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MECHANICS OF STRUCTURES VOL. I
[STRENGTH OF MATERIALS]
by

Dr. H. J. Shah
and
S. B. Junnarkar

This standard text-book alongwith its companion Vol. II is designed to cover the complete syllabi of the subjects of Strength of Materials and Theory and Analysis of Structures.
After the most comprehensive revision of twenty-sixth edition, the errors which had inadvertently crept-in, in the subject matter and also in figures have been rectified in this twenty-seventh edition. A few more worked examples and also some new figures have been added to enhance the utility of the book.

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 992 + 20 pages, it now comprise the following:

* 915
* 610
* 715
*   33
Neatly drawn figures
Fully illustrated solved examples
Unsolved examples with answers at the end of chapters
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. and Engineering Service Examinations. It should also prove of great interest and practical use to the practising engineers.
Price : Rs. 290-00 $ 40-00 £ 25-00
Edition : Twenty-Seventh Revised and Enlarged Edition : 2008
ISBN : 978-81-85594-67-5
Book Size : 170 mm × 240 mm
Binding : Paperback with Four Colour Jacket Cover
Pages : 992 + 20
Next>>

CONTENTS

Chapter 1   : SIMPLE STRESS

Chapter 2   : SIMPLE STRAIN

Chapter 3   : STATICALLY I NDETERMINATE MEMBERS

Chapter 4   : THERMAL STRESSES AND STRAINS

Chapter 5   : STRESSES ON INCLINED PLANES

Chapter 6   : COMBINED STRESSES

Chapter 7   : MOHR'S CIRCLE METHOD

Chapter 8   : IMPACT OR SHOCK LOADING : STRAIN ENERGY

Chapter 9   : TESTING OF MATERIALS–I

Chapter 10 : SHEAR FORCES AND BENDING MOMENTS – I

Chapter 11 : SHEAR FORCES AND BENDING MOMENTS – II

Chapter 12 : CENTROIDS OF LINES AND AREAS

Chapter 13 : AREA MOMENTS OF INERTIA

Chapter 14 : BENDING STRESSES IN BEAMS

Chapter 15 : SHEAR STRESSES IN BEAMS

Chapter 16 : DEFLECTIONS I

Chapter 17 : DEFLECTIONS II

Chapter 18 : FIXED BEAMS

Chapter 19 : CONTINUOUS BEAMS

Chapter 20 : COMPOSITE BEAMS

Chapter 21 : REINFORCED CONCRETE BEAMS

Chapter 22 : DIRECT AND BENDING STRESSES

Chapter 23 : SHAFTS AND SPRINGS IN TORSION

Chapter 24 : TESTING OF MATERIALS– II 780-798

Chapter 25 : COLUMNS AND STRUTS OF UNIFORM SECTION

Chapter 26 : RADIAL PRESSURE - CYLINDRICAL AND SPHERICAL SHELLS

Chapter 27 : RIVERTED AND BOLTED JOINTS

Chapter 28 : WELDED JOINTS

Chapter 29 : SHEAR CENTRE

Chapter 30 : UNSYMETRICAL BENDING

Chapter 31 : BENDING STRESES IN CURVED BARS
Next>>

DETAILED CONTENTS

Chapter 1 : SIMPLE STRESS

1-1
1-2
1-3
1-4
1-5
1-6
1-7
1-8
1-9
1-10
1-11
1-12
1-13
1-14
1-15
1-16
1-17
1-18
Introduction to Mechanics of deformable bodies
Loading a bar
Principle of superposition
Classification of loaded bar
Gradual, sudden, impact and shock loading
Tension and compression
Resistance of an axially loaded bar
Concept of a stress
Normal stresses
Simple stress
Design of an axially loaded member
Non-prismatic bars
Axial force diagram
Rotating rings
Shear
Shear stress
Pure shear
Bearing stress
Examples

Chapter 2 : SIMPLE STRAIN

2-1
2-2
2-3
2-4
2-5
2-6
2-7
2-8
2-9
2-10
2-11
2-12
2-13
2-14
Introduction
Linear strain
Shear strain
Elasticity
Hooke’s law
Axial and shear deformations
Bars of varying section
Bars of uniformly varying cross-section
A bar subjected to self-weight
Bar of uniform strength
Bars subjected to uniformly varying loads
Pin-jointed determinate frames
Lateral strain: Poisson’s ratio
Biaxial and triaxial deformations
Examples
Chapter 3 : STATICALLY INDETERMINATE MEMBER
3-1
3-2
3-3
3-4
3-5
Introduction
Composite bars
Equivalent modulus of a composite bar
Pin-jointed bars
Stresses due to lack of fit
Examples
Chapter 4 : THERMAL STRESSES AND STRAINS
4-1
4-2
4-3
4-4
4-5
4-6
4-7
4-8
Introduction
General
Coefficient of linear expansion
Stresses due to changes of temperature
Compound bar
Composite bar
Bars of uniformly varying cross-section
Shrinking-on
Examples
Chapter 5 : STRESSES ON INCLINED PLANES
5-1
5-2
5-3
5-4
5-5
5-6
5-7
Introduction
Stresses on inclined plane of a bar under tension or compression
State of pure shear: Stresses on inclined planes
Linear strain of the diagonal BD
Relation between the Moduli of Elasticity and Rigidity for a given material
Bulk Modulus
Relation between three elastic constants
Examples

Chapter 6 : COMBINED STRESSES

6-1
6-2
6-3
6-4
6-5
6-6
Introduction
Stress components
Element subjected to general plane stress system
Principal planes and principal stresses
Planes carrying maximum shear stress
Element subjected to principal stresses
Examples

Chapter 7 : MOHR'S CIRCLE METHOD

7-1 Mohr’s circle method
Sign conventions
Rules and construction
Examples

Chapter 8 : IMPACT OR SHOCK LOADING : STRAIN ENERGY

8-1

8-2
8-3
8-4

8-5
8-6
8-7
8-8
 
Introduction
Axial Loading
Strain-Energy: Resistance-deformation diagram
Gradual, sudden, impact and shock loading
Limitations
Shear Loading
Shear Resilience
Strain-energy in terms of principal stresses
Relation between the elastic moduli
Criteria for design
Examples

Chapter 9 : TESTING OF MATERIALS – I

9-1
9-2
9-3

9-4
9-5
9-6
9-7
9-8
9-9
9-10
9-11
9-12

9-13
9-14
9-15

9-16
9-17
9-18
9-19

Introduction
Metals and alloys
Testing machines
Tension Tests
The complete tensile test
Stress–strain diagram
Physical properties of materials
Modulus of elasticity
Yield point by the offset method: Proof stress
Secant modulus
Specific modulus of elasticity
Resilience
Toughness
Compression tests
The compression test
Compression tests on wood and concrete
Permissible stress: Factor of safety
Stress concentration
Stress concentration
Stress concentration factor
Importance of stress concentration under different loads
Elastoplastic materials: Limit design
Examples

Chapter 10 : SHEAR FORCES AND BENDING MOMENTS – I

10-1
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
Introductory
Types of beams
Actions on the cross-section of a beam
Sign conventions
Shear Force (S.F.) and Bending Moment (B.M.) diagrams
Cantilevers
Simply supported beams
Relation between the S.F. and the B.M. at a cross-section of a beam
Overhanging beams
Examples

Chapter 11 : SHEAR FORCES AND BENDING MOMENTS – II

11-1
11-2
11-3
11-4
11-5
11-6
11-7
11-8
11-9
11-10
11-11
Introduction
S.F. and B.M. diagrams for beams with variable loading
Beams with end couples
Beams with an intermediate couple
Supports offering pressures
Cantilever structures
Principle of superposition
Moment and loading diagrams drawn from shear diagrams
Beams subjected to inclined loads
Inclined beams
Graphical methods
Examples

Chapter 12 : CENTROIDS OF LINES AND AREAS

12-1

12-2
12-3
12-4
12-5
12-6
12-7
12-8
Introduction
Centroids
First moment of an element of line and area
First moment of a line segment and a finite area
Centroids of lines and areas
Centroids of symmetrical lines and areas
Centroids by integration
Summary of centroids of common figures
Centroids of composite areas
Examples

Chapter 13 : AREA MOMENTS OF INERTIA

13-1
13-2
13-3
13-4
13-5
13-6
13-7
13-8
13-9
13-10
13-11
13-12
13-13
Introduction
Definitions
Radius of gyration
Parallel axis theorem
Moment of inertia by integration
Moment of inertia of composite areas
Graphical method for first and second moments of a plane section about an axis in its plane
Product of inertia
Moment of inertia with respect to inclined axes: Rotation of axes
Principal moments of inertia: Principal axes
Mohr’s circle for moments of inertia
The Mohr Land circle of inertia
Momental ellipse
Examples

Chapter 14 : BENDING STRESSES IN BEAMS

14-1
14-2
14-3
14-4
14-5
14-6
14-7
14-8
14-9
14-10
14-11
14-12
14-13
Simple bending
Theory of simple bending
Modulus of section or section modulus
Application of bending equation
Modulus of rupture
Beams of rectangular section
Strength of sections
Economic sections
Unsymmetrical and built-up sections
The Modulus figure
Beam of uniform strength
Strain energy in flexure
Laminated springs
Examples

Chapter 15 : SHEAR STRESSES IN BEAMS

15-1
15-2
15-3
15-4
15-5
15-6
15-7
15-8
15-9
15-10
15-11
15-12
Resistance to shear force: shear stresses
Shear flow
Shear stresses in beams of rectangular and circular sections
Shear stresses in beams of I-section
Assumptions and limitations of the shear stresses formula
Shear stresses in built-up sections
Beam of square section with one diagonal horizontal
Design for flexure and shear
Principal stresses and Principal planes at a point in a beam section
Curves of principal stresses
Principal stresses in an I-section
Strain-energy due to shear in a beam
Examples

Chapter 16 : DEFLECTIONS I

16-1
16-2
16-3
16-4
16-5
16-6
16-7
16-8
16-9
16-10
16-11
16-12
16-13
16-14
16-15
16-16
16-17
16-18

Introductory
Use of deflection computations
Bending into a circular arc
Relation between slope, deflection and radius of curvature
Axes of reference
Limitations of the equation of elastic line
Computations from basic equation
Using the principle of superposition
Cantilevers
Propped cantilevers
Simply supported beams
Relation between maximum stress and maximum deflection
Propped beams — Rigid and elastic props
Simply supported beam with an eccentric load W
Non-prismatic beams
Macaulay’s method
Variable loading on a beam of uniform section
Closure
Examples

Chapter 17 : DEFLECTIONS II

17-1
17-2
17-3
17-4
17-5
17-6
17-7

Moment area method
Method of elastic weights
Conjugate beam method
Impact loading on beams
Deflection by strain energy
Beams of variable section
Graphical methods
Examples

Chapter 18 : FIXED BEAMS

18-1

18-2
18-3
18-4

18-5
18-6
18-7
18-8
18-9
18-10
18-11
18-12
18-13

Introductory
Indeterminate Structures
Determinateness of the structure
Use of indeterminate structures
Methods of analysis
Fixed Beams
Fixed, built in, restrained or encastré beams
Method of superposition
Double integration method
Solution by moment area method
Sinking of support
Rotation of support
Review of deflection methods
Degree of restraint at supports for maximum bending moment to be as small as possible

Beams with related deflections
Examples

Chapter 19 : CONTINUOUS BEAMS

19-1
19-2
19-3

ontinuous beams
The three moment theorem
Support settlement
Examples

Chapter 20 : COMPOSITE BEAMS

20-1
20-2
20-3
20-4

Introductory
Flitched beams
Equivalent section: Transformed area method
Deflection of composite beams
Examples

Chapter 21 : REINFORCED CONCRETE BEAMS

21-1
21-2
21-3
21-4

21-5
21-6
21-7
21-8
21-9
21-10
21-11

21-12
21-13
21-14

Reinforced concrete
Compressive strength of concrete
Steel as reinforcement
Types of reinforcement
Mild steel bars
High yield strength deformed (HYSD) bars
Design of a beam
Classification of beams
Balanced, Under-reinforced and Over-reinforced design
Permissible stresses
Assumptions for flexure design
Singly Reinforced Beams
Derivation of formulae for balanced design
Transformed area method
Types of problems
Examples

Chapter 22 : DIRECT AND BENDING STRESSES

22-1
22-2
22-3
22-4

22-5
22-6
22-7
22-8
22-9

Introduction
Combined axial and flexural load
Biaxial loading
Eccentric loading
Limit of eccentricity
Double eccentricity
Wind pressure on walls and chimney shafts
Coefficient of wind-resistance
Water and earth pressure on walls
Examples

Chapter 23 : SHAFTS AND SPRINGS IN TORSION

23-1
23-2
23-3
23-4

23-5
23-6
23-7
23-8
23-9
23-10
23-11
23-12
23-13
23-14
23-15

Introduction
Assumptions
Derivation of torsion formulae
Power transmitted: design of shafts
Torque diagrams
Stepped shaft
Composite shafts and tapered shaft
Keys and couplings
Combined bending and torsion
Combined bending and torsion and axial thrust
Torsion resilience of shafts
Shafts of non-circular sections subjected to torsion
Closely coiled helical springs: Axial loading
Closely coiled helical springs: Axial moment
Open coiled helical springs
Examples

Chapter 24 : TESTING OF MATERIALS - II

24-1
24-2
24-3
24-4

24-5
24-6
24-7
24-8
24-9
24-10
24-11
24-12
24-13

Flexure tests
Important flexure tests
Shear tests
Hardness
Brinell hardness test
Rockwell hardness test
Impact tests
Fatigue
Stress spectrum
Fatigue tests
The S-N curve
Endurance limit or fatigue limit
Fatigue failure
Examples

Chapter 25 : COLUMNS AND STRUTS OF UNIFORM SECTION

25-1
25-2
25-3
25-4
25-5
25-6
25-7

25-8
25-9
25-10
25-11
25-12
25-13

Axial loading
Very long columns — Euler’s formula
Limitations of Euler’s formulae
Intermediate columns
Rankine’s formula
Design of struts and columns
Other empirical formulae
Johnson’s Parabolic formula, Straight line formula, Tetmajer’s formula, Gordon’s formula
Long columns under eccentric loading
Prof. Perry’s formula
Initial curvature on long column: Axial loading
Perry-Robertson formula
B.I.S. formula
Struts with transverse loading
Examples

Chapter 26 : RADIAL PRESSURE – CYLINDRICAL AND SPHERICAL SHELLS

26-1
26-2
26-3
26-4

26-5
26-6
26-7
26-8
26-9

Thin seamless cylindrical shells
Riveted boiler shells
Thin spherical shell
Wire-bound thin pipes or shells
Thick cylinders: Lami’s formulae
Design of thick cylindrical shells
Compound cylinders
Shrink-fit allowance: Initial difference of radii at junction
Thick spherical shells
Examples

Chapter 27 : RIVETED AND BOLTED JOINTS

27-1
27-2
27-3
27-4

27-5
27-6
27-7
27-8
27-9
27-10
27-11
27-12
27-13
27-14
27-15


Introductory
Rivets and riveting
Bolts and bolting
Bearing and friction type connections
Types of riveted and bolted joints
Definitions
Possible ways of failure of bearing type connection
Strength of a bearing type connection
Fastener value
Design of a riveted/bolted joint
Riveted joints in boiler shells
Structural joints
Diamond fastening
Pitch of rivets in built-up girders
Eccentric loading on rivets
Examples

Chapter 28 : WELDED JOINTS

28-1
28-2
28-3
28-4
Introductory
Forms of welded joints
Strength of a welded joint
Eccentric loading on welded joints
Examples

Chapter 29 : SHEAR CENTRE

29-1
29-2

Shear flow in thin-walled open sections
Shear centre
Examples

Chapter 30 : UNSYMMETRICAL BENDING

30-1
30-2
30-3
30-4

Introductory
Unsymmetrical bending
Bending stress through product of inertia
The Z-polygon
Examples

Chapter 31 : BENDING STRESES IN CURVED BARS

31-1
31-2
31-3
31-4
31-5
31-6
31-7
31-8
31-9
31-10
Pure bending of curved bars
Stresses in beams of large initial curvature
Rectangular cross-section
Trapezoidal cross-section
Inverted T-section
I-section
Circular cross-section
Crane hooks
Stresses in curved bars of small initial curvature
Piston rings
Examples