COURSE UNIT TITLE

: STRUCTURE AND GEOMETRY - I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ARC 5033 STRUCTURE AND GEOMETRY - I COMPULSORY 2 0 0 5

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR AHMET VEFA ORHON

Offered to

Structural Construction Design
Structural Construction Design

Course Objective

The course aims to give the students an understanding of geometry of curved quadric surfaces, which are the main forms of contemporary large-span structures.

Learning Outcomes of the Course Unit

1   Recognizing geometrical properties of structural systems.
2   Recognizing curve geometries.
3   Recognizing quadric surfaces.
4   Recognizing derivations of rotational, translational and ruled surfaces.
5   Determining the formulas of recognized curved surfaces analytically.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to the course, structure systems and geometry, Explanation of structure systems that will be covered
2 Curvatures Geometry of curved surfaces, Quadric surfaces, Definitions: Curvature, radius of curvature, Gaussian Curvature.
3 Synclastic and anticlastic surfaces.
4 Synclastic Rotational surfaces. Cone, Cylinder, Sphere, Hyperboloid of two sheets, Anticlastic Rotational surfaces. Hyperboloid of one sheet, torus (toroid). Individual assignment on analytical determination of rotational, translational and ruled surface geometries, due next week
5 Derivation of General Formulas of Surfaces of Rotation.
6 Application study: Determining the coordinates of members of a Rotational surface. Individual assignment
7 Application study: Determining the coordinates of members of a Rotational surface. Individual assignment
8 Translational surfaces Elliptical Paraboloid, Hiperbolic Paraboloid Derivation of General Formulas of Translational Surfaces
9 Application study: Determining the coordinates of members of a translational surface. Individual assignment
10 Ruled surfaces
11 Derivation of General Formulas of Ruled Surfaces
12 Application study: Determining the coordinates of members of a ruled surface. Individual assignment
13 Mid-term Exam
14 Submission of homework applications and other assignments.

Recomended or Required Reading

Textbook(s):
- Türkçü, Ç. (2009). Çağdaş Taşıyıcı Sistemler. 2nd Edition. Birsen Yayınevi.
Supplementary Book(s):
- Bentley, D. (2007). Architectural Geometry. Bentley Institute Press.
- Catalano, E. (1986). Structure and Geometry. Cambridge Architectural Press.
- Calter, P.A. (2008). Squaring the Circle: Geometry in Art and Architecture. Key Curriculum Press.
- Hahn, A.J. (2012). Mathematical Excursions to the World's Great Buildings. Princeton University Press.
- Borrego, John. Space Grid Structures, MIT Press,1972
- Current literature (books, magazines, etc.) related to the topics.

Planned Learning Activities and Teaching Methods

This is a lecture course supported by homeworks. Definitions of curvature, Gaussian Curvature, synclastic and anticlastic surfaces, generation of quadric, rotational, translational and ruled surfaces. The analytical formulation of these surfaces will be given to students as well as their applied examples related to each topic.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Mid-term Exam: % 30 (LO1, LO2, LO3)
1st Assignment: % 10 (LO4)
2nd Assignment: % 10 (LO5)
Final Exam: % 50 (LO1, LO2, LO3,LO4,LO5)

Language of Instruction

English

Course Policies and Rules

This course is taught in a lecture and assignment format. Each student should take part in lectures and hand in their assignments.

Contact Details for the Lecturer(s)

vefa.orhon@deu.edu.tr , 0 232 301 84 49

Office Hours

to be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparation for midterm exam 1 30 30
Preparation for final exam 1 35 35
Preparing assignments 3 10 30
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 125

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.1111
LO.2111
LO.3111
LO.4111
LO.5111

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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