R09 - ENGINEERING MECHANICS

I Year B.Tech.

UNIT – I

Introduction to Engineering. Mechanics – Basic Concepts.
Systems of Forces : Coplanar Concurrent Forces – Components in Space – Resultant – Moment of Force
and its Application – Couples and Resultant of Force Systems.

UNIT – II
Equilibrium of Systems of Forces : Free Body Diagrams, Equations of Equilibrium of Coplanar Systems,
Spatial Systems for concurrent forces. Lamis Theorem, Graphical method for the equilibrium of coplanar
forces, Converse of the law of Triangle of forces, converse of the law of polygon of forces condition of
equilibrium.

UNIT – III
Centroid : Centroids of simple figures (from basic principles ) – Centroids of Composite Figures
Centre of Gravity : Centre of gravity of simple body (from basis principles), centre of gravity of composite
bodies, pappus theorem.

UNIT – IV
Area moment of Inertia : Definition – Polar Moment of Inertia, Transfer Theorem, Moments of Inertia of
Composite Figures, Products of Inertia, Transfer Formula for Product of Inertia.
Mass Moment of Inertia : Moment of Inertia of Masses, Transfer Formula for Mass Moments of Inertia,
mass moment of inertia of composite bodies.

UNIT – V
Analysis of perfect frames ( Analytical Method) – Types of Frames – Assumptions for forces in members of a
perfect frame, Method of joints, Method of sections, Force table, Cantilever Trusses, Structures with one end
hinged and the other freely supported on rollers carrying horizontal or inclined loads.

UNIT – VI
Kinematics : Rectilinear and Curvilinear motions – Velocity and Acceleration – Motion of Rigid Body –
Types and their Analysis in Planar Motion.
Kinetics : Analysis as a Particle and Analysis as a Rigid Body in Translation – Central Force Motion –
Equations of Plane Motion – Fixed Axis Rotation – Rolling Bodies.

UNIT – VII
Work – Energy Method : Equations for Translation, Work-Energy Applications to Particle Motion,
Connected System-Fixed Axis Rotation and Plane Motion. Impulse momentum method.

UNIT – VIII
Principle of virtual work: Equilibrium of ideal systems, efficiency of simple machines, stable and unstable
Equilibriums

TEXT BOOKS :
1. Engineering. Mechanics / Timoshenko & Young.
2. Engineering. Mechanics / S.S. Bhavikatti & J.G. Rajasekharappa

REFERENCES :
1. Engineering Mechanics / Fedinand . L. Singer / Harper – Collins.
2. Engineering. Mechanics / Irving. H. Shames Prentice – Hall.
3. Engineering. Mechanics Umesh Regl / Tayal.
4. Engineering. Mechanics / R.V. Kulkarni & R.D. Askhevkar
5. Engineering. Mechanics/Khurmi/S.Chand.
6. Engineering. Mechanics / KL Kumar / Tata McGraw Hill.