كتاب Strength of Materials - Mechanics of Solids
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 كتاب Strength of Materials - Mechanics of Solids

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مُساهمةموضوع: كتاب Strength of Materials - Mechanics of Solids    كتاب Strength of Materials - Mechanics of Solids  Emptyالخميس 20 أكتوبر 2022, 2:24 am

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Strength of Materials - Mechanics of Solids
R. K. Rajput
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contents)
1. Simple Stresses and Strains 1-90
U_ Classification of loads
L2 Stress
L3 Simple stress
1.4 Strain
L4J Tensile strain
1 .4.2 Compressive strain
L43 Shear strain
L4A Volumetric strain
L5 Stress and Elongation Produced in a bar
Due to itsself*weight
1.6 He Bar of Uniform Strength
L7 Stress in a Bar due to Rotation
1.8 Elongation in Case of a Taper Rod
1.9 Elongation of a Conical Bar due to its Self-weight
IIP Poisson's Ratio
1^11 Rotation Between the Elastic Modulii
LI1.1 Relation between E and C
LLL2Relationbe^ K
1.12 Stresses Induced in Compound Tics or Struts
L13 Thermal Stress andStrain
1.14 Hoop Stress
Typical Examples (For Competitive Examinations)
Highlights
Objective Type Questions
Unsolved Examples
12234444
20
20
22
22
22
27
27
28
29
35
5.1
69
70
82
83
86
2. Principal Stresses and Strains 91-145
2.1 Stresses in a Tensile Member
2.2 Stresses due to Pure Shearing
2.3 Two Mutually Perpendicular Direct Str
2.4 Principal Planes and Principal Stresses
2.5 Ttoo-dimensional Stress System (Generali
2.6 Graphical Methods
2,63.Mohrs.circle
2AL1 Mohr’s circle construction for like stresses
2.6.1.3 Mohr’s circle construction for two perpendicular
direct stresses as the state of simple shear
2.6J .4 Mohr’s circle construction for principal stresses
91
92
93
24
94
97
97
97
98
99
101
1262.7 Combined Bending and Torsion
2.8 Analysis of Strain
2.8.1 Direct strain on oblique plane due to a direct pull on a plane
2.8.2 Direct strain on a oblique plane due to shear stress.
2.8.3 Direct strain on an oblique plane due to two normal pulls
and a shear force
2.8.4 Strain on an inclined section due to two perpendicular
normal strains
2.8.5 Ellipse of strains
2.8+6 Mohr's circle of strains
2.8.7 Principal strains and strain energy due to principal stresses
2.8JJ Principal strains due to principal stresses
2.8.7.2 Strain energy due to principal stresses
Highlights
Unsolved Examples
128
131
131 .
13J
L32
135
_ 136
137
137
_ 137
138 .
~ 142 .
.. 143
3. Centroid and Moment of Inertia 146-205
3.1 Centre of Gravity of a Body
3.2 Determination Centre of Gravity
3J Centroid
14 Position of Centroids,of Plane Geumdritrui
Figures
3.5 Positions of Centre of Gravity of Regular
Solids
3.6 Centroids of Composite Areas
3:7 Centre of Gravity of Simple Solids
3.8 Area and Volumes Centroid Method
3.9 Centre of Gravity in a Few Simple Cases
Ufl Moment of Inertia (M.O.L) - Introduction
3.11 Moment of Inertia (Second moment of an area)
3.12 Theorem of Parallel Axes (or Transfer Formula)
3.13 Theorem of Perpendicular Axes
3.14 Radius of Gyration
3J5 Moment of Inertia of Laminae of Different Shapes
3.16.1 Parallel axes theorem for product of inertia
3467 Principal axes and principle moments of inertia
3.16.2.1 Determination of principal moments of inertia and
directions of principal axes
346.27 Mohr s circle for principal moments of inertia
Typical Examples (For Competitive Examinations}
Highlights
Objective Type Questions
Theoretical Questions
Unsolved Examples
146
147
147
147
148
149
150
150
151
160
161
163
163
164
164
181
182
183
183
185
19J
195
197
198
1981
4. Bending Moments and Shearing Forces 206-260
4J_ Introduction
4.2 Some Basic Definitions
43 Classification of Reams
4.4 Shear Force (S.F.) and Bending Moment (B.M.)
43 Sign conventions
4.6 Cantilever with an End Load
4,7 Cantilever with Uniformly Distributed Load
4.8 Cantilever with Uniformly Distributed load and
Concentrated Load at the Free End
206
206
207
208
208
209
209
210
4.9 Cantilever Carrying Uniformly Distributed Ixrad for a Pail uf iLs
Length from the Free End
4.10 Cantilever Carrying Load Whose Intensity Varies Uniformly from
Zero al the Free End to the Per unit Run at the Fixed End
4J 1 CantileyerCanying load Whose Intensity varies Uniformly from
Zero al the Fixed Point End to iv Pei Unit-Rua al the Free End
4.12 Simply Supported Beam Carrying Concentrated Load at the Mid Span
4.13 Simply Supported Beam Carrying Concentrated Load not at Mid Span
4J 4 Simply Supported Beam Carrying a UniformlyJ3fctnbuiedLaad
of tv Per unit Run over the Whole Span
4d5 General Relation between the Loadt the Shearing Force and the
Bending Moment
4J6 Simply Supported Beam Carrying a Load whose Intensity varies
Uniformly from Zero at each End to n per Unit Run at the Mid Span
4.17 Simply Supported Beam cartying a Load whose Intensity varies
Uniformly from Zero at one end to tv per unit Run at the other End
4.18 Simply Supported Beam with Equal Overhangs and carrying a
Uniformly Distributed Load of per w Unit Run over the Whole Length
435 .Thc.Points.Qf.Contiaflcxure
4.20 Loading and B.M. diagrams from SE Diagrams
Typical Examples (For Competitive Examinations)
Highlights
Objective Type Questions
Unsolved Examples
210
212
214
218
218
219
220
224
225
23.4
235
245
248
255
255
25.7
5. Bending Stresses in Beams 261-329
54 Theory of Simple Bending (Bending equation)
53 Position of .Neutral Axis
53 Section Modulus
5.4 Practical Application of Bending Equation
5.5 Beam of Heterogeneous Materials
(Flitched beam)
5.6 Beams of Uniform Strength
5.7 Bimetallic Strip
5,8 Reinforced CemenLConcrete1R.CCJ
Typical Examples (For Competitive Examinations)
261
263
263
266
289
296
301
304
309Highlights
Objective Type Questions
Unsolved Examples
... 324
... 325
... 326
6^Combined Direct and Bending Stresses 330-365
6J Introduction
6J Load acd ng EcccntricalIy to One Axis
6J Condilionfor.No Tension in the.Section
6.4 Wind Pressure on Chimneys
6.5 Earth Pressure on retaining Walls
6,5.1 Angle of repose
6,5.2 Earth pressure
Typical Examples (For Competitive Examinations)
Highlights
Objective Type questions
Theoretical Questions
Unsolved Examples
330
330
332
342
348
348
349
355
362
362
363
363
7. Shearing Stresses 366-398
7J Introduction
7.2 Shearing Stress Variation
Closs section
7.4 Shear Stress Distribulion for Typical Sections
Typical Examples (For Competitive
Examinations)
Highlights
Objective Type Questions
Theoretical Questions
Unsolved Examples
366
367
368
371
382
396
396
397
397
8. Deflection of Beams 399-528
8J
822
8J
8.4
8.5
8.6
8J
8.8
Introduction
Beam Deflection
Relation between Slope. Deflection and
Radius of Curvature
Sign Conventions
Slope and Deflection al a Section
Double Integration Method
Macaulay’s Method
Moment Area Method
8,8.1 Determination of maximum slope
and deflection in important cases
8.9 Conjugate Beam Method
8.10 Propped Cantilevers and Beams
Typical Examples (For Competitive Examinations)
399
399
400
40J
401
40J
420
jj1
448
469
492
507Highlights
Objective Type Questions
Unsolved Examples
523
523
524
9. Fixed and Continuous Beams 529-588
9.1. Introduction
42 Fixed Beams
9.2.1 Analysis of a fixed beam
9.2.2 Fixed beam with ends at
different levels (Effect of
sinking of supports)
9-3 Continuous Beam
9.3.1 Introduction
9.3.2 Clapeyron's theorem of three
moments
9.3.3 Beams with overhangs
9.3.4 Sinking of supports
Typical Examples
Highlights
Objective Type Questions
Unsolved Examples
HX Thin Shells 589-623
10.1 Introduction
10.2 Thin Cylindrical Shells
10.2.1 Circumferential or hoop stresses
10.2.2 Longitudinal stresses
10.23 Maximum shear stress
10,2.4 Design of thin cylindrical shells
10.2.5 Cy1indrical shell with
hemispherical ends
10.2.6 Built-up cylindrical shells
10.2.7 Change in dimensions of a thin cylindrical shell due to an
internal pressure
10.2,8 Wire wound cylinders
103 Sphericalsheils
Typical Examples {Fp^ompetijiv^Exan^
Highlights
Objective Type Questions
Unsolved Examples
IL Thick Shells 624-683
HJ Thick Cylinders
LLLL Introduction
[LI.2 Lame*s theory
.... 624
624
62411.1.2.1 Special cases
1 LL2.2 Longitudinal and shear stresses
niLSJJesjgncf thick cylindrical shell
1LL24 Compound or shrunk cylinders
1 1.1.23 Necessary difference of radii for
shrinkage
1 1 2 Thick Spherical Shells
Typical Examples
Highlights
Objective Type Questions
Unsolved Examples 680
12. Riveted and Welded Joints 684-723
12.1 Introduction
12.2 Riveted joints
12.2J Types of riveted joints
1 2.22 ImportantJenns used in riveting
12.2.3 Fai1ure of riveted joints
1 2 3 4 Efficiency of a riveted joint
1 2.2.5 Thickness of cover plates
12.2.6 Diamond riveting
1232 Relation between d and r
1223 Determination ofj)hch (p) 690
12.3 Welded Joints 707
12.3.1 Advantages and disadvantages of welded joints 707
123.2 Types of welds 708
1233 Strength of butt welds 709
Typical Examples 714
Highlights 720
Objective Type Questions 720
Unsolved Examples ... 721
13. Torsion of Circular and Non-circular
Shafts
Shulls
Torsion of Shafts
Torsion Equation
Hollow Circular Shafts
Torsional Rigidity
Power Transmitted by the Shaft
Importance of Angle of Twist and Various
Stresses in Shaft
Modulus of Rupture
13.9 Comparison of Solid and Hollow Shafts _ 737
13JO Shafts in Series 744
L3.ll Shafts in Parallel 745L3.12 Torsional Resilience ... 756
13.13 Shaft Couplings ... 758
13J 4 Combined Bending and Torsion ... 76J
13.15 Torsion of a Tapering Shaft ... 767
13J6 ThinCir^ Sub[ected jo Torsion .„ 721
13.17 Torsion of Non-circular Solid Section ... 773
13.18 Torsion of Non-circular Thin Tubular Sections 779
13,19 Torsion of Thin Rectangular Sections ... 781
13.20 Torsion of Thin-walled Multi-cell Sections ... 791
Typical Examples ... 794
Highlights ... 804
Objective Type Questions 807
Unsolved Examples ... 808
14. Springs 812-860
14J Introduction
14.2 Helical Springs
14.3 The Close-coiled Helical Springs
14.3.1 Close-coiled helical spring with Axial load'
1432 Subjected to 'Axial twist1
144 Open-coiled Helical Springs
14.4.1 With 'Axial load'
14.4.2 With Axial thrust1
1443 Stresses in circular wire of
open coil spring
14.5 Springs in Series
14.6 Springs in Parallel
14.7 Flat Spiral Springs
14.8 Laminated Springs
14.8.1 Semi'elliptical spring
14.82 Quarter-elliptical spring
Typical Examples
Highlights
ObjeenyeJTyp^Questions
Unsolved Examples
15. Strain Energy and Deflection Due to
Shear and Bending
15.1 Strain Energy or Resilience
152 Strain Energy in Simple Tension and Compression
15.3 Stresses Due to Different Types of Loads
15.4 Strain Energy in Pure Shearing
15.5 Strain Energy in Torsion
1 5,6 Strain Energy Due to Bending
15.6.1 Bending under gradually
applied loads
_ 88115.6.2 Bending under impact
loads 889
15.7 Strain Energy Due co Principal
Stresses -Strain Energy in a
General Case 892
15.8 Energy of Distortion (Shear Strain Energy > " $95
15.9 Strain Energy and Deflection Due to Shear - 896
15.10 Castigliano*s Theorem f ... 900
15.11 Maxwell's Theorem 916
TypicaiExampies ”* 918
Highlights 924
Objective Type Questions 926
Unsolved Examples 927
16. Columns and Struts
16.1 Introduction
16.2 Definitions
16,3 Classification of Columns
16.4 Strength of Columns
16.5 End Conditions
1 6.6 Equivalent Length
16 7 Euler s Theory (For long columns) < UL 931
16.8 Sign Conventions for ... 931
L6JI Euler's Formula 931
16.IQ Limitations for the use of Euler's Formula ... 932
16.11 Applicability of Euler Theory 933
1642 Deviations of Eul.er’s Formula (For Different End Conditions) ... 933
16.13 Rankine’s Hypothesis for Struts/Columns ... 943
16.14 John’s Parabolic Formula ... 945
16.15 Straight Line Formula 945
1^U> Columns Subjected to Eccenttic Loading 962
16.17 Prof. Perry’s formula 967
16.18 Columns with Initial Curvature (Axial loading) ... 970
16J9 Beam Columns ... 972
Typical Examples 978
Highlights 986
Objective Type Questions ... 987
Unsolved Examples ... 989
17, Analysis of Framed Structures
introduction
Determination of Reactions-Graphical
Method
Determination of Stresses
17.3.1 Graphical Method
17.3.2 Analytical Methods17.3.2.1 Method of joints
173.2.2 Method of sections (or
Method of moments)
Highlights
ObjectiyeT^pe Questions
Theoretical Questions
Unsolved Examples
18. Theories of Failure
18.1 Introduction
18.2 Maximum Principal Stress Theory
18.3 Maximum Shear Stress or Stress Difference Theory
18.4 Strain Energy Theory
18.5 Shear Strain Energy Theory
18,6 Maximum Principal Strain Theory
18.7 Graphical Representation of Theories for Two
Dimensional Stress System
Typical..Examples
Highlights
Objective Type Questions
Unsolved Examples
19. Stresses Due to Rotation 1129-1162
19.1 Introduction
19.2 Rotating Ring
19,3 Rotating Thin Disc
19.4 Disc of Uniform Strength
19.5 Rotating Long Cylinders
1953 Solid Cylinder
19,53 Hollow Cylinder
Highlights
Objective Type Questions
Unsolved Examples
20. Bending of Curved Bors
20,1 Introduction 1163
20.2— Stresses in Curved Bars (Winkler’Bach Theory )
203 Values of h2 for Various Sections
203.1 Rectangular section
203,2 Circular section
2033 Triangular section
203.4 Trapezoidal section
2033 T-section
203,6 T-section
20,4 Stresses in a Ring
20.5 Stresses in a Chain Link 120120.6 Deflection of Curved Bars 1207
20,6.1 Deflection of a Closed Ring
20*6*2 Deflection af a Chain Link
Typical Examples
Highlights
Objective Type Questions
Unsolved Examples
21. Unsymmetrical Bending and Shear
21J Introduction
2L2 Product of Inertia
product of inertia
2L2.2 Principal aaes and principal
momcuts of inertia
21,3 Stresses Due to Unsymmetrical
Bending
2L4 DeflectioiLof Beams Due to
Unsymmetrical bending
2L5 Shear Ccntr
2t .5.1 Shear centre for channeI-section
.**1222
_ 1223
1223
21.5.2 Shear centre for unequal-section ... 1237
Highlight _ 1245
Objective Type Questions ... 1245
Unsolved Examples 1246
22. Competitive Examinations (UPSC, GATE etc.)
Questions with Solutions 1247-1341
Additional Objective Type Questions
(Including Questions for ESE, CSE, GATE etc., exams.) 1343-1385
Material Testing-Experiments 1387-1419
Index 1420-1424


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