m_n_kappa.HeadedStud#

class m_n_kappa.HeadedStud(d, h_sc, f_u, f_cm, s_max=6.0, h_p=None, b_o=None, n_r=1, position=None)#

Bases: ShearConnector

Headed stud shear-connector

New in version 0.2.0.

Parameters:

d (float) – diameter of the shank of the headed stud
h_sc (float) – height of the headed stud
f_u (float) – tensile strength of the headed stud
f_cm (float) – mean concrete strength of the concrete surrounding the headed stud
s_max (float) – maximum slip of the headed stud at failure (Default: 6 mm)
h_p (float) – height of a profiled steel sheeting (Default: None)
b_o (float) – decisive width of a profiled steel sheeting (Default: None)
n_r (int) – number of headed studs in a row (Default: 1)
position (float) – position of the headed stud along the beam

References

Methods

`P_cm`()	mean shear resistance of the headed stud considering concrete-failure according to Roik et al. [1].
`P_sm`()	mean shear resistance of the headed stud considering steel-failure according to Roik et al. [1].
`alpha`()	factor considering the effect of \(d / h_\mathrm{sc}\) on the shear resistance
`k_t`()	Reduction factor considering effect of profiled steel sheeting running perpendicular to the given beam on the shear resistance of the headed stud.
`new`(position)	New shear connector with given position
`shear_load`(slip)	determine the shear-load of the shear connector under a given slip
`slip`(shear_load)	get the slip associated with the given shear-load
`slips`()	slips from the load-slip-curves

Attributes

`P`	maximum shear resistance of the headed stud
`P_max`	Maximum shear-load
`b_o`	decisive width of a profiled steel sheeting
`d`	diameter of the shank of the headed stud
`f_cm`	mean concrete strength of the concrete surrounding the headed stud
`f_u`	tensile strength of the headed stud
`h_p`	height of a profiled steel sheeting
`h_sc`	height of the headed stud
`load_slips`	load-slip-relationship
`n_r`	number of headed studs in a row
`position`	position of the shear-connector along the beam
`s_max`	maximum slip of the headed stud at failure

P_cm()#

mean shear resistance of the headed stud considering concrete-failure according to Roik et al. [1].

Notes

The mean shear connector resistance of a headed studs considering concrete failure \(P_\mathrm{cm}\) is

\[P_\mathrm{cm} = 0.372 \cdot \alpha \cdot d^{2} \cdot \sqrt{f_\mathrm{cm} \cdot E_\mathrm{cm}}\]

where \(d\) is the diameter of the shank of the headed stud, \(f_\mathrm{cm}\) is the mean concrete cylinder compressive strength, \(\alpha\) considers the effect of the \(d / h_\mathrm{sc}`\)-ratio on the shear resistance and \(E_\mathrm{cm}\) is the secant-modulus of the used concrete.

Return type:: float

P_sm()#

mean shear resistance of the headed stud considering steel-failure according to Roik et al. [1].

Notes

The mean shear connector resistance of a headed studs considering steel failure \(P_\mathrm{sm}\) is

\[P_\mathrm{sm} = \frac{\pi \cdot d}{4} \cdot f_\mathrm{u}\]

where \(d\) is the diameter of the shank of the headed stud and \(f_\mathrm{u}\) is the tensile strength of the headed stud.

Return type:: float

alpha()#

factor considering the effect of \(d / h_\mathrm{sc}\) on the shear resistance

Return type:: float

k_t()#

Reduction factor considering effect of profiled steel sheeting running perpendicular to the given beam on the shear resistance of the headed stud.

Notes

\[k_\mathrm{t} = \frac{0.7}{n_\mathrm{r}} \cdot \frac{b_\mathrm{o}}{h_\mathrm{p}} \left( \frac{h_\mathrm{sc}}{h_\mathrm{p}} - 1 \right) \leq 1\]

where \(n_\mathrm{r}\) is the number of headed studs in a row, \(b_\mathrm{o}\) is the decisive concrete with in the trough of the profiled steel sheeting, \(h_\mathrm{p}\) is the height of the profiled steel sheeting and \(h_\mathrm{sc}\) is the height of the headed stud.

Returns:: reduction factor
Return type:: float

new(position)#

New shear connector with given position

Parameters:: position (float) – position of the new shear connector
Returns:: Headed stud at the given position
Return type:: HeadedStud

shear_load(slip)#

determine the shear-load of the shear connector under a given slip

Parameters:: slip (float) – slip the shear-load is to be determined of
Returns:: shear-load of the shear-connector corresponding to the given slip
Return type:: float

slip(shear_load)#

get the slip associated with the given shear-load

begins searching at the end of the load-slip curve

Parameters:: shear_load (float) – shear-load the corresponding slip is looked for
Returns:: slip corresponding with given shear-load
Return type:: float

slips()#

slips from the load-slip-curves

Return type:: list[float]

property P: float#: maximum shear resistance of the headed stud

property P_max: float#: Maximum shear-load

property b_o: float#: decisive width of a profiled steel sheeting

property d: float#: diameter of the shank of the headed stud

property f_cm: float#: mean concrete strength of the concrete surrounding the headed stud

property f_u: float#: tensile strength of the headed stud

property h_p: float#: height of a profiled steel sheeting

property h_sc: float#: height of the headed stud

property load_slips: list[m_n_kappa.shearconnector.LoadSlip]#: load-slip-relationship

property n_r: int#: number of headed studs in a row

property position: float | None#: position of the shear-connector along the beam

property s_max: float#: maximum slip of the headed stud at failure