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MindTap Engineering for Haik/Sivaloganathan/Shahin’s Engineering Design Process, 3rd Edition, [Instant Access], 2 terms (12 months)
3rd Edition
ISBN: 9781305387300
Author: Yousef Haik; Sangarappillai Sivaloganathan; Tamer M. Shahin
Publisher: Cengage Learning US
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Chapter 1.11, Problem 3P
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The explanation of analytical model
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An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
A ball with a mass of 5.0 kg is hanging from a string and is initially at rest.
A bullet with a mass of 10.0 g and a velocity of 200.0 m/s is fired at the ball.
The bullet embeds itself inside the ball.
How high (h) do the ball and the bullet rise?
Gravitational acceleration: g=9.81g = 9.81g=9.81 m/s².
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Chapter 1 Solutions
MindTap Engineering for Haik/Sivaloganathan/Shahin’s Engineering Design Process, 3rd Edition, [Instant Access], 2 terms (12 months)
Ch. 1.11 - A design problem in general is the...Ch. 1.11 - A design problem characterizing a societal need...Ch. 1.11 - A solution space is the collection of all possible...Ch. 1.11 - All design problems are well defined.Ch. 1.11 - In general the solution space to a design problem...Ch. 1.11 - Engineering design refers to a product that has...Ch. 1.11 - The design process is the useful procedural way to...Ch. 1.11 - Engineering design consists of the use of...Ch. 1.11 - Prob. 9TFACh. 1.11 - Two major challenges in design are (1) defining a...
Ch. 1.11 - Adaptive design involves making major...Ch. 1.11 - Development design involves conceptual or...Ch. 1.11 - Design using modules that perform distinct...Ch. 1.11 - Prob. 14TFACh. 1.11 - Prob. 15TFACh. 1.11 - Prob. 16TFACh. 1.11 - Prob. 17TFACh. 1.11 - Prob. 18TFACh. 1.11 - Prob. 19TFACh. 1.11 - Prob. 20TFACh. 1.11 - Prob. 21TFACh. 1.11 - Brainstorming is an example of a design model.Ch. 1.11 - Morphological analysis is an example of a design...Ch. 1.11 - Prob. 24TFACh. 1.11 - Prob. 25TFACh. 1.11 - Prob. 26TFACh. 1.11 - Prob. 27TFACh. 1.11 - Prob. 28TFACh. 1.11 - Prob. 29TFACh. 1.11 - Prob. 1TFBCh. 1.11 - The product concept defines the functions of the...Ch. 1.11 - Prob. 3TFBCh. 1.11 - Prob. 4TFBCh. 1.11 - Prob. 5TFBCh. 1.11 - Prob. 6TFBCh. 1.11 - Prob. 7TFBCh. 1.11 - Prob. 8TFBCh. 1.11 - Prob. 9TFBCh. 1.11 - Prob. 10TFBCh. 1.11 - Prob. 11TFBCh. 1.11 - Prob. 12TFBCh. 1.11 - Prob. 13TFBCh. 1.11 - Prob. 14TFBCh. 1.11 - Prob. 15TFBCh. 1.11 - Prob. 16TFBCh. 1.11 - Prob. 17TFBCh. 1.11 - Prob. 1PCh. 1.11 - Give three definitions ofdesign.Ch. 1.11 - Prob. 3PCh. 1.11 - Prob. 4PCh. 1.11 - Prob. 5PCh. 1.11 - Prob. 6PCh. 1.11 - Prob. 7PCh. 1.11 - Prob. 8PCh. 1.11 - Prob. 9PCh. 1.11 - Prob. 10PCh. 1.11 - Prob. 11PCh. 1.11 - What is the difference between customer statement...Ch. 1.11 - What is the difference between the specification...Ch. 1.11 - What is function analysis and how is it different...Ch. 1.11 - List three factors that market analysis achieves.Ch. 1.11 - Why does Function analysis precede the...Ch. 1.11 - Explain the statement A design model accommodates...Ch. 1.11 - Prob. 18PCh. 1.11 - The goal or objective for a coffee maker can be...Ch. 1.11 - Prob. 2GACh. 1.11 - Figure 1.19 shows the percent of cost committed...Ch. 1.11 - Prob. 4GACh. 1.11 - Prob. 5GACh. 1.11 - Prob. 7GACh. 1.11 - Prob. 8GA
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