Engineering

Engineering Mechanics

This is a comprehensive book which caters to the needs of Engineering Mechanics course of the undergraduate students of the Biju Pattanaik University of Technology, Odisha and all Indian universities. It thoroughly deals with the basic laws of mechanics combined with the emphasis on the use of the correct free-body diagrams. Standard notations have been used.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-93-81159-13-2
• Chapter 1

System of Forces Price 2.99  |  2.99 Rewards Points

Mechanics is that branch of science which deals with the state of rest or motion of bodies under the action of forces. No one subject plays a greater role in the engineering analysis and application than mechanics. Modern research and advancements in the fields of stability, strength and design of structures and machines, vibration, robotics, rockets, missiles, aeroplane and spacecraft design, automobiles, automatic control, fluid flow, engine performance, electrical machines and apparatus, transmission towers, superstructures, heavy earth moving machines, locomotives, metro railways, super sonic aircrafts; molecular, atomic and subatomic behaviour, etc., are highly dependent on the basic principles of mechanics. A thorough and clear understanding of this subject is an essential requirement for work in these and many other subjects, not mentioned above. It is divided into three parts: Mechanics
• Chapter 2

Coplanar Parallel Force Systems Price 2.99  |  2.99 Rewards Points

The forces which have their lines of action parallel to each other are known as â€˜â€˜Parallel forcesâ€™â€™. If the parallel forces lie in the same plane, they are known â€˜â€˜Coplanar parallel forcesâ€™â€™. If the parallel forces lie in different planes they are known as â€˜â€˜Spatial parallel forcesâ€™â€™. Since the two parallel forces do not intersect therefore their resultant cannot be found
• Chapter 3

Centroids and Moments of Inertia Price 2.99  |  2.99 Rewards Points

We already know that attraction of earth could be represented by a single force W, directed towards the centre of the earth. This force W, called the weight of the body, is to be applied at the centre of gravity of the body. Since the body of weight W consists of several particles and the gravity of earth exerts a force on each of these particles forming the body. Thus, the action of earth on a rigid body can be represented by a large number of small and parallel forces distributed over the entire body. And, all these forces can be replaced by a single force W, passing through a point called the centre of gravity.
• Chapter 4

Friction Price 2.99  |  2.99 Rewards Points

Friction is generally defined as the resistance exerted by one body upon the second body in contact which moves or tends to move relative to the first body. Since friction is resistant to motion, therefore, it is a retarding force always acting opposite to the motion or the tendency to move. Obviously, friction exists primarily because of the roughness of the two surfaces in contact. Friction reduces as the contact surfaces become smoother and smoother. In some applications, friction is an asset while in other situations it is liability. When friction causes loss of power and increases wear, it is undesirable. On the other hand, friction is essential for various holding and fastening devices and also for friction drives and brakes. Friction is also required in providing traction for automobiles. Walking is not possible without friction between shoes and surface of floor or road. Without friction at joints in our bodies, we cannot even stand up. Thus, without friction life in Universe is not possible. Thus there is no development without friction.
• Chapter 5

Trusses Price 2.99  |  2.99 Rewards Points

A truss is a structure composed of members connected together in such a way as to resist change in shape. It is a rigid structure. [The term rigid is used to mean no deformation. Actually, members are subject to deformation which can be neglected if very small compared to the dimensions of the truss.] The purpose of the truss is to support large load or large spans in buildings, industries and bridges.
• Chapter 6

Virtual Work Price 2.99  |  2.99 Rewards Points

Consider a particle P moving along the path under the application of the force F, as shown in Fig. 6.1(a) (i). Particle moves through ds and inclination of force F with ds is equal to Î¸. Differential workdone dU is equal to the projection (F cos Î¸) of force along displacement multiplied by ds. Or, dU is equal to dot product of vector F and vector ds .
• Chapter 7

Kinematics of Rectilinear Motion Price 2.99  |  2.99 Rewards Points

In statics we have considered rigid bodies that are at rest. In dynamics we shall consider bodies that are in motion. While statics is a very old science, dynamics, on the contrary, is a comparatively new one. In statics there are only two kinds of units to be dealt with: that of length for measuring the dimensions or distances between bodies and that of force for measuring the actions and reactions between them. Precision instruments for the measurement of length and force are simple and were well developed in early times. In dynamics, we need, in addition to the units of length and force, a unit of measuring time.
• Chapter 8

Dynamics of Rectilinear Motion Price 2.99  |  2.99 Rewards Points

As discussed earlier, Kinematics is that branch of Engineering Mechanics in which we study the motion of a particle or rigid bodies of negligible mass. In other words, we study motion of bodies without considering the forces causing the motion. In this chapter we shall study the forces causing motion of a particle and of a rigid body.
• Chapter 9

Dynamics of a Particle-Curvilinear Motion Price 2.99  |  2.99 Rewards Points

As discussed earlier, the equations of motion of a particle relate mass, acceleration and the force which causes the motion. The acceleration of a particle in a curvilinear motion is a vector which can be resolved into two perpendicular components. These components can be either (a) ax and ay along the x-and y-directions, respectively, or (b) an and at along the normal and tangent to the curvilinear path of the particle. See Fig. 9.1 for components of acceleration.
• Chapter 10

Centre of Gravity and Mass Moment of Inertia Price 2.99  |  2.99 Rewards Points

Earlier in Chapter 3, centroid of lamina was considered, at length. A lamina is a special case of very thin homogeneous plate. We shall now discuss the method of determination of the centre of gravity of solid bodies.
• Chapter 11

Curvilinear Motion and Rotation of Rigid Bodies Price 2.99  |  2.99 Rewards Points

A rigid body may be thought of a collection of particles held together by internal forces such that the particles remain the same distance apart. Therefore, if the rigid body moves in a given direction, all its particles will move in the same direction. The laws of motion of a particle are applicable to the rigid bodies. In this chapter, we shall study the relations between the applied forces and the resulting motion of the rigid body. The body may have various types of motions such as translation, rotation or the plane motion. A plane motion is a combination of motion of translation and rotation. The study of problems of motion can be idealized as problems of plane motion. For this, the body can be thought of a thin lamina or slab with its mass centre lying in the plane of its motion.
• Chapter 12

Impact or Collision of Elastic Bodies Price 2.99  |  2.99 Rewards Points

When the two elastic bodies collide, they are first deformed, then they spring (or separate) apart because of the action of restoring elastic forces. Throughout this elastic impact, there occurs a perfect action and reaction of elastic forces. The velocity with which the two bodies separate after impact or collision depends on (a) the velocities with which the two bodies approach each other before impact, (b) the shape and size (c) the elastic properties of the colliding bodies, and (d) the direction (i.e., the line) of impact.