**ENGINEERING 5312: Mechanics of
Solids II**

** **

**Instructor Dr.
Seshu Adluri Teaching
Assist: Mr. B.C. Mondal (assgnmt)**

**E-mail adluri@mun.ca E-mail
bm6080@**

**Phone 864-3800 Phone **

**Office Location EN-3022 Office Location EN 4030**

**Office Hours Monday 10:00-11:50 a.m. Office Hours **

**Website www.engr.mun.ca/~adluri/5312**

**CALENDAR ENTRY:**

*Begins with an introduction
to earlier concepts then considers strain transformation; deflections of beams
and shafts, energy methods; failure theories; buckling of columns and the
inelastic behaviour of beams. *

**Rationale****:**

*The course gives an insight
into the bending and axial deformation characteristics of mechanical and
structural components such as beams, columns, etc. Continuing from the earlier
course on the stress/strain response of structural elements, this course will
seek to introduce the theory and application of several important principles
for the failure of materials, estimation of deformations, use of energy
methods, etc. Emphasis will be on the basic requirements of satisfying force
equilibrium, compatibility of deformation, and material behaviour. The
laboratory experiments give a physical introduction to the behaviour of
elements when subjected to loads that deform them. *

**PREREQUISITES:** ENGI 4312

**COREQUISITES:** ENGI 1010

**SCHEDULE:** LECTURE: MWF
12:00-12:50 pm Room: EN4035

TUTORIAL: Monday
4:00-4:50 Room: EN1054

**CREDIT VALUE: **3
credits

**RESOURCES:**

** Text book**

·
**Mechanics of Materials by R.C. Hibbeler,
Prentice-Hall**

**REFERENCES:
**As discussed in class from time to time

**MAJOR TOPICS:**

**1. Combined Loads (quick review) and Stress Transformation **

1.1 Plane
Stress Transformation

1.2 General Equations for Stress Transformation

1.3 Principal Stresses and Max. In-Plane Shear Stress

1.4 Mohr’s Circle for Stresses

1.5 Absolute Max. Shear Stress

**2. Strain Transformation **

2.1 Plane Strain (Review)

2.2 Equations of Plane Strain Transformation (over
view)

2.2.1 Principal strains (over view)

2.2.2 Maximum in-plane shear strain (over view)

2.3 Mohr's Circle for Plane Strain (over view)

2.4 Absolute Maximum Shear Strain (over view)

2.5 Strain Gauge Rosettes

2.6 Material Property Relationships

2.7 Theories of Failure

2.7.1 Ductile materials

2.7.2 Brittle materials

2.8 Inelastic Bending and Residual Stresses
(optional)

**3. Deflection of Beams and Shafts **

3.1 Elastic Curve

3.2 Slope and Displacement of Statically
Determinate Beams and Shafts

3.2.1 Integration method

3.2.1 Discontinuity functions

3.2.1 Moment-Area method

3.2.1 Method of superposition

3.3 Slope and Displacement of Statically
Indeterminate Beams and Shafts

3.3.1 Integration method

3.3.1 Moment-Area method

3.3.1 Method of superposition

**4. Buckling of Columns **

4.1 Critical Load

4.1.1 Ideal column with pin supports

4.1.2 Fixed and pinned supports

4.2 Secant Formula (optional)

**5. Energy Methods **

5.1 External Work and Strain Energy

5.1.1 Work of a force

5.1.2 Work of a couple

5.1.3 Strain energy

5.2 Strain Energy for Different Loadings

5.2.1 Axial load

5.2.2 Bending moment

5.2.3 Transverse shear

5.2.3 Torsional moment

5.3 Conservation of Energy

5.4 Impact Loading

5.5 Virtual Work

5.6 Castigliano's Theorem
(optional)

The
topics above may be supplemented with other topics. The optional topics above
may be covered depending upon the interest and time available. All topics that are covered will be part of
the examination.

**LEARNING OUTCOMES: **

Upon successful completion of
this course, the student will be able to:

- Calculate principal stresses strains and
maximum shear stress using equations and Mohr’s circle.
- Have a basic idea of the plane stress,
plane strain and strain gauge calculations.
- Describe basic theories of failure for
ductile and brittle materials.
- Calculate slope and deflection of
statically determinate beams and shafts.
- Calculate slope and deflection of
statically indeterminate beams and shafts.
- Compare analytical and experimental
values of strains in beams.
- Use both measured deflections and theory
to determine the Young’s modulus of a given material.
- Calculate buckling capacity of elastic
columns under axial compression.
- Compare analytical and experimental
values of buckling loads of columns.
- Determine deflections and strains in
simple trusses.
- Explain the relationship of external
work to strain energy.
- Use energy methods to determine strain
energy and calculate internal forces.
- Communicate experimental data, analysis
and conclusions in a clear, professional manner.

**ASSESSMENT: **

**Approximate Due Dates**

Assignments 10%
Assignments are
due one week from announcement unless otherwise agreed upon

Labs 5% TBA

Midterm 25% Feb 9

Final exam 60%

**Exam policy: **The
formula sheet policy is as per the announcement in the class. All or a subset of the preannounced formula sheet will be provided in
the exam. It is the same as that
from the front flaps of the book. __No
extra text or notes are permitted in the exam__. IPODS, Blackberries, MP3 players, or other electronic
storage/retrieval devices are not permitted in the exam. Please see the appropriate guidelines from
the University regarding such matters.

Comprehensive examples will be discussed primarily
during tutorials. During tutorials, the students may be required to solve the
problems in class to gain practice.

Please note that prewritten solutions may or may not be available for
the assignments. However, the tutorial
immediately following the return of each marked assignment is allotted for discussing
the relevant solutions. At that time, if
the students ask for it, the problems can be discussed and may even be solved
in class. If the students do not raise
their need for discussion of the problems, the time will be spent on solving
other problems. The same policy holds
for midterm exams and quizzes, if any.

The students are expected to solve the assignment problems by themselves
in order to reinforce the class instruction.
Please refer to copying policy of the University if there is any doubt. Help with the assignment problems can be
sought during contact hours and/or tutorial time.

Warning: **If the students are unable to draw proper
Free Body Diagrams, Bending Moment and Shear Force Diagrams, the relevant
questions may be marked zero even if the rest of the solution is partly or
wholly correct. The same applies for
using and clearly stating the correct units in any given problem. If the student fails in this, the relevant
questions may be marked as zero.**

**Marks going into the final exam **

If there are any discrepancies, please talk to Dr.
Adluri immediately after the final exam (before leaving the exam hall).

Please note that changes at a later date are not
possible.

**LABS: **

There will be four laboratory exercises. Each
experiment will be set up in the Structures Lab Room EN 1033. Each group will
arrange with the Technician to schedule their use of the equipment.

Students are expected to demonstrate
awareness of, and personal accountability for, safe laboratory conduct.**
**Appropriate personal protective equipment (PPE) must be worn (e.g.
steel-toed shoes, safety glasses, etc.) and safe work practices must be
followed as indicated for individual laboratories, materials and
equipment. Students will immediately
report any concerns regarding safety to the teaching assistant, staff
technologist, and professor.

Lab handouts:

The lab handouts are for general instructions
and explanations only. Students are must
not simply cut and paste material from the handouts. Students must write the report in their own
words. All explanations, calculations,
graphs, etc., must be independently done without copying either from the
handouts or from another group (present or past).

**ACADEMIC INTEGRITY AND
PROFESSIONAL CONDUCT: **

Students are expected to conduct themselves in all aspects of the course
at the highest level of academic integrity. Any student found to commit
academic misconduct will be dealt with according to the Faculty and University
practices. More information is available at www.engr.mun.ca/undergrad/academicintegrity.

Students are encouraged to consult the Faculty of Engineering and
Applied Science Student Code of Conduct at http://www.engr.mun.ca/policies/codeofconduct.php and Memorial University’s
Code of Student Conduct at http://www.mun.ca/student/home/conduct.php.

**INCLUSION AND EQUITY: **

Students who require
physical or academic accommodations are encouraged to speak privately to the
instructor so that appropriate arrangements can be made to ensure your full
participation in the course. All
conversations will remain confidential.

The university experience
is enriched by the diversity of viewpoints, values, and backgrounds that each
class participant possesses. In order
for this course to encourage as much insightful and comprehensive discussion among
class participants as possible, there is an expectation that dialogue will be
collegial and respectful across disciplinary, cultural, and personal
boundaries.

**STUDENT ASSISTANCE:** Student Affairs and Services offers help and
support in a variety of areas, both academic and personal. More information can be found at www.mun.ca/student.

**LAB HANDOUTS**

Lab report general instructions, LAB1, LAB2, LAB3, LAB4

**Assignments**

Assign1, Assign2, Assign3, Assign4, Assign5, Assign6, Assign7, Assign8