shortcol <- function(xx, b=5, h=15) { ########################################################################## # # SHORT COLUMN FUNCTION # # 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/ # ########################################################################## # # INPUTS: # # xx = c(Y, M, P) # b = width of cross-section (optional), with nominal value 5 # h = depth of cross-section (optional), with nominal value 15 # ########################################################################## Y <- xx[1] M <- xx[2] P <- xx[3] term1 <- -4*M / (b*(h^2)*Y) term2 <- -(P^2) / ((b^2)*(h^2)*(Y^2)) y <- 1 + term1 + term2 return(y) }