|Engineering Mechanics||Learning Schedule|
|Pre-requisites: Engg. Physics & Mathematics||3||0||0||3|
Engineering Mechanics course is to expose students to problems in mechanics as applied to real-world scenarios. In this subject students learn the how to apply laws of mechanics to actual engineering problems. By this subject students develop analytical skill of splitting the larger practical problems into a number of small problems like make free body diagrams and solve them easily.
- To calculate the reactive forces and analyze the structures.
- To know the geometric properties of the different shapes.
- To learn energy and momentum methods.
At the end of this course, the learner will be:
- Solve the engineering problems in case of equilibrium conditions.
- Calculate the reaction forces of various supports of different structures.
- Solve the problems involving dry friction.
- Determine the centroid, centre of gravity and moment of inertia of various surfaces and solids.
- Calculate the forces acting on the rigid body, structures using the principle of virtual work.
Unit I: Equilibrium of Particle and Rigid body
Introduction to Mechanics – Fundamental Principles – Coplanar forces – Equilibrium of particles – Free body diagram – Equilibrium of particle in space – Single equivalent force – – Equilibrium of rigid bodies in two dimensions. Analysis of plane trusses –Method of joints – Method of sections – Zero-force member.
Unit II: Friction and Virtual work
Characteristics of dry friction – Problems involving dry friction – Ladder – Wedges – Square threaded screws. Definition of virtual work – Principle of virtual work – System of connected rigid bodies – Degrees of freedom – Conservative forces – Potential energy – Potential energy criteria for equilibrium.
Unit III: Properties of Surfaces and Solids
Centroid – First moment of area – Theorems of Pappus and Guldinus – Second moment of area – Moment and Product of inertia of plane areas – Transfer Theorems – Polar moment of inertia – Principal axes – Mass moment of inertia.
Unit IV: Kinematic and Kinetics
Position, Velocity and Acceleration – Rectilinear motion – Curvilinear motion of a particle – Tangential and Normal components –Radial and Transverse components – Rotation of rigid bodies about a fixed axis – General plane motion – Absolute and relative motion method – Instantaneous centre of rotation in plane motion.
Linear momentum – Equation of motion – Angular momentum of a particle and rigid body in plane motion – D’Alembert’s principle.
Unit V: Energy and Momentum Methods
Principle of work and energy for a particle and a rigid body in plane motion – Conservation of energy – Principle of impulse and momentum for a particle and a rigid bodies in plane motion – Conservation of momentum – System of rigid bodies– Impact -direct and central impact – coefficient of restitution.
- J. V. Rao, D. H. Young, S. Timoshenko, Sukumar Pati (2013), Engineering Mechanics, Tata McGraw Hill Education. ISBN: 978-1-259-06266-7
- P. Ferdinand, E. Beer and J. Russell (2010), Vector Mechanics for Engineers, 9th Edition, McGraw-Hill International Edition. ISBN: 978-0-079-12637-5
- Irving H. Shames (2012), Engineering Mechanics – Statics and Dynamics, 4th Edition, Prentice-Hall of India Private limited. ISBN: 978-8-131-72883-3