Lecture notes covering classical and finite element methods for structural analysis. Click a card to preview the slides in your browser, or download / share them.
Best practice guidelines for finite element analysis: meshing, boundary conditions and result validation.
FE formulation for truss structures, axial elements and assembly of global stiffness.
Beam element formulation, shape functions and stiffness matrix derivation.
Continuation of beam FE: distributed loads, equivalent nodal forces and worked examples.
Plane and space frame FE: combined axial and bending behaviour with coordinate transformations.
Direct integration techniques for solving structural equilibrium and dynamic equations.
Virtual work method for determining displacements and forces in structures.
Energy-based formulation using stationary total potential energy for equilibrium.
Flexibility (force) method using strain energy for indeterminate structures.
Hardy Cross moment distribution method for analysis of continuous beams and frames.
Slope deflection method for analysis of continuous beams and rigid frames.
Complimentary energy method for displacement analysis of structures.