Allen D.H. Introduction to the Mechanics of Deformable Solids: Bars and Beams

Springer Science+Business Media, New York, 2013, 219 pages, ISBN: 1461440025Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages. This book also:
Features a highly visual pedagogy that emphasizes how visual representation of models leads to mathematical models
Pays careful attention to the history of mechanics and includes a historical chapter
Includes a separate chapter on structural design
Maintains congruity of notation and approach to all mechanics models
Features 200 illustrations
Introduction to the Mechanics of Deformable Solids: Bars and Beams is an ideal book for undergraduate students taking their first course in mechanics of solids.A Short History of Mechanics
Historical Review
AssignmentsMechanics of MaterialsModern Models
Kinetics
Boundary Conditions
The Stress Tensor
Kinematics
Material Behavior
Units of Measure
AssignmentsTheory of Uniaxial BarsA Model for Predicting the Mechanical Response of a Uniaxial Bar
Construction of the Model
Methods for Obtaining Solutions with the Model
AssignmentsTheory of Cylindrical Bars Subjected to TorsionA Model for Predicting the Mechanical Response of a Cylindrical Torsion Bar
Construction of the Model
Methods for Obtaining Solutions with the Model
AssignmentsTheory of BeamsA Model for Predicting the Mechanical Response of a Beam
Construction of the Model
The Beam Model for the Transverse Deflection
Calculation of the Moment of Inertia
Methods for Obtaining Solutions with the Beam Transverse Deflection Model
A Model for Beam Shear
AssignmentsStress and Failure AnalysisModes of Failure in Solids
Nonphysical Failure
Nonmechanical Physical Failure
Mechanically Induced Failure
Failure by Fracture and/or Permanent Deformation
Stress Transformations
Mohr’s Circles for Performing Coordinate Transformations of Stress
A Simple Failure Model for Use with Mohr’s Circle
AssignmentsIntroduction to Structural DesignA Procedure for Analyzing Bars Subjected to Combined Loading
The Design Process
Design by Controlling Loads
Design by Controlling Material Properties
Design by Controlling Geometry
AssignmentsAppendix – Mechanical Properties of Structural Materials