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Publisher’s version / Version de l'éditeur: Building Practice Note, 1981-01

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BUILDING

PRACTICE

NOTE

WIND LOADS OM LOW BUILDINGS 1, I

11

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- 1

W.A. Dalgliesh

Division of Building Research, National Research Council of Canada

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W.A. Dalgliesh

INTRODUCTION AHD B A C K O

Major changes affecting Isw buildings have been made in Commentary El,

Chapter 4 of the Supplement1 to the National Building Code of Canada, 1980.

These changes are the latest in a .series of s t e p s taken to rationalize t h e

calculation of wind loads. They are based on experiments in which a boundary layer tunnel was used to simulate wind interacting with a building and its immediate cnvironrae~lt. In t h e 1970 Commentary on Wind Loads, detailed tables of pressure coefficients f o r low buildings madelled in smooth-flaw tunnels were replaced by one simple table based on early boundary layer wind tunnel

simulations. A t the same time, two separate methods for dealing with t a l l , slender structures were introduced. The first method involved c a l c u l a t i o n

{called the "detailed procedure") and the oTher wind tunnel t e s t i n g .

Until recently, however, advanced methacis of wind load analysis were applied mainly to tall buildings because wind has a considerable influence on their design. A low-rise building normally does not represent a large enough concentratiun of capital to j u s t i f y a model t e s t , As a result, research

leading t o the improvement o f design guidelines w a s slow to develop.

What changed the picture for low-rise buildings was the reaction of the Metal Building Manufacturers Association in t h e United S t a t e s to a tendency toward increased design wind loads in proposed code revisions. From t h e i r

experience with buildings sold and observed t o function adequately over

periods of ten to twenty years, they concluded that there was llttle justifi- cation for any increase in design loads. This l e d them ta support a

comprehensive testing program by the Boundary Layer Wind Tunnel a t the University of Western Ontario. F i n a l reparts3*4 of d i f f e r e n t phases of the program were f i n i s h e d

in

1977 and 1978. Technical papers5~6 presenting the results for crftical consideration by designers and engineers appeared in 1978 and 1979.

The next step w a s t o reduce the information t o a set of concise design guidelines, A key elemefit in the data reduction was t o create a small number of Loading patterns that would reproduce all the critical design wind e f f e c t s ,

such as frame bending moments, purlin loads and so on. As a r e s u l t , critical e f f e c t s found f o r several different wind directions were represented in a single load pattern that did not necessarily correspond to any one direction. However, the advantage of dealing with only a limited number of load patterns finstead of many) had t o be balanced against the difficulty of finding patterns

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In 1979, draft recommendations were submitted to the appropriate Revision Committee of t h e National Building Code of Canada. Unfortunately, there was insufficient time to resolve a l l problems of presentation before the f i n a l decision to accept the new approach had ta be made. The committee members,

therefore, asked that explanato-ry and background material be provided to h e l p designers become familiar with t h e new procedures. This Note is a response to their request and is intended to be read in conjunction with Commentary B an Wind Loads. l

NEW

FEATURES

A tremendous amount of data compression and s e l e c t i o n has gone i n t o the construction of the four figures (B-6 through 3-9 of t h e Commentary) relating to external peak pressure coefficients far low-rise buildings. The importance of t h e gusty coroponenr o f t h e rind for small buildings requires an elaborate procedure of simul.taneous recording of pressures over various tributary areas. These areas represent design concerns ranging from cladding elements, purlins and bay areas to the sliding and overturning forces on the building as a whole.

An appreciation of the many factors to be considered and the way in which they were handled can be gained by reading Reference 5.

The new recommendations deal separately with questi~ns of over-all

structural effects on primary members and the effects on secondary members and cladding. The dominant gusty component and the steady component of the wind are represented together by I'peak coeffi~ients.~' This is equivalent to

combining the gust effect factor and the external pressure coefficient. As an added convenience for the designer, the simplified loading patterns already include allowances for partial loading. These patterns fulfil t h e requirements of Clause 4.1.8.3.11) o f the National Building Cade without the need for

further calculation.

S i g n i f i c a n t load reductions result from area averaging of uncorrelated

small gusts. These reductians a m already incorporated in the peak coefficients for primary members. For cladding and secondary members, however, the peak pressure coefficients are given i n graphs as functions of

the tributary areas. IMPORTANT VARIABLES Reference Height

Since wind effects are expressed in non-dimensional terms as peak

pressure coefficients, they must be multiplied by t h e basic d e s i g n pressure for the site, taken at some appropriate height above ground. The mid-height of t h e roof was found to be the most usefkl height for summarizing the data for d i f f e r e n t s i z e s and shapes o f building. It: was therefore chosen as the

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Roof Angle

Roaf angle strongly affects the flow around a low-rise building.

As well, for s t e e p angles, the slope af the roof adds considerably to the

reference height. The eave height may be used if t h e roof angle i s

10 degrees or less. Three roof slopes [1:12, 4:12 and 12:12) form the experimental b a s i s for three categories of roof cladding coefficients

(<lo, 10-30 and 30-45 degrees). In interpolating for steeper roofs on the primary structure, coefficients labelled "90 degrees1' are also provided. No roof, however, could be quite that steep!

End Zms

An important finding of the t e s t s concerns the extra load exerted on t h e ends of the building compared to the middle portion. Typically, only one end

will be loaded at one time; although each end must be designed in i t s turn for this unbalanced condition. There are two d i f f e r e n t and zones: one on the roof and long walls and one an t h e gable-end wall (see Figure IS-6 o f the Commentary). The end zone dimensions, labelled "yM and "z", are governed by one of t h e fallowing: reference height, least horizontal dimension of the building, a minimum or maximum dimension, or spacing of interior frames. The

footnotes to the appropriate figure ( B - 6 through 0-9) provide the details. Notice t h a t the length of the building does not influence t h e width of the end zones. One unexpected result of the t e s t i n g was the discovery that

the length of the building d i d noat appear t o be an important variable. Internal Pressures and Openings

The internal pressure coefficient is needed t o complete t h e analysis of loads acting on various parts of the structure, particularly in the case of cladding. Several experiments were made

on

models w i t h openings in various walls, as well as varying percentages of background porosity evenly

distributed among all w a l l s . The internal pressure appeared to be as dynamic

as the external pressure, but its i n t e n s i t y was significantIy lower. For wall openings of more than 20% of the wall area, the internal pressure

coefficients were independent of the background porosity, which was varied in

these experiments from 0 to 3%. The most c r i t i c a l condition occurred with openings in the windward wall, generally causing positive internal prossure coefficients. 7

Additional research is required to determine the e x t e n t and e f f e c t of

domfnant openings and normal leakage areas in full-scale buildings. Tt was

d e c i d e d , therefore, not to recommend changes at t h i s time i n t h e internal pressure coefficients. The internal pressure coefficients are given for both

low and high buildings in Figure B-11 o f the Commentary.

The fallowing suggestions, although not spelled out in the Commentary, do not c o n f l i c t with a consemative interpretation ~f its recommendations. The uniform distribution of leakage required to qualify for an internal

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pressure coefficient of - 0 . 3 for a l l wind directions may be difficult to

ensure in the case of low buildings w i t h many operable openings (doors and windows]. They are also more susceptible to window breakage from wind-bornc missiles during storms which immediately a l t e r s the internal pressure, usually for the worse.

As a general rule, therefore, it is prudent to design either for a zero internal pressure- coefficient or for -0.3, whichever is worse in any

situation. However, if there are large doors unable to withstand the f u l l design load, it may be necessary to use a positive internal pressure

multiplied by the gust factor, i.e., 0.7 x 2.0. If windows are likely to be broken by debris, a t o t a l internal peak pressure coefficient of 2 0 . 3 may be appropriate.

Surrounding Terrain and Buildings

The cha-racteristies of the surrounding terrain and the influence of nearby structures also play a role in f i u t do n o t enter into] t h e new

procedure. Two different terrains were investigated: open country and

suburban. A moderate reduction o f laads can generally be expected for the latter, but it was decided to introduce only the results for the open country

case. Nearby structures have a tendency to reduce rather than t o increase

wind effects; although exceptions do occur. Where strang interactions are suspected, special wind tunnel tests may be warranted. An example might be

the presence of a much taller building which d e f l e c t s a strong flow sideways

and downward onto a lower building located near the edge of its wake. SAMPLE LOADING PA'JTERN FOR PRIMARY STRUCTURAL DESIGN

The loading patterns In Figure 3-6 of the Commentary are composites of critical effects from a number of wind directions. Even so, it is convenient to think i n terms of two basic patterns: winds perpendicular to the r i d g e

(Case A) and winds parallel t o the ridge (Cases

B,

1 and 2)

.

In general,

Case A supplies the forces in the plane o f the frames, whereas the main

concern in supplying Case BI is to provide for sliding and overturning in t h e longitudinal direction. For roof slopes of 20 degrees and over, however,

it was found necessary to devise a t h i ~ d loading pattern to supplement Casc A. Even though its purpose is not to supply longitudinal loads, Case B2 (like Bl) is associated with llwinds generally parallel to the ridge."

To illustrate, a building with a roof angle of 20 degrees will be

discussed far the case of a zero internal pressure coefficient. The n e t peak pressure coefficients will, therefore, b e taken directly from Figure B-6 of t h e Commentary, The least horizontal dimension is 40 m and the eave height is 10 m, making the reference height (mid-height of the roof) 14 m. The procedure for low-rise buildings normally applies only ta a height of 20 m, but the Commentary allows an extension to greater heights provided the height:width ratio is not greater than two. The end zone width an the end wall is 4 m [lesser of 10% of 40 m or 40% of 14 m). The end zone width parallel to the ridge is 8 m.

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The peak coefficients and t h e i r applicable areas are shown in Figures 1 ,

2 and 3 of t h i s paper. In an actual design situation, the loads would b e

calculated by multiplying the coefficients of Figure 1 by the exposure f a c t o r for the reference height of 14 m (C, = 1.1 from Table 4 . 1 , 8 A of t h e Code) and by the reference velocity pressure with annual probability of exceedance of

1/30. The resulting pressures over the given areas would then be applied t o calculate forces :

F = p A = q C e (C C - C . ) A g p e PI-

The produet of the gust effect factor and the external pressure

coefficient, Cg Cpe, in Equation (1) is the peak coefficient obtained from

Figure B-6 of the Commentary.

CLADDING LOAD PATTERNS

The new external peak coefficients depend on the tributary areas. Several regions are marked out for separate coefficients (four on t h e r o o f , two on the walls, both inward and outward coefficients). As well, within each region, t h e value of the coefficient decreases as it is calculated for larger and lar er tributary areas : from I m2 t o 50 m 2 f o r walls and from

S

1 , 5, or 6.4 m t o 10 n2 f o r roofs. End and edge regions, including the

ridge, are all subject to large outward pressures. Negative internal

pressures tend to alleviate the n e t outward pressure. If there are dominant

openings through the walls or roof ctlnnccti~rp the interior with regions of positive external pressure, however, the oppositc i s true*

With s z e r o internal pressure coefficient in the building disctissed above, the net outward coefficient for a wall area 1 m2 ar less war~Id be

- 2 . l . This a p p l i e s to t h e wall area labelled wew i n any of the end areas of Figure B-7 o f the Commentary. In the case of cladding situated on a windward wall, however, it is more conservative to assume an internal peak pressure

c o e f f i c i e n t of - 0 - 3 . The net inward coefficient would therefore be

1 . 8

-

(-0.3) = 2.1.

For a 1 m2 area located on the roof (corner shaded regions "c" in

Figure B-9 of the Commentary], Cp Cg = -4.1; for those marked " s ' "

,

Cp Cg = -3.1. In the interior regions label l e d "r", Cp Cg = - 1 . 6 .

If

a roof area appropriate t a purlin design is considered, for example

10 m2, the external peak coef f l c i e n t s are somewhat smaller in magnitude.

me

net outward coefficient for regions "c" and "s' " is -2.5. Far region "s" it

is -1.6 and for the interior region 'fr't, -1.5. The area effect is even more pronounced f o r the lower roof angles i n Figure B-8 of the Commentary.

CONCLUDING REMARKS

The n e w material on low buildings may seem unduly compIicated t o someone

who has nut had prior exposure to the multitude sf variables affecting t h e

interaction between building and wind. Hohever, as this Note may suggest,

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justice t o the problem i n so compact a form? The references are strongly recommended t o anyone who wishes more than j u s t an operational knowledge of t h e design method in its present form. Further improvements are needed and will be forthcoming as research progresses, particularly i n t h e area of internal pressures.

Two points should be stressed so that users of t h e new information will be aware of its impact on the design and construction of low buildings. The first point is favourable. Substantial economies should result both because in general loads will be less than formerly required and because there will be a redistribution of wind-resistive elements toward the ends of the buildings where structural strength will do t h e most good, The second p o i n t is t h a t t h e

use of lower design loads implies a greater probability that they will be reached during the l i f e of the building. Thus, t h e handiwork of both designer and builder will s t a n d a greater chance of being put t o t h e t e s t .

REFERENCES

1 . Associate Committee on the National Building Code. The Supplement to the

National Building Code of Canada 1980. National Research CaunciI of

Canada, Ottawa, NRCC 17724.

2. Associate Committee on the National Building Code. National Building Code

of Canada 1980. National Research Council of Canada, O t t a w a , NRCC 17303.

3 , Davenport, A.G.,

D.

Surry and

T.

Stathopoulos. Wind Laads on Low Rise Buildings: Final Report of Phases

T

and 11

-

Parts 1 and 2 : Text and Figures. Faculty o f Engineering Science, University of \Yestern Ontario, London, Canada, BLW SS8 1977.

4, Davenport, A.G.,

D.

Surry and T. Stathopoulos, Wind Loads on Low Rise hi ldings : Final Report of Phase TI1

-

Parts 1 and 2 . Faculty of Engineering Science, University of Western Ontario, London, Canada,

BLWT SS4 1978.

5 . Surry,

D., T.

Stathopoulos and A.G. Ilavenport. Wind Loading of t o w Rise Buildings. Canadian Structural Engineering Conference, Toronto, 1978.

6 . Surry, D., A.E. Davenport and

T.

Stathopoulws. Wind Loads an Low Rise Buildings. American Society of Civil Engineers Fall Convention, Atlanta, Georgia, 22-26 October 1979. (Reprints a v a i l a b l e from the Boundary I.ayer

Wind Tunrtel, Faculty af Engineering Science, University of Western Ontario, London, Canada)

.

7. Stathopoulos, T,, D. Surry and A.G. Davenport, Internal Pressure Characteristics of Low Rise Buildings due to Wind Action, In Wind Engineering, Proceedings of the Fifth Tnternatibnal ~ o n f ere=,

Fort Collins, CoXorado, U.S.A., July 1979. Edited by J.E. Cemak, University of Colorado, Pergamm Press, Val. 1, p . 451-463.

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FIGURE 1

PEAK C O E F F I C I E N T S FOR P R I M A R Y MEMBERS

FOR CASE A

F I G U R E 2

PEAK C O E F F I C I E N T S FOR PRIMARY

MEMBERS FOR CASE B 1 ( R E Q U I R E D

FOR A L L B U I L D I N G S TO P R O V I D E F O R L O N G I T U D I N A L F O R C E S )

PEAK C O E F F I C I E N T S FOR PRIMARY M E M B t l I s

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