A tensile test was conducted on a specimen with a diameter of 0.5 in. A strain gage was bond pecimen so that the strain could be obtained directly. The following data were obtained: Load (lb) 2000 2500 3000 3500 4000 4500 5000 Strain 0.000047 0.000220 0.000500 0.000950 0.001111 0.001200 0.001702 reate a table of stress and strain values lot these data point, and draw a best-fit straight line through them That is the slope of this line? What does this value represent?
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- The tensile test was conducted on a specimen with a diameter of 0.5 inch. A strain gage was bonded to the specimen so that the strain could be obtained directly. The following data were obtained. a) create a table of stress and strain values. Plot this data points and draw the best fit straight line through them. b) what is the slope of this line? What does this value represent?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.1.5-7 The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2 in.² in area and a gage length (the length over which the elongation is measured) of 2.000 inches. 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. Load (kips) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 50 6.0 6.5 Elongation × 10³ (in.) 0 0.160 0.352 0.706 1.012 1.434 1.712 1.986 2.286 2.612 2.938 3.274 3.632 3.976 Load (kips) 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13 Elongation × 10³ (in.) 4.386 4.640 4.988 5.432 5.862 6.362 7.304 8.072 9.044 11.310 14.120 20.044 29.106
- A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad EB = 275 μrad Ec = 325 prad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. b 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. I XThe (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 c) Calculate the fracture work and the maximum elastic energy the metal rod can store. d) Find the cross-sectional area of a 6 m long rod made of this metal such that it can carry 12 tons of load with 2 times the safety of yield strength. How long does the rod extend under this load?The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross-section of 0.2 in.? in area and a gage length (the length over which the elongation is measured) of 2.000 inches. 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.
- During tensile testing, you forgot to measure the change in the longitudinal dimension of the sample. However, you have managed to measure change in the cross-sectional area with time. With this information alone, will you be able to estimate the true strain exhibited by the material at a given time t. How accurate would such estimation be?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?A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mm
- A model of reinforcing steel bars, which was given a tensile strength of 45150 N, elongated by 2.1 mm, cross-strain was 0.00056, boson ratio 0.32 and modulus of elasticity 200000MPa. Find the original length and cross-sectional area of the model, assuming that the stress did not exceed the elastic limit.Stress-strain plot for a metal is given below. Determine the following: a) Modulus of elasticity. b) Yield strength by 0.2% off-set method. c) Tensile and fracture strengths. d) Maximum load that can be sustained by a cylindrical specimen having an original diameter of 15.3 mm. e) If a specimen having an original length of 320 mm and elongation is measured as 2.56 mm, determine the applied stress. 450 400 350 300 250 200 150 100 50 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 Strain Stress (MPa)A tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.