Analysis of bending stresses on horizontally corrugated steel silo wall panels
Date
1998
Authors
Gokalp, Zeki
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Bundy, Dwaine S.
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Abstract
This paper is a report of master thesis conducted by Zeki Gokalp under the supervision of Dwaine Bundy, a professor at Iowa State University, to analyze the bending stresses on silo walls. The proposed model bin was twenty four feet high and sixteen by sixteen feet in square cross-section. The walls to be analyzed are made steel plates folded into horizontal corrugations. Design pressures and frictional forces were obtained by using Janssen's equations for grain pressure in deep bins. A deep bin usually defined as a bin in which the plane of rupture of the material intersects the wall of the bins before it reaches the top surface of the material in the bin. A finite element analysis was performed to find the longitudinal flexural stresses due to loads exerted by the ensiled grain by using a 3- dimensional finite element analysis software called IMAGES (Interactive Microcomputer Analysis of General Elastic Structures).
Two different model were run, one with tie bars and one without tie bars. First the geometry of the model was performed, then the design pressures and frictional forces were applied to simulate the actual case loadings. A stiffness matrix was assembled by the computer software and the resultant stresses were obtained in the static analysis part of the program. A second approach by using engineering mechanics principles was used on the same wall configuration to find the stress resultants. A comparison was made between the flexural bending stresses from the finite element analysis with the tie bars and the flexural bending stresses from engineering mechanics approach. The maximum stresses for each corrugation were compared.
The finite element method yielded with greater stress values. Because of the three dimensional approach in finite element analysis, the finite element method will model the bin more accurately. A width-to-thickness ratio for the plate thickness was checked for local buckling. The width-to-thickness was found to be in the allowable region of the standards therefore, the local buckling was not a concern.
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thesis