SteelIShape Class Reference

Class that stores funcions, geometric and mechanical properties of a steel double symmetric I-shape profile. More...

Inheritance diagram for SteelIShape:

Public Member Functions
def	__init__ (self, str Type, d, bf, tf, tw, L, r, E, Fy, Fy_web=-1, name_tag="Not Defined")
	The conctructor of the class. More...
def	Compute_iy (self)
	Compute the gyration radius with respect to the strong axis. More...
def	Compute_iz (self)
	Compute the gyration radius with respect to the weak axis. More...
def	ComputeA (self)
	Compute the area of a double symmetric I-profile section with fillets. More...
def	ComputeIy (self)
	Compute the moment of inertia of a double symmetric I-profile section, with respect to its strong axis with fillets. More...
def	ComputeIz (self)
	Compute the moment of inertia of a double symmetric I-profile section, with respect to its weak axis with fillets. More...
def	ComputeWply (self)
	Compute the plastic modulus of a double symmetric I-profile section, with respect to its strong axis with fillets. More...
def	ComputeWplz (self)
	Compute the plastic modulus of a double symmetric I-profile section, with respect to its weak axis with fillets. More...
def	ReInit (self)
	Implementation of the homonym abstract method. More...
def	ShowInfo (self)
	Implementation of the homonym abstract method. More...
def	UpdateStoredData (self)
	Implementation of the homonym abstract method. More...

Public Attributes
	A
	bf
	d
	data
	E
	Fy
	Fy_web
	h_1
	Iy
	iy
	Iy_mod
	Iz
	iz
	L
	My
	name_tag
	Npl
	r
	tf
	tw
	Type
	Wply
	Wplz

Static Public Attributes
float	n = 10.0

Detailed Description

Class that stores funcions, geometric and mechanical properties of a steel double symmetric I-shape profile.

The parameter 'n' is used as global throughout the SteelIShape sections to optimise the program (given the fact that is constant everytime).

Parameters

Section

Parent abstract class.

Definition at line 22 of file Section.py.

Constructor & Destructor Documentation

__init__()

def __init__	(		self,
		str	Type,
			d,
			bf,
			tf,
			tw,
			L,
			r,
			E,
			Fy,
			Fy_web = -1,
			name_tag = "Not Defined"
	)

The conctructor of the class.

Parameters

Type	(str): Type of the section. It can be 'Col' for column or 'Beam' for beams.
d	(float): Depth of the section.
bf	(float): Flange's width of the section
tf	(float): Flange's thickness of the section
tw	(float): Web's thickness of the section
L	(float): Effective length of the element associated with this section. If the panel zone is present, exclude its dimension.
r	(float): Radius of the weld fillets of the section.
E	(float): Young modulus of the section.
Fy	(float): Yield strength of the flange of the section. Used as the yield strength of the entire section.
Fy_web	(float, optional): Yield strength of the web of the section. Used for panel zone associated to this section. Defaults to -1, e.g. computed in init() as equal to Fy.
name_tag	(str, optional): Name TAG of the section. Defaults to "Not Defined".

Exceptions

WrongArgument	Type needs to be 'Col' or 'Beam'.
NegativeValue	d needs to be positive.
NegativeValue	bf needs to be positive.
NegativeValue	tf needs to be positive.
NegativeValue	tw needs to be positive.
NegativeValue	L needs to be positive.
NegativeValue	r needs to be positive.
NegativeValue	E needs to be positive.
NegativeValue	Fy needs to be positive.
NegativeValue	Fy_web needs to be positive if different from -1.
InconsistentGeometry	tw should be smaller than bf.
InconsistentGeometry	tf needs to be smaller than half of d
InconsistentGeometry	r should be less than half bf and d

Definition at line 32 of file Section.py.

    def __init__(self, Type: str, d, bf, tf, tw, L, r, E, Fy, Fy_web = -1, name_tag = "Not Defined"):
        """
        The conctructor of the class.
 
        @param Type (str): Type of the section. It can be 'Col' for column or 'Beam' for beams.
        @param d (float): Depth of the section.
        @param bf (float): Flange's width of the section
        @param tf (float): Flange's thickness of the section
        @param tw (float): Web's thickness of the section
        @param L (float): Effective length of the element associated with this section.
            If the panel zone is present, exclude its dimension.
        @param r (float): Radius of the weld fillets of the section.
        @param E (float): Young modulus of the section.
        @param Fy (float): Yield strength of the flange of the section. Used as the yield strength of the entire section.
        @param Fy_web (float, optional): Yield strength of the web of the section. Used for panel zone associated to this section.
            Defaults to -1, e.g. computed in __init__() as equal to Fy.
        @param name_tag (str, optional): Name TAG of the section. Defaults to "Not Defined".
 
        @exception WrongArgument: Type needs to be 'Col' or 'Beam'.
        @exception NegativeValue: d needs to be positive.
        @exception NegativeValue: bf needs to be positive.
        @exception NegativeValue: tf needs to be positive.
        @exception NegativeValue: tw needs to be positive.
        @exception NegativeValue: L needs to be positive.
        @exception NegativeValue: r needs to be positive.
        @exception NegativeValue: E needs to be positive.
        @exception NegativeValue: Fy needs to be positive.
        @exception NegativeValue: Fy_web needs to be positive if different from -1.
        @exception InconsistentGeometry: tw should be smaller than bf.
        @exception InconsistentGeometry: tf needs to be smaller than half of d
        @exception InconsistentGeometry: r should be less than half bf and d
        """
        # Check
        if Type != "Beam" and Type != "Col": raise WrongArgument()
        if d < 0: raise NegativeValue()
        if bf < 0: raise NegativeValue()
        if tf < 0: raise NegativeValue()
        if tw < 0: raise NegativeValue()
        if L < 0: raise NegativeValue()
        if r < 0: raise NegativeValue()
        if E < 0: raise NegativeValue()
        if Fy < 0: raise NegativeValue()
        if Fy_web != -1 and Fy_web < 0: raise NegativeValue()
        if tw > bf: raise InconsistentGeometry()
        if tf > d/2: raise InconsistentGeometry()
        if r > bf/2 or r > d/2: raise InconsistentGeometry()
 
        # Arguments
        self.Type = Type
        self.d = d
        self.bf = bf
        self.tf = tf
        self.tw = tw
        self.L = L
        self.r = r
        self.E = E
        self.Fy = Fy
        self.Fy_web = Fy if Fy_web == -1 else Fy_web
        self.name_tag = name_tag
 
        # Initialized the parameters that are dependent from others
        self.ReInit()
 

Member Function Documentation

Compute_iy()

def Compute_iy

(

self

)

Compute the gyration radius with respect to the strong axis.

Returns

float: The gyration radius with respect to the strong axis.

Definition at line 241 of file Section.py.

    def Compute_iy(self):
        """
        Compute the gyration radius with respect to the strong axis.
 
        @returns float: The gyration radius with respect to the strong axis.
        """
        #  Iy :    The second moment of inertia with respect to thte strong axis
        #  A :     The area
 
        return math.sqrt(self.Iy/self.A)
 

Compute_iz()

def Compute_iz

(

self

)

Compute the gyration radius with respect to the weak axis.

Returns

float: The gyration radius with respect to the weak axis.

Definition at line 252 of file Section.py.

    def Compute_iz(self):
        """
        Compute the gyration radius with respect to the weak axis.
 
        @returns float: The gyration radius with respect to the weak axis.
        """
        #  Iz :    The second moment of inertia with respect to thte weak axis
        #  A :     The area
 
        return math.sqrt(self.Iz/self.A)
 
 

ComputeA()

def ComputeA

(

self

)

Compute the area of a double symmetric I-profile section with fillets.

Returns

float: Area of the I shape section (with fillets included)

Definition at line 170 of file Section.py.

    def ComputeA(self):
        """
        Compute the area of a double symmetric I-profile section with fillets.
 
        @returns float: Area of the I shape section (with fillets included)
        """
        #  d :     The depth
        #  bf :    The flange's width
        #  tf :    The flange's thickness
        #  tw :    The web's thickness
        #  r :     The weld fillet radius
 
        # without fillets bf*tf*2 + tw*(d-2*tf)
        return 2.0*self.bf*self.tf+self.tw*(self.d-2.0*self.tf)+0.8584*self.r**2
 

ComputeIy()

def ComputeIy

(

self

)

Compute the moment of inertia of a double symmetric I-profile section, with respect to its strong axis with fillets.

Returns

float: The moment of inertia with respect to the strong axis.

Definition at line 185 of file Section.py.

    def ComputeIy(self):
        """
        Compute the moment of inertia of a double symmetric I-profile section, with respect to its strong axis with fillets.
 
        @returns float: The moment of inertia with respect to the strong axis.
        """
        #  d :     The depth
        #  bf :    The flange's width
        #  tf :    The flange's thickness
        #  tw :    The web's thickness
        #  r :     The weld fillet radius
 
        # without fillets: bf*tf/2*(d-tf)**2 + bf*tf**3/6 + (d-tf*2)**3*tf/12 
        return (self.bf*self.d**3.0-(self.bf-self.tw)*(self.d-2.0*self.tf)**3)/12.0+0.8584*self.r**2*(0.5*self.d-self.tf-0.4467*self.r/2.0)**2
 

ComputeIz()

def ComputeIz

(

self

)

Compute the moment of inertia of a double symmetric I-profile section, with respect to its weak axis with fillets.

Returns

float: The moment of inertia with respect to the weak axis.

Definition at line 200 of file Section.py.

    def ComputeIz(self):
        """
        Compute the moment of inertia of a double symmetric I-profile section, with respect to its weak axis with fillets.
 
        @returns float: The moment of inertia with respect to the weak axis.
        """
        #  d :     The depth
        #  bf :    The flange's width
        #  tf :    The flange's thickness
        #  tw :    The web's thickness
        #  r :     The weld fillet radius
 
        return (self.tf*self.bf**3)/6.0+((self.d-2.0*self.tf)*self.tw**3)/12.0+0.8584*self.r**2*(0.5*self.tw+0.2234*self.r)**2
 

ComputeWply()

def ComputeWply

(

self

)

Compute the plastic modulus of a double symmetric I-profile section, with respect to its strong axis with fillets.

Returns

float: The plastic modulus with respect to the strong axis.

Definition at line 214 of file Section.py.

    def ComputeWply(self):
        """
        Compute the plastic modulus of a double symmetric I-profile section, with respect to its strong axis with fillets.
 
        @returns float: The plastic modulus with respect to the strong axis.
        """
        #  d :     The depth
        #  bf :    The flange's width
        #  tf :    The flange's thickness
        #  tw :    The web's thickness
        #  r :     The weld fillet radius
 
        return self.bf*self.tf*(self.d-self.tf)+(self.d-2.0*self.tf)**2.0*(self.tw/4.0)+0.4292*self.r**2*(self.d-2.0*self.tf-0.4467*self.r)
 

ComputeWplz()

def ComputeWplz

(

self

)

Compute the plastic modulus of a double symmetric I-profile section, with respect to its weak axis with fillets.

Returns

float: The plastic modulus with respect to the weak axis.

Definition at line 228 of file Section.py.

    def ComputeWplz(self):
        """
        Compute the plastic modulus of a double symmetric I-profile section, with respect to its weak axis with fillets.
 
        @returns float: The plastic modulus with respect to the weak axis.
        """
        #  d :     The depth
        #  bf :    The flange's width
        #  tf :    The flange's thickness
        #  tw :    The web's thickness
        #  r :     The weld fillet radius
        return (self.tf*self.bf**2)/2+(self.d-2.0*self.tf)*(self.tw**2/4.0)+0.4292*self.r**2*(self.tw+0.4467*self.r)
 

ReInit()

def ReInit

(

self

)

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Definition at line 95 of file Section.py.

    def ReInit(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        # Member
        self.h_1 = self.d - 2.0*self.r -2.0*self.tf
        self.A = self.ComputeA()
        self.Npl = self.A*self.Fy
        self.Iy = self.ComputeIy()
        self.Iz = self.ComputeIz()
        self.Wply = self.ComputeWply()
        self.Wplz = self.ComputeWplz()
        self.My = self.Fy*self.Wply
        self.Iy_mod = self.Iy*(n + 1.0)/n
        self.iz = self.Compute_iz()
        self.iy = self.Compute_iy()
 
        # Data storage for loading/saving
        self.UpdateStoredData()
 

ShowInfo()

def ShowInfo

(

self

)

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Definition at line 145 of file Section.py.

    def ShowInfo(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        print("")
        print("Requested info for steel I shape section of type = {} and name tag = {}".format(self.Type, self.name_tag))
        print("d = {} mm".format(self.d/mm_unit))
        print("Fy = {} MPa".format(self.Fy/MPa_unit))
        print("Fy web = {} MPa".format(self.Fy_web/MPa_unit))
        print("E = {} GPa".format(self.E/GPa_unit))
        print("h_1 = {} mm".format(self.h_1/mm_unit))
        print("A = {} mm2".format(self.A/mm2_unit))
        print("Iy = {} mm4".format(self.Iy/mm4_unit))
        print("Iz = {} mm4".format(self.Iz/mm4_unit))
        print("Wply = {} mm3".format(self.Wply/mm3_unit))
        print("Wplz = {} mm3".format(self.Wplz/mm3_unit))
        print("Iy_mod = {} mm4".format(self.Iy_mod/mm4_unit))
        print("iy = {} mm".format(self.iy/mm_unit))
        print("iz = {} mm".format(self.iz/mm_unit))
        print("My = {} kNm".format(self.My/kNm_unit))
        print("Npl = {} kN".format(self.Npl/kN_unit))
        print("")
 
 

UpdateStoredData()

def UpdateStoredData

(

self

)

Implementation of the homonym abstract method.

See parent class DataManagement for detailed information.

Definition at line 116 of file Section.py.

    def UpdateStoredData(self):
        """
        Implementation of the homonym abstract method.
        See parent class DataManagement for detailed information.
        """
        self.data = [["INFO_TYPE", "SteelIShape"], # Tag for differentiating different data
            ["name_tag", self.name_tag], 
            ["Type", self.Type], 
            ["d", self.d], 
            ["bf", self.bf], 
            ["tf", self.tf], 
            ["tw", self.tw], 
            ["L", self.L], 
            ["r", self.r], 
            ["h_1", self.h_1], 
            ["E", self.E], 
            ["Fy", self.Fy], 
            ["Fy_web", self.Fy_web], 
            ["A", self.A], 
            ["Iy", self.Iy], 
            ["Iz", self.Iz], 
            ["Wply", self.Wply], 
            ["Wplz", self.Wplz], 
            ["Iy_mod", self.Iy_mod], 
            ["iy", self.iy],
            ["iz", self.iz],
            ["Npl", self.Npl], 
            ["My", self.My]] 
 

Member Data Documentation

A

A

Definition at line 102 of file Section.py.

bf

bf

Definition at line 82 of file Section.py.

d

d

Definition at line 81 of file Section.py.

data

data

Definition at line 121 of file Section.py.

E

E

Definition at line 87 of file Section.py.

Fy

Fy

Definition at line 88 of file Section.py.

Fy_web

Fy_web

Definition at line 89 of file Section.py.

h_1

h_1

Definition at line 101 of file Section.py.

Iy

Iy

Definition at line 104 of file Section.py.

iy

iy

Definition at line 111 of file Section.py.

Iy_mod

Iy_mod

Definition at line 109 of file Section.py.

Iz

Iz

Definition at line 105 of file Section.py.

iz

iz

Definition at line 110 of file Section.py.

L

L

Definition at line 85 of file Section.py.

My

My

Definition at line 108 of file Section.py.

n

float n = 10.0

static

Definition at line 30 of file Section.py.

name_tag

name_tag

Definition at line 90 of file Section.py.

Npl

Npl

Definition at line 103 of file Section.py.

r

r

Definition at line 86 of file Section.py.

tf

tf

Definition at line 83 of file Section.py.

tw

tw

Definition at line 84 of file Section.py.

Type

Type

Definition at line 80 of file Section.py.

Wply

Wply

Definition at line 106 of file Section.py.

Wplz

Wplz

Definition at line 107 of file Section.py.

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The documentation for this class was generated from the following file:

• /media/carmine/DATA/Programmi/OpenSeesPyAssistant/Section.py