Unit 1

Principles of statics: Introduction to vector approach – free body diagrams- forces in a plane – forces in space – concurrent forces – resolution of forces – equilibrium of particles

Statics of rigid bodies in two and three dimensions: Moment of force about a point – moment of force about an axis – moment of a couple – equivalent force couple system – rigid body equilibrium – support reactions.

Unit 2

Application of statics: Friction – ladder friction – wedge friction – analysis of trusses – method of joints and method of sections.

Centroid and center of gravity: centroid of lines, areas and volumes – composite bodies. Second moment of area – polar moment of inertia – mass moment of inertia – radius of gyration.

Method of virtual work for static equilibrium problems.

Unit 3

Dynamics of particles: kinematics of particles – rectilinear motion – relative motion – relative motion – position, velocity and acceleration calculation in cylindrical coordinates.

Dynamics of rigid bodies: General plane motion – translation and rotation of rigid bodies – Chasle’s theorem – velocity and acceleration calculation in moving frames – Corioil’s acceleration.

Objectives

This course is expected to enable the student to:

• Understand the force systems and draw free body diagram to analyze rigid body equilibrium
• Comprehend the principles of Coloum b friction and solve engineering mechanics problems associated with frictional force
• Compute the centroid, first moment and second moment of an area
• Understand the concept of motion of particles and rigid bodies.

Course Outcomes

At the end of the course, the student will be able to

TEXTBOOKS:

1. Beer,F.P. &Johnston,E.R., “Vector Mechanics for Engineers-Statics and Dynamics”, 11/e, McGraw Hill International Book Co., 2017

REFERENCES:

1. Hibbeler, R.C., “Engineering Mechanics- Statics and Dynamics”, 14/e, Pearson Education Ltd., 2017
2. J.L. Meriam and G. Kraige, “Engineering Mechanics – Statics”, 7/e, John Wiley & sons, 2013
3. J.L. Meriam and G. Kraige, “Engineering Mechanics – Dynamics”, 7/e, John Wiley & sons, 2013
4. Shames,I.H, “Engineering Mechanics-Statics and Dynamics”, 4/e, Prentice-Hall of India Ltd., 2005