At the end of this course, the students; 1) To advance strength of material knowledge with the application of elastic theory and to use this knowledge to solve special loading conditions for the structural components design. 2) Performing elastic body analysis with general stress and strain knowledge. 3) Analyzing structures that have unsymmetrical cross section through stress and strain calculations. 4) To use stress functions in general torsion problems and to design structures in torsion considering the warping effect. 5) Gaining the ability to design and to solve complex engineering structures using energy principals.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
It is strongly suggested that students have previously taken course on strength of materials.
COURSE DEFINITION
Cauchy stress principle and definition of stress vector on a surface element. Stress tensor at a point in material continuum. Stress analysis of compound loading conditions. Mohr's circle in 3-D stress distribution. General elastic constitutive equations. Unsymmetrical bending, shear and torsion problems. Prandtl stress function. Energy methods. Application of Castigliano's theorem on various practical problems. Elastic and inelastic deformation analysis. Elastic and inelastic buckling of columns.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Stress state, stress equation of equilibrium.
2nd Week
Stress invariants and principal stresses. 3-dimensional Mohr circle.
3rd Week
Displacements and strain, equations of compatibility.
4th Week
Theory of elasticity, product of inertia.
5th Week
Principal moment of inertia, Mohr circle of inertia.
6th Week
Shear deformation in bending, the difference with respect to classical theory.
7th Week
Analysis of unsymmetrical bending.
8th Week
Shear center, shear center of unsymmetrical cross-section.
9th Week
General torsion, Poisson's equation and warp.
10th Week
Analysis with Prandtl stress function on torsion problems, cross-sections other than circles.
11th Week
Torsion analysis on open, closed or hybrid thin-walled sections.
12th Week
Energy approach on elastic materials, principle of virtual work.
13th Week
Strain energy calculations on various loading cases, Castigiliano theorem and its applications.
14th Week
Elastic and inelastic buckling.
RECOMENDED OR REQUIRED READING
(1) S Advanced Strength and Applied Elasticity, AC Ugural, SK Fenster, 4th edition, Prentice Hall, 2003 (2) Cisimlerin Mukavemeti, FP Beer, R Johnston, Çeviri: ÖR Akgün, Beta Basım, 2003.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
40
Assignment
1
10
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
50
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
14
3
42
Preparation for Final exam
1
25
25
Course hours
14
3
42
Preparation for Midterm exam
1
15
15
Laboratory (including preparation)
Final exam
1
2,5
2,5
Homework
2
10
20
Total Workload
148,5
Total Workload / 30
4,95
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
