Mechanical Science for Technicians

Mechanical Science for Technicians

Volume 2

1st Edition - January 1, 1982

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  • Author: Ian McDonagh
  • eBook ISBN: 9781483183282

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Description

Mechanical Science for Technicians, Volume 2 introduces the basic principles of stress-and-strain analysis. The book is comprised of 10 chapters that cover various aspects of mechanical sciences. The text first details the principles of stress-and-strain analysis and then proceeds to tackling the second moments of area of beam sections. Next, the book discusses combined direct and bending stresses. Chapter 4 talks about shear force and bending moment, while Chapter 5 deals with the slope and deflection of beams. The next chapters cover belt friction, velocity diagrams, flywheels, and oscillations. The last chapter discusses balancing rotating masses. The text will be of great use to mechanical engineers and technicians. Professionals dealing with machineries will also benefit from the book.

Table of Contents


  • Contents

    Preface

    1 Principles of Stress-And-Strain Analysis

    Classification of Materials

    Relationship between Stress and Strain

    Volumetric Strain

    Relationship between Linear Strain and Volumetric Strain

    Bulk Modulus of Elasticity

    Relationship between The Elastic Constants E, G, Ky and V

    Stresses in Thin-Walled Vessels

    Effect of Internal Pressure on the Volume of Thin-Walled Vessels

    Complementary Shear Stress

    Shear Stress in Beams due to Bending

    Complex Stress

    Normal and Shear Stresses on Any Plane in an Element Subject to Normal Stresses Only

    Normal and Shear Stresses on Any Plane in an Element Subject to Shear Stress Only

    Normal and Shear Stresses on Any Plane in a General Two-Dimensional Stress System

    Principal Planes and Principal Stresses

    Mohr's Circle for Stress

    Trigonometric Identities (Proof)

    2 Second Moments of Area of Beam Sections

    Second Moment of Area

    'I' for Common Sections

    The Parallel-Axis Theorem

    3 Combined Direct and Bending Stresses

    Direct Stress

    Bending Stress

    Values of I and ymax. for Common Sections

    Combined Bending and Direct Stress

    Core or 'Kern' of Section

    The Position of the Neutral Axis

    Worked Examples 4 Shear Force and Bending Moment

    Introduction

    Shear Force

    Bending Moment

    Relationship between Loading, Shear Force, and Bending Moment

    Application of the Mathematical Relationship between Shear Force and Bending Moment to Solution of Problems

    5 Slope and Deflection of Beams

    Introduction

    Elastic Equation for Bending

    Sign Convention and Boundary Conditions

    Applications of the Elastic Equation for Bending

    Principle of Superposition

    Macaulay's Method

    6 Belt Friction

    Power Transmission by Belt Drive

    Ratio of Belt Tensions

    Maximum Power Transmitted by a Belt

    Vee-Belt Drives

    Initial Tension in a Belt

    7 Velocity Diagrams

    Relative Velocities of Points on a Rigid Bar Rotating about One End

    Relative Velocities of Points on a Rigid Bar Having Plane Motion

    Relative Velocities of Points in a Slider-Crank Mechanism

    Relative Velocities of Points in a Quadric Cycle Chain

    Relative Velocities of Points in Combinations of Quadric Cycle Chains and Slider-Crank Mechanisms

    Velocity Diagrams for Mechanisms Having Combined Sliding and Rotation

    8 Flywheels and Turning-Moment Diagrams

    Function of a Flywheel

    The Energy in a Flywheel

    Turning-Moment Diagrams

    Coefficient of Fluctuation of Speed

    Coefficient of Fluctuation of Energy

    Fluctuation of Energy from Turning-Moment Diagrams

    9 Oscillations

    Periodic Time and Frequency

    Displacement and Amplitude

    Simple Harmonic Motion

    Free Longitudinal Oscillations of a Mass on a Vertical Spring

    Free Transverse Oscillation of a Mass on a Cantilever

    Free Transverse Oscillation of a Single Mass on a Simply Supported Beam

    Torsional Oscillations

    Transverse Vibration of a Shaft Carrying a Uniformly Distributed Load Using the Energy or Rayleigh's Method

    Transverse Vibration of a Beam Carrying Several Point Loads Using the Energy or Rayleigh's Method

    Dunkerley's Method

    Whirling of Shafts

    Limiting Speeds

    10 Balancing Rotating Masses

    Static and Dynamic Balance

    Balancing Masses Rotating in the Same Plane

    Balancing of Masses Rotating in Different Planes

    Dynamic Reactions at Bearings due to Out-of-Balance Forces

    Index

Product details

  • No. of pages: 234
  • Language: English
  • Copyright: © Arnold 1982
  • Published: January 1, 1982
  • Imprint: Arnold
  • eBook ISBN: 9781483183282

About the Author

Ian McDonagh

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