m_n_kappa.SingleSpanSingleLoads#

class m_n_kappa.SingleSpanSingleLoads(length, loads)#

Bases: ABCSingleSpan

single span with single load(s)

New in version 0.1.0.

Parameters:

length (float) – length of the beam-span
loads (list[SingleLoad]) – loads applied to the beam

See also

SingleSpanUniformLoad: single-span with uniform loading

Examples

For computation of the internal forces of a single span girder under a single load(s), before initializing SingleSpanSingleLoads at least one :py:class`~m_n_kappa.SingleLoad` is needed to define the position and its magnitude.

>>> from m_n_kappa import SingleSpanSingleLoads, SingleLoad
>>> single_load_middle = SingleLoad(position_in_beam=4000, value=10)
>>> single_loading = SingleSpanSingleLoads(length=8000, loads=[single_load_middle])

The total loading from the single loading may be derived as follows.

>>> single_loading.loading
10.0

The maximum moment is returned by attribute maximum_moment.

>>> single_loading.maximum_moment
20000.0

Similar moment is computed by using positions_of_maximum_moment() and pass the resulting value moment(). Of course, all positions along the beam may be passed to moment() to compute the corresponding moment.

>>> max_loading_position = single_loading.positions_of_maximum_moment()
>>> max_loading_position
[4000.0]

>>> single_loading.moment(at_position=max_loading_position[0])
20000.0

The resulting transversal shear loads at the support are computed as follows.

>>> single_loading.transversal_shear_support_left, single_loading.transversal_shear_support_right
(5.0, -5.0)

Using the corresponding transversal_shear()-method gives us at the position of maximum moment a value of 0.0, as expected.

>>> single_loading.transversal_shear(at_position=max_loading_position[0])
0.0

Methods

`load_by`(moment, at_position)	load by the given moment at the given position
`load_by_factor`(moment, at_position)
`load_distribution_factor`()	factor showing how the moment is distributed depending on the loads
`moment`(at_position)	moment at the given position_value
`moment_by`(load, at_position)	moment at the given position by the given load
`position_of_maximum_deformation`()	positions-value of the maximum-deformation
`positions_of_maximum_moment`()	position_value of the maximum moment
`single_loads_with_factor`(factor)	single loads multiplied with the given factor
`single_loads_with_value`(value)	single loads plus given value
`single_span_with_factor`(factor)
`single_span_with_value`(value)
`transversal_shear`(at_position)	transversal shear at the given position_value

Attributes

`length`	length of the beam
`loading`	sum of all loads
`loads`	single loads applied to the beam
`maximum_moment`	maximum moment under the given moment
`positions`	position of the single loads along the beam
`transversal_shear_support_left`	transversal shear load of the left support
`transversal_shear_support_right`	transversal shear load of the right support

load_by(moment, at_position)#

load by the given moment at the given position

Parameters:

moment (float) – moment the load leads to
at_position (float) – position-value of the moment

Returns:

load by the moment at the position

Return type:

float

load_distribution_factor()#

factor showing how the moment is distributed depending on the loads

Return type:: float

moment(at_position)#

moment at the given position_value

Parameters:: at_position (float) – position_value where the moment needs to be computed at
Returns:: moment at the given position_value
Return type:: float

static moment_by(load, at_position)#

moment at the given position by the given load

Parameters:

load (SingleLoad) – load applied to th
at_position (float) –

Return type:

float

position_of_maximum_deformation()#

positions-value of the maximum-deformation

Return type:: float

positions_of_maximum_moment()#

position_value of the maximum moment

Return type:: list[float]

single_loads_with_factor(factor)#

single loads multiplied with the given factor

Parameters:: factor (float) –
Return type:: list[m_n_kappa.loading.SingleLoad]

single_loads_with_value(value)#

single loads plus given value

Parameters:: value (float) –
Return type:: list[m_n_kappa.loading.SingleLoad]

transversal_shear(at_position)#

transversal shear at the given position_value

Parameters:: at_position (float) – position_value where the transversal shear needs to be computed at
Returns:: transversal shear at the given position_value
Return type:: float

property length: float#: length of the beam

property loading: float#: sum of all loads

property loads: list[m_n_kappa.loading.SingleLoad]#: single loads applied to the beam

property maximum_moment: float#: maximum moment under the given moment

property positions: list[float]#: position of the single loads along the beam

property transversal_shear_support_left: float#: transversal shear load of the left support

property transversal_shear_support_right: float#: transversal shear load of the right support