How to calculate the area under the curve with data given on an excel file, and not using the function "trapz"?
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Andres Gustavo Ambriz Gudiel
el 3 de Ag. de 2021
Comentada: Wan Ji
el 10 de Ag. de 2021
Create a MATLAB program to calculate the area under the curve for the strain-stress. The goal of the project is to have a MATLAB script that automatically reads the experimental data set. The MATLAB script must not use native functions like “trapz” in the calculation of the area. The goal is to calculate the area under the stress-strain curve.
4 comentarios
James Tursa
el 3 de Ag. de 2021
I meant are you supposed to write your own area calculator function from scratch? (be it Euler or trapezoid or whatever)
Respuesta aceptada
Scott MacKenzie
el 3 de Ag. de 2021
Editada: Scott MacKenzie
el 3 de Ag. de 2021
f = 'https://www.mathworks.com/matlabcentral/answers/uploaded_files/702117/Steel6150Tens.csv';
T = readtable(f);
T(end,:) = []; % remove last row, outlier
x = T.Strain;
y = T.Stress;
plot(x,y)
% compute area the hard way
a0 = 0;
for i=2:length(x)
a0 = a0 + (x(i)-x(i-1)) * (y(i)+y(i-1))/2;
end
fprintf('Area: %f\n', a0);
% verify result using trapz
a1 = trapz(x, y);
fprintf('Area using trapz: %f\n', a1);
8 comentarios
Wan Ji
el 10 de Ag. de 2021
By using 'type trapz' command, one can see the vectorized trapz method, the code is simplified as:
z = diff(x,1,1).' * (y(1:end-1,:) + y(2:end,:))/2;
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