mca Syllabus

Sl.
No.

Syllabus

Contact
Hrs.

Reference Books & Chapters and
Problems for practice

Importance of Mechanics in engineering; Introduction to Statics; Concept of Particle and Rigid Body; Types of forces: collinear, concurrent, parallel, concentrated, distributed; Vector and scalar quantities; Force is a vector; Transmissibility of a force (sliding vector).

2L

Meriam & Kraig: Vol-I
Chapt: 1/1, 2/2,1/3

Introduction to Vector Algebra; Parallelogram law; Addition and subtraction of vectors; Lami’s theorem; Free vector; Bound vector;
Representation of forces in terms of i,j,k; Cross product and Dot product and their applications.

4L+1T

1. Meriam & Kraig: Vol-I
Chapt: 1/3, 2/4, 2/7
2. I.H. Shames
Chapt: 2.1 to 2.8
Probs: 2.1, 2.2, 2.3,2.6, 2.10, 2.48,
2.52, 2.54, 2.64, 2.68

Two dimensional force system; Resolution of forces; Moment; Varignon’s theorem; Couple; Resolution of a coplanar force by its equivalent force-couple system; Resultant of forces.

4L+2T

1. Meriam & Kraig: Vol-I
Chapt: 2/3, 2/4, 2/5, 2/6, 2/9
Probs: 2/1 to 2/8; 2/13, 2/16, 2/20;
2/27, 2/31 to 2/33, 2/35, 2/37, 2/39;
2/53, 2/55, 2/57, 2/61, 2/66; 2/75,
2/77, 2/79, 2/78 to 2/82; 2/135 to
2/137, 2/139, 2/141, 2/146,
2/147,2/151, 2/157

Mo
d-
II

Concept and Equilibrium of forces in two
dimensions; Free body concept and diagram; Equations of equilibrium.

3L+1T

Meriam & Kraig: Vol-I
Chapt: 3/2, 3/3
Probs: 3/1, 3/3, 3/4 to 3/7, 3/11, 3/13,
3/15, 3/21, 3/25, 3/27, 3/31,3/39

Concept of Friction; Laws of Coulomb friction; Angle of Repose; Coefficient of friction.

3L+1T

Meriam & Kraig: Vol-I
Chapt: 6/1, 6/2, 6/3
Probs: 6/1 to 6/6, 6/13, 6/15, 6/17;
2. I.H. Shames;
Chapt: 7.1,7.2

Mo
d-
III.

Distributed Force: Centroid and Centre of
Gravity; Centroids of a triangle, circular sector, quadralateral, composite areas consisting of above figures.

4L+1T

1. Meriam & Kraig: Vol-I
Chapt: 5/1, 5/2, 5/3
Sample probs: 5/1 to 5/5
Probs: 5/2, 5/5, 5/7, 5/9, 5/12, 5/20,
5/25, 5/30, 5/43,5/47

Moments of inertia: MI of plane figure with
respect to an axis in its plane, MI of plane
figure with respect to an axis perpendicular to the plane of the figure; Parallel axis theorem; Mass moment of inertia of symmetrical bodies, e.g. cylinder, sphere, cone.

3L+1T

1. Meriam & Kraig: Vol-I
Chapt: Appendix A/1, A/2
Sample Probs: A/1 to A/5;
Probs: A/1, A/5, A/9, A/15, A/20

Concept of simple stresses and strains: Normal stress, Shear stress, Bearing stress, Normal strain, Shearing strain; Hooke’s law; Poisson’s ratio; Stress-strain diagram of ductile and brittle materials; Elastic limit; Ultimate stress; Yielding; Modulus of elasticity; Factor of safety.

2L+1T

1.Elements of strength of Materials by
Timoshenko & Young
Chapt: 1.1,1.2,1.3, 2.2
Prob set 1.2 : Prob: 3,4,5,8,9,10
Prob set 1.3: Prob: 1,3,5,7
2. Nag & Chanda -3rd Part
Chapt: 1.1, 1.2.1 to 1.2.3, 1.2.6, 1.2.7

Mo
d-
IV

Introduction to Dynamics: Kinematics and
Kinetics; Newton’s laws of motion; Law of
gravitation & acceleration due to gravity;
Rectilinear motion of particles; determination of position, velocity and acceleration under uniform and non-uniformly accelerated rectilinear motion; construction of x-t, v-t and a-t graphs.

3L+1T

Meriam & Kriag: Vol-II
Chapt: 1/3, 1/5,1/7, 2/1,2/2
Probs: 1/1 to 1/10; 2/1 to 2/14; 2/15,
2/17, 2/19, 2/25, 2/27;

Plane curvilinear motion of particles:
Rectangular components (Projectile motion); Normal and tangential components (circular motion).

3L+1T

Meriam & Kraig: Vol-II
Chapt: 2/3, 2/4, 2/5,
Probs: 2/59 to 2/65, 2/67, 2/71, 2/81,
2/84, 2/89; 2/97, 2/99 to 2/103;

Mo
d-
V.

Kinetics of particles: Newton’s second law;
Equation of motion; D.Alembert’s principle
and free body diagram; Principle of work and energy ; Principle of conservation of energy; Power and efficiency.

5L+2T

Meriam & Kraig: Vol-II
Chapt: 3/2, 3/3, 3/4,3/6, 3/7;
Probs: 3/1, 3/3, 3/4,3/7, 3/11, 3/12;
3/17, 3/19, 3/23; 3/103 to 3/107,
3/113, 3/115, 3/116;
Sample probs: 3/16, 3/17;
Probs: 3/143,3/145, 3/158