Lecture Notes


UNIT # NOTES
1

Shear and Bending

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

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)
3

Design Approach and Failure Analysis

  1. Design Philosophy and Approach (PDF)
  2. Loads and Design Approach continued (PDF)
4

Plate Bending

  1. Plate Bending Introduction (PDF)
  2. Plate Bending (PDF)
  3. Plate Bending Solution (PDF)
5

Panel, Girder, Frame Bending Failure Analysis

  1. Panel, Girder and Frame Limit States (PDF)
6

Buckling and Ultimate Strength of Columns

  1. Buckling (PDF)
    Overview of column buckling leading to CCB and GCCP failure criteria.
7

Buckling and Ultimate Strength of Plates

  1. Plate Buckling (PDF)
    PFLB.
8

Buckling of Stiffened Panels

  1. Buckling of Stiffened Panels (PDF)
    PCCB and PCSB.
9

Ultimate Strength of Stiffened Panels

  1. Ultimate Strength of Stiffened Panels (PDF)
    PCSF Modes I, II, III.
10

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)