INSTRUCTOR: DOĞAN  TURHAN  Office:  MM 503

COURSE OUTLINE

PART A: STATICS

TEXTBOOK: F. P. Beer and E. R. Johnston, Jr., Vector Mechanıcs for Engineers STATICS, Third SI Metrıc Edition, McGraw-Hill.

1. INTRODUCTION (Reading Assignment) 

2.   STATICS OF PARTICLES (~ 4 hrs.)

1.1. Introduction
1.2. Force on a particle.  Resultant of Two Forces
1.3. Vectors
1.4. Addition of Vectors
1.5. Resultant of Several Concurrent Forces
1.6. Resolution of a Force into Components
1.7. Rectangular Components of a Force .  Unit Vectors
1.8. Addition of  Forces by Summing x- and y- components
1.9. Equilibrium of a Particle
1.10.   Newton’s First Law of Motion
1.11.   Problems Involving the Equilibrium of of a Particle.  Free-body Diagram
1.12.   Rectangular Components of a Force in Space
1.13.   Force Defined by Its Magnitute and Two Points on Its Line of Action
1.14.   Addition of Concurrent Forces in Space
1.15. Equilibrium of a Particle in Space 

2. RIGID BODIES: EQUIVALENT SYSTEMS OF FORCES (~ 5 hrs)

2.1. Introduction
2.2.  External and Internal Forces
2.3. Principal of Transmissibility.  Equivalent Forces
2.4. Vector Product of Two Vectors
2.5. Vector Products Expressed in Terms of Rectangular Components
2.6. Moment of a Force About a Point
2.7. Varignon’s Theorem
2.8. Rectangular Components of the Moment of a Force
2.9. Scalar Product of Two Vectors
2.10. Mixed Triple Product of Three Vectors
2.11. Moment of a Force About a Given Axis
2.12. Moment of a Couple
2.13. Equivalent Couples
2.14. Addition of Couples
2.15. Couples May be Represented by Vectors
2.16. Resolution of a Given Force into a Force at O and a Couple
2.17. Resolution of a System of Forces to One Force and One Couple
2.18. Equivalent Systems of Forces
2.19. Further Reduction of a System of Forces

3. EQUILIBRIUM OF RIGID BODIES (~ 5 hrs)

3.1. Introduction
3.2. Free-Body Diagram 
 

EQUILIBRIUM IN TWO-DIMENSIONS

3.3. Reactions at Supports and Connections for a Two-Dimensional Structure
3.4. Equilibrium of a Rigid Body in Two Dimensions
3.5. Statically Indeterminant Reactions.  Partial Constraints
3.6. Equilibrium of a Two-Force Body
3.7. Equilibrium of a Three-Force Body
3.8. Reactions at Supports and Connections for a Three-Dimensional Structure
3.9. Equilibrium of a Rigid Body in Three-Dimensions

4. DISTRIBUTED FORCES:  CENTROIDS AND CENTERS OF GRAVITY ( ~3 hrs)

Appendix A: Moments of Areas in the textbook assigned for Part B: Strength of Materials

5.8. Distrubuted Loads on Beams

6. ANALYSIS OF STRUCTURES (~ 5 hrs)

6.1. Introduction

TRUSSES

6.2. Definition of a Truss
6.3. Simple Trusses
6.4. Analysis of Trusses by the Method of Joints
6.5. Joints Under Special Conditions
6.6. Analysis of Trusses by the Method of Sections

FRAMES AND MACHINES

6.9. Structures Containing Multiforce Members
6.10. Analysis of a Frame

7. FORCES IN BEAMS AND CABLES (~4 hrs)

7.1. Introduction
7.2. Internal Forces in Members

BEAMS

7.3. Various Type of Loading and Support
7.4. Shear and Bending-Moment in a Beam
7.5. Shear and Bending-Moment Diagrams
7.6. Relations among Load. Shear and Bending-Moment

PART B: STRENGTH OF MATERIALS

Textbook:  F. P. Beer and E. R. Johnston, Mechanics of Materials, Second Edition in SI Units , McGraw-Hill, 1992.

1. INTRODUCTION-CONCEPT OF STRESS (6 hrs.)
1.1  Introduction 
1.2  Forces and Stresses 
1.3 Axial Loading: Normal Stress
1.4 Shearing Stress
1.5 Bearing Stress in Connections
1.6 Application to the Analysis of Simple Structures
1.7 Stresses on an Oblique Plane under Axial Loading 
1.8 Stresses under General Loading Conditions: Components of Stress
1.9 Ultimate and Allowable Stress: Factor of Safety 

2.  STRESS AND STRAIN-AXIAL LOADING  (6 hrs) 
2.1 Introduction
2.2 Normal Strain under Axial Loading
2.3 Stress-Strain Diagram
2.4 True Stress and True Strain
2.5 Hooke’s Law: Modulus of Elasticity
2.6 Elastic vs Plastic Behavior of a Material
2.7 Repeated Loadings: Fatique
2.8 Deformations of Members under Axial Loading
2.11. Poisson’s Ratio
2.12. Multiaxial Loading: Generalized Hooke’s Law
      2.14 Shearing Strain
2.15 Relation between E, ? and G
2.16 Saint Venant’s Principle
2.17 Stress Concentrations
         6.9. Stress in Thin-Walled Pressure Vessels (Chapter 6)

3.  TORSION (~4 hrs.)
3.1 Introduction
3.2 Preliminary Discussion of the Stresses in a Shaft
3.3 Deformations in a Circular Shaft
3.4 Stresses in the Elastic Range
3.5 Angle of Twist in the Elastic Range 

4.  PURE BENDING (6 hrs) 
4.1 Introduction
4.2 Prismatic Members in Pure Bending
4.3 Preliminary Discussion of the Stresses in Pure Bending
4.4 Deformations in a Symmetric Member in Pure Bending
4.5 Stresses and Deformations in the Elastic Range
4.13 Eccentric Axial Loading in a Plane of Symmetry
4.14 Unsymmetric Bending
4.15 General Case of Eccentric Axial Loading 

5.  TRANSVERSE LOADING (~4 hrs.)
5.1 Introduction
5.2 Transverse Loading of Prismatic Members
5.3 Basic Assumption Regarding the Distribution of the Stress
5.4 Determination of the Shear on a Horizontal Plane
5.5 Determination of the Shearing Stresses ?xy in a Beam
5.6 Shearing Stresses ?xy  in Common Types of Beams
 
 

ATTENDANCE:  Will be taken everyday.  You are expected to attend at least 70% of the classes.  More than 30% non-attendance may lead to failure.

HOMEWORK:  A homework problem set will be assigned almost every week.  It is essential that you work out the homework problems yourself and hand them in on time.  The importance of homework problems in your success in the course cannot be overemphasized.

GRADING: 

Midterm Exam. I......................          25 % 
Midterm Exam. II...............................30 %
Homework + Attendance...................10  %
 Final Exam........................................35% 
Total..................................................100 %

DATES OF THE MIDTERM EXAMS:
                 Midterm Exam I:            November 04, 2004 (Thursday)
                 Midterm Exam II:           December 09, 2004 (Thursday)