Title Beam deflection Problem A beam is simply supported at

Title: Beam deflection. Problem: A beam is simply supported at both ends is loaded as shown in the figure below. Under the load, the beam will deflect vertically. This vertical deflection of the beam. V will vary along the length of the beam from x=0 to L and is given by V = Pb/6EIL[(-L^2 + b^2)x + x^3],0

Solution

% Beam Deflection
clear all
clc
fprintf(\'Title:Beam Deflection\ \');
%diamensions of beam
L=6; %Total length of the beam
a=4;%shown in figure
b=2;%shown in figure
d; %length of side of each edge, you have not given the value write here
E=180 e109;  %young\'s Modulus
P=2000; %load
I= (d^3)/3; % Moment of inertia
j=0;
for x=0:1:L
    j=j+1;
    if x<a
V(j)=(P*b)(((-L*L)+(b*b))*x+(x*x*x)) / (6* E*I*L);

fprintf(\'Title:Beam Deflection\ \',V(j));

V(j)=0;
    else

V(j)=(P*b)(((-L*L)+(b*b))*x+(x*x*x) - L*((x-a)^3)/b) / (6* E*I*L);
  
  fprintf(\'Title:Beam Deflection\ \',V(j));