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.
Inhalt
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