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 38, Problem 4RQ
What is the source of the welding heat in thermit welding?
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 38 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 38 - What are some joining conditions where welding...Ch. 38 - What are some of the lower-temperature methods of...Ch. 38 - In what ways is a thermit weld similar to the...Ch. 38 - What is the source of the welding heat in thermit...Ch. 38 - For what types of applications might thermit...Ch. 38 - What is the source of the welding heat in...Ch. 38 - What are some of the various functions of the slag...Ch. 38 - Electroslag welding would be most attractive for...Ch. 38 - What is the source of heat in electron-beam...Ch. 38 - Why is a high vacuum required in the electron-beam...
Ch. 38 - What types of production limitations are imposed...Ch. 38 - What are the major assets and negative features of...Ch. 38 - What are some of the attractive features of...Ch. 38 - What is unique about the fusion zone geometry of...Ch. 38 - Describe the weld pool geometry and size of the...Ch. 38 - What is an autogenous weld?Ch. 38 - What might be necessary to permit the laser...Ch. 38 - What are some of the Ways in which laser-beam...Ch. 38 - What are the three common types of industrial...Ch. 38 - Which type of laser light can be transmitted...Ch. 38 - What are some of the attractive features of a...Ch. 38 - Why is laser-beam welding an attractive process...Ch. 38 - What are the attractive properties of hybrid...Ch. 38 - Prob. 24RQCh. 38 - What is the function of the assist gas in...Ch. 38 - What is the difference between exothermic cutting...Ch. 38 - Which type of laser is preferred for cutting...Ch. 38 - Prob. 28RQCh. 38 - Prob. 29RQCh. 38 - What features have made lasers a common means of...Ch. 38 - What are some of the attractive features of laser...Ch. 38 - What are some common objectives of surfacing...Ch. 38 - What types of materials are applied by surfacing...Ch. 38 - Prob. 34RQCh. 38 - What is the benefit of high-velocity oxyfuel...Ch. 38 - What are some of the arc or plasma techniques that...Ch. 38 - How is thermal spraying similar to surfacing? How...Ch. 38 - Prob. 38RQCh. 38 - Prob. 39RQCh. 38 - Provide a reasonable definition of brazing?Ch. 38 - What are some key differences between brazing and...Ch. 38 - What kinds of materials or combinations can be...Ch. 38 - What advantages can be gained by the lower...Ch. 38 - Why do brazed joints have an enhanced...Ch. 38 - What is the most important factor influencing the...Ch. 38 - How does capillary action relate to joint...Ch. 38 - Why is it necessary to adjust the initial...Ch. 38 - What is wettability? Fluidity? How do each relate...Ch. 38 - What are the two most common types of brazed...Ch. 38 - How do the butt-lap and scarf joint configurations...Ch. 38 - What are some important considerations when...Ch. 38 - What are some of the most commonly used brazing...Ch. 38 - Why are eutectic alloys attractive as brazing...Ch. 38 - What special measures should be taken when brazing...Ch. 38 - What are the three primary functions of a brazing...Ch. 38 - Why is it important to preclean brazing surfaces...Ch. 38 - How might braze metal be preloaded into joints?Ch. 38 - What is the purpose of brazing jigs and fixtures?Ch. 38 - 59- What are some factors to consider when...Ch. 38 - What are the advantages and disadvantages of torch...Ch. 38 - What is the primary attraction of furnace-brazing...Ch. 38 - Why might reducing atmospheres or a vacuum be...Ch. 38 - What are some of the attractive features of...Ch. 38 - Why is dip brazing usually restricted to use with...Ch. 38 - What are some of the attractive features of...Ch. 38 - Why is flux removal a necessary part of many...Ch. 38 - What benefits can be achieved through fluxless...Ch. 38 - How does braze welding differ from traditional...Ch. 38 - What is the primary difference between brazing and...Ch. 38 - What are the six steps of a soldering operation?Ch. 38 - Why is soldering unattractive if a high-strength...Ch. 38 - For many years, the most common solders have been...Ch. 38 - What is driving the conversion to lead-free...Ch. 38 - What are some of the difficulties encountered when...Ch. 38 - What are the two basic families of soldering flux?Ch. 38 - What are some of the more common heat sources for...Ch. 38 - Why is wave soldering attractive for making the...Ch. 38 - Describe the vapor-phase soldering process.Ch. 38 - A common problem with brazed or soldered joints is...Ch. 38 - When molten metal deposition is applied to a...Ch. 38 - Prob. 3P
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