EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Question
Chapter 35, Problem 47SDP
To determine
Explain how you would measure the dimensions of an extruded hexagonal cross-section, and how you would indicate deviation from the hexagon’s form.
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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 = 1.10-3 m², and has a modulus of elasticity
E = 100 GPa.
1(x) = 5 kN/m
x=0.0
x=2.0
2.0m
10 kN
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.
d.x
dx
What are the accompanying boundary conditions for this bar?
b) Using the mesh in Figure 2, form the basis functions associated with element 2 and write the FEM
approximation over the element.
1
2
3
1
2
1m
1m
Figure 2: Mesh of 2 elements. Elements are numbered with underlines.
c) The general form of the element stiffness matrix system, with nodes indexed by i and j, is,
AE
Uj
N;(x)l(x)dx
– Ng(0)f(0)
¥ [4]}]{{}}={{{}\(\\+} + {N(2)f(2) = N (0)5() },
(1)
0, respectively.
L
=
(2)
where f(2) and f(0) denote the boundary forces at positions x 2 and x
Evaluate…
answer please
amination)
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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F6
F7
F8
80
F3
F4
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Chapter 35 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 35 - What is metrology?Ch. 35 - Explain how a meter is defined and measured.Ch. 35 - Explain what is meant by standards for...Ch. 35 - What is the basic difference between...Ch. 35 - What is meant by comparative length measurement?Ch. 35 - Explain how flatness is measured. What is an...Ch. 35 - Describe the principle of an optical comparator.Ch. 35 - Why have coordinate measuring machines...Ch. 35 - What is the difference between a plug gage and...Ch. 35 - What are dimensional tolerances? Why is their...
Ch. 35 - Prob. 11RQCh. 35 - Explain the difference between tolerance and...Ch. 35 - What is the difference between bilateral and...Ch. 35 - How is straightness measured?Ch. 35 - When is a clearance fit desirable? An interference...Ch. 35 - What factors contribute to deviations in the...Ch. 35 - Why are the words accuracy and precision...Ch. 35 - Prob. 18QLPCh. 35 - Prob. 19QLPCh. 35 - Prob. 20QLPCh. 35 - Dimensional tolerances for nonmetallic parts...Ch. 35 - Prob. 22QLPCh. 35 - Review Fig. 35.20, and comment on the range...Ch. 35 - In the game of darts, is it better to be accurate...Ch. 35 - What are the advantages and limitations of GO...Ch. 35 - Comment on your observations regarding Fig. 35.19.Ch. 35 - What are gage blocks? Explain three methods...Ch. 35 - Why is it important to control temperature during...Ch. 35 - Describe the characteristics of electronic gages.Ch. 35 - What method would you use to measure the...Ch. 35 - Prob. 31QLPCh. 35 - Review Fig. 35.21 and give reasons that there is a...Ch. 35 - Assume that a steel rule expands by 0.07% due to...Ch. 35 - If the same steel rule as in Problem 35.33 is used...Ch. 35 - A shaft must meet a design requirement of being at...Ch. 35 - Describe your thoughts on the merits and...Ch. 35 - Take an ordinary vernier micrometer (see Fig....Ch. 35 - Obtain a digital micrometer and a steel ball of,...Ch. 35 - Prob. 41SDPCh. 35 - Prob. 42SDPCh. 35 - Inspect various parts and components in...Ch. 35 - Prob. 45SDPCh. 35 - Prob. 46SDPCh. 35 - Prob. 47SDPCh. 35 - Conduct an Internet search, and make a list of...Ch. 35 - Prob. 49SDP
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- show workingarrow_forwardCFD help Figure 3: Advection equation, solution for three different timesteps. Q1) 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.arrow_forwardanswer pleasearrow_forward
- 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 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_forwardanswer pleasearrow_forward
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