Cálculo de Lajes.xlsx

7/23/2019 Clculo de Lajes.xlsx

1/49


2/49


3/49


4/49

3,5

5m

5,00 m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m

Agressividade = Urbano

! = ".55

# = 5.00

$ ="55

= %.%&5 cm = '.00 cm(0

E =5.00

= ).()".55

2(.0 5).0 )0.) )2.6 0.")& 0.)%" 0.&)(

M! =q . *!+

= ".( kN.mm!

M# =q . *!+

= ).6 kN.m

m#

N! =q . *!+

= %.) kN.mn!

N# =q . *!+

= 6.5 kN.mn#

,) . q . ! = &." kN/m

,2 . q . ! = (.2 kN/m

," . q . ! = )6.5 kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 1


5/49

,( . q . ! = ".0 kN/m

f = )0"2." = 0.002%"& = 0.2%(cs . $ . "6"'2(.)

16 = = )2".&%5 K3 = 0."(0m!

16 = = 26".0(" K3 = 0.""0m#

16 = = 52.0'" K3 = 0."6'n!

16 = = 6(.'%& K3 = 0."5%n#

As =1" . M!

= ).&%5 cm/m)0 d

As = 1" . M# = 0.%)5 cm/m)0 d

As =1" . N!

= (.60( cm/m 3)245mm a cada 2&cm)0 d

As =1" . N#

= ".5%) cm/m)0 d

-(=

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

364"mm a cada )&cm

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

3)040mm a cada 22cm


6/49

0.)") 2".(5)

v(


7/49

cm

cm


8/49

3,5

5m

5,00 m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = 5.00

# = ".55

$ ="55

= %.%&5 cm = '.00 cm(0

E =".55

= 0.&)5

)05." 55." 26.2 22.5 0.)(" 0.222 0.2(&

M! =q . *!+

= ).5 kN.mm!

M# =q . *!+

= 2.' kN.m

m#

N! =q . *!+

= 6.2 kN.mn!

N# =q . *!+

= &.2 kN.mn#

,) . q . ! = (.6 kN/m

,2 . q . ! = &.2 kN/m

," . q . ! = %.0 kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 2


9/49

f =(062.5

= 0.002(0) = 0.2(0

cs . $ . )6')'%).0

16 = = 2&".&%0 K3 = 0.""0m!

16 = = )(".&%0 K3 = 0.""&m#

16 = = 6%.)20 K3 = 0."5%n!

16 = = 5%.500 K3 = 0."6"n#

As =1" . M!

= 0.&%" cm/m)0 d

As =1" . M#

= ).52( cm/m

)0 d

As =1" . N!

= ".()6 cm/m)0 d

As =1" . N#

= (.0"" cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

364"mm a cada 20cm

364"mm a cada 'cm

364"mm a cada &45cm


10/49

)0'.0"


11/49

cm

cm


12/49

3,5

5m

2,30m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = 2."0

# = ".55

$ =2"0

= 5.&50 cm = %.00 cm(0

E =".55

= ).5(2."

2&.6 &5.2 )2.5 )&.5 0.)(( 0."6' 0.25

M! =q . *!+

= ).2 kN.mm!

M# =q . *!+

= 0.5 kN.m

m#

N! =q . *!+

= 2.% kN.mn!

N# =q . *!+

= 2.0 kN.mn#

,) . q . ! = 2.2 kN/m

,2 . q . ! = 5.5 kN/m

," . q . ! = ".& kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 3


13/49

f =)%).'

= 0.000(65 = 0.0(6

cs . $ . "')((2."

16 = = 2(2.%0' K3 = 0."")m!

16 = = 66).56% K3 = 0."25m#

16 = = )0'.'6% K3 = 0."()n!

16 = = )5".'55 K3 = 0.""5n#

As =1" . M!

= 0.&50 cm/m)0 d

As =1" . M#

= 0.2&0 cm/m

)0 d

As =1" . N!

= ).&05 cm/m)0 d

As =1" . N#

= ).)'& cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

364"mm a cada )%cm

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26


14/49

"5.')5


15/49

cm

cm

cm

cm


16/49

3,5

5m

4,00m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = (.00

# = ".55

$ ="55

= %.%&5 cm = '.00 cm(0

E =".55

= 0.%'(

5(." 55.( )%.) )%.& 0.)(( 0.2%) 0.25

M! =q . *!+

= ).' kN.mm!

M# =q . *!+

= ).' kN.m

m#

N! =q . *!+

= 5.& kN.mn!

N# =q . *!+

= 5.6 kN.mn#

,) . q . ! = ".& kN/m

,2 . q . ! = &." kN/m

," . q . ! = 6.5 kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 4


17/49

f =)66(.0

= 0.00)6'5 = 0.)&0

cs . $ . '%)("5.'

16 = = 220.5'( K3 = 0."")m!

16 = = 225.06" K3 = 0."")m#

16 = = &".5") K3 = 0."5"n!

16 = = &5.'6' K3 = 0."52n#

As =1" . M!

= 0.'&5 cm/m)0 d

As =1" . M#

= 0.'56 cm/m

)0 d

As =1" . N!

= ".)20 cm/m)0 d

As =1" . N#

= ".0)2 cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

3)040mm a cada 25cm

3)040mm a cada 26cm


18/49

6".2("


19/49

cm

cm

cm


20/49

3,5

5m

4,30m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = (."0

# = ".55

$ ="55

= %.%&5 cm = %.00 cm(0

E =".55

= 0.%"(."

6)." 5(." )'.5 )'.2 0.)(( 0.26% 0.25

M! =q . *!+

= 2.0 kN.mm!

M# =q . *!+

= 2.2 kN.m

m#

N! =q . *!+

= 6.2 kN.mn!

N# =q . *!+

= 6." kN.mn#

,) . q . ! = (.0 kN/m

,2 . q . ! = &.5 kN/m

," . q . ! = &.0 kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 5


21/49

f =2222.2

= 0.002%'5 = 0.2%'

cs . $ . &6&625.'

16 = = )5(.2%' K3 = 0.""5m!

16 = = )"6.6&) K3 = 0.""%m#

16 = = ('.0%) K3 = 0."&(n!

16 = = (%."25 K3 = 0."&(n#

As =1" . M!

= ).)'( cm/m)0 d

As =1" . M#

= )."60 cm/m

)0 d

As =1" . N!

= (.)') cm/m)0 d

As =1" . N#

= (.25& cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

364"mm a cada 22cm

3)0400mm a cada )'cm

3)0400mm a cada )%cm


22/49

&0.("


23/49

cm

cm


24/49

3,5

5m

2,20m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = 2.20

# = ".55

$ =220

= 5.500 cm = %.00 cm(0

E =".55

= ).6)2.2

20.' 55.0 '.2 )2." 0.")& 0.)%" 0.("6

M! =q . *!+

= ).5 kN.mm!

M# =q . *!+

= 0.6 kN.m

m#

N! =q . *!+

= ".( kN.mn!

N# =q . *!+

= 2.6 kN.mn#

,) . q . ! = (.5 kN/m

,2 . q . ! = 2.6 kN/m

," . q . ! = 6.2 kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 6


25/49

,( . q . ! = ".6 kN/m

f =)52."

= 0.0006&% = 0.06%cs . $ . 22(&(0.)

16 = = 200.'62 K3 = 0."""m!

16 = = 52%.%(6 K3 = 0."26m#

16 = = %%.(62 K3 = 0."(&n!

16 = = ))%.26' K3 = 0."(0n#

As =1" . M!

= 0.')) cm/m)0 d

As =1" . M#

= 0.""' cm/m)0 d

As =1" . N!

= 2.)5& cm/m)0 d

As =1" . N#

= ).5%) cm/m)0 d

-(=

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

364"0mm a cada )(cm

364"0mm a cada )'cm


26/49

0.252 20.62

v(


27/49

cm

cm

cm


28/49

4,7

5m

5,00m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = (.&5

# = 5.00

$ =(&5

= )).%&5 cm = )2.00 cm(0

E =5.00

= ).05(.&5

(0.2 (0.2 )(." )(." 0.")& 0.)%" 0.")&

M! =q . *!+

= ".6 kN.mm!

M# =q . *!+

= ".6 kN.m

m#

N! =q . *!+

= )0." kN.mn!

N# =q . *!+

= )0." kN.mn#

,) . q . ! = '.% kN/m

,2 . q . ! = 5.& kN/m

," . q . ! = '.% kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 7


29/49

,( . q . ! = 5.& kN/m

f =""0%.'

= 0.00226& = 0.22&cs . $ . )(5'&22.)

16 = = 2(&."%5 K3 = 0.""0m!

16 = = 2(&."%5 K3 = 0.""0m#

16 = = %%.000 K3 = 0."(&n!

16 = = %%.000 K3 = 0."(&n#

As =1" . M!

= ).26& cm/m)0 d

As =1" . M#

= ).26& cm/m)0 d

As =1" . N!

= ".&(6 cm/m)0 d

As =1" . N#

= ".&(6 cm/m)0 d

-(=

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

364"0mm a cada 2(cm

364"0mm a cada 2(cm

3)0400mm a cada 2)cm



30/49

0.)%" "'.6%"

v(


31/49

cm


32/49

4,7

5m

3,00m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = ".00

# = (.&5

$ ="00

= &.500 cm = %.00 cm(0

E =(.&5

= ).5%"

26.6 &%.& )2." )&.5 0.)(( 0."&& 0.25

M! =q . *!+

= 2.2 kN.mm!

M# =q . *!+

= 0.& kN.m

m#

N! =q . *!+

= (.% kN.mn!

N# =q . *!+

= "." kN.mn#

,) . q . ! = 2.% kN/m

,2 . q . ! = &.( kN/m

," . q . ! = (.' kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 8


33/49

f =526.5

= 0.00)"'" = 0.)"'

cs . $ . "&&'&).0

16 = = )"&.5(& K3 = 0.""&m!

16 = = (06.'5" K3 = 0."2&m#

16 = = 6".60" K3 = 0."5'n!

16 = = '0.(') K3 = 0."(&n#

As =1" . M!

= )."(% cm/m)0 d

As =1" . M#

= 0.((2 cm/m

)0 d

As =1" . N!

= ".)0( cm/m)0 d

As =1" . N#

= 2.)0' cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

364"0mm a cada 22cm

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

3%400mm a cada )6cm

364"0mm a cada )(cm


34/49

"(.6&'


35/49

cm

cm


36/49

4,7

5m

3,30m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = "."0

# = (.&5

$ =""0

= %.250 cm = '.00 cm(0

E =(.&5

= ).(("."

2'.0 &).' )2.% )&.5 0.)(( 0."5' 0.25

M! =q . *!+

= 2.( kN.mm!

M# =q . *!+

= ).0 kN.m

m#

N! =q . *!+

= 5.5 kN.mn!

N# =q . *!+

= (.0 kN.mn#

,) . q . ! = ".) kN/m

,2 . q . ! = &.& kN/m

," . q . ! = 5.( kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 9


37/49

f =&&0.%

= 0.00)""6 = 0.)"(

cs . $ . 5&&0%6.)

16 = = )&".0'5 K3 = 0.""(m!

16 = = (2'.)55 K3 = 0."2&m#

16 = = &6.(00 K3 = 0."52n!

16 = = )0(.(5( K3 = 0."("n#

As =1" . M!

= ).25( cm/m)0 d

As =1" . M#

= 0.('5 cm/m

)0 d

As =1" . N!

= 2.''5 cm/m)0 d

As =1" . N#

= 2.)"( cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

364"0mm a cada 25cm

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

3%400mm a cada )6cm

3%400mm a cada 2"cm


38/49

"&.)%&


39/49

cm

cm


40/49

4,7

5m

5,00m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = 5.00

# = (.&5

$ =(&5

= )).%&5 cm = )2.00 cm(0

E =(.&5

= 0.'55

(%.5 55.& )&.) )%.( 0.)(( 0.2'" 0.25

M! =q . *!+

= ".( kN.mm!

M# =q . *!+

= 2.' kN.m

m#

N! =q . *!+

= '.5 kN.mn!

N# =q . *!+

= %.% kN.mn#

,) . q . ! = (.& kN/m

,2 . q . ! = '.5 kN/m

," . q . ! = %.) kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 10


41/49

f =(062.5

= 0.00)'25 = 0.)'"

cs . $ . 2))0"6&.6

16 = = 26'."62 K3 = 0.""0m!

16 = = "0'."(' K3 = 0."2'm#

16 = = '(.'&) K3 = 0."(6n!

16 = = )02.)') K3 = 0."((n#

As =1" . M!

= ).)6( cm/m)0 d

As =1" . M#

= ).0)0 cm/m

)0 d

As =1" . N!

= ".(6) cm/m)0 d

As =1" . N#

= ".)'% cm/m)0 d

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

3)0400mm a cada 2"cm

3)0400mm a cada 25cm


42/49

5&."&)


43/49

cm

cm

cm


44/49

4,7

5m

1,50m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = ).50

# = (.&5

$ =)50

= ".&50 cm = %.00 cm(0

E =(.&5

= ".)&).5

M =q . *!+

= 0.6 kN.m2(

N =q . *!+

= 7).2 kN.m)2

16 = = ('6.()0 K3 = 0."26M

16 = = 2(%.205 K3 = 0.""0N

As =1" . M

= 0."6) cm/m)0 d

Espaamento mnimo = 2 x h ou 20cm = (6,3mm a cada 16cm - 1,96cm/m

As = 1" . N = 0.&") cm/m)0 d

)05. bw . d

)05. bw . d

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

*Asmnimo

+ = )420cm/m 7 364"mm a cada 26

!s"

= 0,2 x 1,96 = 0,392 ou 0,90cm/m (o meno# = !s"

= 0,392 ($,0mm a cada 30cm

LAJE 11


45/49

cm

cm


46/49

4,7

5m

5,00m

fck = 20 Mpa

CA = 50

q = 6.5 kN/m


! = (.&5

# = 5.00

$ =(&5

= )).%&5 cm = )2.00 cm(0

E =5.00

= ).05(.&5

(0.2 (0.2 )(." )(." 0.")& 0.)%" 0.")&

M! =q . *!+

= ".6 kN.mm!

M# =q . *!+

= ".6 kN.m

m#

N! =q . *!+

= )0." kN.mn!

N# =q . *!+

= )0." kN.mn#

,) . q . ! = '.% kN/m

,2 . q . ! = 5.& kN/m

," . q . ! = '.% kN/m

m! m# n! n# v) v2 v"

-)=

-2=

-"=

LAJE 12


47/49

,( . q . ! = 5.& kN/m

f = ""0%.' = 0.00226& = 0.22&cs . $ . )(5'&22.)

16 = = 2(&."%5 K3 = 0.""0m!

16 = = 2(&."%5 K3 = 0.""0m#

16 = = %%.000 K3 = 0."(&n!

16 = = %%.000 K3 = 0."(&n#

As =1" . M!

= ).26& cm/m)0 d

As = 1" . M# = ).26& cm/m)0 d

As =1" . N!

= ".&(6 cm/m)0 d

As =1" . N#

= ".&(6 cm/m)0 d

-(=

q . *!+(

)05. bw . d

)05. bw . d

)05. bw . d

)05. b . d

364"0mm a cada 2(cm

364"0mm a cada 2(cm




48/49

0.)%" "'.6%"

v(


49/49

cm

Cálculo de Lajes.xlsx

Documents

Transcript of Cálculo de Lajes.xlsx