def test_beam_supports_are_correctly_added():
span = 9
my_beam = Beam(span)
my_beam.rolling_support = 7
assert my_beam._pinned_support == 2
assert my_beam._rolling_support == 7
def test_beam_supports_must_be_within_span():
span = 9
my_beam = Beam(span)
with pytest.raises(ValueError):
my_beam.pinned_support = -3
with pytest.raises(ValueError):
my_beam.rolling_support = 10
def example_shear1():
"""Generate shear force introductory problem schematic"""
my_beam = Beam(6)
my_beam.rolling_support = 0 # x-coordinate of the rolling support
my_beam.pinned_support = 3 # x-coordinate of the pinned support
my_beam.add_loads([PointLoadV(10, 6)]) # 10kN pointing upwards, at x=6m
fig = plt.figure()
my_beam.plot_shear_force(fig.add_subplot(2, 1, 1))
my_beam.plot_bending_moment(fig.add_subplot(2, 1, 2))
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def example_normal1():
"""Generate normal force introductory problem schematic"""
beam = Beam(6)
beam.rolling_support = 0 # x-coordinate of the rolling support
beam.pinned_support = 3 # x-coordinate of the pinned support
beam.add_loads([PointLoadH(5, 6)]) # 5 kN pointing right, at x=6 m
fig = beam.plot_normal_force()
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def example_1():
"""Run example 1"""
beam = Beam(9) # Initialize a Beam object of length 9m
beam.pinned_support = 2 # x-coordinate of the pinned support
beam.rolling_support = 7 # x-coordinate of the rolling support
beam.add_loads((
PointLoadH(10, 3), # 10kN pointing right, at x=3m
PointLoadV(-20, 3), # 20kN downwards, at x=3m
DistributedLoadV(-10, (3, 9)), # 10 kN/m, downwards, for 3m <= x <= 9m
DistributedLoadV(-20 + x**2, (0, 2)), # variable load, for 0m <= x <= 2m
))
fig = beam.plot()
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def defined_canonical_beam(span=9, pinned=2, rolling=7):
my_beam = Beam(span)
my_beam.pinned_support = pinned
my_beam.rolling_support = rolling
my_beam.add_loads([
DistributedLoadV("-10", (3, 9)),
PointLoadV(-20, 3),
DistributedLoadV(-20, (0, 2)),
PointLoadH(15, 5),
DistributedLoadH("-2", (7, 9))
])
x_vec = np.linspace(0, 9, 19)
try:
yield my_beam, x, x_vec
finally:
pass
def example_shear0():
"""Generate shear force introductory problem schematic"""
my_beam = Beam(6)
my_beam.rolling_support = 0 # x-coordinate of the rolling support
my_beam.pinned_support = 3 # x-coordinate of the pinned support
my_beam.add_loads([PointLoadV(10, 6)]) # 10kN pointing upwards, at x=6m
fig = my_beam.plot_beam_diagram()
ax = fig.gca()
ax.text(0, -1.35, r'A', ha='center', va='top')
ax.text(3, -1.35, r'B', ha='center', va='top')
ax.text(5.9, -1.2, r'$P_1=10kN$', ha='right', va='top', color='darkgreen')
ax.axvline(x=2, linestyle='--', color="k", alpha=0.5)
ax.text(2, 0.5, r'Section 1-1', rotation=90, ha='right', va='bottom')
ax.axvline(x=4, linestyle='--', color="k", alpha=0.5)
ax.text(4, 0.5, r'Section 2-2', rotation=90, ha='right', va='bottom')
ax.axvline(x=6, linestyle='--', color="k", alpha=0.5)
ax.text(6, 0.5, r'Section 3-3', rotation=90, ha='right', va='bottom')
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def test_beam_loads_are_correctly_added():
span = 9
my_beam = Beam(span)
loads = [
DistributedLoadV(-20, (0, 2)),
PointLoadV(-20, 3),
DistributedLoadV("-10", (3, 9)),
PointLoadH(15, 5),
DistributedLoadV("-2*x", (1, 3))
]
my_beam.add_loads(loads)
assert my_beam._loads[0] == DistributedLoadV(-20, (0, 2))
assert my_beam._loads[1] == PointLoadV(-20, 3)
assert my_beam._loads[2] == DistributedLoadV("-10", (3, 9))
assert my_beam._loads[3] == PointLoadH(15, 5)
assert my_beam._loads[4] == DistributedLoadH("-2*x", (1, 3))
with pytest.raises(TypeError):
my_beam.add_loads((10, (3, 9)))
def example_2():
"""Run example 2"""
beam = Beam(9)
beam.pinned_support = 2 # x-coordinate of the pinned support
beam.rolling_support = 7 # x-coordinate of the rolling support
eps = 1e-5
beam.add_loads((
DistributedLoadV(-5+x - (x-2)**2 + (x-4)**3, (2+eps, 6.5)),
DistributedLoadV(-x**2*11/4, (0.0, 2)),
DistributedLoadV(-3+(x-6.5)**2*3/(2.5**2), (6.5+eps, 9)),
))
fig = plt.figure(figsize=(6, 7.5))
fig.subplots_adjust(hspace=0.4)
ax1 = fig.add_subplot(3, 1, 1)
beam.plot_beam_diagram(ax1)
ax2 = fig.add_subplot(3, 1, 2)
beam.plot_shear_force(ax2)
ax3 = fig.add_subplot(3, 1, 3)
beam.plot_bending_moment(ax3)
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def example_3():
"""Run example 3"""
beam = Beam(9)
beam.pinned_support = 2 # x-coordinate of the pinned support
beam.rolling_support = 7 # x-coordinate of the rolling support
beam.add_loads((
PointLoadV(3, 6),
PointTorque(30, 4),
))
fig = plt.figure(figsize=(6, 7.5))
fig.subplots_adjust(hspace=0.4)
ax1 = fig.add_subplot(3, 1, 1)
beam.plot_beam_diagram(ax1)
ax2 = fig.add_subplot(3, 1, 2)
beam.plot_shear_force(ax2)
ax3 = fig.add_subplot(3, 1, 3)
beam.plot_bending_moment(ax3)
# save the png and add it to the documentation
mod_path = os.path.dirname(os.path.abspath(__file__)) # current module
save_name = os.path.basename(__file__).replace('.py', '.png') # file name
save_path = os.path.join(mod_path, save_name)
fig.savefig(save_path, transparent=True)
def test_beam_is_correctly_created():
span = 9
my_beam = Beam(span)
assert my_beam._x0 == 0
assert my_beam._x1 == 9