**Syllabus of Engineering Mechanics (NME-102/202)**

Unit 1

Force Systems:

Basic concepts: Definitions, Basic assumptions, Scalar & Vector

quantities, Free, Forced and fixed vectors.

Force System: Force, Classification & Representation, Force as a

Vector, Composition of forces, Parallelogram Law, Resolution,

Principle of Transmissibility of forces

Moment of a force, Vector representation, Moment for coplanar

force system, Varignon’s theorem

Couple, Vector representation, Resolution of a force into a force

and a couple.

Force Systems: Coplanar Concurrent Force system and Coplanar

Non Concurrent force systems, Resultant of coplanar force system.

Equilibrium of coplanar force system, Free body diagrams,

Determination of reactions, Equilibrium of a body under three

forces, Lami’s theorem.

Friction:

Introduction, Wet and Dry friction, Theory of Dry friction, Angle

of friction, Angle of Repose, Cone of friction, Coulomb’s laws of

friction.

Unit 2

Basic Structural Analysis:

Plane Truss, Difference between truss and frame, Perfect and

imperfect truss, Assumptions and Analysis of Plane Truss , Method

of joints, Method of section, Zero force members.

Beams, Types of beams, Statically Determinate Beams, Shear force

and bending moment in beams, Shear force and bending moment

diagrams, Relationships between load, shear and bending moment.

Unit 3

Centroid and Moment of Inertia:

Center of Gravity, Center of Mass and Centroid of curves, areas,

volumes, Determination of centroid by integration, Centroid of

composite bodies.

Definition of Moment of inertia of area, Perpendicular axis theorem

and Polar moment of Inertia, Parallel axis theorem, Moment of

inertia of simple areas by integration, Moment of Inertia of

Composite Areas.

Moment of Inertia of masses, Parallel axis theorem for mass

moment of inertia, Mass moment of inertia of simple bodies by

integration, Mass moment of inertia of composite bodies.

Unit 4

Kinematics of Rigid Body:

Introduction, Absolute motion, Plane rectilinear motion of rigid

body, Plane curvilinear Motion of rigid body, x-y and n-t

components, Rotation of rigid bodies, Relative Motion, Plane

Motion of rigid bodies, Instantaneous center of zero velocity

Kinetics of Rigid Body:

Introduction, Force, Mass and Acceleration, Newton’s law of motion, D’Alembert’s Principles and Dynamic Equilibrium, Laws

of motion applied to planar translation, rotation and plane motion.

Work and Energy, Kinetic energy, Principle of work and energy,

Conservative forces, Law of conservation of energy,

Linear Impulse and Momentum, Conservation of linear momentum.

Unit 5

Mechanics of Deformable Solids:

Simple stress and strain: Normal and shear stresses. One

Dimensional Loading; members of varying cross section, bars in

series. Tensile Test diagram for ductile and brittle materials, Elastic

constants, Strain energy.

Bending of Beams: theory of pure bending, neutral surface and

neutral axis, stresses in beams of different cross sections.

Theory of Torsion, Torque and twist, Shear stress due to torsion

circular sections.

**References:**

1. “Engineering Mechanics: Statics” , J.L Meriam , Wiley

2. “Engineering Mechanics: Dynamics” , J.L Meriam , Wiley

3. “Engineering Mechanics ” , F L Singer

4. “Engineering Mechanics : Statics and Dynamics”, R. C. Hibbler, Pearson

5. “Engineering Mechanics ” , Thimoshenko & Young , 4ed, Tata McGraw Hill

6. “Engineering Mechanics: Statics and Dynamics”, A. Nelason, McGraw-Hill

7. “Engineering Mechanics : Statics and Dynamics”, Shames and Rao, Pearson

8. “Engineering Mechanics : Statics and Dynamics”, S. Rajasekaran and G.

Sankarasubramanian, Vikas

9. “Engineering Mechanics”, V. Jayakumar and M. Kumar, PHI

10. “Engineering Mechanics”, D. P. Sharma, PHI

11. “Engineering Mechanics”, M. V. Sheshagiri Rao, and D. Rama Durgaiah, University Press.

12. “Engineering Mechanics” , K L Kumar and V. Kumar, McGraw Hill

13. “Engineering Mechanics” , Bhattacharya , Oxford Press

14. “Engineering Mechanics ” , Dr Sadhu Singh , Umesh Publications

15. “Engineering Mechanics ” , Bhavikatti , New Age

16. “Strength of Materials” F. L.Singer

17. “Strength of Materials” Thimoshenko & Young

18. “Mechanics of Solids”, R. C. Hibbler, Pearson

19. “Mechanics of Solids”, A. Mubeen, Pearson

motion, D’Alembert’s Principles and Dynamic Equilibrium, Laws

of motion applied to planar translation, rotation and plane motion.

Work and Energy, Kinetic energy, Principle of work and energy,

Conservative forces, Law of conservation of energy,

Linear Impulse and Momentum, Conservation of linear momentum.

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