Asce 7 Wind Example

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Transcript of Asce 7 Wind Example

©L.

Prie

to-P

orta

r -20

08

EGN

EGN

-- 543

9 Th

e D

esig

n of

Tal

l Bui

ldin

gs54

39 T

he D

esig

n of

Tal

l Bui

ldin

gs

Lect

ure

08Le

ctur

e 08

ASCE

7AS

CE 7

-- 02

Solv

ed P

robl

em #

1:02

Sol

ved

Prob

lem

#1:

Anal

ytic

al M

etho

d 2

(for b

uild

ings

< 6

0 fe

et h

igh)

.An

alyt

ical

Met

hod

2 (fo

r bui

ldin

gs <

60

feet

hig

h).

This

lect

ure

appl

ies t

he A

SCE

7-02

cod

e re

quir

emen

ts fo

r w

ind

(Sec

tion

6.0)

to a

sim

ple

stru

ctur

e an

d an

alyz

es it

with

,

The

ASCE

7-0

2 M

etho

d 2,

the

Anal

ytic

al M

etho

dfo

r bu

ildin

gs sm

alle

r th

an 6

0 fe

et in

he

ight

.

The

stru

ctur

e ch

osen

is a

war

ehou

se-o

ffice

bui

ldin

g in

dow

ntow

n Ta

mpa

. Its

di

men

sions

are

100

feet

long

by

50 fe

et w

ide

by 2

0 fe

et ta

ll.

A d

raw

ing

is sh

own

on sl

ide

#3 d

epic

ting

the

loca

tion

of a

ll th

ew

indo

ws a

nd d

oors

. Th

e lo

catio

n of

thes

e w

indo

ws a

nd d

oors

are

eith

er in

the

field

(or

inte

rnal

) zon

es o

r in

the

end

(or

exte

rnal

) zon

es.

The

anal

ysis

cons

ists o

f fin

ding

all

pres

sure

s affe

ctin

g ev

ery

part

of t

his s

truc

ture

that

co

me

from

all

four

dir

ectio

ns.

Fina

lly, w

hen

all t

he p

ress

ures

hav

e be

en c

alcu

late

d, th

e en

gine

er w

ill c

hoos

e th

e la

rges

t pos

itive

pre

ssur

ean

d th

e la

rges

t neg

ativ

e pr

essu

refo

r th

e de

sign

of th

e bu

ildin

g.

The

exam

ple:

a si

ngle

-sto

ry w

areh

ouse

bui

ldin

g, 1

00 fe

et lo

ng, 5

0 fe

et a

nd 2

0 fe

et ta

ll.

The

loca

tion

of th

e w

indo

ws a

nd d

oors

are

cri

tical

: are

they

in th

e “f

ield

”or

in th

e “e

nd”

zone

s; a

re th

ey “

debr

is re

sista

nt”

or n

ot, i

n w

hich

cas

e, th

is fa

ce o

f the

bu

ildin

g is

brea

ched

dur

ing

a hu

rric

ane.

The

basic

form

ula

used

to c

ompu

te th

e w

ind

desig

n pr

essu

re p

that

is a

pplie

d to

a

stru

ctur

e or

a p

ortio

n of

a st

ruct

ure

is,

The

win

d ve

loci

ty c

omes

from

Cou

nty

map

s in

lieu

of F

ig 6

-1b

pg 7

3

This

form

ula

is pe

rfor

med

upo

n 10

diff

eren

t zon

es o

f the

stru

ctur

e in

4 d

iffer

ent w

ind

dire

ctio

ns fo

r bo

th th

e tr

ansv

erse

and

the

build

ing’

s lon

gitu

dina

l dir

ectio

ns. T

he

anal

ysis

is al

so p

erfo

rmed

for

both

the

MW

FRS

and

C&

C. T

here

fore

, the

re a

re a

tota

l of

160

cal

cula

ted

pres

sure

s. Fr

om th

ese,

the

engi

neer

will

cho

ose

the

larg

est p

ositi

ve a

nd

nega

tive

pres

sure

s for

the

final

des

ign.

() (

)(

)2

000

256

zzt

dp

pip

.K

KK

VI

GC

GC

=!

A c

onst

ant /

Tab

le 6

-3 p

g 75

/ Fi

gure

6-4

pg

47+4

8 / T

able

6-4

pg

76 /

Tabl

e 6-

1 pg

73

A c

onst

ant =

0.8

5 or

Equ

atio

n 6-

4 pg

30

/ Fig

6-6

to 6

-8 p

g 50

-53

/ Fig

6-5

pg

49

()

()

=!

zp

piwh

ere

pq

GC

GC

()(

)2

000

256

=zt

zd

p.

KK

VI

fK

acto

r

The

wind

exp

osur

e ca

tego

ry c

oeffi

cien

t Kz

shal

l be

take

n fr

om A

SCE

7-02

, Sec

tion

6,

page

75,

Tab

le 6

-3. T

he E

xpos

ure

Cat

egor

y is

disc

usse

d in

ASC

E 6.

5.6,

pag

es 2

8 an

d 29

. 6.5.

6 Ex

posu

re. F

or e

ach

win

d di

rect

ion

cons

ider

ed, a

n ex

posu

re c

ateg

ory

that

ade

quat

ely

refle

cts

the

char

acte

ristic

s of g

roun

d ro

ughn

ess

and

surf

ace

irreg

ular

ities

sha

ll be

dete

rmin

ed fo

r the

site

at w

hich

the

build

ing

or s

truct

ure

is to

be c

onst

ruct

ed. A

ccou

nt s

hall

be ta

ken

of v

aria

tions

in g

roun

d su

rfac

e ro

ughn

ess

that

aris

es fr

om n

atur

al to

pogr

aphy

and

ve

geta

tion

as w

ell a

s co

nstru

cted

feat

ures

.

6.5.

6.1

Win

d D

irec

tions

and

Sec

tors

. For

eac

h se

lect

ed w

ind

dire

ctio

n at

whi

ch th

e w

ind

load

s ar

e to

be

eval

uate

d, th

e ex

posu

re o

f the

bui

ldin

g or

stru

ctur

e sh

all b

e de

term

ined

for t

he tw

o up

win

d se

ctor

s ext

endi

ng 4

5 de

gree

s eith

er s

ide

of th

e se

lect

ed w

ind

dire

ctio

n.

The

expo

sure

s in

thes

e tw

o se

ctor

s sh

all b

e de

term

ined

in a

ccor

danc

e w

ith S

ectio

ns 6

.5.6

.2

and

6.5.

6.3

and

the

expo

sure

resu

lting

in th

e hi

ghes

t win

d lo

ads

shal

l be

used

to re

pres

ent

the

win

ds fr

om th

at d

irect

ion.

6.5.

6.2

Surf

ace

Rou

ghne

ss C

ateg

orie

s. A

gro

und

surf

ace

roug

hnes

s w

ithin

eac

h 45

-deg

ree

sect

or s

hall

be d

eter

min

ed fo

r a d

ista

nce

upw

ind

of th

e si

te a

s de

fined

in S

ectio

n 6.

5.6.

3 fr

om th

e ca

tego

ries

defin

ed b

elow

, for

the

purp

ose

of a

ssig

ning

an

expo

sure

cat

egor

y as

de

fined

in S

ectio

n 6.

5.6.

3.

Surf

ace

Roug

hnes

s B:U

rban

and

sub

urba

n ar

eas,

woo

ded

area

s or

oth

er te

rrai

n w

ith

num

erou

s cl

osel

y sp

aced

obs

truct

ions

hav

ing

the

size

of s

ingl

e-fa

mily

dw

ellin

gs o

r lar

ger.

Surf

ace

Roug

hnes

s C:O

pen

terr

ain

with

sca

ttere

d ob

stru

ctio

ns h

avin

g he

ight

s ge

nera

lly

less

than

30

ft (9

.1 m

). Th

is c

ateg

ory

incl

udes

flat

ope

n co

untry

, gra

ssla

nds,

and

all

wat

er

surf

aces

in h

urric

ane-

pron

e re

gion

s.

Surf

ace

Roug

hnes

s D:F

lat,

unob

stru

cted

are

as a

nd w

ater

sur

face

s ou

tsid

e hu

rric

ane-

pron

e re

gion

s. T

his c

ateg

ory

incl

udes

smoo

th m

ud fl

ats,

salt

flats

, and

unb

roke

n ic

e.

This

Exam

ple

ASCE

7AS

CE 7

-- 02

Tabl

e 6

02 T

able

6-- 3

, pag

e 75

3, p

age

75Th

is Ex

ampl

e

K h=

K z=

0.70

Cas

e 1

(C&

C) a

nd C

ase

2 (M

WFR

S)

()(

)(

)2

000

256

070

=z

dt

Kp

..

KV

Ifa

ctor

whe

re K

ztis

the

Topo

grap

hic

Fact

or, a

nd is

app

lied

to st

ruct

ures

sitti

ng o

n hi

lls, r

idge

s an

d es

carp

men

ts (A

SCE

7-02

, Sec

tion

6.5.

7, p

ages

29

and

30).

Thi

s top

ogra

phic

fact

or

is re

quir

ed w

hen,

1. T

he h

ill, r

idge

, or e

scar

pmen

t is

isol

ated

and

uno

bstru

cted

upw

ind

by o

ther

sim

ilar

topo

grap

hic

feat

ures

of c

ompa

rabl

e he

ight

for 1

00 ti

mes

the

heig

ht o

f the

topo

grap

hic

feat

ure

(100

H) o

r 2 m

iles (

3.22

km

), w

hich

ever

is le

ss. T

his

dist

ance

sha

ll be

mea

sure

d ho

rizon

tally

from

the

poin

t at w

hich

the

heig

ht H

of th

e hi

ll, ri

dge,

or e

scar

pmen

tis

det

erm

ined

;2.

The

hill

, rid

ge, o

r esc

arpm

ent p

rotru

des

abov

e th

e he

ight

of u

pwin

d te

rrai

n fe

atur

es

with

in a

2-m

ile (3

.22-

km) r

adiu

s in

any

quad

rant

by

a fa

ctor

of t

wo

or m

ore;

3. T

he s

truct

ure

is lo

cate

d as

sho

wn

in F

igur

e 6-

4 in

the

uppe

r hal

f of a

hill

or r

idge

or n

ear

the

cres

t of a

n es

carp

men

t;4.

H /

L h

0.2;

and

5. H

is g

reat

er th

an o

r equ

al to

15

feet

(4.5

m) f

or E

xpos

ures

C a

nd D

and

60

feet

(18

m)

for E

xpos

ure

B.

Whe

n no

t req

uire

d, u

se K

zt=

1.0.

This

Exam

ple

#1.

Figu

re 6

-4 d

escr

ibes

the

para

met

ers o

f the

Top

ogra

phic

Fac

tor,

()(

)()

()

20

0025

60

701

0=

dp

..

.V

IK

fact

or

whe

re K

dis

the

Win

d D

irec

tiona

lity

Fact

or, a

nd is

onl

y ap

plie

d w

hen

used

in

conj

unct

ion

with

load

com

bina

tions

spec

ified

in S

ectio

ns 2

.3 a

nd2.

4 (p

ages

5 a

nd 6

of

ASC

E 7-

02, S

ectio

n 6.

5.4.

4, p

age

28).

The

load

com

bina

tions

can

be,

for

exam

ple,

-Liv

e lo

ad +

win

d, o

r-D

ead

load

+ w

ind,

or

-Sno

w +

win

d, e

tc, e

tc.

The

Win

d D

irec

tiona

lity

Fact

or is

obt

aine

d fr

om A

SCE

Tabl

e 6-

4, p

age

76:

This

Exam

ple

#1:

K d=

0.85

for

both

MW

FRS

and

C&

C.

()(

)()(

)()

()

20

0025

60

701

00

85=

p.

..

.I

faV

ctor

whe

re V

is th

e Ba

sic W

ind

Spee

d, a

nd is

ass

umed

to c

ome

from

any

dir

ectio

n an

d ca

n be

obt

aine

d fr

om lo

cal d

ata

(ASC

E 7-

02, S

ectio

n 6.

5.4,

pag

e 28

).

Basic

Win

d Sp

eed

ASC

E-7-

02, F

igur

e 6-

1b.

With

in th

e St

ate

of F

lori

da th

e w

ind

spee

ds a

re o

btai

ned

from

the

loca

l cou

nty

whe

re th

e pr

ojec

t is l

ocat

ed th

roug

h th

e co

unty

’s w

ind

map

s, th

roug

h,

ww

w.d

ca.st

ate.

fl.us

/fbc/

map

s/2_m

aps.h

tm

Som

e co

untie

s allo

w in

terp

olat

ion

betw

een

win

d sp

eed

lines

, whi

lst o

ther

s do

not.

To o

btai

n a

win

d m

ap o

f thi

s spe

cific

exa

mpl

e in

dow

ntow

n Ta

mpa

(Hill

sbor

ough

C

ount

y), u

se th

is ad

dres

s,

ww

w.d

ca.st

ate.

fl.us

/fbc/

inde

x_pa

ge/m

aps/c

ount

y_m

aps/h

illsb

orou

gh2.

pdf

Hill

sbor

ough

Cou

nty

does

allo

w in

terp

olat

ion,

alth

ough

it is

not

pra

ctic

al.

This

Exam

ple

#1’s

site

.U

se V

= 12

0 m

ph.

()(

)()(

)()

()

20

0025

60

701

00

8512

0=

Ip

..

..

fact

or

whe

re I

is th

e Im

port

ance

Fac

tor,

and

is b

ased

on

the

use

of th

e st

ruct

ure

as w

ell

as th

e N

atur

e of

Occ

upan

cy (A

SCE

7-02

, Sec

tion

6.5.

5, p

age

28).

The

Impo

rtan

ce F

acto

r (fr

om A

SCE

Tabl

e 6-

1, p

age

73),

Cat

egor

y II

V=

120

mph

This

Exam

ple:

I = 1

.0

()(

)()(

)()(

)()

()(

)

20

0025

60

701

00

8512

01

0

219

= =

p.

..

..

facto

r

p.

psf

facto

r

Thus

, the

“ra

w”

win

d pr

essu

re (a

lso k

now

n as

qz,

the

velo

city

pre

ssur

e) is

,

This

“raw

”w

ind

pres

sure

now

nee

ds to

be

mod

ified

by

the

inte

rnal

and

ext

erna

l pr

essu

re c

oeffi

cien

ts (t

he “

fact

or”)

in o

rder

to d

eter

min

e w

hat i

s the

act

ual

pres

sure

that

is g

oing

to b

e ap

plie

d at

diff

eren

t poi

nts o

f the

stru

ctur

e.

WIN

D

An

unbr

each

ed h

ouse

is su

bjec

ted

to p

ositi

ve a

nd n

egat

ive

pres

sure

s fro

m th

e ex

tern

al

win

d.

WIN

D

Whe

n th

e ho

use

is br

each

ed (a

bro

ken

win

dow

, or

a do

or th

at lo

ses i

ts la

tch,

etc

) the

w

ind

ente

ring

the

hous

e w

ill q

uick

ly in

crea

se th

e lo

ads o

n th

e re

mai

ning

win

dow

s, do

ors a

nd r

oof u

ntil

they

too,

fail.

WIN

D

The

pres

sure

coe

ffici

ents

will

add

pre

ssur

e on

som

e w

alls

and

roof

(see

the

win

d ef

fect

upo

n th

e ri

ght s

ide

wal

l and

roo

f) an

d su

btra

ct o

n ot

hers

. The

ana

lysis

sear

ches

fo

r th

e la

rges

t pos

itive

and

neg

ativ

e pr

essu

res o

n th

e st

ruct

ure.

()

()

() (

)(

)21

9

=!

=!

Zpi

pi

p

p

pq

GC

p.

psf

GCGC

GC

Now

the

“raw

”pr

essu

re (a

lso k

now

n as

qz,

the

velo

city

pre

ssur

e) m

ust b

e m

odifi

ed

by th

e pr

essu

re c

oeffi

cien

ts,

whe

re G

C pii

s the

Inte

rnal

Pre

ssur

e Co

effic

ient

and

is ba

sed

on th

e Bu

ildin

g En

clos

ure

Cla

ssifi

catio

n (A

SCE

07-2

, Sec

tion

6.5.

11.1

, pag

e 31

).

Wha

t is t

he w

ind

pres

sure

doi

ng in

tern

ally

? H

ow d

oes t

he w

ind

affe

ct a

n En

clos

ed

Build

ing,

whi

ch is

the

case

for

this

exam

ple?

Even

enc

lose

d bu

ildin

gs h

ave

crac

ks a

roun

d th

e do

ors a

nd th

e w

indo

ws,

so th

at th

e bu

ildin

g “b

reat

hs”

and

feel

s a p

ortio

n of

the

raw

pre

ssur

e.

A B

uild

ing

Encl

osur

e is

defin

ed in

ASC

E 7-

02, S

ectio

n 6.

2, p

age

23,

Build

ing,

ope

n:A

bui

ldin

g ha

ving

eac

h w

all a

t lea

st 8

0% o

pen.

Thi

s co

nditi

on is

expr

esse

d fo

r eac

h w

all b

y th

e eq

uatio

n Ao

0.

8 Ag

whe

re: A

o =

tota

l are

a of

ope

ning

s in

a w

all t

hat r

ecei

ves

posi

tive

exte

rnal

pre

ssur

e, in

ft2

(m2 )

Ag

= th

e gr

oss

area

of t

hat

wal

l in

whi

ch A

o is

iden

tifie

d in

ft2

(m2 )

.

Build

ing,

par

tially

enc

lose

d:A

bui

ldin

g w

hich

com

plie

s w

ith b

oth

of th

e fo

llow

ing

cond

ition

s:1.

The

tota

l are

a of

ope

ning

s in

a w

all t

hat r

ecei

ves

posi

tive

exte

rnal

pre

ssur

e ex

ceed

s th

e su

m o

f the

are

as o

f ope

ning

s in

the

bala

nce

of th

e bu

ildin

g en

velo

pe (w

alls

and

roof

) by

mor

e th

an 1

0%, a

nd2.

The

tota

l are

a of

ope

ning

s in

a w

all t

hat r

ecei

ves

posi

tive

exte

rnal

pre

ssur

e ex

ceed

s 4

ft2(0

.37

m2 )

, or 1

% o

f the

are

a of

that

wal

l, w

hich

ever

is s

mal

ler,

and

the

perc

enta

ge o

f op

enin

gs in

the

bala

nce

of th

e bu

ildin

g en

velo

pe d

oes

not e

xcee

d20

%.

Thes

e co

nditi

ons a

re e

xpre

ssed

by

the

follo

win

g eq

uatio

ns:

1. A

o >

1.10

Aoi

2. A

o >

4 ft2

(0.3

7 m

2 ) or

> 0

.01A

g, w

hich

ever

is sm

alle

r, a

nd A

oi /A

gi

0.20

whe

re: A

o, A

g ar

e as

def

ined

fo

r O

pen

Build

ing

Aoi =

the

sum

of t

he a

reas

of o

peni

ngs i

n th

e bu

ildin

g en

velo

pe (w

alls

and

roof

) not

in

clud

ing

Ao, i

n ft2

(m2 )

Agi =

the

sum

of t

he g

ross

surf

ace

area

s of t

he b

uild

ing

enve

lope

(wal

ls an

d ro

of)

not i

nclu

ding

Ag,

in ft

2(m

2 ).

Build

ing,

enc

lose

d:A

bui

ldin

g th

at d

oes

not c

ompl

y w

ith th

e re

quire

men

ts fo

r ope

n or

pa

rtial

ly e

nclo

sed

build

ings

.

This

Exa

mpl

e.

This

Exam

ple

#1:

() (

)(

)21

90

18

=

pp

.G

C.

psf

whe

re G

C pis

the

Exte

rnal

Pre

ssur

e Co

effic

ient

and

is co

mpu

ted

sepa

rate

ly fo

r th

e M

WFR

S ca

ses a

nd th

e C

&C

cas

es (A

SCE

7-02

, Sec

tion

6.5.

11.2

, pag

e 31

).

Thes

e ex

tern

al p

ress

ures

are

also

det

erm

ined

and

app

lied

base

d on

whi

ch z

one

of

the

build

ing

is be

ing

eval

uate

d (th

at is

, in

the

field

or in

the

end

zone

s).

Up

to th

is po

int,

ASC

E 7-

02’s

pro

cedu

re is

iden

tical

for

both

the,

-Met

hod

2, A

naly

tical

Pro

cedu

re fo

r an

y he

ight

, and

-Met

hod

2, A

naly

tical

Pro

cedu

re fo

r th

e ro

of a

t <

60 fe

et in

hei

ght.

From

now

on,

the

met

hod

of fi

ndin

g G

C pis

diffe

rent

for

thes

e tw

o.

The

dist

ance

aof

the

end

zone

scor

resp

onds

to th

e C

ompo

nent

s and

Cla

ddin

g ca

se:

In su

mm

ary,

a =

0.10

L=

0.10

B

th

e le

ast o

f the

se=

0.40

h

a =

0.04

L=

0.04

B

bu

t not

less

than

thes

e=

3 fe

et

This

Exam

ple:

a =

(0.1

0)(5

0 ft)

= 5

feet

= (0

.40)

(20

ft) =

8 fe

et

= (0

.04)

(50

ft) =

2 fe

et=

3 fe

etth

eref

ore

a =

5 fe

et

() (

)(

)21

90

18

=

pp

.G

C.

psf

Cal

cula

ting

GC p

for

the

MW

FRS

case

is re

pres

ente

d by

GC p

f,

The

valu

es o

f GC p

far

e fo

und

in A

SCE

7-02

, Sec

tion

6.5.

11.2

, pag

e 31

, Fig

ure

6-10

, pa

ges 5

5 an

d 56

.

Figu

re 6

-10,

pag

es 5

5 an

d 56

.

An

expa

nded

vie

w o

f the

ten

(10)

zon

es o

f a b

uild

ing

unde

r a

Tran

sver

se A

load

ing:

The

calc

ulat

ions

of G

C pf

for

the

MW

FRS

case

invo

lve

thes

e te

n (1

0) z

ones

; not

ice

the

valu

es g

iven

in th

e Ta

ble

for

our

Exam

ple

#1’s

flat

roo

f (

= 0°

):

This

Exam

ple:

a fl

at r

oof.

This

line

of c

oeffi

cien

ts a

re n

ow u

sed

to c

alcu

late

the

pres

sure

s sho

wn

on th

e sp

read

-sh

eet s

how

n on

the

next

slid

e.

-5.5

0-1

3.40

-0.4

321

.9 p

sf4E

-7.7

0-1

5.50

-0.5

321

.9 p

sf3E

-19.

50-2

7.40

-1.0

721

.9 p

sf2E

17.3

09.

400.

6121

.9 p

sf1E

-5.9

0-1

3.80

-0.4

521

.9 p

sf6

-5.9

0-1

3.80

-0.4

521

.9 p

sf5

-2.4

0-1

0.30

-0.2

921

.9 p

sf4

-4.2

0-1

2.00

-0.3

721

.9 p

sf3

-11.

20-1

9.10

-0.6

921

.9 p

sf2

12.7

04.

820.

4021

.9 p

sf1

Usi

ng -G

Cpi

Usi

ng +

GC

piq z

zone

Des

ign

pres

sure

sG

Cpf

Vel

ocity

pre

ssur

eB

uild

ing

The

desig

n pr

essu

res f

or th

e M

WFR

S at

all

ten

zone

s for

a T

rans

vers

e A

are

:

Con

sider

the

first

line

of c

alcu

latio

ns fo

r th

e bu

ildin

g’s z

one

#1,

Thus

, for

zon

e #1

, the

pre

ssur

es r

ange

from

+4.

82 p

sf to

+12

.70

psf;

ther

efor

e, w

e w

ould

cho

ose

+12.

70 p

sf fo

r ou

r de

sign

pres

sure

.

This

proc

edur

e no

w c

ontin

ues f

or a

ll te

n zo

nes i

n fo

ur (4

) dir

ectio

ns fo

r th

e tr

ansv

erse

w

ind

load

ing

and

the

four

(4) d

irec

tions

for

the

long

itudi

nal w

ind

load

ing,

or

a to

tal

80 c

alcu

late

d pr

essu

res f

or th

e M

WFR

S ca

se.

Cho

ose

the

larg

est p

ositi

ve a

nd th

e la

rges

t neg

ativ

e pr

essu

res.

()

()

()

()

()

()

()

()

(21.

9)

0.18

(21.

9)

0.18

Usi

ng th

e po

sitiv

e va

lue

of

yie

lds,

(21.

9)

0.40

0.18

Usi

ng th

e ne

gativ

e va

lue

of

yie

lds,

(2

0.40

4.82 12

.70

1.9

)0.

400.

18

pf

pi pi

pps

fps

f

GC

pps

GC

f

GC

p

psf p

pssf

f

=!

±=

=!

=

=!

!=

+12.

70 p

sf

-19.

10 p

sf

-12.

00 p

sf-1

0.30

psf

-13.

80 p

sf

-13.

80 p

sf

+17.

30 p

sf

-27.

40 p

sf

-15.

50 p

sf

-13.

40 p

sf

The

ten

zone

s for

the

Tran

sver

se A

can

now

be

show

n w

ith th

eir

calc

ulat

ed d

esig

n pr

essu

res:

Win

d di

rect

ion

Con

sider

now

, wha

t wou

ld h

appe

n to

the

desig

n pr

essu

res i

f the

roo

f had

a sm

all

pitc

h of

=

20°(

whi

ch c

orre

spon

ds r

ough

ly to

a p

itch

of 5

:12)

,

This

new

var

iant

of E

xam

ple

#1 w

ith

= 20

°,

-10.

10-1

8.00

-0.6

421

.9 p

sf4E

-11.

20-1

9.10

-0.6

921

.9 p

sf3E

-19.

50-2

7.40

-1.0

721

.9 p

sf2E

21.5

013

.60

0.80

21.9

psf

1E

-5.9

0-1

3.80

-0.4

521

.9 p

sf6

-5.9

0-1

3.80

-0.4

521

.9 p

sf5

-5.5

0-1

3.40

-0.4

321

.9 p

sf4

-6.6

0-1

4.50

-0.4

821

.9 p

sf3

-11.

20-1

9.10

-0.6

921

.9 p

sf2

15.5

07.

700.

5321

.9 p

sf1

nega

tive

posi

tive

q zzo

ne

Des

ign

pres

sure

sG

Cpf

Vel

ocity

Pre

ssur

eB

uild

ing

Not

ice

the

sligh

t inc

reas

e in

pre

ssur

e du

e to

the

incr

ease

in th

e ro

of’s

pitc

h, a

lthou

gh

zone

#2E

has

not

cha

nged

,

The

mai

n w

ind

forc

e re

sistin

g sy

stem

(MW

FRS)

des

ign

pres

sure

s jus

t fou

nd a

re u

sed

as th

e la

tera

l for

ces u

pon

the

stru

ctur

al sk

elet

on fr

ame

of th

e bu

ildin

g, su

ch a

s the

st

eel f

ram

e, th

e re

info

rced

con

cret

e co

lum

ns, b

eam

s and

slab

s, sh

ear

wal

ls, e

tc.

The

desig

n pr

essu

res f

rom

the

MW

FRS

port

ion

are

appl

ied

to th

e co

lum

ns a

nd b

eam

s th

roug

h th

e us

e of

the

trib

utar

y ar

eas.

For

exam

ple,

if th

e co

lum

ns a

re sp

aced

at 3

0-fo

ot in

terv

als,

and

the

floor

-to-fl

oor

heig

ht is

10-

feet

, the

trib

utar

y ar

ea is

10’

x 30

’=

300

SF m

ultip

lied

by th

e la

rges

t pos

itive

or

nega

tive

desig

n pr

essu

res f

ound

in th

e tw

o pr

evio

us ta

bles

.

Now

we

will

cal

cula

te th

e de

sign

pres

sure

s for

the

Com

pone

nts a

nd C

ladd

ings

(C&

C).

The

com

pone

nts a

nd c

ladd

ing

are,

for

exam

ple,

the

roof

cov

erin

gs, w

all c

over

ings

, aw

ning

s, ca

nopi

es, e

tc, a

nyth

ing

that

is n

ot a

ffect

ed b

y th

e in

tern

al p

ress

ure

GC p

i = 0

. Th

ese

C&

C e

xter

nal p

ress

ures

are

app

lied

to si

ngle

com

pone

nts,

a“s

tand

-alo

ne”

(one

ca

nopy

, one

doo

r, e

tc) a

nd a

re a

func

tion

of th

e su

rfac

e “e

ffect

ive

area

”of

that

co

mpo

nent

. The

smal

ler

the

effe

ctiv

e ar

ea, t

he m

ore

inte

nse

the

pres

sure

, ver

sus,

the

larg

er th

e ef

fect

ive

area

, the

pre

ssur

e be

com

es sm

alle

r, e

tc.

In th

e A

SCE

Met

hod

1: T

he S

impl

ified

Met

hod

thes

e tw

o se

para

te p

roce

dure

s (M

WFR

S an

d C

&C

) are

uni

ted

into

a si

ngle

pro

cedu

re.

Con

sider

now

the

Exte

rnal

Pre

ssur

e C

oeffi

cien

ts fo

r th

e w

alls

inth

e C

&C

cas

e (A

SCE

7-02

, Fig

ures

6-1

a an

d 6-

1b, p

ages

57

and

58):

Wal

l coe

ffici

ents

Thes

e ar

e th

e C

&C

roo

f coe

ffici

ents

,

Con

sider

the

Exte

rnal

Pre

ssur

e C

oeffi

cien

ts fo

r a

wal

l com

pone

ntth

at h

as a

n ar

ea o

f on

ly 1

0 sq

uare

feet

:

The

desig

n pr

essu

res f

or a

C&

C o

f onl

y 10

SF

of w

all e

ffect

ive

area

are

,

23.3

016

.20

1.00

21.9

psf

5(-)

-24.

00-3

1.10

-1.4

021

.9 p

sf5(

+)

23.2

016

.20

1.00

21.9

psf

4(-)

-18.

10-2

5.20

-1.1

021

.9 p

sf4(

+)

Usi

ng -G

Cpi

Usi

ng +

GC

piq z

zone

Des

ign

pres

sure

sG

Cpf

Vel

ocity

Pre

ssur

eB

uild

ing

Now

wha

t hap

pens

whe

n th

e co

mpo

nent

Now

wha

t hap

pens

whe

n th

e co

mpo

nent

’’ s a

rea

is in

crea

sed

to 1

00 sq

uare

feet

?s a

rea

is in

crea

sed

to 1

00 sq

uare

feet

?

The

desig

n pr

essu

res f

or th

e 10

0 SF

wal

l are

smal

ler,

19.3

012

.20

-0.8

021

.9 p

sf5(

-)

-17.

10-2

4.20

-1.0

521

.9 p

sf5(

+)

19.3

012

.20

0.80

21.9

psf

4(-)

-15.

20-2

2.30

-0.9

521

.9 p

sf4(

+)

Usi

ng -G

Cpi

Usi

ng +

GC

piq z

zone

Des

ign

pres

sure

sG

Cpf

Vel

ocity

Pre

ssur

eB

uild

ing

Sim

ilarl

y, fo

r a

roof

effe

ctiv

e ar

ea o

f onl

y 10

squa

re fe

et, t

heco

effic

ient

s are

,

Ther

efor

e, th

e de

sign

pres

sure

s for

a r

oof c

ompo

nent

10

SF is

,Th

eref

ore,

the

desig

n pr

essu

res f

or a

roo

f com

pone

nt 1

0 SF

is,

-57.

40-6

5.30

-2.8

021

.9 p

sf3(

-)

10.5

02.

600.

3021

.9 p

sf3(

+)

-35.

50-4

3.40

-1.8

021

.9 p

sf2(

-)

10.5

02.

600.

3021

.9 p

sf2(

+)

-18.

00-2

5.80

-1.0

021

.9 p

sf1(

-)

10.5

02.

600.

3021

.9 p

sf1(

+)

Usi

ng -G

Cpi

Usi

ng +

GC

piq z

zone

Des

ign

pres

sure

sG

Cpf

Vel

ocity

Pre

ssur

eB

uild

ing

Con

tras

t the

hig

h pr

essu

res o

n a

roof

com

pone

nt 1

0 SF

with

the

sam

e co

mpo

nent

th

at is

100

SF,

Not

ice

the

drop

in d

esig

n pr

essu

res f

or th

is ca

se o

f a 1

00 S

F ro

of c

ompo

nent

, -20.

10-2

8.00

-1.1

021

.9 p

sf3(

-)

8.30

0.40

0.20

21.9

psf

3(+)

-20.

10-2

8.00

-1.1

021

.9 p

sf2(

-)

8.30

0.40

0.20

21.9

psf

2(+)

-15.

8023

.70

-0.9

021

.9 p

sf1(

-)

8.30

0.40

0.20

21.9

psf

1(+)

Usi

ng -G

Cpi

Usi

ng +

GC

piq z

zone

Des

ign

pres

sure

sG

Cpf

Vel

ocity

Pre

ssur

eB

uild

ing

Refe

renc

es.

Refe

renc

es.

1.A

mer

ican

Soc

iety

of C

ivil

Engi

neer

s, Pu

blic

atio

n A

SCE

7-02

, “M

inim

um

Des

ign

Load

s for

Bui

ldin

gs a

nd O

ther

Str

uctu

res”

, Was

hing

ton

DC

, 200

2;

2.W

. C. B

rack

en P

E, “

Win

d Lo

ad D

esig

n”, F

lori

da E

ngin

eeri

ng S

ocie

ty,

Talla

hass

ee, 2

007;

3.K

.C. M

ehta

, J.M

Del

ahey

, “G

uide

to th

e U

se o

f the

Win

d Lo

ad P

rovi

sions

of

ASC

E 7-

02”

ASC

E Pr

ess,

Was

hing

ton

DC

, 200

3.