14
Proc. lnstn Cio. Engrs, Part 2, 1982,73, Sept., 653-666 8560 Assessment of wind loading on the claddings of high-rise buildings R. P. LAM, BSc(Eng), PhD, MICE, MIStructE* L. c. H. LAM, BSc(Eng), PhD, MICE* Wind damage to the cladding of high-rise buildings is not uncommon in areas subject to typhoon winds. The consequences of failure are not only material losses, but also possible loss of life and injury caused by flying debris. This Paper deals with the assessment of wind loads on the claddings of high-rise buildings, and concludes that design based on wind tunnel model tests alone is often inadequate; it must be supplemented by experienE gained in full-scale tests, good engineering judgement and further research in the response of clad- ding elements to dynamic wind forces. Notation C, exposure factor C, gust factor C,, external pressure coefficient CJi internal pressure coefficient C,, mean external pressure coefficient G gust factor g peak factor g average peak factor I, intensity of turbulence p peak local wind pressure P, maximum wind pressure averaged over a period oft S q mean velocity pressure q, maximum wind pressure averaged over a period o f t S p air density gust velocity pressure Introduction For aesthetic and other reasons the use of curtain walls has become very popular in recent years. In Hong Kong the majority of prestige tall buildings completed in the past five years or so are cladded with curtain walls. As this type of construction requires large-size glass panels and high quality metallic surface finish, its cost is often a fairly significant portion of the total cost of the building. Being the external surface of a building, the glass cladding of curtain walls is subjected to adverse environmental effects such as rain-water penetration, heat loss/absorption, and buffeting of wind gusts. Among these effects, wind loading is the one which causes Written discussion closes 15 November 1982, for publication in Proceedings, Part 2. * University of Hong Kong. 653

Assessment of Wind Loading on the Claddings of High-rise Buildings by R. P. LAM and L. c. H. LAM

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Wind damage to the cladding of high-rise buildings is not uncommon in areas subject to typhoon winds. The consequences of failure are not only material losses, but also possible loss of life and injury caused by flying debris. This Paper deals with the assessment of wind loads on the claddings of high-rise buildings, and concludes that design based on wind tunnel model tests alone is often inadequate; it must be supplemented by experienE gained in full-scale tests, good engineering judgement and further research in the response of clad- ding elements to dynamic wind forces.

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  • Proc. lnstn Cio. Engrs, Part 2, 1982,73, Sept., 653-666

    8560 Assessment of wind loading on the claddings of high-rise buildings

    R. P. LAM, BSc(Eng), PhD, MICE, MIStructE* L. c. H. LAM, BSc(Eng), PhD, MICE*

    Wind damage to the cladding of high-rise buildings is not uncommon in areas subject to typhoon winds. The consequences of failure are not only material losses, but also possible loss of life and injury caused by flying debris. This Paper deals with the assessment of wind loads on the claddings of high-rise buildings, and concludes that design based on wind tunnel model tests alone is often inadequate; it must be supplemented by experienE gained in full-scale tests, good engineering judgement and further research in the response of clad- ding elements to dynamic wind forces.

    Notat ion C , exposure factor C , gust factor C,, external pressure coefficient CJi internal pressure coefficient C,, mean external pressure coefficient G gust factor g peak factor g average peak factor I , intensity of turbulence p peak local wind pressure P, maximum wind pressure averaged over a period oft S

    q mean velocity pressure q, maximum wind pressure averaged over a period o f t S p air density

    gust velocity pressure

    I n t r o d u c t i o n For aesthetic and other reasons the use of curtain walls has become very popular in recent years. In Hong Kong the majority of prestige tall buildings completed in the past five years or so are cladded with curtain walls. As this type of construction requires large-size glass panels and high quality metallic surface finish, its cost is often a fairly significant portion of the total cost of the building. Being the external surface of a building, the glass cladding of curtain walls is subjected to adverse environmental effects such as rain-water penetration, heat loss/absorption, and buffeting of wind gusts. Among these effects, wind loading is the one which causes

    Written discussion closes 15 November 1982, for publication in Proceedings, Part 2. * University of Hong Kong.

    653

  • L A M A N D L A M

    the most severe damage. Hence appropriate assessment of loadings and proper detailing of the cladding units are essential in order to produce a safe, durable and economical design.

    2. This Paper deals with the assessment of local wind loads on tall buildings standing in areas where the occurrence of strong winds or tropical cyclones is frequent. Typical current design methods are reviewed and appraised in the light of full-scale experimental results.

    Current design methods 3. Wind turbulence causes dynamic loading on structures. In considering fail-

    ure of cladding materials under dynamic wind loads, Allen and Dalgliesh' showed that the design wind load for metal cladding failing primarily by yield can be determined by assuming that the panel is a static structure which fails when the wind pressure exceeds the standard plastic resistance. Less is known about glass which is a brittle material, and its strength depends on the panel size, existence of flaws and the rate of loading. By applying the damage criterion determined from glass manufacturers' loading tests to a sustained random wind pressure of duration T , they suggested that glass cladding, like metal cladding, can be considered as statistically loaded structures in which failure occurs when wind pressure exceeds the structural capacity as determined by standard tests. It follows that both types of cladding should be designed to resist peak wind loads.

    4. Current cladding design methods are normally on a static basis. The net design wind pressure on cladding units is usually taken to be the algebraic differ- ence of the external pressure or suction and the internal pressure or suction. The latter is estimated by considering whether or not the claddings are airtight, and if not, by the location and size of the openings. The external pressure or suction is more directly related to wind speed and direction, shape of the building and location of the cladding unit under consideration.

    5. Similar to the static wind load design of the structure as a whole, the calculation of wind loads on cladding units is based on either the mean wind' or peak gusts3. The mean wind approach to calculate the design local wind pressure is generally expressed by

    P = G(Cpe - cpi)q (1) in which the design mean velocity pressure 4 is calculated from the design mean speed v. The external pressure coefficient C,,-which is the ratio of the mean external pressure to the mean velocity pressure q, is usually determined by wind tunnel model experiments in the absence of adequate field data. The internal pressure coefficient depends on the permeability of the building and whether the openings are experiencing external pressure or suction. The gust effect is accounted for by the gust factor, G, which is the ratio of peak to mean effects.

    6. In a comparative study the Authors have shown4 that mean pressure coef- ficients obtained in a wind tunnel with a correctly simulated velocity profile can be used to predict quite accurately the time-averaged wind loads on a building. Equation (1) can therefore provide an accurate assessment of the design load provided that a suitable gust factor G is adopted. Research work5e6 on gust effects are carried out both in wind tunnels and full-scale experiments'-'' in order to study the peak distribution of wind pressure or suction at critical locations on buildings of different shapes under different wind directions.

    7. It is simple to assume that wind loading is a stationary random Gaussian 654

  • W I N D L O A D I N G O N C L A D D I N G S O F H I G H - R I S E B U I L D I N G S

    process such that the gust factor G may be written as

    G = 1 +gZ, (2)

    and a further assumption that the peak distribution is narrow enables the average value g of the Deak factor g to be used for design purposes.' However, more recent work in wind tunnel^^.^ and full-scale experiments'* have shown that the wind pressures do not quite follow the Gaussian distribution.

    8. As an alternative to the mean wind approach, calculation of the local exter- nal pressure or suction can be on a gust speed basis. For instance the British code3 employs the following expression

    in which the gust velocity pressure q is defined in a similar manner to the mean velocity pressure q , but with the design mean velocity replaced by a design three-second gust speed V having a certain probability of occurrence. Although it is desirable to determine maximum wind loads on small units of cladding using gusts with shorter averaging times, it is not at present possible because available meteorological data can only provide maximum gust speed averaged over about three seconds as a result of the characteristics of the type of anemometers used.

    9. The external pressure coefficient C,, is the ratio of the local maximum gust loading to the design gust velocity pressure q. As external pressures and suctions on building surfaces vary considerably with wind direction, velocity profile and building shape, pressure Coefficients are of necessity obtained from measurements on models in wind tunnels, and the great majority of data available have been obtained in conditions of relatively smooth flow. It is therefore suggested3 that where full-scale measurement data are available, values of the pressure coefficients should be adjusted to allow for turbulence and wind tunnel model scale effects.

    10. The accuracy of the design wind load calculated from equation (3) depends on the pressure coefficient C,, for short duration gusts. In a study13 of force coefficients on a multi-storey building obtained from full-scale measurements the authors have found that the force coefficients are not constant but vary with the averaging period. The general trend is that the force coefficient increases with the averaging period, implying that gust loading on the building as a whole decreases with its duration. This phenomenon is expected because short duration gusts are smaller in spatial extent. However, this variation does not necessarily apply to local gust loadings, in particular where the gust is spatially large enough to engulf a cladding element.

    11. It would therefore be enlightening to study the characteristics of the gust factor G and the gust pressure coefficient C in full-scale buildings in order to obtain a better understanding of the nature o&st loads on cladding.

    Full-scale experiment 12. The full-scale measurements were carried out at the experimental building

    of the Centre of High Building Research in the Department of Civil Engineering, University of Hong Kong. The experimental building is situated on a piece of lowland in an open area where it is exposed to winds blowing from all directions. It is a ten-storey steel-framed building measuring 18.29 m by 9.15 m in plan and 30.48 m in height, and is enclosed on all sides to its full height with steel-framed glass curtain walls (Fig. 1). A site plan is shown in Fig. 2.

    655

  • L A M A N D L A M

    Fig. 1. Experimental building of the Centre of High Building Research at Cape D'Aguilar, Hong Kong

    (a)

    Fig. 2. (a) Site plan of experimental building; (b) layout plan of experimental station

    656

  • W I N D L O A D I N G O N CLADDINGS O F H I G H - R I S E BUILDINGS

    13. Wind velocities in the vicinity of the building are measured by ane- mometers mounted on four latticed steel masts, each 54.86 m high and spaced equally at 15.24 m intervals in a straight line parallel to the north-east side of the building at a distance of approximately 60 m. Anemometers are positioned at four levels on each mast, at 7.62, 22.86, 38.10 and 54.86 m above the common base level of the masts, which is about 5.5 m above mean sea level. Mean and gust velocity profiles are obtained and the roof level of the experimental building (about 40 m above mean sea level) is selected as the reference level.

    14. Wind pressure fluctuations on the four vertical faces of the building are measured by 72 pressure transducers flush-mounted at selected points (Fig. 3) in the glass wall panels at 9.1, 15.2, 21.3 and 27.4 m above ground floor level. The pressure transducers are of the strain gauge type designed by the Building Re- search StationI4 to measure the difference between the external pressure and that within its body cavity which serves as a reference or datum pressure. For the measurement of local gust loading on claddings the reference or datum pressure is ideally the internal pressure inside the building so that the measured load is the total load acting on the cladding, and this is achieved by verting the body cavity of each transducer through a small opening to the inside of the building. Openings in the curtain wall are kept closed to create a more stable internal pressure inside the

    A B

    S

    - Latticed towers

    F Guyed ma

    l

    C D

    / 32

    \

    Experimental building

    ( b)

    Fig. 2 continued

    657

  • L A M A N D L A M

    18 288 mm P- -____I 23243098 6731 30982324 !riimlmm mm ;mmimAl

    T - r

    91 44 mm.

    mm 1 mm

    N . / / / ///7 Location of pressure transducers on the full-scale building

    Front elevation Side elevation (Y

    I 18 288 mm

    I p2324 , 3098 , 6731 mm , 3098 , 2324 , mm ' mm ; : mm : mm j NE1 'NE2 'NE3 NE4 N E5' NE$- -

    E : E

    0 m N p.

    E E N W--

    m p.

    m

    0 N

    E E

    0 m r.

    .F* W v)

    J --?SW1 ,SW2 , SW3 sw4, SW5, SW6j-r -

    ib)

    Fig. 3. (a) Location of pressure measuring points on full-scale building; (b) floor plan showing location of pressure transducers

    658

  • W I N D L O A D I N G O N CLADDINGS O F H IGH-RISE BUILDINGS

    building during measurement. 15. Analogue signals from the anemometers and pressure transducers are

    scanned and digitized by a 240-channel high-speed data logger at a rate of ten data points a channel per second, and the digital data are recorded on magnetic tape. Description of other experimental facilities at the building are given in references 4 and 15.

    Results 16. Wind pressure data obtained in six occasions of typhoon with different

    wind speeds and directions were analysed. Gust factors and local pressure coef- ficients defined by the following expressions were computed:

    maximum instantaneous pressure mean pressure* G = (4)

    where P, is the maximum pressure averaged over a period of t seconds, q, is 1/2(pV;), and ?( is the maximum gust speed averaged over a period o f t seconds. It is observed that there are marked differences between the characteristics of pressures and suctions. Typical results of the gust factor and pressure coefficients at selected transducer positions are shown in Tables 1 and 2 for face-on and glancing winds respectively. The selected positions are: points of maximum windward pressureypoints near the leading edge of windward face or side walls, and points of

    Table 1 (a). Pressure coefficients and gust factors at selected transducer posi- tions under a wind at 7" to the normal of a major building face

    Transducer

    0.1 S

    9NE3 -0.52 9SE1

    0.95

    - 0.84 3NW2 -0.52 3sw5 - 1.00 3SE1

    0.92 3NE3 - 0.68 5NW2 - 0.45 5sw5 - 0.97 5SE1

    1.04 5NE3 - 1.20 7NW2 -0.37 7sw5 - 0.70 7SE1

    0.96 7NE3 -0.78 9NW2 -0.39 9sw5

    C P C

    1 s

    0.97 -0.35 -0.38 -0.74

    0.98 - 0.50 -0.37 - 1.13

    1.04 - 0.59 -0.46 -0.64

    0.94 -0.72 -0.50 -0.82

    T 3 s

    0.94 - 0.28 -0.37 - 0.64

    0.95 - 0.46 -0.35 - 1.05

    1.03 -0.53 - 0.42 - 0.54

    0.9 1 -0.58 - 0.47 - 0.70

    C,, 30 min.

    0.92 -0.19 - 0.20 -0.25

    0.96 -0.25

    0.14 - 0.65

    1.05 - 0.27 -0.13 - 0.22

    0.90 -0.27

    0.13 -0.32

    G

    2.02 5.36 3.82 6.12 1.96 5.49

    -5.18 3.62 1.94 7.04 6.78 6.06 2.00 7.26

    - 7.84 5.15

    -

    Mean wind speed averaged over 30 minutes at roof level = 23.7 m/s. Mean wind direction = N 38"E.

    PIG

    1.9 - 1.0 - 0.8 - 1.5

    1.9 - 1.4 - 0.7 - 2.4

    2.0 - 1.9 - 0.9 - 1.3

    1.8 - 2.0 - 1.0 - 1.6

    * averaged over 30 minutes unless noted otherwise.

    659

  • L A M A N D L A M

    maximum suction on the leeward face and side walls. 17. On examining the gust factors, it is apparent that large values (up to 33.18)

    are associated with suctions on the leeward and side walls, whereas gust factors for pressures seldomexceed three. It is also observed that these large values of the gust factor actually resulted from small values of the mean local pressure/suction averaged over 30 minutes.

    18. With regard to the local pressure coefficients, the results show that different patterns ofvariation with the averaging period I exist. In general, the local pressure coefficient decreases with the averaging period at locations where suctions occur, irrespective of the angle ofincidence ofthe wind on the building. On the other hand, variation of positive pressure coefficients with the averaging period depends on the angle of attack.

    19. For winds acting almost normal to a major building face (aspect ratio width/depth = 2) the windward pressure coefficients are rather constant, i.e. C,,

    Table 1 (b). Pressure coefficients and gust factors at selected transducer posi- tions under a wind at 11 to the normal of a major building face

    Transducer

    9NE 1 9NE3 9NE5 9NE6 9NW3 9SE1 9 s w 3 7NE1 7NE3 7NE5 7NE6 7NW3 7SE1 7sw3 5NE1 5NE3 5NE5 5NE6 5NW3 5SE1 5sw3 3NE1 3NE3 3NE5 3NE6 3NW3 3SE1 3sw3

    0.1 S

    0.85 0.84 0.66 0.57

    - 0.92 - 0.43 - 0.50

    0.92 0.93 0.78 0.62

    -0.67 - 0.49 -0.52

    0.95 0.93 0.66 0.54

    - 0.8 1 -0.77 - 0.49

    0.86 0.84 0.55

    - 0.28 -0.71

    0.40 -0.36

    C P C

    1 s

    0.91 0.89 0.71 0.61

    - 0.90 -0.37 - 0.54

    0.96 0.97 0.83 0.64

    -0.67 - 0.40 -0.55

    0.99 0.96 0.69 0.55

    - 0.80 -0.60 -0.52

    0.89 0.85 0.58

    -0.29 -0.65

    0.41 -0.37

    T 3 s

    0.92 0.90 0.69 0.60

    - 0.90 - 0.30 - 0.54

    0.93 0.96 0.86 0.63

    - 0.69 -0.31 -0.52

    1.03 0.95 0.70 0.56

    - 0.79 - 0.40 - 0.49

    0.89 0.87 0.58

    - 0.27 -0.56

    0.40 -0.36

    30 min

    0.96 1.15 0.55 0.52

    -0.61 -0.12 - 0.43

    1.05 1.26 0.82 0.60

    -0.50 0.05

    - 0.37 0.97 1.17 0.62 0.53

    - 0.63 -0.11 -0.35

    0.86 1.02 0.58 0.46

    -0.38 0.48

    - 0.41

    G

    2.28 1.90 3.12 2.85 3.93 9.45 3.47 2.26 1.91 2.47 2.68 3.48

    -25.15 4.15 2.53 2.06 2.76 2.65 3.35

    17.47 4.48 2.59 2.04 2.46

    - 4.54 4.90 2.15 8.50

    T

    L

    Mean wind speed averaged over 30 minutes at roof level = 20.5 m/s. Mean wind direction = N 34"E.

    660

    2.2 2.2 1.7 1.5

    - 2.4 - 1.1 - 1.5

    2.4 2.4 2.0 1.6

    - 1.7 - 1.3 - 1.5

    2.5 2.4 1.7 1.4

    -2.1 - 1.9 - 1.6

    2.2 2.1 1.4

    - 0.7 - 1.9

    1.0 - 0.9

  • W I N D L O A D I N G ON C L A D D I N G S O F H I G H - R I S E B U I L D I N G S

    Table 1 (c). Pressure coefficients and gust factors at selected transducer posi- tions under a wind normal to a minor building face

    Transducer

    9SW6 9SE1 9SE2 9SE3 7SW6 7SE1 7SE2 7SE3 5SW6 5SE1 5SE2 5SE3 3SW6 3SE1 3SE2 3SE3

    0.1 S

    -0.78 0.69 0.7 1 0.74

    - 0.46 0.82 0.74 0.80

    - 0.70 0.7 1 0.78 0.71 0.67

    - 0.7 1 0.70

    -0.63

    c,,

    1 s

    0.44 0.74 0.77 0.77 0.44 0.88 0.80 0.82

    -0.57 0.77 0.84 0.77 0.69

    - 0.65 0.76

    -0.55

    3 s

    0.36 0.8 1 0.83 0.82 0.41 0.87 0.87 0.82 0.55 0.82 0.90 0.8 1 0.71

    - 0.60 0.79

    - 0.46

    l- CPe

    30 min

    - 0.06 1.10 1.16 I 0 4

    -0.13 1.08 1.39 0.97

    1.14 1.27 1.05 0.84

    -0.29 1.04

    - 0.06

    - 0.28

    G

    ~

    33.18 1.63 1.59 1.85 8.92 1.96 1.39 2.12 6.35 1 60 1.59 1.75 2.06 6.42 1.73

    25.38

    pi4

    - 2.0 1.8 1.8 1.9

    - 1.2 2.1 1.9 2.1

    - 1.8 1.8 2.0 1.8 1.7

    - 1.9 1.8

    - 1.5

    Mean wind speed averaged over 30 minutes at roof level = 333 m/s. Mean wind direction = S 45"E.

    Table 2(a). Pressure coefficients and gust factors at selected transducer posi- tions under a wind at 22" to the normal of a major building face

    Transducer

    9NE2 9NE6 9 s w 3 9SE2 7NE2 7NE6 7sw3 7SE2 5NE2 5NE6 5sw3 5SE2 3NE2 3NE6 3sw3 3SE2

    0.1 S l 1 S l 3 s 1.13 I 1.19 I 1.25 0.62

    -0.59 -0.58 -0.56 -0.42 -0.45 -0.45

    0.63 0.63

    1.29

    -0.27 -0.29 -0.27 0.2 1 0.23 0.23 0.40 0.46 0.44 1.26 1.20 1.16

    -0.28 -0.29 -0.30 -0.32 -0.35 -0.35

    0.72 0.73 0.72 1.38 1.32 1.27 0.59 0'60 0.57

    -0.35 -0.37 -0.37 0.77 0.75 0.72 1.41 1.35

    30 min 1.18 0.54

    -0.36 -0.57

    1.32 0.66

    - 0.30 0,48 1.25 0.6 1

    - 0.27 -0.18

    1.15 0.30 0.14

    -0.19

    G

    2.39 2.87 3.12 2.45 2.44 2.72 3.08 2.96 2.54 2.95 3.24

    . 4.16 2.52 3.66 4.10 3.55

    Mean wind speed averaged over 30 minutes at roof level = 14.9 m/s. Mean wind direction = N 23"E.

    661

  • L A M A N D LAM

    for gusts are approximately equal to the mean pressure coefficient c, at locations near the central portion of the building face. Elsewhere on the windward face the coefficient tends to increase with the averaging period. However, when the wind is normal to a minor building face (i.e. the aspect ratio changes to 05) , the windward pressure coefficients are not constant but rapidly increase with the averaging period. Under glancing winds the pressure coefficients at the leading edge of the windward face are fairly constant, but others tend to increase with the averaging period (except at points which are very close to the trailing edge).

    20. It should be noted that windward pressures are greater in magnitude than leeward suctions and therefore have a greater influence on the properties of the total load on the building as a whole. This explains why the total force coefficient increases with the averaging period13 despite the fact that suctions decrease with that period.

    21. As the gust factor and the pressure coefficient are dependent on the averaging time, a suitable averaging time has therefore to be determined before using appropriate values ofthe gust factor, the pressure coefficient and the reference velocity to calculate a design wind load.

    22. In order that the experimental results may be compared with design wind loads given by codes of practice, it is necessary to make adjustments for the difference in height of the reference mean or gust velocity pressures.

    23. Using a power law mean velocity profile with an exponent of 0.19 which has been determined for the site of the experimental the mean velocity pressure q l 0 at 10 m could be related to the mean velocity pressure q at 30 m (roof level) by

    ql0 = 0.66 4 (6) 24. The three-second gust profiles obtained simultaneously with the pressure

    Table 2(b). Pressure coefficients and gust factors at selected transducer positions under a wind at 22" to the normal of a major building face

    Transducer

    9sw4 9sw5 9SE3 9NW3 7sw4 7sw5 7SE3 7NW3 5sw4 5sw5 5SE3 5NW3 3sw4 3sw5 3SE3 SNW3

    0.1 S

    1.17 0.83

    - 0.70 -0.86

    0.96 0.96

    - 0.93 -0.87

    0.99 0.97

    - 0.99 - 1.19

    0.92 0.85

    - 0.45 -0.72

    CPC

    I s

    1.17 0.83

    -0.57 - 0.69

    0.99 0.98

    -0.71 -0.63

    1 . 1 1 1 .W

    -0.82 -0.90

    1.01 0.95

    - 0.49 - 0.64

    - 3 s

    1.16 0.82

    - 0.47 - 0.55

    0.96 0.94

    - 0.56 -0.55

    1 40 0.97

    -0.58 - 0.69

    0.93 0.88

    - 0.45 - 0.49

    c

    1.27 0.90

    - 0.41 - 0.46

    1.06 1 a4

    - 0.50 - 0.48

    1.10 1.02

    - 0.43 -0.57

    1.02 0.88

    - 0.34 - 0.40

    G

    1.84 1.85 3.42 3.73 1.82 1.83 3.72 3.62 1.80

    4.65 4.18 1 .so 1.95 2.61 3.62

    1.90

    Mean wind speed averaged over 30 minutes at roof level = 24.9 m/s. Mean wind direction = S 23"W.

    662

  • W I N D L O A D I N G O N C L A D D I N G S O F H IGH-RISE BUILDINGS

    measurements indicated that there was no significant variation of the maximum three-second gust with height at the levels ofthe pressure transducers. Therefore no reduction to the three-second velocity pressure q at the respective height of the transducers was considered necessary.

    25. The nondimensional ratios of the observed local maximum wind pressure P to the mean velocity pressure 4 based on the mean wind velocity at roof level of the experimental building are also given in the last columns of Tables 1 and 2. Table 2(c) reveals an unexpectedly high local suction at transducer position 3NE6 which is very close to the leading edge of the windward face, when the mean wind direction was inclined at about 58 degrees to the normal of this face. The observed peak suction of 3.6 4 is equivalent to 5.5 times the mean velocity pressure at 10 m or 1.7 times the three-second gust velocity pressure at roof level. As other nearby transducers recorded positive pressures (with the exception of transducer 5SE3 which recorded a mean positive pressure but a peak suction) it is very likely that the wind loads at both transducer positions (3NE6 and 5SE3) are localized effects.

    Table 2(c). Pressure coefficients and gust factors at selected transducer positions under a wind at 32" from the normal of a minor building face

    Transducer

    9NE2 9NE3 9NE5 9NE6 9NW1 9SE3 9SW1 7NE2 7NE3 7NE5 7NE6 7NW1 7SE3 7SW1 5NE2 5NE3 5NE5 5NE6 5NW1 5SE3 5SW1 3NE2 3NE3 3NE5 3NE6 3NW1 3SE3 3SW1

    0.1s

    0.48 0.68 0.87 0.8 1

    -0.76 1.09

    - 0.44 0.8 1 0.96

    1.02 - 0.74

    1.09

    -

    - 0.49 0.66 0.83 0.79 0.89

    - 0.69 - 0.97 - 0.64

    0.57 0.73 0.77

    - 1.45 - 1.10

    0.71 -0.32

    CV

    1 s

    0.45 0.66 0.90 0.83

    - 0.64 1.12

    - 0.44 0.83 0.99 -

    - 0.70 -

    1.13

    0.6 1 0.78 0.84 0.91

    - 0.64 - 0.8 1 -0.63

    - 0.46

    0.54 0.68 0.74

    - 0.96 -0.86

    0.65 - 0.29

    3 s

    0.43 0.6 1 0.89 0.83

    - 0.62 1.12

    - 0.46 0.82 1.01 -

    -

    -0.61 1.19

    - 0.52 0.62 0.79 0.84 0.91

    - 0.49 -0.78 - 0.66

    0.56 0.73 0.74

    - 0.86 -0.73

    0.62 -0.28

    -r c,, 5 min

    0.50 0.70 1.20 1.07

    - 0.80 1.05

    -0.35 1.14 1.47

    1.65 -

    - 0.65 1.18

    - 0.44 0.67 0.96 1.08 1.25

    - 0.45 0.26

    -0.61 0.54 0.85 0.98

    -0.91 - 0.87

    0.78 - 0.24

    G

    2.40 2.43 1.82 1.88 2.37 2.58 2.49 1.77 1.63 1.45 1.54 2.83 2.3 1 2.78 2.46 2.16 1.83 1.77 3.89

    -9.26 2.62 2.64 2.15 1.96 3.98 3.14 2.27 3.33

    Mean wind speed averaged over 5 minutes at roof level = 18.3 m/s. Mean wind direction = S 77"E.

    1.2 1.7 2.2 2.0

    - 1.9 2.7

    - 0.9 2.0 2.4

    2.5 - 1.8

    2.7 - 1.2

    1.7 2.1 2.0 2.2

    - 1.8 - 2.4 - 1.6

    -

    1.4 1.8 1.9

    - 3.6 - 2.7

    1.8 - 0.8

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    26. Another interesting feature is shown in Table l(c) in the results obtained under a wind blowing in a direction normal to the minor face. All windward transducers recorded positive pressures, except 3SE1 and 3SE3 which recorded suctions. This phenomenon has been confirmed in a wind tunnel model test in which the surrounding topographic features are also modelled, and it is believed that this localized effect is caused by the rock mass upstream of the building (Fig. 2). The height of this rock mass is almost half that of the building, and it produces a shielding effect on the pressures on the windward minor face.

    21. Adverse effects due to the influence of nearby objects, buildings and structures are bound to exist in a congested built-up environment. Such effects, including high local suctions caused by channelling of flow and wake-induced building vibrations, are difficult to codify. In these situations the designer has to rely on experience gained in field observations and exercise his engineering judgement to decide the acceptable level of safety against wind damage.

    Comparison of experimental results with design wind loads 28. In view of the wide range of variation of the gust factor G and the local

    pressure coefficients C,, over the building surfaces, suitable choice of these two parameters for use in codes of practice has to rely on a substantial amount of research in full-scale as well as wind tunnel measurements. For a building of given shape and size, the design wind load for claddings and walls at critical locations should be assessed under the worst possible conditions (speed and direction) of wind attack. Although the full-scale experimental results reported in this Paper may not have revealed the worst conditions of loading, comparison with design wind pressures calculated from some codes of practice could still provide a valu- able basis for appraisal of the codes. Magnitudes of the design and observed wind pressures can be compared in terms of a reference velocity pressure after suitable adjustment of reference heights has been made. Comparison with the design wind pressures calculated from two codes of practice, the Canadian code and the British code, is made in $2!?-32.

    29. It is both stated in the codes of practice and observed experimentally that when the wind acts at an angle to the windward face of a building, high local suctions will occur at the leading edge of the wall which is at a small angle to the wind where flow separation takes place. The results in Table l(b), at pressure transducer locations NW3, clearly show this effect and are taken for comparison.

    30. The Canadian code which adopts a mean wind approach specifies a gust factor of 2.5 for cladding or window design, a local pressure coefficient of - 1.5 for flat-roofbuildings ofheight greater than twice the width, and an exposure factor of 1.3 appropriate to the dimensions, shape and site conditions of the experimental building. The exposure factor which accounts for the height of the structural element above the adjacent ground level is required because the reference (design) velocity pressure is based on hourly mean speeds measured at a height of 30 ft (about 10 m) in an open exposure. The design local wind pressure is given by the algebraic difference of external and internal pressures :

    where C, = exposure factor = 1.3, Cb = local gust factor = 2.5, C, = external pressure coefficient = - 1.5, Cei = factor for internal pressure = 1.1, CPi = internal pressure coefficient for openings uniformly distributed in all four walls =

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    -0.3, and ql0 = reference velocity pressure based on hourly mean wind speeds at a height of 30 ft.

    31. Referring to Table l(b), the maximum local suction at transducer positions 9NW3, 7NW3, 5NW3 and 3NW3 are 2.4 q, 1.7 q, 2.1 q and 1.9 4 respectively. Using equation (6), these observed peak suctions can be expressed in terms of the mean velocity pressure at 10 m, q l 0 , as 3.6 q l 0 , 2.6 q l 0 , 3.2 q l 0 and 2.9 q l 0 respectively, which are smaller than the design wind pressure calculated by equa- tion (7).

    32. The British code3 adopts a gust-speed approach. The design wind pressure on claddings is calculated based on a gust speed averaged over a period of three seconds at the height of the cladding element (use of the factor S , in calculating the design gust speed). For the experimental building the design local wind pressure is given by

    P = (Cpe - C,& = -0.9 q (8)

    where C,, = external pressure coefficient = - 1.2, CPi = internal pressure coefficient = -0.3 and q = design velocity pressure based on the three-second gust atthe height of the cladding element.

    33. It has been reported in $24 that there was no significant difference between the three-second gust velocities at roof level and at the levels of the pressure transducers. Therefore the observed peak suctions at transducer positions NW3 of Table l(b) can be expressed in terms of the three-second gust velocity pressure q at roof level for comparison purpose. These observed peak suctions are 1.1 q, 0.8 q, 1.0 q and 0.9 q respectively, varying from the highest (9NW3) to the lowest (3NW3) level. Apparently the observed peak suctions can be regarded as reason- ably close to the design value given by equation (8).

    34. Considering that local wind loads are momentary in nature because they are caused by gusts of very short duration (small eddies in the turbulent flow of air around the building), the gust speed approach provides a direct and sound method of assessing wind loads for cladding design in high-rise buildings. However, it has been that this approach tends to result in unduly high total wind loads on a building or structure as a whole, and that the mean wind approach is more suitable for assessing the overall wind effects on a building or structure.

    Conclusion 35. In the design ofthe cladding for a multi-storey building it would appear that

    the gust-speed method of the British code is likely to provide lower pressure values than the mean wind approach of the Canadian code. These lower pressure values are likely to be close to the actual average values of local pressure or suction applied to the cladding.

    36. Higher pressure values may occur at isolated positions in the cladding caused by the influence of nearby buildings or other obstacles. These localized higher values are of the order of magnitude predicted by the Canadian code. For the present, a design method based on CP33 would seem to be suitable on the understanding that isolated positions of higher pressure represent a modest en- croachment on the factor of safety inherent in the design of the cladding.

    Acknowledgement 37. The Authors wish to thank the Centre of High Building Research of the

    University of Hong Kong for providing the full-scale test facilities. The Centre of

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    High Building Research is sponsored by the Hong Kong Government, the Nuffield Foundation, the British Iron and Steel Federation, the Ministry of Overseas De- velopment of H.M. Government, a local Hong Kong benefactor and the Univer- sity of Hong Kong.

    References 1. ALLEN D. E. and DALCLIESH W. A. Dynamic wind loads and cladding design. Division of

    2. NATIONAL BUILDING CODE OF C A N A D ~ Part 4 Design. 3. BRITISH STANDARDS INsTIwnoN. Code of basic data for the design of buildings. British

    Standards Institution, London, 1972. CP3: Ch. V, Part 2. 4. LAM R. P. and LAM L. C. H. Mean wind pressure distribution on a multi-storey

    building. Proc. lmtn Civ. Engrs, Part 2, 1981, 71, Mar., 119-129. 5. PETERKA J. A. and CERMAK J. E. Peak pressure duration in separated regions on a

    structure. Proc. US-Japan research seminar on wind effects on structures, Kyoto, Japan, 1974.

    6. CERMAK J. E. Separation-induced pressurefluctuations on buildings. Colorado State Uni- versity, 1970, Report CEP70-71 JEC19, Fluid Mechanics Programme.

    l. MACKEY S. et al. Gust factors. Proc. semin. on wind loads on structures, Hawaii, 1970. 8. NEWBERRY C. W. et al. Wind pressure on the Post Office Tower, London. Proc. int.

    con5 on wind efects on bldgs and structs, Tokyo, 1971. 9. NEWBERRY C. W. et al. Wind loading on tall buildings-further results from Royex

    House. Building Research Station, 1973. 10. DALCLIESH W. A. Statistical treatment of peak gusts on cladding. J. Struct Diu. Am. Soc.

    Ciu. Engrs. Sept., 1971. 1 1 . DAVENPORT A. G. Note on the distribution of the largest value of a random function

    with application to gust loading. Proc. lnstn Ciu. Engrs., 28, June, 1964, 187-196. 12. WONC K. Y. Some aspects of wind loading effects on the design of multistorey buildings.

    University of Hong Kong, PhD Thesis, 1976. 13. MACKEY S. et al. A full-scale and wind tunnel study of wind loading on a building. Proc.

    of ASCE-IABSE regional conference on tall buildings, Bangkok, Jan. 1974. 14. MAYNE J. R. A wind pressure transducer. Building Research Establishment, 1970, BRS

    Current paper 17/70. 15. LAM L. C. H. and LAM R. P. An experimental study of the dynamic behaviour of a

    multistorey steel-framed building. Proc. Instn Ciu. Engrs., Part 2, 1979,67, Sept. 707- 720.

    16. MACKEY S. et al. A basis for estimation of wind pressures on high-rise buildings in areas subject to typhoon winds. The Structural Engineer, 1973,51, Dec., No. 12, p. 453.

    17. DAVENPORT A. G. and DALCLIESH W. A. Commentary No. l-wind loads. National Building Code of Canada, 1970, Supplement No. 4.

    18. TAYLOR R. G . Blow, blow, thou winter wind, thart not so unkind as Chap. V: Part 2. The Structural Engineer, 1973.51, Dec., No. 12, p. 449.

    19. Discussion on Blow, blow, thou winter wind, thart not so unkind as Chap. V: Part 2. The Structural Engineer, 52, Sept., 1974, No. 9, p. 347.

    Building Research, National Research Council, Canada, Research paper no. 61 1.

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