EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Chapter 16, Problem 14RQ
How is roll forming fundamentally different from rolling?
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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)
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.
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)
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)
Chapter 16 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 16 - How does sheet-metal forming differ from rolling,...Ch. 16 - What causes burrs? How can they be reduced or...Ch. 16 - Prob. 3RQCh. 16 - Describe the difference between compound,...Ch. 16 - Describe the characteristics of sheet metals that...Ch. 16 - Describe the features of forming-limit diagrams...Ch. 16 - List the properties of materials that influence...Ch. 16 - Give one specific application for each of the...Ch. 16 - Why do tubes buckle when bent? What is the effect...Ch. 16 - Define normal anisotropy, and explain why it is...
Ch. 16 - Describe earing and why it occurs.Ch. 16 - What are the advantages of rubber forming? Which...Ch. 16 - Explain the difference between deep drawing and...Ch. 16 - How is roll forming fundamentally different from...Ch. 16 - What is nesting? What is its significance?Ch. 16 - Describe the differences between compound,...Ch. 16 - What is microforming?Ch. 16 - Explain the advantages of superplastic forming.Ch. 16 - What is hot stamping? For what materials is it...Ch. 16 - What is springback? What is negative springback?Ch. 16 - Explain the differences that you have observed...Ch. 16 - Take any three topics from Chapter 2, and, with...Ch. 16 - Do the same as for Problem 16.22, but for Chapter...Ch. 16 - Identify the material and process variables that...Ch. 16 - Explain why springback in bending depends on yield...Ch. 16 - Explain why cupping tests may not predict well the...Ch. 16 - Identify the factors that influence the...Ch. 16 - Why are the beads in Fig. 16.36b placed in those...Ch. 16 - A general rule for dimensional relationships for...Ch. 16 - Section 16.2 stated that the punch stripping force...Ch. 16 - Is it possible to have ironing take place in an...Ch. 16 - Note the roughness of the periphery of the flanged...Ch. 16 - What recommendations would you make in order to...Ch. 16 - It has been stated that the quality of the sheared...Ch. 16 - Give several specific examples from this chapter...Ch. 16 - As you can see, some of the operations described...Ch. 16 - Through changes in clamping or die design, it is...Ch. 16 - How would you produce the part shown in Fig....Ch. 16 - It has been stated that the thicker the sheet...Ch. 16 - Prob. 41QTPCh. 16 - Calculate the value of R in Problem 16.41. Will...Ch. 16 - Estimate the limiting drawing ratio for the...Ch. 16 - Using Eq. (16.15) and the K value for TNT, plot...Ch. 16 - Section 16.5 states that the k values in bend...Ch. 16 - For explosive forming, calculate the peak pressure...Ch. 16 - Measure the respective areas of the solid outlines...Ch. 16 - Plot Eq. (16.6) in terms of the elastic modulus,...Ch. 16 - What is the minimum bend radius for a 1.0-mm-thick...Ch. 16 - Survey the technical literature and explain the...Ch. 16 - Using the data in Table 16.3 and referring to Eq....Ch. 16 - What is the force required to punch a square hole...Ch. 16 - In Case Study 16.2, it was stated that the reason...Ch. 16 - A cup is being drawn from a sheet metal that has a...Ch. 16 - Prob. 55QTPCh. 16 - Figure P16.57 shows a parabolic profile that will...Ch. 16 - Prob. 59SDPCh. 16 - Consider several shapes to be blanked from a large...Ch. 16 - Prob. 61SDPCh. 16 - Many axisymmetric missile bodies are made by...Ch. 16 - Metal cans are either two-piece (in which the...Ch. 16 - The design shown in Fig. P16.65 is proposed for a...Ch. 16 - Suggest consumer-product designs that could...Ch. 16 - How would you produce the part shown in Fig. 16.44...Ch. 16 - Using a ball-peen hammer, strike the surface of...Ch. 16 - Inspect a common paper punch and observe the shape...Ch. 16 - Obtain an aluminum beverage can and slit it in...Ch. 16 - Prob. 71SDPCh. 16 - Prob. 73SDPCh. 16 - On the basis of experiments, it has been suggested...Ch. 16 - Design a box that will contain a 4-in. 6-in. ...Ch. 16 - Repeat Problem 16.77, but design the box from a...
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