ADVANCED STRENGTH OF MATERIALS

MAK452

Course Code: MAK452
Semester: -
Theory+Practice: 3 + 0
ECTS: 5

Course Type

Elective Course

Course Level

Bachelor's Degree

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

To develop the principles on which strength is based with the knowledge of elastic theory and to use them in special loading situations of structural elements.
Performing elastic body analysis with general stress and strain knowledge.
Analyzing structures that have unsymmetrical cross section through stress and strain calculations.
To use stress functions in general torsion problems and to design structures in torsion considering the warping effect.
Gain the ability to solve thin wall problems using energy relations.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

It is strongly suggested that students have previously taken course on strength of materials.

Course Description

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
1^st Week	Stress state, stress equation of equilibrium.
2^nd Week	Stress invariants and principal stresses. 3-dimensional Mohr circle.
3^rd Week	Displacements and strain, equations of compatibility.
4^th Week	Theory of elasticity, product of inertia.
5^th Week	Principal moment of inertia, Mohr circle of inertia.
6^th Week	Shear deformation in bending, the difference with respect to classical theory.
7^th Week	Analysis of unsymmetrical bending.
8^th Week	Shear center, shear center of unsymmetrical cross-section.
9^th Week	General torsion, Poisson's equation and warp.
10^th Week	Analysis with Prandtl stress function on torsion problems, cross-sections other than circles.
11^th Week	Torsion analysis on open, closed or hybrid thin-walled sections.
12^th Week	Energy approach on elastic materials, principle of virtual work.
13^th Week	Strain energy calculations on various loading cases, Castigiliano theorem and its applications.
14^th Week	Elastic and inelastic buckling.

Recommended 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	45
Assignment	4	5
Total(%)		50
Contribution of In-term Studies to Overall Grade(%)		50
Contribution of Final Examination to Overall Grade(%)		50
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
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 Work Load			148.5
Total Work Load / 30 (h)			4.95
ECTS Credit of the Course			5

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4	LO5
K1	X	X	X	X	X
K2	X	X	X	X	X
K3
K4
K5
K6
K7
K8
K9
K10
K11