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# HW7_ENMA300 - that will produce an elastic reduction of...

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Prof. Rabin: ; X53382; CHE 1110B ENMA 300: Problem Set #7 Date Posted: Thr 10/21/10 Time Due: Thr 10/28/10 5PM. Dislocations 1. A metal crystal has a Burgers vector of length 0.272nm. If the lattice parameter a is 0.314, is the metal crystal structure FCC or BCC? 2. In a simple cubic crystal with lattice parameter of 0.25nm, a tilt boundary is formed with an angle of 2.5º. What is the concentration of dislocations in the tilt boundary? Mechanical Properties 3. Callister 7.5 using figure 7.33. Consider a cylindrical specimen of a steel alloy 8.5mm in diameter and 80mm long that is pulled in tension. Determine its elongation when a load of 65250N is applied. 4. Using figure 7.33 determine the Young’s modulus, the yield strength, the tensile strength and the ductility of the steel alloy. 5. Callister 7.8. A cylindrical bar of aluminum 19mm in diameter is to be deformed elastically by application of a force along the bar axis. Using the data in Table 7.1, determine the force

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Unformatted text preview: that will produce an elastic reduction of 2.5E-3mm in the diameter. 6. Calculate the shear modulus of aluminum from the values of its Young’s modulus and Poisson’s ratio. Is it close to the experimental value? Questions for thought: 1) A rod, 1 cm in diameter, is made of three segments: 30cm Cu, 30cm Al, 30cm Cu. What is approximately the effective Modulus of Elasticity of the piece? Use data from book. Plot the stress-strain curve for the structure in the elastic regime vs those of Cu and Al. 2) Determine the Burgers vector at two points of a dislocation loop in the (001) plane of a simple cubic lattice, where the dislocation loop encloses an extra portion of the plane (an island). Page 1 of 2 Prof. Rabin: [email protected] ; X53382; CHE 1110B Page 2 of 2 3) Same as before, except where the dislocation loop encloses a missing portion of the plane (a circular cluster of vacancies)....
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HW7_ENMA300 - that will produce an elastic reduction of...

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