Current Text: Analysis and Design of Flight Vehicle Structures by Bruhn, S.R. Jacos & Associates, Inc.

Pure Torsion

• Torsion of Members with Circular Cross-Sections
  • (a) Elastic and Homogeneous
  • (b) Elastic and Non-homogeneous
  • (c) Inelastic and Homogeneous
  • (d) Inelastic and Non-homogeneous
  • (e) Residual Stress Distribution
• Transmission of Power by a Cylindrical Shaft
• Torsion of Members with Non-Circular Cross-Sections
• Elastic Membrane Analogy
• Torsion of Open Sections Composed of Thin Plates
• Torsion of Solid Non-Circular Shapes and Thick-Walled Tubular Shapes
• Torsion of Thin-Walled Closed Sections
• Expression for Torsional Moment in Terms of Internal Shear Flow Systems for Multiple-Cell Closed Sections
• Distribution of Torsional Shear Stresses in a Multiple-Cell Thin-Walled Closed-Section: Angle of Twist
• Stress Distribution and Angle of Twist for 2-Cell Thin-Walled Closed Section
• Torsion of Thin-Walled Cylinders Having Closed Type Stiffeners
• Effect of End Restraint on Members Carrying Torsion

Pure Bending

• Review
  • Product of Inertia
  • Parallel Axis Theorem
• Elastic and Homogeneous Beam Bending for Symmetric Loading
  • (a) Neutral Axis Location
  • (b) Normal Stress Distribution (Eq. A13.13)
  • (c) Symmetric and Unsymmetric Cross Sections
• Elastic and Homogeneous Beam Bending for Unsymmetric Loading
  • (a) Neutral Axis Location
  • (b) Normal Stress Distribution (Eq. A13.13)
  • (c) Symmetric and Unsymmetric Cross Sections
• Elastic an Non-homogeneous Beam Bending for Symmetric Loading
  • (a) Neutral Axis Location
  • (b) Normal Stress Distribution
  • (c) Symmetric and Unsymmetric Cross Sections
• Inelastic and Homogeneous Beam Bending for Symmetric Loading
  • (a) Neutral Axis Location
  • (b) Normal Stress Distribution
  • (c) Symmetric and Unsymmetric Cross Sections
• Curved Beams: Stresses within the Elastic Range for Symmetric Loading
  • (a) Neutral Axis Location
  • (b) Normal Stress Distribution
  • (c) Symmetric Cross Sections

Transverse Shear Loading of Beams with OPEN Cross Sections

• Shear Center Definition
• Formula for Average Flexural Shear Stress
  Restrictions:
  • (a) Elastic Condition
  • (b) Constant Moment of Inertia (uniform) Beams
  • (c) Solid Symmetric Cross-Section
  • (d) Applied Shear Loads Passing Through the Shear Center
• Maximum Shear Stresses for Simple Cross-Sections
• Derivation of Flexural Shear Flow Equation. Symmetrical Beam Section
• Shear Flow, Shear Stress and Shear Center for Beam Sections with One Axis of Symmetry
• Shear Flow and Shear Stresses Determined for Two Cases:
  • Applied Shear Loads Passing Through the Shear Center
  • Applied Shear Loads NOT Passing Through the Shear Center
• Shear Stress for Unsymmetrical Beam Sections
• Shear Flow and Shear Stress for Unsymmetrical Beam Sections
• Beams With Constant Shear Flow Webs (i.e., skin-stringer type structures)

Transverse Shear Loading of Beams with CLOSED Cross Sections

• Single Cell Beam: Symmetrical About One Axis
  The Entire Section Effective in Bending. Shear Flow Distribution Obtained by
  • (a) Shear Center Method
  • (b) Direct Method
• Single Cell - Two Flange Beam. Constant Shear Flow Webs
  • (a) Shear Flow Distribution
  • (b) Shear Center Calculation
• Single Cell - Three Flange Beam. Constant Shear Flow Webs
  • (a) Shear Flow Distribution
  • (b) Shear Center Calculation
• Single Cell - Multiple Flange Beams. Symmetric and Unsymmetric
• Multiple Cell - Multiple Flange Beams. Symmetrical and Unsymmetric
• The Determination of the Flexural Shear Flow Distribution by Considering the Changes in Flange Loads (The Delta P Method)
• Shear Flow in Tapered Sheet Panel
  Shear Flow Distribution and Axial Force Calculations in Tapered Multiple Flange Single- and Two-Cell Beams

Combined Loading

• Torsion and Bending Combination
• Torsion, Bending, and Internal Pressure Combination

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