Mastering Mechanics 1: Using MATLAB 5
20 Aug 2002
16 Nov 2009)
function [force, placement]=distload(ho,ht,x)
%DISTLOAD Converts a linearly distributed load to a point force.
% [FORCE, PLACEMENT]=DISTLOAD(H1,H2,X) Given the two magnitudes H1 and H2
% that a linearly distributed load varies between, and the length of
% application, the routine will find the magnitude and location of the
% equivalent force.
% See also DEG2XY, DIST2X, DIST2Y, RAD2XY, RISE2XY, XY2DEG, XY2RAD.
% Details are to be found in Mastering Mechanics I, Douglas W. Hull,
% Prentice Hall, 1998
% Douglas W. Hull, 1998
% Copyright (c) 1998-99 by Prentice Hall
% Version 1.00
if ho >= ht %left side is bigger
force = vertrap(ho,x,ht,(ho-ht),'area'); % find area
placement = vertrap(ho,x,ht,(ho-ht),'centX'); % find centroid
else %right side is bigger
force = vertrap(ht,(-x),ho,(ht-ho),'area'); % find area
placement = x + (vertrap(ht,(-x),ho,(ht-ho),'centX')); % find centroid