ENGR – 2204 Statics and
Mechanics of Materials
Credit Hours: 4-0-4
Pre-requisite: Calculus III (MATH 2213) and Principles of
Physics I (PHYS 2221K)
Catalogue Description:
In this course, the principles of statics
(vector based) in two and three dimensions (as it relales
to their applications in the analysis of structures, machines and friction) and
the mechanics of deformable bodies; stress, strain, axial loading, torsion, and
bending of beams, principal stresses and Mohr’s circle for Plane stress will be
covered.
Semester Offered: Fall, 2004
Periods per Week: 4 – 50 minutes lecture
Class Meetings: Monday, Wednesday, Thursday and Friday –
Outside Preparation: Two hours per
lecture period
Text: “Statics and Mechanics of Materials – An Integrated
Approach”, Second edition by William F. Riley, Leroy D. Sturges
and Don H. Morris, John Wiley & Sons, Inc., 2002
Instructor: Atin K. Sinha, Ph.D., P.E.
Office:
ACAD Bldg., Room 212
Phone:
229-430-4820 (office), 229-430-4811 (department secretary)
E-mail: asinha@asurams.edu
Office Hours: Monday, Wednesday, Thursday, Friday -
Detailed
Outline:
Statics
I. Introduction
a)
Mechanics
b)
Fundamental Concepts
c)
Newton's Laws of Motion
d)
System of Units and Unit Conversion
e)
Dimensional Homegeneity
II.
Force Vectors and Particle Equilibrium
a) Vector Representation of Forces
b) Resultant of A System of Coplanar Forces
c) Resolution of Forces into Components
d) Addition and Subtraction of Forces - Dot
Product
e) Condition of Equilibrium of A Particle -
2D and 3D
III. Moment of A Force
a)
Cross Product
b)
Moments of A Force about a Point and about an Axis
c)
Couples
d)
Equivalent Force System
e)
Center of Gravity and Moment of Inertia
f)
Centroids of Areas and Composite Bodies
g)
Distributed Loading
IV. Rigid Body
Equilibrium
a)
Free Body Diagram
b)
Conditions for Rigid Body Equilibrium in 2D and 3D
c)
Equations of Equilibrium and Applications
V. Structural
Analysis
a)
Plane Trusses
b)
Method of Joints
c)
Method of Sections
d)
Space Trusses
VI.
Friction
a) Characteristics
of Dry Friction
b)
Problems in Dry Friction
Mechanics
of Materials
VII.
Stress, Strain, Deformation and Axial Loading
a) Normal, Shear and
Bearing Stress
b) Displacement,
Deformation and Strain
c)
Stress - Strain Relationship - Hooke's Law
d)
Allowable Stresses and Factor of Safety
e)
Deformation of Axially Loaded Members
f)
Statically Indeterminate Structures
g)
Temperature Effects
VIII. Torsion of Circular Shafts
a)
Torsional Shearing Strain
b)
Torsional Shearing Stress -Elastic Torsion Formula
c)
Torsional Displacement
d)
Power Transmission of A Torsional Shaft
IX. Beams
a) Flexural Strains
b) Flexural Stresses
c) Flexure Formula
d) Shear Force and
Bending Moment
e)
Shear Force and Bending Moment Diagrams
f)
Shearing Stresses in Beams
X. Combined Loading
a) Plane Stress
b)
Principal Stresses
c)
Mohr's Circle for Plane Stress
Attendance Policy:
Regular and punctual attendance
in every class is mandatory. More than four unexcused absences will lead to
dismissal from the course. If you indeed have to miss a class due to
unavoidable circumstances, you are responsible for all the announcements and
materials presented in the class. Do not expect your instructor to repeat
the topics that you have missed. All quizzes and tests are to be taken at
the scheduled time. No makeup examination will be given unless extenuating
circumstances exist. Absence from an examination will result in a grade of
‘0’ for that examination.
University Writing
Requirement:
Writing is
integral part of teaching and learning in all disciplines. Writing activities
such as home work, test and quiz in this course may be evaluated for correct
grammar and spelling. All handwritten statements have to be legible. Points may
be taken off for grammatically incorrect statements or bad handwriting.
Quizzes
will be administered as often as needed without any prior notice.
Evaluation Criteria and Grading:
Home
Work 20%
Quizzes 10%
3
Test 30%
Comprehensive
final examination 40%
Total
100%
Grading
will be done according to the usual A to F scale as following:
90
to 100% A, 80 to 89% B, 70 to 79% C, 60 to 69% D, 59% and below F