Engineering Mechanics Statics - 3rd Ed (Andrew Pytel Jaan Kiusalaas)-1

SOLUTION MANUAL

This page intentionally left blank

Engineering Mechanics Statics Third Edition, SI

SOLUTION MANUAL

Australia · Brazil · Japan · Korea · Mexico · Singapore · Spain · United Kingdom · United States

Engineering Mechanics: Statics, Third Edition, SI Andrew Pytel and Jaan Kiusalaas SI Edition prepared by Ishan Sharma Publisher, Global Engineering: Christopher M. Shortt

© 2010, 1999 Cengage Learning ALL RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transmitted, stored or used in any form or by any means— graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, information storage and retrieval systems, or in any other manner—except as many be permitted by the license terms herein.

Senior Developmental Editor: Hilda Gowans Acquisitions Editor, SI Edition: Swati Meherishi Editorial Assistant: Tanya Altieri Team Assistant: Carly Rizzo Marketing Manager: Lauren Betsos

For product information and technology assistance, contact us at Cengage Learning Customer & Sales Support, 1-800-354-9706. For permission to use material from this text or product, submit all requests online at www.cengage.com/permissions. Further permissions questions can be emailed to [email protected].

Production Manager: Patricia Matthews Boies Content Project Manager: Jean Buttron Production Service: RPK Editorial Services Copyeditor: Pat Daly Proofreader: Martha McMaster Indexer: Ron Prottsman Compositor: Integra Senior Art Director:

Library of Congress Control Number: 2009940219 Student Edition: ISBN-13: 978-0-495-29559-4 ISBN-10: 0-495-29559-0 Cengage Learning 200 First Stamford Place, Suite 400 Stamford, CT 06902 USA

Michelle Kunkler Internal Designer: Carmela Periera Cover Designer: Andrew Adams Cover Image: David H. Seymour, Shutterstock Photo Permissions Researcher: Kristiina Bowering

Cengage Learning is a leading provider of customized learning solutions with office locations around the globe, including Singapore, the United Kingdom, Australia, Mexico, Brazil, and Japan. Locate your local office at: international.cengage.com/region. Cengage Learning products are represented in Canada by Nelson Education Ltd. For your course and learning solutions, visit www.cengage.com/engineering. Purchase any of our products at your local college store or at our preferred online store www.ichapters.com.

Image Permission Manager: Don Schlotman Senior First Print Buyer: Doug Wilke

This page intentionally left blank

Contents

1

Chapter 1

Introduction to Statics

Chapter 2

Basic Operations with Force Systems

25

Chapter 3

Resultants of Force Systems

67

Chapter 4

Coplanar Equilibrium Analysis

97

Chapter 5

Three-Dimensional Equilibrium

193

Chapter 6

Beams and Cables

231

Chapter 7

Dry Friction

303

Chapter 8

Centroids and Distributed Loads

349

Chapter 9

Moments and Products of Inertia of Areas

423

Chapter 10

Virtual Work and Potential Energy

469

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 1

Rounding off to four significant digits

1 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

N

N

N

N

Km/h Km/h

Km/h

Km/h

7 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

8 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m m m

m

N

N

N

9 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N N

NN

N

N

N

10 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

11 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

12 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

m

m

13 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

m

m/s

14 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N N

N N

15 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N

N N

N

N

16 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

17 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

18 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

19 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

mm mm

-30 -40

-20 40

20 10

N

20 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

cm cm

cm cm

cm

21 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

N N N

N

22 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

23 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

24 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 2

1666.1 N

1217.8 N

2063.7 N

1196.6 N

25 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

26 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1

1m

3000 N

1934.6 N

2500 N

1337.9 N

1500 N

2333.5 N

27 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

28 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90 N

120 N

0.1 m

150 N 0.2 m

0.18-a

0.03996 11.3° 0.2

0.2

11.3° 11.3° 203.5 N

150

170 N 29

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

270j

0.7074

270 + 277.83 277.83 + 270

0.8004

360 + 370.44

547.83 N

912.6 N

50 = 250

253.55 N + 253.55

0 = 250 396.4 N

30 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

31 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

800

257.12 N 800

-400

106.42 N

600 400

800

-1639.23 N

20 m

257.12

106.42

1639.23 20

32 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3000

1119 N

60 m

60

33 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1000 mm 300 N

600 mm

300 mm

34 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90 N 360 mm

45 N 150 mm

360 150 0 45 90 0

35 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

360 mm 390 mm = (45i + 90j)

0.4

150 mm

0.4 m

80 N·m

90 N

120 N 120 mm

36 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m 5m

4m

2.598m 2.402

31000 N

5m

30079 N

37 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

38 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

=100

=100

-1.5i + 2j - 4k 4.717 4

m

4

39 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.5 m

-1.5

0

0

-31.8

42.4

-84.8

1

m

0

0

F = -600k N

-600

40 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

80

80

-273.85

-110.00j N

0

154.27

-61.284 -110.00 51.423

m m

N·m

41 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m

42 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

9m N N m

N·m m N·m

43 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m N·m

3.464m

4m

2m

375 N

1m

3

44 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

45 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m

N N·m

450 450 = 27153 N · mm

46 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

-0.12j - 0.04k

N

0.12649 -0.04i + .04k

N

0.04

-0.04i + .04k m

0.04i m

0.04

0.04

0.12649

-0.12j - 0.04k 0.12649 0.04 0.12649

0.12

-0.04

0.12

-0.04

0.06071 0.12649 0.12649

N

N

N

47 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N m

N·m

m N·m

48 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

m

m

N·m

4m

4m 4.8m 4.8m

6m

N·m

49 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

720 mm

540 mm

180 mm 180 mm

N

N

Dimensions in mm

450i - 59.42j mm 270i + 252.35j mm 450

59.42

0

270

252.35 0 1188.6-5047=-6235.6 N · m

6235.6 N · mm

50 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2i + 4j + 5k

N 3k

-3

-3 m

3

3

3 164.4 N · m

3m 2.298

N 3

2.298 m (2.298)

164.4 N · m

51 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m N·m

N·m

3m

5m 4m

N

N·m

N

N·m N·m

N·m

N

m N

3m

5m N·m N·m

N·m

3m 1.8 m

45 N

N·m N·m 52 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m N·m

6000 N · mm

4200 N · mm

6600

53 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

AC = 120j - 120k mm and AB = -180i + 120j

0 120 -120

480i + 720j + 720k mm2

-180 120 0 480i +720j + 720k 1125.6 2814.24i +4222.00j + 4222.00k N · mm

54 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

30 N 480 mm

50 N 15000 N · mm

50 N 30 N

N

N

N =-30(480) =-14400 N · mm N = (720j + 480k)

36000k - 24000j N · mm

-15000j N · mm

N·m

N·m

N·m N·m

55 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m 60R

60R

(-30Ri - 51.9615Rk) = 0

=108000i

- 30R = 0

108000

51.9615R = 0 900 N

93533 N · mm

56 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

204.6 N 13500 N·mm

66 mm

75 N

204.6 N 204.6 N

75 N

279.6 N

180 mm

75 N

75(180)=13500N·mm

13500/66 = 204.6 N

75-N

13500

279.6N

204.6 N

57 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 6300k N · mm

N 600

-300

58 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N·m m N

N·m

59 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N (300i + 150j - 120k) mm 300

150

-120

N N

564000 N·mm

1105515 N·mm

49

130

15.75i -18.77j +42.43 N

49

=130

41.78i - 49.79j + 112.58k N·m

60 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

-1.350

1.609

1.400

15.75

-18.77

42.43

94.55i + 79.33j N·m

N·m m

N·m N 61 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

62 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1500 N·mm -90i-60j+150k

180i - 60j mm

34200

180 -60

-120j+150k

N

36900

0

-90 -60 150 0

-120 150

m

N

N·m

N·m

N·m

N·m

63 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

200(-1200) + 100(9000) + 250(6000) = 0

mm).

(-12000i + 9000j + 6000k) 12000i + 9000j + 6000k = 0 9000 = 0 36 mm

12000 = 0 48 mm 36

48

6000 = 0 (-36 mm, -48 mm, 0)

64 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

150mm

100 N 120mm

240 N

N

N N N N N N

65 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m

N m

N·m

N·m N·m

66 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 3 N

N N·m N

N N·m N

N N·m

N

N N·m

N

N N·m

N

N N·m

67 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

17280 N·mm

770 N

17280 N·mm

1109i - 750j N

117 mm

68 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3

3 3

3

3

3

0.7019

1.928

-2.298 0

-1.928 0

0 1200

-2.298

3

m

3 3

3

0

0 -2000

1000K) 3

1.072

1200k) 3

3

3

m

m

3

3

1000 3 1200

2200) = -200 N 2200) = 1200 N 1000 1200 1000

69 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2250i + 122j N·mm

-50

40

0

(240j - bk) x Q

=

-18000j

240

=

-18000j

50

a = 300 mm -50b

70 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N·m

N·m N·m

71 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300 N

N·m

(a) m N

m

(b)

72 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(c)

(d)

N 800 N

1000 N

600 N

N·m N

N

m

N N N

N

73 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N N N

74 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N·m m m

N

75 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N N N

→

m

m

m

N·m N,

N,

N

76 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300 N

5m

N,

N 5m

50 N

m m N

m

m

77 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

78 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N N N,

N

N

N

N;

N;

-200i + 440k (-200)2+4402 200i + 150j -32k 2002 + 152 + (-320)2

N N

N 79

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N m m N

N 12(200) 12(150)

150 mm

(150)-

200 mm N;

N;

80 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N (50)+ 50

150

50

(1000)

150

42 mm

106 mm (106mm, 42mm, 0)

N

N m m m,

m,

81 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N m)

N

m

N

N

N

82 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m

N·m

83 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

130(0.7416) = 96.4 N 96.4 N

N/m N/m 6m

8m 84

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

m

N

m N

m

N m

85 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

86 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

N/m2

N/m2

N N N N/m2

N N

m

N

m

m m)

8m 5m

312 N/m2

499 N/m2 87

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

m

N

m N

m

m

750 N/m2

467 N/m2

N N N

N N

N

m N m, 88 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N N

N

N

N·m

89 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 720 N

N N

N

m m m m

m

N/m N/m 8m

N

m m

N

m

N

m m

N N·m

91 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N·m

N·m

N·m

N·m

N·m

N·m N·m

m m

N

N·m m,

m,

92 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N (20)

(30)

(20)

(30)

(60)

(20)

(60)

(20)

500i + 800j - 300k 5002 + 8002 + (-30)2

N N

93 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

-3939i - 6303.2j + 2363.4k +

N N N·m N·m N;

N·m

N·m

N;

N·m

N N N

94 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

95 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

96 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 4

97 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300 mm 900 mm 600 mm

45N 540 mm

2000 N

3m

3m

3m

3m

2000 N

3m

3m 2000 N

3m

3m 2000 N

98 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90 N·m 0.5m 1m

90 N·m 0.5m 1m

99 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

60mm

180mm

240 mm

60 mm

180 mm 60 N

100 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

400 N 1.5 m

1.5 m

0.5 m

1.5 m

400 N 1m

1.5 m 1m

101 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

600

179.3 N

5754 N·mm

102 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5 6400 - 4.16T

(7.5) 1600(4)

7.52 + 52

5 2

1600

7.5 + 52 7.5

0.5547T

7.52 + 52

2720 N; 6400 - 4.16(2720)

4915.2 N·m

-4915.2 N·m

3863.3 N

103 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

817.5

654 N

3000 (7.44)

(4.56)

3000 -

N

0

58099 N

104 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m

3m

150 N

43.3 150

43.3 N 150 N

3000 N

2700 N 1200 N/m

2.25 m 3m 4.5 m

105 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

720 mm 180 mm 180

106 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

3

7380 N 29250 N

3

7380 N

7.5 8.25

4.625 m

10.5 6.45

7.40 4.5

4.625

4.5

4.5 5.875

7.40 4.5 6.45 32074 N

4.5 7.40 24934 N

107 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3637.3 N 2300 2300 N 2000 N

2000

2000 N

- (2309.4

1154.7 0.5773

2000 N

2000 N

108 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

109 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

110 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1500(9.81) = 14715 N (1.1)

1.1m

(4.5) = 0 8847.8 N

1.5m

3m

111 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1650 N

20(9.8) = 196.2

(1650

(1650 98.1 2200

112 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

825 N

2160 mm

825

412.5 N 462.7 N

1177.2+825 = 619.9 N

113 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

114 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5.5 + 2 = 7.5 30(6)(9.81) =1765.8 N

2.75

12(6)(9.81) =706.32 N

1681.9 N 4.75

4.75 1226.25 N m

m

m m

m m m

2207.25 N 735.75 N

m m

2943

2207.25 N

115 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1743.6 N

6744.4 1590.3 N

290.9 N

6000 N

0.75 m

2941.8 N 6000 N

1.5m

11772 - 13734 = 0

13734 N

11772 N =23348.3 N

0.75 m

3.5m

116 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

N N/m

m N m N/m m

m

N/m

N N

N

m

N

N

N m

m

N

m m

N·m N·m

N

117 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

118 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m

N

m

m N

N

m

kN

kN

119 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

8

8

8

8

N

N

m

N

N

N

m

N

m

121 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm 40 120

100

120

500 N

20

20

60 80 40

20 20

122 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1000 N 1000 N

150 mm

22500 N·mm

22500 N·mm 480 mm 360 mm

240 mm

360 mm

240 mm

123 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

9

9

m

1000 N·m 1000 N·m

124 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

12 N

12 N

125 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

480mm

750 N

480mm

150 mm 300 N

300 N

0.6m 2m

0.6m 1m

600 N

0.6m 2m

0.6m

1m

6000 N

126 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

127 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

128 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

129 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m 4m

3m

2m 6m

(2)

(6)

(3)

(3)

(3)

(3)

(4) (4)

130 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

131 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

132 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

390 mm

330 mm 210 mm 120mm

125 N

9000 N

9000

3000 N

1000 N

1000 N

133 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1103.6 N

981 N 981 = 0

4.5 m 122.6 N

981 N

981 981 981

134 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.5 m

1m

1.5 m

270(9.81) = 2648.7 N

1m

150(9.81) = 1471.5 N

3

1728.7 N

1471.5 N

1471.5

1m

1m

1

1920.9 N

2.145 m

2.145 m)

1471.5 N 3m 2.145m

1m 135 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

18000 N 3m

3m

27000 2m 10m meters 9000 N

136 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

18000 N 3m

3m

9000 N 9000 N

4

4

3m

(3)

4m

4m

75 N

720 mm

112.5 mm 360mm 165mm 90mm

90

693.75 N

165

1513.6 N

137 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Meters 0.6 2

2.5

1 2.5 2 313.92 N

0.6

0.6

138 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

139 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1913.1 = 0 956.55 833.9 N 147.2(4) + 833.9(3) + 932(2) (4) 8 (2) 338 N

1 4

932

2 4

m

618.55 N

=833.9

932 N

147.2 N

833.9 - 338 = 370 N

932 - 618.55 = 313.45 N

833.9 N

932 N

140 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

141 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2m

80 N

5m 5m

4.5m 3m

3m

2m

80 N

142 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

80 N

80

100 N 200 N 180 N

4m 2m

3m

3m

3m

240 N N

N

N

143 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1620 mm

900 mm

190 N 1440mm 279 N

190 N

1620mm

900 mm

93409 N·mm

300 mm

90mm

90mm 1000 N

1462 N

1000 = 0

1462 90

500(90)

1462 N

500 N (1462

(300) = 0

4080 N

144 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

145 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm 3180

1440

12500 N 240

780

240

25000 N 12500(247)-25000(1440+3180+4)+

(780) = 0 158150 N

158150 N

3000 N

(158150)

12500 = 0

135600 N

(158150)

12500 = 0

30530 N

450 150 750

900

3000 N

450

150

600

1500

146 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

147 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

100 N 90 mm (18)-100(90) = 0 500 N 100 N

500

783 N

148 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1

1

1

1800

A = 13435.4 N; C= -11635.4 N; and E = 6717.7 N

1m

1800 N

A = 13435 N; C= 11635 N; and E = 6718 N

149 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

18mm 36mm

114mm

40 N

60mm

60

18

96

40(114) = 0

253.3 N

253.3 = 0

422.2 N

150 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm 45 mm

90 mm

45mm

30mm 135mm (135)

(30) = 0

(45) - P(135) = 0

151 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

60 36 (30)-180P]

150 36

(60) = 0 (60)

30

36

mm

152 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm 630 50000 N·mm

810 360

360

360

29.4 N

0.2 m

1000N

1.25 m

0.3m

1000 N

0.25 m

0.2165m

0.25 m 0.25 m

0.6 m

153 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

0.25

0.2165 m

0.2165 0.6

49.84°

49.84°)(0.25) 6714 N

600 N

195 mm

135 mm

195 mm

600

848.5 N 848.5

600 N

154 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

155 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

156 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120 mm

150mm

120 mm

120 - 105 = 15mm

90mm

15 58.09

157 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6

m

m 6

3m

3 3m 1569.6 = 0 1596.6

1827

160(9.81) = 1569.6 N

1827 N

1630.5 N

158 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

392.4 N force (630/720) = 28.96°

40(9.81) =392.4 N

720mm

40(9.81) =392.4 N

90 mm

-392.4

-392.4

192.4 N

289.4 N

159 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

160 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m

4m

3m

10000N 6000 N

10000N

6000 N

8800 14087 N = 14087 N -14087 11000 N

10000

11000

11180 N

11180 = 0

6000 N 161

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6000

6000

6708.2 N

6708.2 = 0

9000 N

9000 11526 N = 11526 N

8

4

162 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

163 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3

N

4

N N 3000 N N

N

N

N

N N N

N

164 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

165 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

166 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

167 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

80(9.81) = 784.8 N 784.8 N

2(2000)

16

2000 N

16

4000

2000 N

0.196 0.64 m

168 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

169 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40000 N ↑

40000 N -40000 -40000 32985 N

40000 40000

(-32985) -11315 N 40000 N

(-11315)

(-32985) = 16000 N

170 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

171 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N N

4

2 4

8

N

N

8

2m

2m 4m

4m N

N 4

N

8

N

2m

6200 N

1.5m 4.5 m

4.5 m

172 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 3.5

N 9

N

173 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

174 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

kN

kN kN

175 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 4m

N 4m

N 4m

3m

5m

5

5 N

8

12

12

4

8

4

N

N

176 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 2m

N 2

2

(1.5) = 0

3 N

N

2

1.5m N 1.5m N

(1.5) = 0

3

N

N

2m

2m

1.5m

1.5m

1.5m

1.5m

N

2 2

N

(1.5 + 3)

2

2

(1.5 +3 + 4.5) - 6000(2) 2 2

4.5Q = 12000 N·m 2P +9Q = 13664 N·m N

N

177 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

560 N

3m

560 N 1.5m 1m

2m

4 N

(1.5) = 0

N

2

3

4.5) = 0

N

N

N

kN

178 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

kN kN

kN

kN

kN kN

kN

kN

179 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

180 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 4m 8

8 8

7

7

4m

N

2.5m

N 2.5m

N

N N N

181 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

182 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

400 N 2.5

200 N 1.25

2.5

1.25

m 3 360 N

360 N

3

400 = 416 - 400 = 16 N

400

360

360

360 - 228.3 = 131.7 N 200 = 16 + 200 = 216 N

200 360

183 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

184 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

185 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

kN 6m

4m 5m 7.5m

(4)

(2.5) = 0

kN

kN

186 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m

2m 450 N·m

450 N·m

1.5m

3m

1m

2m

3

450

N

2

450

N N

3 3

2

2

3

2 N

N

N

N

187 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

188 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

196.2 N 20(9.81) = 196.2 N

1m

10(9.81) = 98.1 N

2m

1m

196.2 + N = 0 4 1 130.8 N

196.2(1) - 98.1(2) = 0

N = 196.2 - T = 196.2 - 130.8 = 65.4 N

15(9.81) = 147.15 N

30(9.81) = 294.3 N

3m 6m

441.45 = 0 220.73 N

382.32 N 6

(382.32

147.15(3) - 294.3x = 0

6

189 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N 2m 2

2

2

N 2m

2m

3m 3m

3

2

4

4

N

N

N

N

240mm

450mm

10(9.81) = 98.1 N 1350mm

(450) +

(1350) - 98.1(450) = 0

26.6 N

190 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

180mm 540mm

270mm

270mm

120mm

2000 N

889 N

191 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

360mm

450mm

240mm 210mm

192 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 5

N meters

N meters

N

193 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

194 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

3m

4m

2.5m

3.5 m 2.5m

2m

660mm

360mm

840mm 200 N

195 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

196 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

900

1200

mm

1080 300 N

540

630

630 900

1200

197 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

540mm

600mm

400 N

720mm

600mm 500 N 1140mm

720mm

300 N

198 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

N

N

199 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m N

N·m

N

200 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

N

201 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N N N N

N

N N

202 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

N

N

N

203 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

m

N

m

204 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m

N

N

N

205 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m

m

m N

m

N N N

206 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

207 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

400 N

540mm

600mm

400 N

(720) = 500(1320) 916.7 N

720mm

400 N 300 = 0

600mm

300 +916.7 = 1216.7 N 500 N 400j +1216.7 N

1840mm

720mm

(1140) - 300(1860)]i 300 N 1603038 N·mm = 1603038 N·m

208 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

meters

N

N N

m

N N N N

N

209 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

N

N

m

N N

N

210 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

211 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

212 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

meters

N·m

N N

N N N

N

N

213 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N mm

N

N N N

N

N

214 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

N

m

m

N m m

N N

N N

N m

m m

m m

m

215 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

N

m

N

N

216 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

75 260 mm

200 N

130

25

105 160 210

217 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

12.2 N

109.5 N

N

mm

N

N

N

N T = 240 N

N

N N·mm N

12

N·m

218 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

219 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

9m

5m 3m

5m

N

12m

N

N

220 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N m

m

3m m

m

3m

m

N

m

N

N

N N

221 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

222 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5m 4m

6m 400 N

400(2) = 0 126.4 N 400 400

126.4

164.2 N

223 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

meters

N

N

224 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N N N

N N

N N

N

9m

2.5m 7.5m

4m 6m

1200 N 6m 1200 N

225 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N m

N

226 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

227 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

228 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

12000 N·m

120mm 210mm 160mm

180mm

180i - 160j - 120k 1082 + (-160)2 + (-12)2 100 149.5 N

210j mm 210

12000j = 0 180i +210j mm 149.5

180

210

12000j = 0

210

229 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

230 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 6

231 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

m

m

N m

m N

N·m N m

m N

N

N·m

232 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

m m

N

m

m

m m

m N

N

N N·m

N N·m

N m N N

m

m

N

233 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N m N·m N

N

m

N N

N·m

N·m

N·m

m

N

m

m

N

N·m

m

N·m m N

N N·m

234 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N

N 30 mm

28(30) = 840 N·mm

N

50 mm N

50

N

50 400 N·mm N 235

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

236 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

237 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

238 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

239 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

meters

N N

N

N

N N·m

N N

N·m

240 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 480

18000

480 mm

N

18000 N·mm

N

240 mm

240 mm

18000 N·mm

18000 N·mm N

120 mm

N N

240 mm

(120) = 37.5(120)

N·mm

N

241 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

242 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N

m

N m

N

N

N m

m;

N·m

243 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N·m N

m m N m N N

244 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

245 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

246 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

247 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N/m

N·m

N

N·m

N

N·m

N

N·m

N/m 510 N·m

N

248 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

249 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

250 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N/m

N

N·m

N

N·m

N

N·m N N·m

251 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

252 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N/m

N

N

N

N·m

N

N·m

N

N

N·m

m N·m 253 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

254 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

255 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

256 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

257 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

258 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

12 kN

48 kN·m

12 kN 12 kN

48 kN·m N·m

259 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

kN N·m

12 N 12 N 4m

N·m

12 N

N/m 2m

4m

2m N

N

(N)

3m

N·m

260 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N·m

N

N N N·m

m N·m

N

N·m

261 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

900 N 4m

400 N 14m N/m

12m

6m 1710 N

N

N

N·m

N

N·m N

262 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N·m 900 N

400 N

N

N

N·m

263 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6

N 1m

N/m 4m

4m N

4

6

1 264

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3 3m 3m

265 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

266 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

267 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

268 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

900 (+) 120 kN/m

8m

4m

4m (kN)

8m

(kN·m) kN;

kN·m

269 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

270 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120 kN/m

120 kN/m

2m

2m

2m

2m (kN)

2m

(kN·m)

kN·m

kN

271 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

0.4 kN/m

0.2 kN/m

5m

10m

5m

10m

10m

kN -1

10m

(kN/m)

kN;

kN·m

272 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

273 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

274 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2m

3m

2m

(N)

(N·m)

N;

N·m

275 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

276 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

277 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

960 kN/m

440 kN/m

4m

8m

960 kN/m

2m

(kN)

(kN·m)

N;

N·m

278 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

400 kN/m 2m

2m 4m

(kN)

(kN·m)

kN·m

kN;

279 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

200 kN/m

2m

4m

2m

(kN)

(kN·m)

kN·m

kN;

280 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(kN)

2m (kN)

2m

2m

3m

(kN·m)

kN;

kN·m

281 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4000 kN

2000 kN 600 kN/m

4m

4m 7700 kN

4m

8m kN

4m (kN)

4m

4m

(kN·m)

kN;

kN·m

282 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

600 kN 180 kN/m 2m

6m 660 kN

3m 1380 kN

(kN)

(kN·m)

kN·m

kN;

283 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

900 kN

900 kN 4m

2m

4m

225 kN/m

120 kN/m 4m

4m

1860 kN

(kN)

(kN·m)

kN;

kN·m

284 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

285 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

286 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

L = 80 m 12 kN/m

m

N

m)

m

287 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m)

m m m 960 kN

L = 60 m

N kN

N N

m

16 N

14 N

288 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

16

14 16

1

16

7.75 m

14

7.75(1)

1

14

7.4 m

14

1(7.4)

1

14

2.00 m

289 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

290 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

291 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

200 N

200

19.35 m

2.5 200

194.06 N

194.06

(2.5)

2.5

12

194.06

0.24 N/m

19.15 m

37.5 N

37.5 N

12 N

12 2(37.5) 292

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4000 N

4000 2828.5 N 20m

293 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

60 m

300 N 900 3.75

948.7 900

78.60 m

3.75 900

(3.75)

3.75

900 3.75

900

(3.75)

(3.75) 900

(3.75)

900

300 = 0

900

66.4 m

28.2 m

300 N

200 = 0 200 300

200 N

200 N

294 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300 = 0 400 = 0 400 300 m

m

m m

N N

N

N m

N

295 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6m

8m

12m 10m 1.2 kN

1.2 kN

1.8 kN

kN

kN

kN

8m 8m

12m

12m

16m N

N N

N

N

296 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

680 N 8m N

N

8m 16m

N

N

N N N

N

N N

N

N

N

N

N

8m 8m 12m 12m N N

N

N

N N 8m 8m N

m N

N N N

297 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

298 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3m N

150 N

3m

3m 4m m

80 N

299 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

301 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

302 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 7

N N

N

N

N

N

N

N

N

N

N

N

N

N

N

N N

N N

303 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

360mm 360mm

N

N

600 mm

(600)

(720) +14(360) = 0

8.400 N

N N

N N

304 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300mm

300mm

300mm

300mm

6N

8N 300mm 300mm

8N

N

N

305 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 270mm N

N

N

N

60mm

90mm

180mm

306 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

307 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

720mm

90000 N∙mm

240mm

300mm

480mm 480mm

N

308 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1800mm

1200mm

360mm

309 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1800mm

1200mm

310 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

311 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2.4m 0.8m 1.3

800 N 0.75055

1.6 tan60° 70 N = 2.771m 0.8m

110 N

70 N

1.3m

3.2m

1.6m

70 – 110 – 800 = 0

712.4 N

267.7 N

134.3 N

134.3 712.4 134.3 267.7

312 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

313 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

314 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

315 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(11)

6

11 N

1.717 N

6N

1m

6 3N

3m (11)

10.435 N

316 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40 N 192mm

N

270mm

N

N

317 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

450mm 600

240mm

600mm

600

318 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.5m

588.6 N 3m

588.6 = 0

588.6 N

(0.75) = 0

319 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2520mm 1080mm 588.6 N

320 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2m

m

5m 2.5m

m

90mm

150mm 15 N

15 N

321 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

15 N

15

4.5 N 4.5 N

15

15 N 5.25 N

15 N

15

5.25 N 4.5 N

(30202.6)(0.7) 2

1.4

8693 N 30202.6 – 8693sin30° 25856.1 N 8693

7528.4 N

7528.4 25856.1

322 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

20(9.8) =196.2N

5m 6.5m

139.3 N

2.5m

6m 75.46 N 75.46 139.3

323 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

-75.46

139.3 N

139.3

49.05 N 75.46

16.08 N -75.46

139.3

.5m .5m

49.05 = 0

0.5m

206.66 N 16.08 206.66

1800 N

(3)(540) = 810 N

150mm

810

810 N

1800

1800 N

540mm

810 N 3m

810 N

3 N/mm

810 1800 N

1800

324 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

300mm 3600 N (6)(1080) = 3240 N

150mm

3240 = 0

3240 N

3600 = 0

3200 N

1080mm 3240 N 360mm

3240 N

3240 3600

3600 N

6 N/mm

533.25>300mm

325 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5 441.45 N

(981)(2.25) = 0 0.2(441.45) = 88.29 N 441.45 N 5m 981 N

0.5m 88.29

441.45 -88.29

2.25m

-441.45 -88.29 1500.9 N W = 1165.4 N

1730.5 N 1730.5 N

360(

180

360mm 180mm

N

600mm (2000)(540) = 0 N

N

360mm 1080mm

540mm

N

N 326 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N 2m

N

N·m

N,

N,

N,

N·m

327 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N·m

N·m

328 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

10 10m

22.87 m

22.87

6.57 m

(2.1 + 0.6)

2.7

m 0.6m

4 - 2.1 2.7 0.6

2.7

0.6

0.6m

2.1m 4m

1.9 0.735

150 150

150

150mm

250mm

329 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N

330 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

15 (52.5)

(52.5) 41215.6 N·mm = 41.2 N·m

(52.5) 21686.6 N·mm = 21.7 N·m

331 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N N

332 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3 (52.5)

N N N N N

N N (52.5)

3758.3 N·mm

333 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N 270mm

360mm

600mm

270mm 180mm

478710 N·mm

N. N

334 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N

N

N N N

N 335

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

120mm

240mm

240mm 120mm

N

336 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120 240

N N N

m m

m m N

N N

337 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·m 2m

1.4m N

338 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

80

80

600

20

20

600

80

2400

20

-120),

733.12mm

339 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

340 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(60 x 9.81) = 23.54 N

341 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

360mm

300mm 810mm

150mm

400 N

300mm

4000 = 0 400 = 0

240.7 N

(240.7)

159.3 N

(159.3)

47.97 N

342 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

343 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

490.5 N

2m

100 (9.81)

1m

=981 N

2451 N

490.5 981 490.5 490.5

981

71.55°

490.5 71.55°

344 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

345 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4.5 (7.5)

180mm

120mm

150 N 375 N (375)(7.5)

1758.8 N·mm

(375)(7.5)

1086.4 N·mm

346 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5m 100N 4m

4m

4m

3m

3m

75N

75N 2.646m

2.646m

347 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90.16 N 100 - 75 = 0 90.16

46.5 84.84 46.5 90.16

100 - 75 = 0

84.84 N

0.5481 0.5158

348 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 8

m2

4m

m3

m3

m

m

349 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

350 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

351 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm) 27 36

4.5 9

4.5

36

13.5 3

36

4.5

9

13.5

3x

4.5

9

36

13.5 202.5 mm2

9 36

4.5

9

13.5 36

36

(20.25)

(20.25x - 182.25)

-9x

9

9 36

4.5

9

36mm

4.5

36

13.5

36

9

4.5 13.5

36 9

9

3690.6 mm3 4.5 13.5

-3x

352 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

110mm

70mm

70

50mm

70

70 110

110

70

70y

110

110

70

70y

3850 mm2

141166.7 mm3 70 110

4900

70

700

4900y

350

110

243833.3 mm3 243833.3 3850

63.3mm

353 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3mm

OK

(110) = 36.67mm

1802

4623.5 mm3

1802

225730.5 mm3

354 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

m

m2 m

355 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40mm

4(50)

2

(mm )

3927 -1200 2727 67334.9 2727

50mm

21.22mm

(mm)

21.22 13.33

60 mm

3

(mm )

83330.9 -15996 67334.9

24.7mm

356 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2(48)

11.122mm

(mm2) 5174.8 1124.1 6298.9 35072.1

6298.9

(mm) 11.122 -20

(mm3) 57554.1 -22482 35072.1

48mm

20mm

30mm

5.57mm

357 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

50mm 20mm 80mm

20mm

20mm 100mm 100 2400 2000 5400

75 110 50

75000 264000 100000 439000

110 60 10

110000 144000 20000 274000

358 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1800 700 1400 3900

15 0.0 0.5

27000 0.0 7000

100 55 10

180000 38500 14000

34000

232500 90

15

20 30 70

10

10

100 55

20

mm

359 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

360 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

80mm

80mm

80mm

160(80) = 12800 mm2

-40 mm

80

12800 10053 -1.5708R2

-40 33.95 -80+0.4244R

-512000 341299.4 -0.6666R3

41.8mm

361 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m2

m3 m

m m

362 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

363 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6.002

-4.244mm 20mm

55

55

94.25 35

6.002

-4.244 0.0000

129.25

(m)

59.24mm

-400 0.000

59.24 17.5

-400

(m)

(m2)

35mm

558.37 612.5 6195.87

(m)

(m2) 4m

5m

3m m

m

364 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

365 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

31.83mm (mm) 78.54 20.00 40.00 30.00 90.00

258.54 4949.9 258.54

19.15mm

(mm)2

(mm) 31.83 40.00 30.00 15.00 0.000

2499.9 800 1200 450 0.0

(mm) -31.83 0.0 20.00 40.00 -50.00

4949.9 -949.9 258.54

(mm)2 -2499.9 0.0 800 1200 -450

40 mm

20mm 50 mm

-949.9

-3.68mm

366 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

167466.7 mm3

367 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm)

(mm)

(mm)

(mm)

(mm)

368 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(m)

(m)

(m)

(m)

(m)

369 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40mm

20mm 80mm

2

20

(20 )

20

80 20 80 20

20

80

80 20

370 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

371 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

372 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

373 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

374 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40mm

17.5mm

160

130

190 100 mm ----------------------------------------------------------------------------------------------------Part ----------------------------------------------------------------------------------------------------1 95 2 255 3 360 ----------------------------------------------------------------------------------------------------Sum

375 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

376 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

377 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

35mm

20mm

32.5mm 75mm

12.5mm 32.5mm 37.5mm

37.5mm

4(20)

17.5 -8.488 -5.305

35

-3.75

51.25 51.25

12.5 12.5

378 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

20mm

15mm

60mm (60 - h)

379 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

36.1mm

25mm

12mm

12mm 9mm

9mm

15mm

15mm

mm mm

2

mm

2

mm

2

mm mm

2

3

mm

380 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m2 m m

m

m m

m2

(mm2)

m

m

(mm)

(mm3)

mm

(mm)

(mm3)

mm

381 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

18mm

22mm

22mm

mm

mm mm 382

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm2)

(mm)

(mm3)

(mm)

(mm3)

mm mm mm

383 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm) 60 120 140 94.25

414.25

(mm)

(mm2)

60 30 0.0 0.0

3600 3600 0.000 0.000

(mm) 0.000 0.000 35 89.10

(mm2) 0.000 0.000 4900 8397.7

13297.7

7200

30mm

7200 17.4mm 414.25

70mm 60mm

384 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

50 15.005

mm 15.005mm 10.61mm

--------------------------------------------------------------------------------------------------------------------Part (mm) --------------------------------------------------------------------------------------------------------------------1 235.62 10.61 2499.9 10.61 2499.9 0.000 0.000 2 120.00 0.00 0.000 -50 -6000 60 7200 3 80.00 0.00 0.000 -10 -800 120 9600 --------------------------------------------------------------------------------------------------------------------Sum 435.62 2499.9 -4300.1 16800

385 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

386 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

12m

387 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m3 m4

m

m

12m

(m)

(m)

(m2)

(m3)

m3 m3 m

m3

m

388 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

389 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120 mm

200000 mm3

20mm 20mm 40mm

20mm

(126.49)(60)+(40)(40)+(120)(20)+(20)(30) 120 mm

12189.4 mm2

20mm 40mm

390 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40 mm (50) = 31.83 mm (64.03)(25)+(78.54)(31.83) = 4100.7 mm2

50 mm

40 mm 50 mm

(40

)(40 2(40)

-346.4 mm2 25.46 mm

40

40 mm

12.73 mm

40

11.55 mm

391 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(40)

41.89 mm (40)

38.2

38.2 mm 40mm

19.099 mm

80mm 100mm

150mm

20mm

392 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm

12mm

mm

mm

mm2 mm2

5m

250

5

5

6.37 m

393 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90 mm 20mm 40mm 20mm

20mm 20mm 20mm

394 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

395 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

15mm

60mm 80mm

60mm

396 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40 mm

20mm 20mm 70mm

(N) 1.415 2.478 0.708 2.9

(mm)

(mm) 0.0 35 70 60

7.499

0.0000 1.7336 0.9905 3.4800

20 0.0 10 10

310.22

28.3 0.0000 7.08 29

64.38

25 mm

397 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

150mm

150mm

210mm 360mm

(mm3)

390mm

(mm4)

(mm) -50 105 -75

(90)

(90)

-33.75 mm

2

109.2 mm

398 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.25 mm 90mm

60mm

(60) = 25.46 mm

(N)

(mm)

1.095 0.594

0 30

1.689

(N·mm) 0 17.82

(mm)

(N·mm)

60 40

16.26 23.76

17.82

39.46

(mm) 25.46 0

(N·mm) 27.879 0 27.789

399 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

400 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

115000 N 4.5 m

4.22 m

401 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

402 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

7.5mm

40sin45° 40cos45° 4266 mm3 80

(mm2)

(mm3)

(mm)

128000

(402) (40

(40

128000

(40

128000

4266 4266

128000

128000

403 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m,

N

N·m N

m

404 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N·mm =9000N·mm

4 N/mm

mm

mm

405 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

mm

N

mm

N mm mm

406 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

407 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40m 8m

8

2.66 m

408 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

409 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

410 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

85mm

411 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

412 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4m

4m

4

4

4

739019 N

40mm

40mm

413 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40 402

40 16.57

56.57

40

40

662.8

23.4 mm

414 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm2)

mm

(mm)

(mm3)

(mm)

(mm3)

mm

415 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

416 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

200mm 200 mm

200

(N) 92.64 -40.92 51.72

150 mm

(150) 136.34 mm

(mm)

100 136.34

(N·mm) 9264 -5597 3667

3667

(200) = 0

18.34 N

18.34 N

417 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

40mm 12.5mm

15mm

4mm 90mm

4mm

418 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.4816 N·mm

20mm 30mm 40mm

419 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

30 + 50 + 30 = 110 mm

30mm 40mm

40mm

50mm 30mm

40mm

27646 mm2

N·m N·m

20mm 30mm

30mm

30mm

60mm

420 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m2 m2

(m2)

(m2)

(m)

m

m

m m

m

(1000)(9.81)(rcosθ)

9810

9810

22072.5 N

9810 9810

19502.3 N·m

421 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1N

30mm

80mm

25mm

422 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 9

423 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

70mm

100mm

20

20

0.25 20 20

100

0.25

424 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

(mm) 40)

20

40 40

20

+40

40

20 40

40

40

100

80

(mm)

425 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

426 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1380.7

128.7mm

449.7

73.5mm

93.3mm

(5.75)(71.342)

90mm 5.75mm

(5.753)(71.34)

427 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

82.87mm

45

9.33

9.33mm

40.335mm (82.87)(9.333)

(7732)(40.3352)

6.06mm

428 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3.79mm

2.77mm

6.06mm

90 - 2.27 = 87.73mm 45mm

(mm4)

(mm2)

(mm3)

(mm)

(mm4)

429 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

90mm 20mm (1800)(100)+(700)(55)+(1000)(10)

1800+700+1000 3

(20)(90)

3

(70)(10)

(20)(50)

65.29mm 70mm

10mm

65.29mm

3

20mm 50mm (90)(20)3

2

1800(100)-(65.29)

(10)(70)3

2

700(55-65.29)

(50)(20)3

2

1000(10 - 65.29)

430 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

20mm

20mm

180mm

20mm 80mm

100mm

80mm

431 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2

(mm )

(mm)

1600 3200 1400

10 100 190

6200 602000 6200

3

(mm )

16000 320000 266000 602000

97.1 mm

432 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

30mm 2

(mm )

1000 600 800 -800

2

(mm)

(mm )

50/3 30 10 20-3

1600

20mm

50000/3 18000 -8000 -16000/3

40mm

42mm

112000/3 3

(40)(50)

40mm

80mm 3

3

40(30)

2

60(30)

3

(40)(20)

(80)(20)

m m

m

m

m

433 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

434 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm4

435 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm4

mm4 mm4 mm4

436 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

437 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

438 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

439 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

440 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm mm4

441 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2

(mm )

(mm)

3

3

(mm )

(mm)

(mm )

12mm 6mm 12mm

mm

mm mm4

mm4

mm4

12mm

12mm 12mm

18mm

6mm

mm2 mm 2

(mm )

(mm)

mm (mm)

3

(mm )

3

(mm )

442 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

mm

mm

mm4

mm4

mm4 mm4

443 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m m m

m

m2

m

m4

m

m4 m4

4m

m4

m4

3m m4 m4

m4

444 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4

m4 m4

8m m4 6m m4 m4

m4

445 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4 m4

m4 m4

m4 m4

m4

m4 m4

m4 m4

m4 446 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4 m4

447 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

448 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

449 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4 m m

m

m4

m m m 2

(m )

(m)

3

(m )

(m)

3

(m )

450 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m

m

m4 m4

m4 m4 m4 m4

m4 m4 m4

mm 20mm

mm

mm m2

mm

mm

m2 mm

mm

451 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4

m4

m4 m4

6.75mm

5.75mm

m

4

1.8mm

6.2mm

m4 m4

m4

m4 m4 452

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4

m4 m4

453 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4 m

m4

4

m2 m4

m4

m4

454 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4

m4 m4 m4 m4 m4 m4

m4

m4 m4 m4

455 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4

m4 m4

m4 m4 m4

m4

m4 m4 m4 456 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4 m4 m4 m4

m4

m4

457 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

458 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

459 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

460 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

461 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

2

(m )

(m)

3

(m )

4.5m 4m

0.5m

m

m4 m4 m4 m4

m4 m4

462 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

5mm

12mm mm 2

(mm )

(mm)

mm 3

(mm )

3

(mm )

(mm)

mm

mm

mm4 mm4

mm4 mm4 mm4 mm4 463 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

464 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

465 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m4

m4

m4

m 4m m m m

m m4 m4 m4 m4 m4 m4 466

© 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

m44

m4

m4 m4

m m

m4

m4

m4 m4

467 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

468 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

Chapter 10

469 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

470 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

50

50

100

100

25mm

W= 2.5(9.81) = 24.525 N

25mm

0.25(9.81) = 2.45 N 40mm 40mm

150 80

80

150mm 75mm

150

80

0.6(9.81) = 8.89 N

150

75mm

80

471 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

150

80 -150

75 150

+80 75

-150

+80

75

+40 150

+40

150

+40

472 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4.5m

4.5m

9 -9

W= 160(9.81) = 1569.6 N

-9

473 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

474 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

30mm

54mm 48mm

38 N

48mm

N·mm

475 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

476 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N N

N

477 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

478 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1.25

1.25m 1m

0.8m

N

1m

0.8m

N

N

479 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

N

N·m

120mm

120mm

240 120

240

240

240mm

2m

3m

1m

3m

N

480 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

1m

3m

4m

m m

N·m

481 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

4m 8sin60° =6.928m 2m

2m

1m

1m m m,

m

482 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

60mm

160mm

60mm 40mm

= 40

120

mm

483 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

484 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

485 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

60mm

60mm

40mm

mm mm

130mm

110mm 70mm

40mm

486 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

240 110 40 70

487 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

30mm

12 30

6mm

10

15mm

45mm

mm 45

mm

12

mm

mm

12 45

90 15

90

488 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

185mm

355mm

75mm 25mm

275mm

355mm

75

275mm

mm 0 20 40 60 80 100 mm

355

275 75

275

mm 355

58

600 N

58 58 58

(58)(600)

489 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120mm

120mm 210mm

210mm 210mm

210mm

120mm

120mm

0 20 40 60 80 100 mm

120mm

490 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

491 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

492 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

493 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

494 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

495 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

120mm

120mm 30N

5 N/mm

3600 72000

496 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

497 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

6m

N

3m 3m

N

498 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

499 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

500 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

501 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

100 50

20 mm

50mm 50mm

502 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

3000

2500

) 2000

1500

503 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

504 © 2011 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.