Chapter 1

Matrix Methods of Structural Analysis

Review of basic structural theorems

medium • 1 min read

Flexibility and stiffness matrices for elements

medium • 2 min read

Transformations of coordinates

medium • 3 min read

Global stiffness matrix assembly

medium • 4 min read

Treatment of boundary conditions and joint loads

medium • 5 min read

Chapter 2

Analysis of Skeletal Structures

Stiffness method for continuous beams

medium • 1 min read

Analysis of 2D and 3D pin-jointed trusses

medium • 2 min read

Analysis of rigid-jointed plane frames

medium • 3 min read

Analysis of space frames

medium • 4 min read

Grid structures and grillage analysis

medium • 5 min read

Chapter 3

Advanced Topics in Matrix Analysis

Static condensation techniques

medium • 1 min read

Sub-structuring method

medium • 2 min read

Symmetry and anti-symmetry considerations

medium • 3 min read

Analysis of structures with internal hinges

medium • 4 min read

Temperature effects and lack of fit

medium • 5 min read

Chapter 4

Nonlinear Structural Analysis

Sources of nonlinearity (geometric and material)

medium • 1 min read

P-Delta effect and stability analysis

medium • 2 min read

Incremental and iterative solution strategies

medium • 3 min read

Newton-Raphson method for nonlinear problems

medium • 4 min read

Elasto-plastic analysis of frames

medium • 5 min read

Chapter 5

Influence Lines for Indeterminate Structures

Muller-Breslau principle applications

medium • 1 min read

Influence lines for continuous beams

medium • 2 min read

Influence lines for rigid frames

medium • 3 min read

Effect of moving loads on indeterminate trusses

medium • 4 min read

Use of commercial software for moving loads

medium • 5 min read