| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| STATIC-STRENGTH | MMR106 | 2. Semester | 2 + 2 | 3.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face-to-Face |
| Course Coordinator |
Prof. Dr. Ercan ÖZGAN |
| Instructors |
Ercan ÖZGAN |
| Assistants | |
| Goals | The objective of this course is to introduce the fundamental concepts and principles of statics with engineering applications. In the contex, topic regarding particles and rigid bodies in equilibrium, internal forces in one dimensional structural members, center of gravity, area and mass moment of inertia will be studied and analyzed in the course. In the statics-strength of materials parts, designing structural systems and determination of maximum loads which can be carried safely. By the end of the course, the students are expected to analyze system of forces and moments on structures in two and three-dimensions, to obtain the solution of a static problem by applying the basic concepts and principles of statics, to determine center of gravity, area/mass moment of inertia of composite bodies. |
| Course Content | Introduction and Fundamental Principles, Vectors and Forces, Statics of a Particle, Rigid Bodies and Equivalant Force Systems, Center of Gravity, Equilibrium of Rigid Bodies, Internal Forces in One Dimensional Plane Bars, Plane and SpaceTtrusses, Moments ofIinertia, Introduction, Basic Principles, Internal Forces and State of Stress ,State of Strain, Kinematical Relations, Stress-Strain Relations (Hooke’s Law),Strain Energy, Allowable Stresses, Fundamentals of Strength of Bars, Stress Resultants, Equivalence Relations, Axial Normal Force, Shear Force, Bending, Torsion.. |
| Learning Outcomes |
- Students will be able to get the basic concepts and principles of statics and to apply them to diffrent or new situations. - Students will be able to analyze the structural systems including trusses, beams and cables - Students will be able to solve problems on stress-strain analysis in two and three dimensional bodies. - Students will be able to calculate internal forces in bars. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction and Fundamental Principles. Vectors and Forces. Statics of a Particle. • Definitions. • Vector operations and forces. • Statics of a particle. Rijid Bodies and Equivalent Sytems of Forces. • Rijid bodies. External and internal forces. • Moment of a force about a point. • Moment of a couple. • Equivalent couples. | |
| 2. Week | Centers of Gravity, Moments of Inertia • Introduction. • Center of gravity of two-dimensional areas and lines. • Composite plates and wires. • Parallel axis theorem. | |
| 3. Week | Equilibrium of Rigid Bodies. • Equilibrium of rigid bodies. • Degrees of freedom. • Various types of supports and connections of twodimensional structures. • Plane structural systems. • Various types of loadings affecting on plane structural members. | |
| 4. Week | Internal Forces in Bars-Axial Force, Shear Force, Bending Moment Diagrams. • Internal forces in bars. • Shear force and bending moments in bars. • Relations between loading, shear force and bending moment. Shear force and bending moment diagrams. | |
| 5. Week | Plane and Space Tusses. • Definition of a truss.. • Simple trusses. • Compound trusses. • Anaysis methods of trusses( method of joints, method of sections). • Space trusses and analysis methods. | |
| 6. Week | Internal forces and stresses. | |
| 7. Week | Midterm I | |
| 8. Week | Strains. | |
| 9. Week | Stress-strain relationships (Hooke’s laws). | |
| 10. Week | Stresses and strains in the case of axial normal force. Statically indeterminate problems in the case of axial normal force. Thermal effects. | |
| 11. Week | Stresses and strains in the case of shear force. | |
| 12. Week | Pure bending • Straigth pure bending. Skew pure bending | |
| 13. Week | Torsion • Torsion of circular shafts. • Torsion of non-circular shafts. • Torsion of thin-walled members of open cross section and thin tubular members. | |
| 14. Week | Combined loadings, axial force and bending moment. | |
| 15. Week | Final Exam |
| OMURTAG, M. H., ‘‘Statik Mukavemet’’, 3. baskı, Nobel, İstanbul, 2010. (Textbook) OMURTAG, M. H., ‘‘Statik’’, 4. baskı, Birsen, İstanbul, 2009 Mühendisler İçin Mekanik-Statik: Prof. Dr. F. P. BEER, Prof. Dr. E.R. JOHNSTON (Çevirenler Prof. Dr. Fikret KESKİNEL, Doç. Dr. Tekin ÖZBEK), Birsen Yayınevi. İNAN, M., ‘‘Cisimlerin Mukavemeti ’’, İTÜ Vakfı, İstanbul, 2001. BAKİOĞLU, M., ‘‘Cisimlerin Mukavemeti’’, Beta Yayınevi, İstanbul, 2001. OMURTAG, M. H., ‘‘Mukavemet I’’, 3. baskı, Birsen Yayınevi, İstanbul, 2011. Ferdinand P. Beer, E. Russell Johnston, Jr., John T. Dewolf ‘‘ Mechanics of Materials’’, Fourth Edition, The McGraw-Hill Companies, 2006. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 5 | 0 | 0 | 0 | 0 | - |
| PY2 | 4 | 0 | 0 | 0 | 0 | - |
| PY3 | 3 | 0 | 0 | 0 | 0 | - |
| PY4 | 5 | 0 | 0 | 0 | 0 | - |
| PY5 | 2 | 0 | 0 | 0 | 0 | - |
| PY6 | 4 | 0 | 0 | 0 | 0 | - |
| PY7 | 4 | 0 | 0 | 0 | 0 | - |
| PY8 | 3 | 0 | 0 | 0 | 0 | - |
| PY9 | 4 | 0 | 0 | 0 | 0 | - |
| PY10 | 5 | 0 | 0 | 0 | 0 | - |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 2 | 28 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Midterm 1 | 1 | 4 | 4 |
| Homework 1 | 2 | 4 | 8 |
| Final | 1 | 4 | 4 |
| Practice | 10 | 3 | 30 |
| Total Workload | 102 | ||
| ECTS Credit of the Course | 3.0 | ||
