Mechanics and Strength of Materials

Mechanics and Strength of Materials

1st Edition - January 1, 1979

Write a review

  • Author: Bogdan Skalmierski
  • eBook ISBN: 9781483102559

Purchase options

Purchase options
DRM-free (PDF)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order


Mechanics and Strength of Materials focuses on the methodologies used in studying the strength of materials. The text first discusses kinematics, and then describes the motion of a single particle; description of the motion of a rigid body; plane motion of a rigid body; and examples of the determination of velocities and accelerations in the motion of plane mechanism. The book explains the dynamics of a particle and statics, including the center of mass and gravity of a particle system; law of variation of angular momentum; analytical and graphical methods in the statics of plane systems; and spatial system of forces. The text also discusses the statics of elastic systems, and then describes the strength calculations of beams; problems of simple beam-bending; geometric moments of inertia; buckling problems of axially compressed rods; and simultaneous bending and torsion of rods with circular cross-section. The book focuses on the dynamics of rigid bodies, dynamics in relative motion, and fundamentals of analytical mechanics. The text further looks at vibrations of systems with one degree and many degrees of freedom. The book is a good source of data for readers interested in studying the strength of materials.

Table of Contents

  • Preface


    Chapter 1. Kinematics

    1.1. Motion of a Single Particle

    1.2. Description of the Motion of a Rigid Body

    1.3. Relative Motion

    1.4. Plane Motion of a Rigid Body

    1.5. Examples of the Determination of Velocities and Accelerations in the Motion of Plane Mechanisms

    Chapter 2. The Dynamics of a Particle

    2.1. Fundamental Definitions and Theorems

    2.2. Motion of a Particle

    2.3. Center of Mass and Center of Gravity of a Particle System

    2.4. Law of Variation of Momentum

    2.5. Law of Variation of angular Momentum

    Chapter 3. Statics

    3.1. Equations of Equilibrium

    3.2. Couple

    3.3. Spatial System of Forces. Wrench

    3.4. Analytical and graphical Methods in the Statics of Plane Systems

    Analytical Methods

    Graphical Methods (Funicular Polygon)

    3.5. Examples

    Triple-Jointed System

    Free-Ends Beam

    Plane Trusses

    3.6. The Distributive Character of Transverse Loads in Simple Rods

    3.7. The Equilibrium of Rods Loaded with Transverse Forces

    3.8. Friction

    Friction on an Inclined Plane

    Bearing Friction

    Friction of Rope against Wheel

    Problem of Friction in the Case of a Cylinder Rolling on Plane Surface

    Chapter 4. The Statics of Elastic Systems

    4.1. Hooke's Law

    4.2. Safety Factor

    4.3. Statically Indeterminate Systems

    4.4. Problems of Simple Beam-Bending

    4.5. Geometric Moments of Inertia

    4.6. Strength Calculations of Beams

    4.7. The Equation for the axis of a Deflected Beam

    4.8. Graphical Methods of Determining Deflections of Simple Beams (Mohr's Analogy)

    4.9. Oblique Bending

    4.10. Some Special Problems of Bending Theory

    4.11. Clapeyron's Systems

    4.12. Buckling Problems of axially Compressed Rods

    4.13. Highly Curved Rods

    4.14. Torsion of Rods with Circular Cross-Section

    4.15. Springs

    4.16. Simultaneous Bending and Torsion of Rods with Circular Cross-Section

    Chapter 5. The Dynamics of Rigid Bodies

    5.1. Moments of Inertia of Rigid Bodies

    5.2. The Angular Momentum of a Rigid Body in General Motion

    5.3. Angular Momentum in Circular Motion

    5.4. Euler's Equations

    5.5. The Kinetic Energy of Rigid Bodies in General Motion

    Chapter 6. Dynamics in Relative Motion

    6.1. Differential Equation of the Motion of a Particle in a Non-Inertial System

    6.2. The Dynamics of Rigid Bodies in Relative Motion

    Chapter 7. Fundamentals of Analytical Mechanics

    7.1. Generalized Coordinates and Degrees of Freedom of a Mechanical System

    7.2. D'Alembert's Principle

    7.3. Hamilton's Principle

    7.4. Lagrange Equations of the First Order

    7.5. Lagrange Equations of the Second Order

    7.6. Kinetic Energy of a System

    7.7. Impulsive Motion

    7.8. Gyroscopic and Dissipative Forces

    7.9. The Lagrange Equations for Electromechanical Systems

    7.10. Hamilton's Canonical Equations

    7.11. The Total Energy of a Mechanical System

    7.12. Configurational Space

    7.13. The Stability of Mechanical Systems

    Chapter 8. Vibrations of Systems with One Degree of Freedom

    8.1. Preliminary Discussion

    8.2. Free Vibrations of Harmonic Oscillators

    8.3. The Influence of Dissipative Forces in the Free Vibrations of Harmonic Oscillators

    8.4. Forced Vibrations of Harmonic Oscillators

    8.5. Vibrations of Harmonic Oscillators with Kinematical Input

    8.6. Vibrations of Harmonic Oscillators under Periodic Input Forces

    8.7. Vibrations of Non-Linear Systems

    Chapter 9. Vibrations Of Systems with Many Degrees of Freedom

    9.1. Preliminary Discussion

    9.2. Problems of Linearization of the Equations

    9.3. Free Vibrations of Conservative Systems

    9.4. Normal Coordinates

    9.5. Forced Vibrations of a System

    9.6. Free Vibrations of Dissipative Systems

    9.7. Forced Vibrations in Dissipative Systems

    9.8. Vibrations of Clapeyron's Systems

    Chapter 10. Some Methods of Describing Random Phenomena in Mechanics

    10.1. Basic Concepts

    10.2. Methods of Describing Stochastic Processes

    10.3. Stochastic Linearization

    10.4. Random Vibrations of Linear Systems with One Degree of Freedom

    10.5. Random Vibrations of Systems with Many Degrees of Freedom

    10.6. The Problem of Departures

    10.7. Fokker—Planck—Kolmogorov Equations

    10.8. Proposal for a Method of Direct Determination of Probability Density


    Subject Index

Product details

  • No. of pages: 442
  • Language: English
  • Copyright: © Elsevier 1979
  • Published: January 1, 1979
  • Imprint: Elsevier
  • eBook ISBN: 9781483102559

About the Author

Bogdan Skalmierski

Ratings and Reviews

Write a review

There are currently no reviews for "Mechanics and Strength of Materials"