Date of Award


Publication Type

Doctoral Thesis

Degree Name



Civil and Environmental Engineering


Engineering, Civil.




Cold bending of Hollow Structural Sections (HSS) of rectangular and square geometry results in permanent distortion of their cross-sections. The main objective of this study is to predict the relationship between the radius of bend imposed on the HSS and such distortions. A theoretical study is carried out using the variational principle of the total potential energy and a Rayleigh-Ritz type procedure. Displacement functions in the form of Fourier series are employed to describe the deformed shape of the HSS after rolling. Non-linear strain-displacement relations are used to account for geometric non-linearity. Plastic deformations are assumed to be governed by the Von-Mises yield criterion and the total deformation theory of plasticity. The analysis also accounts for linear strain hardening of the material in the plastic range. At any instant of the rolling process, the loading on the HSS member consists of a concentrated load applied at its mid-point as well as friction between the member and the rollers of the bending machine. To model the rolling process the load is assumed to be applied successively at different points along the length of the member causing it to deform plastically. The resulting deflection at mid-span of the member is related to its relaxed radius of bend by studying its geometry during the rolling process. The results of the theoretical analysis is compared to that obtained from an experimental program. The good agreement between the results substantiates the validity of the proposed method of analysis.Dept. of Civil and Environmental Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1985 .S444. Source: Dissertation Abstracts International, Volume: 46-08, Section: B, page: 2749. Thesis (Ph.D.)--University of Windsor (Canada), 1985.