# Basic engineering mechanics pdf

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đť—Łđť——đť—™ | Introduction to Engineering Mechanics | ResearchGate, the The following are the terms basic to study mechanics, which should be. BASIC ENGINEERING. MECHANICS. j.H. HUGHES. nvrehs.info Department of Mechanical Engineering and Engineering Production, UWIST. M. Download Engineering Mechanics Pdf 1st year Notes Pdf. We have provided Engineering Mechanics 1st Year Study Materials and Lecture Notes for CSE, ECE.

Concurrent forces are those forces whose lines of action 1. Meet on the same plane 2. Meet at one point 3. Lie on the same line 4. None of these 2. Which of the following is a scalar quantity? Force 2. Velocity 3. Speed 4. Acceleration 3.

Velocity 3. Speed 4. Acceleration 3. The principle of transmissibility of forces states that, when a force acts upon a body, its effect is 1. Same at every point on its line of action 2.

## Engineering Mechanics 1: Statics (Springer Textbook) (Pt. 1) - PDF Free Download

Different at different points on its line of action 3. Maximum, if it acts at the centre of gravity of the body 4. Minimum, if it acts at the centre of gravity of the body 4. Non-coplaner concurrent forces are those forces which 1. Meet at one point and their lines of action also lie on the same plane 2.

Do not meet at one point and their lines of action do not lie on the same plane 3. Meet at one point, but their lines of action do not lie on the same plane 4.

Do not meet at one point, but their lines of action lie on the same plane 5. We come across several relations among the physical quantities. Some of the terms may be having dimensions and some others may be dimensionless. However in any equation dimensions of the terms on both sides must be the same. This is called dimensional homogenity.

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The branch of mathematics dealing with dimensions of quantities is called dimensional analysis. There are two systems of dimensional analysis viz. In absolute system the basic quantities selected are Mass, Length and Time. Hence it is known as MLT-system. In gravitational system the basic quantities are Force, Length and Time. Hence it is termed as FLT-system. The dimensions of some of the physical quantities are listed in Table 1.

Velocity LTâ€”1 LTâ€”1 2. Acceleration LTâ€”2 LTâ€”2 3. Area L2 L2 5.

Volume L3 L3 6. Force MLTâ€”2 F 7. The value of this constant will be different in different system of units. Example 1. In the following equation verify, whether 9.

If it is not so, what should be its dimension? We know this is gravitational acceleration term in SI unit i. In fact without such assumptions it is not possible to arrive at practical solutions.

The following idealisations are usually made in engineering mechanics. The body is rigid. The body can be treated as continuum. If the size of the body is small compared to other distances involved in the problem, it may be treated as a particle.

If the area over which force is acting on a body is small compared to the size of the body, it may be treated as a point force. For example, in Fig. Actually the man cannot apply his weight through a single point. There is certain area of contact, which is, however, small compared to the other dimensions in the problem. Hence, the weight of the man is treated as a point load. Support conditions are idealised which will be discussed later as simple, hinged, fixed etc.

These assumptions have some effect on the accuracy of final results. There are some imperfection in construction and fabrications of structures. To take care all these uncertainities engineers multiply the load by a number 1.

In view of all these, there is no need in noting the calculations beyond four digits. It is found that 0. Classical approach gives physical feel of the problem. It gives confidence to engineers in accepting the results presented by others and quickly take decisions on site. Development of such feel of the problem is very much essential for engineers.

However it becomes difficult to solve three dimensional problems by classical approach. Vector approach is ideally suited for the analysis of three dimensional problems. But the disadvantage of vector approach is physical feel of the problem is lost and the ability of site engineers in quick decision is not developed. Hence there are two school of academicians, one advocating for classical approach and the other advocating for vector approach.

In this book author has used classical approach for the solution of engineering mechanics problems. Important Definitions and Concepts 1.

## Engineering Mechanics 1: Statics (Springer Textbook) (Pt. 1)

Displacement is defined as the distance moved by a body or particle in the specified direction. The rate of change of displacement with time is called velocity. Acceleration is the rate of change of velocity with respect to time. The product of mass and velocity is called momentum. A body is said to be treated as continuum, if it is assumed to consist of continuous distribution of matter. A body is said to be rigid, if the relative position of any two particles in it do not change under the action of the forces.

According to the law of transmissibility of force, the state of rest or motion of a rigid body is unaltered, if a force acting on a body is replaced by another force of the same magnitude and direction but acting anywhere on the body along the line of action of the replaced force.

The parallelogram law of forces states that if two forces acting simultaneously on a body at a point are represented by the two adjacent sides of a parallelogram, their resultant is represented in magnitude and direction by the diagonal of the parallelogram which passes through the point of intersection of the two sides representing the forces.

The qualitative description of physical variable is known as dimension while the quan- titative description is known as unit.

A quantity is said to be scalar, if it is completely defined by its magnitude alone. State and explain Law of transmissibility of forces. State and explain parallelogram law of forces. From this derive triangle and polygonal laws of forces. Explain the termsâ€”concurrent and non-concurrent force system; planar and non-planar system of forces.

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## Solving Practical Engineering Mechanics Problems: Statics

Arbind Singh T Prof. Anjan Dutta T Dr. Kaustubh Dasgupta T Dr. Bishnupada Mandal T13 4G3 Prof. Moholkar T14 4G4 Dr. Mechanics is a branch of the physical sciences that is concerned with the state of rest or motion of bodies subjected to the action of forces. Rigid-body Mechanics ME Statics Dynamics Deformable-Body Mechanics, and Fluid Mechanics 9 Engineering Mechanics Rigid-body Mechanics a basic requirement for the study of the mechanics of deformable bodies and the mechanics of fluids advanced courses.

A rigid body does not deform under load! Force acting on a body is related to the mass of the body and the variation of its velocity with time. Force can also occur between bodies that are physically separated Ex: gravitational, electrical, and magnetic forces 14 Mechanics: Fundamental Concepts Remember: Mass is a property of matter that does not change from one location to another.

Weight refers to the gravitational attraction of the earth on a body or quantity of mass. Its magnitude depends upon the elevation at which the mass is located Weight of a body is the gravitational force acting on it.

Earth can be modeled as a particle when studying its orbital motion 16 Mechanics: Idealizations Rigid Body: A combination of large number of particles in which all particles remain at a fixed distance practically from one another before and after applying a load.

Material properties of a rigid body are not required to be considered when analyzing the forces acting on the body. In most cases, actual deformations occurring in structures, machines, mechanisms, etc. Provided the area over which the load is applied is very small compared to the overall size of the body.

Ex: Contact Force between a wheel and ground.