CHAPTER 5: ARCHES AND RINGS

The following sections are included:

• Introduction

• Assumptions on Load Behavior in Arch Buckling

• Funicular Arch Buckling Problem

  • Problem definition

  • Condition for buckling and axial force expressions

• HBM for Buckling Analysis of Arches

  • Description of HBM

  • HBM stiffness matrix formulation

  • Governing equation considering compatibility conditions

  • Preprocessing of input parameters

• Illustrative Problems

  • Pinned-ended circular arch under uniform radial pressure

  • Fixed-ended circular arch under uniform radial pressure

  • Rotationally restrained circular arch under uniform radial pressure

  • Symmetric catenary arch under uniform vertical load along arc length

  • Non-symmetric catenary arch under uniform vertical load along arc length

  • Catenary arch with an internal rotational spring

• Buckling of Triangular Arches

• Buckling of Trapezoidal Arches

• Buckling of Rings

• Concluding Remarks

• Exercises

• Appendix. MATLAB Code for Buckling Analysis of Arches Using HBM

• References