Probable Coverage: (as time permits)

1.    Introduction (Ch. 2 and appendix I of Reference 5)

• A few historical notes

• Extrema of functions and constrained functions

• Functionals defined

• Extrema of functionals and constrained functionals

2.    Mathematical Preliminary (Ch. 2):

• Vector

• Tensors

3.    Review of Equation of Solid Mechanics (Ch.3):

• Stress

• Strain

• Constitutive Laws

4.    Work, Energy and Variational Calculus (Ch.4):

• Concept of Work and Energy

• Strain Energy and Complementary Strain Energy

• Virtual Work

• Calculus of Variations

5.    Energy Principles of Structural Mechanics (Ch.5):

• Principles of Virtual Work

• Principles of Complementary Virtual Work

• Principles of Stationary and Minimum Potential Energy

• Principle of Stationary Complementary Energy

• Castigliano's Theorems 

6.    Dynamical Systems: Hamilton's Principles (Ch.6):

• Extension of Virtual Work to Dynamic Systems

• Generalized Hamilton's Principle

• Applications

7.    Finite Element Method (Ch.7):

• Spring Element

• Bar Element

• Beam Element

Grading:

How to Succeed

• Accept that it is your responsibility to learn the material (in spite of the book or teacher)
• Show up and become engaged with the topics
• Do the homework daily so you can ask questions in class
• Use you resources for help (classmates, upperclassmen, faculty, the library)