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You are here:Open notes-->Anna-University-->ME2151-ENGINEERING-MECHANICS

**ME2151 ENGINEERING MECHANICS**

# How to study this subject

**OBJECTIVE**

At the end of this course the student should be able to understand the vectorial and scalar

representation of forces and moments, static equilibrium of particles and rigid bodies both in two

dimensions and also in three dimensions. Further, he should understand the principle of work

and energy. He should be able to comprehend the effect of friction on equilibrium. He should be

able to understand the laws of motion, the kinematics of motion and the interrelationship. He

should also be able to write the dynamic equilibrium equation. All these should be achieved both

conceptually and through solved examples.

**UNIT I BASICS & STATICS OF PARTICLES 12**

Introduction – Units and Dimensions – Laws of Mechanics – Lame’s theorem, Parallelogram

and triangular Law of forces – Vectors – Vectorial representation of forces and moments –

Vector operations: additions, subtraction, dot product, cross product – Coplanar Forces –

Resolution and Composition of forces – Equilibrium of a particle – Forces in space – Equilibrium

of a particle in space – Equivalent systems of forces – Principle of transmissibility – Single

equivalent force.

**UNIT II EQUILIBRIUM OF RIGID BODIES 12**

Free body diagram – Types of supports and their reactions – requirements of stable equilibrium

– Moments and Couples – Moment of a force about a point and about an axis – Vectorial

representation of moments and couples – Scalar components of a moment – Varignon’s

theorem – Equilibrium of Rigid bodies in two dimensions – Equilibrium of Rigid bodies in three

dimensions – Examples

**UNIT III PROPERTIES OF SURFACES AND SOLIDS 12**

Determination of Areas and Volumes – First moment of area and the Centroid of sections –

Rectangle, circle, triangle from integration – T section, I section, - Angle section, Hollow section

by using standard formula – second and product moments of plane area – Rectangle, triangle,

circle from integration – T section, I section, Angle section, Hollow section by using standard

formula – Parallel axis theorem and perpendicular axis theorem – Polar moment of inertia –

Principal moments of inertia of plane areas – Principal axes of inertia – Mass moment of inertia

– Derivation of mass moment of inertia for rectangular section, prism, sphere from first principle

– Relation to area moments of inertia.

**UNIT IV DYNAMICS OF PARTICLES 12**

Displacements, Velocity and acceleration, their relationship – Relative motion – Curvilinear

motion – Newton’s law – Work Energy Equation of particles – Impulse and Momentum – Impact

of elastic bodies.

**UNIT V FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS 12**

Frictional force – Laws of Coloumb friction – simple contact friction – Rolling resistance – Belt

friction.

Translation and Rotation of Rigid Bodies – Velocity and acceleration – General Plane motion.

TOTAL: 60 PERIODS 13

**TEXT BOOK:**

1. Beer, F.P and Johnson Jr. E.R. “Vector Mechanics for Engineers”, Vol. 1 Statics and Vol. 2

Dynamics, McGraw-Hill International Edition, (1997).

**REFERENCES:**

1. Rajasekaran, S, Sankarasubramanian, G., “Fundamentals of Engineering Mechanics”, Vikas

Publishing House Pvt. Ltd., (2000).

2. Hibbeller, R.C., “Engineering Mechanics”, Vol. 1 Statics, Vol. 2 Dynamics, Pearson

Education Asia Pvt. Ltd., (2000).

3. Palanichamy, M.S., Nagam, S., “Engineering Mechanics – Statics & Dynamics”, Tata

McGraw-Hill, (2001).

4. Irving H. Shames, “Engineering Mechanics – Statics and Dynamics”, IV Edition – Pearson

Education Asia Pvt. Ltd., (2003).

5. Ashok Gupta, “Interactive Engineering Mechanics – Statics – A Virtual Tutor (CDROM)”,

Pearson Education Asia Pvt., Ltd., (2002).

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