def test_timoshenko_discrete():
system = SystemElements()
system.add_element(location=[[0.25, 0]],
EA=1.4e8,
EI=1.167e5,
GA=0.8333 * 8.75e6)
system.add_element(location=[[0.5, 0]],
EA=1.4e8,
EI=1.167e5,
GA=0.8333 * 8.75e6)
system.add_element(location=[[0.75, 0]],
EA=1.4e8,
EI=1.167e5,
GA=0.8333 * 8.75e6)
system.add_element(location=[[1, 0]],
EA=1.4e8,
EI=1.167e5,
GA=0.8333 * 8.75e6)
system.q_load(element_id=1, q=5000, direction="y")
system.q_load(element_id=2, q=5000, direction="y")
system.q_load(element_id=3, q=5000, direction="y")
system.q_load(element_id=4, q=5000, direction="y")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=5)
system.solve()
assert np.isclose(abs(system.system_displacement_vector[7]),
6.44e-4,
rtol=1e-2)
def makestructure(nodes,
segs,
fixednodes,
loadnodes,
thicknesses,
tensile=tensilePLA,
totalload=100):
ss = SystemElements()
#loop through segments and create them
for s, thickness in zip(segs, thicknesses):
ss.add_truss_element(location=[nodes[s[0]], nodes[s[1]]],
EA=tensile * thickness * strutwidth,
g=0,
spring={
1: 0.0001,
2: 0.0001
})
#
for f, supporttype in fixednodes:
if supporttype == 'hinged':
ss.add_support_hinged(node_id=f + 1)
elif supporttype == 'roll':
ss.add_support_roll(node_id=f + 1, direction='x')
elif supporttype == 'fixed':
ss.add_support_fixed(node_id=f + 1)
#add in other types of supports here
for l in loadnodes:
ss.point_load(l + 1, Fx=0, Fy=-totalload / len(loadnodes))
return ss
def results():
# add section data and loads of the dialog
E = float(ui.editE.text())
I = float(ui.editI.text())
A = float(ui.editA.text())
ss = SystemElements()
frame = FreeCAD.ActiveDocument.getObjectsByLabel(
ui.comboBox.currentText())[0]
sk = frame.Base
for l in sk.Geometry:
sp = [i * 1e-3 for i in list(l.StartPoint)[:2]]
ep = [i * 1e-3 for i in list(l.EndPoint)[:2]]
ss.add_element([sp, ep], EA=E * A, EI=E * I)
for i in list(range(len(sk.Geometry))):
if ui.table.item(i, 1):
item = ui.table.item(i, 1)
try:
load = float(item.text())
ss.q_load(element_id=(i + 1), q=load)
except:
pass
for i in list(range(ss.id_last_node)):
if ui.table_2.item(i, 1):
if ui.table_2.item(i, 1).text() == 'fix':
ss.add_support_fixed(node_id=i + 1)
elif ui.table_2.item(i, 1).text() == 'hinge':
ss.add_support_hinged(node_id=i + 1)
elif ui.table_2.item(i, 1).text() == 'roll':
ss.add_support_roll(node_id=i + 1)
ss.solve()
ss.show_results()
def test_parallel_q_load():
system = SystemElements()
system.add_element(location=[[0, 0], [1, 0]], EA=5e9, EI=8000)
system.q_load(element_id=1, q=-10, direction="x")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=2)
system.solve()
assert system.element_map[1].N_1 == -10
assert system.element_map[1].N_2 == 0
def test_linear_parallel_q_load():
system = SystemElements()
system.add_element(location=[[0, 0], [1, 0]], EA=5e2, EI=800)
system.add_element(location=[[1, 0], [2, 0]], EA=5e2, EI=800)
system.q_load(element_id=1, q=10, q2=20, direction="x")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=3)
system.solve()
assert np.isclose(system.reaction_forces[1].Fx, -15)
assert np.isclose(np.max(system.system_displacement_vector), 0.01666667)
def test_bernoulli():
system = SystemElements()
system.add_element(location=[[0, 0], [1, 0]], EA=1.4e8, EI=1.167e5)
system.q_load(element_id=1, q=5000, direction="y")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=2)
system.solve()
assert np.isclose(np.max(abs(system.element_map[1].deflection)),
5.58e-4,
rtol=1e-2)
def support(self):
apoio = str(self.apoiobox.currentText())
pos = int(self.apoiopos.text())
from anastruct import SystemElements
ss = SystemElements()
if apoio == 'Fixo':
ss.add_support_hinged(node_id=pos)
elif apoio == 'Móvel':
ss.add_support_roll(node_id=pos)
elif apoio == 'Engaste':
ss.add_support_fixed(node_id=pos)
elif apoio == 'Mola':
ss.add_support_spring(node_id=pos)
ss.show_structure()
def test_linear_q_load():
system = SystemElements()
system.add_element(location=[[0, 0], [1, 0]], EA=5e8, EI=800)
system.add_element(location=[[1, 0], [2, 0]], EA=5e8, EI=800)
system.q_load(element_id=1, q=-10, q2=-20, direction="y")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=3)
system.solve()
assert np.isclose(np.max(abs(system.element_map[1].shear_force)), 10.87, rtol=1e-2)
assert np.isclose(np.max(abs(system.element_map[2].shear_force)), 4.17, rtol=1e-2)
assert np.isclose(np.max(abs(system.element_map[1].bending_moment)), 4.62, rtol=1e-2)
assert np.isclose(np.max(abs(system.system_displacement_vector)), 3.7673e-3, rtol=1e-2)
def test_timoshenko_continuous():
system = SystemElements()
system.add_element(location=[[0, 0], [1, 0]],
EA=1.4e8,
EI=1.167e5,
GA=0.8333 * 8.75e6)
system.q_load(element_id=1, q=5000, direction="y")
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=2)
system.solve()
assert np.isclose(np.max(abs(system.element_map[1].deflection)),
6.44e-4,
rtol=1e-2)
def test_moment_q_load():
system = SystemElements()
start=0
step = 0.1
for i in range(20):
system.add_element(location=[[start, 0], [start+step, 0]], EA=5e2, EI=800)
start+=step
system.q_moment(element_id=1+i, Ty=10)
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=21)
system.solve()
assert np.isclose(system.reaction_forces[1].Fz, 10)
def test_solve_modal_analysis():
system = SystemElements()
l = 10
n = 50
subd = l / n
for i in range(n):
system.add_element(location=[[subd * i, 0], [subd * (i + 1), 0]], EA=5e8, EI=800, linear_density=10)
system.add_support_hinged(node_id=1)
system.add_support_roll(node_id=n + 1)
natural_frequencies = system.solve_modal_analysis()
def analytical_natural_frequencies(linear_density, l, EI, n):
# See Rao, Singiresu S. - Vibration of continuous Systems - John Wiley & Sons (2019) - Section 11.5.1
return (n ** 2) * (np.pi ** 2) * np.sqrt(EI / (linear_density * l ** 4))
# retrieve fist four eigenvalues, as error incr6eases for higher eigenvalues
for i in range(4):
assert np.isclose(natural_frequencies[i], analytical_natural_frequencies(10, 10, 800, i + 1), rtol=1e-2)
def test_struct():
ss = SystemElements()
ss.add_element([[0, 0], [1, 0]])
ss.add_element([[1, 0], [1, 1]])
ss.add_element([[1, 0], [2, 0]])
ss.add_element([[2, 0], [3, 0]])
ss.add_element([[3, 0], [4, 1]])
ss.add_element([[4, 1], [5, 1]])
ss.point_load(2, Fy=10)
ss.point_load(3, Fy=-20, Fx=5)
ss.point_load(4, Fy=-30)
ss.point_load(5, Fx=-40)
ss.moment_load(2, Ty=-9)
ss.moment_load(1, 7)
ss.moment_load(3, 3)
ss.q_load(element_id=3, q=(-10, -20))
ss.q_load(element_id=5, q=(-10, -20))
ss.add_support_roll(4)
ss.add_support_hinged(5)
# ss.add_support_fixed(3)
mn = Manager(ss)
mn.generate_pdf(pdf_path=r"C:\testfolder")
def test_struct2():
ss = SystemElements()
ss.add_element([[0, 0], [1, 0]])
ss.add_element([[1, 0], [1, 1]])
ss.add_element([[1, 0], [2, 0]])
ss.add_element([[2, 0], [3, 0]])
ss.add_element([[3, 0], [4, 1]])
ss.add_element([[4, 1], [5, 1]])
ss.point_load(2, Fy=10)
ss.point_load(3, Fy=-20)
ss.point_load(4, Fy=-30)
ss.point_load(5, Fx=-40)
ss.moment_load(2, Ty=-9)
ss.moment_load(1, 7)
ss.moment_load(3, 3)
ss.q_load(element_id=3, q=(-10, -20))
ss.add_support_roll(4)
ss.add_support_hinged(5)
# ss.show_structure()
ss.solve()
ss.show_reaction_force(show=False)
ass = Assembler(ss)
ass.assemble_structure(main_path=Setting.longest)
[print(element.id, values) for element, values in ass.internal_stresses_dict.items()]
def trussbridge(Ediag,
Adiag,
Ebot,
Abot,
Etop,
Atop,
p,
w_tri=4,
h_tri=2,
num_tri=6,
disp=False):
"""
Calculate displacement of middle point in bridge truss
Args:
Ediag (list): list of Young's modulus for each pair of diagonal trusses (Pa)
Adiag (list): list of cross-sectional area for each pair of diagonal trusses (m2)
Ebot (list): list of Young's modulus for each bottom truss (Pa)
Abot (list): list of cross-sectional area for each bottom truss (m2)
Etop (list): list of Young's modulus for each top truss (Pa)
Atop (list): list of cross-sectional area for each top truss (m2)t
p (list): list of force applied on the top nodes (N)
num_tri (int): number of triangles
disp (bool): display image or not
"""
Ediag = np.array(Ediag)
Adiag = np.array(Adiag)
Ebot = np.array(Ebot)
Abot = np.array(Abot)
Etop = np.array(Etop)
Atop = np.array(Atop)
EAdiag = Ediag * Adiag
EAbot = Ebot * Abot
EAtop = Etop * Atop
ss = SystemElements()
# Triangle coord
x_base = np.arange(0, num_tri + 1) * w_tri
x_top = np.arange(0, num_tri) * w_tri + h_tri
y = np.ones(num_tri) * h_tri
# Create 6 triangles
for i in range(num_tri):
p1 = [x_base[i], 0]
p2 = [x_top[i], y[i]]
p3 = [x_base[i + 1], 0]
ss.add_truss_element(location=[p1, p2], EA=EAdiag[i])
ss.add_truss_element(location=[p2, p3], EA=EAdiag[i])
ss.add_truss_element(location=[p1, p3], EA=EAbot[i])
# Create 5 horizontal trusses
for i in range(num_tri - 1):
ss.add_truss_element(location=[[x_top[i], y[i]],
[x_top[i + 1], y[i + 1]]],
EA=EAtop[i])
# Create support
ss.add_support_hinged(node_id=1)
ss.add_support_roll(node_id=13, direction=2)
# Create Load
loadnode = [2, 4, 6, 8, 12]
for index, point in enumerate(loadnode):
ss.point_load(node_id=point, Fy=p[index])
ss.point_load(node_id=point, Fy=p[index])
ss.point_load(node_id=point, Fy=p[index])
ss.point_load(node_id=point, Fy=p[index])
ss.solve()
disp7 = ss.get_node_displacements(node_id=7)
if disp is True:
ss.show_axial_force()
ss.show_displacement(factor=10)
return disp7
class connections:
def __init__(self, main_window, main_window_functions):
self.mw = main_window
self.fn = main_window_functions
self.ss = SystemElements()
self.ss.color_scheme = "dark"
self.was_solved = False
self.states = []
def add_beam(self):
try:
self.workaround()
e = self.mw.elementtype.currentIndex()
if self.mw.utilizeinfo.isChecked():
EI = float(self.fn.filter(self.mw.beam_E.text())) * float(
self.fn.filter(self.mw.beam_I.text()))
EA = float(self.fn.filter(self.mw.beam_E.text())) * float(
self.fn.filter(self.mw.beam_A.text()))
element_types = ["beam", "truss"]
self.ss.add_element(location=[
[
float(self.fn.filter(self.mw.beam_x1.text())),
float(self.fn.filter(self.mw.beam_y1.text()))
],
[
float(self.fn.filter(self.mw.beam_x2.text())),
float(self.fn.filter(self.mw.beam_y2.text()))
]
],
EI=EI,
EA=EA,
element_type=element_types[e])
else:
self.ss.add_element(
location=[[
float(self.fn.filter(self.mw.beam_x1.text())),
float(self.fn.filter(self.mw.beam_y1.text()))
],
[
float(self.fn.filter(
self.mw.beam_x2.text())),
float(self.fn.filter(self.mw.beam_y2.text()))
]])
self.visualize_structure()
self.states.append(pickle.dumps(self.ss))
except:
self.fn.warning()
def beam_info(self):
if self.mw.utilizeinfo.isChecked():
self.mw.frame_4.setHidden(False)
else:
self.mw.frame_4.setHidden(True)
def element_type_list(self):
if self.mw.elementtype.currentIndex() == 1:
self.mw.beam_I.setEnabled(False)
elif self.mw.elementtype.currentIndex() == 0:
self.mw.beam_I.setEnabled(True)
def add_node(self):
try:
if int(self.mw.node_id.text()) in self.ss.node_map.keys():
self.workaround()
self.ss.insert_node(element_id=int(self.mw.node_id.text()),
location=[
self.fn.filter(self.mw.node_x.text()),
self.fn.filter(self.mw.node_y.text())
])
self.mw.last_figure.click()
self.states.append(pickle.dumps(self.ss))
else:
self.fn.invalid_id_warning()
except:
self.fn.warning()
def add_support(self):
try:
if int(self.mw.support_pos.text()) in self.ss.node_map.keys():
self.workaround()
if self.mw.support_hinged.isChecked():
self.ss.add_support_hinged(
node_id=int(self.mw.support_pos.text()))
elif self.mw.support_roll.isChecked():
self.ss.add_support_roll(
node_id=int(self.mw.support_pos.text()),
angle=float(
self.fn.filter(self.mw.support_angle.text())))
elif self.mw.support_fixed.isChecked():
self.ss.add_support_fixed(
node_id=int(self.mw.support_pos.text()))
elif self.mw.support_spring.isChecked():
self.ss.add_support_spring(
node_id=int(self.mw.support_pos.text()),
translation=self.mw.spring_translation.text(),
k=self.mw.spring_k.text())
elif self.mw.support_internal_hinge.isChecked():
pass
self.mw.last_figure.click()
self.states.append(pickle.dumps(self.ss))
self.fn.enable_buttons()
else:
self.fn.invalid_id_warning()
except:
self.fn.warning()
def show_support_stuff(self):
if self.mw.support_roll.isChecked():
self.mw.support_angle.setHidden(
True) # Always true due to anaStruct bug
self.mw.label_113.setHidden(
True) # Always true due to anaStruct bug
self.mw.label_27.setHidden(
True) # Always true due to anaStruct bug
self.mw.label_71.setHidden(True)
self.mw.label_73.setHidden(True)
self.mw.spring_k.setHidden(True)
self.mw.spring_translation.setHidden(True)
elif self.mw.support_spring.isChecked():
self.mw.label_71.setHidden(False)
self.mw.label_73.setHidden(False)
self.mw.spring_k.setHidden(False)
self.mw.spring_translation.setHidden(False)
self.mw.support_angle.setHidden(
True) # Always true due to anaStruct bug
self.mw.label_27.setHidden(True)
self.mw.label_127.setHidden(False)
else:
self.mw.support_angle.setHidden(
True) # Always true due to anaStruct bug
self.mw.label_27.setHidden(True)
self.mw.label_71.setHidden(True)
self.mw.label_73.setHidden(True)
self.mw.spring_k.setHidden(True)
self.mw.label_113.setHidden(True)
self.mw.label_127.setHidden(True)
self.mw.spring_translation.setHidden(True)
def add_point_load(self):
try:
if int(self.mw.load_pos.text()) in self.ss.node_map.keys():
self.workaround()
if self.mw.load_moment.text() != '' and float(
self.mw.load_moment.text()) != 0:
self.ss.moment_load(
node_id=int(self.mw.load_pos.text()),
Ty=float(self.fn.filter(self.mw.load_moment.text())))
if float(self.mw.load_y.text()) == 0 and float(
self.mw.load_x.text()) == 0 and float(
self.mw.load_angle.text()) == 0:
pass
elif self.mw.load_y.text() != '' and self.mw.load_x.text(
) != '' and self.mw.load_angle.text() != '':
self.ss.point_load(
node_id=int(self.mw.load_pos.text()),
Fy=float(self.fn.filter(self.mw.load_y.text())),
Fx=float(self.fn.filter(self.mw.load_x.text())),
rotation=float(
self.fn.filter(self.mw.load_angle.text())))
self.mw.last_figure.click()
self.states.append(pickle.dumps(self.ss))
self.fn.enable_buttons()
else:
self.fn.invalid_id_warning()
except:
self.fn.warning()
def add_q_load(self):
try:
if int(self.mw.qload_pos.text()) in self.ss.node_map.keys():
if float(self.mw.qload_initial.text()) >= 0 and float(self.mw.qload_final.text()) >= 0 or \
float(self.mw.qload_initial.text()) <= 0 and float(self.mw.qload_final.text()) <= 0:
self.workaround()
if self.mw.qload_initial.text() == '':
self.mw.qload_final.setText(
self.fn.filter(self.mw.qload_final.text()))
if self.mw.qload_final.text() == '':
self.mw.qload_final.setText(
self.fn.filter(self.mw.qload_initial.text()))
self.ss.q_load(
element_id=int(self.mw.qload_pos.text()),
q=(float(self.fn.filter(self.mw.qload_initial.text())),
float(self.fn.filter(self.mw.qload_final.text()))))
self.mw.last_figure.click()
self.states.append(pickle.dumps(self.ss))
self.fn.enable_buttons()
else:
msg = QMessageBox()
msg.setWindowTitle(self.mw.warning_title)
msg.setText(self.mw.qload_warning)
msg.setIcon(QMessageBox.Warning)
x = msg.exec_()
else:
self.fn.invalid_id_warning()
except:
self.fn.warning()
def visualize_structure(self):
if self.ss.element_map:
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
self.fn.visualize(
self.ss.show_structure(show=False,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
ax.patch.set_alpha(0.2)
self.mw.last_figure = self.mw.show_structure
else:
self.mw.MplWidget.plot(has_grid=self.mw.gridBox.isChecked())
self.fn.figurefix()
self.mw.last_figure = None
def visualize_diagram(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_structure(show=False,
free_body_diagram=1,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
self.mw.last_figure = self.mw.show_diagram
def visualize_supports(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_reaction_force(
show=False, figure=(self.mw.MplWidget.canvas.figure, ax)))
self.mw.last_figure = self.mw.show_supports
def visualize_normal(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_axial_force(show=False,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
self.mw.last_figure = self.mw.show_normal
def visualize_shear(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_shear_force(show=False,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
self.mw.last_figure = self.mw.show_shear
def visualize_moment(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_bending_moment(
show=False, figure=(self.mw.MplWidget.canvas.figure, ax)))
self.mw.last_figure = self.mw.show_moment
def visualize_displacement(self):
self.solve()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_displacement(show=False,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
self.mw.last_figure = self.mw.show_displacement
def solve(self):
self.was_solved = True
self.ss.solve()
def static_solver(self, clean=True):
if find_executable('latex'):
if self.mw.show_moment.isEnabled():
if (len(self.ss.supports_roll) == 1 and len(self.ss.supports_hinged) == 1) \
or (len(self.ss.supports_fixed) == 1):
dialog = QDialog()
prompt = PathPrompt(self.mw.language, dialog)
dialog.exec_()
if not prompt.userTerminated:
solve_path = prompt.path
file, ok = QFileDialog.getSaveFileName(
self.mw, self.mw.pdf_title, self.mw.pdf_text,
"PDF (*.pdf)")
if ok:
try:
self.mw.toolBox.setCurrentIndex(0)
pdf_dir, filename = split_dir_filename(file)
make_pdf_folders(pdf_dir)
self.ss.color_scheme = "bright"
plt.style.use('default')
mn = Manager(self.ss)
pdf_generator_thread = PDFGeneratorThread(
mn.generate_pdf,
self.mw.language,
pdf_path=pdf_dir,
filename=filename,
solve_path=solve_path,
path_warning=self.fn.path_warning,
)
self.fn.setupLoading(pdf_generator_thread)
pdf_generator_thread.finished.connect(
self.on_finished)
pdf_generator_thread.start()
self.mw.loadingScreen.exec_()
if not self.mw.loadingUi.userTerminated:
self.fn.pdf_generated_prompt()
if clean:
delete_folder(pdf_dir)
self.ss.color_scheme = "dark"
plt.style.use('dark_background')
except:
self.fn.latex_packages_warning()
else:
self.fn.static_warning()
else:
self.fn.warning()
else:
self.fn.latex_warning()
def on_finished(self):
self.mw.loadingScreen.close()
def reset_struct_elems(self):
self.ss = SystemElements()
self.ss.color_scheme = "dark"
self.states.clear()
self.mw.MplWidget.plot(has_grid=self.mw.gridBox.isChecked())
self.mw.MplWidget.set_background_alpha()
self.mw.MplWidget.set_subplot_alpha()
self.fn.figurefix()
self.was_solved = False
self.fn.disable_buttons()
def load_structure_aux(self, file):
with open(f'{file}', 'rb') as f:
self.ss, _, _ = pickle.load(f)
self.mw.struct_loaded = True
def workaround(self):
if self.was_solved:
self.ss = pickle.loads(self.states[-1])
self.was_solved = False
def reset(self):
self.workaround()
self.ss.remove_loads()
self.mw.MplWidget.canvas.figure.clear()
ax = self.mw.MplWidget.canvas.figure.add_subplot(111)
ax.patch.set_alpha(0.2)
self.fn.visualize(
self.ss.show_structure(show=False,
figure=(self.mw.MplWidget.canvas.figure,
ax)))
self.states.append(pickle.dumps(self.ss))
self.fn.disable_buttons()
from StructuresExplained.solutions.structure.reactions.assembler import Assembler
if __name__ == "__main__":
from anastruct import SystemElements
from sympy import sympify
ss = SystemElements()
ss.add_element([[0, 0], [1, 0]])
ss.add_element([[1, 0], [1, 1]])
ss.add_element([[1, 0], [2, 0]])
ss.add_element([[2, 0], [3, 0]])
ss.point_load(2, Fy=10)
ss.point_load(3, Fy=-20)
ss.point_load(4, Fy=-30)
ss.point_load(5, Fx=-40)
ss.moment_load(2, Ty=-9)
ss.moment_load(1, 7)
ss.moment_load(3, 3)
ss.q_load(element_id=3, q=(-10, -20))
ss.add_support_roll(4)
ss.add_support_hinged(5)
ss.solve()
ass = Assembler(ss)
ass.assemble_structure()
print(
f"{sympify(ass.res.point_sum_y, evaluate=False)}\n{sympify(ass.res.point_sum_x, evaluate=False)}\n{ass.res.moments_sum}\n")
def get_diagram():
'''
Recebe um parâmetro numerico que identifica o tipo de diagrama a ser retornado
0 = Estrutural
1 = Forças de reação
2 = Axial
3 = Cortante
4 = Fletor
5 = Displacement ?
Requisita os parâmetros, via json:
apoio1 e apoio2, que são os tipos dos apoios
apoio1pos e apoio2pos, que são as posições dos dois apoios
cargap, que é a posição da carga
cargam, que é o módulo da carga
Tipo dos apoios:
0 = Primeiro gênerio (roll)
1 = Segundo gênero (hinged)
2 = Tercêiro Gênero (fixed)
'''
tipo = int(request.args.get('tipo'))
r = requests.get('https://calculusapi.herokuapp.com/test')
apoio1tipo, apoio2tipo = r.json().get('apoio1'), r.json().get('apoio2')
apoio1pos, apoio2pos = r.json().get('apoio1p'), r.json().get('apoio2p')
cargapos = r.json().get('cargap')
cargamod = r.json().get('cargam')
ss = SystemElements()
#criação da barra
ss.add_element(location=[[0, 0], [3, 0]])
ss.add_element(location=[[3, 0], [8, 0]])
#adição do primeiro apoio
if apoio1tipo == 0:
ss.add_support_roll(node_id=apoio1pos)
elif apoio1tipo == 1:
ss.add_support_hinged(node_id=apoio1pos)
else:
ss.add_support_fixed(node_id=apoio1pos)
#adição do segundo apoio
if apoio2tipo == 0:
ss.add_support_roll(node_id=apoio2pos)
elif apoio2tipo == 1:
ss.add_support_hinged(node_id=apoio2pos)
else:
ss.add_support_fixed(node_id=apoio2pos)
#adição da carga
ss.q_load(element_id=cargapos, q=cargamod)
#geração dos diagramas
ss.solve()
img = io.BytesIO()
if tipo == 0:
ss.show_structure(show=False).savefig(img)
elif tipo == 1:
ss.show_reaction_force(show=False).savefig(img)
elif tipo == 2:
ss.show_axial_force(show=False).savefig(img)
elif tipo == 3:
ss.show_shear_force(show=False).savefig(img)
elif tipo == 4:
ss.show_bending_moment(show=False).savefig(img)
elif tipo == 5:
ss.show_displacement(show=False).savefig(img)
img.seek(0)
return send_file(img, mimetype='image/png')
final = i.incidences_f
ss.add_element(location=[[inicial.x, inicial.y], [final.x, final.y]])
# for i in range(1, len(point_list)+1):
# j = i+1
# for j in range(len(point_list)+1):
# for element in element_list:
# inicial = element.incidences_i
# final = element.incidences_f
# if i == int(inicial.name) and j == int(final.name):
# ss.add_element(location=[[inicial.x,inicial.y], [final.x, final.y]])
for i in point_list:
ponto = ss.find_node_id([i.x, i.y])
if i.x_fixed == True and i.y_fixed == False:
ss.add_support_roll(node_id=ponto, direction=1)
elif i.x_fixed == False and i.y_fixed == True:
ss.add_support_roll(node_id=ponto, direction=2)
elif i.x_fixed == True and i.y_fixed == True:
ss.add_support_fixed(node_id=ponto)
for i in load_list:
ponto = ss.find_node_id(
[point_list[int(i.point)-1].x, point_list[int(i.point)-1].y])
ss.point_load(node_id=ponto, Fx=int(
i.intensity_x), Fy=int(i.intensity_y))
ss.show_structure()
ss.solve()
ss.show_displacement()
# point_list, element_list, load_list = calc(point_list, element_list, load_list)
def accept(self):
try:
E = float(self.form.editE.text()) # N/mm2
I = float(self.form.editI.text()) # mm4
A = float(self.form.editA.text()) # mm2
ss = SystemElements()
frame = FreeCAD.ActiveDocument.getObjectsByLabel(
self.form.comboBox.currentText())[0]
sk = frame.Base
j = 0
# CREATE MEMBERS OF STRUCTURE
for l in sk.Geometry:
sp = [i * 1e-3 for i in list(l.StartPoint)[:2]]
ep = [i * 1e-3 for i in list(l.EndPoint)[:2]]
if self.combotypes[j].currentText() == 'beam':
ss.add_element([sp, ep], EA=E * A * 1e-3, EI=E * I * 1e-9)
elif self.combotypes[j].currentText() == 'brace':
ss.add_truss_element([sp, ep], EA=E * A * 1e-3)
j += 1
# SET DISTRIBUTED LOADS
if self.form.radioFrame.isChecked():
for i in list(range(len(sk.Geometry))):
if self.form.tableDistrib.item(i, 2):
item = self.form.tableDistrib.item(i, 2)
try:
load = float(item.text()) # kN/m
ss.q_load(element_id=(i + 1), q=load)
except:
pass
for c in self.combos:
i = self.combos.index(c) + 1
# SET NODE CONSTRAINTS
if c.currentText() == 'fix': ss.add_support_fixed(node_id=i)
elif c.currentText() == 'hinge':
ss.add_support_hinged(node_id=i)
elif c.currentText() == 'roll':
ss.add_support_roll(node_id=i)
# SET NODE FORCES
if self.form.tableConc.item(
i - 1, 1) or self.form.tableConc.item(i - 1, 2):
itemX = self.form.tableConc.item(i - 1, 1)
try:
loadX = float(itemX.text()) # kN
except:
loadX = 0
itemY = self.form.tableConc.item(i - 1, 2) # kN
try:
loadY = float(itemY.text())
except:
loadY = 0
ss.point_load(node_id=(i), Fx=loadX, Fy=loadY)
# SOLVE AND VALIDATE
ss.solve()
# stable=ss.validate(.0000001)
# SHOW RESULTS ACCORDING THE CALC TYPE
if True: #stable:
if self.form.radioFrame.isChecked():
ss.show_results()
elif self.form.radioTruss.isChecked():
ss.show_axial_force()
else:
FreeCAD.Console.PrintError('The structure is not stable.\n')
except:
FreeCAD.Console.PrintError('Invalid input\n')
for l in self.labNodes + self.labEl:
l.removeLabel()
