Date of Thesis
Spring 2012
Description
This study investigates the possibility of custom fitting a widely accepted approximate yield surface equation (Ziemian, 2000) to the theoretical yield surfaces of five different structural shapes, which include wide-flange, solid and hollow rectangular, and solid and hollow circular shapes. To achieve this goal, a theoretically “exact” but overly complex representation of the cross section’s yield surface was initially obtained by using fundamental principles of solid mechanics. A weighted regression analysis was performed with the “exact” yield surface data to obtain the specific coefficients of three terms in the approximate yield surface equation. These coefficients were calculated to determine the “best” yield surface equation for a given cross section geometry. Given that the exact yield surface shall have zero percentage of concavity, this investigation evaluated the resulting coefficient of determination (��) and the percentage of concavity of the customized yield surface in comparison to those of the widely accepted yield surface.
Access Type
Honors Thesis
Major
Civil Engineering
First Advisor
Ronald D. Ziemian
Recommended Citation
Meas, Oudam, "Modeling Yield Surfaces of Various Structural Shapes" (2012). Honors Theses. 119.
https://digitalcommons.bucknell.edu/honors_theses/119