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. 8 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. 27 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. 28 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. 39 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. 55 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. 56 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. 57 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. 60 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. 61 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. 62 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. 64 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. 65 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. 66 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. 67 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. 68 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. 70 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. 71