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Mechanics of Solids, 2nd Edition

Book Description

Mechanics of Solids is designed to fulfill the needs of the mechanics of solids or strength of materials courses that are offered to undergraduate students of mechanical, civil, aeronautics and chemical engineering during the second and third semesters. The book has been thoroughly revised with multiple-choice questions, examples and exercises to match the syllabi requirement of various universities across the country.

Table of Contents

  1. Cover
  2. Title Page
  3. Contents
  4. About the Author
  5. Preface to the Second Edition
  6. Preface to the First Edition
  7. 1. Analysis of Stress
    1. 1.1 - Introduction
    2. 1.2 - Classification of Load
    3. 1.3 - Stress
    4. 1.4 - Concept of Stress at a Point
    5. 1.5 - State of Plane Stress
    6. 1.6 - Principal Stresses
    7. 1.7 - Mohr's Circle
    8. 1.8 - Stress Concentration
      1. Problems
      2. Objective Questions
      3. Answers
  8. 2. Analysis of Strain
    1. 2.1 - Concept of Strain
    2. 2.2 - Direct and Shearing Strain
    3. 2.3 - State of Strain at a Point
    4. 2.4 - State of Plane Strain
    5. 2.5 - Strain Gauge
    6. 2.6 - Strain Gauge Application
      1. Problems
      2. Objective Questions
      3. Answers
  9. 3. Stress–Strain Relationship
    1. 3.1 - Hooke's Law
    2. 3.2 - Three Dimensional Hooke's Law
    3. 3.3 - Stress-Strain Relationships for Plane Stress
    4. 3.4 - Stress-Strain Relationships for Plane Strain
    5. 3.5 - Bulk Modulus
    6. 3.6 - Relation between E and G
    7. 3.7 - Generalized Hooke's Law
    8. 3.8 - Relationship among Elastic Constants for an Isotropic Homogeneous Elastic Material
      1. Problems
      2. Objective Questions
      3. Answers
  10. 4. Axial Loading
    1. 4.1 - Introduction
    2. 4.2 - Stress and Strain Under Axial Load
    3. 4.3 - Static Properties of Materials
    4. 4.4 - Elastic Stress–Strain Relationship
    5. 4.5 - Mechanical Strengths
    6. 4.6 - Strain Hardening
    7. 4.7 - Yielding, Yield Strength and Proof Stress
    8. 4.8 - Fracture Mode
    9. 4.9 - Strain Energy
    10. 4.10 - Resilience and Toughness
    11. 4.11 - Deformation of Axially Loaded Members
    12. 4.12 - Bars of Varying Cross-Section
    13. 4.13 - Factor of Safety
    14. 4.14 - Temperature Effects
    15. 4.15 - Statically Indeterminate Axially Loaded Members
    16. 4.16 - Composite Bars
      1. Problems
      2. Objective Questions
      3. Answers
  11. 5. Thin-Walled Pressure Vessels
    1. 5.1 - Introduction
    2. 5.2 - Stresses in Thin Cylinders
    3. 5.3 - Strain and Change in Volume
    4. 5.4 - Strengthening of Thin Cylinders
    5. 5.5 - Joints in Cylinders
    6. 5.6 - Thin Spherical Shell
    7. 5.7 - Volume Change in Spherical Shell
      1. Problems
      2. Objective Questions
      3. Answers
  12. 6. Torsion
    1. 6.1 - Torsional Shearing Stress and Strain
    2. 6.2 - State of Stress at a Point in a Shaft
    3. 6.3 - Power Transmission
    4. 6.4 - Composite Shafts-Series Connection
    5. 6.5 - Statically Indeterminate Torsion Members
    6. 6.6 - Strain Energy in Torsion
    7. 6.7 - Torsion of Thin Walled Tubes
    8. 6.8 - Torsion of a Tapered Shaft
    9. 6.9 - Combined Axial and Torsional Load
    10. 6.10 - Flanged Coupling
      1. Problems
      2. Objective Questions
      3. Answers
  13. 7. Beams and Bending—Shear Force and Bending Moment
    1. 7.1 - Classification of Beams
    2. 7.2 - Shear Force and Bending Moment in a Beam
    3. 7.3 - Concept of Bending Stress
    4. 7.4 - Signs for Shearing Force and Bending Moment
    5. 7.5 - Shearing Force and Bending Moment Equations
    6. 7.6 - Shear Force and Bending Moment Diagrams
    7. 7.7 - Relationships between Loading Rate, Shear Force and Bending Moment
      1. Problems
      2. Objective Questions
      3. Answers
  14. 8. Beams and Bending-Stresses
    1. 8.1 - Simple Bending Theory
    2. 8.2 - Moment of Inertia of Section
    3. 8.3 - Shearing Stress in Beams
    4. 8.4 - Distribution of Shearing Stress
    5. 8.5 - Composite Beams
      1. Problems
      2. Objective Questions
      3. Answers
  15. 9. Deflection of Beams
    1. 9.1 - Introduction
    2. 9.2 - Equation to Elastic Curve
    3. 9.3 - A Cantilever beam
    4. 9.4 - A Simply Supported Beam
    5. 9.5 - Rate of Loading and Elastic Curve
    6. 9.6 - Macaulay's Method
    7. 9.7 - A Couple Acting upon a Simply Supported Beam
      1. Problems
      2. Objective Questions
      3. Answers
  16. 10. Beam Deflection—Moment Area Method
    1. 10.1 - Slope and Deflection from Bending Moment Diagram
    2. 10.2 - Parts of BM Diagrams
    3. 10.3 - Statically Indeterminate Beams
    4. 10.4 - Fixed Beams
    5. 10.5 - A Fixed Beam with Sinking Supports
    6. 10.6 - BM Diagram for a Fixed Beam
    7. 10.7 - Maximum Deflection
    8. 10.8 - Continuous Beam
    9. 10.9 - Advantages and Disadvantages
      1. Problems
      2. Objective Questions
      3. Answers
  17. 11. Strain Energy
    1. 11.1 - Strain Energy due to Normal Stresses
    2. 11.2 - Strain Energy due to Shearing Stress
    3. 11.3 - Strain Energy under General State of Stress
    4. 11.4 - Strain Energy due to Distortion
    5. 11.5 - Strain Energy in Tension
    6. 11.6 - Strain Energy of a Beam
    7. 11.7 - Strain Energy in Torsion
    8. 11.8 - Castigliano's Theorem
    9. 11.9 - Tension due to Impact Load
    10. 11.10 - Theories of Failure
    11. 11.11 - Maximum Principal Stress Theory
    12. 11.12 - Maximum Principal Strain Theroy
    13. 11.13 - Maximum Shearing Stress Theroy
    14. 11.14 - Strain Energy Theory
    15. 11.15 - Distortion of Energy Theory
      1. Problems
      2. Objective Questions
      3. Answers
  18. 12. Springs
    1. 12.1 - Introduction
    2. 12.2 - Close Coiled Helical Spring–Axial Load Stress
    3. 12.3 - Close-Coiled Helical Spring–Axial Torque
    4. 12.4 - Strain Energy
    5. 12.5 - Combination of Springs
    6. 12.6 - Open Coiled Helical Spring
    7. 12.7 - Laminated Spring
    8. 12.8 - Flat Spiral Spring
      1. Problems
      2. Objective Questions
      3. Answers
  19. 13. Columns and Struts
    1. 13.1 - Introduction
    2. 13.2 - Combined Bending and Direct Stress
    3. 13.3 - Rectangular Section–Middle Third Rule
    4. 13.4 - Middle Quarter Rule for Circular Section
    5. 13.5 - Strut with Both Ends Pinned or Pivoted
    6. 13.6 - Strut Fixed at One End and Free at the Other
    7. 13.7 - Strut with One End Fixed and Other Pinned
    8. 13.8 - Strut Fixed at Both Ends (Ends Direction Fixed)
    9. 13.9 - Euler Theory and Experimental Results
    10. 13.10 - Rankine-Gordon Formula
    11. 13.11 - Other Formulae
    12. 13.12 - A Strut with Eccentric Load
    13. 13.13 - Laterally Loaded Struts
      1. Problems
      2. Objective Questions
      3. Answers
  20. 14. Thick Cylinders and Spheres
    1. 14.1 - Stresses in Thick Cylinders
    2. 14.2 - Lame's Equations
    3. 14.3 - Special Case of Solid Shaft
    4. 14.4 - Strains and Displacements, Compound Cylinders
    5. 14.5 - Thick Spherical Shells
      1. Problems
      2. Objective Questions
      3. Answers
  21. 15. Rotating Rings, Discs and Cylinders
    1. 15.1 - Rotating Ring
    2. 15.2 - Rotating Disc
    3. 15.3 - Special Cases of Rotating Disc
    4. 15.4 - Disc of Uniform Strength
    5. 15.5 - Rotating Cylinder
    6. 15.6 - Axial Stress in Rotating Cylinder-Hollow Cylinder
    7. 15.7 - Axial Stress in Solid Rotating Cylinder
      1. Problems
      2. Objective Questions
      3. Answers
  22. 16. Curved Beams
    1. 16.1 - Introduction
    2. 16.2 - Stresses in Curved Beams
    3. 16.3 - Determination of Eccentricity
    4. 16.4 - Rings Under Load
    5. 16.5 - Stresses in Rings
    6. 16.6 - Chain Link
      1. Problems
      2. Objective Questions
      3. Answers
  23. 17. Vibrations
    1. 17.1 - Vibrations Types
    2. 17.2 - Simple Harmonic Motion
    3. 17.3 - Linear Vibration
    4. 17.4 - Transverse Vibration
    5. 17.5 - Transverse Vibration of a Shaft under its Own Weight
    6. 17.6 - Torsional Vibration
    7. 17.7 - Torsional Vibration of Shaft under Two Rotors
    8. 17.8 - Helical Spring under Torsion
    9. 17.9 - Whirling of Shaft
      1. Problems
      2. Objective Questions
      3. Answers
  24. Appendix
  25. Multiple Choice Questions
  26. Copyright