Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 16, Problem 77SDP
Design a box that will contain a 4-in. × 6-in. × 3-in. volume. The box should be produced from two pieces of sheet metal and require no tools or fasteners for assembly.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Spur gears
Note : Exam is open notes &tables / Answer all questions.
Q.1. The press shown for Figure.1 has a rated load
of 22 kN. The twin screws have double start Acme
threads, a diameter of 50 mm, and a pitch of 6 mm.
Coefficients of friction are 0.05 for the threads and
0.08 for the collar bearings. Collar diameters are 90
mm. The gears have an efficiency of 95 percent and a
speed ratio of 60:1. A slip clutch, on the motor shaft,
prevents overloading. The full-load motor speed is
1720 rev/min.
(a) When the motor is turned on, how fast will the
press head move? (Vm= , Vser. =
)
(5M)
(b) What should be the horsepower rating of the
motor? (TR=, Tc= Pser. =
"
Bronze
bushings
Foot
Motor
Bearings
watt, Pm= watt, Pm= h.p.) (20M)
2['s
Fig.1
Worm
Collar
bearing
Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.
An aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.
Chapter 16 Solutions
Manufacturing Engineering & Technology
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Problem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forwardProblem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forwardProblem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forward
- I need part all parts please in detail (including f)arrow_forwardProblem 3 (10 pts, suggested time 5 mins). In class we considered the mutiphysics problem of thermal stresses in a rod. When using linear shape functions, we found that the stress in the rod is affected by unphysical oscillations like in the following plot E*(ux-a*T) 35000 30000 25000 20000 15000 10000 5000 -5000 -10000 0 Line Graph: E*(ux-a*T) MULT 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Arc length (a) [10pts] What is the origin of this issue and how can we fix it?arrow_forwardanswer the questions and explain all of it in words. Ignore where it says screencast and in class explanationarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Refrigeration and Air Conditioning Technology (Mi...Mechanical EngineeringISBN:9781305578296Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill JohnsonPublisher:Cengage Learning
Welding: Principles and Applications (MindTap Cou...Mechanical EngineeringISBN:9781305494695Author:Larry JeffusPublisher:Cengage Learning
Refrigeration and Air Conditioning Technology (Mi...
Mechanical Engineering
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:Cengage Learning
Welding: Principles and Applications (MindTap Cou...
Mechanical Engineering
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Cengage Learning
Types of Manufacturing Process | Manufacturing Processes; Author: Magic Marks;https://www.youtube.com/watch?v=koULXptaBTs;License: Standard Youtube License