Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 7, Problem 54QTP
(a)
To determine
For five polymers, sketch the UTS versus density graph.
(b)
To determine
For five polymers, sketch the elastic modulus versus UTS where appropriate, plot a range of values.
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
Chapter 7 Solutions
Manufacturing Engineering & Technology
Ch. 7 - Summarize the important mechanical and physical...Ch. 7 - What are the major differences between the (a)...Ch. 7 - List properties that are influenced by the degree...Ch. 7 - What is the difference between condensation...Ch. 7 - Explain the differences between linear, branched,...Ch. 7 - What is the glass-transition temperature?Ch. 7 - List and explain the additives commonly used in...Ch. 7 - What is crazing?Ch. 7 - What are polyblends?Ch. 7 - List the major differences between thermoplastics...
Ch. 7 - What is an elastomer?Ch. 7 - What effects does a plasticizing agent have on a...Ch. 7 - Define the following abbreviations: PMMA, PVC,...Ch. 7 - Explain why it would be advantageous to produce a...Ch. 7 - What are the differences and similarities of...Ch. 7 - Are molecular weight and degree of polymerization...Ch. 7 - Why do polymers need to be dried before...Ch. 7 - What characteristics of polymers make them...Ch. 7 - Do polymers strain harden more than metals or vice...Ch. 7 - Inspect various plastic components in an...Ch. 7 - Give applications for which flammability of...Ch. 7 - What characteristics make polymers advantageous...Ch. 7 - What properties do elastomers have that...Ch. 7 - Do you think that the substitution of plastics for...Ch. 7 - Is it possible for a material to have a hysteresis...Ch. 7 - Observe the behavior of the specimen shown in Fig....Ch. 7 - Add more to the applications column in Table 7.3.Ch. 7 - Discuss the significance of the glass-transition...Ch. 7 - Prob. 29QLPCh. 7 - Explain how cross-linking improves the strength of...Ch. 7 - Describe the methods by which the optical...Ch. 7 - How can polymers be made to conduct electricity?...Ch. 7 - Explain the reasons for which elastomers were...Ch. 7 - Give several examples of plastic products or...Ch. 7 - Describe your opinions regarding the recycling of...Ch. 7 - Explain how you would go about determining the...Ch. 7 - Compare the values of the elastic modulus, given...Ch. 7 - Why is there so much variation in the stiffness of...Ch. 7 - Explain why thermoplastics are easier to recycle...Ch. 7 - Give an example where crazing is desirable.Ch. 7 - Describe the principle behind shrink wrapping.Ch. 7 - List and explain some environmental pros and cons...Ch. 7 - List the characteristics required of a polymer for...Ch. 7 - How can you tell whether a part is made of a...Ch. 7 - As you know, there are plastic paper clips...Ch. 7 - By incorporating small amounts of a blowing agent,...Ch. 7 - In injection-molding operations (Section 19.3), it...Ch. 7 - From an environmental standpoint, do you feel it...Ch. 7 - Calculate the areas under the stressstrain curve...Ch. 7 - Prob. 50QTPCh. 7 - Prob. 51QTPCh. 7 - Estimate the number of molecules in a typical...Ch. 7 - Using strength and density data, determine the...Ch. 7 - Prob. 54QTPCh. 7 - Prob. 55SDPCh. 7 - Describe the design considerations involved in...Ch. 7 - Assume that you are manufacturing a product in...Ch. 7 - Assume you work for a company that produces...Ch. 7 - Prob. 59SDPCh. 7 - Make a list of products or parts that currently...Ch. 7 - Prob. 61SDPCh. 7 - Prob. 62SDPCh. 7 - Prob. 63SDPCh. 7 - Prob. 64SDPCh. 7 - With Table 7.3 as a guide, inspect various...
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