Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 15, Problem 51SDP
To determine
How would you go about making a stepped extrusion that has increasingly larger cross-sections along its length? Is it possible? Would your process be economical and suitable for high production runs? Explain.
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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 15 Solutions
Manufacturing Engineering & Technology
Ch. 15 - How does extrusion differ from rolling and...Ch. 15 - Explain the difference between extrusion and...Ch. 15 - What is a spider die? What is it used for?Ch. 15 - Why are wires sometimes drawn in bundles?Ch. 15 - What is a dead-metal zone?Ch. 15 - Define the terms (a) cladding, (b) dummy block,...Ch. 15 - Why is glass a good lubricant in hot extrusion?Ch. 15 - What types of defects may occur in (a) extrusion...Ch. 15 - Describe the difference between direct and reverse...Ch. 15 - What is land? What is its function in a die?
Ch. 15 - How are tubes extruded? Can they also be drawn?...Ch. 15 - Prob. 12RQCh. 15 - What is the difference between piping and...Ch. 15 - What is impact extrusion?Ch. 15 - What is the pipe defect in extrusion?Ch. 15 - List the similarities and differences between...Ch. 15 - Explain why extrusion is a batch, or...Ch. 15 - The extrusion ratio, die geometry, extrusion...Ch. 15 - Explain why cold extrusion is an important...Ch. 15 - What is the function of a stripper plate in impact...Ch. 15 - Explain the different ways by which changing the...Ch. 15 - Glass is a good lubricant in hot extrusion. Would...Ch. 15 - How would you go about avoiding center-cracking...Ch. 15 - Table 15.1 gives temperature ranges for extruding...Ch. 15 - Will the force in direct extrusion vary as the...Ch. 15 - Comment on the significance of metal flow patterns...Ch. 15 - In which applications could you use the type of...Ch. 15 - What is the purpose of the land in a drawing die?...Ch. 15 - Can spur gears be made by (a) drawing and (b)...Ch. 15 - How would you prepare the end of a wire in order...Ch. 15 - What is the purpose of a dummy block in extrusion?...Ch. 15 - Describe your observations concerning Fig. 15.9.Ch. 15 - Occasionally, steel wire drawing will take place...Ch. 15 - Explain the advantages of bundle drawing.Ch. 15 - Under what circumstances would backward extrusion...Ch. 15 - Why is lubrication detrimental in extrusion with a...Ch. 15 - In hydrostatic extrusion, complex seals are used...Ch. 15 - Describe the purpose of a container liner in...Ch. 15 - Estimate the force required in extruding 7030...Ch. 15 - Assuming an ideal drawing process, what is the...Ch. 15 - Prob. 41QTPCh. 15 - Calculate the extrusion force for a round billet...Ch. 15 - Prob. 43QTPCh. 15 - A round wire made of a perfectly plastic material...Ch. 15 - Assume that the summary to this chapter is...Ch. 15 - Prob. 47SDPCh. 15 - Figure 15.2 shows examples of discrete parts that...Ch. 15 - The parts shown in Fig. 15.2 are economically...Ch. 15 - Survey the technical literature, and explain how...Ch. 15 - Prob. 51SDPCh. 15 - List the processes that are suitable for producing...
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