Strength of Materials - 1st Edition - ISBN: 9780080115559, 9781483149042

Strength of Materials

1st Edition

A Course for Students

Authors: Peter Black
eBook ISBN: 9781483149042
Imprint: Pergamon
Published Date: 1st January 1966
Page Count: 464
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Description

Strength of Materials: A Course for Students deals with theories of stress analysis. The book describes simple stress, strain, and strain energy and defines, with appropriate formulas, commonly used terms such as load, elasticity, tensile test, and temperature stresses. The text then analyzes the moment when an applied force bends a subject beam under different load conditions. The formula for the first and second moments of area and the formula for the first and second moments of mass are explained.
The book also describes the unstrained or neutral plane when a bending moment acting on a particular beam results in tensile and compressive strains. The author also explains bending with direct stress, torsion, and the types of complex stresses. The theories of elastic failure are then discussed: the Maximum Principal Stress Theory (Rankine) for brittle materials, as well as the Maximum Shear Stress Theory (Coulomb, Tresca, and Guest) and the Maximum Strain Energy Theory (Haigh), which both concern ductile materials. The text also addresses the stress that can occur in both thick and thin cylinders, and then shows the appropriate computations to determine the downward forces as well as Lame's Formulas, which are used to find the radial and hoop stresses acting on the cylinder.
This textbook is useful for students of civil, structural, and mechanical engineering. Designers and technicians of industrial machinery will also greatly profit from reading this book.

Table of Contents


Preface

Symbols

Chapter I. Simple Stress, Strain and Strain Energy

Load

Stress

Strain

Elasticity

Rigidity

The Tensile Test

Strain Energy

Simple Load Shared by Two Materials—Compound Column

Temperature Stresses

Examples

Chapter II. Beams I—Bending Moment

Moment of a Force Producing Bending

Beam Rigidly Supported at One end with Concentrated Load at the Other

Cantilever with Several Concentrated Loads

Simple Span with Central Load

Simply Supported Beam with Several Concentrated Loads

Beam with Loaded Ends Overhanging Supports

General Case

Cantilever with Uniform Load

Simply Supported Beam with Uniform Load

Uniformly Loaded Beam with Simple Supports Not at Ends

Examples

Chapter III. 1st and 2nd Moments

Centroid

1st Moment of Area

1st Moment of Mass

2nd Moment of Area

2nd Moment of Mass

Examples

Chapter IV. Beams II—Simple Bending

Simple Bending

Examples

Chapter V. Beams III—Simple Shear

Shear Force in Beams (F)

Relation Between w, F and M

Examples

Chapter VI. Bending with Direct Stress

Composite Beams

Reinforced Concrete Beams

Bending Combined with Direct Stress

Examples

Chapter VII. Torsion

Modulus of Rigidity

Torsional Strain Energy

Helical Spring—Effects of Axial Load

Examples

Chapter VIII. Complex Stress I

Shear Stress Resulting from a Tensile Load

Complementary Shear

Bulk or Volumetric Strain

Poisson's Ratio

Relation Between the Elastic Constants

Examples

Chapter IX. Complex Stress II

Principal Planes and Stresses

Principal Strains

Theories of Elastic Failure

Combined Bending and Torsion

Examples

Chapter X. Beams IV—Deflection

Flexure and Radius of Curvature

Moment-Area Method

Leaf, Laminated or Plate Springs

Summary of Conventions used in the Theory of Simple Bending

Examples

Chapter XI. Strain Energy of Bending

Examples

Chapter XII. Shear Stress Due to Bending

Shear in Beams

Examples

Chapter XIII. Struts

Struts Subject to Axial Load

Examples

Chapter XIV. Thick and Thin Cylinders

Stresses in a Thick Tube

Tensile Stress in a Thin Rim Due to Rotation

Change in Volume under Load

Examples

Index

Details

No. of pages:
464
Language:
English
Copyright:
© Pergamon 1966
Published:
Imprint:
Pergamon
eBook ISBN:
9781483149042

About the Author

Peter Black