Credit Structure: (4-0)4

Catalog Description:
Principles of mechanics. Elements of statics in two dimensions. Centroids and moments of inertia. Analysis of simple plane structures. Internal force diagrams. Concepts of stress and strain. Axially loaded members. Torsion. Laterally loaded members.

Course Objectives:
The course is designed to equip the students in different branches of engineering with basic concepts of statics and strength of materials.

Prerequisites:
MATH 152

Textbook(s):
F.P. Beer and E.R. Johnston, '"Vector Mechanics for Engineers: Statics", Vol. I, SI edition, McGraw-Hill, 1990.
F.P. Beer and E.R. Johnston, "Mechanics of Materials", SI edition, McGraw-Hill, 1990.

References:
None

Syllabus:
Part 1: Statics
1. Introduction : fundamental concepts and principles of mechanics (1 hour)
2. Basic concepts: force, resultant of forces in plane and in space, equilibrium of concurrent forces in plane and space, free body diagrams (5 hours)
3. Equivalent system of forces: principle of transmissibility, moment of a force about a point, couples, equivalent system of forces (4 hours)
4. Equilibrium of rigid bodies: free body diagrams and ideal support conditions, equilibrium of a two force body, equilibrium of a rigid body in two dimensions (5 hours)
5. Distributed forces: resultants of distributed forces, centroids, center of gravity, second moment of an area (3 hours)
6. Analysis of structures: trusses, truss analysis with method of joints and method of sections, analysis of simple frames (5 hours)
7. Internal forces in members: axial force, shear and bending moment diagrams, relations among load, shear and bending moment (4 hours)
Part 2: Strength of materials
8. Concept of stress: normal, shearing and bearing stresses; stress on an oblique plane under axial loading, stress under general loading conditions, ultimate and allowable stresses, factor of safety (6 hours)
9. Concept of strain: normal strain under axial loading, stress-strain diagram, Hooke's law, deformations of members under axial loading, multiaxial loading, generalized Hooke's law, shearing strain (7 hours)
10.Torsion: stresses and angle of twist in the elastic range (4 hours)
11.Pure bending: stresses and deformations under pure bending, eccentric axial loading in a plane of symmetry (6 hours)
12.Transverse loading: determination of the shear on a horizontal plane, shearing stresses in a beam (2 hours)

Homeworks, Quizzes, Projects:
3 to 5 homeworks and/or quizzes.

Computer Usage:
Some homeworks are designed to be solved with computer.

Laboratory work:
None

Category Content:
Mathematics and Basic Sciences: 2
Engineering Design: None
Engineering Sciences: 2
Humanities & Social Sciences: None
Departmental: None

Instructors:
Dogan Turhan, Yusuf Orcan, Akif Kaynak, Turgut Tokdemir