ME11003 Basic Engineering Mechanics
Course info
Credit: 4 Units (3-1-0).
Instructor: Dr. Md Rushdie Ibne Islam, Email: mrii@naval.iitkgp.ac.in, Office: 214 (Dept. of Ocean Engg. & Naval Architecture).
Class timings:
- Lecture: Monday, 10 AM – 11 AM, and 5 PM – 6 PM; Wednesday, 8 AM – 9 AM; NR113
- Tutorial: Wednesday, 9 AM – 10 AM; NR113
Office hours: Either stop by instructor's office (for quick discussion) or take an email appointment (for longer discussion).
Important note: Please include ME11003 (without space) in the subject line for all email communications related to this course.
Syllabus
- Part I: Vector Mechanics and Force Systems
- Vector mechanics with applications:
- Definition and representation of vectors.
- Projection and decomposition.
- Force vector and types.
- Dot product.
- Resolving force vector along and perpendicular to a given direction.
- Cross product and scalar triple product.
- Moment of force about a point and axis.
- Force couple and couple moment.
- Force system.
- Simple distributed force.
- Parallel and concurrent force systems.
- Equivalent force system and simplest resultant.
- Applications.
- Vector mechanics with applications:
- Part II: Static Equilibrium
- Equilibrium in 2D:
- Free-body diagrams.
- Equations of static equilibrium.
- Two-force members.
- Three-force members.
- Multi-force applications.
- Equilibrium in 3D:
- Free-body diagrams.
- Equations of static equilibrium.
- Two-force members.
- Three-force members.
- Multi-force applications.
- Plane trusses, frames and machines.
- Equilibrium in 2D:
- Part III: Friction and Related Applications
- Coulomb friction.
- Tipping vs sliding.
- Flat belt drives and pulleys.
- Screw-jack.
- Rolling resistance.
- Part IV: Stress, Strain and Basic Elasticity
- Concept of stress:
- Factor of safety.
- Uniaxial loading.
- Normal stress.
- Shear stress.
- Stresses on oblique plane.
- Single and double shear.
- Applications (thin-walled pressure vessels).
- Concept of strain and Generalized Hooke’s Law:
- Poisson’s ratio.
- Relation between E, ν, G and K.
- Indeterminate problems involving uniaxial loading.
- Concept of stress:
References
- Primary
- Ferdinand P. Beer, E. Russell Johnston Jr., et al. Vector Mechanics for Engineers - Statics and Dynamics.
- Additional
- Ferdinand Beer, E. Johnston, et al. Mechanics of Materials
- Ferdinand Beer, E. Johnston, John DeWolf, David Mazurek. Statics and Mechanics of Materials
Grading
- Class tests: 20%
- Mid semester exam: 30%
- End semester exam: 50%
Class tests, Mid and End semester exams
- Four class tests will be conducted; two (class tests #1 and #2) before and another two (class tests #3 and #4) after the mid semester exam. Exact date, time and place will be notified later.
- Mid and End semester exams will be scheduled based on the institute timetable.
Homework
- Homework will be assigned almost every week. These will not be graded. Hence, submission is not necessary.
- A subset of problems from homework will be discussed/solved during tutorial sessions and solutions of the remaining problems will be provided.
- Students are strongly encouraged to try the homework problems before coming to the tutorial sessions.
Attendance
- Students are strongly encouraged to attend all the lecture and tutorial sessions. Attendance will be recorded for each lecture session.