CE 241 Mechanics of Materials 
Fall 2004      
       
Instructor Name Hilmi Lus  
  Office M 3175  
  Office Hours M 12:00-13 :00, W 11:00-12:00  
  Tel. (212) 359 6594  
  e-mail hilmilus@boun.edu.tr  
  home page http://www.ce.boun.edu.tr/eng/people/faculty/lus/  
       
Teaching Assistant    
       
Course Data Hours M 56, W 12  
  Location M 3100  
       
Course Description (2002 Catalog)  
CE 241 Mechanics of Materials   
(4+1+0)4
Concept of modeling and basic principles. Rigid bodies. Equivalent systems of forces. Equilibrium of rigid bodies. Analysis of two-dimensional trusses. Normal and shear forces and moment diagrams in one-dimensional structures. Mechanical properties, static and dynamic loading. Elastic stresses and strains due to axial and shear loading and bending and torsional moments. Transformation of stresses and strain, multidimensional stress-strain relations. Stresses due to combined loading. Failure criteria. Deflection of beams. Elastic stability. Elastokinetics.
     
Couse Objectives    
This course is designed to introduce basic principles of statics for rigid and deformable bodies. The main objective is to help the students develop an intuition for equilibrium, properly constrained systems, and deformation under external loadings. It is also anticipated that the theory and design approach for the mechanics of deformable bodies will help prepare the students for complex systems that will be encountered in advanced design courses.
     
Text Book    
Hibbeler, R.C., "Statics and Mechanics of Materials", International Edition, Prentice Hall.
     
Reference Books    
Beer, F.P. and Johnston, E.R., "Vector Mechanics for Engineers - Statics," McGraw-Hill, 1998.
Hibbeler, R.C., "Engineering Mechanics.Statics," McMillan. TA351.H5 1989.
Bedford, E. and Fowler, W., "Statics, engineering mechanics," Addison Wesley Pub. Co.  TA351 .B43 1997.
Popov, E.P., "Mechanics of Materials," Prentice Hall.  TA405 .P68 1978.
 
Design Content    
This course introduces the basic principles of mechanics with direct implications and applications to design of structures. Estimated design content is 30%.
     
Computer Usage    
The students are encouraged to use either commercial software or to write their own codes for analysis of truss systems. A particular case where the students may require computer usage is the non-mandatory design project.
     
Class Policies    
Quiz
20%    
Midterm (at least two)
50%    
Final
30%    
Project
bonus    
     
Contribution of the Course to Program Objectives  
This course is intended to contribute to the following program outcomes:  
ü
(a)
An ability to apply knowledge of mathematics, science and engineering
 
(b)
An ability to design and conduct experiments, as well as to analyze and interpret data
ü
(c)
An ability to design a system, component, or process to meet desired needs
 
(d)
An ability to function on multi-disciplinary teams
ü
(e)
An ability to identify, formulate and solve engineering problems
 
(f)
An understanding of professional and ethical responsibility
 
(g)
An ability to communicate effectively
 
(h)
The broad education necessary to understand the impact of engineering solutions in a global and societal context
 
(i)
A recognition of the need for, and ability to engage in life-long learning
 
(j)
A knowledge of contemporary issues
ü
(k)
An ability to use the techniques, skills and modern engineering tools necessary for engineering practice
     
Course Assessment    
Course will be assessed on the basis of the accomplishments regarding the course objectives and the contributions to the program outcomes. The evaluation will consist mainly of the responses from the students, who will provide their comments to various course related questions in the final week of the semester.
     
     
     

Week

Topics

Reading Assignments

Homework Assignments

Objectives

1
Basic Concepts
 Chapter 1, Handout 1
Mathematical preliminaries. Definition of basic scalar and vectoral quantities. Concept of moment. Moment about a point and an axis.
2
Force Systems
QUIZ 1
Chapter 2, Chapter 3, Sect. 6.1 - 6.5
  HOMEWORK II (handout)
Resolution of forces. Equivalent system of forces. Resultants. Forces acting on a rigid body. Resultants of distributed forces. Center of gravity.
3
Equilibrium
QUIZ 2  
Chapter 4
Reaction forces. Equilibrium of a rigid body. Statical Determinacy. Proper and improper constraints.
4
Analysis of Trusses
MIDTERM 1
Chapter 5
Method of joints. Internal forces in a truss. Method of sections. Structures containing multi-force members.
5
Analysis of Beams
QUIZ 3
Chapter 7
Forces in beams. Shear and bending moment diagrams. Differential relations. Singularity functions.
6
Stress & Deformation
QUIZ 4
Chapter 8,  Chapter 9
HOMEWORK VI (handout)
Stress. Stress components in Cartesian coordinates. Pure axial load. Average shear. Safety factors and design. Deformation. Constitutive relations.
7
Axially Loaded Bars
QUIZ 5
Chapter 10
HOMEWORK VII (handout)
St. Venant's Principle. Statical indeterminacy. Thermal stresses.
8
Torsion of Circular Shafts
Chapter 11
HOMEWORK VIII (handout)
Torsinal deformation. Torque and rotation. Statically indeterminate torque loaded members. Composite bars.
9
Moments of Areas
MIDTERM 2
Sec. 6.6 - 6.9
HOMEWORK IX (handout)
Moments of areas. Centroid. Area and volume theorems. Second moments of areas. Parallel axis theorem. Principle axes and moments.
10
Bending
Chapter 12
HOMEWORK X (handout)
Pure bending of beams. Flexure formula. Bending about two axes. Eccentric axial load.
11
Deflection and Shear Stress in Beams
QUIZ 6
Chapter 16
HOMEWORK XI (handout)
Derivation of the differential equation for flexural beam deflection. Shear stresses in beams.
12
Transverse Shear
QUIZ 7
Chapter 13
HOMEWORK XII (handout)
Transverse shear and the shear formula. Limitations of the shear formula. Shear flow and shear center.
13
Principal Stresses
Chapter 15
HOMEWORK XIII (handout)
Transformation of stress at a point. Mohr's circle. Maximum and Minimum stresses.
14
Buckling
 Chapter 17
HOMEWORK XIV (handout)
Stability of equilibrium. Linear buckling theory. Buckling of a column fixed at one end. Beam-columns.