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 2, Problem 61RQ
How might the orientation of a piece of metal (with respect to its rolling direction) affect properties such as fracture resistance?
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F1
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X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
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direction in degrees, ẞ =
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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.
Chapter 2 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 2 - Prob. 1RQCh. 2 - Provide two definitions of the termÂ...Ch. 2 - Knowledge of what four aspects and their...Ch. 2 - Give an example of how we might take advantage of...Ch. 2 - What are some of the possible property...Ch. 2 - What are some properties commonly associated with...Ch. 2 - What are some of the more common nonmetallic...Ch. 2 - What are some of the important physical properties...Ch. 2 - Why should caution be exercised when applying the...Ch. 2 - What are the standard units used to report stress...
Ch. 2 - What are static properties?Ch. 2 - What is the most common static test to determine...Ch. 2 - What is engineering stress? Engineering strain?...Ch. 2 - What is Youngs modulus or stiffness, and why might...Ch. 2 - What are some of the tensile test properties that...Ch. 2 - Why is it important to specify the offset when...Ch. 2 - How is the offset yield strength determined?Ch. 2 - During the plastic deformation portion of a...Ch. 2 - What are the test conditions associated with...Ch. 2 - How would the tensile test curves differ for a...Ch. 2 - What are two tensile test properties that can be...Ch. 2 - What is uniform elongation, and when might it be...Ch. 2 - Is a brittle material a weak material? What does...Ch. 2 - What is the toughness of a material, and how might...Ch. 2 - What is the difference between true stress and...Ch. 2 - Explain how the plastic portion of a true...Ch. 2 - What is strain hardening or work hardening? How...Ch. 2 - Give examples of applications utilizing high...Ch. 2 - How might tensile test data be misleading for a...Ch. 2 - What type of tests can be used to determine the...Ch. 2 - What are some of the different material...Ch. 2 - What units could be applied to the Brinell...Ch. 2 - Although the Brinell hardness test is simple and...Ch. 2 - What are the similarities and differences between...Ch. 2 - Why are there different Rockwell hardness scales?Ch. 2 - How might hardness tests be used for quality...Ch. 2 - What are the attractive features of the Vickers...Ch. 2 - When might a microhardness test be preferred over...Ch. 2 - What is the attractive feature of the Knoop...Ch. 2 - Why might the various types of hardness tests fail...Ch. 2 - What is the relationship between penetration...Ch. 2 - Describe several types of dynamic loading.Ch. 2 - Why should the results of standardized dynamic...Ch. 2 - What are the two most common types of bending...Ch. 2 - What aspects or features can significantly alter...Ch. 2 - What is notch�sensitivity, and how might it be...Ch. 2 - Which type of dynamic condition accounts for...Ch. 2 - Are the stresses applied during a fatigue test...Ch. 2 - Is a fatigue S–N curve determined from a...Ch. 2 - What is the endurance limit? What occurs when...Ch. 2 - What features may significantly alter the fatigue...Ch. 2 - What relationship can be used to estimate the...Ch. 2 - Describe the growth of a fatigue crack.Ch. 2 - What material, design, or manufacturing features...Ch. 2 - How might the relative sizes of the fatigue region...Ch. 2 - What are fatigue striations, and why do they form?Ch. 2 - Why is it important for a designer or engineer to...Ch. 2 - What mechanical property changes are typically...Ch. 2 - Prob. 59RQCh. 2 - Prob. 60RQCh. 2 - How might the orientation of a piece of metal...Ch. 2 - How might we evaluate the long�term effect of...Ch. 2 - Prob. 63RQCh. 2 - What is a stress–rupture diagram, and how is one...Ch. 2 - Why are terms such as machinability, formability,...Ch. 2 - Prob. 66RQCh. 2 - What are some of the types of flaws or defects...Ch. 2 - What three principal quantities does fracture...Ch. 2 - What is a dormant flaw? A dynamic flaw? How do...Ch. 2 - How is fracture mechanics applied to fatigue...Ch. 2 - What are the three most common thermal properties...Ch. 2 - Describe an engineering application where the...Ch. 2 - Why is it important that property testing be...Ch. 2 - Why is it important to consider the orientation of...Ch. 2 - Select a product or component for which physical...Ch. 2 - Repeat Problem 1 for a product or component...Ch. 2 - Repeat Problem 1 for a product or component...Ch. 2 - A fuel tanker or railroad tanker car has been...Ch. 2 - One of the important considerations when selecting...Ch. 2 - Several of the property tests described in this...Ch. 2 - Steel and aluminum cans that have been submitted...Ch. 2 - Prob. 2CSCh. 2 - Prob. 3CSCh. 2 - Prob. 4CSCh. 2 - Prob. 5CSCh. 2 - Prob. 6CSCh. 2 - Mixed plastic consisting of recyclable...
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