added mohrs circle plotter

aero_astro_calc/PlaneStress.py

@@ -2,6 +2,7 @@ from math import sqrt
 
 from bokeh.models import Arrow
 from bokeh.plotting import figure, show
+from numpy import linspace, sin, cos, pi
 
 from aero_astro_calc.dependencies.LatexLabel import LatexLabel
 
@@ -63,7 +64,7 @@ class PlaneStress:
             LatexLabel(
                 x=-1.8,
                 y=1.8,
-                text=f"\sigma_1 = {round(self.sigma_1,4)}",
+                text=f"\\sigma_1 = {round(self.sigma_1,4)}",
                 render_mode="css",
             )
         )
@@ -71,7 +72,7 @@ class PlaneStress:
             LatexLabel(
                 x=-1.8,
                 y=1.4,
-                text=f"\sigma_2 = {round(self.sigma_2,4)}",
+                text=f"\\sigma_2 = {round(self.sigma_2,4)}",
                 render_mode="css",
             )
         )
@@ -85,3 +86,74 @@ class PlaneStress:
         )
 
         show(plot)
+
+    def mohr(self):
+        padding = 1.3
+        midpoint = (self.sigma_1 + self.sigma_2) / 2
+
+        plot = figure(
+            x_range=[
+                (midpoint - self.tau_max) * padding,
+                (midpoint + self.tau_max) * padding,
+            ],
+            y_range=[-self.tau_max * padding, self.tau_max * padding],
+        )
+
+        # Bokeh circle is stupid so it has to be done the hard way.
+        theta = linspace(0, 2 * pi, 200)
+        sig1 = self.tau_max * cos(theta) + midpoint
+        sig2 = self.tau_max * sin(theta)
+        plot.line(x=sig1, y=sig2)
+
+        # x axis
+        plot.line(
+            x=[
+                (midpoint - self.tau_max) * padding,
+                (midpoint + self.tau_max) * padding,
+            ],
+            y=[0, 0],
+            line_color="black",
+        )
+
+        # y axis
+        plot.line(
+            x=[0, 0],
+            y=[self.tau_max * padding, self.tau_max * -padding],
+            line_color="black",
+        )
+
+        # Labels
+        # sigma_1
+        plot.circle(x=midpoint + self.tau_max, y=0, size=self.tau_max * 0.2)
+        plot.add_layout(
+            LatexLabel(
+                x=midpoint + self.tau_max,
+                y=self.tau_max * -0.1,
+                text=f"\\sigma_1 = {round(self.sigma_1)}",
+                render_mode="css",
+            )
+        )
+
+        # sigma_2
+        plot.circle(x=midpoint - self.tau_max, y=0, size=self.tau_max * 0.2)
+        plot.add_layout(
+            LatexLabel(
+                x=midpoint - self.tau_max,
+                y=self.tau_max * -0.1,
+                text=f"\\sigma_2 = {round(self.sigma_2)}",
+                render_mode="css",
+            )
+        )
+
+        # tau_max
+        plot.circle(x=midpoint, y=self.tau_max, size=sqrt(self.tau_max))
+        plot.add_layout(
+            LatexLabel(
+                x=midpoint,
+                y=self.tau_max * 0.9,
+                text=f"\\tau_{{max}} = {round(self.tau_max)}",
+                render_mode="css",
+            )
+        )
+
+        show(plot)