Reference

Created on Wed Jan 16 18:02:25 2019

@author: lpaone

`ConcreteSection`

Class that instantiate a general concrete section

Reference for geometry is:

             ----------------
             |              |
             |              |
             |    Y ^       |
             |      |       |
             |      |   X   |
             |      O--->   |
             |              |
             |              |
             |              |
             ----------------

for forces and moments (N compression negative)

             ----------------
             |              |
             |              |
             |      --.     |
             |  My     \    |
             |  <<--O   ;   |
             |      |  /    |
             |     <--      |
             |  N = Fx < 0  |
             |              |
             ----------------

`calBarycenter(alphaWeight=False, weights=False)`

Calculate barycenter for ideal section using homogeneization

Calculate barycenter for ideal section using homogeneization. For normal use and not for design alphaWeight and weights should be left False.

Parameters:

Name	Type	Description	Default
`alphaWeight`			`False`
`weights`			`False`

Returns:

Type	Description
`Point2d`	A point 2D that represent barycenter

`calProp_Ihx(alphaWeight=False, weights=False, barycenter=False)`

Function calculates moment of inertia along x-axis where x-axis is horizontal axis that goes through xhg-axis. This axis is the barycenter axis of homogeneized section Args: barycenter: if True prop will be calculated on barycentric axis alphaWeight: moltiplication factor for all rebars weights: TODO

Returns:

Name	Type	Description
`float`	`float`	barycenter axis of homogeneized section

`getConcrStress()`

Retrive concrete stresses ordered as shape vertex order

For example in rectangular shape order will be:

index	shape vertex
i=0	'BL'
i=1	'BR'
i=2	'TL'
i=3	'TR'

Returns:

Bases: ConcreteSection

`setDimH(h)`

Set dimension height in [mm] for section rectangular

Parameters:

Name	Type	Description	Default
`h`	`float`	height in [mm]	required

`setDimW(w)`

Set dimension width in [mm] for section rectangular

Parameters:

Name	Type	Description	Default
`w`	`float`	width in [mm]	required

`solverSLS_NM(N=0.0, M=0.0, uncracked=False)`

Solver for axial and flexural effort (N and M) in rc-section. M positive if positive fiber is in compression and N negative if produces compression. Normal effort N is applied on barycenter of rectangular section.

Parameters:

Name	Type	Description	Default
`N`	`float`	Normal effort negative for compression	`0.0`
`M`	`float`	Flexural effort positive intended if it strech inferior fibers	`0.0`
`uncracked`	`bool`	If True section will be intended totally responsive in traction and compression	`False`

Returns:

Type	Description
`float`	$\sigma_c$ max compression on concrete vertices
`float`	$\sigma_s$ max traction on steel rebars
`float \| None`	$x_i$ (float\|Any) measured from top to bottom also if M is negative None will be returned when N and M are 0. When cases are pure tension or compression math.inf will be returned.