As a physics student, I am currently writing an independent assignment about applications of continuum mechanics (the study of waves, deformation, and stress in objects), in this assignment, I have chosen to look at the deformation of the ancient Macedonian Sarissa pike due to gravity.
To describe this system I do, however, need to have some idea about how the mass of the Sarrisa was distributed along the length of the pike.
There are in particular two things I need to know – which I have not been able to find satisfying answers to:
Firstly; in this article (page 20) I have found that the diameter of the Sarissa at the spear-head and spear-butt was 4 to 5 cm, but I do still not know if this diameter was constant along the entire length of the weapon, or if the shaft was thicker at points, and – if yes – how the radius varied along the length of the shaft
Secondly; in some – but not all – images of reconstructed Sarissae or diagrams, the shaft is depicted as being made of two pieces of wood joined together by a metal cylinder; this cylinder can be seen on this image:
but is absent from these historical images:
If at all possible, I would very much prefer if you in your answers either refer to studies, historical documents or archaeological findings.