2 Way Slab Thickness for Panels With or Without Beams

ACI 318R-14, ( 8.3.1.2) Determination of 2 way slab t in"%t

fy =

60000

Interior Panel dimensions =

Long direction =

24

Short direction =

20

Column dimensions = Beam Dimensions,  ! h =

20 "6

#ssume sla thic$ness, Perimeter%"&0 =

'(&6666666)

&' 1

let, h= Beam moment of inertia, I  =

&' 2 I =

224'(4" Sla moment of inertia, I s =

&' 3 Is =

 Is =

*h+-%"2 inch4 *h+-%"2

in long direction,

=

6&60

inch4

in short direction,

=

&22

inch4

elati7e Sti8ness of eam and sla, 9 = *5i - %

&' 4

9l = in short direction, 9s = in long direction,

9m =

&' *

)

a7g( of 9 for all eams on the edges of a gi7en :anel

(2) 2()

(00

/II/1/ SL#B 3IC5SS, inch

h min +

.28

i!ness for interior "anels with same beams on all e#$es

ft ft inch inch

; ;

inch inch  

*#d+2-

20

ft

24

ft

*5is-

inh

20 22

inch inch

I'RIR /A0 < = hf  =

"6

inch

)

inch

!= y=

"' "'

inch inch

, e8 =

46

inch

4hf =

2&

  >eam, ? =

"(&0

inch

long clear s:an =

22(

ft

short clear s:an =

"&(

ft

=

"(2"&"&"&

inch

y



! = y = less than 4h f 

ACI 318R-14, ( 8.3.1.2) Determination of 2 way sl in"%t

fy =

60000

Interior Panel dimensions =

Long direction =

24

Short direction =

20

&' 1

Column dimensions = Interior Beam Dimensions,  ! h = 5!terior Beam dimensions,  ! h =

20 "6 "2

#ssume sla thic$ness, Perimeter%"&0 =

'(&)

let, h= Beam moment of inertia, I  =

&' 2

) *h+-%"2

interior

I =

224'(4"

inch4

eterior

I =

"'02(6

inch4

Sla moment of inertia, I s =

&' 3

*h+-%"2

Is =

in long direction, * eam 2 @ 4-

=

Is =

6&60

inch4

 Is =

in short direction, * eam -

=

Is =

&22

inch4

 Is =

:arallel to edge eam, * eam "-

=

Is =

440"(&

inch4

elati7e Sti8ness of eam and sla, 9 = *5i - % *5is

&' 4

in long direction, in short direction,

9s

:arallel to edge eam, 9m =

9l *eams 2 @ 4- =

(2)

*eam - =

2()

e * eam "- =

(4&

a7g( of 9 for all eams on the edges of a gi7en :anel

("A

&' *

/II/1/ SL#B 3IC5SS, inch

h min +

.28

b thi!ness for interior "an

ft ft inch inch inch

; ;

inch inch  

*#d+2-

-

20

ft

24

ft

"2(&

ft

20 22 22

inch inch inch

inh

ls with beams on all e#$es

< = hf  =

"2

!= y=

"' "'

, e8 =

2)

 >eam, ? =

"("

)

long clear s:an = short clear s:an =

=

< = hf  = != y=

, e8 =

 >eam, ? =

D /A0 inch inch

4hf =

2&

inch

inch inch

h !

inch

< inch 22(

ft

"&(

ft

! = y = less than 4h f 

"(2"&"&"&

I'RIR /A0 "6

inch

)

inch

"'

inch

"'

inch

46

inch

4hf =

2&

inch

 y

"(&0

inch

! = y = less than 4h f 

hf 

y

& DR D5 0 6R A f y, "si + 4 Dro" "anel ty"e + anel + $#e /eam +

5ith $ro" "anels Interior anel one

Long direction s:an = Colm dim( Parallel to long s:an of sla =

Clear s:an in long direcn

ln

=

24 20

22(

0inim%m &lab thi!ness, in +

.9

9.

7 ARA0R& :si

I'

ft inch

inch

inh *rounded u: to nearest 0(' inch-

0A:I00 of I'7R the form%la or s"ei;e$
ithout dr ith dro: 5!terior :a Interior Pa ithout 5d ith 5dge one

5itho%t Dro" anels Interior terior anels anels 6y , "si 40000 60000 )'000

5itho%t $#e /eams

5ith $#e /eams

5ith Dro" a terior anels 5itho%t $#e /eams

5ith $#e /eams

&("2"2"2 )(444444 )(444444 )(444444 6() &(A &("2"2"2 &("2"2"2 &("2"2"2 )(444444 A(')"42A &(64'"6" &(64'"6" &(64'"6" )(&&2'

 

 

: :anels anels nel el ge Beams Beams

els Interior anels

6() )(444444 )(&&2'