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 19, Problem 37RQ
What is the benefit of using a urethane (rubber) bottom die in bending operations?
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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 19 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 19 - What distinguishes sheet forming from bulk...Ch. 19 - What is a definition of shearing?Ch. 19 - Prob. 3RQCh. 19 - What measures can be employed to improve the...Ch. 19 - How does fineblanking create shearing in a...Ch. 19 - Prob. 6RQCh. 19 - What types of cuts are made by squaring shears?Ch. 19 - Why might a long shearing cut be made in a...Ch. 19 - What is a slitting operation?Ch. 19 - What is the difference between piercing and...
Ch. 19 - Prob. 11RQCh. 19 - Prob. 12RQCh. 19 - Prob. 13RQCh. 19 - Prob. 14RQCh. 19 - Prob. 15RQCh. 19 - Prob. 16RQCh. 19 - What is the benefit of making dies as a multipiece...Ch. 19 - Prob. 18RQCh. 19 - Prob. 19RQCh. 19 - Prob. 20RQCh. 19 - Prob. 21RQCh. 19 - Prob. 22RQCh. 19 - When making bends in sheet metal, what is the...Ch. 19 - Prob. 24RQCh. 19 - Prob. 25RQCh. 19 - Why does a metal usually become thinner in the...Ch. 19 - Prob. 27RQCh. 19 - Prob. 28RQCh. 19 - Prob. 29RQCh. 19 - What types of operations can be performed on a...Ch. 19 - Prob. 31RQCh. 19 - Prob. 32RQCh. 19 - Prob. 33RQCh. 19 - Prob. 34RQCh. 19 - What is the primary benefit of incorporating a...Ch. 19 - Prob. 36RQCh. 19 - What is the benefit of using a urethane (rubber)...Ch. 19 - What is the objective of the roll bending process?Ch. 19 - What is the role of the form block in draw bending...Ch. 19 - Prob. 40RQCh. 19 - Prob. 41RQCh. 19 - Prob. 42RQCh. 19 - Prob. 43RQCh. 19 - Prob. 44RQCh. 19 - Prob. 45RQCh. 19 - Prob. 46RQCh. 19 - Prob. 47RQCh. 19 - Prob. 48RQCh. 19 - Prob. 49RQCh. 19 - Prob. 50RQCh. 19 - Prob. 51RQCh. 19 - Prob. 52RQCh. 19 - Prob. 53RQCh. 19 - What is the distinction between shallow drawing...Ch. 19 - What is the function of the pressure ring or...Ch. 19 - Prob. 56RQCh. 19 - Prob. 57RQCh. 19 - Prob. 58RQCh. 19 - Prob. 59RQCh. 19 - Prob. 60RQCh. 19 - Prob. 61RQCh. 19 - Prob. 62RQCh. 19 - Prob. 63RQCh. 19 - Prob. 64RQCh. 19 - Prob. 65RQCh. 19 - Prob. 66RQCh. 19 - Prob. 67RQCh. 19 - Prob. 68RQCh. 19 - Prob. 69RQCh. 19 - Prob. 70RQCh. 19 - Prob. 71RQCh. 19 - Prob. 72RQCh. 19 - Prob. 73RQCh. 19 - Prob. 74RQCh. 19 - Prob. 75RQCh. 19 - What are some of the basic methods that have been...Ch. 19 - Prob. 77RQCh. 19 - Prob. 78RQCh. 19 - Prob. 79RQCh. 19 - Prob. 80RQCh. 19 - Prob. 81RQCh. 19 - What properties from a uniaxial tensile test can...Ch. 19 - How is the formability in biaxial tension...Ch. 19 - What is normal anisotropy, R and planar...Ch. 19 - Prob. 85RQCh. 19 - Prob. 86RQCh. 19 - Prob. 87RQCh. 19 - Prob. 88RQCh. 19 - What two hot�forming operations can be used to...Ch. 19 - Prob. 90RQCh. 19 - What are the primary assets and limitations of...Ch. 19 - Prob. 92RQCh. 19 - Prob. 93RQCh. 19 - What are some of the attractive features of...Ch. 19 - What are some of the common types of press frames?Ch. 19 - What are some features that may be included into a...Ch. 19 - Prob. 97RQCh. 19 - Prob. 98RQCh. 19 - Prob. 99RQCh. 19 - Prob. 100RQCh. 19 - The maximum punch force in blanking can be...Ch. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - What are some of the techniques for minimizing the...Ch. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Prob. 1CSCh. 19 - Prob. 2CSCh. 19 - Prob. 3CSCh. 19 - Polymeric materials have characteristically low...Ch. 19 - If adhesive bonding is specified as a replacement...Ch. 19 - Which of the material/process options do you feel...Ch. 19 - Prob. 7CSCh. 19 - Prob. 8CS
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