1.053J/2.003J Dynamics and Control I
Fall 2007
Final Exam
th
18 December, 2007
Important Notes:
1. You are allowed to use three letter-size sheets (two-sides each) of notes.
2. There are five (5) problems on the exam, and seven pages in total (including
1.051 Structural Engineering Design
Prof. Oral Buyukozturk
Fall 2003
1.051 Structural Engineering Design
QUIZ 1 REVIEW
Example 1 (Flexural Strength of a Given Member)
b = 12
d = 17.5
As = 4.00 in2
fy = 60,000 psi
fc = 4000 psi
d
As
b
Find Mn, Mu
Mu Mn;
=
1.00 Lecture 37
Java and the Web
Internet and TCP/IP
Internet is just a set of loosely interconnected networks
A set of local area networks connected via wide area networks
Network segments interconnect via routers:
Dedicated computers that manage pac
1.00 Lecture 22
Matrices
Reading for next time: Numerical Recipes, pp. 37-42
Matrices
Matrix is 2-D array of m rows by n columns
a00
a01
a02
a03
a0n-1
a10
a11
a12
a13
a1n-1
a20
a21
a22
a23
a2n-1
am-1,0
am-1,1
am-1,2
am-1,3
am-1,n-1
In math notation,
44 FEEDBACK ON A HIGHLY MANEUVERABLE VESSEL
185
44 Feedback on a Highly Maneuverable Vessel
The directional behavior of a highly maneuverable vessel is mo deled by
0.1s + 1
=2
s + 0.6s 0.05
where the rudder deection is and the heading is . You note that
1.017/1.010 Examples of Combinatorial Probability
Derivations
Example 1
Suppose we toss a die twice. Then the number of possible outcomes is the product of n1
= 6 outcomes on the first toss and n1 = 6 outcomes on the second toss, or n1n2 = 36. Now
define
Executive Summary
The Wheeling Bridge was constructed in Wheeling, WV in 1849. The bridge
connected the gap over the Ohio River between West Virginia and Ohio. It also
connected the eastern and western sections of the national road. The bridge was designe
SYSTEM DESIGN FOR UNCERTAINTY:
Worked Examples
Franz S. Hover
Center for Ocean Engineering
Department of Mechanical Engineering
Massachusetts Institute of Technology
Cambridge, Massachusetts USA
Latest Revision: April 9, 2010
c Franz S. Hover
i
Contents
1
The Eurostar and The Channel Tunnel
By Patrick Hereford
Day 36
1.0 Background
Britain and France have been in need of an affordable means of transportation since the 1700s.
Airlines, ferries, and automobiles dominated the market before 1994. Airlines ar
The Disasters and Politics of
The the Wheeling Bridge
the
Abraham Reyes
1.011
Day 38
Background
Background
Constructed in 1849
It was the longest suspension bridge in the world at the time of construction the Caused a legal battle betw
1.00 Lecture 24
Integration
Reading for next time: Numerical Recipes, pp. 347-368
(Get as far as youre comfortable)
Numerical Integration
Classical methods are of historic interest only
Rectangular, trapezoid, Simpsons
Work well for integrals that are
1.00/1.001
Introduction to Computers and Engineering Problem Solving
Quiz 2 / November 10, 2005
Name:
Email Address:
TA:
Section:
You have 90 minutes to complete this exam. For coding questions, you do not
need to include comments, and you should assum
1.00 Lecture 21
2D API
2D Transformations
Reading for next time: Numerical Recipes p. 32-36
Just read the text; dont worry about reading the C code
Clock, revisited
Well use the model-view-controller version of the clock and draw
with the 2D API (applicat
43 SPECTRAL ANALYSIS TO FIND A HIDDEN MESSAGE
43
180
Spectral Analysis to Find a Hidden Message
As you know, the fast Fourier transform (fft() in MATLAB), turns time-domain signals x
into frequency-domain equivalents X . Here you will analyze a given sign
1.017/1.010 Class 19
Analysis of Variance
Concepts and Definitions
Objective: Identify factors responsible for variability in observed data
Specify one or more factors that could account for variability (e.g.
location, time, etc.). Each factor is associat
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Civil and Environmental Engineering
1.017/1.010 Computing and Data Analysis for Environmental Applications/
Uncertainty in Engineering
Quiz 2 (Solutions provided at the end of each problem)
Tuesday, Nove
1.017/1.010 Class 21
Multifactor Analysis of Variance
Multifactor Models
We often wish to consider several factors contributing to variability ratherr
than just one. Extend concepts of single factor ANOVA to multiple
factors. Focus on the two-factor case.
41 FLOATING STRUCTURE HEAVE AND ROLL
41
165
Floating Structure Heave and Roll
Consider the heave and roll response of a two-hull structure with the parameters below:
mass (metric tons)
body rotary inertia (kg-m2 )
beam of each hull b (m)
open space betwe
1.00 Lecture 2
Interactive Development
Environment: Eclipse
Reading for next time: Big Java: sections 3.1-3.9
(Pretend the method is main() in each example)
Whats an IDE?
An integrated development environment
(IDE) is an environment in which the user
per
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Civil and Environmental Engineering
1.017 Computing and Data Analysis for Environmental Applications
Quiz 3
Thursday, December 4, 2003
Please answer all questions on a separate piece(s) of paper with you
1.017/1.010 Class 22
Linear Regression
Regression Models
Fluctuations in measured (dependent) variables can often be attributed
(in part) to other (independent) variables. ANOVA identifies likely
independent variables. Regression methods quantify relation
42 SUBMERGED BODY IN WAVES
42
174
Submerged Body in Waves
A xed, submerged bo dy has a circular cross-section of constant diameter one meter, with
length twenty meters. For the calculations below, use the Morison formulation for waveinduced force, with C
1.00 Lecture 20
Anonymous Inner Classes
Model-View-Controller
Reading for next time: Big Java: review sections 4.3-4.10
Anonymous Inner Classes
Java offers a shortcut for creating new
classes
Used when writing small, simple classes.
Helpful for writ
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Civil and Environmental Engineering
1.017 Computing and Data Analysis for Environmental Applications
Practice Quiz 1, 2003
Problem 1 (Descriptive Statistics)
During the manufacture of links in a chain, t
1.017/1.010 Class 23
Analyzing Regression Results
Analyzing and Interpreting Regression Results
Least-squares estimation methods provide a way to fit linear regression
models (e.g. polynomial curves) to data. Once a model is obtained it is
useful to be ab
Department of Mechanical Engineering
2.017 Design of Electromechanical Robotic Systems, Fall 2009
Project Proposal Guidelines
Proposal due date: 9/28/09
x We expect a 2 5 page project proposal from each team, including figures,
sketches, and hand-written
MIT Civil Engineering 1.011 Project Evaluation
Eurostar vs. Shinkansen
Spring Term 2003
Brief Overview
Shinkansen
Shinkansen
Background
Time Line
Statistics
Costs and Benefits
Risks and Uncertainties
Background
Time Line
Statistics
Costs and Benefits
Risk
1.00 Lecture 28
Trees
Reading for next time: None.
Please look over the lecture notes before class.
Tree definitions
Level
(distance from root)
0
a
b
e
f
d
c
g
h
1
i
2
.
Root: a
Degree (of node): number of subtrees
b:3, c:0, d:2
Leaf: node of degree 0: e,
MIT OpenCourseWare
http:/ocw.mit.edu
1.010 Uncertainty in Engineering
Fall 2008
For information about citing these materials or our Terms of Use, visit: http:/ocw.mit.edu/terms.
Brief Notes #1
Events and Their Probability
Definitions
Experiment: a set of