Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 22, Problem 5RQ
Explain the applications and limitations of ceramic tools.
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Chapter 22 Solutions
Manufacturing Engineering & Technology
Ch. 22 - What are the major properties required of...Ch. 22 - What is the composition of a typical carbide tool?Ch. 22 - Why were cutting-tool inserts developed?Ch. 22 - Why are some tools coated? What are the common...Ch. 22 - Explain the applications and limitations of...Ch. 22 - List the major functions of cutting fluids.Ch. 22 - Why is toughness important for cutting-tool...Ch. 22 - Is the elastic modulus important for cutting-tool...Ch. 22 - Explain how cutting fluids penetrate the toolchip...Ch. 22 - List the methods by which cutting fluids are...
Ch. 22 - Describe the advantages and limitations of (a)...Ch. 22 - What is a cermet? What are its advantages?Ch. 22 - Explain the difference between M-series and...Ch. 22 - Why is cBN generally preferred over diamond for...Ch. 22 - What are the advantages to dry machining?Ch. 22 - Explain why so many different types of...Ch. 22 - Which tool-material properties are suitable for...Ch. 22 - Describe the reasons for and advantages of coating...Ch. 22 - Make a list of the alloying elements used in...Ch. 22 - As stated in Section 22.1, tool materials can have...Ch. 22 - Explain the economic impact of the trend shown in...Ch. 22 - Why does temperature have such an important effect...Ch. 22 - Ceramic and cermet cutting tools have certain...Ch. 22 - What precautions would you take in machining with...Ch. 22 - Can cutting fluids have any adverse effects in...Ch. 22 - Describe the trends you observe in Table 22.2.Ch. 22 - Why are chemical stability and inertness important...Ch. 22 - Titanium-nitride coatings on tools reduce the...Ch. 22 - Describe the necessary conditions for optimal...Ch. 22 - Negative rake angles generally are preferred for...Ch. 22 - Do you think that there is a relationship between...Ch. 22 - Make a survey of the technical literature, and...Ch. 22 - In Table 22.1, the last two properties listed...Ch. 22 - It has been stated that titanium-nitride coatings...Ch. 22 - Note in Fig. 22.1 that all tool materials,...Ch. 22 - Referring to Table 22.1, state which tool...Ch. 22 - Which of the properties listed in Table 22.1 is,...Ch. 22 - If a drill bit is intended only for woodworking...Ch. 22 - What are the consequences of a coating on a tool...Ch. 22 - Discuss the relative advantages and limitations of...Ch. 22 - Emulsion cutting fluids typically consist of 95%...Ch. 22 - List and explain the considerations involved in...Ch. 22 - Review the contents of Table 22.1. Plot several...Ch. 22 - Obtain data on the thermal properties of various...Ch. 22 - The first column in Table 22.2 shows 10 properties...Ch. 22 - Describe in detail your thoughts regarding the...Ch. 22 - One of the principal concerns with coolants is...Ch. 22 - How would you go about measuring the effectiveness...Ch. 22 - There are several types of cutting-tool materials...Ch. 22 - Assume that you are in charge of a laboratory for...Ch. 22 - Tool life could be greatly increased if an...Ch. 22 - List the concerns you would have if you needed to...
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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
- Problem 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_forwardI need part all parts please in detail (including f)arrow_forward
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