33
Common Materials Structural Steel AISC 360 IBC Chapter 22 Fy = 50,000 psi (W and HSS shapes); 36,000 psi (angles, channels) E = 29,000,000 psi Standard Shapes – W, C, HSS, L Reinforced Concrete AISC 318 and 301 IBC Chapter 19 f’c = 3,000 psi to 6,000 psi Fy (steel) = 60,000 psi Typically non-standard shapes Flexural and Shear Reinforcement Shrinkage and temperature Reinforcement Cover

es, channels) Common Materials Structural Steel AISC … vs. ASD Load Resistance Factor Design Ultimate Strength Method Factors placed on Loads and Stressed to Capacity Live Load =

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Common Materials

Str

uct

ura

l Ste

el

AIS

C 3

60

IBC

Ch

ap

ter

22

Fy

= 5

0,0

00

psi

(W

an

d H

SS

sh

ap

es)

; 36

,00

0 p

si (

an

gle

s, c

ha

nn

els

)

E =

29

,00

0,0

00

psi

Sta

nd

ard

Sh

ap

es

–W

, C, H

SS

, L

Re

info

rce

d C

on

cre

te

AIS

C 3

18 a

nd

30

1

IBC

Ch

ap

ter

19

f’c

= 3

,00

0 p

si t

o 6

,00

0 p

si

Fy

(ste

el)

= 6

0,0

00

psi

Ty

pic

ally

no

n-s

tan

da

rd s

ha

pe

s

Fle

xura

l an

d S

he

ar

Re

info

rce

me

nt

Sh

rin

ka

ge

an

d t

em

pe

ratu

re R

ein

forc

em

en

t

Co

ver

Common Materials

Re

info

rce

d M

aso

nry

AIS

C 5

30

IBC

Ch

ap

ter

21

f’m

= 1

,50

0p

si t

o 3

,00

0 p

si

Fy

(ste

el)

= 6

0,0

00

psi

Co

mp

osi

te p

rop

ert

ies

of

cmu

, gro

ut,

mo

rta

r a

nd

ste

el

Re

info

rce

me

nt

can

be

at

face

or

cen

tere

d in

wa

ll

Bo

nd

be

am

s

Wo

od Na

tio

na

l De

sig

n S

pe

cifi

cati

on

(N

DS

)

IBC

Ch

ap

ter

23

Un

iqu

e d

esi

gn

me

tho

ds

du

e t

o n

on

-un

ifo

rm p

rop

ert

ies

(Fb

, Fv,

Fc ll

, Fc,

Fc b bbb

, Em

in)

Sectional Properties

Mo

me

nt

of

Ine

rtia

(I)

= b

h3 /1

2

Se

ctio

na

l Mo

du

lus

(S)

= I/

c

c =

h/2

Are

a (

A)

= b

h

Ra

diu

s o

f g

yra

tio

n (

r) =

[I/

A]1/

2

b

h

Foundations

De

ep

Ca

isso

ns

(Dri

lled

Pie

r)A

ug

er-

cast

Pile

s

Lo

ad

Tra

nsf

er

Ty

pe

s

Oth

er

Ty

pe

s: M

icro

-pile

s, d

rive

n p

iles

Foundations

Sh

allo

w

Wa

ll F

oo

tin

g

Dif

fere

nti

al S

ett

lem

en

t

So

il S

tab

iliza

tio

n –

Ag

gre

ga

te P

iers

, CM

Cs,

So

il C

om

pa

ctio

n, e

tc.

Gravity Forces/Systems

Liv

e, S

no

w, D

ea

d, S

oil,

an

d H

yd

rost

ati

c

Liv

e L

oa

d R

ed

uct

ion

(L

LR

)

LL

R =

Lo[2

5 +

15

/(K

LLA

T)]

1/2

Lo

= U

nre

du

ced

Liv

e L

oa

d

AT

= T

rib

uta

ry A

rea

KL

L=

Liv

e L

oa

d E

lem

en

t F

act

or

Fle

xure

: Fb

= M

/S

Sh

ea

r: F

v=

V/A

De

fle

ctio

n:

∆ ∆∆∆

wL

2/8

wL

/2

5w

L4(1

2)3 /3

84

EI

Un

ifo

rm L

oa

d

Vle

ft=

Pb

/L

Vri

gh

t=

Pa

/L

PL

3 (12

)3 /48

EI

(P a

t ce

nte

r o

f b

ea

m: a

=b

)

Pa

b/L

Po

int

Lo

ad

P

ba

L

Beams

Tru

sse

s / J

ois

ts

Kin

g P

ost

Tru

ssP

ratt

Tru

ss

Ho

we

Tru

ss

Sta

nd

ard

Ste

el J

ois

t

Beams

Co

mp

osi

te B

ea

ms

ST

EE

L

SIP

s P

an

els

Oth

er

Ty

pe

s In

clu

de

:

Pre

-str

ess

ed

an

d P

ost

-Te

nsi

on

ed

Co

ncr

ete

Sta

nd

ard

Re

info

rce

d C

on

cre

te

Re

info

rce

d M

aso

nry

Columns

f c=

P/A

f cis

de

pe

nd

en

t u

po

n

Sle

nd

ern

ess

Ra

tio

= K

L/r

Sm

alle

r w

ill in

cre

ase

th

e f

c

K -

Eff

ect

ive

Le

ng

th F

act

or

LRFD vs. ASD

Lo

ad

Re

sist

an

ce F

act

or

De

sig

n

Ult

ima

te S

tre

ng

th M

eth

od

Fa

cto

rs p

lace

d o

n L

oa

ds

an

d S

tre

sse

d t

o C

ap

aci

ty

Liv

e L

oa

d =

1.6

an

d D

ea

d L

oa

d =

1.2

Allo

wa

ble

Str

ess

De

sig

n

Me

mb

er

stre

sse

d t

o p

erc

en

tag

e o

f yi

eld

str

ess

Ste

el:

Fb

= 0

.66

Fy

an

d F

y=

0.4

0 F

y

Wo

od

: Du

rati

on

Fa

cto

rs (C

d):

Liv

e =

1.0

, De

ad

= 0

.9, W

ind

= 1

.6, S

no

w =

1.2

Ind

ust

ry h

as

mo

ved

to

LR

FD

Loads vs. Structural Systems

WO

OD

BE

AM

S/

JOIS

TS

ST

EE

L A

ND

CO

NC

RE

TE

JO

IST

S

ON

E-W

AY

CO

NC

RE

TE

(SL

AB

S A

ND

BE

AM

S)

ST

EE

L B

EA

M

CO

MP

OS

ITE

ST

EE

L B

EA

MS

TW

O-W

AY

CO

NC

RE

TE

SY

ST

EM

S

LO

NG

SP

AN

TR

US

SE

S

LO

AD

INC

RE

AS

E

Basement and Retaining Walls

Ba

sem

en

t W

all

Re

tain

ing

Wa

ll

Sim

ple

sp

an

can

tile

ver

Wind

Ma

in W

ind

Fo

rce

Re

sist

ing

Sy

ste

ms

vs. C

om

po

ne

nts

an

d

Cla

dd

ing

Lo

ad

s a

re b

ase

d u

po

n h

isto

rica

l an

aly

sis

an

d p

rob

ab

ility

90

pe

rce

nt

of

U.S

. de

sig

ne

d f

or

90

mp

h

Fa

cto

rs w

hic

h a

ffe

ct p

ress

ure

:

Sp

eci

al c

on

sid

era

tio

ns:

Pre

ssu

res

incr

ea

se w

ith

bu

ildin

g h

eig

ht

No

n-e

ncl

ose

d s

tru

ctu

res,

esc

arp

me

nts

, pa

rap

ets

,

ove

rha

ng

s, e

tc.

Imp

ort

an

ce f

act

or

Bu

ildin

g h

eig

ht

Wa

ll/ro

of

zon

es

(co

mp

./cl

ad

din

g)

Exp

osu

re C

ate

go

ry

Wind

Win

d b

ase

sh

ea

r (V

) =

win

d a

rea

x w

ind

pre

ssu

re

Win

dw

ard

an

d le

ew

ard

pre

ssu

res

are

incl

ud

ed

Co

llect

ed

at

the

flo

or

dia

ph

rag

ms

�h

ttp

s://

cou

rse

s.ci

t.co

rne

ll.e

du

/arc

h2

64

/ca

lcu

lato

rs/s

eis

mic

-win

d/i

nd

ex.

htm

l

Seismic

Ne

ed

to

un

de

rsta

nd

:

Sit

e C

lass

A t

hro

ug

h F

Occ

up

an

cy C

ate

go

ry

Se

ism

ic D

esi

gn

Ca

teg

ory

Imp

ort

an

ce F

act

or

Se

ism

ic F

orc

e-R

esi

stin

g S

yst

em

Re

spo

nse

Mo

dif

ica

tio

n F

act

or

Se

ism

ic b

ase

sh

ea

r (V

) =

CsW

(Eq

uiv

ale

nt

La

tera

l Fo

rce

Me

tho

d)

Se

ism

ic r

esp

on

se c

oe

ffic

ien

t (C

s) =

SD

S/(

R/I

) b

ut

no

t <

0.0

1

SD

S=

De

sig

n S

pe

ctra

l Acc

ele

rati

on

R =

Re

spo

nse

Mo

dif

ica

tio

n F

act

or

I =

Se

ism

ic O

ccu

pa

ncy

Imp

ort

an

ce F

act

or

W =

Eff

ect

ive

Se

ism

ic W

eig

ht

(in

clu

de

s d

ea

d, %

of

LL

, pa

rtit

ion

, he

avy

sn

ow

loa

ds)

Lateral Forces/Systems

Bra

ced

Fra

me

sE

cce

ntr

ic B

race

d

Fra

me

Base Shear

P P P P

4P

4/3

P

P P P P

2/3

P4

/3P

2/3

P

Po

rta

l Me

tho

d

(Mo

me

nt

Fra

me

)

P-Delta (P

∆) Effect

P∆

about a structure

P-δ

eff

ect

(P

-"sm

all-

de

lta“

) , i

s a

sso

cia

ted

wit

h lo

cal d

efo

rma

tio

n

rela

tive

to

th

e e

lem

en

t ch

ord

be

twe

en

en

d n

od

es.

P-Δ

eff

ect

(P-"

big

-de

lta“

), is

ass

oci

ate

d w

ith

dis

pla

cem

en

ts r

ela

tive

to

me

mb

er

en

ds.

Diaphragms

Center of Mass and Center of Rigidity

L/2

L/2

Shear wall

Shear wall

Ce

nte

r o

f R

igid

ity

L/2

L/2

Shear wall

ShearwallC

en

ter

of

Ma

ss

> L

/2<

L/2

e

De

sig

n s

ho

uld

min

imiz

e e

cce

ntr

icit

y (e

) in

ord

er

to r

ed

uce

ad

dit

ion

al

she

ar

stre

ss a

s a

re

sult

of

tors

ion

(“t

wis

tin

g”)

Drift

Inte

r-st

ory

an

d o

vera

ll d

rift

sh

all

be

lim

ite

d f

or

serv

ice

ab

ility

re

qu

ire

me

nts

. P

rim

ary

co

nsi

de

rati

on

will

be

fa

çad

e m

ate

ria

ls.

H/4

00

fo

r m

aso

nry

fa

cad

es

H/2

00

fo

r cu

rta

in w

all,

EIF

S a

nd

me

tal p

an

el f

aca

de

s

Examples

Qu

est

ion

s o

n t

he

sa

mp

le t

est

?

Ad

dit

ion

al E

xam

ple

s…..

Example 1

12

12

AB

C

P =

75

kip

s

Example 2

12

12

AB

C

P =

75

kip

s

D

Example 2

12

12

AB

C

P =

75

kip

s

D

Example 3

6,0

00

po

un

ds

20

I = 250 in4

I = 250 in4

I = 2

50 in

4

20’

Example 4

9,0

00

po

un

ds I = 400 in4

I = 400 in4

I = 4

00

in4

20

Example 5

PP

P

AB

C

Example 6

A2L B

1 1

/2L

Example 7

A B C

Example 8

AB

Example 9

15 k

ips

5’

5’ E

= 1

,50

0,0

00

psi

I = 2

,00

0 in

4

750

po

un

ds

pe

r fo

ot

20

E =

29

,00

0,0

00

psi

I = 7

50 in

4

Example 10

Y

X

Y

X

10’15’

P