Automotive Technology: Principles, Diagnosis, and Service Plus MyLab Automotive with Pearson eText -- Access Card Package (5th Edition) (Automotive Comprehensive Books)
5th Edition
ISBN: 9780134009087
Author: James D. Halderman
Publisher: PEARSON
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Chapter 12, Problem 10CQ
To determine
The unit in metric system used for volume measurement.
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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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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 12 Solutions
Automotive Technology: Principles, Diagnosis, and Service Plus MyLab Automotive with Pearson eText -- Access Card Package (5th Edition) (Automotive Comprehensive Books)
Ch. 12 - Explain how a micrometer is read.Ch. 12 - Describe how to check a crankshaft journal for...Ch. 12 - List engine components that can be measured with...Ch. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 1CQCh. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - To directly measure the diameter of a valve guide...
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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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