num2str error or integer error
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%% Script
clear; clc;
E = 70*10^9
G = 30*10^9
L = 1
answer = questdlg('Would you like to find the Optimized beam and dimensions','Beam Optimizer','Yes','No','No');
switch answer
case 'Yes'
data = 1
[h b PCritval] = optimize(data,E,G,L)
plotBeam(h,b,data)
FinalCritcalval = PCritval
count = 1;
data = 2
[h b PCritval] = optimize(data,E,G,L)
plotBeam(h,b,data)
if PCritval > FinalCritcalval
FinalCritcalval = PCritval
count = 2;
end
data =3
[h b PCritval] = optimize(data,E,G,L)
plotBeam(h,b,data)
if PCritval > FinalCritcalval
FinalCritcalval = PCritval
count = 3;
end
case 'No'
fprintf('You Chose to not Optimized the beams')
end
if count == 1
fprintf('The I-Beam is optimized to have the hieghest critical load of %f',FinalCritcalval)
else if count == 2
fprintf('The Z-Beam is optimized to have the hieghest critical load of %f',FinalCritcalval)
else
fprintf('The C-Beam is optimized to have the hieghest critical load of %f',FinalCritcalval)
end
end
%% Functions
%%Ibeam function
function [A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Ibeam(t,h,b)
Cy = h/2;
Cx = b/2;
Ixx = 2*((b*t^3/12)+(t*b*((h/2)+(t/2))^2))+(t*((h))^3/12);
Iyy = 2*(t*b^3/12)+((h*t^3/12));
I0 = Ixx + Iyy;
J = (2*b*t^3+h*t^3)/3;
C_w = t*h^2*b^3/24;
A = 2*(b*t)+((h)*t);
Xs = 0;
Ys = 0;
end
%%Zbeam function
function [A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Zbeam(t,h,b)
Cy = h/2;
Cx = b/2;
Ixx = 2*((b*t^3/12)+(t*b*((h/2)+(t/2))^2))+(t*((h))^3/12);
Iyy = 2*((t*b^3/12)+(b*t*((b/2)-(t/2))^2))+((h*t^3/12));
I0 = Ixx + Iyy;
J = (2*b*t^3+h*t^3)/3;
C_w = (b^3*h^2/(12*(2*b+h)^2))*(2*t*(b^2+b*h+h^2)+(3*t*b*h));
A = 2*(b*t)+((h)*t);
Xs = 0;
Ys = 0;
end
%%Cbeam function
function [A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Cbeam(t,h,b)
h = 2*h;
A = 2*(b*t)+(h*t);
Cx = (b*t*h)/A;
Cy = h;
Ixx = (t*(h)^3/12)+(2*t*b*(h/2)^2);
Iyy = t*h*Cx^2+2*(t*b^3/12)+((2*t*b)*((b/2)-Cx)^2);
Xs = -((t*b^2*(h/2)^2/Ixx)+Cx);
Ys = 0;
I0 = Ixx + Iyy+(A*(Xs^2));
J = (t^3)*(2*b+h)/3;
C_w = (t*b^3*h^2/12)*((3*b*t+2*h*t)/(6*b*t+h*t));
end
%%Pcrit calc
function [Pcritical_matrix] = Pcrit(E,G,L,J,Iyy,Ixx,A,I0,C_w,Xs,Ys)
i = 1;
Pcritical_matrix = zeros(1,3);
Py = pi^2*E*Iyy/(L^2);
Px = pi^2*E*Ixx/(L^2);
P_alpha = (A /I0)*(G*J+(E*C_w*pi^2/L^2));
if Xs == 0 && Ys == 0
Pcr1 = Px;
Pcr2 = Py;
Pcr3 = P_alpha;
Pcritical_matrix = [Pcr1 Pcr2 Pcr3];
else
syms pCr;
m = [0 (pCr-Px) (pCr*.076);(pCr-Py) 0 0; 0 (.076*pCr) (.0089*(pCr-P_alpha))];
pCrit = solve(det(m));
Pcritical_matrix = vpa(pCrit);
end
end
function [h b PCritval] = optimize(data,E,G,L)
t = .002;
A1 = 6*10^-4;
i = 1;
if data == 1
for b = .02:.001:.2
h = (6*10^-4/(t))-(2*b);
if h > 0
[A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Ibeam(t,h,b);
[Pcritical_matrix] = Pcrit(E,G,L,J,Iyy,Ixx,A,I0,C_w,Xs,Ys);
pval = min(Pcritical_matrix);
m(:,i) = [pval h b];
i = i+1;
end
end
fprintf('You chose I-beam')
else if data == 2
for b = .01:.001:.2
h = (6*10^-4/(t))-(2*b);
[A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Zbeam(t,h,b);
[Pcritical_matrix] = Pcrit(E,G,L,J,Iyy,Ixx,A,I0,C_w,Xs,Ys);
pval = min(Pcritical_matrix);
m(:,i) = [pval h b];
i = i+1;
end
fprintf('You chose Z-beam')
else
fprintf('You chose C-beam')
for b = .065:.001:.1
h = (6*10^-4/(2*t))-b;
[A,Ixx,Iyy,Xs,Ys,J,C_w,I0] = Cbeam(t,h,b);
[Pcritical_matrix] = Pcrit(E,G,L,J,Iyy,Ixx,A,I0,C_w,Xs,Ys);
pval = min(Pcritical_matrix);
m1(:,i) = [pval h b];
m = vpa(m1,5);
i = i+1;
end
end
end
[M I] = max(m(1,:));
PCritval = m(1,I);
h = m(2,I);
b = m(3,I);
end
%%Plot Function
function plotBeam(h,b,data)
t = .002
if data == 1
figure
x = [0;b;b;((b/2)+(t/2));((b/2)+(t/2));b;b;0;0;((b/2)-(t/2));((b/2)-(t/2));0;0]
y = [0;0;t;t;(t+h);(t+h);(2*t+h);(2*t+h);(t+h);(t+h);t;t;0]
plot(x,y,'LineWidth',2,'Color','r')
[t,s] = title(['Optimized I-Beam with dimmentions of'],['Web Height= ',num2str(h), 'm Base= ', num2str(b),'m'])
fprintf('Check3')
else if data == 2
figure;
x = [0;b;b;2*b;2*b;b-t;b-t;0;0]
y = [0;0;(h+t);(h+t);((2*t)+h);((2*t)+h);t;t;0]
plot(x,y,'LineWidth',1,'Color','r')
ylim ([0 b])
xlim ([0 (2*b)+.05])
[t,s] = title(['Optimized Z-Beam with dimmentions of'],['Web Height= ',num2str(h), 'm Base= ', num2str(b),'m'])
fprintf('Check3')
else
figure;
b
h
x = [0;0;b;b;t;t;b;b;0]
y = [0;(b+(2*t));(b+(2*t));(b+t);(b+t);t;t;0;0]
plot(x,y,'LineWidth',1,'Color','r')
[t,s] = title(['Optimized C-Beam with dimmentions of'],['Web Height= ',num2str(h), 'm Base= ', num2str(b),'m'])
end
end
end
I think the error has to do with the use of vpa in the third if statment of my optimize function, causing the h and b values to be non integerers, tried to also have an xlim and ylim in the plot function any help or ideas would be greatly apreciated
Respuestas (1)
Jonathan Leutz
el 15 de Abr. de 2023
Movida: the cyclist
el 16 de Abr. de 2023
0 votos
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