def d_a(self, k: float = 0.5, pretty=False):
if not self.properties.geometry.solved:
self.solvegeometry()
d_a = 3.4 * math.pow(
self.M_b() /
((1 - math.pow(k, 4)) * self.properties.material.sigma_bWN),
1 / 3) * ureg.meter
if pretty:
formArray = [
[self.M_b(pretty=True)[1].data[1:-1]],
[
r"d_{a} = \approx 3.4 " + Latex.sqrt(
Latex.frac(r"M_{b}",
r"\left(1 - k^4 \right) \sigma_{bWN}"), 3) +
r" \rightarrow 3.4 [m] " + Latex.sqrt(
Latex.frac(
self.M_b(),
r"\left(1 - " + str(k) + r"^{4} " + r"\right)" +
Latex.toStr(self.properties.material.sigma_bWN)),
3) + r" \approx " + Latex.toStr(d_a)
]
]
pr = Latex.display(Latex.array(formArray))
return [d_a, pr]
else:
return d_a
def test_combined(self):
test_unit_n = 0.666 * ureg.N**2
test_unit_a = 3.333 * ureg.mm**200
test_unit_p = test_unit_n / test_unit_a
test_result = math.sqrt(test_unit_p.magnitude) * ureg.Pa * ureg.m**-98
self.assertEqual(
r'$\sqrt{\frac{6.66 \cdot 10^{-1} \left[N^{2}\right]}{3.33 \left[mm^{200}\right]}} = 4.47 \cdot 10^{-1} \left[\frac{Pa}{m^{98}}\right]$',
Latex.formulaprint(
Latex.sqrt(Latex.frac(test_unit_n, test_unit_a)) + r" = " +
Latex.toStr(test_result)))
def d_prime(self, pretty=False):
if not self.properties.geometry.solved:
self.solvegeometry()
d_prime = 3.4 * math.pow(
self.M_b() / self.properties.material.sigma_bWN,
1 / 3) * ureg.meter
if pretty:
formArray = [
[self.M_b(pretty=True)[1].data[1:-1]],
[
r"d^{'} = \approx 3.4 " +
Latex.sqrt(Latex.frac(r"M_{b}", r"\sigma_{bWN}"), 3) +
r" \rightarrow 3.4 [m] " + Latex.sqrt(
Latex.frac(self.M_b(),
self.properties.material.sigma_bWN), 3) +
r" \approx " + Latex.toStr(d_prime)
]
]
pr = Latex.display(Latex.array(formArray))
return [d_prime, pr]
else:
return d_prime
def test_sqrt(self):
self.assertEqual(Latex.sqrt(5), '\\sqrt{5.00}')
self.assertEqual(Latex.sqrt(5, 3), '\\sqrt[3]{5.00}')