Volunteer help needed! Please help create a comprehensive list of books

Posted on August 26, 2020 by The Mitr

Please help in creating a list of all the Soviet titles:

Help edit the entries in the this spreadsheet

Let me know if you have any questions

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Misha en español (Misha in Spanish)

Posted on August 16, 2020 by The Mitr

Mientras revisaba el Archivo, encontré algunas copias de Misha en español.

While browsing the Archive, I found some copies of Misha in Spanish.

All credits to the IA user @mikasa

10/1984

04/1985

03/1986

07/1987

11/1989

07/1990

 

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తెలుగులో కొన్ని పుస్తకాలు – పార్ట్ 1 | Some books in Telugu – Part 1

Posted on August 16, 2020 by The Mitr

There are about 40 odd books translated to Telugu which we have been added. We will look at the first five of them in this post. Some of them have been added in English earlier, some of them are new.

Many thanks to Guptaji for the original scans, some of them have been cleaned for better readability.

Many thanks to Keerthi and DP for help in typing the titles in Telugu.


మెర్గెనూ, అతని మిత్రులు నానాయ్ జానపదకథ ( Mergen And His Friends Nanai Folklore)

మాయ గుర్రం మేటి గుర్రం రష్యన్ జానపద కథ ( Maya Horse Meti Horse Russian Folk Tale)


మేలు మరవని పిచిక కె. పౌస్టోవ్స్కీ ( The Ruffled Sparrow K. Paustovski)


వేర్వేరు చక్రాలు వి. సుతేయేవ్ ( Different Wheels V. Suteyev)


మొసలి కాజేసిన సూర్యుడు కోర్నేయ్ చుకోవ్స్కి ( Crocodile Sun Korney Chukovsky)

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Integral Equations In Elasticity – Parton, Perlin

Posted on August 10, 2020 by The Mitr

In this post, we will look at the book Integral Equations In Elasticity by V. Z. Parton, P. I. Perlin.

About the book

This book presents the fundamentals of the theory of regular and singular integral equations in the case of one and two variables. The general principles of the theory of approximate methods are considered as well as their application for the efficient solution of both regular and singular integral equations. The necessary information is given on the three-dimensional and two-dimensional equations of the theory of elasticity including the formulation of boundary value problems. The book contains the derivation and analysis of various integral equations of the plane problem for both fundamental boundary value problems and mixed problems, and also for bodies with cuts. In the three-dimensional case the construction and analysis of integral equations are carried out for the first and second fundamental problems.

Emphasis is placed on efficient methods for solving integral equations for the plane and three-dimensional problems of elasticity. Examples are given illustrating the advantages of a particular approach. The book is appended with an extensive list of references giving comprehensive information of the subject of investigation.

The emphasis on numerical methods for the solution of integral equations for elastostatic problems corresponds to the author’s conviction that this approach has considerable promise, particularly with the advent of the nearest-generation computers.

The scope of the book is limited to elastostatic problems though the extension of the methods described to dynamic problems apparently involves no fundamental difficulties.

The book was translated from the Russian by ???? and was published by Mir in 1982.

Many thanks to Akbar Azimi for the scans.

The Internet Archive Link

Contents

Preface to the English Edition 7

Preface to the Russian Edition 8

On the Formation of Integral Equation Methods in the Theory of Elasticity by D. I. Sherman 10

Notation 19

Chapter 1 ELEMENTS OF THE THEORY OF ONE-DIMENSIONAL AND MULTIDIMENSIONAL INTEGRAL EQUATIONS

1. Analytic Theory of a Resolvent 21

2. Cauchy-type Integral 35

3. Riemann Boundary Value Problem 48

4. Singular Integral Equations 52

5. Riemann Boundary Value Problem in the Case of Discontinuous Coefficients and Unclosed Contours 64

6. Singular Integral Equations in the Case of Discontinuous Coefficients and Unclosed Contours 71

7. Two-dimensional Singular Integrals 75

8. Two-dimensional Singular Integral Equations 89

Chapter II APPROXIMATE METHODS FOR SOLVING INTEGRAL EQUATIONS

9. General Principles of the Theory of Approximate Methods 98

10. Method of Successive Approximations 105

11. Mechanical Quadrature Method for Regular Integral Equations 111

12. Approximate Methods for Solving Singular Integral Equations 114

13. Approximate Methods for Solving Singular Integral ^

Equations (Continued) 120

Chapter III FUNDAMENTAL PRINCIPLES OF THE MATHEMATICAL THEORY OF ELASTICITY

14. Three-dimensional Problem 137

15. Plane Problem 137

16. Bending of Thin Plates 143

17. On Singular Solutions of Elastic Equations 148

Chapter IV INTEGRAL EQUATIONS FOR TWO-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

18. Muskhelishvili’s Integral Equations 155

19. Sherman-Lauricella Integral Equations 159

20. Sherman-Lauricella Integral Equations (Continued) 164

21. Multiply (Doubly) Connected Regions 168

22. Problems of the Theory of Elasticity for Piecewise Homogeneous Bod ies 171

Chapter V SOME SPECIAL TOPICS OF TWO-DIMENSIONAL ELASTICITY

23. Problems of the Theory of Elasticity for Bodies with Cuts 175

24. Integral Equations for Mixed (Contact) Problems 179

25. Problems of the Theory of Elasticity for Bodies Bounded by Piecewise Smooth Contours 182

26. Method of Linear Relationship 186

27. Method of Linear Relationship (Continued) 189

Chapter VI INTEGRAL EQUATIONS FOR FUNDAMENTAL THREE-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

28. Generalized Elastic Potentials 199

29. Regular and Singular Integral-Equations for Fundamental Three-dimensional Problems 206

30. Extension of the Fredholm Alternatives to Singular Integral Equations of the Theory of Elasticity 215

31. Spectral Properties of Regular and Singular Integral Equations. Method of Successive Approximations 217

32. Differential Properties of Solutions of Integral Equations and Generalized Elastic Potentials 223

33. Approximate Methods of Solving Integral Equations for Fundamental Three-dimensional Problems 224

34. Problems of the Theory of Elasticity for Bodies Bounded by Several Surfaces 239

35. Three-dimensional Problems of the Theory of Elasticity for Bodies with Gut 244

36. Piecewise Homogeneous Bodies 253

37. Solution of Problems of the Theory of Elasticity for Bodies Bounded by Piecewise Smooth Surfaces 262

38. Mixed (Contact) Problems 269

Conclusion 274

References 277

Author Index 299

Subject Index 302

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Plugging Materials and the Cementing of Wells – Bulatov

Posted on August 4, 2020 by The Mitr

In this post, we will see the book Plugging Materials and the Cementing of Wells by A. Bulatov.

About the book:

This textbook, translated from the third Russian edition, is intended for students at technical schools specializing in the drilling of oil and gas wells. The book outlines the techniques of cementing oil and gas wells, based on current scientific developments and experience gained in applying advanced methods by the Soviet oil-industry specialists, and offers a description of cementing outfit, plugging cements, and chemicals used for their
treatment. It also surveys the properties of plugging mixtures (slurries) and cement stone under a variety of geological and technical conditions.

One of the merits of the text is that it describes the composition of plugging cements and techniques employed in their preparation, which is of great importance in training technical personnel at oil fields.

The book will be of particular value in countries where oil is being produced with the participation of the Soviet specialists and with use of the Soviet-made equipment.

 

The book was translated from the Russian by S. Kittell and was published by Mir in 1985 (Second Edition).

Many thanks to Akbar Azimi for the scans.

The Internet Archive Link

Contents

Preface. 8

Introduction. 9

Chapter I. Methods of Casing Cementing. 13

1.1. Primary Cementing Methods. 13
1.2. Secondary (Remedy) Cementing Methods. 22

Chapter 2. Technology of Cementing Wells. 21

2.1. Flow Properties of Slurries. 24
2.2. Idea of Slurry Flow. 28
2.3. Preparation of Well Bore for Casing and Cementing. 30
2.4. Determining Well Bore Configuration and Volume. 35
2.5. Improving the Quality of Well Cementing. 38
2.6. Technological Parameters. 39
2.7. Spacer (Displacement) Fluids. 42

Chapter 3. Cementing Units and Cement Mixers. 44

3.1. Cementing Units. 44
3.2. Cementing Units of Special Construction. 55
3.3. Improvement of Cementing Units. 57
3.4. Citnent Mixers. 59
3.5. Cementing Process Control Station and Self-Propelled Manifold Unit.68
3.6. Cementing Process Calculations. 71

Chapter 4. Cementing Conditions and Requirements for the Quality of Cement Slurries and Stone. 85

4.1. Temperature and Pressure In Wells. 86
4.2. Stratal Waters. 88
4.3. Requirements to the Quality ot Plugging Mixture and Stone. 89

Chapter 5. Composition and Basic Properties of Portland Cement. 97

5.1. Classification of Plugging (Oil-Well) Cements and Mixtures. 97
5.2. Plugging Portland Cement. 99
5.3. Clinker Composition. 99
5.4. Quantitative Characteristics of Clinker. 101
5.5. Saturation Coefficient and Moduli of Portland Cement. 101
5.6. Estimated and Actual Mineralogical Composition of Portland Cement Clinker. 102
5.7. Brief Information on the Technology of Portland Cement Production. 104
5.8. Properties of Dry Cement Flour. 106
5.9. Active Mineral Additives io Binders. 107
5.10. Heat Liberation During Hardening of Plugging Mixtures. 108

Chapter 6. Properties of Cement Slurry and Cement Stone. 123

6.1. Sedimentation Stability of Cement Slurries. 123
6.2. Water Loss of Cement Slurry. 124
6.3. Thickening of Cement Slurry. 126
6.4. Setting Time of Cement Slurries. 127
6.5. Density of Cement Slurry. 129
6.6. Intemingling of Mud Fluids and Plugging Mixtures. 129
6.7. Contraction Effect in Hydration of Cement and in Hardening of Cement Slurry. 131
6.8. Mechanical Strength of Cement Stone. 132
6.9. Permeability of Cement Stone. 135
6.10. Adhesion of Cement Stone to Casing String Metal and to Rocks. 137
6.11. Changes in Volume of Plugging Cements (Slurries and Stone). 138

Chapter 7. Plugging Cement. 142

7.1. Definition and Composition of Plugging Cement. 142
7.2. Specifications for Granulated Coke-Smelting Blast-Furnace Slags. 143
7.3. Specifications for Plugging Cement. 143
7.4. Acceptance Rules. 144
7.5. Test Methods. 145
7.6. Transportation and Storage. 159
7.7. Determining the Permeability of Cement Stone. 159

Chapter 8. Adjusting the Properties of Cement Slurry and Cement Stone. 162

8.1. Cement Setting Retardants. 162

Chapter 9. Plugging Cements for High-Temperature Wells. 169

9.1. Cement-Sand Slurries. 169
9.2. Choice of Sand. 171
9.3. Proportioning of Cement-Sand Slurries. 173
9.4. Permeability of Cement-Sand Stone. 175
9.5. Slag-Sand Cements. 176
9.6. Setting Time and Mechanical Strength of Slag-Sand Slurries and Stone. 178
9.7. Slag-Sand Cements for Wells with Bottom-Hole Temperatures above 200 °C and Pressures up to 100 MPa. 182
9.8. Slag-Sand Cements with Sand of Natural Size. 182
9.9. Plugging Cements Based on Ferromanganese Slag. 184
9.10. Jointly Ground Slag-Sand Cements. 184
9.11. Separate and Combined Effects of Temperature and Pressure on Properties of Slag Slurries. 185
9.12. Effect of Storage Time on Properties ot Slag Cements. 185
9.13. Water Loss of Slag Slurries. 186
9.14. Adhesion of Slag Cements to Metal. 187
9.15. Slag Portland Cement. 187
9.16. Lime-Sand Slurries. 189
9.17. Belite-SIlica Cement. 190

Chapter 10. Cements for Low-Density Slurries and Weighted Cements. 191

10.1. Lightened Plugging Mixtures with Finely Ground Silica Additives. 197
10.2. Lightened Slag Slurries. 198
10.3. Weighted Cement Slurries. 200
10.4. Weighted Slag Slurries. 204
10.5. Aerated Cement Slurries. 204

Chapter 11. Cement Slurries Prepared with Concentrated Saline Solutions (Brines) 208

11.1. Dissolution of Saliferous Rocks in Plugging Mixtures. 209
11.2. Preparation of Salinized (Brine) Plugging Mixtures. 210
11.3. Effect of Salts on Pheological Properties of Plugging Mixtures. 212
11.4. Water Loss of Salinized (Brine) Plugging Mixtures. 213
11.5. Adhesion of Cement Stone to Salts. 214
11.6. Corrosion of Plugging Cement Stone. 214
11.7. Features Specific to Cementing of Wells in Permafrost Areas. 215

Chapter 12. Plugging Materials for Controlling Loss of Circulation. 219

12.1. Plugging Mixtures for Controlling Loss of Circulation in Drilling. 220
12.2. Quick-Setting Mixtures. 221
12.3. Gel-Cements. 223
12.4. Features Specific to the Setting of Quick-Taking Plugging Mixtures. Selection of Mixtures for Concrete Conditions. 223

Chapter 13. Special Plugging Cements and Mixtures. 225

13.1. Corrosion-Proof Plugging Cements. 225
13.2. Expanding Plugging Cements. 230
13.3. Gypsum as a Plugging Material. 231
13.4. Hydrophobic Cements. 233
13.5. Oil-Cement Slurries. 233
13.6. Organic and Organic-Mineral Materials for Cementing Wells. 235

Chapter 14. Facilities and Structures for Transporting, Mixing, and Storage of Plugging Materials. 248

14.1. Plugging Cement Storage Regulations.252
14.2. Arrangement, Operating Principle, and Technical Data of Railwayside Mechanized Plugging Cement Store. 254
14.3. GROZNEFT Installation for Preparing Dry Plugging Mixtures. 258
14.4. KRASNODARNEFTEGAZ Installation for Preparing Plugging Mixtures. 259
14.5. Laboratory Control over Plugging Materials. 260

Chapter 15. Organization of Cementing Jobs. Complications and Safety Engineering in Cementing of Wells. 268

15.1. Organization of Cementing Jobs 268
15.2. Complications in Cementing of Wells. 272
15.3. Accident Prevention in Handling Free-Flowing and Dusty Materials. 278
15.4. Accident Prevention in Cementing Jobs. 280
15.5. Safety in Handling Radioactive Isotopes. 282
15.6. Safety Regulations to be Observed when Working in Gaseous Environment and Handling Chemicals.283
15.7. Safety Regulations to be Observed when Working in Winter Time. 283
15.8. General Safety Rules. 284

Chapter 16. Cementing Quality Check. 285

Index 292

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Linear Algebra with Elements of Analytic Geometry – Solodovnikov, Toropova

Posted on August 2, 2020 by The Mitr

In this post, we will see the book Linear Algebra with Elements of Analytic Geometry by A.S. Solodovnikov, G.A. Toropova.

About the book

This study aid follows the course on linear algebra with elementary analytic geometry and is intended for technical school students specializing in applied mathe­matics. The text deals with the elements of analytic geometry, the theory of matrices and determinants, systems of linear equations, vectors, and Euclidean spaces. The material is presented in an informal manner. Many interesting examples will help the reader to grasp the material easily.

The book was translated from the Russian by Tamara Baranovskaya and was published by Mir in 1990.

Original colour scan by Folkscanomy Mathematics.

The Internet Archive Link

CONTENTS

Preface 8

Part One. ANALYTIC GEOMETRY 10

Chapter 1. VECTORS IN THE PLANE AND IN SPACE. CARTESI­ AN COORDINATE SYSTEM 10

1.1. Vectors 10
1.2. Vector Basis in the Plane and in Space 20
1.3. Cartesian Coordinate System on a Straight Line, in the Plane, and in Space 28
Exercises to Chapter 1 35

Chapter 2. RECTANGULAR CARTESIAN COORDINATES. SIM­PLE PROBLEMS IN ANALYTIC GEOMETRY 37

2.1. Projection of a Vector on an Axis 37
2.2. Rectangular Cartesian Coordinate System 40
2.3. Scalar Product of Vectors 47
2.4. Polar Coordinates 54
Exercises to Chapter 2 55

Chapter 3. DETERMINANTS 57

3.1. Second-Order Determinants. Cramer’s Rule 57
3.2. Third-Order Determinants 60
3.3. n-th-Order Determinants 62
3.4. Transposition of a Determinant 67
3.5. Expansion of a Determinant by Rows and Columns 69
3.6. Properties of nth-Order Determinants 71
3.7. Minors. Evaluation of nth-Order Determinants 77
3.8. Cramer’s Rule for an n x n System 82
3.9. A Homogeneous n x n System 86
3.10. A Condition for a Determinant to Be Zero 91
Exercises to Chapter 3 95

Chapter 4. THE EQUATION OF A LINE IN THE PLANE. A STRAIGHT LINE IN THE PLANE 100

4.1. The Equation of a Line 100
4.2. Parametric Equations of a Line 105
4.3. A Straight Line in the Plane and Its Equation 107
4.4. Relative Position of Two Straight Lines in the Plane 122
4.5. Parametric Equations of a Straight Line 124
4.6. Distance Between a Point and a Straight Line 125
4.7. Half-Planes Defined by a Straight Line 127
Exercises to Chapter 4 128

Chapter 5. CONIC SECTIONS 131

5.1. The Ellipse 131
5.2. The Hyperbola 140
5.3. The Parabola 148
Exercises to Chapter 5 153

Chapter 6. THE PLANE IN SPACE 156

6.1. The Equation of a Surface in Space. The Equation of a Plane 156
6.2. Special Forms of the Equation of a Plane 163
6.3. Distance Between a Point and a Plane. Angle Between Two Planes 168
6.4. Half-Spaces 169 Exercises to Chapter 6 171

Chapter 7. A STRAIGHT LINE IN SPACE 174

7.1. Equations of a Line in Space. Equations ofa Straight Line 174
7.2. General Equations of a Straight Line 178
7.3. Relative Position of Two Straight Lines 183
7.4. Relative Position of a Straight Line anda Plane 186
Exercises to Chapter 7 189

Chapter 8. QUADRIC SURFACES 192

8.1. The Ellipsoid 192
8.2. The Hyperboloid 195
8.3. The Paraboloid 198

Part Two. LINEAR ALGEBRA 202

Chapter 9. SYSTEMS OF LINEAR EQUATIONS 203

9.1. Elementary Transformations of a System of Linear Equations 203
9.2. Gaussian Elimination 205
Exercises to Chapter 9 216

Chapter 10. VECTOR SPACES 218

10.1. Arithmetic Vectors and Operations with Them 218
10.2. Linear Dependence of Vectors 222
10.3. Properties of Linear Dependence 227
10.4. Bases in Space R^n 230
10.5. Abstract Vector Spaces 233
Exercises to Chapter 10 239

Chapter 11. MATRICES 241

11.1. Rank of a Matrix 242
11.2. Practical Method for Finding the Rank of a Matrix 245
11.3. Theorem on the Rank of a Matrix 247
11.4. Rank of a Matrix and Systems of Linear Equations 249
11.5. Operations with Matrices 250
11.6. Properties of Matrix Multiplication 253
11.7. Inverse of a Matrix 255
11.8. Systems of Linear Equations in Matrix Form 259
Exercises to Chapter 11 263

Chapter 12. EUCLIDEAN VECTOR SPACES 266

12.1. Scalar Product. Euclidean Vector Spaces 266
12.2. Simple Metric Concepts in Euclidean Vector Spaces 269
12.3. Orthogonal System of Vectors. Orthogonal Basis 271
12.4. Orthonormal Basis 274
Exercises to Chapter 12 275

Chapter 13. AFFINE SPACES. CONVEX SETS AND POLY­HEDRONS 277

13.1. The Affine Space A^n 277
13.2. Simple Geometric Figures in A^n 279
13.3. Convex Sets of Points in A^n. Convex Polyhedrons 282
Exercises to Chapter 13 286

Index 288

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Problems On The Equations Of Mathematical Physics – Smirnov

Posted on July 30, 2020 by The Mitr

In this post we will see the book Problems On The Equations Of Mathematical Physics by M. M. Smirnov.

smir-0001
About the book

The aim of the present collection of problems is to illustrate the theory of partial differential equations as it is given in various textbooks.
The problems of this collection are divided in three paragraphs. The first paragraph contains introductory excercizes on the reduction of partial differential equations to canonical form. The second paragraph deals mainly with problems, the general solution of which can be formed by means of the method of characteristics e.g. Cauchy’s (or also Goursat’s) and mixed problems.

In the third paragraph the most important method is presented, namely the separation of variables. This is done for mixed problems (for hyperbolic and parabolic equations) and for boundary value problems (elliptic equations).

The solutions of all excercizes are given. Most of the problems are accompanied by an explanation of the solution method used: so that this problem book can also be used for self study.

The book was published by Nordoff in 1967 and was translated from the Russian by W. I. M. Wils.

The Internet Archive Link

CONTENTS
Part I. Problems 7

1. Reduction of partial differential equations with two independent variables to canonical form 7

1. Equations of hyperbolic type 7
2. Equations of parabolic type 8
3. Equations of elliptic type 8

2. The method of characteristics 9
3. Separation of variables 23

1. Equations of hyperbolic type 26
2. Equations of parabolic type 33
3. Equations of elliptic type 38

Part.II. Solutions and hints 43

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Folktales of the Soviet Union – The Baltic Republics

Posted on July 18, 2020 by The Mitr

In this post. we will see the book Folktales of the Soviet Union – The Baltic Republics compiled by Robert Babloyan and Mirlena Shumskaya.

About the book

The book is a collection of folk tales from the Baltic region. The Soviet Baltic republics, Latvia, Lithuania and Lstonia, are closely bound up with the sea. And the people who live there are what you would expect sea tolk to be, tall, tough and strong. This is a land of fishermen, ship-builders and farmers. Lach republic also has a highly developed industry. The radios, transmitters, etc. made in Latvia and Estonia are known throughout the world.

Baltic folk tales have absorbed much of the world around them, of course. They seem to smell of dry wood, resin, sea and forest. Many of the characters in the old songs and legends resemble the people of today who live in these parts: the wise fishermen, the skilled craftsmen, the sturdy, brave young men and the gentle, faithful women. The forces of evil in these stories take the form of terrible monsters, catastrophies and disasters which the heroes have to combat and overcome.

The book was translated from the Russian by and was published by Raduga in 1986.

The book has some amazing full page paintings, done by three different artists one for each set of the tales: Gunars Krollis for Lativia, Jaan Tammsaar for Estonia and Vange Gedmantaitc-Galkuviene for Lithuania. The book was designed by Mikhail Anikst.

 

 

The Internet Archive Link

Contents

 

LATVIAN FOLK TALES

The White Deer 6

The Sea Bride 26

ESTONIAN FOLK TALES

The King of the Mushrooms 48

The Forbidden Knot 72

LITHUANIAN FOLK TALE

The Sun Princess and the Prince 96

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Strength of Materials – Kinasoshvili

Posted on June 19, 2020 by The Mitr

In this post, we will see the book Strength of Materials by R. Kinasoshvili.

Kinasoshvili - Strength of Materials - Mir - 1978_0000

A book covering various aspects of strength of materials. The topics covered are succinct and with basic definitions and requisite mathematics. Each chapter has a set of “Check Questions” in the end.

The development of the foundations for the design of structural members is the subject matter of a science called the strength of ma­terials.

Without knowledge of the fundamentals of strength of materials it is impossible to construct even a simple machine satisfying the technical requirements placed on each construction.

The book was translated from the Russian by M. Konyaeva and was published by Mir in 1978 (second print).

Many thanks to Akbar Azimi for the raw scans.

The Internet Archive Link

Contents

Introduction. 13

1. Science of Strength of Materials. Concepts of Deformation and of an Elastic Body 13
2. Classification of External Forces 16
3. Basic Types of Deformation 17
4. Method of Sections. Stress 19
5. Check Questions 22

Chapter II. Tension and Compression 23
6. Longitudinal Strain. Stress. Hooke’s Law 23
7. Lateral Strain in Tension and Compression 27
8. Experimental Study of Materials in Tension 29
9. Tension Test Diagram and Its Characteristic Points 31
10. Strain Hardening 38
11. Strain Energy in Tension 40
12. Compression Testing 42
13. Harness 43
14. Check Questions 45

Chapter III. Strength Design for Tension and Compression 47

15. Allowable Stress and Selection of Sections 47
16. Effect of Gravity in Tension and Compression 54
17. Stepped Rod 57
18 Statically Indeterminate Problems in Tension and Compression 60
19. Stresses Due to Temperature Changes 65
20. Design of Statically Indeterminate Systems Based on Allowable Loads, and Limit Design 68
21. Check Questions 74

Chapter IV. Combined Stresses

22. Stresses on Inclined Sections Under Axial Tension or Compression
23. Concept of Principal Stresses
24. Stresses on Inclined Sections Under Tension (Compression) in Two Mutually Perpendicular Directions 79
25. Determination of Principal Stresses 81
26. Strains Under Tension or Compression in Two Mutually Perpendi­cular Directions. Strain Energy 84
27. Strength Theories 87
28. Design of Thin-Walled Vessels 94
29. Check Questions 98

Chapter V. Shear 99
30. Concept of Shear. Stresses in Shear. Hooke’s Law in Shear 99
31. Pure Shear in a Rod Subjected to Tension and Compression in Two Mutually Perpendicular D irections 101
32. Relation Between Moduli of Elasticity E and G 102
33. Allowable Stress in Shear 104
34. Crushing 106
35. Examples of Design for Shear andCrushing. 107
36. Design of Welded Joints 111
37. Check Questions. 114

Chapter VI. Torsion 116

38. Construction of Twisting Moment Diagrams. Relation Between Torque. Power and Number of Revolutions 116
39. Determination of Stresses and Strains in a Circular Bar Subjected to Torsion 121
40. Polar Moment of Inertia and Section Modulus of a Circle and a Cir­cular Ring 126
41. Design Equations in Torsion 128
42. Elements of Design of Bars of Rectangular Section for Torsional Loads 136
43. Potential Energy in Torsion 139
44. Design of Closely Coiled Helical Springs 140
45. Design of Shafts Based on Allowable Loads 142
46. Check Questions 144

Chapter VII. Static Moments, Centroids and Moments of Inertia of Plane Figures 145

47. Static Moments of Plane Figures 145
48. Moments of Inertia of Plane Figures 148
49. Transformation Formulas for Moments of Inertia in the Case of Pa­rallel Transfer of Axes 149
50. Moments of Inertia of Some Simple Figures 151
51. Determination of Moments of Inertia of Figures Composed of Simple Figures 155
52. Transformation Formulas for Moments of Inertia in the Case of Rotation of Axes 157
53. Concept of Principal Axes of Inertia and Determination of Their Position 160
54. Determination of Principal Moments of Inertia 163
55. Check Questions 167
Chapter VIII. Bending of a Straight Rod, Bending Moment and Shearing Force 168

56. General Considerations 168
57 Supports and Reactions at Supports of Beams 171
58. Determination of Reactions at Supports of Beam 173
59 Shearing Force and Bending Moment 176
60. Relations Between Load Intensity, Shearing Force and Bending Moment 178
61. Construction of Bending Moment and Shearing Force Diagram? 179
62. Check Questions 197

Chapter IX. Stresses in Bending and Design of Beams for Strength 198

63. Determination of Normal Stresses in Bending 198
64. Section Moduli for Common Sections 198
65. Design Flexure Formulas. Examples of Designing Beams 204
66. Shearing Stresses in a Beam of Rectangular Section. Jourawski’s Formula 211
67. Shearing Stresses in an I-Beam 216
68. Verification of the Strength of a Beam on the Basis of Principal Stresses 218
69. Design of Beams Based on Allowable Loads, and Limit Design 221
70. Check Questions 224

Chapter X The Elastic Curve of a Beam 226

71. The Elastic Curve of a Beam 226
72 Derivation of the Generalized Equation of the Elastic Curve 230
73. Special Cases of Determining Displacements of Beams from the Ge­neralized Equation of the Elastic Curve 233
74. Mohr’s Method and Vereshchagin’s Rule 241
75. Beams of Uniform Resistance to Bending 246
76. Check Questions 252

Chapter XI. Statically Indeterminate Beams 253

77. Concept of Statically Indeterminate Beams 253
78. A Beam Fixed at One End and Simply Supported at the Other 253
79. A Beam with Both Ends Fixed 259
80. A Beam on Three Supports 263
81. Check Questions 268

Chapter XII Complex Resistance 269

82. Oblique Bending 269
83. Bending Combined with Tension or Compression 276
84. Eccentric Compression 278
85. The General Case of Eccentric Compression or Tension. 279
86. Concept of Core of Section. 282
87. Combined Bending and Torsion. 284
88. Combined Torsion and Tension or Compression 290
89. Check Questions 291
Chapter XIII. Buckling 292

90. Concept of Buckling. 292
91. Euler’s Formulas 294
92. Limitations of Euler’s Formulae able for Column Design 298
93. Examples of Design for Buckling Strength. 300
94. Check Questions. 306

Chapter XIV. Strength Under Dynamic and Repeated Loading 307

95. Concepts of Dynamic and Repeated Loading 307
97. The Stress and Strain in a Rod Subjected to Impact Loading 308
96. Design of a Uniformly 310
98. Impact Testing of Metals 313
99. Fatigue of Metals 314
100. Fatigue Testing of Materials 317
101. Endurance Limit for Fluctuating Stress Cycle 320
102. Effect of Overall Dimensions of Parts on Endurance Limit 321
103. Strength Design for Completely Reversed Stresses 323
104. Determination of Factor of Safety in the Case of Fluctuating Stresses 326
105. Construction of Approximate Fatigue Strength Diagram and Deter­mination of Factor of Safety from It 328
106. Determination of Factor of Safety in the Case of Combined Varying 336 Stresses 336
107. Examples of Design for Varying Stresses 336
108. Improvement of Fatigue Strength 338
109. Check Questions 341

Appendices 343
Index 356

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Manual of the Theory of Elasticity – Rekach

Posted on June 18, 2020 by The Mitr

In this post, we will see the book Manual of the Theory of Elasticity by V. G. Rekach.

Rekach - Manual of the Theory of Elasticity - Mir - 1979_0000

About the book

This book is designed to be used as an aid to solving elasticity problems in college and university courses in engineering.
The book covers all subjects of the mathematical theory of elasticity. It contains material which forms the basis for structural analysis and design. Numerous problems illustrate the text and somewhat complete it. Along with classical problems, they include cases of practical significance.
The author does not emphasize any particular procedure of solution, but instead considerable emphasis is placed on the solution of problems by the use of various methods. Most of the problems are worked out and those which are left as an exercise to the student are provided with answers or references to the original works.

About the author

Professor Vladimir Germanovich Rekach, D.Sc., is the Head of the Department of Strength of Materials at the Patrice Lumumba Peoples’ Friendship University in Moscow.

His main scientific interests are structural design, analysis of curved bars and vibration problems. The title of his doctoral thesis was “The Analysis of Spherical Shells”. He is the author of 28 articles and 3 books (3 as coauthor).

The book was translated from the Russian by M. Konyaeva and was published by Mir in 1979.

Many thanks to Akbar Azimi for the raw scans.

The Internet Archive Link

Note: There may be warping in some pages.

CONTENTS

Notation

Chapter 1 Theory of Stress 9

I. Static and Dynamic Equilibrium Equations. 9
II. Surface Conditions. 12
III. State of Stress at a Point Problems. 13
III. Cylindrical Co-ordinates. 15
IV. Spherical Co-ordinates.
Problems. 15

Chapter 2 Theory of Strain 24

I. Strain Equations in Orthogonal Co-ordinates 24
II. State of Strain at a Point 28
III. Cesaro’s Formulas 29
Problems 30

Chapter 3 Basic Equations of the Theory of Elasticity and Their Solution or Special Cases 40

I. Orthogonal Curvilinear Co-ordinates 40
II. Rectangular Co-ordinates 41
III. Cylindrical Co-ordinates 43
IV. Spherical Co-ordinates 44
Problems 46

Chapter 4 General Solutions of the Basic Equations of the Theory of Elasti­city. Solution or Three-dimensional Problems 66

I. Harmonic Equation (Laplace’s ) 66
II. Biharmonic Equation 66
III. Boundary Value Problems for the Harmonic and Biharmonic Equations 72
IV. Various Forms of the General Solutions of Lame’s Equations 79
Problems 83

Chapter 5 Plane Problem in Rectangular Co-ordinates 106

I. Plane Stress 106
II. Plane Strain 108
III. Solutions of Basic Equations 109
Problems 119

Chapter 6 Plane Problem in Polar Co-ordinates. 151

I. Plane Stress 153
II. Plane Strain 153
III. Solution of Basic Equations 153
Problems 158

Chapter 7 Torsion of Prismatic and Cylindrical Bars 184

I. Pure Torsion of Bars of Constant Section 184
II. Pure Torsion of Circular Bars (Shafts) of Variable Section 187
Problems 194

Chapter 8 Thermal Problem 210

I. Steady-state Thermal Process 210
II. Transient Thermal Process 216
Problems 217

Chapter 9 Contact Problem. 236

I. The action of punches on an Elastic Half-plane 236
II. The Action of Punches on an Elastic Half-space 239
III. Contact Between Two Elastic Bodies 240
Problems 240

Chapter 10 Dynamic Problem. 267

I. Simple Harmonic Motion 267
II. Propagation of Volume Waves in an Elastic Isotropic Medium 269
III. Wave propagation over the surface of an elastic isotropic body 272
IV. Excitation of Elastic Waves by Body Forces 275
VI. Deformation of solids Under Centrifugal Forces 276
VI. Plane Dynamic Problems 277
VII. Thermodynamic Problem 281
Problems 283

References 302
Author Index 308
Subject Index 310

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