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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
1
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
2
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
3
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
4
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
5
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
6
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
7
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
9
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
10
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
11
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
12
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
13
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
14
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
15
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
16
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
17
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
18
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
19
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
20
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
21
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
22
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
23
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
24
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
25
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
26
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
29
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
30
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
31
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
32
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
33
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
34
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
35
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
36
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
37
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
38
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
40
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
41
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
42
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
43
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
44
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
45
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
46
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
47
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
48
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
49
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
50
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
51
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
52
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
53
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
54
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
58
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
59
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
63
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
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the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
69
Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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Problems and Solutions to Smith/Hashemi
Foundations of Materials Science and Engineering 5/e
PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond
the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student
using this Manual, you are using it without permission.
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