Python For Mechanical Engineers I Create Mohr Circle with Python Program.

Published: 13 June 2020
on channel: 3D Technocrafts

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In this video we will see how to create mohr circle with python program.
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Code

import numpy as np
import matplotlib.pyplot as plt
sigma_x = 100
sigma_y = 20
tau_xy = 50
theta = np.linspace(0,2*np.pi,360)
theta_p = (2*np.pi/180)*20
s1 = 0.5*(sigma_x+sigma_y)+(0.5*(sigma_x-sigma_y)*np.cos(2*theta_p))+(tau_xy*np.sin(2*theta_p))
s2 = 0.5*(sigma_x+sigma_y)-(0.5*(sigma_x-sigma_y)*np.cos(2*theta_p))+(tau_xy*np.sin(2*theta_p))
R = np.sqrt((0.5*(sigma_x-sigma_y))**2+tau_xy**2)
S_avg = (sigma_x+sigma_y)/2

x = S_avg + R*np.cos(theta)
y = R*np.sin(theta)

print(s1,s2)
plt.plot([S_avg-R-10,S_avg+R+10],[0,0],linestyle='--',color='black')
plt.plot([S_avg,S_avg],[-R-10,R+10],linestyle='--',color='black')
plt.plot(x,y)
plt.plot([sigma_x,sigma_y],[-tau_xy,tau_xy],[sigma_x,sigma_x],[-tau_xy,0],[sigma_y,sigma_y],[tau_xy,0],linestyle='--',color='g')
plt.xlabel(r'$\sigma$')
plt.ylabel(r'$\tau$')
plt.title("Mohr's Circle")
plt.show()

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