Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
6th Edition
ISBN: 9781305366749
Author: Jack Erjavec, Rob Thompson
Publisher: Cengage Learning
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Chapter 12, Problem 6RQ
True False? Fiats MultiAir system relies on
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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 12 Solutions
Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
Ch. 12 - Explain staged and continuously variable value...Ch. 12 - Define valve margin.Ch. 12 - What usually causes warpage in an aluminum cylin...Ch. 12 - What are the two ways pushrods can be checked for...Ch. 12 - Which of the following is not true of knurling? It...Ch. 12 - True False? Fiats MultiAir system relies on...Ch. 12 - To allow the engine to run on the Atkinson cycle,...Ch. 12 - Prob. 8RQCh. 12 - To ensure proper seating of the valve, the valve...Ch. 12 - When checking valve fit, contact between the valve...
Ch. 12 - If the valve face and valve seat do not contact...Ch. 12 - Many engines with WT have a phaser mounted to the...Ch. 12 - Multiple valve engines tend to be more efficient...Ch. 12 - Which of the following is not a type of valve...Ch. 12 - Which of the following statements is not true?...Ch. 12 - While discussing the reasons for resurfacing a...Ch. 12 - While inspecting the timing gears of an engine:...Ch. 12 - Technician A says that positive valve stem seals...Ch. 12 - When fitting a freshly ground valve into a freshly...Ch. 12 - Technician A says off-square springs may cause...Ch. 12 - Technician A says it is not necessary to measure...Ch. 12 - Technician A uses a 30-degree stone for topping a...Ch. 12 - While discussing the Valvetronic system:...Ch. 12 - While checking a hydraulic phaser after the...Ch. 12 - While servicing a pair of aluminum cylinder heads:...
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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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