EM 621 THEORY OF ELASTICITY

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AE 310 AEROSPACE STRUCTURAL ANALYSIS
SPRING 2014
Tuesday and Thursday, 12:30 pm to 1:45 pm
Engineering Building, Room E 328
SYLLABUS & CLASS POLICY
Catalog description: Methods of static structural analysis of problems encountered in the flight of
aerospace vehicles.
Prerequisites:
Required: Civ E 301 or ME 304 (or equivalent mechanics of materials course).
Recommended: Completion or concurrent registration in ME 240 (Intro to
Materials Science) & Civ E 302 (Mechanics of Materials Lab).
Instructor:
Dr. Satchi Venkataraman, Associate Professor of Aerospace Engineering, Room
309 Engineering Building, (619) 594 6660, satchi@mail.sdsu.edu
Office hours:
Wednesday 4:00 – 5:30 p.m. & Thursday 9:30 -10:30 am.
Website:
http://blackboard.sdsu.edu.
Objectives
Teach fundamentals of structural analysis and design with emphasis on
aerospace applications.
Textbook:
Required: Structural Analysis: With Application to Aerospace Structures, O.A.
Bauchau and J.I Craig, Springer, 2009. ISBN: 9789048125159.
Having access to Statics and Mechanics of Materials textbooks is highly
recommended.
References:
1. Aircraft Structures, D. J. Peery, Dover Publications, 2011.
2. Theory and Analysis of Flight Structures, R. W. Rivello, McGraw Hill, 1969.
3. Mechanics of Aircraft Structures, C. T. Sun, 2nd edition, John Wiley, 2006
4. Analysis and design of flight vehicle structures, E. F. Bruhn, Tri-State Offset
Co., 1965.
5. Aircraft Structures for Engineering Students, T. H. G. Megson, Third Edition,
Elsevier, 1999.
6. Advanced Mechanics of Materials, Arthur P. Boresi and Richard J. Schmidt,
Sixth edition, John Wiley and Sons, Inc., 2003.
Course Topics:
(lecture period is 75 mins)
1. Introduction to aircraft structures and structural analysis (2 lec)
2. Equations of elasticity (5 lec)
3. Energy methods & Analysis of hyper static structures(4 lec)
4. Analysis of thin-walled pressure vessels (1 hour)
5. Yield criteria, fatigue and fracture failure (2 lec)
6. Euler Bernoulli Beam Theory & Applications (3 lec)
7. Bending of 3D beams with asymmetric cross-sections (3 lec)
8. Torsion of beams with solid and thin wall sections (3 lec)
9. Bending and Torsion of thin wall beams (5 lec)
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Grading:
Grades will be determined using these weights: Homework Assignments,
Projects & In class Quizzes 30%; Mid-term exam 30%; Final Exam 40%.
Lecture sessions
There will be two seventy five minutes lectures every week.
Attendance is mandatory. More than three unexcused absences can lead to
grade penalty.
Students are expected to come to class on time, turn off their cell phones,
pagers, etc. before the start of class. Use of, portable computers, laptops, tablets
are allowed only for note taking purposes.
Please do not bring or consume food during lectures.
Student participation in class is encouraged to maximize the learning
opportunity. Active participation in class lectures and coming prepared to
lectures will maximize your learning in the class room and minimize the time
you will have to invest outside the class room in studying for this course. Class
participation will be used in deciding borderline grades. Be courteous to the
fellow students and the instructor during classroom discussions.
The use of laptop is not allowed in the classrooms without the permission of
the instructor. Disregard for these rules or other disruptive behavior can lead to
the following sanctions: expulsion, disciplinary sanctions, grade penalty.
Recording lectures (audio and/or video) electronically is not permitted.
Rules for Homework Assignments
Homework assignments are an essential component for learning in this course.
Assignments are chosen to help you review the concepts learned in class and
become familiar with applying it to solving structural analysis problems.
Homework assignments are intended to develop written technical
communication skills.
Present your solution and progression of the ideas in solution process using
appropriate level of explanations.
Each problem in the assignment must start on a new page. Write only on one
side of the paper.
Reproduce the problem statement and any figure accompanying the problem
statement.
Draw neatly all necessary figures and free body diagrams needed for your
computations.
Homework assignments can be handwritten or typed.
Handwritten assignments must be completed on engineering computation
paper and must be neat and legible.
Assignment submitted will not be graded if they are not neat, legible and easy
to follow.
In-Term Exams:
In-class exams will be closed book and closed notes.
Final Exam:
The final exam will be comprehensive and will be closed book and closed notes.
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Course Outcomes:
On completing this course students must be able to:
1. Demonstrate knowledge of the fundamental equations of linear elasticity.
2. Understand derivations of analytical models for elastic response of simple
structures obtained using strength of materials and theory of elasticity
approaches.
3. Distinguish between strength of materials and elasticity approaches to
structural analysis, and deduce limitations of analysis models based on
assumption made in their derivations.
4. Apply energy methods to compute deformation of statically determinate
and indeterminate trusses and beams.
5. Compute bending stresses and deflections of beams with symmetrical and
non-symmetrical cross-sections.
6. Compute shear stresses and twist angles in torsion for circular and noncircular beams with solid sections, closed thin-walled sections, and open
thin-walled sections.
7. Understand concept of shear flow and shear center in thin walled beam
structures under torsion and bending loads.
8. Apply different failure criterion to predict failure given the stress state of a
body.
9. Predict critical loads for buckling of beam columns and plate structures.
10. Document structural analyses and design solutions for technical reports.
Students with Disabilities
Students with disabilities are encouraged to contact the Office of Student
Disability Services to make suitable accommodations.
Academic honesty:
SDSU Student conduct code (http://csrr.sdsu.edu/conduct1.html) expects all
students to be honest in all academic work. Academic honesty requires that you
acknowledge any source of information that you have used for materials
submitted for credit. Failure to comply with this commitment will result in
disciplinary action. You will be guilty of plagiarism if you present someone
else’s work as your own, even with the other person’s consent; using sources
not approved by the instructor in completing course assignments, not citing
sources from which you took information to complete your assignments, and
reports. Any plagiarism will be immediately reported to the SDSU Judicial
Procedures Office and result in expulsion from the course.
Miscellaneous
Only University approved excuses for absences will be accepted. Each student
will be responsible for knowledge of all scheduling and announcements made
in class.
.
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AE 310 Aerospace Structural Analysis
Spring 2014 – Tentative Schedule
1
Date
1/23
Topics
Introduction – Aircraft structures
Reading Assignments
Handout
2
1/28
Introduction – Structural Analysis
Handout
3
1/30
Concept of Stress, Coordinate transformations for stress
1.1 – 1.2
4
2/4
State of Plane Stress, Principal stresses
1.3
5
2/6
Concept of Strain, Coordinate Transformation for strains
1.4-1.6
6
2/11
Plane Strain, Strain Measurement& Compatibility Eqns.
1.7-1.8
7
2/13
Constitutive behavior of isotropic materials
2.1
8
2/18
Allowable Stress, Criteria for yielding, Fatigue
2.2-2.3, Handout
9
2/20
Material Selection for structural design
2.4
10
2/25
Structural Analysis: Pressure Vessels
4.4
11
2/27
Structural Analysis: Hyper static systems
4.1-4.3
12
3/4
Energy Methods – strain energy in bars, beams and solids
Handouts (Ch 9, 10)
13
3/6
Principle of minimum total potential energy
Handouts (Ch 9, 10)
14
3/11
Energy Methods: Applied to truss and beam problems
Handouts (Ch 9, 10)
15
3/13
Euler Bernoulli Beam theory: assumptions and formulation
5.1-5.3
13
3/18
Euler Bernoulli Beam theory: axial loads &bending loads
5.4-5.5
16
3/20
Euler Bernoulli Beam theory: combined loads
5.6
17
3/25
Three Dimensional Beam Theory - Formulation
6.1-6.4
18
3/27
Mid Term Exam covers lecture period 1/23 – 3/11).
Spring Break (4/1 & 4/3)
19
4/8
Three Dimensional Beam Theory – non-symmetric beams
6.4-6.5
20
4/10
Three Dimensional Beam Theory – Sectional stiffness
6.6-6.8
21
4/15
Torsion - cylinders
7.1 – 7.2
23
4/17
Torsion – non-circular cross-sections
7.3 7.4
24
4/22
Torsion – thin walled cross-sections
7.5
25
4/24
Thin walled beams - bending
8.1-8.2
26
4/29
Thin walled beams – transverse shear
8.3
26
5/1
Thin walled beams – shear center
8.4
26
5/6
Thin walled beams – torsion
8.5
27
5/8
Thin walled beams – combined loads & idealization
8.6, 8.10
5/15
Final Exam (Thursday May 15, 2014. 10:30-12:30 am)
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