part_g.m

% Part G Script
% From Problem Statement
P = linspace(.001,.01,10);
n = 20;

% Sets vector length so it doesn't change every iteration in for loop
T = zeros(1,length(P));
wmax = zeros(1,length(P));

% Uses tension_sol and membrane_solution functions to solve for the maximum displacement for all iterations
for i = 1:length(P)
    T(i) = tension_sol(P(i),n);
    w = membrane_solution(T(i),P(i),n);
    wmax(i) = max(w);
end

% Sets up figure for plot
clf
setDefaults

% Standard Linear Regression with equation P(x) = A*w^2
x = wmax';
y = P';
Z=x.^3;
a=Z\y;
x_fcn=linspace(min(x),max(x));

% Plots regression line with actual points
plot(x,y,'o',x_fcn,a*x_fcn.^3)
title('Pressure vs Maximum Deflection')
xlabel('Maximum Deflection (um)')
ylabel('Pressure (MPa)')
print('Part g','-dpng')