EN

EN1990(Category, SubCategory, SubSubCategory, Period)

Probability factor Cprob according to EN1990

Parameters:       

Category

-

category of use

SubCategory

-

subcategory of use

SubSubCategory

-

subsubcategory of use

Period

-

reference period [years]

Returns: Cprob

The probability factor is calculated according to the formulaCprob formuladerived from EN1991-1-4 formula 4.2. The formula allows to calculate probability factors for a short reference period (even for a one-year period). For a longer reference period it gives the same results as the formula 4.2

 

EN1991-1-1#5.2(Group, Material, Type)

Nominal density for construction materials according to EN1991-1-1#5.2, Annex A1, Fig. A1-A7

Parameters:

Group

-

construction materials group

Material

-

construction material

Type

-

minimal/maximal dead load for selected construction material

Returns: nominal density D [kN/m3]

 

EN1991-1-1#6.3(Category, SubCategory, SubSubCategory, Type, Load, Value, Period)

Static characteristic values of imposed loads: concentrated load fk, distributed load qk according to EN1991-1-1#6.3

Parameters:       

Category

-

category of use

SubCategory

-

subcategory of use

SubSubCategory

-

subsubcategory of use

Type

-

min/default/max imposed load

Load

-

concentrated /distributed imposed load

Value

-

uniformly distributed load qk [kN/m2] or concentrated load Qk [kN]

Period

-

reference period [years]

Returns: fk [kN], qk [kN/m2]

 

Dynamic characteristic values of imposed loads according EN1991-1-1#6.3:

fk=fk*Cprob, qk=qk*Cprob

 

EN1991-1-1#6.3.1.2(Category, SubCategory, SubSubCategory, N)

Reduction factor alfa_n for loaded areas according to EN1991-1-1#6.3.1.2

Parameters:       

Cat

-

category of use

SubCat

-

subcategory of use

SubSubCategory

-

subsubcategory of use

N

-

number of storeys (> 2) above the loaded structural elements from the same category

Returns: alfa_n

 

EN1991-1-3#4.1(A, Zone, Region)

Characteristic value of snow load on the ground Sk according to EN1991-1-3#4.1

Parameters:       

Region

-

European climatic region

Zone

-

zone number given on the map

A

-

site altitude above sea level [m]

Returns: Sk [kN/m2]

 

Ground snow load Sn [kN/m2] according to return period according to EN1991-1-3#D:

Sn=Sk*Cprob

 

EN1991-1-3#5.2.7(Topography)

Exposure coefficient Ce for determining the snow load on roofs according to EN1991-1-3#5.2(7)

Parameters:       

Topography

-

different topography: windswept, normal, sheltered

Returns: Ce

 

EN1991-1-3#5.2.8()

Thermal coefficient Ct used to account for the reduction of snow loads on roofs with high thermal transmittance (> 1 W/m2K) according to EN1991-1-3#5.2(8)

Parameters:       

none

Returns: Ct=1

 

EN1991-1-3#5.3(Roof, Alfa, Mu, H, B1, B2, MuMax, Sk)

Roof shape coefficient Mu according to EN1991-1-3#5.3

Parameters:       

Roof

-

roof type

Alfa

-

roof inclination angle [°]

Mu

-

snow load shape coefficient: Mu1 or Mu2

H

-

numerical value of vertical dimension [m]

B1

-

distance length [m]

B2

-

distance length [m]

MuMax

-

max(Mu1;Mu2)

Sk

-

characteristic snow load on the ground [kN/m2]

Returns: Mu

 

EN1991-1-3#D.1(V, Period)

Probability factor Cprob according to EN1991-1-3#D.1

Parameters:       

V

-

coefficient of variation of annual maximum snow load

Period

-

reference period [years]

Returns: Cprob

 

EN1991-1-4#4(Z, Category, Region, Vb0, C0)

Peak velocity pressure Qp according to EN1991-1-4#4

Parameters:       

Z

-

height above ground [m]

Category

-

terrain category

Region

-

whole Europe

Vb0

-

fundamental value of basic wind velocity [m/s]

C0

-

orography factor

Returns: Qp [kN/m2]

 

Combination value of peak velocity pressure Qp [kN/m2] according to EN1991-1-4#4:

Qp=Qp*Cprob

 

EN1991-1-4#4.1(Region)

Basic wind velocity Vb according EN1991-1-4#4.2(4.1)

Parameters:       

Region

-

terrain category

Returns: Vb [m/s]

 

EN1991-1-4#4.2(Period, Region, K, N)

Probability factor Cprob according to EN1991-1-4#4.2(4.2)

Parameters:       

Period

-

reference period [years]

Region

-

European climatic region

K

-

shape parameter depending on the coefficient of variation of the extreme-value distribution

N

-

exponent

Returns: Cprob

 

EN1991-1-4#4.3(Cr, C0, Vb)

Mean wind velocity Vm according to EN1991-1-4#4.3.1(4.3)

Parameters:       

Cr

-

roughness factor according to EN1991-1-4#4.3.2

C0

-

orography factor

Vb

-

basic wind velocity [m/s], defined as a function of wind direction and time of year at 10m above ground of terrain category 2

Returns: Vm [m/s]

 

EN1991-1-4#4.4(Cat, Z)

Roughness factor Cr accounting for the variability of the mean wind velocity at the side of the structure according to EN1991-1-4#4.3.2(4.4)

Parameters:       

Cat

-

terrain category (0-4)

Z

-

height above ground level [m]

Returns: Cr

 

EN1991-1-4#4.6(Category, Vb)

Standard deviation of the turbulence Sigmav according to EN1991-1-4#4.4(4.6)

Parameters:       

Category

-

terrain category

Vb

-

basic wind velocity [m/s], defined as a function of wind direction and time of year at 10m above ground of terrain category 2

Returns: Sigmav

 

EN1991-1-4#4.7(Cat, Z, Vm, Sigmav)

Wind turbulence intensity Iv according to EN1991-1-4#4.4(4.7)

Parameters:       

Cat

-

terrain category (0-4)

Z

-

height above ground level [m]

Vm

-

mean wind velocity [m/s]

Sigmav

-

standard deviation of the turbulence Sigmav according to EN1991-1-4#4.4

Returns: Iv

 

EN1991-1-4#4.8(Iv,Vm)

Peak velocity pressure Qp according to EN1991-1-4#4.5(4.8)

Parameters:       

Iv

-

wind turbulence intensity according to EN1991-1-4#4.4

Vm

-

mean wind velocity [m/s]

Returns: Qp

 

EN1991-1-4#5.3(Cs, Cd, Cf, Qp)

Wind force Fw acting on structure or structural component according to EN1991-1-4#5.3(5.3)

Parameters:       

Cs

-

size factor as reduction effect on the wind action due to non-simultaneity of occurrence of the peak wind pressures on the surface according to EN1991-1-4#6.3

Cd

-

dynamic factor as increasing effect from vibrations due to turbulence in resonance with the structure according to EN1991-1-4#6.3

Cf

-

force coefficient for structure or structural element according to EN1991-1-4#7 or EN1991-1-4#8

Qp

-

peak velocity pressure according to EN1991-1-4#4.5

Returns: Cprob

 

EN1991-1-4#6(B, h, h1, Delta, N1x, Category, Region, Vb0, C0)

Structural factor CsCd according to EN1991-1-4#6

Parameters:       

B

-

B² - background factor allowing for the lack of full correlation of the pressure on the structure surface, B=sqrt(B²)

h

-

structure height [m]

h1

-

height [m]

General shapes of structures covered by the design procedure. The structural dimensions and the reference height used are also shown:

Structural dimensions and reference height

Delta

-

logarithmic decrement of damping

N1x

-

fundamental frequency of along wind vibration [Hz]

Category

-

terrain category

Region

-

whole Europe

Vb0

-

fundamental value of basic wind velocity [m/s]

C0

-

orography factor

Returns: CsCd

 

EN1991-1-4#6.2(Iv, B)

Size factor Cs as reduction effect on the wind action due to non-simultaneity of occurrence of the peak wind pressures on the surface according to EN1991-1-4#6.3(6.2)

Parameters:       

Iv

-

wind turbulence intensity according to EN1991-1-4#4.4

B

-

B² - background factor allowing for the lack of full correlation of the pressure on the structure surface, B=sqrt(B²)

Returns: Cs

 

EN1991-1-4#6.3(Iv, B, R, Kp)

Dynamic factor Cd as increasing effect from vibrations due to turbulence in resonance with the structure according to EN1991-1-4#6.3(6.3)

Parameters:       

Iv

-

turbulence intensity according to EN1991-1-4#4.4

B

-

B² - background factor allowing for the lack of full correlation of the pressure on the structure surface, B=sqrt(B²)

R

-

R² - resonance response factor allowing for turbulence in resonance with the vibration mode, R=sqrt(R²)

Kp

-

peak factor defined as the ratio of the maximum value of the fluctuating part of the response to its standard deviation

Returns: Cd

 

EN1991-1-4#7.2(Roof, Zone, Direction, Param, First)

External pressure coefficient Cpe for buildings and parts of buildings according to EN1991-1-4#7.2

Parameters:       

Roof

-

roof type

Zone

-

wind zone

Direction

-

wind direction [°]

Param

-

roof inclination angle [°]

h/d - structure height and depth ratio

hp/h - parapets height and structure height ratio

r/h - eave edge radius and structure height ratio

First

-

for first=false - the pressure changes between two values, so both values are given

for first=true - is given single pressure value

Returns: Cpe

 

EN1991-1-4#7.2.9(Cpe, Openings, Over)

Internal pressure coefficient Cpi for buildings with dominant face according to EN1991-1-4#7.2.9

Parameters:       

Cpe

-

external pressure coefficient at the openings in the dominant face

Openings

-

0.0x - for buildings without a dominant face

2.0x - for buildings with a dominant face, when the area of the openings at the dominant face is twice the area of the openings in the remaining faces

3.0x - for buildings with a dominant face, when the area of the openings at the dominant face is at least 3 times the area of the openings in the remaining faces

Over

-

Overpressure: True/False

Returns: Cpi

 

EN1991-1-4#7.3(Roof, Zone, Blockage, Angle, Downwards, HD)

Net pressure coefficient Cpnet for canopy roofs according to EN1991-1-4#7.3

Parameters:       

Roof

-

canopy roof type

Zone

-

wind zone

Blockage

-

degree of blockage under a canopy roof:

maximum all phi

minimum phi=0 represents an empty canopy

minimum phi=1 represents the canopy fully blocked with contents to the down wind eaves only

Angle

-

roof inclination angle [°]

Downwards

-

acting downward wind

HD

-

ratio h1/d1, where h1 - canopy height [m], d1 - canopy dimension [m] along wind

Returns: Cpnet

 

EN1991-1-4#7.5(Surface)

Friction coefficient Cfr for walls and roof surfaces according to EN1991-1-4#7.5

Parameters:       

Surface

-

for smooth surface (i.e. steel, smooth concrete) Cfr=0.01

for rough surface (i.e. rough concrete, tar-boards) Crf=0.02

for very rough surface (i.e. ripples, ribs, folds) Cfr=0.04

Returns: Cfr

 

EN1991-1-4#B.1(Category, Z)

Turbulent length scale L representing the average gust size for natural winds according to EN1991-1-4#B.1(B.1)

Parameters:       

Category

-

terrain category

Z

-

height above ground level [m]

Returns: L [m]

 

EN1991-1-4#B.3(b, h, L)

Background factor B² allowing for the lack of full correlation of the pressure on the structure surface according to EN1991-1-4#B.2(B.3)

Parameters:       

b

-

structure width [m]

h

-

structure height [m]

L

-

turbulent length scale representing the average gust size for natural winds [m]

Returns: B²