Engineering Mechanics

The Chapter 1 introduces the forces, units and dimensions, laws of mechanics, types of body, principle of transmissibility, Lami’s theorem and triangular laws of forces. In Chapter 2, scalar, vector, decomposition of vector components in three-dimensional space, vector addition, vector subtraction, properties of linear vector additions, linear independence/ dependencies of vectors, dot products of vectors, cross product and triple scalar product are presented. It is followed by a chapter on classification of forces, systems of forces, effects of forces, principles of system of forces and rectangular components of a forces in 2D space as well as in 3D space.

Chapter 4 presents formulas to compute areas of two-dimensional shapes, measurements of areas of irregular shaped figures and formulas to compute volume. In Chapter 5, vector representation of moments and couples in 2D is presented. Chapter 6 presents vector representation of moments and couples in 3D. It is followed by a chapter on free body diagram, which presents types of forces, equilibrium of rigid bodies, stable equilibrium and steps of constructing free body diagram. Chapter 8 presents conditions of equivalent systems of forces and moments, which include single equivalent force and couple for 2D space and single equivalent force and couple for 3D space. In Chapter 9, three force system are presented. It is followed by a chapter on types of supports, beams and loads. Chapter 11 presents location of centroid of plane areas, analytical method to determine centroid of composite area, centroid of an area by integration, centroid of an arc by integration and centroid of volume. In chapter 12, area moment of inertia, moment of inertia of area of curve, mass moment of inertia, product of inertia, principal axes, principal moment of inertia and principal moment of inertia when two-dimensional space is rotated.
Chapter 13 presents displacement, velocity, acceleration, free falling body and relative motion. Chapter 14 is on dependent motion, which presents the principle of dependent motion with several illustrations. Chapter 15 includes newton’s law of motion, pictorial representation of internal and non-inertial frame of reference, motion of a person in bus relative to an observer in the frame of bus and net force acting on a particle P when a man on road and a man lorry looking particle C.
Chapter 16 presents work, energy, work energy equation, power, momentum of a body, work done by a torque, power of a body travelling in circular path due to its torque and collision. Chapter 17 gives a comprehensive presentation on friction, which includes sliding friction, rolling friction and ladder friction, rolling resistance, sliding/tipping and wedge. The next chapter presents the types of motion of rigid body. At the end a chapter on truss presents assumptions of truss, types of trusses, forms of truss, analysis of truss, zero force member, methods of analyzing truss.

Book Contents:

1. Introduction
2. Vector Algebra
3. Resolution of Forces
4. Mensuration
5. Vector Representation of Moments and Couples In 2d Rigid Bodies
6. Vector Representation of Moments and Couples In 3d Rigid Bodies
7. Free Body Diagrams, Types of Support and Forces
8. Equivalent Systems
9. Three Force System