EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 9RQ
What is corrosion? How can it be prevented or accelerated?
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Mechanical engineering
Mechanical engineering question.
A shaft is loaded in bending and torsion such that Ma = 70 N·m, T₁ = 45 N · m, M =
55 N. m, and T = 35 N m. For the shaft, S₁ = 700 MPa and S = 560 MPa, and a fully
corrected endurance limit of S₂ = 210 MPa is assumed. Let K = 2.2 and K = 1.8. With a
Se
design factor of 2.0 determine the minimum acceptable diameter of the shaft using the
a) DE- Goodman
b) DE-Morrow
c) DE-Gerber
d) DE-SWT
Chapter 3 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 3 - List several reasons that density is an important...Ch. 3 - Explain why the melting point of a material can be...Ch. 3 - What adverse effects can be caused by thermal...Ch. 3 - Prob. 4RQCh. 3 - What is the piezoelectric effect?Ch. 3 - Prob. 6RQCh. 3 - Prob. 7RQCh. 3 - What is the difference between thermal...Ch. 3 - What is corrosion? How can it be prevented or...Ch. 3 - Explain stress-corrosion cracking. Why is it also...
Ch. 3 - Prob. 11RQCh. 3 - Prob. 12RQCh. 3 - What is the fundamental difference between...Ch. 3 - Describe the significance of structures and...Ch. 3 - Prob. 15QLPCh. 3 - Note in Table 3.1 that the properties of the...Ch. 3 - Rank the following in order of increasing thermal...Ch. 3 - Prob. 18QLPCh. 3 - Explain how thermal conductivity can play a role...Ch. 3 - What material properties are desirable for heat...Ch. 3 - Prob. 21QLPCh. 3 - Prob. 22QLPCh. 3 - Two physical properties that have a major...Ch. 3 - Which of the materials described in this chapter...Ch. 3 - Which properties described in this chapter can be...Ch. 3 - If we assume that all the work done in plastic...Ch. 3 - The natural frequency, f, of a cantilever beam is...Ch. 3 - Plot the following for the materials described in...Ch. 3 - It can be shown that thermal distortion in...Ch. 3 - Add a column to Table 3.1 that lists the...Ch. 3 - Prob. 31SDPCh. 3 - Prob. 32SDPCh. 3 - Prob. 33SDPCh. 3 - Prob. 34SDPCh. 3 - Prob. 36SDPCh. 3 - Prob. 38SDPCh. 3 - Prob. 40SDPCh. 3 - Prob. 41SDPCh. 3 - Prob. 42SDPCh. 3 - Prob. 43SDP
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- 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.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_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_forward
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