1 Introduction
2 Torsion Fundamentals
  2.1 Shear Center
  2.2 Resistance of a Cross-Section to A Torsional
      Moment
  2.3 Avoiding and Minimizing Torsion
  2.4 Selection of Shapes for Torsional Loading
3 General Torsional Theory
  3.1 Torsional Response
  3.2 Torsional Properties
      3.2.1 Torsional Constant J
      3.2.2 Other Torsional Properties for Open
            Cross-Sections
  3.3 Torsional Functions
4 Analysis for Torsion
  4.1 Torsional Stresses on I-, C-, and Z-Shaped Open
      Cross-Sections
      4.1.1 Pure Torsional Shear Stresses
      4.1.2 Shear Stresses Due to Warping
      4.1.3 Normal Stresses Due to Warping
      4.1.4 Approximate Shear and Normal Stresses Due
            to Warping on I-Shapes
  4.2 Torsional Stress on Single Angles
  4.3 Torsional Stress on Structural Tees
  4.4 Torsional Stresses on Closed and Solid
      Cross-Sections
  4.5 Elastic Stresses Due to Bending and Axial Load
  4.6 Combining Torsional Stresses with Other Stresses
      4.6.1 Open Cross-Section
      4.6.2 Closed Cross-Sections
  4.7 Specification Provisions
      4.7.1 Load and Resistance Factor Design
      4.7.2 Allowable Stress Design
      4.7.3 Effect of Lateral Restraint at Load Point
  4.8 Torsional Serviceability Criteria
5 Design Examples
Appendix A - Torsional Properties
Appendix B - Case Graphs of Torsional Functions
Appendix C - Supporting Information
C.1 General Equations for ? and its Derivatives
    C.1.1 Constant Torsional Moment
    C.1.2 Uniformly Distributed Torsional Moment
    C.1.3 Linearly Varying Torsional Moment
C.2 Boundary Conditions
C.3 Evaluation of Torsional Properties
    C.3.1 General Solution
    C.3.2 Torsional Constant J for Open
          Cross-Sections
C.4 Solutions to Differential Equations for
    Cases in Appendix B
References
Nomenclature