Mechanics of Materials

Author(s): Aaron D. Mazzeo

Chapters and Syllabus for Printable PDF

 * /Background/
 * 1. Introduction to Mechanics of Materials
 * 2. Physical Units and Standards
 * 3. Static Equilibrium
 * 3.1 Free Body Diagrams
 * 3.2 Static Form of Newton's Second Law of Motion
 * 3.3 Static Equilibrium of Trusses
 * 3.4 Static Equilibrium of Beams


 * 4. Axial Loading
 * 4.1 Bars as Springs
 * 4.2 Axially Loaded Bars in Series and Parallel
 * 4.3 Indeterminate Axial Loading of Bars


 * 5. Stress and Strain
 * 5.1 Normal Stress
 * 5.2 Shear Stress
 * 5.3 Normal Strain
 * 5.4 Shear Strain
 * 5.5 Stress and Strain in a Bar


 * 6. Material Properties
 * 6.1 Stress-Strain Relationships for Ductile Materials
 * 6.2 Stress-Strain Relationships for Brittle Materials
 * 6.3 Poisson's Ratio
 * 6.4 Modulus of Resilience
 * 6.5 Fatigue
 * 6.5 Uniaxial Failure from Yielding
 * 6.6 Material Selection Charts


 * 7. Material Testing
 * 7.1 Tensile and Compressive Tests
 * 7.2 Fatigue Testing


 * 8. Torsion
 * 8.1 Angular Displacement in a Twisted Rod
 * 8.2 Shear Strain in a Twisted Rod
 * 8.3 Elasticity of a Twisted Rod


 * 9. Beam Bending
 * 9.1 Relationship between Moment and Curvature
 * 9.2 Displacement across a Beam
 * 9.3 Statically Indeterminate Beams
 * 9.4 Typical Beam Bending Conditions, Displacements, and Slopes


 * 10. Combined Loading
 * 10.1 Stress Transformations
 * 10.2 Mohr's Circle for Stress
 * 10.3 Shear Transformations
 * 10.4 Mohr's Circle for Strain


 * 11. Failure Criteria for Static Loading
 * 11.1 Maximum Normal Stress
 * 11.2 Maximum Shear Stress
 * 11.3 Maximum Distortion Energy
 * 11.4 Safety Factors


 * 12. Pressure Vessels


 * 13. Beam Buckling