
DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Textbook Question
Chapter 31, Problem 45RQ
Under what conditions should shaving not be used for finishing gears?
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
3
14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Chapter 31 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 31 - How does the pitch diameter differ from the major...Ch. 31 - Prob. 2RQCh. 31 - Prob. 3RQCh. 31 - Prob. 4RQCh. 31 - Prob. 5RQCh. 31 - Explain the meaning of 14 -20 UNC-3A.Ch. 31 - Prob. 7RQCh. 31 - Prob. 8RQCh. 31 - Prob. 9RQCh. 31 - Prob. 10RQ
Ch. 31 - Prob. 11RQCh. 31 - Prob. 12RQCh. 31 - Prob. 13RQCh. 31 - What is the reason for using a taper tap before a...Ch. 31 - Prob. 15RQCh. 31 - Can a fluteless tap be used for threading a hole...Ch. 31 - What provisions should a designer make so that a...Ch. 31 - What is the major advantage of a spiral-point tap?Ch. 31 - Prob. 19RQCh. 31 - Is it desirable for a tapping fluid to have...Ch. 31 - How does thread milling differ from thread...Ch. 31 - What are the advantages of making threads by...Ch. 31 - Prob. 23RQCh. 31 - Prob. 24RQCh. 31 - What is a fluteless tap?Ch. 31 - Why is the involute form used for gear teeth?Ch. 31 - What is the diametral pitch of a gear?Ch. 31 - What is the relationship between the diametral...Ch. 31 - On a sketch of a gear, indicate the pitch circle,...Ch. 31 - What five requirements must be met for gears to...Ch. 31 - What are the advantages of helical gears compared...Ch. 31 - Prob. 32RQCh. 31 - What difficulty would be encountered in bobbing a...Ch. 31 - What is the only type of machine on which...Ch. 31 - Prob. 35RQCh. 31 - Why arent more gears made by broaching?Ch. 31 - What is the most important property of a crown...Ch. 31 - What are three basic processes for machining...Ch. 31 - Which basic gear-machining process is utilized in...Ch. 31 - When a helical gear is machined on a milling...Ch. 31 - Why is a gear-hobbing machine much more productive...Ch. 31 - Prob. 42RQCh. 31 - What are the advantages of cold-roll forming for...Ch. 31 - Prob. 44RQCh. 31 - Under what conditions should shaving not be used...Ch. 31 - Prob. 46RQCh. 31 - Can lapping be used to finish cast iron gears?Ch. 31 - What factors are usually checked in inspecting...Ch. 31 - What are the basic methods for gear finishing?Ch. 31 - A hob that has a pitch diameter of 76.2 mm is used...Ch. 31 - In Figure 31.17, a form-milling operation and...Ch. 31 - A gear-broaching machine can complete the gear in...Ch. 31 - Prob. 4PCh. 31 - If only three gears described in Problem 4 were to...Ch. 31 - Based on the size and shape of the product,...Ch. 31 - What type of engineering materials might be able...Ch. 31 - Prob. 3CS
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