COURSE UNIT TITLE

: FOUNDATIONS OF SOLID MECHANICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5043 FOUNDATIONS OF SOLID MECHANICS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR EVREN MELTEM TOYGAR

Offered to

Mechanics
Mechanics
Mechanics

Course Objective

The objective of this course is to learn how to formulate problems in mechanics and how to reduce the engineering problems into mathematical modelling, as well as to analyse, to solve by considering science. The reducing of general ideas to a mathematical form by using indicial notation will be the objective of the fomulation in solid mechanics to simplifiy the complexity of the problem.

Learning Outcomes of the Course Unit

1   To give the definition of continuum mechanics deals with physical properties of solids and fluids which are independent of any particular coordinate system where they are observed.
2   To give the definition of tensors, which are mathematical objects, which are used to define physical properties
3   To give the properties of displacement field, material particle, strain field, stres field, the state of stress at a material particle, traction vector interms of indicial notation because of the easily solving the problems.
4   To give the modelling of Lagrangian displacements (large displacements) on the response of space frames subjected to conservative loading by using indicial notation
5   To give the modelling of the Eulerian displacements (small displacements) by using indicial notation
6   To give the basic theory of eulerian (convected) system that is a local reference system, which is convenient for the definition of the element strain energy (e U) in the presence of large nodal displacements

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction (Concepts, definition and basic laws in solid mechanics)
2 Analyticaldefinition of scalars, vectors and cartesian tensors
3 Matrices and determinants, transform of coordinates
4 Stress and strain analysis
5 Stress vector and notation of stres vector
6 Principal stresses and principal axes, plane state of a stress
7 Midterm 1
8 Analytical Formula for principalstresses in 3-D, shearing stresses, stress deviation tensor
9 Law of motion, Cauchy s formula, equation of equilibrium, constitutive equations , Material description of the motion of a continuum
10 Analysis of deformation, mathematical description of deformation, the strain and the principal strain
11 Lagrangian and Eulerian strain tensor
12 Midterm 2
13 Isotropy and mechanical properties of several solids
14 Solution for some problems in solid mechanics

Recomended or Required Reading

1- F.C.Fung, Foundation of Solid Mechanics, Prentice Hall International, Inc., 1994.
2- S.Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw-Hill, New York, N.Y., 1970.

Planned Learning Activities and Teaching Methods

This course is taught in a lecture, class presentation, problem-session and discussion format. All students are expected to attend both in lecture and problem-session, discussion so they are also expected to solve on their own and submit homework in time.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE 1 * 0.25 + MTE 2 * 0.25 + FCG * 0.5
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE 1 * 0.25 + MTE 2 * 0.25 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Optional

Language of Instruction

English

Course Policies and Rules

Optional,

Contact Details for the Lecturer(s)

Doç.Dr. M. Evren Toygar, evren.toygar@deu.edu.tr
Dokuz Eylül University, Faculty of Engineering
Phone: 0 232 301 92 25

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparation for midterm exam 2 15 30
Preparation for final exam 1 20 20
Preparing assignments 4 10 40
Preparations before/after weekly lectures 12 5 60
Final 1 4 4
Midterm 2 5 10
TOTAL WORKLOAD (hours) 200

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.13434
LO.23435
LO.35435
LO.44435
LO.55435
LO.64435

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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