The stress-strain diagram for a ductile material is determined by a tensile test and shown in...
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The stress-strain diagram for a ductile material is determined by a tensile test and shown in the figure below. The original diameter of the specimen is measured to be 0.25 in and the original reference (gage) length is 4 in. From this information, calculate approximate values of the (a) elastic modulus (b) yield stress (i.e., find the stress that causes 0.2% permanent deformation after stress is relaxed) (c) applied force when yielding begins, and (d) the ultimate stress. If a different specimen of the same material is loaded until a strain of 0.0035 in/in is reached and then the specimen is completely unloaded, calculate the approximate amount of (e) elastic strain that is recovered and (f) the plastic strain that remains. As part of showing your work for (a)-(f), draw on the graph (or a sketch of the graph) and/or explain your process of interpreting the graph. (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 & (in./in.) The stress-strain diagram for a ductile material is determined by a tensile test and shown in the figure below. The original diameter of the specimen is measured to be 0.25 in and the original reference (gage) length is 4 in. From this information, calculate approximate values of the (a) elastic modulus (b) yield stress (i.e., find the stress that causes 0.2% permanent deformation after stress is relaxed) (c) applied force when yielding begins, and (d) the ultimate stress. If a different specimen of the same material is loaded until a strain of 0.0035 in/in is reached and then the specimen is completely unloaded, calculate the approximate amount of (e) elastic strain that is recovered and (f) the plastic strain that remains. As part of showing your work for (a)-(f), draw on the graph (or a sketch of the graph) and/or explain your process of interpreting the graph. The stress-strain diagram for a ductile material is determined by a tensile test and shown in the figure below. The original diameter of the specimen is measured to be 0.25 in and the original reference (gage) length is 4 in. From this information, calculate approximate values of the (a) elastic modulus (b) yield stress (i.e., find the stress that causes 0.2% permanent deformation after stress is relaxed) (c) applied force when yielding begins, and (d) the ultimate stress. If a different specimen of the same material is loaded until a strain of 0.0035 in/in is reached and then the specimen is completely unloaded, calculate the approximate amount of (e) elastic strain that is recovered and (f) the plastic strain that remains. As part of showing your work for (a)-(f), draw on the graph (or a sketch of the graph) and/or explain your process of interpreting the graph. (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 & (in./in.) (ksi) 80 70 60 50 40 30 20 10 0 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035 & (in./in.)
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a The elastic modulus can be determined from the stressstrain curve as the slope of the linear elast... View the full answer
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