Shear and Bending
  • Lecture 1: Shear and Bending (PDF)
  • Lecture 2: Balance (PDF)
2Characteristics of Thin Walled Sections
  • Lecture 3: Bending Without Twist (PDF)
  • Lecture 4: Pure Twist Open Section (PDF)
  • Lecture 5: Pure TwistCLOSED Section (PDF)
  • Lecture 6: Pure and Warping Torsion (PDF)
  • Lecture 7: Calculation Of SectionPROPERTIES - 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)]
  • Lecture 7a: Calculation of Section Properties Closed (PDF)
  • Lecture 8: Shear Center - Closed Section (PDF)
    Includes example problem.
  • Lecture 8a: Shear Stress Multicell Section (PDF)
    Example problem separate.
  • Lecture 8b: St. Venant Torsion Multi-cell (PDF)
  • Lecture 9a: Composite Sections (PDF)
    One of three minor topics.
  • Lecture 9b: Shear Lag (PDF)
    Second of three minor topics.
  • Lecture 9c: Yield Criteria (PDF)
3Design Approach and Failure Analysis
  • Design Philosophy and Approach (PDF)
  • Loads and Design ApproachCONTINUED (PDF)
4Plate Bending
  • Plate Bending Introduction (PDF)
  • Plate Bending (PDF)
  • Plate Bending Solution (PDF)
5Panel, Girder, Frame Bending Failure Analysis
  • Panel, Girder and Frame Limit States (PDF)
6Buckling and Ultimate Strength of Columns
  • Buckling (PDF)
    Overview of column buckling leading to CCB and GCCP failure criteria.
7Buckling and Ultimate Strength of Plates
  • Plate Buckling (PDF)
    PFLB.
8Buckling of Stiffened Panels
  • Buckling of Stiffened Panels (PDF)
    PCCB and PCSB.
9Ultimate Strength of Stiffened Panels
  • Ultimate Strength of Stiffened Panels (PDF)
    PCSF Modes I, II, III.
10Matrix, Grillage and FEM Analysis
  • Intro to Matrix Analysis (PDF)
    [Summary of Chapter 1 from Zienkiewicz -- The Finite Element Method, any of five editions.]
  • Matrix AnalysisCONTINUED (PDF)
    [Section 5.2 of Hughes.]
  • Pin-jointed Beam Example (PDF)
    [Example from Hughes page 191 ff.]
  • Flexure Only Beam - General Method (PDF)
    [Section 5.3 of Hughes.]
  • Grillage Introduction Degrees of Freedom (PDF)

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