1.

TENSION, COMPRESSION, AND SHEAR.

Introduction to Mechanics of Material.

Statics Review.

Normal Stress and Strain.

Mechanical Properties of Materials.

Elasticity, Plasticity, and Creep.

Linear Elasticity, Hooke's Law, and Poisson's Ratio.

Shear Stress and Strain.

Allowable Stresses and Allowable Loads.

Design for Axial Loads and Direct Shear.


2. AXIALLY LOADED MEMBERS.

Introduction.

Changes in lengths of Axially Loaded Members.

Changes in Lengths under Nonuniform Conditions.

Statically Indeterminate Structures.

Thermal Effects, Misfits, and Prestrains.

Stresses on Inclined Sections.

Strain Energy.

Impact Loading.

Repeated Loading and Fatigue.

Stress Concentrations.

Nonlinear Behavior.

Elastoplastic Analysis.


3. TORSION.

Introduction.

Torsional Deformations of a Circular Bar.

Circular Bars of Linearly Elastic Materials.

Nonuniform Torsion.

Stresses and Strains in Pure Shear.

Relationship Between Moduli of Elasticity E and G.

Transmission of Power by Circular Shafts.

Statically Indeterminate Torsional Members.

Strain Energy in Torsion and Pure Shear.

Torsion of Noncircular Prismatic Shafts.

ThinWalled Tubes.

Stress Concentration in Torsion.


4. SHEAR FORCES AND BENDING MOMENTS.

Introduction.

Types of Beams, Loads, and Reactions.

Shear Forces and Bending Moments.

Relationship Between Loads, Shear Forces and Bending Moments.

ShearForce and BendingMoment Diagrams.


5. STRESSES IN BEAMS (BASIC TOPICS).

Introduction.

Pure Bending and Nonuniform Bending.

Curvature of Beam.

Longitudinal Strains in Beams.

Normal Stress in Beams (Linearly Elastic Materials).

Design of Beams for Bending Stresses.

Nonprismatic Beams.

Shear Stresses in Beams of Rectangular Cross Section.

Shear Stresses in Beams of Circular Cross Section.

Shear Stresses in the Webs of Beams with Flanges.

BuiltUp Beams and Shear Flow.

Beams with Axial Loads.

Stress Concentrations in Bending.


6. STRESSES IN BEAMS (ADVANCED TOPICS).

Introduction.

Composite Beams.

TransformedSection Method.

Doubly Symmetric Beams with Inclined Loads.

Bending of Unsymmetric Beams.

The ShearCenter Concept.

Shear Stresses in Beams of ThinWalled Open Cross Sections.

Shear Stresses in WideFlange Beams.

Shear Centers of ThinWalled Open Sections.

Elastoplastic Bending.


7. ANALYSIS OF STRESS AND STRAIN.

Introduction.

Plane Stress.

Principal Stresses and Maximum Shear Stresses.

Mohr's Circle for Plane Stress.

Hooke's Law for Plane Stress.

Triaxial Stress.

Plane Strain.


8. APPLICATIONS OF PLANE STRESS (PRESSURE VESSELS, BEAMS, AND COMBINED LOADINGS).

Introduction.

Spherical Pressure Vessels.

Cylindrical Pressure Vessels.

Maximum Stresses in Beams.

Combined Loadings.


9. DEFLECTIONS OF BEAMS.

Introduction.

Differential Equations of the Deflection Curve.

Deflections by Integration of the BendingMoment Equation.

Deflections by Integration of the ShearForce and Load Equations.

Method of Superposition.

MomentArea Method.

Nonprismatic Beams.

Strain Energy of Bending.

Castigliano's Theorem.

Deflections produced by Impact.

Temperature Effects.


10. STATICALLY INDETERMINATE BEAMS.

Introduction.

Types of Statically Indeterminate Beams.

Analysis by the Differential Equations of the Deflection Curve.

Method of Superposition.

Temperature Effects.

Longitudinal Displacements at the End of a Beam.


11. COLUMNS.

Introduction.

Buckling and Stability.

Columns with Pinned Ends.

Columns with Other Support Conditions.

Columns with Eccentric Axial Loads.

The Secant Formula for Columns.

Elastic and Inelastic Column Behavior.

Inelastic Buckling.

Design Formulas for Columns.


12. REVIEW OF CENTROIDS AND MOMENTS OF INERTIA.

Introduction.

Centroids of Plane Areas.

Centroids of Composite Areas.

Moments of Inertia of Plane Areas.

ParallelAxis Theorem for Moments of Inertia.

Polar Moments of Inertia.

Products of Inertia.

Rotation of Axes.

Principal Axes and Principal Moments of Inertia.


REFERENCES AND HISTORICAL NOTES.

APPENIDX A. FE EXAM REVIEW PROBLEMS.

APPENDIX B. PROBLEM SOLVING.

APPENDIX C. MATHEMATICAL FORMULAS.

APPENDIX D. PROPERTIES OF PLANE AREAS.

APPENDIX E. PROPERTIES OF STRUCTURALSTEEL SHAPES.

APPENDIX F. PROPERTIES OF STRUCTURAL LUMBER.

APPENDIX G. DEFLECTION AND SLOPES OF BEAMS.

APPENDIX H. PROPERTIES OF MATERIALS.
