Chapter 11 Matrix Displacement Method 11.1 Introduction 11.2 Element stiffness matrix 11.3 Structural global stiffness matrix 11.4 Examples of matrix displacement method Chapter 12 Ultimate Load of the Structure 12.1 Overview 12.2 Ultimate moment and plastic hinge 12.3 Ultimate load of single-span statically indeterminate beam 12.4 Several theorems about the ultimate load 12.5 Trial algorithm for calculating ultimate load 12.6 Ultimate load of continuous beam 12.7 Ultimate load of rigid frame Chapter 13 Structural Stability 13.1 Introduction 13.2 Critical load of columns by static equilibrium method 13.3 Critical loads of column with elastically restrained end 13.4 Critical load by energy method 13.5 Critical load of compression bar with variable cross section 13.6 Critical load considering shear effect Chapter 14 Structural Dynamics 14.1 Overview 14.2 Degree of freedom of structural vibration 14.3 Free vibration of single degree of freedom structure (SDF) 14.4 Forced vibration of a single degree of freedom structure under harmonic loading 14.5 Single degree of freedom for forced vibrations under arbitrary loads 14.6 Free vibration of multi-degree of freedom structures 14.7 Forced vibration of multi-degree of freedom structures under harmonic loads Index References