Point masses Vol.1

Rotating bodies Vol.2

Colliding bodies Vol.3

Trusses Vol.4

Flow of gasses and liquids Vol.5

Deformation of solid bodies Vol.6

Beams Vol.7

Beams

In Volume 7 we apply the theory to structures built-up from beams.

The theory of St.Venant determines the stresses and deformations in a prismatic beam, made of an isotropic, linearly elastic material. The finite element model now makes a realistic simulation of large displacements and rotations of elastic rods and beams a matter of straightforward desk computations.
For the stiffness and vibration analysis of structures, built-up from slender structural elements, these elements can be represented for their mechanical behaviour by 'elastic lines'.

Download Volume 7.

Based upon the elastic line model of beams illustrative computer programs have been developed. There are the Pascal-programs 'Frame' and 'SpFrame', as well as the Java-programs 'Beams' and 'SpFrame'. The reader is invited to explore the mechanical behaviour of beam structures by means of these interactive programs.
Computer programs 'Beams', 'Frame' and 'SpFrame".