3rd Edition
Strength of Materials in SI Units, Third Edition
Developed from the author’s lectures and years of teaching experience, this book presents the principles behind the methods of solving problems on material behavior when subjected to different types of loads. It elucidates the subject in simple language, lucidly and clearly, to enable students to comprehend the principles involved. Each chapter deals with definitions, analysis of problems involved, derivations and applications. It contains more than 380 worked examples and exercises have also been added at the end of each chapter for practice. S.I units have been adopted throughout.
Simple Stresses and Strains
Definition
Elasticity
Hooke’s Law
Stress–Strain Diagram
Factor of Safety
State of Simple Shear
Modulus of Rigidity (Shear Modulus)
Bulk Modulus
Poisson’s Ratio
Relation between the Modulus of Rigidity and Young’s Modulus of Elasticity and the Bulk Modulus
Bars of Varying Sections
Stresses due to Self Weight
Compound Bars
Temperature Stresses
Strain Energy
Exercise problems
Compound Stresses and Strains
Introduction
Stresses on an Inclined Plane
Element Subjected to Two Normal Stresses
Ellipse of Stress
General Two-Dimensional Stress System
Principal Stresses and Principal Planes
Mohr’s Circle of Stress
Analysis of Strain
Mohr’s Strain Circle
Strain Rosettes
Exercise problems
Bending Moments and Shearing Forces
Introduction
Beam
Types of Loads
Shear Force and Bending Moment
Relationship between Load, Shear Force and Bending Moment
Types of Supports
Bending Moments and Shear Force Diagrams
Inclined Loading on Beams
To Draw the Loading and B.M.D from S.F.D
Exercise problems
Bending Stresses in Beams
Theory of Simple Bending
Neutral Axis
Moment of Resistance (M.R.)
Section Modulus
Flitched Beam
Beams of Uniform Strength
Shearing Stresses in Beams
Principal Stresses at a Point in a Beam
Exercise problems
Deflection of Beams
Introduction
Circular Bending
Differential Equation for the Deflection Curve
Double Integration Method
Macaulay’s Method
Deflection by Strain Energy Method
Moment–Area Method
Deflection Due To Shear
Propped Cantilevers and Propped Beams
Deflection due to Impact
Exercise problems
Torsion
Introduction
Pure Torsion
Relation between Twisting Moment, Shear Stress and Angle of Twist
Polar Modulus
Torsional Rigidity
Power Transmitted by a Shaft
Strain Energy in Torsion
Combined Bending and Torsion
Equivalent Bending Moment
Equivalent Torque
Composite Shafts
Torsion of a Tapering shaft
Torsion of Statically Indeterminate Members
Springs
Close-Coiled Helical Springs
Springs in Series and Parallel
Open-Coiled Helical Springs
Leaf, Laminated or Carriage Springs
Quarter Elliptic Springs
Closed-coiled Conical Springs
Flat Spiral Springs
Exercise problems
Fixed and Continuous Beams
Fixed Beams
Moment–Area Method for Fixed Beams
Macaulay’s Method for Fixed Beams
Effect of Sinking of Supports (Supports at Different Levels)
Fixed Beam Subjected to a Couple M Applied Eccentrically on the Span
Continuous Beam
Exercise problems
Columns and Struts
Definitions
Axially Loaded Short Columns
Eccentrically Loaded Short Columns
Axially Loaded Slender Columns (Euler’s Equation)
Limitations of Euler’s Formula
Intermediate Columns (Tangent Modulus Equations)
Empirical Formulae for the Column’s Design
Eccentrically Loaded Long Columns
Columns with Initial Curvature
Laterally Loaded Struts
Laterally Loaded Ties
Perry Robertson Formula
Built-up Columns
Exercise problems
Thin and Thick Cylinders
Thin Cylindrical and Spherical Shells
Thick Cylindrical and Spherical Shells
Exercise problems
Theories of Elastic Failure
Introduction
Maximum Principal Stress Theory
Maximum Shearing Stress Theory (Coulomb’s Theory)
Strain Energy Theory (Beltrami and Haigh)
Shear Strain Energy Theory (Distortion Energy Theory) (Huber)
Maximum Strain Theory (St. Venant’s Theory)
Octahedral Shear Stress Theory
Exercise problems
Appendix
Index
Biography
B.S. Basavarajaiah, P. Mahadevappa
… [The authors] have drawn on their long experience as teachers to present a well-organized text for students of engineering and architecture. Each chapter offers definitions, analysis of problems, derivations, applications, worked problems (380 in all), and exercises. Coverage begins with simple, then compound, stresses and strains, and proceeds through bending moments and shearing forces, bending stresses in beams, deflection of beams, tursion, fixed and continuous beams, columns and struts, thin and thick cylinders, and theories of elastic failure. …
—SciTech Book News, February 2011
