Australian Standard
SAA Loading Code
Part 2: Wind loads
was approved on behalf of the Council of Standards Australia on 19 December 1988 and published on 20 March 1989.
The following interests are represented on Committee BD/6: Association of Consulting Engineers, Australia
Association of Consulting Structural Engineers, Australia Australian Clay Brick Association
Australian Construction Services (Department of Administrative Services) Australian Council of Local Government Associations
Australian Federation of Construction Contractors Australian Institute of Steel Construction
Australian Mining Industry Council Building Management Authority, W.A. Bureau of Meteorology
Bureau of Steel Manufacturers of Australia
CSIRO, Division of Building, Construction and Engineering Department of Local Government, Qld
Electricity Supply Association of Australia Engineering and Water Supply Department, S.A. James Cook University of North Queensland
Master Builders’ Construction & Housing Association, Australia Monash University
National Association of Australian State Road Authorities Public Works Department, N.S.W.
University of Melbourne University of Newcastle
Additional interests participating in preparation of Standard: Road Construction Authority
University of Sydney
University of Western Australia
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Australian Standard
Minimum design loads on
structures (known as the SAA
Loading Code)
Part 2: Wind loads
First published as part of SAA Int. 350—1952. Revised and redesignated AS CA 34.2—1971. Revised and redesignated AS 1170.2 — 1973. Second edition 1975. Third edition 1981. Fourth edition 1983. Fifth edition 1989. Incorporating: Amdt 1 — 1991 Amdt 2 — 1993 Amdt 3 — 1993
PUBLISHED BY STANDARDS AUSTRALIA (STANDARDS ASSOCIATION OF AUSTRALIA) 1 THE CRESCENT, HOMEBUSH, NSW 2140
PREFACE
This Standard was prepared by the Standards Australia Committee for Loading on Structures to supersede AS 1170 — 1983, Minimum design loads on structures, Part 2 — Wind forces. This Standard is intended to be used for the determination of the minimum wind loads in structural design, and is in a limit states format.
It provides a simplified procedure (Section 2) for the determination of wind loads on a limited range of small buildings and structures, and a detailed procedure (Sections 3 and 4) for determination of wind loads on a wide range of structures, varying from those less sensitive to wind action, to those for which dynamic response must be taken into consideration. It permits wind tunnel tests or similar determinations of wind loads on structures.
Explanatory material for this Standard are given in Appendices C to F, which correspond to Sections 1 to 4.
The Standards Australia Committee has considered exhaustive research and testing information from Australian and overseas sources in the preparation of this Standard with a view to reducing the design wind loads by the maximum extent consistent with safety. The design wind loads prescribed in this Standard are the minimum for the general cases. These will be circumstances arising in particular cases, which will result in additional loads requiring to be taken note of in the design of structures in those cases. Designers must be alert to the conditions to which their particular structure is exposed and must take note of all the provisions in clauses and notes under the clauses.
This Standard differs from the previous Standard as follows:
(a) Windspeeds are specified for the serviceability and ultimate strength/stability limit states, and for permissible stress design.
(b) Return periods and windspeed contours (isopleths) have been deleted.
(c) Regional boundaries have been included (boundaries of the tropical cyclone regions are slightly modified).
(d) Direct shielding allowance is separately identified and extended.
(e) A more rational system of multipliers for wind speed and external pressures is provided. (f) Methods of calculating wind loads on cantilevered roofs, attached canopies, awnings, carports, circular cross-sections, such as bins, silos and tanks, and lattice towers have been added. Existing data on pressure and force coefficients have been revised in the light of recent research.
(g) Dynamic analysis has been expanded (replaces Annex: ‘Notes on Wind Forces on Tall Buildings’ in the previous edition).
(h) References to other publications are listed numerically at the end of this document. (i) Statements expressed in mandatory terms in Notes to tables and figures are deemed to
be requirements of this Standard.
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CONTENTS
Page
SECTION 1. SCOPE AND APPLICATION
1.1 SCOPE . . . 4
1.2 APPLICATION . . . 4
1.3 DESIGN PROCEDURES—SIMPLIFIED OR DETAILED . . . 4
1.4 DESIGN REQUIREMENTS . . . 4
1.5 DETERMINATION OF WIND LOADS . . . 4
1.6 DEFINITIONS . . . 5
1.7 NOTATION . . . 6
SECTION 2. SIMPLIFIED PROCEDURE 2.1 INTRODUCTION . . . 9 2.2 LIMITATION . . . 9 2.3 PROCEDURE . . . 10 2.4 BASIC PRESSURES (p′) . . . 10 2.5 MULTIPLYING FACTORS . . . 13 2.6 FATIGUE LOADING . . . 17
2.7 SERVICEABILITY DESIGN LOADS . . . 17
2.8 FARM BUILDINGS AND TEMPORARY STRUCTURES . . . 17
SECTION 3. DETAILED PROCEDURE: STATIC ANALYSIS 3.1 LIMITATION . . . 18
3.2 GUST WIND SPEED . . . 18
3.3 DYNAMIC WIND PRESSURE (qz) . . . 23
3.4 FORCES (F) AND PRESSURES (pz) ON ENCLOSED BUILDINGS, FREE ROOFS AND WALLS . . . 23
3.5 FORCES ON EXPOSED STRUCTURAL MEMBERS . . . 33
3.6 FATIGUE LOADING . . . 35
SECTION 4. DETAILED PROCEDURE: DYNAMIC ANALYSIS 4.1 APPLICATION . . . 36
4.2 HOURLY MEAN WIND SPEED . . . 36
4.3 DYNAMIC WIND PRESSURE (qz) . . . 42
4.4 PROCEDURE AND DERIVATION . . . 42
APPENDICES A ADDITIONAL PRESSURE COEFFICIENTS . . . 48
B SECTIONAL DRAG FORCE AND FORCE COEFFICIENTS AND ASPECT RATIO CORRECTION FACTORS . . . 53
C EXPLANATORY MATERIAL TO SECTION 1 . . . 59
D EXPLANATORY MATERIAL TO SECTION 2 . . . 61
E EXPLANATORY MATERIAL TO SECTION 3 . . . 62
F EXPLANATORY MATERIAL TO SECTION 4 . . . 77
REFERENCES . . . 90
STANDARDS AUSTRALIA
Australian Standard
Minimum design loads on structures
Part 2: Wind loads
SECTION 1. SCOPE AND APPLICATION 1.1 SCOPE. This Standard sets out procedures for
determining design wind speeds and wind loads to be used in structural design of all buildings and components of buildings, bridges (minimum design wind speed only), and other structures subjected to wind.
For bridges, the design wind loads shall be determined in accordance with the AUSTROADS Bridge Design Code.
Major offshore structures remote from the coast and transmission lines are not covered, nor are the effects of tornadoes which are special-event winds.
The design wind loads for structures containing high risk contaminants, such as some nuclear or biological materials is considered outside the scope of this Standard.
This Standard does not attempt to account for possible future climatic changes.
1.2 APPLICATION. This Standard applies to
structures, other than bridges, designed to Australian Standards using both limit state and permissible stress design rules.
1.3 DESIGN PROCEDURES — SIMPLIFIED OR DETAILED.
1.3.1 Simplified procedure. For the determination
of wind loads on a limited range of small buildings and structures, including domestic buildings, a simplified procedure is given in Section 2 with limitations given in Clause 2.2. Simplified and detailed procedures shall not be mixed.
(See Paragraph C1.3.1 of Appendix C.)
1.3.2 Detailed procedure — static and dynamic
analysis. For the determination of wind loads on a
wide range of structures, detailed procedures are given in Section 3 (Static analysis) and Section 4 (Dynamic analysis). These structures vary from those less sensitive to wind action to those in which dynamic response must be taken into consideration.
The dynamic analysis shall be undertaken for the calculation of overall forces for any structure with both a height-(or length)-to-breadth ratio greater than five and the first mode frequency is less than 1 Hz.
(See Paragraph C1.3.2 of Appendix C.)
1.4 DESIGN REQUIREMENTS.
1.4.1 General. Wind loads associated with any limit
state or permissible stress design requirement, which is relevant to the safe and proper functioning of the
structure or its components, shall be determined from the appropriate clauses in this Standard.
1.4.2 Stability limit state. Wind loads acting alone
or in combination with other loads, which cause failure or overturning of the structure as a whole, uplift or sliding, shall be calculated using ultimate limit states design wind speeds (Vu).
1.4.3 Strength limit state. Wind loads acting on a
structure and its components, which are required to be withstood without failure during the life of the structure, shall be calculated using ultimate limit states design wind speeds (Vu).
1.4.4 Ultimate limit states. For the purpose of this
Standard, stability and strength limit states are together called ultimate limit states.
1.4.5 Serviceability limit state. Serviceability limit
state wind speeds (Vs) are given to calculate wind
loads acting on a structure and its components for serviceability limit states, such as excessive deflection, cracking and vibration.
1.4.6 Permissible stress design procedure. Where
an Australian Standard has adopted a permissible stress design procedure, the wind loads acting on a structure or its components shall be calculated using permissible stress design wind speeds (Vp).
(See Paragraph C1.4 of Appendix C.)
1.5 DETERMINATION OF WIND LOADS.
1.5.1 Methods of determination of wind loads.
Wind loads on a structure or part of a structure shall be determined by one or more of the following: (a) The applicable clauses of this Standard.
(b) Reliable references used consistently with the clauses of this Standard.
(c) Reliable data on wind speed and direction. The use of uncorrected anemometer data is not permitted.
(d) As an alternative to the methods outlined in Clauses 3.2.3 and 4.2.3, the use of a detailed probability analysis for the effects of wind direction is allowed.
(e) Wind tunnel or similar tests carried out for a specific structure or reference to such tests on a similar structure (see Clauses 1.5.2. and 1.5.3), together with applicable clauses of this Standard. (See Paragraph C1.5.1 of Appendix C.)
1.5.2 Wind tunnel tests or similar determinations.
For the purposes of determining forces and pressures, wind tunnel tests or similar tests employing a fluid other than air, shall be considered properly conducted only if the natural wind has been modelled for the appropriate terrain categories to take account of — (a) the variation of wind speed with height; and (b) the scale and intensity of the longitudinal
component of turbulence. Notice shall be taken of —
(i) the effects of Reynolds number where curved shapes are involved;
(ii) the appropriate frequency response of force and pressure measuring systems; and
(iii) scaling of mass, length, stiffness, and damping, where measurements of dynamic response are involved.
(See Paragraph C1.5.2 of Appendix C.)
1.5.3 Wind tunnel tests on a specific structure.
Where properly conducted wind tunnel tests on a specific structure have been carried out, or when reference to such tests on a similar structure is used, the loads thus determined shall be used instead of those determined through the provisions of this Standard.
1.6 DEFINITIONS. For the purpose of this
Standard, the definitions below apply.
Awnings — a roof-like structure, usually of limited
extent, projecting from a wall of a building.
Canopy — a roof adjacent to or attached to a
building, generally not enclosed by walls.
Cladding — the material which forms the external
surface over the framing of an element of a building or structure.
Dominant opening — an opening in the external
surface of an enclosed building which directly influences the average internal pressure in response to external pressures at that particular opening. Dominant openings need not be large.
Drag — a force acting in the direction of the
windstream.
Enclosed buildings — buildings which have full
perimeter walls (nominally sealed) from floor to roof level.
Escarpment — a long (steeply sloping) face between
nominally level lower and upper plains with average slopes of not greater than 5%.
Force coefficient — a coefficient which when
multiplied by the incident wind pressure and an appropriate area (defined in the text), gives the force in a specific direction.
Free roof — a roof (of any type) with no enclosing
walls underneath, e.g. freestanding carport.
Freestanding walls — walls which are exposed to
the wind on both sides, with no roof attached, e.g. fences.
Freestream dynamic pressure — the theoretically
computed incident pressure of a uniform air stream of known density q = 0.0006 x V2
(at ambient temperature and barometric pressure).
Gable roof — a ridged roof with end walls triangular
from lowest points up to the ridge.
Hip roof — a traditional roof with sloping ridges
rising up from external corners (valleys rise up from any return corners).
Hoardings — free standing (rectangular) signboards,
etc, supported clear of the ground.
Immediate supports (cladding) — those supporting
members to which cladding is directly fixed (e.g. battens, purlins, girts, studs).
Lattice towers — three-dimensional frameworks
comprising three or more linear boundary members interconnected by linear bracing members joined at common points (nodes), enclosing an open area through which the wind may pass.
Lift — a force acting at 90° to the windstream.
Major offshore structures — major navigation
structures, drilling platforms and major structures on small islands, reefs or shoals.
Monoslope roof — a planar roof with no ridge,
which has a constant slope.
Obstructions — natural or man-made objects which
generate turbulent windflow, ranging from single trees to forests and from isolated small structures to closely spaced multi-storey buildings.
Permeability — an aggregation of small openings
and cracks etc, which allows air to pass through walls or roofs etc, under the action of a pressure differential.
Pitched roof — a bi-fold, bi-planar roof with a ridge
at its highest point.
Porosity (of cladding) — the ratio of the area of
openings divided by the total surface area.
Pressure — air pressure in excess of ambient.
Negative values are less than ambient, positive values exceed ambient. Net pressures act normal to a surface in the direction specified within the text.
Pressure coefficient — the ratio of the average
pressure acting at the point on a surface, to the freestream pressure of the incident wind.
Reliable data (wind speeds and directions) — it is
the professional responsibility of the user to assess data other than that presented within this Standard.
Reliable references (wind pressures and loads) —
reference material or other material judged to be reliable by the professional user.
Ridge (topographic feature) — a long crest or chain
of hills which have a nearly linear apex, with sloping faces on either side of the crest.
Roughness length — a theoretical quantification of
the (wind) turbulence inducing nature of a particular type of terrain.
Sufficient (meteorological information) — the
assessment of an appropriately qualified and experienced professional.
Terrain — the surface roughness condition when
considering the size and arrangement of obstructions to the wind.
Topography — major land surface features
comprising hills, valleys and plains which strongly influence wind flow patterns.
Tornado — a violently rotating column of air,
pendant from the base of a convective cloud, and often observable as a funnel cloud attached to the cloud base.
Tributary area — the area of building surface
contributing to the force being considered.
Tropical cyclone — an intense low-pressure centre
accompanied by heavy rain and gale-force winds or greater. It forms over warm tropical oceans and decays rapidly over land. In the southern hemisphere, winds spiral clockwise into the centre.
Troughed roof — a bi-fold, bi-planar roof with a
valley at its lowest point.
1.7 NOTATION. Unless a contrary intention is
stated, the notation used in this Standard shall have the following meanings with respect to a structure, or member, or condition to which a Clause is applied. The SI system of units is used throughout.
A = the surface area of the element or the tributary area which transmits wind forces to the element
Ar = the gross plan area of the roof including
eaves, canopies, awnings etc
Az = the area of a structure or a part of a
structure, at height z, upon which the design wind pressure (pz) operates, being —
(a) when used in conjunction with the pressure coefficient (Cp), the area upon
which the pressure acts, which may not always be normal to the windstream; (b) when used in conjunction with a drag
force coefficient (Cd), the projected area
normal to the windstream; and
(c) when used in conjunction with a force coefficient, (CF,x) or (CF,y), the areas as
defined in applicable clauses.
a = the dimension used in defining the extent of application of local pressure factors
B = a background factor, which is a measure of the slowly varying background component of the fluctuating response caused by the lower frequency wind speed variations
B1 = a regional multiplying factor
B2 = a terrain and height multiplying factor
B3 = a topographic multiplying factor
B4 = an area reduction factor for roofs
b = the horizontal breadth of a vertical structure normal to the windstream; or the average breadth of a vertically tapered structure over the top half of the structure; or the nominal average breadth of a horizontal structure; or the average diameter of a circular section
bs = the average breadth of shielding buildings,
normal to the windstream.
Cd = the drag force coefficient for a structure or
member in the direction of the windstream
= Fd
Azqz
CF,x = the force coefficient for a structure or
member, in the direction of the member’s
x-axis
= Fx
Azqz
CF,y = the force coefficient for a structure or
member, in the direction of the member’s
y-axis
= Fy
Azqz
Cf = a frictional drag force coefficient
Cfs = the cross-wind force spectrum coefficient
generalized for a linear mode
Cp = a pressure coefficient
Cp,c = a pressure coefficient for the windward edge
of a roof supported by a cantilevered beam
Cp,e = an external pressure coefficient
Cp,i = an internal pressure coefficient
Cp,l = a net pressure coefficient for the leeward
half of a free roof
Cp,n = a net pressure coefficient for canopies, free
standing roofs, walls, etc
Cp,w= a net pressure coefficient for the windward
half of a free roof
Cp1 = an external pressure coefficient for a bin,
silo or tank of unit aspect ratio
c = the net height of a hoarding, bin, silo or tank
D = a building spacing parameter
d = the minimum roof plan dimension or, the depth or distance to which the plan or cross-section of a structure or shape extends parallel to the wind stream
da = the along-wind depth of a porous wall or
roof surface
E = a spectrum of turbulence in the approach windstream; or the modulus of elasticity
e = the base of Napierian logarithms (≈ 2.71828)
F = the wind force acting normal to the surface of a building element
Fd = the drag force acting parallel to the wind
stream
= the hourly mean drag force acting parallel to
Fd
the windstream
Ff = the resultant frictional force acting parallel
to the windstream
Fx = the wind force component resolved along
the x-axis of a body
Fy = the wind force component resolved along
the y-axis of a body
= the hourly mean net horizontal force acting
Fz
on a building or structure at height z
f = a friction stress
G = a gust factor
gf = a peak factor (fluctuating response)
gv = a peak factor for the upwind velocity
fluctuation
H = the height of a hill, ridge or escarpment
h = the height of a structure above ground
hc = the height from ground to the attached
canopy, etc
he = the eaves height of building
hi = the developed height of the inner layer,
which is equal to z for the calculation of xi
hs = the average height of shielding buildings
ht = the height to the top of a structure above
ground
I = the second moment of area
Ka = an area reduction factor
Kar = an aspect ratio correction factor for
individual member forces
Ki = a factor to account for the angle of
inclination of the axis of members to the wind direction
Kl = a local pressure factor
Kp = a reduction factor for porous cladding
Ksh = a shielding factor for multiple open frames
Kt = a type factor for topography
k = a mode shape power exponent
kc = a multiplier for Cp,e(on circular tanks, bins
and silos)
Lh = a measure of the effective turbulence length
scale
Lu = the horizontal distance upwind from the
crest of a hill, ridge or escarpment to a level half the height below the crest
L*
= the effective horizontal length of the upwind slope of a hill, ridge or escarpment
l = the length of a frame member; or the length of a cantilevered roof beam
ls = the average spacing of shielding buildings
Ma = the along-wind base overturning moment
Ma = the mean base overturning moment for a
structure in the along-wind direction
M^a = the design peak base overturning moment
for a structure in the along-wind direction
Mc = the cross-wind base overturning moment
Mc = the mean base overturning moment for a
structure in the cross-wind direction
M^c = the design peak base overturning moment
for a structure in the cross-wind direction
Mi = a structure importance multiplier
Mo = the upstream terrain category gust wind
speed multiplier at the beginning of each new terrain inner layer for height z
Mo = the upstream terrain category hourly mean
wind speed multiplier at the beginning of each new terrain inner layer for height z
MR = the resultant vector base overturning
moment
M^R = the peak resultant vector base
overturning moment
Ms = a shielding multiplier for both gust and
hourly mean wind speeds
Mt = a topographic multiplier for gust wind
speeds
Mt = a topographic multiplier for hourly mean
wind speeds
Mx = the gust wind speed multiplier at a
distance x from the start of new terrain category for height z
Mx = the hourly mean wind speed multiplier
at a distance x from the start of the new terrain category for height z
M(z,cat) = a gust wind speed multiplier for a
terrain category at height z (for upwind distance of at least (2500 + xi) m)
M(z,cat) = an hourly mean wind speed multiplier
for a terrain category at height z (for upwind distance of at least (1500 +
xi) m)
Mα = a component of the base overturning
moment acting in the αdirection
m = the mass per unit length
mo = the average mass per unit height of a
structure
N = an effective reduced frequency
n = the number of spans of a multi-span roof; or the first mode frequency of a structure
na = the first mode frequency of a structure
in along-wind direction
nc = the first mode frequency of a structure
in cross-wind direction
ns = the number of upwind shielding
buildings within a 45° sector of radius 20ht
pc = the maximum design wind pressure at
the leading edge of a roof supported by a cantilevered beam
pd = the ultimate limit state design wind
pressure
pe = the external wind pressure
pi = the internal wind pressure
pn = the net wind pressure
pz = the design wind pressure at height z
p′ = the net basic wind pressure
qh = the free stream gust dynamic wind
pressure at the top of a structure
qh = the free stream hourly mean dynamic
wind pressure at height h
qz = the free stream gust dynamic wind
pressure resulting from Vz
qz = the free stream hourly mean dynamic
wind pressure resulting from Vz
R = the return period
r = the corner radius of a structural shape, or a roughness factor, or the rise of a curved roof
S = a size factor
Sr = the Strouhal number
s = a position factor for topographic effects
u*
= the friction velocity
V = the basic wind speed
V = the hourly mean wind speed
Vcrit = the critical wind speed, for ‘Lock-in’
Vh = the design gust wind speed at height h
Vh = the design hourly mean wind speed at
height h
Vp = the basic wind speed for permissible
stress methods
Vs = the basic wind speed for serviceability
limit state
Vu = the basic wind speed for ultimate
strength limit state
Vz = the design gust wind speed at height z
Vz = the design hourly mean wind speed at
height z
w = a factor to account for the second order effects of turbulence intensity
wc = the width of canopy, etc, from the face
of the building
x = the distance downwind from a change in terrain category to the structure under consideration; or the horizontal distance from a structure to the crest of a hill or a ridge
x = the mean value of random variables
x^ = the peak value of random variables
xi = the distance downstream from the start
of the new terrain roughness to the developed height of the inner layer (hi)
ÿ^ = the peak acceleration at the top of a structure in cross-wind direction
z = the distance or height above the ground; or the effective height of an escarpment
zg = the gradient height, at which terrain
influence ceases
zo = a characteristic terrain roughness length
z1, z2 = the effective heights of a hill, on each
side of it
zo,r = the larger of the two roughness lengths,
at the change in terrain
α = the angle of slope of a roof; or the direction of a resultant vector base overturning moment with respect to the along-wind direction
αmax = the angle to the along-wind direction of
the plane of the maximum resultant vector base overturning moment β = the fractional porosity of a wall; or the
angle from the wind direction to a point on the wall of a circular bin, silo or tank δ = the actual solidity ratio for an open
frame
δe = the effective solidity ratio for an open
frame
εa = a structural load effect derived from the
mean along-wind dynamic response = a structural load effect derived from the εc
mean cross-wind dynamic response ε
^
c = a structural load effect derived from thepeak cross-wind response, and proportional to the peak cross-wind base overturning moment M^c
ε
^
t = the total combined peak load scalareffect
ζ = a fraction of the critical damping capacity of a structure
η = a multiplier, used to calculate σv
=
θ = the angle of deviation of the wind stream from the axis of a structural section
λ = a spacing ratio for open frames υ = the kinematic viscosity
ρ = the atmospheric density
σv = the standard deviation of a wind gust
component
σv/Vz = the turbulence intensity in the approach
flow at height z
σx = the standard deviation of a set of values
of variable ‘x’
τo = the surface friction shear stress
φ = the upwind slope of a hill, ridge or escarpment or the angle between the windstream and the plane of a structural member
φd = the average downwind slope measured
from the crest of a hill, ridge or escarpment to the ground level at a distance of 5H
φ′ = the lesser value of φor 0.3 ψ(z) = a mode shape
SECTION 2. SIMPLIFIED PROCEDURE
2.1 INTRODUCTION. This Section sets out a
simplified procedure for the determination of wind loads on a limited range of small buildings and structures, which satisfy the limitations set out in Clause 2.2.
This Section must not be used in conjunction with other sections of this Standard except where specific reference to other sections is made (see Clause 1.3.1). The loads specified in this Section are ultimate strength limit state design wind loads.
If loads are required for permissible stress design, the ultimate strength loads given in this Section shall be divided by 1.5.
If loads are required for serviceability limit state design, the ultimate strength loads specified in this Section shall be multiplied by the serviceability multiplying factors given in Table 2.7.
(See Paragraph D2.1 of Appendix D.)
2.2 LIMITATION. The simplified procedure shall
only be applied to the determination of wind loads on buildings, their attachments, and miscellaneous structures which satisfy all of the relevant following conditions:
(a) The overall height does not exceed 15.0 m.
(b) The buildings are rectangular in plan, or a combination of rectangular units.
(c) The roof pitch of buildings does not exceed 30°. (d) The ratio of the height (ht) to the minimum roof
plan dimension (d) is less than five for enclosed buildings, and less than one for free standing roofs.
(e) The gross roof plan area of buildings does not exceed 1000 m2
.
(f) The consequences of failure of the building in social and economic terms is not high relative to that normally associated with small buildings. Structures that have special post-disaster functions, e.g. hospitals and communications buildings, shall not be designed using this Section.
The minimum roof plan dimension of a building is the minimum width of the roof in plan (see Figure 2.2(A)).
The height (ht) is the height from the lowest point at
ground level to the highest point of the structure (see Figure 2.2(B)).
The gross roof plan area of buildings is the total area of the roof in plan, including any attached canopies, awnings, carports, etc.
2.3 PROCEDURE.
2.3.1 General. The ultimate limit state design wind
pressures (pd) shall be obtained by multiplying the net
basic wind pressures (p′) given in Clause 2.4 by the appropriate multiplying factors given in Clause 2.5, using Equation 2.3.1.
pd = p′B1B2B3B4 . . . (2.3.1)
where
pd = the ultimate limit state design wind
pressure, in kilopascals
p′ = the net basic wind pressure, in kilopascals
B1 = a regional multiplying factor (see
Table 2.5.1)
B2 = a terrain and height multiplying factor
(see Table 2.5.2)
B3 = a topographic multiplying factor (see
Table 2.5.3)
B4 = an area reduction factor for external
pressures on roofs (see Table 2.5.4). The net basic wind pressure (p′ ) shall be the worst case of combined internal and external basic pressures, or windward and leeward basic wall pressures, as appropriate. In combining external and internal basic pressures, the worst combination of the basic pressures prescribed within the limits given in this Section shall be used. Where only one limit of basic pressure is given, it shall be assumed that the other limit is zero.
2.3.2 Forces (F) on elements of buildings. The
wind force (F) due to wind pressure acting on an element of a structure shall be calculated from Equation 2.3.2.
F = pdA . . . (2.3.2)
where
F = the wind force acting normal to the surface of a building element
pd = the ultimate limit state design wind
pressure, in kilopascals
A = the surface area of the element or the tributary area which transmits wind forces to the element, in square metres. Resultant forces on complete buildings shall be computed from the summation of forces acting normal to all the individual surfaces of the building.
2.4 BASIC PRESSURES.
2.4.1 External pressures on rectangular buildings. 2.4.1.1 General. The basic external pressures on buildings are a function of the location of the building, the direction of the wind relative to the orientation of the building, and the geometry of the building.
The geometry of the building is defined in terms of the windward roof slope in the direction of the wind and the following factors:
(a) ht = the height of the building, as described in
Clause 2.2.
(b) d = the minimum roof plan dimension in the direction of the wind (see Figure 2.4.1.1).
2.4.1.2 Windward sections of roofs. For the
windward sections of roofs the basic pressures given in Table 2.4.1.2 shall be used.
TABLE 2.4.1.2
EXTERNAL BASIC PRESSURES FOR WINDWARD SECTIONS OF ROOFS Windward
roof slope (α) degrees
Basic pressure, kPa
max.neg. max.pos. max.neg. max. pos.
≤10 15 20 25 30 -0.95 -0.75 -0.45 -0.35 -0.25 0 0 0.25 0.35 0.35 -1.4 -1.1 -0.75 -0.55 -0.35 0 0 0 0 0.25
NOTE: For intermediate values of α and ht/d, linear
interpolation is permitted.
The windward section of the roof is the windward half of the roof, or the section windward of the highest horizontal ridge at right angles to the wind direction where such ridges are present.
Where the windward roof slope varies, the basic pressures used in the design vary according to the roof slope in the direction of the wind, otherwise the minimum roof slope in the direction of the wind on the windward section of the roof shall be used for negative pressures, and the maximum roof pitch shall be used for positive pressures.
The basic pressures given in Table 2.4.1.2 shall be assumed to act over the whole of enclosed monoslope roofs, and over all of the area of roofs having slopes in the direction of the wind which are nominally zero.
2.4.1.3 Leeward sections of roofs. For the leeward
sections of roofs the basic pressures given in Table 2.4.1.3 shall be used.
TABLE 2.4.1.3
EXTERNAL BASIC PRESSURES FOR LEEWARD SECTIONS OF ROOFS Leeward roof slope (α)
degrees
Basic pressure, kPa
≤15 ≥20 -0.55 -0.65 -0.75 -0.65
NOTE: For intermediate values of α and ht/d, linear
interpolation is permitted.
2.4.1.4 Walls and undersides of eaves. For walls and
undersides of eaves, the basic pressures given in Table 2.4.1.4 shall be used.
TABLE 2.4.1.4
EXTERNAL BASIC PRESSURES FOR WALLS AND UNDERSIDES OF EAVES
Location Basic pressure, kPa
Windward: (a) normal building (b) highset building Leeward Side 0.75 0.85 -0.55 -0.7
NOTE: α ≤30°; ht≤15 m.
NOTE: For wind blowing end-on to a gable roof, the windward roof slope shall be taken as zero.
A highset building is an elevated building with a clear, unwalled space underneath the first floor level, with a height from ground to underside of floor of at least one third of the total height of the building. For the design of unenclosed eaves, the use of net basic pressures obtained from Clauses 2.4.3.2 and 2.4.3.3 is permitted.
2.4.1.5 Local negative external pressures. Cladding
and its immediate supports within 0.2√Ar of edges,
corners, ridges, etc, shall also be designed for the external local basic pressures given in Table 2.4.1.5, where Aris the gross plan area of the roof including
attached canopies, awnings, etc.
TABLE 2.4.1.5
BASIC LOCAL NEGATIVE EXTERNAL PRESSURES FOR CLADDING AND ITS
IMMEDIATE SUPPORTS Location Tributary area (A)
m2
Basic pressure, kPa
Roof <0.01Ar ≥0.01Ar≤0.04Ar >0.04Ar -1.9 -1.45 -0.95 -2.1 -2.1 -1.4 Walls <0.01Ar ≥0.01Ar≤0.04Ar >0.04A -1.4 -1.05 -0.7 -1.4 -1.05 -0.7
The tributary area is the area contributing to the force being considered. For example, the tributary area for a cladding fastener will be the area of cladding supported by a single fastener; for a purlin it will be the span between supporting rafters times the distance between purlins.
2.4.1.6 Local positive external pressures. Wall elements with tributary areas less than 0.01Ar, as
defined in Clause 2.4.1.5, shall be designed for the following basic local positive external pressures: (a) For normal buildings: 0.9 kPa.
(b) For highset buildings: 1.05 kPa.
For definition of highset building, see Clause 2.4.1.4.
2.4.1.7 Under floor pressures of highset buildings.
Highset buildings shall be designed for under floor basic pressures of 0.85 kPa and - 0.65 kPa.
2.4.2 Internal pressures. Both cladding and
structure shall be designed for the internal basic pressures given in Table 2.4.2.
TABLE 2.4.2
INTERNAL BASIC PRESSURES
Openings
Basic pressure, kPa max. neg. max. pos.
No dominant openings Dominant openings: (a) Normal building (b) Highset building -0.35 -0.7 -0.7 0.25 0.75 0.85
Internal pressures based on dominant openings shall be used when the area of a permanent opening in one
wall exceeds 4 times the sum of the permanent openings in other walls and the roof.
In tropical cyclone-prone regions C and D, as defined in Clause 2.5.1, internal pressures based on dominant openings shall be used for calculating both ultimate strength and permissible stress design loads unless windows are protected against impact of debris by screens or shutters capable of resisting a 4 kg piece of timber of 100 mm× 50 mm cross-section striking them at any angle at a speed of 15.0 m/s. This requirement does not apply to the calculation of serviceability design loads.
For definition of high set buildings, see Clause 2.4.1.4.
2.4.3 Unenclosed attached canopies, awnings,
carports and eaves.
2.4.3.1 General. Unenclosed attached canopies,
awnings and carports with a roof slope of less than 5° and attached to buildings satisfying the limitations in Clause 2.2, shall be designed using the basic pressures given in Clauses 2.4.3.2 and 2.4.3.3. For the design of unenclosed eaves, the use of net basic pressures given in these Clauses is also permitted.
2.4.3.2 Main structural components. The main
structural components shall be designed for the net basic pressures given in Table 2.4.3.2 acting on the roof.
TABLE 2.4.3.2
NET BASIC PRESSURES (p′) FOR
UNENCLOSED CANOPIES, AWNINGS, CARPORTS AND EAVES
Net basic pressure (p′), kPa Upwards Downwards ≤1 2 ≥5 <0.1 0.5 0.75 1.0 1.05 1.05 1.05 1.05 1.05 1.05 1.05 1.60 1.05 1.05 1.40 1.60 1.25 0.60 0.60 0.60 LEGEND:
hc = the height from ground to the attached canopy, etc
he = the eaves height of the building, to which the canopy, etc, is attached
wc = the width of the canopy, etc, from the face of the
building.
NOTE: For intermediate values of hc/he and hc/wc, linear interpolation is permitted.
2.4.3.3 Roof cladding and its immediate supports.
Roof cladding and its immediate supports shall be designed for the same net basic pressures as given for the main structural components in Table 2.4.3.2. Within a distance from an edge of 0.2 times the length of the canopy, awning, carport or eave (measured parallel to the wall to which it is attached), the roof cladding and its immediate supports shall also be designed for the local net basic pressures given in Table 2.4.3.3.
TABLE 2.4.3.3
LOCAL NET BASIC PRESSURES (p′) ON
ROOF CLADDING OF CANOPIES, ETC Tributary area
(A) m2
Net basic pressure (p′), kPa Upwards Downwards <1 2 >5 <0.01Ar ≤0.1 0.5 0.75 1.0 2.1 2.1 2.1 2.1 2.1 2.1 2.1 3.2 2.1 2.1 2.8 3.2 2.5 1.2 1.2 1.2 ≥0.01Ar≤0.04Ar ≤0.1 0.5 0.75 1.0 1.6 1.6 1.6 1.6 1.6 1.6 1.6 2.4 1.6 1.6 2.1 2.4 1.9 0.9 0.9 0.9 NOTES:
1. For intermediate values of hc/heand hc/wc, linear interpolation is permitted.
2. For definition of tributary area, see Clause 2.4.1.5. 3. For definition of hc, heand wc, see Clause 2.4.3.2. 2.4.4 Free standing roofs.
2.4.4.1 General. Monoslope, pitched and troughed
free roofs, whose height (ht) is less than their
minimum plan dimension (d), shall be designed for the net basic pressures (p′) and frictional forces (Ff)
given in Clauses 2.4.4.2 and 2.4.4.3.
2.4.4.2 Main structural components. The main
structural components shall be designed for the following net basic pressures (p′ ) and frictional forces (Ff):
(a) Net basic pressures (p′ ) acting upwards and downwards at right-angles to the roof surface as given in Table 2.4.4.2.
TABLE 2.4.4.2
NET BASIC PRESSURES (p′) ON FREE
STANDING ROOFS Roof type Roof pitch,
degrees
Net basic pressure (p′), kPa Downward Upward Pitched and troughed Monoslope Monoslope all ≤15 30 0.95 0.85 1.70 1.60 1.60 2.80 NOTE: For monoslope roof pitches between 15°and 30°, linear interpolation is permitted.
(b) Frictional forces (Ff) acting parallel to the roof
surface and given by Equation 2.4.4.2.
Ff= fArB1B2B3B4 . . . (2.4.4.2)
where
Ff = the resultant frictional force
f = a friction stress, in kilopascals = 0.011 for wind parallel to
corrugations and ribs
= 0.021 for wind at right angles to corrugations
= 0.042 for wind at right angles to ribs
Ar = the gross plan area of free standing
roof
B1,B2, = the multiplying factors given in
B3and B4 Clause 2.5
2.4.4.3 Free roof cladding and its immediate
supports. In general, free roof cladding and its immediate supports shall be designed for the same net basic pressures given for the main structural components in Table 2.4.4.2. Within 0.2√Arof edges,
corners, ridges, etc, where Aris the gross plan area of
the roof, they shall also be designed for local net basic pressures acting upwards as given in Table 2.4.4.3.
TABLE 2.4.4.3
LOCAL UPWARD NET BASIC PRESSURES
(p′) ON FREE STANDING ROOFS
NOTE: For roof pitches between 10° and 30°, linear
Roof type Roof pitch, degrees Tributary area (A) m2
Net basic pressure (p′) kPa All ≤10 Corner < 0.01Ar Other < 0.01Ar ≥0.01Ar≤0.04Ar 4.2 2.8 2.1 Pitched and troughed 30 < 0.01Ar ≥0.01Ar≤0.04Ar 3.2 2.4 Monoslope < 0.01Ar ≥0.01Ar≤0.04Ar 5.6 4.2
interpolation is permitted, except that it shall be assumed that the higher local pressures in corner regions do not occur for roof pitches greater than 10°.
For definition of tributary area, see Clause 2.4.1.5. 2.4.5 Freestanding walls on ground. Freestanding
walls on ground shall be designed for net basic pressures (p′) of 1.8 kPa.
2.4.6 Rectangular hoardings and signs. Hoardings
and signs shall be designed for net basic pressures (p′) of 1.8 kPa.
A hoarding or sign is defined as a rectangular plate mounted vertically with a clear space underneath of at least 0.4 times the depth (i.e. vertical dimension) of the plate. If the clear space under the sign is less than this, the hoarding or sign shall be treated as a freestanding wall (see Clause 2.4.5).
2.5 MULTIPLYING FACTORS.
2.5.1 Regional multiplying factor (B1). The
regional multiplying factors (B1) given in Table 2.5.1
shall be used in the different wind risk regions as shown in Figure 2.5.1.
TABLE 2.5.1
REGIONAL MULTIPLYING FACTORS (B1)
Region Factors (B1)
A—Normal B—Intermediate C—Tropical cyclone D—Severe tropical cyclone
1.0 1.5 2.3 3.3
FIGURE 2.5.1 MAP OF AUSTRALIA SHOWING BOUNDARIES OF REGIONS FOR THE CHOICE OF REGIONAL MULTIPLYING FACTOR (B1)
(see Paragraph D2.5.1 of Appendix D)
2.5.2 Terrain and height multiplying factor (B2).
To account for the surrounding terrain and the height of the building, the terrain and height multiplying factors (B2) given in Table 2.5.2 shall be used.
TABLE 2.5.2
TERRAIN AND HEIGHT MULTIPLYING FACTORS (B2)
NOTE: For intermediate values of ht, linear interpolation is Building
Height (ht)
m
Factors (B2)
Suburban Open rural terrain
Exposed Sheltered Regions A and B Regions C and D
≤4 7 10 15 0.85 0.90 1.00 1.15 0.55 0.60 0.65 0.75 1.15 1.30 1.45 1.60 1.10 1.20 1.30 1.45 permitted.
The height (ht) of the structure or building shall be
used when selecting (B2) factors for components
situated lower on the structures.
Open rural terrain refers to isolated structures in designated rural areas, and buildings on the edge of designated rural areas or adjacent to the sea or other large expanses of water.
Suburban terrain refers to buildings within designated urban areas and at least 500 m from the edge of designated rural areas in the case of buildings of overall height less than 10 m, and at least 2500 m from the edge of designated rural areas in the case of buildings of overall height equal to or greater than 10 m.
Within suburban terrain, buildings shall be classed as sheltered if surrounded to a depth of at least two rows by buildings of similar or greater height and size at an average density of not less than 10 buildings per hectare; and classed as exposed if adjacent to areas in which the average density of buildings of similar or greater height and size is less than 2.5 buildings per hectare.
For intermediate densities of buildings and within the transition region between suburban terrain and designated rural areas, linear interpolation of values of B2is permitted.
2.5.3 Topographic multiplying factor (B3). Where
structures are located on the upper levels of hills and ridges or near the edges of escarpments, the topographic multiplying factors (B3) given in
Table 2.5.3 shall be applied.
TABLE 2.5.3
TOPOGRAPHIC MULTIPLYING FACTORS (B3) Topographic features Maximum incline Location Factors (B3) Escarpment Escarpment Hill or ridge Hill or ridge < 1 in 7.5 < 1 in 15 < 1 in 7.5 < 1 in 10 J T J T 1.0 Escarpment Escarpment Hill or ridge Hill or ridge ≥1 in 4 1 in 7.5 1 in 4 1 in 7.5 J T J T 1.3 Escarpment Hill or ridge Hill or ridge ≥1 in 4 1 in 3 1 in 5 T J T 1.6 Hill or ridge Hill or ridge > 1 in 1.5 1 in 2 J T 2.0 Hill or ridge ≥1 in 1.5 T 2.4 NOTES:
1. The maximum incline is the maximum slope of the hillside in terms of the average slope over a change in elevation of 20% of the effective height of the hill.
2. The effective height is the height of the hill above the general level of the adjacent terrain. In Figure 2.5.3(a), z1 and z2are the effective heights of the hill (in metres), on each side of it. In Figure 2.5.3(b), z is the effective height of the escarpment (in metres).
3. Locations T and J are defined in Figure 2.5.3.
4. For topographic features with effective heights of less than 10 m in open rural terrain and 25 m in suburban terrain, it is permitted to take the topographic multiplying factor (B3) equal to 1 for buildings and their attachments.
5. The topographic multiplying factor (B3) for locations other than T and J is equal to 1.
6. For intermediate values of average upwind slopes, linear interpolation is permitted.
2.5.4 Roof reduction factor (B4). The external wind
forces on major roof supporting structures, excluding cladding and its immediate supporting members, shall be multiplied by the roof reduction factor (B4) given
in Table 2.5.4.
TABLE 2.5.4
ROOF REDUCTION FACTORS (B4)
NOTES:
Tributary area (A) m2 Factor (B4) ≤ 10 25 ≥100 1.0 0.9 0.8
1. For intermediate values of tributary area (A), linear interpolation is permitted.
2.6 FATIGUE LOADING. In tropical cyclone regions C and D, as shown in Figure 2.5.1, cladding and its connections shall be designed to resist the fatigue loading sequence given in Table 2.6.
(See Paragraph D2.6 of Appendix D.)
TABLE 2.6
FATIGUE LOADING SEQUENCE
LEGEND:
Range Number of cycles
0 to 0.4pd 0 to 0.5pd 0 to 0.6pd 0 to 1.0pd 8 000 2 000 200 1
pd = the ultimate limit state design wind pressure, as
specified in Clause 2.3.
NOTE: These requirements will normally be met by testing three samples each of which should pass. If only one sample is tested, the final cycle should be increased to 1.3pd, and if two samples are tested, it should be increased to 1.2pd. 2.7 SERVICEABILITY DESIGN LOADS. Where
serviceability design loads are required, they shall be obtained by multiplying the ultimate limit state design loads by the multiplying factors given in Table 2.7.
TABLE 2.7
SERVICEABILITY MULTIPLYING FACTORS
Region Serviceability multiplying factor A—Normal B—Intermediate C—Tropical cyclone D—Severe tropical cyclone
0.6 0.4 0.4 0.35
2.8 FARM BUILDINGS AND TEMPORARY
STRUCTURES.
2.8.1 Farm buildings. In the design of structures
such as farm buildings, which present a low degree of hazard to life and other property in the case of failure, the calculated forces on the structure obtained from Clauses 2.4 to 2.7 may be multiplied by 0.8.
2.8.2 Temporary structures. Where the structure is
of a temporary nature and is to be erected for a period of less than 6 months, the calculated forces on the structure obtained from Clauses 2.4 to 2.7 may be multiplied by 0.65.
SECTION 3. DETAILED PROCEDURE: STATIC ANALYSIS
3.1 LIMITATION. Wind pressures, forces, and
moments on structures and components may be calculated by the static analysis procedure set down in this Section unless the structure is wind sensitive. A wind sensitive structure or component is defined as one in which additional loads occur as a result of the dynamic interaction of the wind and structure. The dynamic analysis procedure set down in Section 4 shall be used for wind sensitive structures.
The static analysis procedure shall not be used for the design of main structural components of any structure having both the following properties:
(a) Height or length-to-breadth ratio greater than 5. (b) A first-mode frequency of vibration of less than
1 Hz.
Pressures and forces on parts of walls, roof cladding, canopies, awnings, windows, doors and their supporting framework shall be determined using the static analysis procedure set out in this Section. (See Paragraph E3.1 of Appendix E.)
3.2 GUST WIND SPEED.
3.2.1 General. The design gust wind speed (Vz) at
height z shall be used to determine wind loads on a structure or part of a structure with the static analysis procedure set out in this Section.
3.2.2 Derivation of design gust wind speed (Vz).
The design gust wind speeds (Vz) shall be determined
from the appropriate basic wind speed shown in Figure 3.2.2 for the appropriate limit state given by Equation 3.2.2.
Vz = VM(z,cat)MsMtMi . . . (3.2.2)
where
Vz = the design gust wind speed at height z,
in metres per second
V = the basic wind speed, (Vu), (Vp) and (Vs)
(see Figure 3.2.2), in metres per second
M(z,cat) = a gust wind speed multiplier for a
terrain category at height z for upwind distance of at least (2500 + xi) m (see also Clause 3.2.6,
Tables 3.2.5.1 and 3.2.5.2)
Ms = a sh ield in g mul ti pl ier ( see
Table 3.2.7)
Mt = a topographic multiplier for gust
wind speeds (see Table 3.2.8)
Mi = a structure importance multiplier
(see Table 3.2.9).
NOTE: M(z,cat)may change from the tabulated values if the structure site is within the transition zone near the edge of a terrain boundary (see Clause 3.2.6).
Irrespective of the calculation in this Clause, the design gust wind speed (Vz), determined by
Equation 3.2.2, shall be not less than the following: (a) Ultimate limit state . . . 30 m/s. (b) Permissible stress method . . . 25 m/s. (See Paragraph E3.2.2 of Appendix E.)
3.2.3 Wind direction. At least four wind directions,
equally spaced, shall be considered when calculating wind loads on structures using the detailed procedure. Where sufficient meteorological information is available, the basic wind speed (V) at a site may be adjusted for specific wind directions, in region A for
Vs, Vpand Vu, and in region B for Vs. For some of the
major population centres this is given in Table 3.2.3. Directional wind speeds shall be corrected for terrain, height, shielding and local topography, as indicated in Clause 3.2.2.
Where pressure coefficients or force coefficients and associated multiplying factors are given for only four orthogonal directions relative to the major axes of the structure, the wind speed for any given orthogonal direction shall be taken to be the largest corrected directional wind speed from a 90° sector, symmetrically positioned about the orthogonal direction being considered.
TABLE 3.2.3
BASIC WIND SPEEDS (V) IN (m/s) WITH WIND DIRECTION FOR SOME OF THE MAJOR POPULATION CENTRES Wind
direction
Adelaide Brisbane Canberra Melbourne Perth Sydney
Vs Vp Vu Vs Vp Vu Vs Vp Vu Vs Vp Vu Vs Vp Vu Vs Vp Vu NE E SE S SW W NW N 31 30 30 30 38 38 36 33 34 34 33 33 41 41 39 37 42 42 40 40 50 50 48 45 30 30 32 32 38 38 30 30 49 49 49 49 49 49 49 49 60 60 60 60 60 60 60 60 30 30 30 30 30 35 38 30 33 33 33 33 33 38 41 34 40 40 40 40 41 46 50 42 30 30 30 32 35 38 34 37 33 33 33 34 38 41 36 38 40 40 40 42 46 50 44 46 30 31 30 30 34 38 34 30 33 33 33 33 35 41 38 33 40 40 40 40 43 50 46 41 31 30 36 36 35 38 35 30 33 33 39 38 38 41 38 33 40 40 48 47 47 50 47 40 NOTES:
1 Wind direction in this Table indicates the direction from which the wind blows. 2 For intermediate wind directions, linear interpolation is permitted.
FIGURE 3.2.2 BOUNDARIES OF REGIONS A, B, C AND D (see Paragraph E3.2.1 of Appendix E)
Where pressure coefficients or force coefficients and associated multiplying factors are given for 8 or 16 separate wind directions, they shall be used with the corresponding corrected sector wind speeds derived from Table 3.2.3.
Where directional wind speed data are not available, or their use is not allowed (as in tropical cyclone regions C and D), or for Vpand Vu in intermediate region B
(which includes Brisbane), the basic wind speed may be multiplied by 0.95 for the determination of resultant forces and overturning moments on complete buildings and major framing elements.
NOTE: A reduction factor of 0.95 should not be used simultaneously with values from Table 3.2.3, except for Vpand
Vuin Brisbane.
As an alternative to the methods outlined in this Clause, a detailed probability analysis to allow for the directional effects of wind is permitted.
(See Paragraph E3.2.3 of Appendix E.)
3.2.4 Terrain category. Terrain, over which the
approach wind flows towards a structure, shall be assessed on the basis of the following category descriptions (see also Figures E3.2.4(A) to (D) of Appendix E):
(a) Category 1 — exposed open terrain with few or no obstructions and water surfaces at serviceability wind speeds (Vs) only.
(b) Category 2 — open terrain, grassland with few well scattered obstructions having heights generally from 1.5 m to 10.0 m and water surfaces at wind speeds (Vu) and (Vp).
(c) Category 3 — terrain with numerous closely spaced obstructions having the size of domestic houses (3.0 m to 5.0 m high).
(d) Category 4 — terrain with numerous large, high (10.0 m to 30.0 m high) and closely spaced obstructions such as large city centres and well-developed industrial complexes.
Selection of terrain category shall be made with due regard to the permanence of the obstructions which constitute the surface roughness, in particular vegetation in tropical cyclonic regions shall not be relied upon to maintain a wooded terrain roughness.
A roughness length (zo) is defined for each terrain
category in Table 3.2.4. TABLE 3.2.4 ROUGHNESS LENGTH (zo) Terrain category Roughness length (zo) metres 1 2 3 4 0.002 0.02 0.2 2.0
(See Paragraph E3.2.4 of Appendix E.)
3.2.5 Terrain and structure height multiplier
(M(z, cat)). The variation of terrain multipliers with
height (z) shall be taken from Tables 3.2.5.1 and 3.2.5.2.
Designers shall take account of probable future changes to terrain roughness in assessment of terrain and structure height multipliers M(z,cat).
TABLE 3.2.5.1
TERRAIN AND STRUCTURE HEIGHT MULTIPLIERS FOR GUST WIND SPEEDS IN
FULLY DEVELOPED TERRAINS
ULTIMATE LIMIT STATE AND PERMISSIBLE STRESS DESIGN — REGIONS A AND B ONLY SERVICEABILITY LIMIT STATE DESIGN —
ALL REGIONS Height (z) m Multiplier (M(z, cat)) Terrain Category 1 Terrain Category 2 Terrain Category 3 Terrain Category 4 ≤3 5 10 15 20 30 40 50 75 100 150 200 250 300 400 500 0.99 1.05 1.12 1.16 1.19 1.22 1.24 1.25 1.27 1.29 1.31 1.32 1.34 1.35 1.37 1.38 0.85 0.91 1.00 1.05 1.08 1.12 1.16 1.18 1.22 1.24 1.27 1.29 1.31 1.32 1.35 1.37 0.75 0.75 0.83 0.89 0.94 1.00 1.04 1.07 1.12 1.16 1.21 1.24 1.27 1.29 1.32 1.35 0.75 0.75 0.75 0.75 0.75 0.80 0.85 0.90 0.98 1.03 1.11 1.16 1.20 1.23 1.28 1.31 TABLE 3.2.5.2
TERRAIN AND STRUCTURE HEIGHT MULTIPLIERS FOR GUST WIND SPEEDS IN
FULLY DEVELOPED TERRAINS
ULTIMATE LIMIT STATE AND PERMISSIBLE STRESS DESIGN — REGIONS C AND D ONLY
Height (z) Multiplier (M(z, cat))
m Terrain Categories 1 and 2 Terrain Categories 3 and 4 ≤3 5 10 15 20 30 40 50 75 ≥100 0.90 0.95 1.00 1.07 1.13 1.20 1.25 1.29 1.35 1.40 0.80 0.80 0.89 0.95 1.05 1.15 1.25 1.29 1.35 1.40
NOTE TO TABLES 3.2.5.1 AND 3.2.5.2: For intermediate values of height z and terrain category, interpolation is permitted.
(See Paragraph E3.2.5 of Appendix E.)
3.2.6 Changes in terrain category. The wind speed at
a site shall be adjusted for changes in terrain roughness through a correction to the wind speed multiplier
(M(z,cat)). There is an upper limit to the developed height
of the inner layer (hi) which is a function of xi, and
which is independent of whether the flow is from the rougher terrain or to the rougher terrain. With reference to Figure 3.2.6 the corrected wind speed multiplier is given by Equation 3.2.6(3).
xi = . . . (3.2.6(1))
Conversely:
hi = . . . (3.2.6(2))
For gust wind speeds:
Mx = Mo for x < xi Mx = . . . (3.2.6(3)) for 0 < (x - xi) < 2500 m Mx = M(z,cat) for (x - xi) > 2500 m where
xi = the distance downstream, in metres, from
the start of the new terrain to the developed height of the inner layer (hi),
given by Equation 3.2.6(1)
zo,r = the larger of the two roughness lengths, in
metres, given in Table 3.2.4, at the change in terrain
hi = the developed height of the inner layer, in
metres, which is equal to z for the c a l c u l a t i o n o f xi, g i v e n b y
Equation 3.2.6(2)
Mx = the wind speed multiplier at a distance x
from the start of new terrain category for height z
Mo = the upstream terrain category gust wind
speed multiplier at the beginning of each new terrain for height z
M(z,cat) = the downstream terrain category gust
wind speed multiplier for each new ter-rain for height z and (x - xi) > 2500 m,
given in Tables 3.2.5.1 and 3.2.5.2
x = the distance downwind, in metres, from a change in terrain category to the structure under consideration
Fully developed gust windspeed multipliers M(z,cat) only
apply at a structure site when the terrain category at the site is uniform upstream for a distance greater than (2500 + xi) metres.
When there is terrain of more than one roughness length upwind of the structure site, corrected wind speed mul tipl iers (Mx) sh all be co mput ed u sing
Equation 3.2.6(3).
The extent of upwind terrain to be considered need not exceed the larger of either 2500 m or 50 times the structure height (ht), provided that the terrain at that limit
is Terrain Category 3 or less rough, (assume the windspeed multiplier (Mo) to be the value for fully
developed terrain at that limit).
If the terrain at that point is rougher than Terrain Category 3, the upwind limit shall be extended until Terrain Category 3 or terrain of less roughness is encountered, or alternatively fully developed Terrain Category 3 may be arbitrarily assumed upwind of that point.