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Script para analizar el cambio de los esfuerzos normal y cortante en un plano oblicuo bajo carga axial
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%% Datos iniciales | |
% | |
% Script para analizar el cambio de los esfuerzos normal y cortante | |
% en un plano oblicuo bajo carga axial | |
A_0 = 1; % Area de la seccion transversal | |
P = 1; % Fuerza externa | |
% La variacion en theta desde un corte transversal (0º - 0 rad) | |
% a un corte longitudinal (90º - pi/2 rad) | |
theta = linspace(0,pi/2,100); | |
% theta = 30*pi/180; | |
% El area de la seccion oblicua | |
A_theta = A_0/cos(theta); | |
% Fuerza normal | |
F = P*cos(theta); | |
% Fuerza cortante | |
V = P*sin(theta); | |
% Esfuerzo normal | |
% El operador ./ significa division elemento a elemento | |
% entre los vectores F y A_theta | |
sigma = F./A_theta; | |
% Esfuerzo cortante | |
tau = V./A_theta; | |
% Graficar el esfuerzo normal vs theta | |
% theta se pasa de radianes a grados | |
figure,plot(theta*180/pi,sigma) | |
xlabel('theta') | |
ylabel('Esfuerzo normal') | |
figure,plot(theta*180/pi,tau) | |
xlabel('theta') | |
ylabel('Esfuerzo cortante') | |
figure,plot(theta*180/pi,sigma) | |
hold on | |
plot(theta*180/pi,tau,'r') | |
xlabel('theta') | |
ylabel('Esfuerzo') | |
legend('Normal','Cortante','Location','NE') | |
axis tight |
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