m_n_kappa.SingleSpanUniformLoad#

class m_n_kappa.SingleSpanUniformLoad(length, load=1.0)#

Bases: ABCSingleSpan

single span with uniform load

New in version 0.1.0.

Parameters:

length (float) – length of the beam-span
load (float) – line-load the beam is uniformly loaded with (default: 1.0)

See also

SingleSpanSingleLoads: single-span with a number of single loads

Examples

For computation of the internal forces of a single span girder under a uniform load SingleSpanUniformLoad has to be initialized as follows.

>>> from m_n_kappa import SingleSpanUniformLoad
>>> uniform_loading = SingleSpanUniformLoad(length=8000, load=10)

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

>>> uniform_loading.loading
80000.0

The maximum moment is returned by attribute maximum_moment.

>>> uniform_loading.maximum_moment
80000000.0

Similar moment is computed by using positions_of_maximum_moment() and pass the resulting value moment().

>>> uniform_max_loading_position = uniform_loading.positions_of_maximum_moment()
>>> uniform_loading.moment(at_position=uniform_max_loading_position[0])
80000000.0

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

>>> uniform_loading.transversal_shear_support_left, uniform_loading.transversal_shear_support_right
(40000.0, -40000.0)

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

>>> uniform_loading.transversal_shear(at_position=uniform_max_loading_position[0])
0.0

Methods

`load_by`(moment, at_position)	load by the given moment at the given position
`load_by_moment`(maximum_moment)	compute load by given maximum moment
`load_distribution_factor`()	factor showing how the moment is distributed
`moment`(at_position)	moment at the given position
`position_of_maximum_deformation`()	positions-value of the maximum-deformation
`positions_of_maximum_moment`()	position_value where the moment is the maximum
`transversal_shear`(at_position)	transversal shear value at the given position

Attributes

`length`	length of the beam span
`load`	line load the beam is loaded with
`loading`	total load of the beam span
`maximum_moment`	maximum moment
`positions`	positions of load-introduction
`transversal_shear_support_left`	value of transversal shear at the left support
`transversal_shear_support_right`	value of transversal shear at 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_by_moment(maximum_moment)#

compute load by given maximum moment

Parameters:: maximum_moment (float) – maximum moment
Returns:: load leading to the given maximum moment
Return type:: float

load_distribution_factor()#

factor showing how the moment is distributed

Return type:: float

moment(at_position)#

moment at the given position

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

position_of_maximum_deformation()#

positions-value of the maximum-deformation

Return type:: float

positions_of_maximum_moment()#

position_value where the moment is the maximum

Return type:: list[float]

transversal_shear(at_position)#

transversal shear value at the given position

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

property length: float#: length of the beam span

property load: float#: line load the beam is loaded with

property loading: float#: total load of the beam span

property maximum_moment: float#: maximum moment

property positions: list[float]#: positions of load-introduction

property transversal_shear_support_left#: value of transversal shear at the left support

property transversal_shear_support_right#: value of transversal shear at the right support