Engineering Mechanics: Problems and Solutions PDF

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This comprehensive and self-contained textbook will help students in acquiring an understanding of fundamental concepts and applications of engineering mechanics. With basic prior knowledge, the readers are guided through important concepts of engineering mechanics such as free body diagrams, principles of the transmissibility of forces, Coulomb's law of friction, analysis of forces in members of truss and rectilinear motion in horizontal direction. Important theorems including Lami's theorem, Varignon's theorem, parallel axis theorem and perpendicular axis theorem are discussed in a step-by-step manner for better clarity. Applications of ladder friction, wedge friction, screw friction and belt friction are discussed in detail. The textbook is primarily written for undergraduate engineering students in India. Numerous theoretical questions, unsolved numerical problems and solved problems are included throughout the text to develop a clear understanding of the key principles of engineering mechanics. This text is the ideal resource for first year engineering undergraduates taking an introductory, single-semester course in engineering mechanics....

Table of Contents

Contents Preface 1. Introduction 1.1 Introduction to Engineering Mechanics 1.2 Basic Idealizations: Particle, Continuum and Rigid Body 1.3 Units 1.3.1 Types of units 1.3.2 Systems of units 1.4 Scalar and Vector Quantities 1.5 Force and its Characteristics 1.6 Force System 1.6.1 Classification of force system 1.7 Laws of Mechanics 1.7.1 Laws of motion 1.7.2 The gravitational law of attraction 1.7.3 Laws of forces 1.8 Vector Algebra 1.8.1 Vectors’ representation 1.8.2 Classification of vectors 1.8.3 Vector operations 1.8.4 Vectorial representation of component of force 1.8.5 Vectorial representation of force passing through two points in space Theoretical Problems Numerical Problems Multiple Choice Questions 2. Two Dimensional Concurrent Force Systems 2.1 Resolution of Force and Force Systems 2.2 Resultant of Two Dimensional Concurrent Forces 2.3 Principle of Transmissibility of Forces 2.4 Free Body Diagrams 2.5 Equations of Equilibrium Conditions 2.6 Lami’s Theorem Numerical Problems Multiple Choice Questions 3. Two Dimensional Non-concurrent Force Systems 3.1 Introduction 3.2 Moment 3.3 Couple 3.4 Moment of Couple 3.5 Transfer of a Force to Parallel Position 3.6 Graphical Presentation of Moment 3.7 Varignon’s Theorem 3.8 Equations of Equilibrium Conditions 3.9 Types of Supports and their Reactions on Beams 3.10 Types of Beams 3.11 Types of Loading on Beams Numerical Problems Multiple Choice Questions 4. Friction 4.1 Introduction 4.2 Coulomb’s Laws of Dry Friction 4.3 Static Friction, Limiting Friction, Kinetic Friction 4.4 Angle of Friction 4.5 Angle of Repose 4.6 Cone of Friction Numerical Problems Multiple Choice Questions 5. Application of Friction 5.1 Ladder Friction 5.2 Wedge Friction 5.3 Screw Friction 5.4 Belt Friction 5.5 Band Brakes Theoretical Problems Numerical Problems Multiple Choice Questions 6. Analysis of Trusses 6.1 Introduction 6.2 Classification of Trusses 6.3 Assumptions for the Analysis of Perfect Truss 6.4 Analysis of Forces in the Members of the Truss 6.4.1 Method of joint 6.4.2 Method of section Thoretical Problems Numerical Problems Multiple Choice Questions 7. Centroid and Centre of Gravity 7.1 Introduction 7.2 Centre of Gravity, Centroid of Line, Plane Area and Volume 7.3 Centroid of L, C, T and I-Sections 7.4 Importance of Axis of Symmetry in Centroid and Centre of Gravity 7.5 Centroid of a Triangle 7.6 Centroid of a Quarter Circle and Semicircle 7.7 Centroid of Composite Sections and Bodies 7.8 Centre of Gravity of Cone and Hemisphere Numerical Problems Multiple Choice Questions 8. Moment of Inertia 8.1 Moment of Inertia of Plane Area and Mass 8.2 Radius of Gyration 8.3 Parallel Axis Theorem and its Significance 8.4 Perpendicular Axis Theorem 8.5 Moment of Inertia of a Rectangle 8.6 Moment of Inertia of a Triangle 8.7 Moment of Inertia of a Circle, a Quarter Circle and a Semicircle 8.8 Moment of Inertia of Composite Sections and Bodies 8.9 Mass Moment of Inertia of Prismatic Bar, Rectangular Plate, Circular Disc, Solid Cone and Sphere about Axis of Symmetry Numerical Problems Multiple Choice Questions 9. Shear Force and Bending Moment Diagrams 9.1 Beams 9.2 Types of Beams 9.3 Types of Loads and Beams 9.4 Shear Force and Bending Moment 9.5 Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) 9.6 Sign Convention of Shear Force and Bending Moment in SFD and BMD 9.7 Relationship between Load Intensity (w), Shear Force (S) and Bending Moment (M) 9.8 Point of Contraflexure or Inflexion 9.9 Characteristics of SFD and BMD Theoretical Problems Numerical Problems Multiple Choice Questions 10. Kinematics: Rectilinear Motion of Particles 10.1 Introduction 10.2 Displacement, Velocity and Acceleration 10.3 Rectilinear Motion 10.4 Rectilinear Motion in Horizontal Direction (X-axis) 10.4.1 Motion with variable acceleration 10.4.2 Motion with uniform acceleration 10.5 Graphical Method for Motion Curves 10.6 Rectilinear Motion in Vertical Direction (Y-axis) Theoretical Problems Numerical Problems Multiple Choice Questions 11. Kinematics: Curvilinear Motion of Particles 11.1 Introduction 11.2 Rectangular Coordinates 11.3 Tangential and Normal Components of Acceleration 11.4 Projectile Theoretical Problems Numerical Problems Multiple Choice Questions 12 Kinetics of Particles 12.1 Introduction 12.2 Laws of Motion 12.3 D’Alembert’s Principle Theoretical Problems Numerical Problems Multiple Choice Questions 13. Work and Energy 13.1 Introduction 13.2 Work Done by a Force 13.3 Work Done by a Variable Force 13.4 Energy 13.5 Work–Energy Principle 13.6 Power 13.7 Principle of Conservation of Energy Theoretical Problems Numerical Problems Multiple Choice Questions 14. Impulse and Momentum 14.1 Introduction 14.2 Principle of Impulse and Momentum 14.3 Principle of Conservation of Momentum 14.4 Collisions of Elastic Bodies 14.4.1 Direct central impact 14.4.2 Oblique/Indirect central impact 14.4.3 Coefficient of restitution Theoretical Problems Numerical Problems Multiple Choice Questions 15. Kinematics of Rigid Bodies 15.1 Introduction 15.2 Rotational Motion 15.3 Angular Displacement, Angular Velocity and Angular Acceleration 15.4 Relationship between Linear and Angular Velocity 15.5 Relationship between Linear, Normal and Angular Acceleration 15.6 Equations of Angular Motion 15.7 General Plane Motion 15.8 Instantaneous Centre 15.9 Relative Velocity Theoretical Problems Numerical Problems Multiple Choice Questions 16. Kinetics of Rigid Bodies 16.1 Introduction 16.2 Kinetics of Rotary Motion 16.2.1 Moment of momentum 16.2.2 Torque and angular momentum 16.3 Kinetic Energy of a Body in Translatory and Rotary Motion 16.4 Principle of Conservation of Energy 16.5 Principle of Work and Energy Theoretical Problems Numerical Problems Multiple Choice Questions 17. Virtual Work 17.1 Introduction 17.2 Principle of Virtual Work 17.3 Work Done by Forces 17.4 Work Done by Moments Theoretical Problems Numerical Problems Multiple Choice Questions Index

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Solving Practical Engineering Mechanics Problems

Fluid Mechanics

  • Sayavur I. Bakhtiyarov 0

New Mexico Institute of Mining and Technology, USA

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Table of contents (18 chapters)

Front matter.

Sayavur I. Bakhtiyarov

Engineering mechanics solved problems pdf

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No soy autor de este manual y su publicación es unicamente con fines académicos. El el presente se encuentra el solucionario a la decima edición de ejercicios del libro STATICS de Beer & Jhonston. Los ejercicios no fueron resueltos por mi. I am not the author of this manual and its publication is for academic purposes only. The present is the solution to the tenth edition of exercises of the STATICS book by Beer & Jhonston. The exercises were not solved by me.

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2500 Solved Problems In Fluid Mechanics And Hydraulics ( Schaum's Solved Problems)

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Saatdjian, , E., Author, and Janna, , W., Reviewer (July 1, 2001). " Transport Phenomena: Equations and Numerical Solutions ." ASME. Appl. Mech. Rev . July 2001; 54(4): B72–B73. https://doi.org/10.1115/1.1383685

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7R53. Transport Phenomena: Equations and Numerical Solutions. - E Saatdjian (ENSIC-INPL, Vandoeuvre, France). Wiley, W Sussex, UK. 2000. 414 pp. ISBN 0-471-62230-3.

Reviewed by WS Janna (Herff Col of Eng, Univ of Memphis, 201E Eng Admin, Memphis TN 38152).

The author has undertaken the ambitious project of writing a text that presents Transport Phenomena as well as a description of the numerical solution methods that can be used to solve such problems. The text is thus divided into two parts.

The first part (Chs 1–7) is devoted to Transport Phenomena. Conservation equations are written in Chapter 1; these include mass, momentum, and energy conservation equations. Chapter 2 is on incompressible fluid dynamics, beginning with the Bernoulli Equation and continuing with unsteady flows, dimensional analysis, laminar and turbulent flows in a tube, flow over a flat plate, and a corresponding numerical solution formulation.

Chapter 3 covers conduction heat transfer. Some of the topics are steady-state conduction, heat flow through a composite plane or cylindrical wall, fin theory, and unsteady heat conduction. Forced convection is the subject of Chapter 4. Problems considered are laminar flow in a circular tube, flow in an annulus, external flow over a flat plate, and heat exchangers.

Chapter 5 continues with natural convection heat transfer. The areas covered include dimensional analysis for natural convection problems, natural convection in a porous medium, mixed convection, and experimental results obtained for various problems. Chapter 6 is on radiation heat transfer with topics such as black body radiation, view factors, radiation in enclosures, gray bodies, and radiation in absorbing media.

Mass transfer is the subject of Chapter 7. Fick’s Law for a binary mixture is presented, along with molecular diffusion in gases and in liquids, steady-state diffusion problems, falling liquid films, and simultaneous heat and mass transfer, among other topics.

The second part of the book begins with Chapter 8 which describes the finite difference method of representing a differential equation. It presents explicit and implicit formulations and discusses how boundary conditions are treated mathematically. This chapter is relatively short, although it contains many other topics, such as solution methods for parabolic equations and for nonlinear equations. Elliptic equations are found in Chapter 9. Iterative solution methods and relaxation methods are described. One problem considered is natural convection in a porous medium. The finite volume method is the subject of Chapter 10. The method is described as are boundary conditions, unsteady regimes, and staggered grids.

The text also contains nine appendices. These are labeled alphabetically in the text as: (A) Equations in Curvilinear Coordinates; (B) Vector Analysis; (C) An Introduction to Tensor Analysis; (D) Prediction of Transport Properties; (E) Laplace Transforms; (F) Solution of Bessel’s Equation; (G) Radiative Transfer in a Cloud of Particles; (H) Runge Kutta Method; and (I) Integration Using Gaussian Quadrature. Appendix E could be omitted from the text and would not be missed. Following the appendices is an index which appears to be rather complete.

Each chapter concludes with a Bibliography and (except for Chapter 10) Problems. The Bibliography sections contain titles that provide the reader with information about the topics covered in the chapter, rather than an extensive list of related topics. Some of the chapters conclude with a section titled Examples and Problems (rather than just Problems), in which “proof” type exercises are presented. The text contains 53 individual examples and problems.

The text is readable, although it contains an occasional Anglicanism (eg, aeroplane). The text is rather abrupt and in many places does not contain great detail especially in equation derivations. This could mean that the author may have written the text for the reader who is already familiar with Transport Phenomena. There are examples in the text that are written using italicized text, which at times may confuse the reader especially when trying to differentiate the dimension for mass from the unit for meter, or when trying to identify the symbol for absolute viscosity versus the symbol used as an SI prefix. The use of SI units is not strictly correct in a few places. In the examples where calculations are made, it would be helpful if the examples showed where the physical properties of the fluids were obtained.

The empty phrases “one can show that,” and “one can easily show” have no place in any textbook, but both of these appear in Chapter 8. The footnotes, on the other hand, are very interesting. When a particular phenomenon is described and a personage is mentioned, the reader is referred to a footnote that provides information about the individual. These include such commonly recognized names as Daniel Bernoulli, as well as not so well known persons (eg, Niels Abel).

Missing from the text is an all-encompassing example that shows the methodology of solving a problem numerically. Such a problem would start with the differential equation and boundary conditions. The finite difference form of the equation and boundary conditions would be formulated. The equations would be solved and the results would be compared to the exact solution. All the information needed to do this is in the text, if it included such an example, the text would give a much better presentation.

Overall, Transport Phenomena is very good. It is readable and interesting and contains many problems. It would not be a very good text for a beginner in the area of Transport Phenomena, but for someone already familiar with fluid dynamics, heat transfer and mass transfer, the text is a good one. It would make a very good addition to any reference library. The book can be used successfully in the classroom if supplemented with more problems.

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