Basic Engineering Theory (pdf file), click on a chapter to see the paragraphs.

1. Mechanics of Materials: Stress
   1. Introduction
   2. Plane Stress and Coordinate Transformations
   3. Principal Stress for the Case of Plane Stress
   4. Mohr's Circle for Plane Stress
   5. Mohr's Circle Usage in Plane Stress
   6. Examples of Mohr's Circles in Plane Stress
2. Mechanics of Materials: Strain
   1. Introduction
   2. Plane Strain and Coordinate Transformations
   3. Principal Strain for the Case of Plane Strain
   4. Mohr's Circle for Plane Strain
   5. Mohr's Circle Usage in Plane Strain
   6. Examples of Mohr's Circles in Plane Strain
3. Hookes's Law
   1. Introduction
   2. Orthotropic Material
   3. Transverse Isotropic
   4. Isotropic Material
   5. Plane Stress
   6. Plane Strain
   7. Finding E and n
   8. Finding G and K
4. Failure Criteria
   1. Introduction
   2. Yield of Ductile Material
   3. Failure of Brittle Material
   4. Prevention/Diagnosis
5. Beams
   1. The Euler/Bernouilli Beam Equation
   2. Kinematics
   3. Constitutive Relations
   4. Resultants
   5. Force Equilibrium
   6. Definition of Symbols
   7. Sign Convention for Euler/Bernouilli Beams
6. Buckling
   1. Introduction Compression Members
   2. Critical Load, Eulers Formula
   3. Elastic Buckling
   4. Inelastic Buckling, Intermediate Columns
   5. Initially Curved Columns, Imperfections in Columns
   6. Eccentric Axial Loads
   7. Beam Column Equation
7. Dynamics
   1. Introduction Single Degree of Freedom Systems
   2. Undamped SDOF Systems
   3. Damped SDOF Systems
   4. Harmonic Excitation
   5. General Forcing
   6. Glossary of SDOF Systems
   7. Multiple Degree of Freedom Systems
   8. Example 1: Moving Vehicle
   9. Example 2: Accelerometer & Seismometer
8. Fluid Mechanics
   1. Overview of Fluid Mechanics
   2. Navier Stokes
   3. Bernouilli
   4. Fluid Statics
   5. Friction Losses
   6. Glossary of Fluid Mechanics
9. Heat Transfer
   1. Introduction to Heat Transfer
   2. Fourier Law of Heat Conduction
   3. Steady State 1D Heat Conduction
   4. Electrical Analogy for 1D Heat Conduction
   5. 1D Heat Conduction Symbols
   6. Convection
   7. Non-Dimensional Parameters
   8. Forced Convection
   9. Forced Convection, Flow over a Plate
   10. Free Convection
   11. Radiation
   12. Radiation of a Black Body
   13. Radiation View Factors
   14. Glossary of Heat Transfer
10. Classical Plate Equation
    1. Introduction
    2. Kinematics
    3. Constitutive Relations
    4. Resultant Forces
    5. Equilibrium
    6. Sign Convention