JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives

The objectives of this course are to

• Explain the resolution of a system of forces, compute their resultant and solve problems using equations of equilibrium
• Perform analysis of bodies lying on rough surfaces.
• Locate the centroid of a body and compute the area moment of inertia and mass moment of inertia of standard and composite sections
• Explain kinetics and kinematics of particles, projectiles, curvilinear motion, centroidal motion and plane motion of rigid bodies.
• Explain the concepts of work-energy method and its applications to translation, rotation and plane motion and the concept of vibrations

Course Outcomes

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

• CO 1: Determine resultant of forces acting on a body and analyse equilibrium of a body subjected to a system of forces.
• CO 2: Solve problem of bodies subjected to friction.
• CO 3: Find the location of centroid and calculate moment of inertia of a given section.
• CO 4: Understand the kinetics and kinematics of a body undergoing rectilinear, curvilinear, rotatory motion and rigid body motion.
• CO 5: Solve problems using work energy equations for translation, fixed axis rotation and plane motion and solve problems of vibration.

UNIT - I

Introduction to Engineering Mechanics - Force Systems: Basic concepts, Particle equilibrium in 2-D & 3-D; Rigid Body equilibrium; System of Forces, Coplanar Concurrent Forces, Components in Space – Resultant- Moment of Forces and its Application; Couples and Resultant of Force System, Equilibrium of System of Forces, Free body diagrams, Equations of Equilibrium of Coplanar Systems and Spatial Systems; Static Indeterminacy

UNIT - II

Friction: Types of friction, Limiting friction, Laws of Friction, Static and Dynamic Friction; Motion of Bodies, wedge friction, screw jack & differential screw jack; Centroid and Centre of Gravity -Centroid of Lines, Areas and Volumes from first principle, centroid of composite sections; Centre of Gravity and its implications. – Theorem of Pappus

UNIT - III

Area moment of inertia- Definition, Moment of inertia of plane sections from first principles, Theorems of moment of inertia, Moment of inertia of standard sections and composite sections; Product of Inertia, Parallel Axis Theorem, Perpendicular Axis Theorem Mass Moment of Inertia: Moment of Inertia of Masses - Transfer Formula for Mass Moments of Inertia – Mass moment of inertia of composite bodies.

UNIT - IV

Review of particle dynamics- Rectilinear motion; Plane curvilinear motion (rectangular, path, and polar coordinates). 3-D curvilinear motion; Relative and constrained motion; Newton’s 2nd law (rectangular, path, and polar coordinates). Work-kinetic energy, power, potential energy. Impulse-momentum (linear, angular); Impact (Direct and oblique).

UNIT - V

Kinetics of Rigid Bodies -Basic terms, general principles in dynamics; Types of motion, Instantaneous centre of rotation in plane motion and simple problems; D’ Alembert’s principle and its applications in plane motion and connected bodies; Work Energy principle and its application in plane motion of connected bodies; Kinetics of rigid body rotation

TEXT BOOKS:

• 1. Shames and Rao (2006), Engineering Mechanics, Pearson Education
• 2. Reddy Vijay Kumar K. and J. Suresh Kumar (2010), Singer’s Engineering Mechanics – Statics & Dynamics

REFERENCE BOOKS:

• 1. Beer F.P & Johnston E.R Jr., Vector Mechanics for Engineers – Statics and Dynamics, Mc Graw Hill, 12th Edition.
• 2. Dumir P.C, Sengupta, Srinivas, Engineering Mechanics- Universities Press, 2020.
• 3. Hibbeler R.C, Engineering Mechanics, Pearson, 14th Edition.
• 4. Arshad Noor, Zahid & Goel, Engineering Mechanics, Cambridge University Press, 2018.
• 5. Khurmi R.S, Khurmi N., Engineering Mechanics, S. Chand, 2020.
• 6. Basudeb Bhattacharyya, “Engineering Mechanics”, Oxford University Press