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MECHANICS OF SOLIDS
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Mechanics of solidsDr. H. J. ShahEdition : 1st Edition : 2008 ISBN : 9788185594835 Size : 170 mm × 240 mm Binding : Paperback Pages : 768 + 20 = 788` 250.00ABOUT THE BOOKMany Universities have adopted this subject for general stream for all first year engineering students. Therefore, in this textbook titled Mechanics of Solids, approach is to study systematically the fundamentals of Mechanics of Solids and their application to engineering problems which comprises of Statics from Applied Mechanics and a few topics from Strength of Materials. The conspectus of the book is: Chapter 01 and 02 gives Introduction of Mechanics; fundamental concepts and principles; Scalers, Vectors and Tensors; SI units, Vectors etc. Chapter 03 to 07 Mechanics of Rigid Bodies: Fundamentals of Statics etc. Chapter 08 gives Types of Loads, Beams, Supports and Support Reactions etc. Chapter 09 Trusses; Chapter 10 Graphics statics Chapter 11 and 12 Properties of Lines and Areas, Distributed forces, Centre of Gravity and Moment of Inertia. Chapter 13 and 14 Friction; Chapter 15 Simple Machines Chapter 16 to 28 Mechanics of deformable bodies or Strength of Materials Chapter 16 to 19 consist Simple stresses and strains Chapter 20, 21 and 22 Principal stresses and strains Chapter 23 and 28 Physical, Mechanical Properties and Testing of Structural Materials. Chapter 24 and 25 Shear forces and Bending Moments Chapter 26 and 27 Stresses in Beams. The book within its 768 + 20 pages, It comprise the following: * 975 Neatly drawn sketches * 40 Useful tables * 489 Fully illustrated worked examples * 558 Unsolved examples with answers and * 26 Questions at the ends of chapters The salient features of the book are: * Simple, lucid and easy language; * Step-by-step treatment of the subject; * Comprehensive presentation; * Entirely in SI units. The text-matter has been arranged systematically to satisfy the need of the First Year Engineering Students (Common to all branches) and also Architecture Students of all the Indian Universities, Diploma examinations conducted by various Boards of Technical Education, Certificate courses as well as for the A.M.I.E., U.P.S.C., G.A.T.E., I.E.S. and other similar competitive and professional examinations. It should also be an immense use to practising Civil Engineers.CONTENT1 : Introduction 2 : Vectors 3 : Coplanar Concurrent Forces 4 : Moments 5 : Parallel forces and couples 6 : Resultant of coplanar force systems 7 : Equilibrium of coplanar force systems 8 : Reactions 9 : Trusses 10 : Graphic Statics 11 : Properties of lines, Areas and Solids 12 : Area moments of inertia 13 : Friction 14 : Belt and Rope Drives 15 : lifting machines 16 : Simple Stress 17 : Simple Strain 18 : Statically Indeterminate Members 19 : Thermal Stresses and Strains 20 : Stresses on Inclined Planes 21 : Combined Stresses: Principal stresses 22 : Mohr’s Circle Method 23 : Testing of Materials – I 24 : Shear Forces and Bending Moments – I 25 : Shear Forces and Bending Moments – II 26 : Bending Stresses in Beams 27 : Shear Stresses in Beams 28 : Testing of materials–IIMECHANICS OF SOLIDS Detailed ContentsChapter 1 Introduction 1-1. Mechanics 1-2. Fundamental concepts 1-3. Scalars, vectors and tensors 1-4. Fundamental principles 1-5. System of units: SI units BASIC SI UNITS 1-6. Using SI units Questions I Chapter 2 Vectors 2-1. Vectors 2-2. Basic operations with vectors 2-3. Components, unit vectors and position vector 2-4. Vector algebra: Dot product 2-5. Vector algebra: Cross product 2-6. Triple product of vectors Examples II Chapter 3 Coplanar Concurrent Forces 3-1. Forces and force systems 3-2. Principle of transmissibility 3-3. Resultant of a force system 3-4. Resultant of two coplanar concurrent forces 3-5. Resultant of several coplanar forces acting at a point: Law of polygon of forces 3-6. Resolution of a force 3-7. Resultant of a coplanar concurrent force system: Resolution method Examples III Chapter 4 Moments 4-1. Moment of a force 4-2. Principle of moments: Varignon’s theorem 4-3. Coplanar applications 4-4. Levers 4-5. A simple pulley Examples IV Chapter 5 Parallel forces and couples 5-1. Parallel force system 5-2. Couples 5-3. Equivalent couples 5-4. Addition of couples 5-5. Operations with couples 5-6. Equivalent systems of forces 5-7. Equipollent systems of vectors Examples V Chapter 6 Resultant of coplanar force systems 6-1. Introduction 6-2. Resultant of parallel force system 6-3. Centre of parallel forces 6-4. Resultant of a general coplanar force system 6-5. Concentrated and distributed loads Examples VI Chapter 7 Equilibrium of coplanar force systems 7-1. Equilibrium Equilibrium of a Particle 7-2. Equilibrium of a particle 7-3. Resultant and equilibrant 7-4. Principle of action and reaction 7-5. Free body and free body diagram 7-6. Tensions of strings 7-7. Equilibrium of three forces acting on a particle: Lami’s theorem 7-8. Equilibrium of a particle under three forces acting on it 7-9. External and internal forces 7-10. Tension and compression 7-11. Connected bodies Equilibrium of a Rigid Body 7-12. Equilibrium of a rigid body 7-13. Conditions of equilibrium for a system of coplanar forces acting on a body 7-14. Types of supports 7-15. Solution of problems Examples VII Chapter 8 Reactions 8-1. Axial and transverse forces 8-2. Structural members 8-3. Types of beams 8-4. Reactions by proportions 8-5. Reactions by equations of statics: Principle of super-position 8-6. Determinate and indeterminate beams/structures Examples VIII Chapter 9 Trusses 9-1. Engineering applications of connected bodies TRUSSES 9-2. Introductory 9-3. Assumptions made in the analysis of a truss 9-4. Truss notations 9-5. Common types of trusses 9-6. Analysis of a truss 9-7. Method of joints 9-8. Method of sections 9-9. Determinateness of a truss 9-10. Truss with two hinges Examples IX Chapter 10 Graphic Statics 10-1. Introductory 10-2. Basic concepts 10-3. Conditions of equilibrium of a point 10-4. Three force equilibrium of coplanar, non-concurrent, non-parallel forces 10-5. Resultant of non-concurrent, non-parallel forces: Funicular polygon 10-6. Resultant of parallel forces 10-7. Parallel forces: Centroid problems 10-8. Graphical conditions of equilibrium 10-9. Reactions of beams and trusses 10-10. Graphical methods applied to trusses 10-11. Force diagrams for individual joints of a truss 10-12. The Maxwell diagram 10-13. Method of substitution 10-14. Truss with two hinges with inclined loads Examples X Chapter 11 Properties of lines, Areas and Solids 11-1. Introductory 11-2. Centre of gravity 11-3. Centre of mass 11-4. First moment of an element of line and area 11-5. First moment of a line segment and a finite area 11-6. Centroids of lines and areas 11-7. Centroids of symmetrical lines and areas 11-8. Centroids by integration 11-9. Summary of centroids of common figures 11-10. Centroids of composite areas 11-11. Theorems of Pappus—Guldinus 11-12. Centroid of volumes Examples XI Chapter 12 Area moments of inertia 12-1. Introduction 12-2. Definitions 12-3. Radius of gyration 12-4. Parallel axis theorem 12-5. Moment of inertia by integration 12-6. Moment of inertia of composite areas 12-7. Product of inertia Examples XII Chapter 13 Friction 13-1. Introduction 13-2. Types of friction 13-3. Characteristics of dry friction 13-4. Angle of friction: Cone of friction 13-5. Angle of repose 13-6. Types of problems 13-7. Equilibrium on a rough inclined plane APPLICATIONS OF FRICTION 13-8. The wedge 13-9. The screw 13-10. Screw-jack 13-11. Journal bearings, axle friction 13-12. Thrust bearings: Disc friction 13-13. Thrust bearing: Uniform wear 13-14. Friction plate clutches 13-15. Rolling resistance Examples XIII Chapter 14 Belt and Rope Drives 14-1. Belt drive 14-2. Velocity ratio 14-3. Compound belt drive 14-4. Length of belt: Open drive 14-5. Length of belt: Crossed drive 14-6. Transmission of power 14-7. Centrifugal tension 14-8. Optimum speed for maximum power 14-9. Rope drive Examples XIV Chapter 15 lifting machines 15-1. Definitions 15-2. Basic machines 15-3. Differential wheel and axle 15-4. Differential pulley-block 15-5. Differential screw 15-6. Pulley-blocks 15-7. Lifting machines with toothed gearing 15-8. Worm gearing 15-9. Worm geared screw jack 15-10. Worm geared pulley block 15-11. Linear law 15-12. Reversibility of a machine 15-13. Compound efficiency Examples XV Chapter 16 Simple Stress 16-1. Introduction to Mechanics of deformable bodies 16-2. Loading a bar 16-3. Principle of superposition 16-4. Classification of loaded bar 16-5. Gradual, sudden, impact and shock loading 16-6. Tension and compression 16-7. Resistance of an axially loaded bar 16-8. Concept of a stress 16-9. Normal stresses 16-10. Simple stress 16-11. Design of an axially loaded member 16-12. Non-prismatic bars 16-13. Axial force diagram 16-14. Rotating rings 16-15. Shear 16-16. Shear stress 16-17. Pure shear 16-18. Bearing stress Examples XVI Chapter 17 Simple Strain 17-1. Introduction 17-2. Linear strain 17-3. Shear strain 17-4. Elasticity 17-5. Hooke’s law 17-6. Axial and shear deformations 17-7. Bars of varying section 17-8. Bars of uniformly varying cross-section 17-9. A bar subjected to self-weight 17-10. Bar of uniform strength 17-11. Bars subjected to uniformly varying loads 17-12. Pin-jointed determinate frames 17-13. Lateral strain: Poisson’s ratio 17-14. Biaxial and triaxial deformations Examples XVII Chapter 18 Statically Indeterminate Members 18-1. Introduction 18-2. Composite bars 18-3. Equivalent modulus of a composite bar 18-4. Pin-jointed bars 18-5. Stresses due to lack of fit Examples XVIII Chapter 19 Thermal Stresses and Strains 19-1. Introduction 19-2. General 19-3. Coefficient of linear expansion 19-4. Stresses due to changes of temperature 19-5. Compound bar 19-6. Composite bar 19-7. Bars of uniformly varying cross-section 19-8. Shrinking-on Examples XIX Chapter 20 Stresses on Inclined Planes 20-1. Introduction 20-2. Stresses on inclined plane of a bar under tension or compression 20-3. State of pure shear: Stresses on inclined planes 20-4. Linear strain of the diagonal BD 20-5. Relation between the Moduli of Elasticity and Rigidity for a given material 20-6. Bulk Modulus 20-7. Relation between three elastic constants Examples XX Chapter 21 Combined Stresses: Principal stresses 21-1. Introduction 21-2. Stress components 21-3. Element subjected to general plane stress system 21-4. Principal planes and principal stresses 21-5. Planes carrying maximum shear stress 21-6. Element subjected to principal stresses Examples XXI Chapter 22 Mohr’s Circle Method 22-1. Mohr’s circle method Examples XXII Chapter 23 Testing of Materials – I 23-1. Introduction 23-2. Metals and alloys 23-3. Testing machines Tension Tests 23-4. The complete tensile test 23-5. Stress–strain diagram 23-6. Mechanical properties of materials 23-7. Modulus of elasticity 23-8. Yield point by the offset method: Proof stress 23-9. Secant modulus 23-10. Specific modulus of elasticity 23-11. Resilience 23-12. Toughness Compression Tests 23-13. The compression test 23-14. Compression tests on wood and concrete 23-15. Permissible stress: Factor of safety Stress Concentration 23-16. Stress concentration 23-17. Stress concentration factor 23-18. Importance of stress concentration under different loads 23-19. Elastoplastic materials: Limit design Examples XXIII Chapter 24 Shear Forces and Bending Moments – I 24-1. Introductory 24-2. Types of beams 24-3. Actions on the cross-section of a beam 24-4. Sign conventions 24-5. Shear Force (S.F.) and Bending Moment (B.M.) diagrams 24-6. Cantilevers 24-7. Simply supported beams 24-8. Relation between the S.F. and the B.M. at a cross-section of a beam 24-9. Overhanging beams Examples XXIV Chapter 25 Shear Forces and Bending Moments – II 25-1. Introduction 25-2. S.F. and B.M. diagrams for beams with variable loading 25-3. Beams with end couples 25-4. Beams with an intermediate couple 25-5. Supports offering pressures 25-6. Cantilever structures 25-7. Principle of superposition 25-8. Moment and loading diagrams drawn from shear diagrams 25-9. Beams subjected to inclined loads 25-10. Inclined beams 25-11. Graphical methods Examples XV Chapter 26 Bending Stresses in Beams 26-1. Simple bending 26–2. Theory of simple bending 26-3. Modulus of section or section modulus 26-4. Application of bending equation 26-5. Modulus of rupture 26-6. Beams of rectangular section 26-7. Strength of sections 26-8. Economic sections 26-9. Unsymmetrical and built-up sections 26-10. Modulus figure 26-11. Beam of uniform strength 26-12. Strain energy in flexure 26-13. Laminated springs Examples XVI Chapter 27 Shear Stresses in Beams 27-1. Resistance to shear force: shear stresses 27-2. Shear flow 27-3. Shear stresses in beams of rectangular and circular sections 27-4. Shear stresses in beams of I-section 27-5. Assumptions and limitations of the shear stresses formula 27-6. Shear stresses in built-up sections 27-7. Beam of square section with one diagonal horizontal 27-8. Design for flexure and shear 27-9. Principal stresses and Principal planes at a point in a beam section 27-10. Curves of principal stresses 27-11. Principal stresses in an I-section 27-12. Strain-energy due to shear in a beam Examples XVII Chapter 28 Testing of materials–II 28-1. Flexure tests 28-2. Important flexure tests 28-3. Shear tests 28-4. Hardness 28-5. Brinell hardness test 28-6. Rockwell hardness test 28-7. Impact tests 28-8. Fatigue 28-9. Stress spectrum 28-10. Fatigue tests 28-11. S-N curve 28-12. Endurance limit or fatigue limit 28-13. Fatigue failure Examples XXVIII Questions
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