For the beams in Figures P1613 subjected to the forcing func

For the beams in Figures P16-13 subjected to the forcing functions shown, determine the maximum deflections, velocities, and accelerations. Use a computer program.

Solution

clear all
clc

P = 5000:-100:0; % in N
L = 8000; % in mm
E = 210e3; % in MPa
I = 4e8; % in mm^4
ymax = P*L^3/(48*E*I); %in mm
n = length(P);
t = 0.3/n;
for i = 1:n-1
vel(i) = (ymax(i+1)-ymax(i))/t;
end
for j = 1:n-2
acc(j) = (vel(j+1)-vel(j))/t;
end

max_disp = max(ymax)
max_vel = max(vel)
max_acc = max(vel)

OUTPUT

max_disp =

0.6349

max_vel =

-2.1587

max_acc =

-2.1587