In this chapter we will consider analysis of structural members under pure torsion. The only exception appears in the discussion of members in differential bending where cross-sectional warping is prevented. We begin with a review of mechanics of materials and discuss torsion of members with circular cross sections. Both elastic and inelastic stress states are considered for both homogeneous and non-homogeneous members. We then proceed with the elastic torsional analysis of members with solid or hollow non-circular cross sections. This is followed by the elastic torsional analysis of thin-walled members with open cross sections such as an I or a T. Next we examine the torsion of thin-walled structures with closed cross sections. We conclude this section with the torsional analysis of multi-cell, thin-walled stiffened members, typical of wing and fuselage structures.

  • I.1 Torsion of Circular Bars
  • I.2 Torsion of Non-Circular Bars

  • I.3 Elastic Membrane Analogy

  • I.4 Torsion of Thin-Wall Open Sections

  • I.5 Torsion of Solid Non-Circular Shapes and Thick-Wall Tubular Shapes

  • I.6 Torsion of Thin-Wall Closed Sections

  • I.7 Torsion-Shear Flow Relations in Multiple-Cell Closed Sections

  • I.8 Shear Stress Distribution and Angle of Twist for Two-Cell Thin-Wall Closed Sections

  • I.9 Shear Stress Distribution and Angle of Twist for Multiple-Cell Thin-Wall Closed Sections

  • I.10 Torsion of Stiffened Thin-Wall Closed Sections

  • I.11 Effect of End Restraint

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