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mirror of https://gitlab.com/MisterBiggs/aero-astro-calc.git synced 2025-06-15 22:56:47 +00:00
2020-01-20 14:50:52 -07:00

88 lines
2.8 KiB
Python

from math import sqrt
from bokeh.models import Arrow
from bokeh.plotting import figure, show
from aero_astro_calc.dependencies.LatexLabel import LatexLabel
class PlaneStress:
def __init__(self, sigma_x, sigma_y, tau_xy):
self.sigma_x = sigma_x
self.sigma_y = sigma_y
self.tau_xy = tau_xy
self.tau_max = sqrt(((self.sigma_x - self.sigma_y) / 2) ** 2 + self.tau_xy ** 2)
self.sigma_1 = ((self.sigma_x + self.sigma_y) / 2) + self.tau_max
self.sigma_2 = ((self.sigma_x + self.sigma_y) / 2) - self.tau_max
def plane(self):
# Settings to make the plot look correct.
plot = figure(x_range=(-5, 5), y_range=(-5, 5))
plot.axis.major_label_text_font_size = "0pt"
plot.axis.major_tick_line_color = None
plot.axis[0].ticker.num_minor_ticks = 0
plot.axis[1].ticker.num_minor_ticks = 0
plot.grid.visible = False
plot.axis.visible = False
# Draw the rectangle
plot.rect(0, 0, 4, 4, fill_alpha=0, line_color="black", line_width=3)
# sigma_x
plot.add_layout(Arrow(x_start=2, y_start=0, x_end=4.5, y_end=0))
plot.add_layout(Arrow(x_start=-2, y_start=0, x_end=-4.5, y_end=0))
plot.add_layout(
LatexLabel(
x=3.0, y=0.7, text=f"\\sigma_{{x}} = {self.sigma_x}", render_mode="css"
)
)
# sigma_y
plot.add_layout(Arrow(x_start=0, y_start=2, x_end=0, y_end=4.5))
plot.add_layout(Arrow(x_start=0, y_start=-2, x_end=0, y_end=-4.5))
plot.add_layout(
LatexLabel(
x=0.25, y=4, text=f"\\sigma_{{y}} = {self.sigma_y}", render_mode="css"
)
)
# tau_xy
plot.add_layout(Arrow(x_start=2.5, y_start=-2, x_end=2.5, y_end=2.2))
plot.add_layout(Arrow(y_start=2.5, x_start=-2, y_end=2.5, x_end=2.2))
plot.add_layout(Arrow(x_start=-2.5, y_start=2, x_end=-2.5, y_end=-2.2))
plot.add_layout(Arrow(y_start=-2.5, x_start=2, y_end=-2.5, x_end=-2.2))
plot.add_layout(
LatexLabel(
x=2.5, y=2.6, text=f"\\tau_{{xy}} = {self.tau_xy}", render_mode="css"
)
)
# Other calculations
plot.add_layout(
LatexLabel(
x=-1.8,
y=1.8,
text=f"\sigma_1 = {round(self.sigma_1,4)}",
render_mode="css",
)
)
plot.add_layout(
LatexLabel(
x=-1.8,
y=1.4,
text=f"\sigma_2 = {round(self.sigma_2,4)}",
render_mode="css",
)
)
plot.add_layout(
LatexLabel(
x=-1.8,
y=1,
text=f"\\tau_{{max}} = {round(self.tau_max,4)}",
render_mode="css",
)
)
show(plot)