Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 1, Problem 43QTP
To determine
The unit cells shown in Figs. 1.3-1.5 can be represented by tennis balls arranged in various configurations in a box. In such an arrangement, the atomic packing factor (APF) is defined as the ratio of the sum of the volumes of the atoms to the volume of the unit cell. Show that the APF is
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1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate
the volume of its unit cell in cubic meters.
2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic
weight of 50.94 g/mol. Compute and compare its theoretical density with the
experimental value found in the table in Chapter 2.
3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic
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Gallium has an orthorhombic structure,with a0 5 0.45258 nm, b0 5 0.45186 nm,and c0 5 0.76570 nm. The atomic radiusis 0.1218 nm. The density is 5.904 g/cm3,and the atomic weight is 69.72 g/mol.Determine(a) the number of atoms in each unit cell;and(b) the packing factor in the unit cell.
1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate
the volume of its unit cell in cubic meters.
2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic
weight of 50.94 g/mol. Compute and compare its theoretical density with the
experimental value found in the table in Chapter 2.
3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic
weight of 87.62 g/mol. Calculate the theoretical density for Sr.
4. Determine the indices for the directions shown in the following cubic unit cell:
For Direction A
+z
A
+y
+x
For Direction B
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B
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Chapter 1 Solutions
Manufacturing Engineering & Technology
Ch. 1 - What is the difference between an atom and a...Ch. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - Define anisotropy. What is its significance?Ch. 1 - What effects does recrystallization have on the...Ch. 1 - What is strain hardening, and what effects does it...Ch. 1 - Explain what is meant by structure-sensitive and...Ch. 1 - Prob. 9RQCh. 1 - What influence does grain size have on the...
Ch. 1 - What is the relationship between the nucleation...Ch. 1 - What is a slip system, and what is its...Ch. 1 - Explain the difference between recovery and...Ch. 1 - What is hot shortness, and what is its...Ch. 1 - Explain the advantages and limitations of cold,...Ch. 1 - Describe what the orange peel effect is. Explain...Ch. 1 - Some metals, such as lead, do not become stronger...Ch. 1 - Describe the difference between preferred...Ch. 1 - Differentiate between stress relaxation and stress...Ch. 1 - What is twinning? How does it differ from slip?Ch. 1 - Prob. 21QLPCh. 1 - What is the significance of the fact that some...Ch. 1 - Is it possible for two pieces of the same metal to...Ch. 1 - Prob. 24QLPCh. 1 - A cold-worked piece of metal has been...Ch. 1 - What materials and structures can you think of...Ch. 1 - Two parts have been made of the same material, but...Ch. 1 - Do you think it might be important to know whether...Ch. 1 - Explain why the strength of a polycrystalline...Ch. 1 - Describe the technique you would use to reduce the...Ch. 1 - What is the significance of the fact that such...Ch. 1 - Prob. 32QLPCh. 1 - It has been noted that the more a metal has been...Ch. 1 - Is it possible to cold work a metal at...Ch. 1 - Comment on your observations regarding Fig. 1.14.Ch. 1 - Is it possible for a metal to be completely...Ch. 1 - Prob. 37QTPCh. 1 - Prob. 38QTPCh. 1 - Plot the data given in Table 1.1 in terms of...Ch. 1 - A strip of metal is reduced from 30 mm in...Ch. 1 - Prob. 41QTPCh. 1 - How many grains are there on the surface of the...Ch. 1 - Prob. 43QTPCh. 1 - Prob. 44QTPCh. 1 - Prob. 45QTPCh. 1 - A technician determines that the grain size of a...Ch. 1 - If the diameter of the aluminum atom is 0.28 nm,...Ch. 1 - The following data are obtained in tension tests...Ch. 1 - Prob. 50QTPCh. 1 - Prob. 51QTPCh. 1 - Prob. 52QTPCh. 1 - Same as Prob. 1.39, but ASTM no. versus...Ch. 1 - By stretching a thin strip of polished metal, as...Ch. 1 - Draw some analogies to mechanical fiberingfor...Ch. 1 - Draw some analogies to the phenomenon of hot...Ch. 1 - Take a deck of playing cards, place a rubber band...Ch. 1 - Give examples in which anisotropy is scale...Ch. 1 - The movement of an edge dislocation was described...
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