DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 18, Problem 91RQ
How might a peening operation increase the fracture resistance and fatigue life of a product?
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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 18 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 18 - Briefly describe the evolution of forming...Ch. 18 - What are some of the possible means of classifying...Ch. 18 - How are bulk deformation processes different from...Ch. 18 - Prob. 4RQCh. 18 - Prob. 5RQCh. 18 - Prob. 6RQCh. 18 - Prob. 7RQCh. 18 - Why is it undesirable to minimize friction between...Ch. 18 - Prob. 9RQCh. 18 - Prob. 10RQ
Ch. 18 - Prob. 11RQCh. 18 - Prob. 12RQCh. 18 - Prob. 13RQCh. 18 - Prob. 14RQCh. 18 - Why is foil almost always rolled on a cluster...Ch. 18 - Prob. 16RQCh. 18 - Prob. 17RQCh. 18 - Prob. 18RQCh. 18 - Prob. 19RQCh. 18 - Explain how hot�rolled products can have...Ch. 18 - What is mill scale, and how can it be removed?Ch. 18 - Discuss the problems in producing uniform...Ch. 18 - Prob. 23RQCh. 18 - How might the addition of horizontal tensions act...Ch. 18 - What are some other techniques to reduce roll...Ch. 18 - What is thermomechanical processing, and what are...Ch. 18 - Provide a concise description of the forging...Ch. 18 - What are some of the types of flow that can occur...Ch. 18 - Prob. 29RQCh. 18 - Prob. 30RQCh. 18 - Prob. 31RQCh. 18 - Prob. 32RQCh. 18 - Prob. 33RQCh. 18 - Prob. 34RQCh. 18 - Prob. 35RQCh. 18 - Prob. 36RQCh. 18 - Prob. 37RQCh. 18 - Prob. 38RQCh. 18 - Prob. 39RQCh. 18 - Describe some of the primary differences among...Ch. 18 - What are some common examples of impression�die...Ch. 18 - What are some of the significant requirements of...Ch. 18 - Why are different tolerances usually applied to...Ch. 18 - What are some of the roles played by lubricants in...Ch. 18 - What are some of the attractive features of...Ch. 18 - What types of product geometry can be produced by...Ch. 18 - What is upset forging?Ch. 18 - What are some of the typical products produced by...Ch. 18 - What types of products can be produced by...Ch. 18 - What are some of the attractive features of...Ch. 18 - How does roll forging differ from a conventional...Ch. 18 - Describe the swaging process.Ch. 18 - What kind of products are produced by swaging?Ch. 18 - How can the swaging process impart different sizes...Ch. 18 - What are some possible objectives of...Ch. 18 - Provide a concise definition of extrusion.Ch. 18 - What metals can be shaped by extrusion?Ch. 18 - What are some of the attractive features of the...Ch. 18 - What is the primary shape limitation of the...Ch. 18 - What is the primary benefit of indirect extrusion?Ch. 18 - What are some temperature considerations in hot...Ch. 18 - Why might lubricant selection be more critical in...Ch. 18 - What are some possible causes of surface cracks in...Ch. 18 - How might tubular products be made by extrusion?Ch. 18 - What types of products are made using a...Ch. 18 - Why can lubricants not be used in spider�mandrel...Ch. 18 - What are some of the attractive features of...Ch. 18 - What are some unique concerns and limitations of...Ch. 18 - What is the unique capability provided by...Ch. 18 - How is the feedstock pushed through the die in...Ch. 18 - Describe the Conform process of continuous...Ch. 18 - What types of feedstock can be used in continuous...Ch. 18 - How is wire, rod, and tube drawing different from...Ch. 18 - Why are rods generally drawn on draw benches,...Ch. 18 - Why is the reduction in area significantly...Ch. 18 - What is the difference between tube drawing and...Ch. 18 - For what types of products might a floating plug...Ch. 18 - What are some of the benefits of cold drawing of...Ch. 18 - What types of materials are used for...Ch. 18 - What is the benefit of a tandem wire drawing...Ch. 18 - What is cold forming?Ch. 18 - What types of products are produced by cold...Ch. 18 - What is impact extrusion and what variations...Ch. 18 - If a product contains a large�diameter head and...Ch. 18 - What are some of the attractive properties or...Ch. 18 - What process can be used to produce seamless pipe...Ch. 18 - What type of products can be made by the...Ch. 18 - What types of rivets can be used when there is...Ch. 18 - How is coining different from a process known as...Ch. 18 - Why might hubbing be an attractive way to produce...Ch. 18 - How might a peening operation increase the...Ch. 18 - What is burnishing?Ch. 18 - Prob. 1PCh. 18 - Consider the extrusion of a cylindrical billet,...Ch. 18 - The force required to compress a cylindrical solid...Ch. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Based on the size, shape, and desired precision,...Ch. 18 - What types of engineering materials might be able...Ch. 18 - For each of the shape generation methods in part...Ch. 18 - Which of the combinations of part 4 do you feel...Ch. 18 - For this system, outline the specific steps that...Ch. 18 - For your proposed solution, would any additional...
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