Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 13, Problem 47SDP
Design a set of rolls to produce cross-sections other than those shown in Fig. 13.12.
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Students have asked these similar questions
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 13 Solutions
Manufacturing Engineering & Technology
Ch. 13 - What is the difference between a plate and a...Ch. 13 - Define roll gap, neutral point, and draft.Ch. 13 - What factors contribute to spreading in flat...Ch. 13 - What is forward slip? Why is it important?Ch. 13 - Describe the types of deflections that rolls...Ch. 13 - Describe the difference between a bloom, a slab,...Ch. 13 - Why may roller leveling be a necessary operation?Ch. 13 - List the defects commonly observed in flat...Ch. 13 - What are the advantages of tandem rolling? Pack...Ch. 13 - How are seamless tubes produced?
Ch. 13 - Why is the surface finish of a rolled product...Ch. 13 - What is a Sendzimir mill? What are its important...Ch. 13 - What is the Mannesmann process? How is it...Ch. 13 - Describe ring rolling. Is there a neutral plane in...Ch. 13 - How is back tension generated?Ch. 13 - Explain why the rolling process was invented and...Ch. 13 - Flat rolling reduces the thickness of plates and...Ch. 13 - Explain how the residual stress patterns shown in...Ch. 13 - Explain whether it would be practical to apply the...Ch. 13 - Describe the factors that influence the magnitude...Ch. 13 - Explain how you would go about applying front and...Ch. 13 - What typically is done to make sure that the...Ch. 13 - Make a list of parts that can be made by (a) shape...Ch. 13 - Describe the methods by which roll flattening can...Ch. 13 - It was stated that spreading in flat rolling...Ch. 13 - Flat rolling can be carried out by front tension...Ch. 13 - Explain the consequence of applying too high a...Ch. 13 - Note in Fig. 13.3f that the driven rolls (powered...Ch. 13 - Describe the importance of controlling roll...Ch. 13 - In Fig. 13.9a, if you remove the top compressive...Ch. 13 - Name several products that can be made by each of...Ch. 13 - List the possible consequences of rolling at (a)...Ch. 13 - It is known that in thread rolling, as illustrated...Ch. 13 - If a rolling mill encounters chatter, what process...Ch. 13 - Can the forward slip ever become negative? Why or...Ch. 13 - In Example 13.1, calculate the roll force and the...Ch. 13 - Calculate the individual drafts in each of the...Ch. 13 - Estimate the roll force, F, and the torque for an...Ch. 13 - A rolling operation takes place under the...Ch. 13 - Estimate the roll force and power for annealed...Ch. 13 - A flat-rolling operation is being carried out...Ch. 13 - A simple sketch of a four-high mill stand is shown...Ch. 13 - Obtain a piece of soft, round rubber eraser, such...Ch. 13 - If you repeat the experiment in Problem 13.45 with...Ch. 13 - Design a set of rolls to produce cross-sections...Ch. 13 - Design an experimental procedure for determining...Ch. 13 - Derive an expression for the thickest workpiece...
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- 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 B y(t) 100 L y(0) = 20 kg 2 L/min 1 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t > 0: Analytically (hand calculations)arrow_forwardTwo 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. www.m k₁ = 3 (y₁ = 0). m₁ = 1 k2=2 (y₂ = 0) |m₂ = 1 Y2 y 2 System in static equilibrium (Net change in spring length =32-31) 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)arrow_forward100 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)arrow_forward
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