EBK AUTOMOTIVE TECHNOLOGY
5th Edition
ISBN: 9780100659841
Author: Halderman
Publisher: YUZU
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Chapter 33, Problem 4RQ
Why are forged pistons recommended for use in high-performance engines?
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Question 1
Consider the bar, shown in Figure 1, that undergoes axial displacement due to both a distributed load
and a point force. The bar is of cross-sectional area A = 1.103 m2, and has a modulus of elasticity
E = 100 GPa.
1(x) = 5 kN/m
10 kN
X
x=0.0
x=2.0
2.0m
Figure 1: Bar domain with varying distributed forces.
a) The general form of the governing equations describing the bar's displacement, u(x), is given by,
d
(AE du(x)) + 1(x) = 0.
dx
dx
What are the accompanying boundary conditions for this bar?
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F3
F4
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Answer B
fem helpUsing the mesh in Figure 2, form the basis functions associated with element 2 and write the FEMapproximation over the element.
Chapter 33 Solutions
EBK AUTOMOTIVE TECHNOLOGY
Ch. 33 - Prob. 1RQCh. 33 - How does piston pin offset control piston slap?Ch. 33 - Why are forged pistons recommended for use in...Ch. 33 - Prob. 6RQCh. 33 - How is the piston pin installed in the piston and...Ch. 33 - A hypereutectic piston __________. a. uses about...Ch. 33 - Many aluminum piston skirts are plated with...Ch. 33 - Prob. 3CQCh. 33 - Prob. 4CQCh. 33 - Prob. 5CQ
Ch. 33 - The space behind the ring is called __________. a....Ch. 33 - A misaligned connecting rod causes what type of...Ch. 33 - Side clearance is a measure taken between the...Ch. 33 - Piston ring gap is measured using a ____________....Ch. 33 - Which type of connecting rod needs to be heated to...
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- answer pleasearrow_forwardFigure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps.arrow_forwardQuestion 2 Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6- 0.4- 0.2- 0.0- -0.2- -0.4- -0.6 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. a) Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first, second and third timestep. b) Consider explicit schemes with central and upwind discretisations. Explain how each of these candidate discretisations could produce the behaviour shown in Figure 3. c) Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a…arrow_forward
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