EG202 Mechanics of Materials I

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School of Engineering and Computer Science
EG202: Mechanics of Materials I
Course Syllabus
Semester:
Class Meeting Time:
Class Location:
Prerequisites:
Co-requisites:
Spring 2012
Monday, Wednesday, Friday, 12:40 – 1:50 pm
DWH 114
EG200 Statics (EG208 Materials Science and EG207 Instrumentation and
Measurements strongly suggested)
None
Instructor Contact Information
Instructor:
Office Location:
Office Hours:
Email:
Phone:
Timothy D. Kostar
DWH 109 G
Monday, Wednesday, Friday, 10:00 – 12:00 noon
kostar_timothy@dwc.edu
603-577-6064
Course Description (3.5 Credits)
This course enhances the students understanding of stress and strain, and their linear-elastic relationship
through Hooke’s Law. The stress induced in simple beams and columns, as subjected to axial, torsional,
bending, and shear loading, is extensively covered. The concept of state of plane-stress, as a result of
combined loadings (superposition), and transformation to principal components, is covered. Based on
allowable stress, basic beam design is introduced. Methods to determine the deformation of beams and
shafts are covered. The concepts are supported by software-based stress analysis and the application of
computational software in structural design.
Course Textbook Information
Mechanics of Materials, 8th Edition, R.C. Hibbeler, ISBN-13: 978-0-13-602230-5, Prentice-Hall, 2011.
Course Objective
This course is intended to extend the student’s study of engineering mechanics beyond statics to the
concepts of stress, strain, and deformation, and to develop problem-solving skills and techniques involved
with structural design and analysis of simple beams and columns.
Course Outcomes (measurements in parentheses)
The student will be able to:
1) draw free body diagrams of both complete and sectioned bodies (Homework, exams, final exam);
2) demonstrate an understanding of the fundamental concepts of stress and strain, and their linear-elastic
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relationship through Hooke’s Law (Homework, exams, final exam);
3) compute the stress state at a point resulting from a combination of axial, torsional, shear, and bending
loads on a beam (Homework, project #1, exams, final exam);
4) transform (2D) states of stress into principal components (Homework, project #1, exams, final exam);
5) design a simple beam or shaft structure based on allowable stress (Homework, project #2, exams, final
exam);
6) determine the deformed state of a beam resulting from a combination of axial, torsional, and bending
loads (Homework, final exam);
7) utilize commercial computational software in simple structural design and analysis (project #2).
General Education Competencies
The General Education program centers on critical thinking, communication, and global citizenship. The
primary General Education competencies that this course supports include:
-
Communicate clearly and effectively in written, oral, and electronic forms
Apply quantitative reasoning skills to solve problems
Disabled Applicants and Students
Daniel Webster College is committed to compliance with Section 504 of the Rehabilitation Act of 1973 and
its regulations. The school does not discriminate on the basis of disability in admission or access to, or
treatment or employment in, its programs and activities. The school's student disability coordinator
coordinates Section 504 compliance. Applicants or students with a disability may request an
accommodation by contacting Kathy Hipp, Associate Dean of Arts and Sciences, at 603-577-6659 or
hipp@dwc.edu.
Academic Honesty
Intellectual curiosity is at the heart of the academic enterprise. Students, faculty and administration at
Daniel Webster College consider such violations as cheating and plagiarism to be so unethical as to call
into question whether the violator should continue as a member of the College community.
Transcripts that misrepresent academic performance not only endanger students’ chances for success in
their careers but also damage the integrity and reputation of the institution.
Student Honor Pledge
Daniel Webster College believes that all students have the right to learn in an academic community that
insures fair competition, and respects truth and honesty. Academic dishonesty is not tolerated at Daniel
Webster College. The Student Honor Pledge is intended to create a community of fairness, respect, and
responsibility in the pursuit of academic enterprise. All students are expected to abide by the Student
Honor Pledge.
I pledge on my honor, as a student at Daniel Webster College, that I have neither given nor
received any unauthorized aid on this assignment/examination.
For more information regarding Daniel Webster College’s ethical standards, please refer to the current
college catalog.
Grading Scale
The following scale is based on the grading structure outlined in the Daniel Webster College catalog and
is used to assign letter grades:
A = 93+
C+= 76-79
A- = 90-92
C = 70-75
B+= 87-89
D = 65-69
B = 83-86
F = Below 65
B- = 80-82
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Expectations
Homework problems from the text will be assigned on a regular basis and are subject to change. A
limited number of other assignments not in the text might be given as supplemental exercises. It is
expected that the interested student will endeavor to solve these problems. Remember that you
cannot adequately learn this material without practicing the methods. Talk to me in advance if
you have reasonable reason(s) for not being able to turn in your homework or any assignment on time.
To be fair to all students, late homework or other assignments are given a 33% reduction in points per
day that the homework / assignment is late. A “day” is defined as 24 hours, beginning at the start of
class time.
In addition, there will be an analysis project assigned which will utilize commercial software. Also, a
design and analysis project will be assigned which will utilize commercial computational software
(FEM). In preparation for this project, some class time will be devoted to utilization of the software.
Finally, in support of the student evaluation process, there will be two (2) exams, and one (1)
comprehensive final exam. No make-ups for exams will be given unless satisfactory advanced
notice and reason is supplied to the instructor. The grades will not be curved. The grades will be
assigned based on the absolute grade scale shown above.
Active class participation is expected. In this course you will be expected to act in a professional
manner. Among other things, this includes showing up on time prepared for the task at hand. This shall
include not just being on time for class, but also for any and all additional outside meetings you will have
with group work. You will be expected to read assigned chapters/tutorials before coming to class and be
ready to actively participate. Classroom activities such as chatting, use of computer, ipod, cell phone and
other electronics are not allowed. In addition, eating in class is not allowed.
Students may ask questions of one another when working on out-of-class assignments. However, each
student/team must do their own work. A first occurrence of academic dishonesty will result in a
zero for that assignment for all who are involved. A second occurrence will result in an F for the course.
Note that all such occurrences must be reported in writing to the Chief Academic Officer who may
prescribe additional penalties.
Course Evaluation
Homework
25%
Project #1
5%
Project #2
10%
Exam #1
15%
Exam #2
15%
Final Exam
30%
________________________________________
Total
100%
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Planned Schedule of Activities
Schedule may be modified, with announcements posted on-line.
Week
1
Reading
01/16 - 01/20
01/23 – 01/27
3
01/30 – 02/03
4
02/06 – 02/10
5
02/13 – 02/17
6
02/20 – 02/24
Assignments
Course Overview: Syllabus walk-thru, administrative policies, course
expectations.
Statics Review: FBD’s. Equilibrium of a rigid body. Internal forces.
Shear and Moment diagrams. CG and Centroid. Moment of Inertia.
Classes begin
Wednesday,
01/18
2
Topics
Chap. 1
Chap. 2
Chap. 3
Chap. 4
Chap. 5
HW #1
Stress: Concept of stress. Stress distribution. Average stress.
Allowable stress, safety factor, and simple design.
HW #2
Strain: Deformation of non-rigid bodies. Concept of strain (normal and
shear).
HW #3
Mechanical Properties of Materials: Normal Stress-Strain behavior.
Ductile and Brittle materials. Shear Stress-Strain behavior. Hooke’s Law
for 1D. Strain energy. Poisson’s ratio.
Axial Loading: (time out) Saint-Venant’s Principle (time in). Elastic
deformation. Static indeterminacy and compatibility. Superposition.
Force method (applied superposition). Thermal stress due to constrained
displacement. Stress concentration.
HW #4
HW #5
Torsion: Torsional deformation. The Torsion Formula. Angle of twist.
HW #6
Exam #1 (Friday): Covers Chapters 1 – 4.
7
02/27 – 03/02
Chap. 5
Chap. 6
8
03/05 – 03/09
9
03/12 – 03/16
10
11
12
13
14
15
03/19 – 03/23
03/26 – 03/30
04/02 – 04/06
Chap. 6
04/23 – 04/27
HW #7
Bending: Bending deformation. The Flexure Formula. Examples.
Bending: Un-symmetric bending. Stress concentration.
HW #8
Spring Break
Chap. 7
Chap. 8
Chap. 9
04/09 – 04/13
04/16 – 04/20
Torsion: Static indeterminacy and compatibility. Stress concentration.
Transverse Shear: Shear deformation. The Shear Formula. Shear flow.
HW #9
Combined Loadings: Thin walled pressure vessels. Combined loadings
and state of stress at a point.
HW #10
Stress Transformation: Plane-stress transformation. Principal stresses
and maximum in-plane shear stresses. Mohr’s circle. Absolute maximum
shear stress.
HW #11
Project #1
Exam #2 (Monday): Covers Chapters 5 – 8.
Chap. 11
Chap. 12
Intro to the FEM and basic beam design:
(*) Wed. and Friday classes held in DWH 104
Design of Beams and Shafts: Stress-based design.
Deflection of Beams and Shafts: The Elastic Curve. Slope and
displacement by integration (Euler). Superposition. Static indeterminacy
by integration and superposition.
Project #2
HW #12
HW #13
Review
16
04/30 – 05/04
Final
Exams
Week
05/07 – 05/11
Comprehensive
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Relationship of Course to Program Outcomes
Mechanical Engineering
(slight, moderate, substantial)
Outcome
Level of
contribution
Outcome
Level of
contribution
Outcome
a
b
c
d
e
f
g
h
i
j
k
l
m
a
b
substantial
moderate
h
i
slight
c
d
e
f
moderate
j
g
moderate
k
l
m
moderate
moderate
slight
Description of Outcome
an ability to apply knowledge of mathematics, science, and engineering
an ability to design and conduct experiments, as well as to analyze and interpret data
an ability to design a system, component, or process to meet desired needs within realistic
constraints …
an ability to function on multi-disciplinary teams
an ability to identify, formulate, and solve engineering problems
an understanding of professional and ethical responsibility
an ability to communicate effectively
the broad education necessary to understand the impact of engineering solutions in a
global, etc., societal context
a recognition of the need for, and the ability to engage in life-long learning
a knowledge of contemporary issues
an ability to use the techniques, skills, and modern engineering tools needed for
engineering practice
an ability to apply principles of engineering, basic science, and mathematics (including
multivariate calculus and differential equations) to model, analyze, design, and realize
physical systems, components or processes.
an ability to work professionally in both thermal and mechanical systems areas.
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Relationship of Course to Program Outcomes
Aeronautical Engineering
(slight, moderate, substantial)
Outcome
Level of
contribution
Outcome
Level of
contribution
Outcome
a
b
c
d
e
f
g
h
i
j
k
l
m
n
a
b
substantial
moderate
h
i
slight
c
d
e
f
moderate
j
k
l
g
moderate
m
n
moderate
Description of Outcome
an ability to apply knowledge of mathematics, science, and engineering
an ability to design and conduct experiments, as well as to analyze and interpret data
an ability to design a system, component, or process to meet desired needs within realistic
constraints …
an ability to function on multi-disciplinary teams
an ability to identify, formulate, and solve engineering problems
an understanding of professional and ethical responsibility
an ability to communicate effectively
the broad education necessary to understand the impact of engineering solutions in a
global, etc., societal context
a recognition of the need for, and the ability to engage in life-long learning
a knowledge of contemporary issues
an ability to use the techniques, skills, and modern engineering tools needed for
engineering practice
a knowledge of aerodynamics, aerospace materials, structures, propulsion, flight
mechanics, and stability and control
design competence that includes integration of aeronautical topics
an ability to develop flight test plans and conduct in-flight experiments, as well as to
analyze, etc., the resulting data
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Beam Design and Analysis Project Assessment Rubric
The primary learning outcomes of this design/analysis project include:
-
-
Demonstrate a general understanding of the topic including background, motivation for doing the
work, the relevance of the work, and specific objectives.
Gain knowledge of, and demonstrate the ability to utilize and efficiently apply, commercial
computational software in a basic structural design and analysis setting.
Develop and demonstrate the ability to conduct design iterations with associated analysis, gather
and reduce data, create appropriate tables and graphs, draw conclusions from results,
identify/justify an acceptable design.
Demonstrate advanced technical writing skills including completeness and clarity of presentation,
grammar.
Reference:
Prior to this assignment, the students experience approximately three (3) hours of introduction and
examples using the computational software in related stress analysis problems. This project, and the
associated report, is completed by individual students.
Assessment:
Performance
Indicator
Criteria
Value
Beginning (1)
Developing (2)
Accomplished (3)
Exemplary (4)
Topic
Knowledge
Little to no
understanding of
topic details.
Showed some
understanding of
topic details.
Demonstrated an
understanding of the
topic details.
Demonstrated
understanding of topic
and related topic details.
Software
Utilization
Did not
demonstrate
ability to utilize
software
Demonstrated
some ability to
utilize software
Demonstrated ability to
utilize software
Demonstrated ability to
utilize and efficiently
apply software
Design and
Analysis
Did not show
ability to perform
design and
analysis iterations
Showed some
ability to perform
design and analysis
iterations
Demonstrated ability to
perform design and
analysis iterations, and
identify an acceptable
design
Demonstrated ability to
perform design and
analysis iterations,
create appropriate
tables and graphs, and
identify/justify an
acceptable design
Technical
Writing
Did not
demonstrate
advanced
technical writing
skills.
Demonstrated
some technical
writing skills.
Demonstrated ability to
write a clear and
comprehensive
technical report.
Demonstrated ability to
write a clear and
comprehensive technical
report, including
grammatical details.
Total
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