This course is designed to introduce students who wish to specialize in stress analysis of thin-walled structures to more advanced topics such as the analysis of statically indeterminate structures, warping, constraint stresses, shear diffusion, and elements of plate bending.

  • Computation of structural deflections for thin-walled structures – continuation. (Applying the Dummy Unit Load Method, computation of relative displacements).
  • Analysis of Statically Indeterminate Structures. (External vs internal redundancies, multiple redundancies, applications to wing and fuselage structures).
  • Engineering theory of bending for open and closed tubes’ an overview. (General stress, strain and displacement relationships for open and closed tubes).
  • Shear flow in open and closed tubes.
  • Twist and warping of shear loaded closed tubes.
  • Displacements associated with the Bredt-Batho shear flow.
  • Warping distribution of a doubly symmetrical rectangular closed tube subjected to a torque.
  • Warping of open tubes.
  • Axial constraint stresses in open tubes. (The Wagner torsion-bending theory, calculation of the torsion bending constant, the wire analogy for flat sided sections).
  • Axial constraint stresses in closed tubes. (Doubly symmetrical single cell, 4-boom tube under torsion).
  • Shear diffusion. (Axial constraint stresses in a doubly symmetrical single cell 6 stringer tube subjected to a transverse shear force).
  • Elements of plate bending theory. (Kirchhoff’s assumptions, equilibrium equations via the stationary value of the potential energy, Kirchhoff”s derivation of the boundary conditions, simply supported rectangular plate under sinusoidal loading, Navier’s solution for simply supported rectangular plates, the Green’s function of the rectangular plate).
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Advanced Structural Analysis by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Based on a work at https://ocw.tudelft.nl/courses/advanced-structural-analysis/.
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