Examples for general profile shapes

from shape_generator import CrossSection, Circle

Example for standard egg cross section

label = 'P0'
r = 30
unit = 'cm'
R = 3 * r
roh = r / 2
height = r * 3
width = r * 2
# h1 = roh - (r + roh) / (R - roh) * roh
h1 = r/ 5

cross_section = CrossSection(label=label, width=width, height=height, unit=unit)
cross_section.add(Circle(roh, x_m=roh))
cross_section.add(h1)
cross_section.add(Circle(R, x_m=2 * r, y_m=-(R - r)))
cross_section.add(2 * r)
cross_section.add(Circle(r, x_m=2 * r))

import pandas as pd
pd.DataFrame(cross_section.get_points()).T.rename(columns={0:'$h_i$', 1:'$w_i$'})

	$h_i$	$A_i$
0	0.00	0.000000
1	0.09	1.640701
2	0.45	3.646574
3	0.99	5.359095
4	1.62	6.780531
5	2.52	8.321634
6	3.51	9.642609
7	4.68	10.885660
8	6.00	12.000000
9	11.94	16.093603
10	18.24	19.725168
11	24.81	22.835161
12	31.56	25.388327
13	38.49	27.391761
14	45.60	28.840531
15	52.80	29.711538
16	60.00	30.000000
17	62.97	29.852623
18	65.85	29.424097
19	68.73	28.701692
20	71.52	27.699993
21	74.22	26.415745
22	76.74	24.895228
23	79.08	23.150672
24	81.24	21.186373
25	83.22	18.995568
26	84.93	16.688172
27	86.46	14.137482
28	87.72	11.471774
29	88.71	8.702638
30	89.43	5.820232
31	89.88	2.680597
32	90.00	0.000000

fig = cross_section.profile_figure()

Example for custom cross section

def add_and_show(cs, *args, **kwargs):
    cs.add(*args, **kwargs)
    print('-' * 5, *cs.shape_description, '-' * 5, sep='\n')
    cs.profile_figure()

label = 'Kreis'
r = 20  # cm
unit = 'cm'

kreis = CrossSection(label=label, height=2*r, unit=unit)
add_and_show(kreis, Circle(r, x_m=r))

-----
Circle Function (radius=20.00, mid=[20.00, 0.00])
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add_and_show(kreis, r)

-----
Circle Function (radius=20.00, mid=[20.00, 0.00])
Slope Function (k=-1.00, zero=[20.00, 20.00])
-----

add_and_show(kreis, 30, '°slope')

-----
Circle Function (radius=20.00, mid=[20.00, 0.00])
Slope Function (k=0.58, zero=[20.00, 20.00])
-----

add_and_show(kreis, None,1.5*r)

-----
Circle Function (radius=20.00, mid=[20.00, 0.00])
Slope Function (k=0.58, zero=[20.00, 20.00])
Slope Function (k=-0.47, zero=[25.77, 30.00])
-----