Program Newton Vol.1

Program Euler Vol.2

Program Billiards Vol.3

Program Truss Vol.4

Program Flow Vol.5

Program TestTube Vol.6

Programs Beams, Frame and SpFrame Vol.7

Programs Beams, Frame and SpFrame

The programs Beams, SpFrame_java, Frame and SpFrame_pascal belong to Volume 7.

Their concepts are discussed in the paper: 'The theory of elastic beams and its finite element implementation'.

Beams implements the solution of St.Venant's problem. The solution is based upon a virtual work formulation of the problem, which with TRIM6 finite elements leads to linear equations for the nodal values of the warping function.
Download Beams .zip 129 kB

SpFrame_java implements the finite element model of prismatic beams, based upon the elastic line concept.
Download SpFrame_java .zip 245 kB

Frame is a program for the analysis of two-dimensional beam structures. The program can handle arbitrary large displacements and rotations, provided the strains (outside plastic hinges) remain small.
Download Frame .zip 419 kB

SpFrame_pascal is a program for the static and dynamic analysis of three-dimensional beam structures and mechanisms.
Download SpFrame_pascal .zip 717 kB (Please read the introduction to the programs)