Abstract
Non-prismatic structural members with tapered circular cross-sections are commonly utilized in the fields of architecture and engineering for their functional and aesthetic features. Despite their frequent use, their design can be complex due to varying cross-sectional dimensions, making it challenging to determine their elastic critical load and ensure their stability and safety. To address this, a mathematical model has been developed to accurately calculate the elastic critical load of non-prismatic members with a tapered circular cross-section. The model incorporates the tapering ratio, which describes the change in cross-sectional area along the length of the member and takes into account its effects on the member’s strength. By considering the moments and deformations along the member’s length, the model references the Euler buckling load of a prismatic member at its smaller cross-section to determine the elastic critical load. The formula for the elastic critical load is heavily influenced by the axial load and tapering ratio. The study highlights that, in some cases, the elastic critical load of non-prismatic members can be up to 25 times higher than that of a prismatic member with the same cross-sectional area at its smaller depth. Furthermore, the study provides a simplified formula to determine the maximum capacity of non-prismatic members, aiding designers in effectively utilizing materials.
Presenters
Wisam BukaitaAssistant Professor, Math and Computer Science, Lawrence Technological University, Michigan, United States
Details
Presentation Type
Paper Presentation in a Themed Session
Theme
KEYWORDS
Elastic Critical Load, Non-Prismatic Member, Axial Load, Buckling Load
