12.3 mm. Calculate the ductility in percent shrinkage and the actual stress at break.DURING THE STRESS-STRAIN TEST, THE UNIT DEFORMATION AT A STRESSOF 30 MPa WAS OBSERVED TO BE 110 x 10-6 mm/mm AND AT A STRESS0F 130 MPa IT WAS 520 X 10-6 mm/mm. IF THE PROPORTIONAL LIMITWAS 250 MPa, WHAT IS THE MODULUS OF ELASTICITY? WHAT IS THESTRAIN CORRESPONDING TO A STRESS OF 150 MPa?
- A metal specimen with 20 mm diameter and 100 mm gauge length is loadedelastically with 5 kN and elongates 0.8 mm. Its diameter under this load is 19.95 mm. Calculate:a) the Bulk Modulus, Kb) the Shear Modulus, GTensile test data for wires, used to support the beam, is shown in table-1. Gauge length during tensiontest was kept 20mm and the diameter of wire was 8mm. Draw the stress-strain diagram at suitable scalefor given data and determine the yield strength, ultimate strength, modulus of elasticity, modulus oftoughness and modulus of resilience.A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (lo) of 50.800 mm is pulled in tension. Use the load–elongation characteristics shown in the following table and answer the following questions. (10p) i- Convert the data as engineering stress (σ) versus engineering strain (ε). ii- Compute the modulus of elasticity (E) (with a precision of ±5000 MPa) iii- Determine the yield strength at a strain offset of 0.002 (σy) (with a precision of ±20 MPa) iv- Determine the tensile strength (TS) of this alloy.