DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 1, Problem 19RQ
What are the physical elements in a manufacturing system?
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Chapter 1 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 1 - What role does manufacturing play relative to the...Ch. 1 - Arent all goods really consumer goods, depending...Ch. 1 - The Subway sandwich shop is an example of a job...Ch. 1 - How does a system differ from a process? From a...Ch. 1 - Is a cutting tool the same thing as a machine...Ch. 1 - What are the major classifications of basic...Ch. 1 - Casting is often used to produce a...Ch. 1 - In the lost�wax casting process, what happens to...Ch. 1 - In making a gold medal, what do we mean by a...Ch. 1 - How is a railroad station like a station on an...
Ch. 1 - Because no work is being done on a part when it is...Ch. 1 - What forming processes are used to make a paper...Ch. 1 - What is tooling in a manufacturing system?Ch. 1 - It is acknowledged that chipâ€�type machining is...Ch. 1 - Compare Figures 1.1 and 1.16. What are the...Ch. 1 - In a modern safety razor with three or four blades...Ch. 1 - List three purposes of packaging operations.Ch. 1 - Assembly is defined as the putting together of...Ch. 1 - What are the physical elements in a manufacturing...Ch. 1 - In the production system, who usually figures out...Ch. 1 - In Figure 1.8, what do the lines connecting the...Ch. 1 - Characterize the process of squeezing toothpaste...Ch. 1 - It has been said that low-cost products are more...Ch. 1 - Prob. 24RQCh. 1 - If the rolls for the cold-rolling mill that...Ch. 1 - Make a list of service systems, giving an example...Ch. 1 - What is the fundamental difference between a...Ch. 1 - Prob. 28RQCh. 1 - What kind of process is powder metallurgy: casting...Ch. 1 - In view of Figure 1.2, who really determines the...Ch. 1 - What costs make up manufacturing cost (sometimes...Ch. 1 - What are major phases of a product life cycle?Ch. 1 - How many different manufacturing systems might be...Ch. 1 - In general, as the annual volume for a product...Ch. 1 - The Toyota truck plant in Indiana produces 150,000...Ch. 1 - A company is considering making automobile bumpers...Ch. 1 - Many companies are critically examining the...Ch. 1 - We can analogize your university to a...Ch. 1 - What kind of manufacturing system (design) is your...Ch. 1 - What are the major process steps in the assembly...Ch. 1 - What is the relationship between Figures 1.2Â...
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- 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.arrow_forwardAn 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.arrow_forwardProblem 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_forward
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