Lecture Notes


Shear and Bending

  1. Lecture 1: Shear and Bending (PDF)
  2. Lecture 2: Balance (PDF)

Characteristics of Thin Walled Sections

  1. Lecture 3: Bending Without Twist (PDF)
  2. Lecture 4: Pure Twist Open Section (PDF)
  3. Lecture 5: Pure Twist Closed Section (PDF)
  4. Lecture 6: Pure and Warping Torsion (PDF)
  5. Lecture 7: Calculation Of Section Properties - Open (PDF)
    [This consists of four parts (and how we will treat each) (suggest printing at most pages 1-9)
    A - derivation of geometric algorithms for section properties (cover quickly for sense of approach)
    B - derivation of first moment approach (for info - not covered)
    C - computational routine resulting from A (demo a few examples - routine available in lab)
    D - computational routine resulting from B (routine available in lab)]
  6. Lecture 7a: Calculation of Section Properties Closed (PDF)
  7. Lecture 8: Shear Center - Closed Section (PDF)
    Includes example problem.
  8. Lecture 8a: Shear Stress Multicell Section (PDF)
    Example problem separate.
  9. Lecture 8b: St. Venant Torsion Multi-cell (PDF)
  10. Lecture 9a: Composite Sections (PDF)
    One of three minor topics.
  11. Lecture 9b: Shear Lag (PDF)
    Second of three minor topics.
  12. Lecture 9c: Yield Criteria (PDF)

Design Approach and Failure Analysis

  1. Design Philosophy and Approach (PDF)
  2. Loads and Design Approach continued (PDF)

Plate Bending

  1. Plate Bending Introduction (PDF)
  2. Plate Bending (PDF)
  3. Plate Bending Solution (PDF)

Panel, Girder, Frame Bending Failure Analysis

  1. Panel, Girder and Frame Limit States (PDF)

Buckling and Ultimate Strength of Columns

  1. Buckling (PDF)
    Overview of column buckling leading to CCB and GCCP failure criteria.

Buckling and Ultimate Strength of Plates

  1. Plate Buckling (PDF)

Buckling of Stiffened Panels

  1. Buckling of Stiffened Panels (PDF)
    PCCB and PCSB.

Ultimate Strength of Stiffened Panels

  1. Ultimate Strength of Stiffened Panels (PDF)
    PCSF Modes I, II, III.

Matrix, Grillage and FEM Analysis

  1. Intro to Matrix Analysis (PDF)
    [Summary of Chapter 1 from Zienkiewicz -- The Finite Element Method, any of five editions.]
  2. Matrix Analysis continued (PDF)
    [Section 5.2 of Hughes.]
  3. Pin-jointed Beam Example (PDF)
    [Example from Hughes page 191 ff.]
  4. Flexure Only Beam - General Method (PDF)
    [Section 5.3 of Hughes.]
  5. Grillage Introduction Degrees of Freedom (PDF)