function [D, S] = canti(xx, w, t) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % CANTILEVER BEAM FUNCTIONS % % Authors: Sonja Surjanovic, Simon Fraser University % Derek Bingham, Simon Fraser University % Questions/Comments: Please email Derek Bingham at dbingham@stat.sfu.ca. % % Copyright 2013. Derek Bingham, Simon Fraser University. % % THERE IS NO WARRANTY, EXPRESS OR IMPLIED. WE DO NOT ASSUME ANY LIABILITY % FOR THE USE OF THIS SOFTWARE. If software is modified to produce % derivative works, such modified software should be clearly marked. % Additionally, this program is free software; you can redistribute it % and/or modify it under the terms of the GNU General Public License as % published by the Free Software Foundation; version 2.0 of the License. % Accordingly, this program is distributed in the hope that it will be % useful, but WITHOUT ANY WARRANTY; without even the implied warranty % of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU % General Public License for more details. % % For function details and reference information, see: % http://www.sfu.ca/~ssurjano/ % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % OUTPUTS AND INPUTS: % % D = displacement % S = stress % xx = [R, E, X, Y] % w = width (optional) % t = thickness (optional) % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% R = xx(1); E = xx(2); X = xx(3); Y = xx(4); L = 100; D_0 = 2.2535; if (nargin == 1) w = 4; t = 2; elseif (nargin == 2) t = 2; end Sterm1 = 600*Y / (w*(t^2)); Sterm2 = 600*X / ((w^2)*t); S = Sterm1 + Sterm2; Dfact1 = 4*(L^3) / (E*w*t); Dfact2 = sqrt((Y/(t^2))^2 + (X/(w^2))^2); D = Dfact1 * Dfact2; end