Manufacturing Processes for Engineering Materials (6th Edition)
6th Edition
ISBN: 9780134290553
Author: Serope Kalpakjian, Steven Schmid
Publisher: PEARSON
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Chapter 3, Problem 3.47P
To determine
The strip that has the rate of recrystallization effect at lowest temperature.
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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 3 Solutions
Manufacturing Processes for Engineering Materials (6th Edition)
Ch. 3 - Prob. 3.1QCh. 3 - Prob. 3.2QCh. 3 - Prob. 3.3QCh. 3 - Prob. 3.4QCh. 3 - Prob. 3.5QCh. 3 - Prob. 3.6QCh. 3 - Prob. 3.7QCh. 3 - Prob. 3.8QCh. 3 - Prob. 3.9QCh. 3 - Prob. 3.10Q
Ch. 3 - Prob. 3.11QCh. 3 - Prob. 3.12QCh. 3 - Prob. 3.13QCh. 3 - Prob. 3.14QCh. 3 - Prob. 3.15QCh. 3 - Prob. 3.16QCh. 3 - Prob. 3.17QCh. 3 - Prob. 3.18QCh. 3 - Prob. 3.19QCh. 3 - Prob. 3.20QCh. 3 - Prob. 3.21QCh. 3 - Prob. 3.22QCh. 3 - Prob. 3.23QCh. 3 - Prob. 3.24QCh. 3 - Prob. 3.25QCh. 3 - Prob. 3.26QCh. 3 - Prob. 3.27QCh. 3 - Prob. 3.28QCh. 3 - Prob. 3.29QCh. 3 - Prob. 3.30QCh. 3 - Prob. 3.31QCh. 3 - Prob. 3.32QCh. 3 - Prob. 3.33QCh. 3 - Prob. 3.34QCh. 3 - Prob. 3.35QCh. 3 - Prob. 3.36QCh. 3 - Prob. 3.37QCh. 3 - Prob. 3.38QCh. 3 - Prob. 3.39QCh. 3 - Prob. 3.40QCh. 3 - Prob. 3.41QCh. 3 - Prob. 3.42QCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54P
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