Mechanics of Materials

Author(s): Aaron D. Mazzeo

• 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