User documentation

This calculation is presented in three layouts - Full, Standard and Brief

Dialogue

National annex selector

Combobox "National Annex" is used for selecting proper annex for calculation of the wind load.
Wind load requires selecion the national annex, because in Standard EN is many national decisions possible.
For explanation of the National annex parameters related to wind load select national annex from the list below.

BS National Annex

ČSN National Annex

DIN National Annex

ELOT National Annex

IS National Annex

LU National Annex

NBN National Annex

NEN National Annex

NF National Annex

ÖNORM National Annex

PN National Annex

SFS National Annex

SIST National Annex

SR National Annex

STN National Annex

General properties

General properties are similar to all wind load forms.
Checkbox "Print headline" represent official name for calculation. User can change it by uncheck "Print headline" and check "Print userdefined headline" and write his own headline into appropriate string line.

Wind parameters

This group of parameters depend on selected national annex.

BS National Annex

Wind azimuth in degrees is used in calculation of directional factor c_dir. Wind azimuth is from 0 ° to 360 ° from North in a clockwise direction.
Fundamental value of the basic wind velocity from the map v_b,map in metres per second. Map can be found in National annex page, Figure NA.1
Turbulence intensity from the diagram I_v(z)map. Diagram can be found in National annex page, Figure NA.5
Turbulence intensity factor from the diagram k_I,T. Diagram can be found in National annex page, Figure NA.6

CSN National Annex

Wind region is from I to V according map of the wind regions. Map can be found in National annex page.

DIN National Annex

Wind region is from WZ1 to WZ4 according map of the wind regions. Map can be found in National annex page.

ELOT National Annex

No special wind parameters are necessary for ELOT National annex.

IS National Annex

LU National Annex

No special wind parameters are necessary for LU National annex.

NBN National Annex

Wind region is from 1 to 4 according map of the wind regions. Map can be found in National annex page.
Wind azimuth in degrees is used in calculation of directional factor c_dir. Wind azimuth is from 0 ° to 360 ° from North in a clockwise direction.

NEN National Annex

Wind region is from I to III according map of the wind regions. Map can be found in National annex page.

NF National Annex

Wind region is from 1 to 4 according map of the wind regions. Map can be found in National annex page.
Direction zone is from 1 to 3 according map of the wind directions. Map can be found in National annex page.
Wind azimuth in degrees is used in calculation of directional factor c_dir. Wind azimuth is from 0 ° to 360 ° from North in a clockwise direction.

ONORM National Annex

According selected state in Austria can be selected the municipality which is the nearest to the construction site. Table of all possible municipalities can be found in National annex page.

PN National Annex

Wind region is from 1 to 3 according map of the wind regions. Map can be found in National annex page.
Wind azimuth in degrees is used in calculation of directional factor c_dir. Wind azimuth is from 0 ° to 360 ° from North in a clockwise direction.

SFS National Annex

Wind regions in SFS are defined as:
a) Mainland in the entire country
b) Sea areas: open sea, scattered islands out in the open sea
c) In Lappland: at the top of mountains
d) In Lappland: at the bottom of mountains

SIST National Annex

Wind region is from 1 to 3 according map of the wind regions. Map can be found in National annex page.

SR National Annex

Fundamental value of the basic wind velocity from the map in metres per second. Map can be found in National annex page.

STN National Annex

Wind region is from I to II according map of the wind regions. Map can be found in National annex page. For higher altitude, two more regions are availabile.

Terrain parameters

Standard values exist. Different parameters can be defined in National annex.

Standard values

Terrain category is standardly from 0 to IV. Different terrain categories can be defined in National annex page.
Checkbox "Calculate orographic factor" allows calculation of orographic factor. In National annex can be specified procedure to calculate orographic factor. Standard procedure is in Annex A.3.

BS and IS National Annexes

Three terrain categories are availabile in BS. Sea, Country and town. More informations about BS terrain categories can be found in National annex page.
Roughness factor c_r,diag is determined from the diagram Figure NA.3 Diagram can be found in National annex page.
Roughness correction factor c_r,T is determined from the diagram Figure NA.4 Diagram can be found in National annex page.
Exposure factor c_e,diag is determined from the diagram Figure NA.7 Diagram can be found in National annex page.
Exposure correction factor c_e,T is determined from the diagram Figure NA.8 Diagram can be found in National annex page.
Distance upwind to shoreline in km is used in the diagrams mentioned above.
Distance inside town terrain in km is used in the diagrams mentioned above.
Checkbox "Calculate orographic factor" is used, if orographic factor should be calculated according Annex A.3

Orographic factor - Recommended Annex A.3 input

Orographic terrain can be Cliffs and escarpments or Hills and ridges.
Horizontal distance of the site from the top of the crest in metres. Use positive value for downwind slope and negative value for upwind slope.
Effective height of the hill in metres.
Actual length of the upwind slope in the wind direction in metres.
Actual length of the downwind slope in the wind direction in metres.

Construction parameters

Construction parameters depend on selected National annex.
Reference height above terrain in metres is the most important parameter. It define in which height is calculated wind pressure. If is necessary to calculate wind pressure in more heights, repeat calculation with propper height z.
Checkbox "Temporary structure or execution phase" is used, if season construction is designed and season factor is necessary.
Checkbox "Use accurate informations about the obstructions height" is used, if average height of neighbluring structures is know in Terrain category IV.

Calculation

Basic values

Basic wind velocity is calculated as v_b = c_dir • c_season • v_b,0 in metres per second.
Fundamental value of the basic wind velocity v_b,0 is defined in selected National annex in metres per second.
Directional factor c_dir = 1.0 in standard. Different value can be defined in National annex page.
Season factor c_season = 1,0 in standard. Different value can be defined in National annex page.
Reference height above terrain in metres is the height in which is peak velocity pressure calculated. It is one of the most important values in the calculation.

Mean wind velocity

For DIN and ONORM are this and follows paragraphs unavailabile. Instead of it, there is block "Wind parameters" where is calculation of wind parameters according National annex.
Mean wind velocity in metres per second is calculated as v_m = c_r • c_O • v_b
Terrain roughness factor c_r depends on height above ground level and selected terrain category.

for z_min ≤ z ≤ z_max

for z ≤ z_min
where:
z₀ is the roughness length
k_r is terrain factor

where:
z_0,II = 0,05 (terrain category II, Table 4.1)
z_min is the minimum height defined in Table 4.1
z_max is to be taken as 200 m

Table 4.1 - Terrain categories and terrain parameters

Terrain category	z₀ [m]	z_min [m]
0 Sea or coastal area exposed to the open sea	0,003	1
I Lakes or flat and horizontal area with negligible vegetation and without obstacles	0,01	1
II Area with low vegetation such as grass and isolated obstacles (trees, buildings) with separations of at least 20 obstacle heights	0,05	2
III Area with regular cover of vegetation or buildings or with isolated obstacles with separations of maximum 20 obstacle heights (such as villages, suburban terrain, permanent forest)	0,3	5
IV Area in which at least 15 % of the surface is covered with buildings and their average height exceeds 15 m	1,0	10

Orography factor c_O = 1 in normal cases.
Where orography increases wind velocities by more than 5 % the effects should be taken into account using the orography factor. Recommended procedure is given in Annex A.3. Different procedure can be specified in National annex.

Orographic factor - Recommended procedure according Annex A.3

1) Calculation of the upstream slope

2) Decision if the calculation of orography factor is necessary
The effects of orography should be taken into account in the following situations:
a) For sites on upwind slopes of hills and ridges:
- where 0,05 < Φ ≤ 0,3 and |x| ≤ L_u / 2
b) For sites on downwind slopes of hills and ridges:
- where Φ < 0,3 and x < L_d / 2
- where Φ ≥ 0,3 and x < 1,6 • H
c) For sites on upwind slopes of cliffs and escarpments:
- where 0,05 < Φ ≤ 0,3 and |x| ≤ L_u / 2
d) For sites on downwind slopes of cliffs and escarpments:
- where Φ < 0,3 and x < 1,5 • L_e
- where Φ ≥ 0,3 and x < 5 • H

3) Orography factor is than defined by:

Orographic factor	Limits
c_O = 1	Φ < 0,05
c_O = 1 + 2 • s • Φ	0,05 < Φ < 0,3
c_O = 1 + 0,6 • s	Φ > 0,3

where:
s is the orographic location factor
Φ is the upwind slope H/L_u in the wind direction
L_e is the effective length of the upwind slope
L_u is the actual length of the upwind slope in the wind direction
L_d is the actual length of the downwind slope in the wind direction
H is the effective height of the feature
x is the horizontal distance of the site from the top of the crest
z is the vertical distance from the ground level of the site

Values of the effective length L_e

Type of slope (Φ = H/L_u)
Shallow (0,05 < Φ < 0,3)	Steep (Φ > 0,3)
L_e = L_u	L_e = H/0,3

Orographic location factor s for cliffs and escarpments

Orographic location factor s for hills and ridges

a) upwind section for all orography
For the ranges

take

where

when

take
s = 0
b) downwind section for cliffs and escarpments
For the ranges

take

where

For the range

interpolate between values for

when

use the values for

when

take
s = 0
c) downwind section for hills and ridges
For the ranges

take

where

when

take
s = 0

Displacement height - Recommended procedure according Annex A.5

For building in Terrain category IV, can be reference height of building on the upwind side lowered by displacement height h_dis due to closely spaced buildings and other obstructions.

h_dis = min(0,8 • h_ave; 0,6 • h) for x ≤ 2 • h_ave
h_dis = min(1,2 • h_ave - 0,2 • x; 0,6 • h) for 2 • h_ave ≤ x ≤ 6 • h_ave
h_dis = 0 for x ≥ 6 • h_ave

Peak velocity pressure

Function for calculation peak velocity pressure at height z can be defined in National annex. Recommended formula is:

where:
ρ is the air density, which depends on the altitude, temperature and barometric pressure. ρ can be defined in National annex, recommended value is 1,25 kg/m³.
v_m is mean wind velocity
I_v is turbulence intensity. It can be defined in National annex. Recommended formula is:

for z_min ≤ z ≤ z_max
I_v = I_v(z_min) for z ≤ z_min
k_I is turbulence factor. It may be defined in National annex. Recommended value is 1,0

Explanation of symbols

A - Construction site altitude above sea level [m]
A_E1 - Altitude above sea level in east direction in 500 m from the site [m]
A_E2 - Altitude above sea level in east direction in 1000 m from the site [m]
A_N1 - Altitude above sea level in north direction in 500 m from the site [m]
A_N2 - Altitude above sea level in north direction in 1000 m from the site [m]
A_O1 - Altitude above sea level in west direction in 500 m from the site [m]
A_O2 - Altitude above sea level in west direction in 1000 m from the site [m]
A_S1 - Altitude above sea level in south direction in 500 m from the site [m]
A_S2 - Altitude above sea level in south direction in 1000 m from the site [m]
c_dir - Directional factor
c_e,diag - Exposure factor from the diagram
c_e,T - Exposure correction factor from the diagram
c_O - Orography factor
c_r,diag - Roughness factor from the diagram
c_r,T - Roughness correction factor from the diagram
c_r - Roughness factor
c_season - Season factor
Dir - Wind azimuth [°]
DisShore - Distance upwind to shoreline [km]
DisTown - Distance inside town terrain [km]
h - Height of the construction [m]
H - Effective height of the hill [m]
h_ave - Average height of buildings in the city [m]
h_dis - Height in the distance in terrain category IV [m]
I_v(z)flat - Turbulence intensity from the diagram
I_v - Turbulence intensity
k_I,T - Turbulence intensity factor from the diagram
L_d - Actual length of the downwind slope in the wind direction [m]
L_u - Actual length of the upwind slope in the wind direction [m]
q_b,0 - Fundamental value of basic wind pressure [kN/m²]
q_b - Basic wind pressure [kN/m²]
q_p - Peak velocity pressure [kN/m²]
T - The absolute air temperature at the load condition [K]
v_b,0,CHMI - Fundamental value of the basic wind velocity according CHMI [m/s]
v_b,0 - Fundamental value of the basic wind velocity [m/s]
v_b,map - Fundamental value of the basic wind velocity from the map [m/s]
v_b - Basic wind velocity [m/s]
v_m - Mean wind velocity [m/s]
v_p - Gust wind velocity [m/s]
x - Horizontal distance of the site from the top of the crest [m]
xDis - Site distance from the other building [m]
z - Reference height above terrain [m]
z₀ - Roughness length [m]
z_min - Minimum height [m]
ρ - Air density [kg/m³]