Course

Unit 1

Principles of statics: Introduction to vector approach – free body diagrams –forces in plane – forces in space – concurrent forces – resolution of forces –equilibrium of particle.

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

Unit 2

Applications of statics: Friction – contact friction problems. Analysis of trusses –method of joints – method of sections.

Properties of surfaces and solids – Centroid, Moment of inertia, Polar moment of inertia, Mass moment of inertia, Product of inertia and Principal moment of inertia.

Unit 3

Dynamics: Rectangular and cylindrical coordinate system – Combined motion of rotation and translation – Newton’s second law in rectilinear translation – D’Alembert’s principle – Concepts of Mechanical vibration – free and forced vibrations, resonance and its effects; Degree of freedom; Frequency and amplitude of free vibrations without damping and single degree of freedom system, examples, Validation of theory using SkyCiv software.

Course Objectives

To understand the procedure for analysis of static objects; concepts of force, moment, and mechanical equilibrium. To analyze forces and moments in two and three dimensions due to concentrated and distributed forces in various systems such as beams, frames and trusses.

To analyze the bodies in motion using the basics of kinetics and kinematics.

Course Outcome

CO1: Able to analyze force systems in plane and also in space

CO2: Able to solve two- and three-dimensional rigid body static equilibrium problems.

CO3: Able to determine the centroid of planes, center of gravity of masses and evaluate their moment of inertia.

CO4: Able to evaluate velocity and acceleration of a particle in rectangular and cylindrical coordinate systems and angular velocity of rigid bodies that are in plane motion.

CO5: Able to solve the problems related to bodies in dynamic equilibrium and bodies undergoing forced and free vibration using the laws of kinetics.

CO-PO Mapping

Text Book(s)

S. Timoshenko , D.H. Young , J.V. Rao , Sukumar Pati, “Engineering Mechanics” (In SI Units) (SIE) | 5th Edition , 2017

Beer, F. P. and Johnston, E. R., “Vector Mechanics for Engineers- Statics and Dynamics”, 8/e, McGraw Hill International Book Co., 2008.

Shames, I. H, “Engineering Mechanics – Statics and Dynamics”, 4/e, Prentice–Hall of India Pvt. Ltd., 2003.

Reference Books

Hibbeler, R. C., “Engineering Mechanics’, 12/e, Pearson Education Pvt. Ltd., 2007. Meriam, J. L., “Dynamics”, 5/e, John Wiley & sons, 2003.

2003. L. Kumar, “Engineering Mechanics”, 3/e, Tata McGraw Hill, 2003.