COURSE UNIT TITLE

: STATICS-STRENGTH OF MATERIALS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MIM 2625 STATICS-STRENGTH OF MATERIALS COMPULSORY 4 0 0 4

Offered By

Architecture

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR TANER UÇAR

Offered to

Architecture

Course Objective

The aim of this course is to provide the student with fundamental concepts of structural mechanics, introduce to various vector quantities and operations, investigate static equilibrium conditions, determine the centroid and moments of inertia of sections, analyze internal forces in plane truss systems and beams, teach the mechanical properties of materials, introduce to stress and strain relations, state of simple and combined stresses, different types of stresses and their distributions, analysis of stress, elastic curve, and also to demonstrate the importance of these concepts in architectural design of structures.

Learning Outcomes of the Course Unit

1   Evaluating under which conditions that the structures stay in equilibrium
2   Determining the centroid and moment of inertia of planar sections
3   Calculating the internal actions in simple structures such as trusses and beams
4   Understanding stresses and their distributions and becoming skillful at designing different structural members under various stress conditions
5   Analyzing deflections and rotations at beams subjected to external loading

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction and historical background. Fundamental concepts and principles. Unit systems. Vectors and vector operations: Definitions and fundamental concepts. Addition of vectors. Unit vector. Resolution of vectors into components. Vector product and scalar product of vectors. Numerical examples.
2 Significant vectors in statics: position vector, moment of a force about a point and a given axis. Force couple. Equivalent system concept. Numerical examples.
3 Equilibrium of rigid bodies: Definitions and fundamental concepts. Free body diagrams. Equilibrium of a particle. Stability of equilibrium. Numerical examples.
4 Centroids and center of gravity: Definitions and fundamental concepts. Centroids of areas. Centroids of plane distributed loads. Numerical examples.
5 Moments of inertia: Fundamental concepts. Moment of inertia of an area. Polar moment of inertia. Parallel-axis theorem. Product of inertia. Numerical examples.
6 Trusses: Fundamental concepts and principles. Analysis of internal forces in truss members by the method of joints. Analysis of internal forces in truss members by the method of sections. Numerical examples.
7 Beams and internal forces in beams: Definitions and fundamental concepts. Functions of internal forces. Axial force, shear force and bending moment diagrams. Relations among distributed load, shear, and bending moment. Numerical examples.
8 Mid-term exam.
9 Introduction and historical background. Fundamental concepts and principles. Mechanical properties of materials. Factor of safety and allowable stress. State of simple stresses: Definitions and fundamental concepts. Internal forces.
10 Axial normal force (tension and compression). Numerical examples. Simple shear force.
11 Stress-strain relations. Hooke's law. Numerical examples. Simple (pure) bending of beams. Assumptions and hypothesis. Fundamentals of simple bending and normal stress formula. Numerical examples and applications related with simple bending of beams.
12 State of combined stresses: Normal force and bending moment. Definitions and fundamental concepts. Eccentricity. Numerical examples. Shear force and bending moment.
13 Shear force and bending moment. Numerical examples.
14 State of stresses at a point: Uniaxial stress. Biaxial stress. Graphical representation (Mohr's circle) of uniaxial and biaxial stresses. Numerical examples.
15 Elastic curve: Fundamental concepts and definitions. Differential equation of elastic curve. Boundary conditions. Numerical examples.

Recomended or Required Reading

o Lecture notes
o R.C. Hibbeler, S.C. Fan, Mühendislik Mekaniği-Statik.
o Ferdinand P. Beer, E. Russell Johnston, Mühendisler için Mekanik-Statik.
o F.P.Beer, E.R.Johnston, E.R. Eisenberg, Mühendisler için Vektör Mekaniği-Statik.
o John L. Meriam, L. Glenn Kraige, Mühendislik Mekaniği-Statik.
o Mehmet H. Omurtag, Mühendisler Için Mekanik-Statik.
o Mehmet H. Omurtag, Mühendisler Için Mekanik-Statik Çözümlü Problemler.
o Mehmet Bakioğlu, Necla Kadıoğlu, Statik Problemleri.
o Atilla Orbay, Statik.
o Mustafa Inan, Cisimlerin Mukavemeti.
o S.P. Timoshenko, Strength of Materials Parts I&II.
o Egor Popov, Mukavemet-Katı Cisimlerin Mekaniğine Giriş.
o F.P.Beer and R.Johnston, Cisimlerin Mukavemeti.
o Mehmet Bakioğlu, Cisimlerin Mukavemeti Cilt 1.
o Mehmet Bakioğlu, Cisimlerin Mukavemeti Problem Kitabı Cilt 1.
o Mehmet Bakioğlu, Cisimlerin Mukavemeti Cilt 2.
o Mehmet Bakioğlu, Cisimlerin Mukavemeti Problem Kitabı Cilt 2.
o Mehmet H. Omurtag, Mukavemet Cilt 1.
o Mehmet H. Omurtag, Mukavemet Çözümlü Problemler Cilt 1.
o Mehmet H. Omurtag, Mukavemet Cilt 2.
o Mehmet H. Omurtag, Mukavemet Çözümlü Problemler Cilt 2.
o Tekin Özbek, Mukavemet.
o Mehmet Bakioğlu, Cisimlerin Mukavemeti.
o M.Bakioğlu, N. Kadıoğlu ve H. Engin, Mukavemet Problemleri (Kısa Teori ve Problemler) Cilt 1.
o N. Kadıoğlu, H. Engin ve M.Bakioğlu, Mukavemet Problemleri Cilt 2.

Planned Learning Activities and Teaching Methods

The course will be taught in a lecture interactively and numerical example applications will also be supplied abundantly during the lecture. Various presentations can be made as needed.

Assessment Methods

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


Further Notes About Assessment Methods

None

Assessment Criteria

Mid-term Exam 50% (LO1, LO2, LO3)
Final Exam 50% (LO1, LO2, LO3, LO4, LO5)

Language of Instruction

Turkish

Course Policies and Rules

Attendance to the 70% of the lectures is compulsory in order to be accepted to the final exam.

Contact Details for the Lecturer(s)

taner.ucar@deu.edu.tr

Office Hours

Any suitable time.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 20 20
Preparation for final exam 1 25 25
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 105

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.14354354
LO.24354354
LO.34454354
LO.434533544
LO.534433544