Engineering mechanics of solids / Egor P. Popov in collaboration with Toader A. Balan.

CONTENT

`1. STRESS
Introduction
Method of sections
Definition of stress
Stress tensor
Differential equations of equilibrium
etc.


2. STRAIN
Introduction
The tension test and the normal strain
Stress-Strain relationships
Hooke's law
Further remarks on stress-strain
etc.


3. AXIAL DEFORMATION OF BARS: STATISTICALLY DETERMINATE SYSTEMS
Introduction
Deformation of axially loaded bars
Saint-venant's principle and stress concentrations
The tension text revisited
Elastic strain energy for uniaxial stress
etc.


4. GENERALIZED HOOKE'S LAW: PRESSRE VESSELS
Constitutive relationship for solar
Generalized concept of strain and hooke's law
Thin-walled pressure vessels
Think-walled cylinders




5. AXIAL DEFORMATION OF BARS: Statistically indeterminate system
Introduction
General consideration
Force method of analysis
Introduction to the displacement method
Displacement method with several degrees of freedom
Statistically indeterminate nonlinear


6.TORSION
Torsion of circular elastic bars
Torsion of inelastic circular bars
Torsion of solid noncircular members
Torsion of thin-walled tubular members


7. BEAM STATICS
Calculation of reactions
Direct approach for P,V and M
C V and M by integration
V and M by integration
V and M by Singularity Function

8. SYMMETRIC BEAM BENDING
Introduction
Basic Kinematic Assumption
The Elastic Flexure Formula
Computation of the moment of inertia
Applications of the Elastic Flexure Formula
Stress Concentrations
Elastic Strain Energy in Pure Bending
Inelastic Bending of Beams
Beams of Composite Cross Section
Curved Bars

9.UNSYMMETRIC (SKEW) BEAM BENDING
Introduction
Double Symmetric Cross Section
Beams with Arbitrary Cross Sections

10. SHEAR STRESS IN BEAMS
Introduction
Preliminary Remarks
Shear Flow
The Shear stress Formula for Beams
Warpage of Plane Sections Due to Shear
Some Limitations of the Shear stress Formula
etc.

11. STRESS AND STRAIN TRANSFORMATION
Introduction
Transformation of Stress
Transformation of Strain

12. Yield and Fracture Criteria
Introductory Remarks
Maximum Shear-Stress Theory
Maximum Distortion-energy Theory
Comparison of maximum-shear and Distortion-energy theories for plane stress
etc

13. ELASTIC STRESS ANALYSIS
Introduction
Elastic Stress Analysis
Elastic Design for strength

14. BEAM DEFLECTIONS BY DIRECT INTEGRATION
Introduction
Moment-Curvature Relation
Governing Deferential Equation
Alternative Derivation of the Governing Equation
Alternative Forms of the Governing Equation
etc

15. BEAM DEFLECTIONS BY THE MOMENT-AREA METHOD
General Remarks
Introduction to the moment-area Method
Moment-area Theorems
Statically Intermediate Beams, Problems


16. COLUMNS INTRODUCTION
Examples of instability
Criteria for stability for equilibrium
Column buckling theory
Design of columns

17. ENERGY AND VIRTUAL WORK
Elastic strain energy and external work
Virtual work methods Virtual work principles
Virtual force for deflections
Virtual force equations for elastic systems

18. CLASSICAL ENERGY METHODS
introduction
General remarks
Strain energy and complementary strain energy theorem
Castigliano's theorem
Statistically indeterminate system
Elastic energy for bucking loads
problems

19. ELASTIC ANALYSIS OF SYSTEMS
Introduction
Two basic method for elastic analysis
Force method
Flexibility coefficients reciprocity
Introduction to displacement method
Further remarks on displacement method
etc.

20. PLASTIC LIMIT ANALYSIS
Introduction
Plastic limit analysis of beams
Continuous beam and frames
Problems

Includes bibliographical references and index.