stiffness method of structural analysis examples

Application to Indeterminate Structures.Influence Line for Statically Determinate Structures.Geometrically symmetric structure under general loadings.Geometrically symmetric structure under anti-symmetrical loadings.Geometrically symmetric structure under symmetrical loadings.Solve for primary unknowns and determine other quantities.Equilibrium equations associated with sway degrees of freedom.Determination of sway angle by instantaneous center of rotations (ICR).End rotations and sway angle of members.Analysis of Structures by Slope-deflection Equations.Symmetric member and Anti-symmetric member.Slope-deflection Equations for Special Members.Alternative Form of Slope-deflection Equations.Moment-shear interaction of longitudinally stiffened girders.Restricting a Matrix – Imposing Restraints.Kinematic Indeterminancy: Stiffness method.The Six Nodes Triangle Membrane Element T6.Simplified Bernoulli-Euler Beam Element.Local axes – Global axes – Transformation Matrix.Illustration of the FEM theory with the 2 nodes bar element.Seven Steps in the Finite Element Method.

Element nodal interpolation operators and interpolation error estimates.Triangulations and ﬁnite element spaces.RITZ–GALERKIN METHODS FOR LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS.Formulation for plane stress and plane strain.FEM formulation for a linear differential equation.INTRODUCTION OF FINITE ELEMENT ANALYSIS.Moment-Rotation Characteristics of General Cross Section.

Stiffness method of structural analysis examples