Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| FUNDAMENTAL MECHANICS for BIOMEDICAL ENGINEERING | - | Fall Semester | 3+0 | 3 | 8 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | Second Cycle (Master's Degree) |
| Course Type | Elective |
| Course Coordinator | Assist.Prof. Elif HOCAOĞLU |
| Name of Lecturer(s) | Assist.Prof. Elif HOCAOĞLU |
| Assistant(s) | |
| Aim | The objective of the course is to enable students to • understand the role of biomechanics in engineering and science, • recognize the principles of mechanics to analyze the mechanical behaviour of the biological systems, • develop solutions to analyze the motion of the biomechanical systems by using relevant concepts in calculus and laws of physics, • simulate and analyze various biomechanical models based on the analogies between the mechanical elements and human body parts. • learn the fundamental concepts of biomechanics and apply those to analyze analyzing the mechanical behavior of various complex biomedical problems • develop skills for analyzing, interpreting and presenting biomechanical models by using computational tools. |
| Course Content | This course contains; Introduction to Biomechanics, Application of Biomechanics, Fundamentals of Biomechanics, Force Vectors,Force System Resultants, Moment of a Force about a Specified Axis, Moment of a Couple, Force Types, Pressure, Equilibrium of a Particle, The Free Body Diagram, Statics: Newton’s Law, Equilibrium Equations, Constraints and Reactions, Support Structures,Applications of Statics to Biomechanics,Applications of Statics to Biomechanics,Centroids, Center of Mass, Distributed Loads, Moment of Inertia, Friction, Application to Biomechanics,Internal Forces and Moments: Axial Force, Shear Force, Bending, Torsion Moment, Stress and Strain, Uniaxial Tension Test, Load-Elongation Diagram, Multiaxial Deformations and Stress Analyses, Mohr Circle, Application to Biomechanics,Linear Kinematics: Linear Motion, Curvilinear Motion, Biaxial Motion, Application to Biomechanics,Linear Kinetics: Newton’s Second Law of Motion, The Equation of Motion: 1-Normal and Tangential Coordinates, 2-Cylindrical Coordinates, Central Force Motion, Application to Biomechanics,Linear Kinetics: Work, Energy and Power, Potential, Kinetic and Elastic Energy, Conservation of Energy, Application to Biomechanics,Angular Kinematics: Polar Coordinates, Angular Position, Angular Velocity, Angular Acceleration, Rotational Motion, Relationships Between Linear and Angular Quantities, Relative Motion, Linkage Systems, Application to Biomechanics,Impulse and Momentum: Linear Impulse and Momentum, Conservation of Linear Momentum, Angular Momentum, Angular Momentum of a Human Body,Three Dimensional Kinematics of a Rigid Body,Three Dimensional Kinetics of a Rigid Body,Applications of Kinetics and Kinematics to Biomechanics. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| After taking this course, students will be able to : 1. Analyze a biomechanical problem under static conditions 1.1. Express the system in free body diagram and solve rigid-body equilibrium problems using the equations of equilibrium. 1.2. Use principles of mechanics to analyze biomechanical systems, such as human musculoskeletal system. | 10, 16, 6 | A, E, G |
| 2. Determine the internal loading in a body at a specific point 2.1. Obtain the internal shear force and bending moment and express them in the shear-moment diagrams. 2.2. Analyze the forces of the body resisting against various types of loadings. | 10, 16, 6 | A, E, G, H |
| 3. Recognize the concepts of position, velocity, and acceleration, and analyze how movements are produced. 3.1. Investigate motion of a body along a straight line or a curved path using different coordinate systems. 3.2. Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinematics. | 10, 16, 6 | A, E, G |
| 4. Analyze the accelerated motion of a body using the equation of motion defined in different coordinate systems. 4.1. Solve kinetic problems using the conservation of energy. 4.2. Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinetics. | 10, 16, 9 | A, E, F, G |
| 5. Apply the principles of linear and angular momentum to solve rigid-body planar kinetic problems. | 10, 16, 6, 9 | A, E, G |
| 6. Identify the analogies between the mechanical elements and the human body parts, and analyze various biomechanical models based on these physical similarities. | 10, 16, 6, 9 | A, E, G |
| 7. Analyze and simulate a biomechanical model 7.1. Identify, formulate, and solve a defined engineering problem using their technical skills, such as MATLAB/Simulink, C++, CAD tools. 7.2. Take part in a product-oriented study 7.3. Work in a team and communicate effectively in Turkish and English by oral, written, graphical and technological means. 7.4. Develop interdisciplinary approaches in theory and practice. | 10, 16, 6, 9 | A, E, G |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework, F: Project Task, G: Quiz, H: Performance Task |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to Biomechanics, Application of Biomechanics, Fundamentals of Biomechanics, Force Vectors | PPT presentations |
| 2 | Force System Resultants, Moment of a Force about a Specified Axis, Moment of a Couple, Force Types, Pressure, Equilibrium of a Particle, The Free Body Diagram, Statics: Newton’s Law, Equilibrium Equations, Constraints and Reactions, Support Structures | PPT presentations |
| 3 | Applications of Statics to Biomechanics | PPT presentations |
| 4 | Applications of Statics to Biomechanics | PPT presentations |
| 5 | Centroids, Center of Mass, Distributed Loads, Moment of Inertia, Friction, Application to Biomechanics | PPT presentations |
| 6 | Internal Forces and Moments: Axial Force, Shear Force, Bending, Torsion Moment, Stress and Strain, Uniaxial Tension Test, Load-Elongation Diagram, Multiaxial Deformations and Stress Analyses, Mohr Circle, Application to Biomechanics | PPT presentations |
| 7 | Linear Kinematics: Linear Motion, Curvilinear Motion, Biaxial Motion, Application to Biomechanics | PPT presentations |
| 8 | Linear Kinetics: Newton’s Second Law of Motion, The Equation of Motion: 1-Normal and Tangential Coordinates, 2-Cylindrical Coordinates, Central Force Motion, Application to Biomechanics | PPT presentations |
| 9 | Linear Kinetics: Work, Energy and Power, Potential, Kinetic and Elastic Energy, Conservation of Energy, Application to Biomechanics | PPT presentations |
| 10 | Angular Kinematics: Polar Coordinates, Angular Position, Angular Velocity, Angular Acceleration, Rotational Motion, Relationships Between Linear and Angular Quantities, Relative Motion, Linkage Systems, Application to Biomechanics | PPT presentations |
| 11 | Impulse and Momentum: Linear Impulse and Momentum, Conservation of Linear Momentum, Angular Momentum, Angular Momentum of a Human Body | PPT presentations |
| 12 | Three Dimensional Kinematics of a Rigid Body | PPT presentations |
| 13 | Three Dimensional Kinetics of a Rigid Body | PPT presentations |
| 14 | Applications of Kinetics and Kinematics to Biomechanics | PPT presentations |
| Resources |
| 1. Russell C. Hibbeler: Engineering Mechanics: Statics & Dynamics (14th Edition), Prentice Hall, 2016, ISBN-9780133915457. 2. Peter M. McGinniss: Biomechanics of Sport and Exercise (3th Edition), Human Kinetics, Champaign, 2013, ISBN-13: 9780736089104. 3. N. Özkaya, D. Leger, D. Goldsheyder, M. Nordin: Fundamentals of Biomechanics: Equilibrium, Motion, and Deformation (4th Edition), Springer, 2016, ISBN-9783319447384. |
| 1. J. Hamill, K. Knutzen, T. Derrick: Biomechanical Basis of Human Movement (4th Edition), Lippincott, Williams and Wilkins, 2014, ISBN-13:9781451177305. 2. John McLester, Peter St. Pierre: Applied Biomechanics: Concepts and Connections (1st Edition), 2008, ISBN-13: 9780495105862. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Develop and deepen knowledge in the same or in a different field to the proficiency level based on Bachelor level qualifications. | ||||||
| 2 | Conceive the interdisciplinary interaction which the field is related with. | ||||||
| 3 | Use of theoretical and practical knowledge within the field at a proficiency level and solve the problem faced related to the field by using research methods. | ||||||
| 4 | Interpret the knowledge about the field by integrating the information gathered from different disciplines and formulate new knowledge. | ||||||
| 5 | Independently conduct studies that require proficiency in the field. | ||||||
| 6 | Take responsibility and develop new strategic solutions as a team member in order to solve unexpected complex problems faced within the applications in the field. | ||||||
| 7 | Evaluate knowledge and skills acquired at proficiency level in the field with a critical approach and direct the learning. | ||||||
| 8 | Investigate, improve social connections and their conducting norms with a critical view and act to change them when necessary. Communicate with peers by using a foreign language at least at a level of European Language Portfolio B2 General Level. | ||||||
| 9 | Define the social and environmental aspects of engineering applications. | ||||||
| 10 | Audit the data gathering, interpretation, implementation and announcement stages by taking into consideration the cultural, scientific, and ethic values and teach these values. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 50 | |
| Rate of Final Exam to Success | 50 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 3 | 42 | |||
| Guided Problem Solving | 14 | 6 | 84 | |||
| Resolution of Homework Problems and Submission as a Report | 4 | 5 | 20 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 2 | 15 | 30 | |||
| Quiz | 3 | 2 | 6 | |||
| Midterm Exam | 1 | 15 | 15 | |||
| General Exam | 1 | 30 | 30 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 227 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(227/30) | 8 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| FUNDAMENTAL MECHANICS for BIOMEDICAL ENGINEERING | - | Fall Semester | 3+0 | 3 | 8 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | Second Cycle (Master's Degree) |
| Course Type | Elective |
| Course Coordinator | Assist.Prof. Elif HOCAOĞLU |
| Name of Lecturer(s) | Assist.Prof. Elif HOCAOĞLU |
| Assistant(s) | |
| Aim | The objective of the course is to enable students to • understand the role of biomechanics in engineering and science, • recognize the principles of mechanics to analyze the mechanical behaviour of the biological systems, • develop solutions to analyze the motion of the biomechanical systems by using relevant concepts in calculus and laws of physics, • simulate and analyze various biomechanical models based on the analogies between the mechanical elements and human body parts. • learn the fundamental concepts of biomechanics and apply those to analyze analyzing the mechanical behavior of various complex biomedical problems • develop skills for analyzing, interpreting and presenting biomechanical models by using computational tools. |
| Course Content | This course contains; Introduction to Biomechanics, Application of Biomechanics, Fundamentals of Biomechanics, Force Vectors,Force System Resultants, Moment of a Force about a Specified Axis, Moment of a Couple, Force Types, Pressure, Equilibrium of a Particle, The Free Body Diagram, Statics: Newton’s Law, Equilibrium Equations, Constraints and Reactions, Support Structures,Applications of Statics to Biomechanics,Applications of Statics to Biomechanics,Centroids, Center of Mass, Distributed Loads, Moment of Inertia, Friction, Application to Biomechanics,Internal Forces and Moments: Axial Force, Shear Force, Bending, Torsion Moment, Stress and Strain, Uniaxial Tension Test, Load-Elongation Diagram, Multiaxial Deformations and Stress Analyses, Mohr Circle, Application to Biomechanics,Linear Kinematics: Linear Motion, Curvilinear Motion, Biaxial Motion, Application to Biomechanics,Linear Kinetics: Newton’s Second Law of Motion, The Equation of Motion: 1-Normal and Tangential Coordinates, 2-Cylindrical Coordinates, Central Force Motion, Application to Biomechanics,Linear Kinetics: Work, Energy and Power, Potential, Kinetic and Elastic Energy, Conservation of Energy, Application to Biomechanics,Angular Kinematics: Polar Coordinates, Angular Position, Angular Velocity, Angular Acceleration, Rotational Motion, Relationships Between Linear and Angular Quantities, Relative Motion, Linkage Systems, Application to Biomechanics,Impulse and Momentum: Linear Impulse and Momentum, Conservation of Linear Momentum, Angular Momentum, Angular Momentum of a Human Body,Three Dimensional Kinematics of a Rigid Body,Three Dimensional Kinetics of a Rigid Body,Applications of Kinetics and Kinematics to Biomechanics. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| After taking this course, students will be able to : 1. Analyze a biomechanical problem under static conditions 1.1. Express the system in free body diagram and solve rigid-body equilibrium problems using the equations of equilibrium. 1.2. Use principles of mechanics to analyze biomechanical systems, such as human musculoskeletal system. | 10, 16, 6 | A, E, G |
| 2. Determine the internal loading in a body at a specific point 2.1. Obtain the internal shear force and bending moment and express them in the shear-moment diagrams. 2.2. Analyze the forces of the body resisting against various types of loadings. | 10, 16, 6 | A, E, G, H |
| 3. Recognize the concepts of position, velocity, and acceleration, and analyze how movements are produced. 3.1. Investigate motion of a body along a straight line or a curved path using different coordinate systems. 3.2. Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinematics. | 10, 16, 6 | A, E, G |
| 4. Analyze the accelerated motion of a body using the equation of motion defined in different coordinate systems. 4.1. Solve kinetic problems using the conservation of energy. 4.2. Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinetics. | 10, 16, 9 | A, E, F, G |
| 5. Apply the principles of linear and angular momentum to solve rigid-body planar kinetic problems. | 10, 16, 6, 9 | A, E, G |
| 6. Identify the analogies between the mechanical elements and the human body parts, and analyze various biomechanical models based on these physical similarities. | 10, 16, 6, 9 | A, E, G |
| 7. Analyze and simulate a biomechanical model 7.1. Identify, formulate, and solve a defined engineering problem using their technical skills, such as MATLAB/Simulink, C++, CAD tools. 7.2. Take part in a product-oriented study 7.3. Work in a team and communicate effectively in Turkish and English by oral, written, graphical and technological means. 7.4. Develop interdisciplinary approaches in theory and practice. | 10, 16, 6, 9 | A, E, G |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 6: Experiential Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework, F: Project Task, G: Quiz, H: Performance Task |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to Biomechanics, Application of Biomechanics, Fundamentals of Biomechanics, Force Vectors | PPT presentations |
| 2 | Force System Resultants, Moment of a Force about a Specified Axis, Moment of a Couple, Force Types, Pressure, Equilibrium of a Particle, The Free Body Diagram, Statics: Newton’s Law, Equilibrium Equations, Constraints and Reactions, Support Structures | PPT presentations |
| 3 | Applications of Statics to Biomechanics | PPT presentations |
| 4 | Applications of Statics to Biomechanics | PPT presentations |
| 5 | Centroids, Center of Mass, Distributed Loads, Moment of Inertia, Friction, Application to Biomechanics | PPT presentations |
| 6 | Internal Forces and Moments: Axial Force, Shear Force, Bending, Torsion Moment, Stress and Strain, Uniaxial Tension Test, Load-Elongation Diagram, Multiaxial Deformations and Stress Analyses, Mohr Circle, Application to Biomechanics | PPT presentations |
| 7 | Linear Kinematics: Linear Motion, Curvilinear Motion, Biaxial Motion, Application to Biomechanics | PPT presentations |
| 8 | Linear Kinetics: Newton’s Second Law of Motion, The Equation of Motion: 1-Normal and Tangential Coordinates, 2-Cylindrical Coordinates, Central Force Motion, Application to Biomechanics | PPT presentations |
| 9 | Linear Kinetics: Work, Energy and Power, Potential, Kinetic and Elastic Energy, Conservation of Energy, Application to Biomechanics | PPT presentations |
| 10 | Angular Kinematics: Polar Coordinates, Angular Position, Angular Velocity, Angular Acceleration, Rotational Motion, Relationships Between Linear and Angular Quantities, Relative Motion, Linkage Systems, Application to Biomechanics | PPT presentations |
| 11 | Impulse and Momentum: Linear Impulse and Momentum, Conservation of Linear Momentum, Angular Momentum, Angular Momentum of a Human Body | PPT presentations |
| 12 | Three Dimensional Kinematics of a Rigid Body | PPT presentations |
| 13 | Three Dimensional Kinetics of a Rigid Body | PPT presentations |
| 14 | Applications of Kinetics and Kinematics to Biomechanics | PPT presentations |
| Resources |
| 1. Russell C. Hibbeler: Engineering Mechanics: Statics & Dynamics (14th Edition), Prentice Hall, 2016, ISBN-9780133915457. 2. Peter M. McGinniss: Biomechanics of Sport and Exercise (3th Edition), Human Kinetics, Champaign, 2013, ISBN-13: 9780736089104. 3. N. Özkaya, D. Leger, D. Goldsheyder, M. Nordin: Fundamentals of Biomechanics: Equilibrium, Motion, and Deformation (4th Edition), Springer, 2016, ISBN-9783319447384. |
| 1. J. Hamill, K. Knutzen, T. Derrick: Biomechanical Basis of Human Movement (4th Edition), Lippincott, Williams and Wilkins, 2014, ISBN-13:9781451177305. 2. John McLester, Peter St. Pierre: Applied Biomechanics: Concepts and Connections (1st Edition), 2008, ISBN-13: 9780495105862. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Develop and deepen knowledge in the same or in a different field to the proficiency level based on Bachelor level qualifications. | ||||||
| 2 | Conceive the interdisciplinary interaction which the field is related with. | ||||||
| 3 | Use of theoretical and practical knowledge within the field at a proficiency level and solve the problem faced related to the field by using research methods. | ||||||
| 4 | Interpret the knowledge about the field by integrating the information gathered from different disciplines and formulate new knowledge. | ||||||
| 5 | Independently conduct studies that require proficiency in the field. | ||||||
| 6 | Take responsibility and develop new strategic solutions as a team member in order to solve unexpected complex problems faced within the applications in the field. | ||||||
| 7 | Evaluate knowledge and skills acquired at proficiency level in the field with a critical approach and direct the learning. | ||||||
| 8 | Investigate, improve social connections and their conducting norms with a critical view and act to change them when necessary. Communicate with peers by using a foreign language at least at a level of European Language Portfolio B2 General Level. | ||||||
| 9 | Define the social and environmental aspects of engineering applications. | ||||||
| 10 | Audit the data gathering, interpretation, implementation and announcement stages by taking into consideration the cultural, scientific, and ethic values and teach these values. | ||||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 50 | |
| Rate of Final Exam to Success | 50 | |
| Total | 100 | |