27
© L. Prieto-Portar - 2008 EGN EGN - - 5439 The Design of Tall Buildings 5439 The Design of Tall Buildings Lecture 08 Lecture 08 ASCE 7 ASCE 7 - - 02 Solved Problem #1: 02 Solved Problem #1: Analytical Method 2 (for buildings < 60 feet high). Analytical Method 2 (for buildings < 60 feet high). This lecture applies the ASCE 7-02 code requirements for wind (Section 6.0) to a simple structure and analyzes it with, The ASCE 7-02 Method 2 , the Analytical Method for buildings smaller than 60 feet in height. The structure chosen is a warehouse-office building in downtown Tampa . Its dimensions are 100 feet long by 50 feet wide by 20 feet tall. A drawing is shown on slide #3 depicting the location of all the windows and doors. The location of these windows and doors are either in the field (or internal) zones or in the end (or external) zones. The analysis consists of finding all pressures affecting every part of this structure that come from all four directions. Finally, when all the pressures have been calculated, the engineer will choose the largest positive pressure and the largest negative pressure for the design of the building.

Asce 7 Wind Example

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Page 1: 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.

Page 2: Asce 7 Wind Example

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.

Page 3: Asce 7 Wind Example

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

.

Page 4: Asce 7 Wind Example

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)

Page 5: Asce 7 Wind Example

()(

)(

)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,

Page 6: Asce 7 Wind Example
Page 7: Asce 7 Wind Example

()(

)()

()

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.

Page 8: Asce 7 Wind Example

()(

)()(

)()

()

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.

Page 9: Asce 7 Wind Example

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

Page 10: Asce 7 Wind Example

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).

Page 11: Asce 7 Wind Example

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.

Page 12: Asce 7 Wind Example

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.

Page 13: Asce 7 Wind Example

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.

Page 14: Asce 7 Wind Example

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:

Page 15: Asce 7 Wind Example

() (

)(

)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:

Page 16: Asce 7 Wind Example

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

.

Page 17: Asce 7 Wind Example

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:

Page 18: Asce 7 Wind Example

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

:

Page 19: Asce 7 Wind Example

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

Page 20: Asce 7 Wind Example

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

,

Page 21: Asce 7 Wind Example

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

Page 22: Asce 7 Wind Example

Thes

e ar

e th

e C

&C

roo

f coe

ffici

ents

,

Page 23: Asce 7 Wind Example

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

Page 24: Asce 7 Wind Example

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

Page 25: Asce 7 Wind Example

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

Page 26: Asce 7 Wind Example

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

Page 27: Asce 7 Wind Example

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

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