Strength of Materials
Theory and Examples
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Strength of Materials: Theory and Examples covers the basic topics and mathematical aspect relating to the strength of materials. Each chapter of this book consists of a concise but thorough statement of the theory, followed by a number of worked examples in which the theory is amplified and extended. A large number of unworked examples and its respective answers are also provided. The topics include the bending stresses, torsion, deflection of beams, struts, and thin curved bars. This text likewise deliberates the shear stress in beams, unsymmetrical bending, elastic constants, and theories of failure. This publication is recommended for students who are in their first two years of an engineering degree or diploma course.
Table of Contents
1 Simple Stress And Strain
1.1 Introduction
1.2 Tensile and Compressive Stress and Strain
1.3 Shear Stress and Strain
1.4 Hooke's Law
1.5 Factor of Safety
1.6 Stresses in Thin Cylindrical Shells
1.7 Stress in Thin Spherical Shells
1.8 Stress in Thin Rotating Rims
1.9 Stresses in Composite Bars
1.10 Strain Energy
1.11 Shear Strain Energy
Worked Examples 1-10
Unworked Examples 11-36
2 Shearing Force And Bending Moment
2.1 Shearing Force and Bending Moment
2.2 Shearing Force and Bending Moment Diagrams
2.3 Relation Between Intensity of Loading, Shearing Force and Bending Moment
2.4 Graphical Construction of S.F. and B.M. Diagrams
Worked Examples 1-8
Unworked Examples 9-30
3 Bending Stresses
3.1 Pure Bending
3.2 Second Moment of Area
3.3 Theorem of Parallel Axes
3.4 Theorem of Perpendicular Axes
3.5 Equimomental System
3.6 Stress Due to Bending
3.7 Modulus of Section
3.8 Position of Neutral Axis
3.9 Radius of Curvature
3.10 Composite Beams
3.11 Combined Bending and Direct Stresses
3.12 Short Column with Eccentric Load
3.13 Bending Beyond the Limit of Proportionality
Worked Examples 1-14
Unworked Examples 15-49
4 Torsion
4.1 Stress Due to Twisting
4.2 Modulus of Section
4.3 Angle of Twist
4.4 Strain Energy
4.5 Composite Shafts
4.6 Twisting Beyond the Limit of Proportionality
Worked Examples 1-7
Unworked Examples 8-27
5 Deflection Of Beams
5.1 Integration Method
5.2 Standard Cases of Beam Deflections
5.3 Single Concentrated Load Not at Centre—Macaulay's Method
5.4 Distributed Loads
5.5 Couple Applied at a Point
5.6 Area-Moment Method
5.7 Maxwell's Reciprocal Rule
5.8 Deflection Due to Impact
Worked Examples 1-15
Unworked Examples 16-56
6 Built-In And Continuous Beams
6.1 Built-In Beams
6.2 Built-In Beam with Central Concentrated Load
6.3 Built-In Beam with Uniformly Distributed Load
6.4 Built-In Beam with Concentrated Load Not at Centre
6.5 Supports at Different Levels
6.6 Continuous Beams—Three Moments Theorem
Worked Examples 1-8
Unworked Examples 9-30
7 Struts
7.1 Introduction
7.2 Euler's Theory
7.3 Validity Limit for Euler's Theory
7.4 Rankine's Theory
7.5 Strut with Eccentric Load
7.6 Strut with Initial Curvature
7.7 Laterally Loaded Struts
7.8 Alternative Method for Determining Bending Moment
7.9 Eccentrically and Transversely Loaded Tie-Bars
Worked Examples 1-7
Unworked Examples 8-30
8 Thin Curved Bars
8.1 Strain Energy Due to Bending
8.2 Castigliano's Theorem
8.3 Application of Castigliano's Theorem to Deflection of Curved Bars
8.4 Strain Energy Due to Twisting
Worked Examples 1-10
Unworked Examples 11-35
9 Springs
9.1 Close-Coiled Helical Spring with Axial Load
9.2 Close-Coiled Helical Spring with Axial Couple
9.3 Open-Coiled Helical Springs
9.4 Composite Action of Axial Load and Couple
9.5 Flat Spiral Springs
9.6 Leaf, Laminated or Carriage Springs
9.7 Vibration of Springs
Worked Examples 1-11
Unworked Examples 12-44
10 Shear Stress In Beams
10.1 Shear Stress Distribution
10.2 Built-Up Girders
10.3 Deflection Due to Shear
10.4 Total Deflection
Worked Examples 1-8
Unworked Examples 9-30
11 Unsymmetrical Bending
11.1 Principal Axes and Principal Moments of Inertia
11.2 Determination of Principal Axes and Principal Moments of Inertia
11.3 Momental Ellipse
11.4 Theorem of Perpendicular Axes for Product of Inertia
11.5 Beam with Unsymmetrical Bending Moment
11.6 Short Column with Unsymmetrical Load
Worked Examples 1-7
Unworked Examples 8-18
12 Complex Stress And Strain
12.1 Stresses on an Oblique Section
12.2 Material Subjected to Two Perpendicular Stresses
12.3 Material Subjected to Shear Stress
12.4 Material Subjected to Direct and Shear Stresses
12.5 Alternative Derivation of Principal Stresses and Planes
12.6 Mohr's Stress Circle
12.7 Combined Bending and Twisting
12.8 Principal Strains
12.9 Strains on an Oblique Section
12.10 Electric Resistance Strain Gauges
12.11 Determination of Principal Strains
Worked Examples 1-12
Unworked Examples 13-42
13 Elastic Constants: Volumetric Strain
13.1 Relation Between E, G and v
13.2 Three-Dimensional Strain
13.3 Volumetric Strain
13.4 Bulk Modulus
13.5 Relation Between E, K and v
13.6 Relation Between E, G and K
13.7 Volumetric Strain Due to Unequal Stresses
Worked Examples 1-9
Unworked Examples 10-31
14 Thick Cylinders
14.1 Lamé's Theory
14.2 Comparison with Thin-Cylinder Theory
14.3 Longitudinal and Shear Stresses
14.4 The Lamé Line
14.5 Compound Cylinders
14.6 Solid Shaft Subjected to External Pressure
14.7 Shrinkage Allowance
Worked Examples 1-9
Unworked Examples 10-33
15 Strain Energy: Theories Of Failure
15.1 Strain Energy Due to Three Principal Stresses
15.2 Volumetric and Shear Strain Energy
15.3 Theories of Elastic Failure
15.4 Two-Dimensional Cases
Worked Examples 1-6
Unworked Examples 7-28
Product details
- No. of pages: 320
- Language: English
- Copyright: © Arnold 1970
- Published: January 1, 1970
- Imprint: Arnold
- eBook ISBN: 9781483193250