__ME3351 __

__ENGINEERING MECHANICS__

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**COURSE OBJECTIVES:**

1.
To Learn the use scalar and vector analytical techniques for analysing forces
in statically determinate structures

2.
To introduce the equilibrium of rigid bodies, vector methods and free body
diagram

3.
To study and understand the distributed forces, surface, loading on beam and
intensity.

4.
To learn the principles of friction, forces and to determine the apply the
concepts of frictional forces at the contact surfaces of various engineering
systems.

5.
To develop basic dynamics concepts – force, momentum, work and energy;

**UNIT - I **

**STATICS OF PARTICLES**

Fundamental
Concepts and Principles, Systems of Units, Method of Problem Solutions, Statics
of Particles - Forces in a Plane, Resultant of Forces, Resolution of a Force
into Components, Rectangular Components of a Force, Unit Vectors. Equilibrium
of a Particle- Newton’s First Law of Motion, Space and Free-Body Diagrams,
Forces in Space, Equilibrium of a Particle in Space.

**UNIT - II **

**EQUILIBRIUM OF RIGID BODIES**

Principle
of Transmissibility, Equivalent Forces, Vector Product of Two Vectors, Moment
of a Force about a Point, Varignon’s Theorem, Rectangular Components of the
Moment of a Force, Scalar Product of Two Vectors, Mixed Triple Product of Three
Vectors, Moment of a Force about an Axis, Couple - Moment of a Couple,
Equivalent Couples, Addition of Couples, Resolution of a Given Force into a
Force -Couple system, Further Reduction of a System of Forces, Equilibrium in
Two and Three Dimensions - Reactions at Supports and Connections.

**UNIT - III **

**DISTRIBUTED FORCES**

Centroids
of lines and areas – symmetrical and unsymmetrical shapes, Determination of
Centroids by Integration, Theorems of Pappus-Guldinus, Distributed Loads on
Beams, Centre of Gravity of a ThreeDimensional Body, Centroid of a Volume,
Composite Bodies, Determination of Centroids of Volumes by Integration. Moments
of Inertia of Areas and Mass - Determination of the Moment of Inertia of an Area
by Integration, Polar Moment of Inertia, Radius of Gyration of an Area,
Parallel-Axis Theorem, Moments of Inertia of Composite Areas, Moments of
Inertia of a Mass - Moments of Inertia of Thin Plates, Determination of the
Moment of Inertia of a Three-Dimensional Body by Integration.

**UNIT - IV **

**FRICTION**

The
Laws of Dry Friction, Coefficients of Friction, Angles of Friction, Wedge
friction, Wheel Friction, Rolling Resistance, Ladder friction.

**UNIT - V **

**DYNAMICS OF PARTICLES**

Kinematics
- Rectilinear Motion and Curvilinear Motion of Particles. Kinetics- Newton’s
Second Law of Motion -Equations of Motions, Dynamic Equilibrium, Energy and
Momentum Methods - Work of a Force, Kinetic Energy of a Particle, Principle of
Work and Energy, Principle of Impulse and Momentum, Impact of bodies.

**TOTAL:
45 PERIODS**

** **

**OUTCOMES:**

At
the end of the course the students would be able to

1.
● Illustrate the vector and scalar representation of forces and moments

2.
● Analyse the rigid body in equilibrium

3.
● Evaluate the properties of distributed forces

4.
● Determine the friction and the effects by the laws of friction

5.
● Calculate dynamic forces exerted in rigid body

**TEXT BOOKS:**

1.Beer
Ferdinand P, Russel Johnston Jr., David F Mazurek, Philip J Cornwell, Sanjeev
Sanghi, Vector Mechanics for Engineers: Statics and Dynamics, McGraw Higher
Education., 12thEdition, 2019.

2.
Vela Murali, “Engineering Mechanics-Statics and Dynamics”, Oxford University
Press, 2018.

**REFERENCES:**

1.
Boresi P and Schmidt J, Engineering Mechanics: Statics and Dynamics, 1/e,
Cengage learning, 2008.

2.
Hibbeller, R.C., Engineering Mechanics: Statics, and Engineering Mechanics:
Dynamics, 13th edition, Prentice Hall, 2013.

3.
Irving H. Shames, Krishna Mohana Rao G, Engineering Mechanics – Statics and
Dynamics, 4thEdition, Pearson Education Asia Pvt. Ltd., 2005.

4.
Meriam J L and Kraige L G, Engineering Mechanics: Statics and Engineering
Mechanics: Dynamics, 7^{th} edition, Wiley student edition, 2013.

5.
Timoshenko S, Young D H, Rao J V and SukumarPati, Engineering Mechanics,
5thEdition, McGraw Hill Higher Education, 2013.