Analysis of the stress distribution in two-dimensional bins by the method of characteristics

Abstract

The method of characteristics, as outlined by Sokolovski [8], is used to calculate the stress distribution in two-dimensional parallel-sided bins containing granular material under either a uniform or zero surcharge. Both active and passive states are considered and the analyses are extended to include cohesive as well as cohesionless materials. In the active state, a continuous stress distribution is generated. The method of computing this has been investigated by many workers [3, 8, 9]. In the passive state, however, a discontinuity is shown to emanate from the top comer and be “reflected” at the centreline and wall, thus proceeding down the bin. The numerical method of computation is outlined. Wall stresses by this method are compared with those by the Janssen—Walker method [5]. There are large discrepancies, especially in the passive state, although the somewhat oscillatory plot of stresses by the method of characteristics does seem to be about the corresponding Janssen—Walker curve.