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
permissionrequest@cengage.com.
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
Chapter 1
Introduction to Statics
1
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
-3 m
N
-3
3k
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
50 N
15000 N · mm
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
49
130
=130
15.75i -18.77j +42.43 N
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
50
150
150
(1000)
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
90 N·m
0.5m
0.5m
1m
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
4.5
6.45
32074 N
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
1.5m
N
(1.5) = 0
1.5m
N
N
2
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
960 kN/m
8m
2m
4m
(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.
100
2m (9.81)
490.5 N
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
9
3690.6 mm3
36
4.5
9
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)
50mm
21.22mm
3
(mm )
2
(mm)
(mm )
3927
-1200
21.22
13.33
83330.9
-15996
2727
67334.9
2727
60
mm
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)
(mm)
(mm3)
5174.8
1124.1
11.122
-20
57554.1
-22482
6298.9
35072.1
6298.9
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)
(mm)
78.54
20.00
40.00
30.00
90.00
31.83
40.00
30.00
15.00
0.000
258.54
4949.9
258.54
19.15mm
(mm)2
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
35
-3.75
-8.488
-5.305
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)
(mm)
(mm2)
60
120
140
94.25
60
30
0.0
0.0
3600
3600
0.000
0.000
414.25
(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)
(N·mm)
(mm)
(N·mm)
(mm)
(N·mm)
1.095
0.594
0
30
0
17.82
60
40
16.26
23.76
25.46
0
27.879
0
1.689
17.82
39.46
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
(mm )
2
(mm)
(mm )
1000
600
800
-800
50/3
30
10
20-3
50000/3
18000
-8000
-16000/3
1600
2
20mm
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
-150
75
75
+80
+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.