4. Data taken from a stress-strain test for a specimen having an original diameter of 0.5" and a gauge length of 2" is given in the following table. The curve is linear between the origin and the first point. Plot the diagram, and determine: a. Young Modulus b. The load on the specimen that causes yielding c. The ultimate load that the specimen will support and ultimate stress. Load (kip) 0 6.52 8.93 9.70 10.11 10.49 10.21 ? (in) 0 0.0012 0.0020 0.0028 0.0036 0.0044 0.0050
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Stress is defined as the load divided by the original cross-sectional area, and strain is defined as the change in length divided by the original length. First, let's calculate the stress and strain values using the given data: Load (kip) Strain (in) 0 Show more…
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A tensile test specimen with a diameter d = 11.28 mm and a gage length of l = 50 mm was tested and the provided data was measured. Plot the stress strain curve and use it to find the following: (a) the elastic modulus, (b) the proportional limit, (c) the ultimate stress, (d) the ultimate strain, (e), the yield stress (0.2% offset), the failure stress, and (f) the true failure stress if the final diameter of the specimen at the location of the fracture was 9.50 mm. Load (kN) | Change in Length (mm) | Load (kN) | Change in Length (mm) 0 | 0 | 43.8 | 1.50 7.6 | 0.02 | 45.8 | 2.00 14.9 | 0.04 | 48.3 | 3.00 22.2 | 0.06 | 49.7 | 4.00 28.5 | 0.08 | 50.4 | 5.00 29.9 | 0.10 | 50.7 | 6.00 30.6 | 0.12 | 50.4 | 7.00 32.0 | 0.16 | 50.0 | 8.00 33.0 | 0.20 | 49.7 | 9.00 33.3 | 0.24 | 47.9 | 10.00 36.8 | 0.50 | 45.1 | Fracture 41.0 | 1.00
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A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gauge length of 2.00 in. The data is listed in the table. Plot the stress-strain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the rupture stress. Use a scale of 1 in. $=20$ ksi and 1 in. $=0.05$ in. / in. Redraw the elastic region, using the same stress scale but a strain scale of 1 in. $=0.001$ in. $/$ in. $$\begin{array}{c|l}\hline \text { Load (kip) } & \text { Elongation (in.) } \\\hline 0 & 0 \\1.50 & 0.0005 \\4.60 & 0.0015 \\8.00 & 0.0025 \\ 11.00 & 0.0035 \\11.80 & 0.0050 \\11.80 & 0.0080 \\12.00 & 0.0200 \\16.60 & 0.0400 \\20.00 & 0.1000 \\21.50 & 0.2800 \\19.50 & 0.4000 \\18.50 & 0.4600 \\\hline\end{array}$$
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In a tension test, a steel specimen (ASTM-A36) with a Young's modulus of elasticity E = 220 GPa and gauge length L0 = 44 mm has been tested. The information gained from the experiment is as follows: Yield stress: σ = 340 MPa Onset of necking: σ = 380 MPa Fracture point: σ = 290 MPa Final length: Lf = 49 mm Original diameter d0 = 2 mm Poisson's ratio ν = 0.3 a. Draw the engineering stress/strain curve. b. Calculate the engineering strain at fracture. c. Calculate the engineering strain at the yield point. d. Estimate toughness. e. What is the diameter of the specimen just before necking started? f. What is the maximum real load carried by the specimen?
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