A “principal stress cap” model for stresses in a circular silo with an off-centre circular core: Finite core models, including filled silos, incipient flow and switch stresses

Abstract Stresses have been modelled in a silo with offset centre of stress and finite circular core, using the methodology developed by Matchett et al. (2015) . Several types of core-annulus stress interactions have been proposed and some of the problems in the original Virtual Core model have been ameliorated. However, the selection of the most appropriate model is limited by lack of data on internal stress distributions within silos and the observation that different internal structures can give similar wall stress values. Passive systems with convex stress cap and active stress systems with concave stress cap have been modelled. In order to keep wall shear stresses and internal stresses below the yield limits, the model suggests that deep, completely filled silos would have very small values of wall arc normal angles, βc and βw, and stress eccentricity, Ecc. Deep, filled silos with high stress eccentricity and large wall normal angles are not viable. Incipient flow and the stress switch have been simulated. Output data suggest wide variation in wall stresses both axially and azimuthally are possible, at high stress eccentricities, which would have structural implications.

[1]  John W. Carson Silo failures: case histories and lessons learned , 2001 .

[2]  Muhammad E. Fayed,et al.  Handbook of Powder Science & Technology , 1997 .

[3]  Jacek Tejchman,et al.  Simulation of buckling process of cylindrical metal silos with flat sheets containing bulk solids , 2015 .

[4]  A. J. Matchett,et al.  A model for stresses in a circular silo with an off-centre circular core, using the concept of a principal stress cap: Solution for a completely filled silo and comparison with Janssen and DEM data , 2015 .

[5]  Jin Y. Ooi,et al.  A numerical study of wall pressure and granular flow in a flat-bottomed silo , 2015 .

[6]  R. Nedderman Statics and Kinematics of Granular Materials: Euler's equation and rates of strain , 1992 .

[7]  I. Sielamowicz,et al.  Comparative analysis of empirical descriptions of eccentric flow in silo model by the linear and nonlinear regressions , 2015 .

[8]  Jacek Tejchman,et al.  Critical assessment of Eurocode approach to stability of metal cylindrical silos with corrugated walls and vertical stiffeners , 2015 .

[9]  Adam J. Sadowski,et al.  Buckling of very slender metal silos under eccentric discharge , 2011 .

[10]  A. Lapko Pressure of agricultural bulk solids under eccentric discharging of cylindrical concrete silo bin , 2010 .

[11]  I. Sielamowicz,et al.  Empirical description of flow parameters in eccentric flow inside a silo model , 2010 .

[12]  I. Sielamowicz,et al.  Empirical analysis of eccentric flow registered by the DPIV technique inside a silo model , 2011 .

[13]  C. González-Montellano,et al.  Full-scale tests to measure stresses and vertical displacements in an 18.34m-diameter agricultural steel silo roof , 2014 .

[14]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[15]  G. Enstad,et al.  ON THE THEORY OF ARCHING IN MASS FLOW HOPPERS , 1975 .

[16]  V. Askegaard,et al.  Results from tests with normal and shear stress cells in a medium-scale model silo , 1985 .