Solution Manual for Machine Elements in Mechanical Design, 6th Edition

Name: Solution Manual for Machine Elements in Mechanical Design, 6th Edition
Brand: Academic Documents Platform
Price: 15 USD
Availability: InStock
Author: Carter Spencer

Solution Manual for Machine Elements in Mechanical Design, 6th Edition is an essential tool for mastering your textbook, offering detailed solutions and helpful explanations.

Carter Spencer

Contributor

4.2

4 months ago

Preview (16 of 420)

Solution Manual
For
MACHINE ELEMENTS
IN MECHANICAL DESIGN
Sixth Edition
Robert L. Mott,
University of Dayton
Edward M. Vavrek,
Purdue University
Jyhwen Wang,
Texas A&M University

iii
Table of Contents
Chapter 1 The Nature of Mechanical Design 1
Chapter 2 Materials in Mechanical Design 3
Chapter 3 Stress and Deformation Analysis 11
Chapter 4 Combined Stresses and Stress Transformations 50
Chapter 5 Design for Different Types of Loading 121
Chapter 6 Columns 158
Chapter 7 Belt Drives, Chain Drives and Wire Rope 178
Chapter 8 Kinematics of Gears 193
Chapter 9 Spur Gear Design 225
Chapter 10 Helical Gears, Bevel Gears and Wormgearing 275
Chapter 11 Keys, Couplings, and Seals 311
Chapter 12 Shaft Design 316
Chapter 13 Tolerances and Fits 354
Chapter 14 Rolling Contact Bearings 360
Chapter 16 Plain Surface Bearings 365
Chapter 17 Linear Motion Elements 372
Chapter 18 Springs 377
Chapter 19 Fasteners 396
Chapter 20 Machine Frames, Bolted Connections and Welded Joints 398
Chapter 21 Electric Motors and Controls 407
Chapter 22 Motion Control: Clutches and Brakes 411

1
CHAPTER 1
THE NATURE OF MECHANICAL DESIGN
Problems 1‐14 require the specification of functions and design requirements for design
projects and have no unique solutions.
15.
D ൌ 1.75 in  25.4 mm/in ൌ 44.5 mm
16.
L ൌ 46.0 m  0.3048 m/ft ൌ 14.0 m
17.
T ൌ 12 500 lbin  0.1130 Nm/lbin ൌ 1418 Nm
18.
A ൌ 4.12 in2  645.2 mm2 /in 2 ൌ 2658 mm2
19. Section modulus ൌ
S ൌ 14.8 in 3  1.63910 4 mm3 /in 3 ൌ 2.43105 mm3
20. Moment of inertia ൌ
I ൌ 88.0 in 4  4.16210 5 mm4 /in 4 ൌ 3.66107 mm4
21. Given:
A min ൌ 750 mm2 : In U.S. units;
Amin ൌ 1.162 in2
U.S. Angle – From Appendix 15‐1: L223/8;
A ൌ 1.36 in2 ሾ890 mm2ሿ
SI Angle – From Appendix 15‐3: Angle 75755; A ൌ 864 mm2
22. Power ൌ
P ൌ 7.5 hp  745.7 W/hp ൌ 5.5910 3 W ൌ 5.59 kW
23. Ultimate tensile strength
s u ൌ 127 ksi  6.895 MPa/ksi ൌ 876 MPa
24. Given: Steel shaft;
D ൌ 35 mm ൌ 0.035 m;
L ൌ 675 mm ൌ 0.675 m
Find: Weight of the shaft: Weight ൌ mass 
g ;
g ൌ 9.81 m/s2
Mass ൌ density  volume; Density of steel ൌ 7680 kg/m3 ሾFrom Appendix 3ሿ
Volume ൌ
V ൌ area  length ൌ 
D2 /4 
L
V ൌ ሺ0.035 mሻ 2 /4  0.675 m ൌ 6.4910 ‐4 m3
Mass ൌ 7680 kg/m3  6.4910 ‐4 m3 ൌ 4.98 kg
Weight ൌ
m 
g ൌ 4.98 kg  9.81 m/s2 ൌ 48.9 kgm/s 2 ൌ 48.9 N

2
25. Given: For a torsional spring, Torque ൌ 180 lbin for 35 of rotation.
Find the scale of the spring ൌ Torque per unit of rotation. Express the result in both
U.S. and SI units.
T ൌ 180 lbin  0.1130 Nm/lbin ൌ 20.3 Nm
Angle ൌ ࣂ ൌ 35   rad/180 ൌ 0.611 radians
Scale ൌ
T/ࣂ ൌ 180 lbin/35 ൌ 5.14 lbin/degree
Scale ൌ
T/ࣂ ൌ 20.3 Nm/0.611 rad ൌ 33.3 Nm/rad
26. Given: 12.5 hp motor operating 16 h/day, 5 days/week
Compute the energy,
E, used by the motor for one year in both U.S. and SI units.
E ൌ 12.5 hp  16h/day  5 days/wk  52 wks/year  550 ftlb/s/hp  3600 s/h
E ൌ 1.031011 ftlb/year
E ൌ 1.0310 11 ftlb/year  1.356 J/ftlb  1.0 Nm/J  1.0 W/Nm/s  1h/3600 s
E ൌ 38.810 6 Wh/year ൌ 38.8 MWh/year
27. Given: Viscosity ൌ  ൌ 3.75 reyn  ሺ1.0 lbs/in2 ሻ/reyn  144 in2 /ft 2 ൌ 540 lbs/ft2
 ൌ 3.5 lbs/in 2  4.448 N/lb  1.0 in 2 /645.2 mm2  10 6 mm2 /m2 ൌ 25.9103 Ns/m2
28. Given:
n ൌ 1750 rpm; 24h/day; 5.0 years. Find life in number of revolutions.
Life ൌ 1750 rev/min  24 h/day  60 min/h 365 days/year  5 years
Life ൌ 4.60109 revolutions

Loading page 6...

Loading page 7...

Loading page 8...

6
Problem 38 (Continued)
ASTM A536, Grade 100-70-03 is a ductile iron with a
tensile strength of 100 ksi (689 MPa); a yield strength of
70 ksi (483 MPa); 3% elongation (brittle); modulus of
elasticity (stiffness) of 24x10 6 psi (165 GPa).
ASTM A47, Grade 32510 is a malleable iron with a tensile
strength of 50 ksi (345 MPa); a yield strength of 32.5 ksi
(224 MPa); 10% elongation (ductile); modulus of elasticity
(stiffnes) of 26x10 6 (179 GPa.
(Table 2-11)
Aluminum 7178-T6 has the highest strength; tensile strength =
88 ksi (607 MPa); yield strength = 78 ksi (538 MPa).

Loading page 9...

Loading page 10...

8
See Section 2-17, Table 2-16, Figures 2-23 and 2-24 for
answers to Questions 74 to 100.
Questions 70-73 refer to Figure 2-23 and Table 2-17 in the text.
General conclusions from Questions 70-73: The specific
strengths of the metals listed range from 0.194x10 6 to
1.00x10 6 , approximately a factor of 5.0. The specific
stiffnesses are very nearly equal for all metals listed,
approximately 1.0x10 8 in. The specific strengths of the
composites listed range from 1.87 to 4.88x10 6 in, much
higher than any of the metals. Glass/epoxy has a specific
stiffness about 2/3 that of the metals. The other
composites listed range from 2.2 to 8.3 times as stiff as
the metals.

Loading page 11...

Loading page 12...

Loading page 13...

11
CHAPTER 3
STRESS AND DEFORMATION ANALYSIS
Direct Tension and Compression
1. ;ܣ/ܨ ൌ ߪ ܣൌ ߨሺ18 ଶ െ 12 ଶ ሻ/4 ൌ ૚૝૚. ૝ ܕܕ ૛
ߪൌ 4500 N/141.4 mmଶ ൌ 31.8 N/mmଶ ൌ ૜૚. ૡ ܉۾ۻ
ൌ ߜ ௉௅
ா஺ ൌ ሺସହ଴଴ ୒ሻሺ଻ହ଴ ୫୫ሻ
ሺଶ଴଻ൈଵ଴వ ୒/୫୫మ ሻሺଵସଵ.ସ ୫୫మ ሻ ൈ ଵ଴ల ୫୫మ
୫ మ ൌ ૙. ૚૛ ܕܕ
2. ߪൌ ܣ/ܨൌ 3500 N/ሺߨሺ10ሻଶ /4 ሻ mmଶ ൌ ૝૝. ૟ ܉۾ۻ
3. ߪൌ ܣ/ܨൌ 20 ൈ 10 ଷ N/ሺ10 ∙ 30ሻ mmଶ ൌ ૟૟. ૠ ܉۾ۻ
4. ߪൌ ܣ/ܨൌ 860 lb/ሺ0.40 ݊݅ ሻଶ ܑܛܘ ൌ ૞૜ૠ૞
5. ߪൌ ܣ/ܨൌ 1900 lb/ሺߨሺ0.375 ݊݅ ሻଶ /4ሻ ൌ ૚ૠ ૛૙૙ ܑܛܘ
6. ;ܣ/ ܲൌ ߪ ൌ ܣ ݉݉ ሺ12 ሻ ଶ ൌ 144 mmଶ ; ߪൌ 5000 N/144 mmଶ ሻܔܔۯሺ ܉۾ۻ ૠ .ൌ ૜૝
ൌ ߜ ௉௅
ா஺ ൌ ሺହ଴଴଴ ேሻሺଵ଺ହ଴ ௠௠ሻ
ሺா ே/௠௠ మ ሻሺଵସସ ௠௠ మ ሻ ൌ ହ଻ ଶଽଶ
ா mm
a) SAE 1020; ܧൌ 207 GPa ൌ 207 ൈ 10ଷ N/mmଶ ; ࢾ ൌ ૙. ૛ૠૠ ܕܕ
b) SAE 8650; ܧൌ 207 GPa; ࢾ ൌ ૙. ૛ૠૠ ܕܕ
c) Ductile iron A536(60-40-18); ܧൌ 165 GPa; ࢾ ൌ ૙. ૜૝ૠ ܕܕ
d) Aluminum 6061-T6; ܧൌ 69 GPa; ࢾ ൌ ૙. ૡ૜૙ ܕܕ
e) Titanium Ti-6AL-4V; ܧൌ 114 GPa; ࢾ ൌ ૙. ૞૙૜ ܕܕ
f) PVC; Tensile Modulus ൌ ܧൌ 2410 MPa ൌ 2410 N/mm ଶ ; ࢾ ൌ ૛૜. ૡ ܕܕ
g) Phenolic; ܧൌ 7580 MPa; ࢾ ൌ ૠ. ૞૟ ܕܕ
Note: The stress is close to the ultimate for f and g.

Loading page 14...

12
7. ܲ;ܣܧ/ܮ ܲൌ ߜ ൌ ఋா஺
௅
ܣൌ ሺ2.25ଶ െ 2.01 ଶ ሻ in ଶ ൌ ૚. ૙૛ ܑ ܖ ૛ܲ
ൌ ሺ଴.଴଴ସ ୧୬ሻ൫ଵ଴ൈଵ଴ల ୪ୠ/୧୬మ ൯൫ଵ.଴ଶ ୧୬మ ൯
ଵ଺.଴ ୧୬ ൌ ૛૞૞૟ ܊ܔ
ߪൌ ܣ/ ܲൌ 2556 lb/1.02 in ଶ ܑܛܘ ൌ ૛૞૙૟
8. ܨൌ 2500 lb; ܯΣ஻ ൌ 0 ൌ 2500ሺ75ሻ െ ܨ௖ ሺ60ሻ
ܨ௖ ൌ 2500ሺ75/60ሻ ൌ 3125 lb ൌ Tensile force in ܥܣ
ൌ ߪ ௉
஺ ൌ ଷଵଶହ ୪ୠ
ሺଵ.ହ଴ሻሺଷ.ହ଴ሻ ୧୬మ ܑܛܘ ൌ ૞ૢ૞
9. ܨ2ோ ߠ ݊݅ݏൌ 1500 lb
ܨோ ൌ 1500/ሺ2 ݊݅ݏ ሺ45°ሻሻ ൌ ૚૙૟૚ ܊ܔ
10. ;ܣ/ ܲൌ ߪ Required ܣൌܲ /ߪ ௔௟௟௢௪
ൌ ܣ ଵ଴଺ଵ ୪ୠ
ଵ଼ ଴଴଴ ୪ୠ/୧୬ మ ൌ 0.0589 in ଶ ܦߨ ൌ ଶ /4
ܦൌ ට
ସ஺
గ ൌ ට ସሺ଴.଴ହ଼ଽ ሻ
గ ൌ ૙. ૛ૠ૝ ܑ ܖ ܕܝܕܑܖܑܕ
11. ߠൌ 15°; ܨோ ൌ ଵହ଴଴ ௟௕
ଶ ௦௜௡ ఏ ൌ ଵହ଴଴ ௟௕
ଶ ௦௜௡ሺଵହሻ ൌ 2898 lb
ܣൌ 2898/18 000 ൌ 0.161 inଶ ; ࡰൌ ට ૝ሺ૙.૚૟૚ሻ࣊ ൌ ૙. ૝૞૜ ܑ ܖ
2.25 in 2.01 in
50
60
75
ܨோ ܨோ
ߠ
ܨൌ 1500 lb
ܨ
A
B
C

Loading page 15...

13
12. Joint B
Joint A
Stresses:
AB, BC: ߪ஺஻ ߪ ൌ஻஼ ൌ ଽ.଴ଽൈଵ଴య ே
ሺଵଶሻሺଷ଴ሻ ௠௠ మ ൌ ૛૞. ૜ ܉۾ۻ ܖܗܑܛܖ܍܂
BD: ߪ஻஽ ൌ ଵ଴.ହൈଵ଴య ே
ሺଶሻሺଵ଴ሻሺଷ଴ሻ ௠௠ మ ൌ ૚ૠ. ૞ ܉۾ۻ ܖܗܑܛܖ܍܂
AD, CD: ܣൌ ሺ30ሻ ଶ െ ሺ20ሻ ଶ ൌ 500 mm ଶ
ߪ஺஽ ߪ ൌ஼஽ ൌି ଵ଴.ହൈଵ଴ య ே
ହ଴଴ ௠௠ మ ൌ െ૛૚. ૙ ܉۾ۻ ܖܗܑܛܛ܍ܚܘܕܗ۱
13. Figure P3‐13
ܯΣ஺ ൌ 0 ൌ 6000ሺ6ሻ ൅ 12 000ሺ12ሻ െܴ ி ሺ18ሻܴ
ி ൌ 10 000 lb
ܯΣி ൌ 0 ൌ 12 000ሺ6ሻ ൅ 6000ሺ12ሻ െܴ ஺ ሺ18ሻܴ
஺ ൌ 8000 lb
Note: sin ࣂ = 8/10 = 0.80; cos ࣂ = 6/10 = 0.60
ܣܤ ܥܤ
ܤ
ܣܦ
ܣ 30° ܣܤ
5.25 kN
5.25 kN 10.5 kN 5.25
30°30°ܣ
ܦ
ܥܤ
10.5 kN
ܦܤൌ 10.5 kN
ߠ
6 ߠ
ߠ
ߠ
18
66
6000 12 000
8 8
ܣܴ
஺ܴ ி
10
ܤ ܥ
ܦ ܧ
ܨ
AD sin 30 = 5.25 kN ↓
AD = 10.5 kN = CD
AB = AD cos 30 = 9.09 kN = BC →

Loading page 16...

13 more pages available. Scroll down to load them.

Preview Mode

100%

Study Now!

XY-Copilot AI

Unlimited Access

Secure Payment

Instant Access

24/7 Support

Document Chat

Document Details

Subject

Mechanical Engineering

Solution Manual for Machine Elements in Mechanical Design, 6th Edition

Study Now!

Document Details

Related Documents

A system is a group of parts that work together to

Solution Manual for Introduction to Robotics: Mechanics and Control, 4th Edition

Solution Manual For Thermodynamics: An Interactive Approach, 1st Edition

Solution Manual For Thermal Radiation Heat Transfer, 6th Edition

Solution Manual For Design Of Machine Elements, 8th Edition

Solution Manual For Applied Strength Of Materials, 5th Edition

Solution Manual For System Dynamics, 4th Edition

Solution Manual For Theory Of Vibrations With Applications, 5th Edition

Mechanical Vibrations: Theory and Applications 1st Edition Solution Manual

Solution Manual for Design of Machinery: An Introduction to the Synthesis and Analysis of Mechanisms and Machines, 5th Edition

Company

Explore

Study Tools