2K6EN104: ENGINEERING MECHANICS

Module I (15 hours)
Principles of statics – Free body diagrams – Coplanar forces and Force systems – Resultant and equilibrium conditions for concurrent, parallel and general system of forces – Solution of problems by scalar approach. Introduction to vector approach (Application to simple problems only) – Concurrent forces in space – Resultant – Equilibrium of a particle in space – Non – concurrent forces in space – Resultant of force systems.
Module II (17 hours)
Friction – Laws of friction – Simple contact friction problems – Wedge. Properties of surfaces – First moment and centroid of curve and area – Centroid of composite plane figures – Theorems of Pappus – guldinus – Second moments of plane figures and composite sections – Transfer theorems – Polar momentof area – Product of inertia and Principal axes. Moment of inertia of a rigid body – M. I of a lamina – M. I of 3 dimensional bodies (cylinder, circular rod, sphere).
Module III (17 hours)
Introduction to structural mechanics – Different types of supports, loads and beams – Reactions at supports. Shear force and Bending moment in beams – Shear force and bending moment diagrams for cantilever and simply supported beams (only for concentrated and uniformly distributed load cases). Plane trusses – Types of trusses (Perfect, Deficient and Redundant trusses) – Analysis of trusses – Method of joints – Method of sections.
Module IV (17 hours)
Kinetics of rectilinear motion – Newton’s second law– D’Alembert’s principle – Motion on horizontal and inclined surfaces – Analysis of lift motion – Motion of connected bodies. Curvilinear motion – Equation of motion – Tangential and normal acceleration – Centripetal and centrifugal forces – Motion of vehicles on circular path. Work, Power and Energy – Work done by a force – Work of the force of gravity and force of spring – Work – energy equation – Transformation and conservation of energy – Applications to problems. Kinematics of rotation – Rigid body rotation about a fixed axis – Rotation under the action of constant moment. Introduction to mechanical vibrations – Simple harmonic motion – free vibration – Oscillation of spring – Torsional vibration

Text Books

1. Timoshenko and Young, “Engineering Mechanics”, McGraw Hill Publishers
2. Hibbeler, Engineering Mechanics, Vol. I statics, Vol II Dynamics, Pearson
   Reference Books
3. Beer, F. P. and Johnson, E. R. , “Mechanics for Engineers – Statics and Dynamics”, McGraw Hill Publishers.
4. Shames, I. H. , “Engineering Mechanics – Statics and Dynamics”, Prentice Hall of India.
5. Merriam J. L and Kraige L. G. , Engineering Mechanics – Vols. 1 and 2, John Wiley.