# Mechanics of Structures Vol. I By Dr. H. J. Shah, S. B. Junnarkar

₹382.50

By Dr. **H. J. Shah,** **S. B. Junnarkar**

32^{nd} Edition 2016

ISBN : 9789385039270

Binding : Paperback

Pages : 988 + 20 = 1008

Size (mm) : 235 × 42 × 170

Weight : 1255 g

## Description

This standard text-book along with its companion Vol. II is designed to cover the complete syllabi of *the subjects of Strength of Materials and Theory and Analysis of Structures.*

*The outline of the book is:*

**Chapters 1** to **8** consist the study of Stresses and Strains

**Chapters 9** and **24** discuss the Testing of Materials

**Chapters 10** and **11** Shear Forces and Bending Moments

**Chapters 12** and **13** Properties of Lines and Areas

**Chapters 14** and **15** Stresses in Beams

**Chapters 16** and **17** Deflections

**Chapters 18** and **19** Analysis of Fixed and Continuous Beams

**Chapters 20** and **21** Composite and Reinforced Concrete Beams

**Chapters 22** Direct and Bending Stresses and Chapter 23 Torsion

**Chapters 25** Columns and Struts of Uniform Section

**Chapters 26** Cylindrical and Spherical Shells

**Chapters 27** and **28** Riveted, Bolted and Welded Joints

**Chapters 29, 30** and **31** consist of special topics such as Shear Centre, Unsymmetrical Bending and Bending Stresses in Curved Bars.

*The book within its 971 + 20 pages, it now comprise the following:*

*** 900 Neatly drawn figures**

*** 600 Fully illustrated solved examples**

*** 715 Unsolved examples with answers at the end of chapters**

*** 33 Useful tables**

It is hoped that this edition should prove extremely useful to students of Engineering reading for Degree Examinations of all the Universities of India, Diploma Examinations conducted by various Boards of Technical Education, Certificate Courses, as well as for the U.P.S.C., G.A.T.E., A.M.I.E., I.E.S and other similar competitive and professional examinations. It should also prove of great interest and practical use to the practising engineers.

## Additional information

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Old ISBN | 8185594066, 8185594252, 8185594430, 9788185594675, 9789380358291, 9789380358659, 9789380358994 |

## Content

1 : SIMPLE STRESS

2 : SIMPLE STRAIN

3 : STATICALLY INDETERMINATE MEMBERS

4 : THERMAL STRESSES AND STRAINS

5 : STRESSES ON INCLINED PLANES

6 : COMBINED STRESSES

7 : MOHR’S CIRCLE METHOD

8 : IMPACT OR SHOCK LOADING: STRAIN-ENERGY

9 : TESTING OF MATERIALS – I

10 : SHEAR FORCES AND BENDING MOMENTS – I

11 : SHEAR FORCES AND BENDING MOMENTS – II

12 : CENTROIDS OF LINES AND AREAS

13 : AREA MOMENTS OF INERTIA

14 : BENDING STRESSES IN BEAMS

15 : SHEAR STRESSES IN BEAMS

16 : DEFLECTIONS I

17 : DEFLECTIONS II

18 : FIXED BEAMS

19 : CONTINUOUS BEAMS

20 : COMPOSITE BEAMS

21 : REINFORCED CONCRETE BEAMS

22 : DIRECT AND BENDING STRESSES

23 : SHAFTS AND SPRINGS IN TORSION

24 : TESTING OF MATERIALS – II

25 : COLUMNS AND STRUTS OF UNIFORM SECTION

26 : RADIAL PRESSURE

– CYLINDRICAL AND SPHERICAL SHELLS

27 : RIVETED AND BOLTED JOINTS

28 : WELDED JOINTS

29 : SHEAR CENTRE

30 : UNSYMMETRICAL BENDING

31 : BENDING STRESSES IN CURVED BARS

INDEX

## Detailed Content

**Chapter 1 SIMPLE STRESS**

1-1. Introduction to Mechanics of deformable bodies

1-2. Loading a bar

1-3. Principle of superposition

1-4. Classification of loaded bar

1-5. Gradual, sudden, impact and shock loading

1-6. Tension and compression

1-7. Resistance of an axially loaded bar

1-8. Concept of a stress

1-9. Normal stresses

1-10. Simple stress

1-11. Design of an axially loaded member

1-12. Non-prismatic bars

1-13. Axial force diagram

1-14. Rotating rings

1-15 Shear

1-16. Shear stress

1-17. Pure shear

1-18. Bearing stress

Examples I

**Chapter 2 SIMPLE STRAIN**

2-1 Introduction

2-2. Linear strain

2-3. Shear strain

2-4. Elasticity

2-5. Hooke’s law

2-6. Axial and shear deformations

2-7. Bars of varying section

2-8. Bars of uniformly varying cross-section

2-9. A bar subjected to self-weight

2-10. Bar of uniform strength

2-11. Bars subjected to uniformly varying loads

2-12. Pin-jointed determinate frames

2-13. Lateral strain: Poisson’s ratio

2-14. Biaxial and triaxial deformations

Examples II

**Chapter 3 STATICALLY INDETERMINATE MEMBERS**

3-1. Introduction

3-2. Composite bars

3-3. Equivalent modulus of a composite bar

3-4. Pin-jointed bars

3-5. Stresses due to lack of fit

Examples III

**Chapter 4 THERMAL STRESSES AND STRAINS**

4-1. Introduction

4-2. General

4-3. Coefficient of linear expansion

4-4. Stresses due to changes of temperature

4-5. Compound bar

4-6. Composite bar

4-7. Bars of uniformly varying cross-section

4-8. Shrinking-on

Examples IV

**Chapter 5 STRESSES ON INCLINED PLANES**

5-1. Introduction

5-2. Stresses on inclined plane of a bar under tension or compression

5-3. State of pure shear: Stresses on inclined planes

5-4. Linear strain of the diagonal BD

5-5. Relation between the Moduli of Elasticity and Rigidity for a

given material

5-6. Bulk Modulus

5-7. Relation between three elastic constants

Examples V

**Chapter 6 COMBINED STRESSES**

6-1. Introduction

6-2. Stress components

6-3. Element subjected to general plane stress system

6-4. Principal planes and principal stresses

6-5. Planes carrying maximum shear stress

6-6. Element subjected to principal stresses

Examples VI

**Chapter 7 MOHR’S CIRCLE METHOD**

7-1. Mohr’s circle method

Sign conventions

Rules and construction

Examples VII

**Chapter 8 IMPACT OR SHOCK LOADING: STRAIN-ENERGY**

8-1. Introductory

Axial Loading

8-2. Strain-Energy: Resistance-deformation diagram

8-3. Gradual, sudden, impact and shock loading

8-4. Limitations

Shear Loading

8-5. Shear Resilience

8-6. Strain-energy in terms of principal stresses

8-7. Relation between the elastic moduli

8-8. Criteria for design

Examples VIII

**Chapter 9 TESTING OF MATERIALS – I**

9-1. Introduction

9-2. Metals and alloys

9-3. Testing machines

Tension Tests

9-4. The complete tensile test

9-5. Stress–strain diagram

9-6. Physical properties of materials

9-7. Modulus of elasticity

9-8. Yield point by the offset method: Proof stress

9-9. Secant modulus

9-10. Specific modulus of elasticity

9-11. Resilience

9-12. Toughness

Compression tests

9-13. The compression test

9-14. Compression tests on wood and concrete

9-15. Permissible stress: Factor of safety

Stress concentration

9-16. Stress concentration

9-17. Stress concentration factor

9-18. Importance of stress concentration under different loads

9-19. Elastoplastic materials: Limit design

Examples IX

**Chapter 10 SHEAR FORCES AND BENDING MOMENTS – I**

10-1. Introductory

10-2. Types of beams

10-3. Actions on the cross-section of a beam

10-4. Sign conventions

10-5. Shear Force (S.F.) and Bending Moment (B.M.) diagrams

10-6. Cantilevers

10-7. Simply supported beams

10-8. Relation between the S.F. and the B.M. at a cross-section of

a beam

10-9. Overhanging beams

Examples X

**Chapter 11 SHEAR FORCES AND BENDING MOMENTS – II**

11-1. Introduction

11-2. S.F. and B.M. diagrams for beams with variable loading

11-3. Beams with end couples

11-4. Beams with an intermediate couple

11-5. Supports offering pressures

11-6. Cantilever structures

11-7. Principle of superposition

11-8. Moment and loading diagrams drawn from shear diagrams

11-9. Beams subjected to inclined loads

11-10. Inclined beams

11-11. Graphical methods

Examples XI

**Chapter 12 CENTROIDS OF LINES AND AREAS**

12-1. Introduction

Centroids

12-2. First moment of an element of line and area

12-3. First moment of a line segment and a finite area

12-4. Centroids of lines and areas

12-5. Centroids of symmetrical lines and areas

12-6. Centroids by integration

12-7. Summary of centroids of common figures

12-8. Centroids of composite areas

Examples XII

**Chapter 13 AREA MOMENTS OF INERTIA**

13-1. Introduction

13-2. Definitions

13-3. Radius of gyration

13-4. Parallel axis theorem

13-5. Moment of inertia by integration

13-6. Moment of inertia of composite areas

13-7. Graphical method for first and second moments of a plane

section about an axis in its plane

13-8. Product of inertia

13-9. Moment of inertia with respect to inclined axes: Rotation of

axes

13-10. Principal moments of inertia: Principal axes

13-11. Mohr’s circle for moments of inertia

13-12. The Mohr Land circle of inertia

13-13. Momental ellipse

Examples XIII

**Chapter 14 BENDING STRESSES IN BEAMS**

14-1. Simple bending

14–2. Theory of simple bending

14-3. Modulus of section or section modulus

14-4. Application of bending equation

14-5. Modulus of rupture

14-6. Beams of rectangular section

14-7. Strength of sections

14-8. Economic sections

14-9. Unsymmetrical and built-up sections

14-10. The Modulus figure

14-11. Beam of uniform strength

14-12. Strain energy in flexure

14-13. Laminated springs

Examples XIV

**Chapter 15 SHEAR STRESSES IN BEAMS**

15-1. Resistance to shear force: shear stresses

15-2. Shear flow

15-3. Shear stresses in beams of rectangular and circular sections

15-4. Shear stresses in beams of I-section

15-5. Assumptions and limitations of the shear stresses formula

15-6. Shear stresses in built-up sections

15-7. Beam of square section with one diagonal horizontal

15-8. Design for flexure and shear

15-9. Principal stresses and Principal planes at a point in a beam

section

15-11. Principal stresses in an I-section

15-12. Strain-energy due to shear in a beam

Examples XV

**Chapter 16 DEFLECTIONS I**

16-1. Introductory

16-2. Use of deflection computations

16-3. Bending into a circular arc

16-4. Relation between slope deflection and radius of curvature

16-5. Axes of reference

16-6. Limitations of the equation of elastic line

16-7. Computations from basic equation

16-8. Using the principle of superposition

16-9. Cantilevers

16-10. Propped cantilevers

16-11. Simply supported beams

16-12. Relation between maximum stress and maximum deflection

16-13. Propped beams — Rigid and elastic props

16-14. Simply supported beam with an eccentric load W

16-15. Non-prismatic beams

16-16. Macaulay’s method

16-17. Variable loading on a beam of uniform section

16-18. Closure

Examples XVI

**Chapter 17 DEFLECTIONS II**

17-1. Moment area method

17-2. Method of elastic weights

17-3. Conjugate beam method

17-4. Impact loading on beams

17-5. Deflection by strain energy

17-6. Beams of variable section

17-7. Graphical methods

Examples XVII

**Chapter 18 FIXED BEAMS**

18-1. Introductory

Indeterminate Structures

18-2. Determinateness of the structure

18-3. Use of indeterminate structures

18-4. Methods of analysis

Fixed Beams

18-5. Fixed, built in, restrained or encastré beams

18-6. Method of superposition

18-7. Double integration method

18-8. Solution by moment area method

18-9. Sinking of support

18-10. Rotation of support

18-11. Review of deflection methods

18-12. Degree of restraint at supports for maximum bending moment

to be as small as possible

18-13. Beams with related deflections

Examples XVIII

**Chapter 19 CONTINUOUS BEAMS**

19-1. Continuous beams

19-2. The three moment theorem

19-3. Support settlement

Examples XIX

**Chapter 20 COMPOSITE BEAMS**

20-1. Introductory

20-2. Flitched beams

20-3. Equivalent section: Transformed area method

20-4. Deflection of composite beams

Examples XX

**Chapter 21 REINFORCED CONCRETE BEAMS**

21-1. Reinforced concrete

21-2. Compressive strength of concrete

21-3. Steel as reinforcement

21-4. Types of reinforcement

21-5. Mild steel bars

21-6. High yield strength deformed (HYSD) bars

21-7. Design of a beam

21-8. Classification of beams

21-9. Balanced, Under-reinforced and Over-reinforced design

21-10. Permissible stresses

21-11. Assumptions for flexure design

Singly Reinforced Beams

21-12. Derivation of formulae for balanced design

21-13. Transformed area method

21-14. Types of problems

Examples XXI

**Chapter 22 DIRECT AND BENDING STRESSES**

22-1. Introduction

22-2. Combined axial and flexural load

22-3. Biaxial loading

22-4. Eccentric loading

22-5. Limit of eccentricity

22-6. Double eccentricity

22-7. Wind pressure on walls and chimney shafts

22-8. Coefficient of wind-resistance

22-9. Water and earth pressure on walls

Examples XXII

**Chapter 23 SHAFTS AND SPRINGS IN TORSION**

23-1. Introduction

23-2. Assumptions

23-3. Derivation of torsion formulae

23-4. Power transmitted: design of shafts

23-5. Torque diagrams

23-6. Stepped shaft

23-7. Composite shafts and tapered shaft

23-8. Keys and couplings

23-9. Combined bending and torsion

23-10. Combined bending and torsion and axial thrust

23-11. Torsion resilience of shafts

23-12. Shafts of non-circular sections subjected to torsion

23-13. Closely coiled helical springs: Axial loading

23-14. Closely coiled helical springs: Axial moment

23-15. Open coiled helical springs

Examples XXIII

**Chapter 24 TESTING OF MATERIALS – II**

24-1. Flexure tests

24-2. Important flexure tests

24-3. Shear tests

24-4. Hardness

24-5. Brinell hardness test

24-6. Rockwell hardness test

24-7. Impact tests

24-8 Fatigue

24-9. Stress spectrum

24-10. Fatigue tests

24-11. The S-N curve

24-12. Endurance limit or fatigue limit

24-13. Fatigue failure

Examples XXIV

**Chapter 25 COLUMNS AND STRUTS OF UNIFORM SECTION**

25-1. Axial loading

25-2. Very long columns — Euler’s formula

25-3. Limitations of Euler’s formulae

25-4. Intermediate columns

25-5. Rankine’s formula

25-6. Design of struts and columns

25-7. Other empirical formulae

25-8. Long columns under eccentric loading

25-9. Prof. Perry’s formula

25-10. Initial curvature on long column: Axial loading

25-11. Perry-Robertson formula

25-12. B.I.S. formula

25-13. Struts with transverse loading

Examples XXV

**Chapter 26 RADIAL PRESSURE – CYLINDRICAL AND**

SPHERICAL SHELLS

26-1. Thin seamless cylindrical shells

26-2. Riveted boiler shells

26-3. Thin spherical shell

26-4. Wire-bound thin pipes or shells

26-5. Thick cylinders: Lami’s formulae

26-6. Design of thick cylindrical shells

26-7. Compound cylinders

26-8. Shrink-fit allowance: Initial difference of radii at junction

26-9. Thick spherical shells

Examples XXVI

**Chapter 27 RIVETED AND BOLTED JOINTS**

27-1. Introductory

27-2. Rivets and riveting

27-3. Bolts and bolting

27-4. Bearing and friction type connections

27-5. Types of riveted and bolted joints

27-6. Definitions

27-7. Possible ways of failure of bearing type connection

27-8. Strength of a bearing type connection

27-9. Fastener value

27-10. Design of a riveted/bolted joint

27-11. Riveted joints in boiler shells

27-12. Structural joints

27-13. Diamond fastening

27-14. Pitch of rivets in built-up girders

27-15. Eccentric loading on rivets

Examples XXVII

**Chapter 28 WELDED JOINTS**

28-1. Introductory

28-2. Forms of welded joints

28-3. Strength of a welded joint

28-4. Eccentric loading on welded joints

Examples XXVIII

Chapter 29 SHEAR CENTRE

29-1. Shear flow in thin-walled open sections

29-2. Shear centre

Examples XXIX

**Chapter 30 UNSYMMETRICAL BENDING**

30-1. Introductory

30-2. Unsymmetrical bending

30-3. Bending stress through product of inertia

30-4. The Z-polygon

Examples XXX

**Chapter 31 BENDING STRESSES IN CURVED BARS**

31-1. Pure bending of curved bars

31-2. Stresses in beams of large initial curvature

31-3. Rectangular cross-section

31-4. Trapezoidal cross-section

31-5. Inverted T-section

31-6. I-section

31-7. Circular cross-section

31-8. Crane hooks

31-9. Stresses in curved bars of small initial curvature

31-10. Piston rings

Examples XXXI

**Index**

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