CHAPTER 4: FRAMES

The following sections are included:

• Introduction

• HBM for Buckling and Vibration of Typical Member

  • Problem definition

  • Development of HBM

  • HBM matrix formulations

• HBM for Buckling of General Frame with Multi-member Connection

  • Problem definition

  • Development of HBM

  • Energy formulations for multi-member connections

  • HBM energy formulations in matrix

• Illustrative Examples

  • Fixed-base column with/without top restraint

  • Buckling and vibration of non-symmetric portal frame

  • Buckling of trapezoidal portal frame

  • Buckling of two-storey frame with semi-rigid beam–column connections

• Comparing HBM, Traditional Matrix Method, and FEM

  • Traditional matrix stiffness method (MSM)

  • Portal frame with local structural changes

  • Portal frame with non-uniform columns

  • Advantage of HBM matrix method over MSM and FEM

• Concluding Remarks

• Exercises

• Appendix. MATLAB Code for Stiffness Matrices in HBM Matrix Method

• References