Cc. Mounfield et Sf. Edwards, A THEORETICAL-MODEL FOR THE STRESS-DISTRIBUTION IN GRANULAR MATTER .2. FORCES IN PIPES, Physica. A, 226(1-2), 1996, pp. 12-24
As an application of the model we have developed for the stress within
a granular material we consider the force distribution within vertica
l and horizontal pipes. For a vertical pipe (with rough walls) the ave
rage forces in the system follow the arch of a catenary between the wa
lls. For a horizontal pipe pressure exerted at one end of the pipe is
transmitted in right cones to the walls with the stress free region en
ding in a cone whose apex is at the face of the open end.