46
BAB I PRELIMINARY DESIGN I.1.DATA BANGUNAN 1. Jenis bangunan = Asrama 2. Panjang bangunan = 42 m 3. Jarak portal = 6 m 4. Lokasi bangunan = T anah lunak 5. ila!ah gempa = 4 6. "utu beton #$%&' = 22 "pa (. "utu baja #$!' = 3)* "pa +. ,imensi kolom #b=h' Lt.1 = 5* %m Lt.2 = 5* %m Lt.3 = 5* %m ). Tinggi kolom - Lt.1 = 4.25 m Lt.2 = 4.25 m Lt.3 = 4.25 m 1*. ,imensi balok = 112 L / 114 L 11. 0entang 0alok - L1 = 3 m L2 = 4.(5 m L3 = 3 m L4 = 5.5 m 12. Gambar Struktur Kantilever (K) = 1.5 m I.2.PRELIMINARY DESIGN Preliminary Design Balok a. 0alok memanjang lt.2 lt.3 #L=6**%m' 01 h = 114 L = 114 6** = 42.+6 45 b = 1 2 h = 1 2 45 = 23 25 b. 0alok melintang lt.2 lt.3 #L= 3** %m' 02 h = 114 L = 114 3** = 21.43 25 b = 1 2 h = 1 2 25 = 13 15 %. 0alok melintang lt.2 #L=5**%m' 03 h = 114 L

Reni Beton

Embed Size (px)

Citation preview

Page 1: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 1/46

BAB I

PRELIMINARY DESIGN

I.1.DATA BANGUNAN

1. Jenis bangunan = Asrama

2. Panjang bangunan = 42 m

3. Jarak portal = 6 m

4. Lokasi bangunan = Tanah lunak

5. ila!ah gempa = 4

6. "utu beton #$%&' = 22 "pa

(. "utu baja #$!' = 3)* "pa

+. ,imensi kolom #b=h' Lt.1 = 5* %m

Lt.2 = 5* %m

Lt.3 = 5* %m

). Tinggi kolom - Lt.1 = 4.25 m

Lt.2 = 4.25 m

Lt.3 = 4.25 m

1*. ,imensi balok = 112 L / 114 L

11. 0entang 0alok - L1 = 3 m

L2 = 4.(5 m

L3 = 3 m

L4 = 5.5 m

12. Gambar Struktur

Kantilever (K) = 1.5 m

I.2.PRELIMINARY DESIGN

Preliminary Design Balok

a. 0alok memanjang lt.2 lt.3 #L=6**%m' 01

h = 114 L

= 114 6** = 42.+6 ∽ 45

b = 1 2 h

= 1 2 45 = 23 ∽ 25

b. 0alok melintang lt.2 lt.3 #L= 3** %m' 02

h = 114 L

= 114 3** = 21.43 ∽ 25

b = 1 2 h

= 1 2 25 = 13 ∽ 15

%. 0alok melintang lt.2 #L=5**%m' 03

h = 114 L

Page 2: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 2/46

= 114 5** = 35.(1 ∽ 4*

b = 1 2 h

= 1 2 4* = 2* ∽ 2*

. 0alok melintang lt.2 lt.3 #L=6**%m' 04

h = 114 L

= 114 6** = 42.+6 ∽ 45

b = 1 2 h

= 1 2 45 = 2* ∽ 25

e. 0alok melintang lt.3 #L=+**%m' 05

h = 114 L

= 114 +** = 5(.14 ∽ 6*

b = 1 2 h

= 1 2 6* = 3* ∽ 3*

$. 0alok melintang lt.atap #L=11**%m' 06

h = 114 L

= 114 11** = (+.5( ∽ +*

b = 1 2 h

= 1 2 45 = 23 ∽ 4*

g. 0alok anak lt.2 lt.3 lt. atap #L=6**%m' 0(

h = 114 L

= 114 6** = 42.+6 ∽ 45

b = 1 2 h

= 1 2 45 = 23 ∽ 25

h. 0alok anak lt.2 lt.3 #L=5**%m' 0+

h = 114 L

= 114 5** = 35.(1 ∽ 4*

b = 1 2 h

= 1 2 4* = 2* ∽ 2*

Dimensi Balok

a. 0alok memanjang lt.2 lt.3 #L=6**%m' 01 = 2545

b. 0alok melintang lt.2 lt.3 #L= 3** %m' 02 = 1525

%. 0alok melintang lt.2 #L=5**%m' 03 = 2*4*

. 0alok melintang lt.2 lt.3 #L=6**%m' 04 = 2545

e. 0alok melintang lt.3 #L=+**%m' 05 = 3*6*

$. 0alok melintang lt.atap #L=11**%m' 06 = 4*+*

g. 0alok anak lt.2 lt.3 lt. atap #L=6**%m' 0( = 2545

h. 0alok anak lt.2 lt.3 #L=5**%m' 0+ = 2*4*

Page 3: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 3/46

Page 4: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 4/46

Page 5: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 5/46

BAB II

PERHITUNGAN PELAT

II.1 PERHITUNGAN PELAT ATAP

f'c = 22 Mpa

fy = 3! Mpa

 "ipe bal#k$

b %$1 $2 $3

&1 !!! 25! 5!

&2 55!! 5! 3!!! 2!! !!

&3 *5!! 5! 3!! !!

&a1 55!! 5! 2!! !!

&a2 !!! 25! 5!

 "+,- ,-$" &$/K $ be1 be2 be3 +,- ,-$ &$/K " be1 be2 be3

&1 5! ! 125

&1 15! 21! 3!!!

&3 1!!*.3 1!2! 225 &a1 155 212! 55!

&

&3 1!!*.3 1!2! 15

&

&1 15!! 21! 3!!!

&a1 5! 212! 3!5!&a2 1!! 212! 25!

0

&3 1!!*.3 1!2! 255!

0

&1 15! 21! 3!!!

&a2 15! 21! 3!!!

&a1 13*.5 212! *!!

Page 6: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 6/46

&$/K "+,- ,-$" $ $y $n $ny t % b b- K  

&1

3!!! 55!!

25! 525! 1.! 12! 5! 25! 5! 2.22

&1 25! 525! 1.! 12! 5! 25! 15! 2.*

&3 25! 525! 1.! 12! !! 3!! 1!!*.333 2.

&a1 25! 525! 1.! 12! !! 2!! 155 2.

&a2

& 3!!! 3!!!

25! 25! 1 12! !! 2!! 1!! 2.3

&1 25! 25! 1 12! 5! 25! 5! 2.3*

&3 25! 25! 1 12! !! 3!! 1!!*.333 2.

&a1 25! 25! 1 12! !! 2!! 5! 2.1

&1

0 3!!! 5!

25! 5!! 1.3 12! 5! 25! 15! 2.*!

&a2 25! 5!! 1.3 12! 5! 25! 15! 2.*!

&3 25! 5!! 1.3 12! !! 3!! 1!!*.333 2.*

&a1 25! 5!! 1.3 12! !! 2!! 13*.5 2.2

&a1

4 2!!! 55!!

15! 525! 3.!!!

&1 15! 525! 3.!!! % min =

&a1 15! 525! 3.!!!

&3 15! 525! 3.!!!

Page 7: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 7/46

 "+,- (beb61) & (t%)

1 2 !.2

2 !.2

3 2.3 !.2

.** !.3

 "+,- & (beb61) & (t%)

1 .5 !.3

2 2.* !.23 2.3 !.2

3.5 !.3

 "+,- 0 (beb61) & (t%)

1 !.2

2 !.2

3 2.3 !.2

5. !.3

Page 8: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 8/46

+b +p 7 % min  8eni9 pelat

51*25!!!! 5!!!!!! .*3-:!! 1!.

;ua ara%531225!!!! 5!!!!!! .!2-:!! 1!.

1!*!!!!!! 3!!!!!! .!2-:!1 1!.

22*. 3!!!!!! .3-:!! 1!.

7 m 1.5-:!1

2. 3!!!!!! .1 5.13

;ua ara%51!5!!!! 3!!!!!! 13.12 5.13

1!*!!!!!! 3!!!!!! !.21 5.13

2*3*. 3!!!!!! .1* 5.13

7 m 1.!*

531225!!!! *!!!!!! *.1* 5.*!

;ua ara%531225!!!! *!!!!!! *.1* 5.*!

1!*!!!!!! 3!!!!!! !.21 5.*!

2!1. 3!!!!!! .32 5.*!

7 m 1.!*

9atu ara%$21

5.2

Page 9: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 9/46

II.2 PERHITUNGAN PELAT LANTAI 2 DAN LANTAI 3

f'c 22 Mpa

fy 3! Mpa

 "ipe bal#k$

b %$1 $2 $3

&1 !!! 25! 5!

&2 55!! 5! 3!!! 3!! !!

&3 *5!! 5! 3!! !!

&a1 55!! 5! 2!! !!

&a2 !!! 25! 5!

 "+,- ,-$" &$/K " be1 be2 be3 "+,- - (beb61) & (t%)

1 !.2

-

&1 15! 21! 3!!! 2 !.2

&2 15 222! 555! 3 .5* !.3

&a1 155 212! 55! .** !.3

 "+,- < (beb61) & (t%)

<

&1 15! 21! 3!!! 1 !.2

&2 1!5! 222! 3!5! 2 !.2

3 2.5 !.3

2.5 !.3

G

&1 15! 21! 3!25 "+,- G (beb61) & (t%)

&2 5! 212! 5! 1 !.2&a1 13*.5 212! 5! 2 !.2

3 3.5 !.3

&1 15! 5! 2!!! 5. !.3

&2 15 222! 355! "+,- (beb61) & (t%)

&a1 155 212! 35! 1 .*5! !.3

2 !.2

3 .*5 !.3

.5*3 !.3

Page 10: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 10/46

Balok   "+,- ,-$" $ $y $n $ny t % b b- K  

&1

- 3!!! 55!!

25! 525! 1.!1 12! 5! 25! 15! 2.*

&1 25! 525! 1.!1 12! 5! 25! 15! 2.*

&2 25! 525! 1.!1 12! !! 3!! 15 2.*

&a1 25! 525! 1.!1 12! !! 2!! 155 2.

&1

< 3!!! 3!!!

25! 25! 1 12! 5! 25! 15! 2.*

&1 25! 25! 1 12! 5! 25! 15! 2.*

&2 25! 25! 1 12! !! 3!! 1!5! 2.2*

&a1 25! 25! 1 12! !! 3!! 1!5! 2.2*

&1

G 3!!! 5!

25 5! 1.!3 12! 5! 25! 15! 2.*

&1 25 5! 1.!3 12! 5! 25! 15! 2.*

&2 25 5! 1.!3 12! !! 2!! 5! 2.1

&a1 25 5! 1.!3 12! !! 2!! 13*.5 2.2!

&a1

2!!! 35!!

15! 325! 1.*51 12! !! 2!! 155 2.

&1 15! 325! 1.*51 12! 5! 25! 15! 2.*

&a1 15! 325! 1.*51 12! !! 2!! 155 2.

&2 15! 325! 1.*51 12! !! 3!! 15 2.*

Page 11: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 11/46

II.2.1 BALOK KANTILEVER

 "+,- ,-$" &$/K " be1 be2 be3 "+,- K (beb61) & (t%)

+

&1 35 ! 12!! 1 1.5 !.2

&2 5! ! 2*5 2 1. !.3

&2 5! ! 2*5 3 1. !.3

&1 25 21! 15! "+,- / (beb61) & (t%)

&2 *!! 222! 215 1 1.5 !.2

&2 *!! 222! 215 2 1.25 !.225

M

&1 5! ! 135!

&1 ! ! 135!

&2 35 ! 25!

/&1 25 1*! 1!!

&2 5 1! 15

Balok   "+,- ,-$" $ $y $n $ny t % b b- K  

&1

+ 15!! 3!!!

12!! 2*5 2.! % min =$21

&2 12!! 2*5 2.! 1.3

&2 12!! 2*5 2.!

&1

 > 15!! !!!

12!! 3*5 3.23 % min =$21

&2 12!! 3*5 3.23 1.3

&2 12!! 3*5 3.23

&1K 15!! 2!!!

12!! 1*5 1.5 12! 5! 25! 25 2.13&2 12!! 1*5 1.5 12! !! 3!! *!! 2.!5

&2 12!! 1*5 1.5 12! !! 3!! *!! 2.!5

&1

$ 15!! 55!!

135! 525! 3.* % min =$21

&1 135! 525! 3.* 1.3

&2 135! 525! 3.*

&1

M 15!! 3!!!

135! 25! 2.! % min =$21

&1 135! 25! 2.! 1.3

Page 12: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 12/46

&2 135! 25! 2.!

&1

? 15!! 5!

135! 5!! 3.33 % min =$21

&1 135! 5!! 3.33 1.3

&2 135! 5!! 3.33

&1/ 15!! 15!!

135! 135 1.!2 ! 5! 25! 25 2.2

&2 135! 135 1.!2 ! !! 3!! 5 2.*

Page 13: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 13/46

Page 14: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 14/46

+b +p 7 % min  8eni9 pelat

531225!!!! 5!!!!!! .!2 1!.

;ua ara%531225!!!! 5!!!!!! .!2 1!.

2!!!!!! 3!!!!!! 1!.*3 1!.

22* 3!!!!!! .3 1!.

7 m *.!3

531225!!!! 3!!!!!! 13.15 5.12

;ua ara%531225!!!! 3!!!!!! 13.15 5.12

2!!!!!!! 3!!!!!! 1!.1 5.12

2!!!!!!! 3!!!!!! 1!.1 5.12

7 m 12.!15

531225!!!! !*!!!!! *.2! 5.1*

;ua ara%531225!!!! !*!!!!! *.2! 5.1*

2*3* 3!!!!! .1! 5.1*

2!1 3!!!!! .21 5.1*

7 m .3

22* *!!!!!! .25* .3

;ua ara%531225!!!! *!!!!!! 11.351 .3

22* 252!!!!!! 11.22 .3

2!!!!!! 252!!!!!! 1.!! .3

7 m 11.5*

Page 15: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 15/46

+b +p 7 % min  8eni9 pelat

9atu ara%

9atu ara%

515!25!!!! 2!!!!!!! 1.!5 2.3;ua ara%1*!!!!!! 12*!!!!! 2.12! 2.3

1*!!!!!! 12*!!!!! 2.12! 2.3

7 m 22.3

9atu ara%

9atu ara%

Page 16: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 16/46

 

9atu ara%

521525! *353125! .55 2.35;ua ara%

5**125! *2!125!! 55.2* 2.35

7 m 1.3

Page 17: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 17/46

TABEL PERHITUNGAN PELAT ATAP

Fc = 22 Mpa 0.00359 b Pelat =

Fy = 390 Mpa  ρb = 0.02470 h Pelat =

0.01853

0.00185

Pelat Dua Arah

TypeDaerah Ly/l

!u Ly L"

M # h $ %&

Pelat '()/*+, '*, '*, '-)*, '**, '**, '**, '/**2,

A

Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95 0.303

Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85 0.123

Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95 0.20

Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85 0.539

B

Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95 0.159

Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85 0.198

Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95 0.393

Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85 0.491

C

Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95 0.280

Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85 0.151

Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95 0.598

Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85 0.539

Pelat Satu Arah

TypeDaerah Ly/l

!u Ly L ! M # h $ %&

Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**, '/**2,

D

Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95 1.441

Lap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85 1.800

Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95 1.81

Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85 2.100

 ρ *& 1 =

 ρ *a( =

 ρ *& 2 =

Page 18: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 18/46

1000 ** * = 20.85

120 **

 ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a Tula&)a&

 perlu Pa(a '**2, '**2, pa(a '**2, '**2, uut

0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200

0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200

 ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a Tula&)a&

 perlu Pa(a '**2, '**2, pa(a '**2, '**2, uut

0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3 #8 200

0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3 #8 200

0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3 #8 200

0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3 #8 200

Page 19: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 19/46

,embebanan ,elat "an@@a

&eban mati

&erat ,elat "an@@a !.12 2!! 1 = 2** k@m2

&erat anak tan@@a !A12 2!! = 12 k@m2

&erat keramik :9pe9i = 5 k@m2 :

B4 525 k@m2&eban i;up (Bl) 3!! k@m2

,embebanan ,elat &#r;e9

&eban mati

&erat ,elat "an@@a !.12 2!! 1 = 2** k@m2

&erat keramik :9pe9i = 5 k@m2

B4 333 k@m2

&eban i;up (Bl) 3!! k@m2

,embebanan &al#k &#r;e9

&eban mati

&erat ,elat "an@@a 333 (12 2) = 333 k@m2

&erat ;in;in@ = 5 k@m2

B4 3* k@m2

&eban i;up (Bl)

&eban i;up plat = 3!! (122) = 3!! k@m2

Page 20: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 20/46

&al#k anak atap

BALOK B; Bl b %

l l ly

(K@m2) (K@m2) (m) (m) (m) (m)

&a1 3 1!! 3 3 5.5 !.2 !.&a2 3 1!! 3 !.25 !.5

&al#k nak $antai 2 4an $antai 3

BALOK B; Bl b %

l l ly

(K@m2) (K@m2) (m) (m) (m) (m)

&a1 3** 25! 3 3 5.5 !.2 !.

TABEL PENU

22 Mpa !.!!35

3! Mpa !.!1*53

&al#k 4aera%b % M#men φ ; Mu

(mm) (mm) (k@m) tul. Ctama (mm) (k@m)

&a1 "umpuan 2!! !! *5.!2 1 35 .

$apan@an 2!! !! 22.* 1 35 .2

&a2 "umpuan 25! 5! 2522.5 1 15 2.52

$apan@an 25! 5! 212.1 1 15 2.1

Tulangan geser 

&al#kDu Dn Dc D9 v S !A5 . ;

(k@) (?) (?) (?) (mm) (mm) (mm)

&a1 1!!

&a2 1!!

TABEL PENULANGA

22 Mpa !.!!353! Mpa !.!1*53

&al#k 4aera%b % M#men φ ; Mu

(mm) (mm) (k@m) tul. Ctama (mm) (k@m)

&a1 "umpuan 2!! !! *5.!1 1 35 .

$apan@an 2!! !! 22.*1 1 35 .2

Tulangan geser 

&al#kDu Dn Dc D9 v S !A5 . ;

(k@) (?) (?) (?) (mm) (mm) (mm)&a1 1!!

fc = ρ min =

fy  = ρ mak9 =

fc = ρ min =fy  = ρ mak9 =

Page 21: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 21/46

PERHITUNGAN BALOK ANAK 

&erat Sen;iri, B1

&al#k 4$ $$ 4$ $$ terpu9at 4$ $$

(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)

12 3 1!! 2.23 3.1 6 11*.23 3.2*12! 3 1!! 32.1 3 1!!

&erat Sen;iri , Be

&al#k 4$ $$ 4$ $$ terpu9at 4$ $$

(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)

12 3** 25! 3.5 3.*31 6 1!11. 25.*35

LANGAN BALOK ATAP

9elimutA ; = 2! mm m= 2!.*5

φ = !.*

Mn En F F 9 9  "ulan@an "ulan@an

(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan

2312!.*3 !.233 !.!!!!3 !.!!35 22.1 25.

531!*.2 !.2!!5 !.!!!51 !.!!35 22.1 25.

31531!.5 !.!32 !.!!!1** !.!!35 32. 3*.

2!21.532 !.!2* !.!!!11 !.!!35 32. 3*.

Syarat >arak "ul. Ge9er φ  >arak

SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@

*

*

 BALOK LANTAI 2 & LANTAI 3

9elimutA ; = ! mm m= 2!.*5φ = !.*

Mn En F F 9 9  "ulan@an "ulan@an

(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan

2312!.*3 !.21* !.!!! !.!!35* 2. 25.

531!*.2 !.22 !.!!!5 !.!!35* 2. 25.

Syarat >arak "ul. Ge9er φ  >arak

SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@*

2 φ 13

2 φ 13

3 φ 13

3 φ 13

2 φ 13

2 φ 13

Page 22: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 22/46

e

B2Bu M# Mu(tum) Mu(lap) Du

4$ $$

(K@m2) (K@m2) (K@m2) (k@m) (k@m) (k@)

6 6 1.52 .53 *5.!2 22.* 53*.2!5.* 3*3.*! 2522.5 212.1 1!.!

Bu M# Mu(tum) Mu(lap) Du

(K@m2) (k@m) (k@m) (k@)

25.!* 1!1!.* 3.*5 5*23.3! 11.*

9' 9'  "ulan@an "ulan@an

%a9il pakai $apan@an "umpuan

131.!2 25.

131.!2 25.

1*.21* 25.

1*.21* 25.

9' 9'  "ulan@an "ulan@an

%a9il pakai $apan@an "umpuan

123.* 25.

123.* 25.

2 φ 13

2 φ 13

2 φ 13

2 φ 13

2 φ 13

2 φ 13

Page 23: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 23/46

tebal pelat atap ;iambil 12! mm = 12 cm

Pembebanan pada plat :

eba& *at

 berat e&$r plat t. 12c* = 0.12 2400

 berat pe t 2 c* = 2.00 21

 berat pla6&$ $a& ra&)(a = 1 18

 berat ltr( = 0.002 1000

 berat lapa& apal par t. 1 c* = 1 14

!$l

eba& h$up pa$a pelat atap

A(bat beba& h$up '!ll, = 100

eba& ar hua& '!lr, = 0.02 1000

eba& ult*ate / beba& bera(t6r !u = 1.2 !$l

'ber$aar(a& : 28472013, = 1.2 34.0

= 0.8

TABEL PERHITUNGAN

Fc = 22 Mpa 0.00359

Fy = 390 Mpa  ρb = 0.02470

0.01853

0.00185

Pelat Dua Arah

TypeDaerah Ly/l

!u Ly L"

M # h $

Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,

A

Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95

Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85

Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95

Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85

B

Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85

Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95

Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85

C

Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95

Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85

Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95

Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85

Pelat Satu Arah

TypeDaerah Ly/l

!u Ly L ! M # h $

Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**,

Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95

()/*2

 ρ *& 1 =

 ρ *a( =

 ρ *& 2 =

Page 24: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 24/46

DLap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85

Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95

Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85

Page 25: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 25/46

1 = 288 ()/*+

1 = 42 ()/*+

1 = 18 ()/*+

1 = 2 ()/*+

1 = 14 ()/*+

= 34.00 ()/*+

1 100 ()/*+

1 = 20 ()/*+

120()/*+

1. !ll 0.5 !lr  

1. 100 0.5 2!

 PELAT ATAP

 b Pelat = 1000 ** * = 20.85

h Pelat = 120 **

%&  ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a

'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,

0.303 0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.123 0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.20 0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.159 0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.30.198 0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.393 0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.491 0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.280 0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.151 0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.598 0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3

%&  ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a

'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,

1.441 0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3

Page 26: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 26/46

1.800 0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3

1.81 0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3

2.100 0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3

Page 27: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 27/46

Tula&)a&

uut

#8 200

#8 200

#8 200

#8 200

#8 200#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

Tula&)a&

uut

#8 200

Page 28: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 28/46

#8 200

#8 200

#8 200

Page 29: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 29/46

&al#k anak atap

BALOK B; Bl b %

l l ly

(K@m2) (K@m2) (m) (m) (m) (m)

&a1 3 1!! 3 3 5.5 !.2 !.&a2 3 1!! 3 !.25 !.5

&al#k nak $antai 2 4an $antai 3

BALOK B; Bl b %

l l ly

(K@m2) (K@m2) (m) (m) (m) (m)

&a1 3** 25! 3 3 5.5 !.2 !.

TABEL PENU

22 Mpa !.!!35

3! Mpa !.!1*53

&al#k 4aera%b % M#men φ ; Mu

(mm) (mm) (k@m) tul. Ctama (mm) (k@m)

&a1 "umpuan 2!! !! *5.!2 1 35 .

$apan@an 2!! !! 22.* 1 35 .2

&a2 "umpuan 25! 5! 2522.5 1 15 2.52

$apan@an 25! 5! 212.1 1 15 2.1

Tulangan geser 

&al#kDu Dn Dc D9 v S !A5 . ;

(k@) (?) (?) (?) (mm) (mm) (mm)

&a1 1!!

&a2 1!!

TABEL PENULANGA

22 Mpa !.!!353! Mpa !.!1*53

&al#k 4aera%b % M#men φ ; Mu

(mm) (mm) (k@m) tul. Ctama (mm) (k@m)

&a1 "umpuan 2!! !! *5.!1 1 35 .

$apan@an 2!! !! 22.*1 1 35 .2

Tulangan geser 

&al#kDu Dn Dc D9 v S !A5 . ;

(k@) (?) (?) (?) (mm) (mm) (mm)&a1 1!!

fc = ρ min =

fy  = ρ mak9 =

fc = ρ min =fy  = ρ mak9 =

Page 30: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 30/46

PERHITUNGAN BALOK ANAK 

&erat Sen;iri, B1

&al#k 4$ $$ 4$ $$ terpu9at 4$ $$

(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)

12 3 1!! 2.23 3.1 6 11*.23 3.2*12! 3 1!! 32.1 3 1!!

&erat Sen;iri , Be

&al#k 4$ $$ 4$ $$ terpu9at 4$ $$

(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)

12 3** 25! 3.5 3.*31 6 1!11. 25.*35

LANGAN BALOK ATAP

9elimutA ; = 2! mm m= 2!.*5

φ = !.*

Mn En F F 9 9  "ulan@an "ulan@an

(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan

2312!.*3 !.233 !.!!!!3 !.!!35 22.1 25.

531!*.2 !.2!!5 !.!!!51 !.!!35 22.1 25.

31531!.5 !.!32 !.!!!1** !.!!35 32. 3*.

2!21.532 !.!2* !.!!!11 !.!!35 32. 3*.

Syarat >arak "ul. Ge9er φ  >arak

SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@

*

*

 BALOK LANTAI 2 & LANTAI 3

9elimutA ; = ! mm m= 2!.*5φ = !.*

Mn En F F 9 9  "ulan@an "ulan@an

(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan

2312!.*3 !.21* !.!!! !.!!35* 2. 25.

531!*.2 !.22 !.!!!5 !.!!35* 2. 25.

Syarat >arak "ul. Ge9er φ  >arak

SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@*

2 φ 13

2 φ 13

3 φ 13

3 φ 13

2 φ 13

2 φ 13

Page 31: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 31/46

e

B2Bu M# Mu(tum) Mu(lap) Du

4$ $$

(K@m2) (K@m2) (K@m2) (k@m) (k@m) (k@m) (k@)

6 6 1.52 .53 *5.!2 22.* 53*.2!5.* 3*3.*! 2522.5 212.1 1!.!

Bu M# Mu(tum) Mu(lap) Du

(K@m2) (k@m) (k@m) (k@)

25.!* 1!1!.* 3.*5 5*23.3! 11.*

9' 9'  "ulan@an "ulan@an

%a9il pakai $apan@an "umpuan

131.!2 25.

131.!2 25.

1*.21* 25.

1*.21* 25.

9' 9'  "ulan@an "ulan@an

%a9il pakai $apan@an "umpuan

123.* 25.

123.* 25.

2 φ 13

2 φ 13

2 φ 13

2 φ 13

2 φ 13

2 φ 13

Page 32: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 32/46

PERHITUNGAN TANGGA

H ,enentuan anak tan@@a ;en@an rumu9 I

6 ;irencanakan #ptra;e = 2! cm

6 ;irencanakan antra;e = 3! cm6 maka I 2 . a : # = ! cm

6 be;a tin@@i lantai = 25 cm

6 tin@@i b#r;e9 = 22! cm

6 banyak #ptra;e = 252!

= 21.25 bua%

= 22 bua%

ma9in@ = 222

= 11 b%

6 kemirin@an tan@@a = arc tan (2!3!)

= arc tan !A= 3!.

= 31

H 4irencanakan 9truktur tan@@a

lebar tan@@a = 2!! cm

tebal plat = 12 cm

lan@ka% ;atar = 3! cm

lan@ka% naik = 2! cm

H ,embebanan 9truktur tan@@a

6 berat 9en;iri plat tan@@a !A1 . 2!!

#

#

Page 33: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 33/46

!A

6 berat anak tan@@a !A5 . !A1 . 2!!

!A

6 berat keramik (2cm) 2 . 2

6 berat 9pe9i (2cm) 2 . 21

J4

6 B$ = 3!! k@m26Bu 1 = 1A2 J4 : 1A J$

= 1A2 . *1! : 1A . 3!!

= 15 k@m2

H ,embebanan b#r;e9

6 berat 9en;iri b#r;e9 !A12 . 2!!

6 berat penutup lantai keramik 2. 2

6 berat 9pe9i 2. 21

B4

6 B$ = !! k@m2

6Bu 2 = 1A2 J4 : 1A J$

= 1A2 . 3* : 1A . !!

= 1!3. k@m2

H &e9ar beban merata

6 Bu 1 = 15 k@m2

6 Bu 2 = 1!3. k@m2

H Men@%itun@ pan8an@ rua9 1 6 2

√ 22! : 3! = 32.!2 cm

H Eencana ;imen9i anak tan@@a

6 12 . 3! . 2!

= 3!!

0 =

= 3.!5 cm

= 3 cm

6 12 . 0 . t

$ua9 ∆ &0 =

√ 30 + 20

Maka $ua9 ∆ &0 =

23 23 23 23 23

Page 34: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 34/46

2! = 12 . 3 . t

2! =   t

1*

t = 15 cm

6 = 35!

!3.1

= !.

c#9 α

Page 35: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 35/46

L

= 5! k@m2

Page 36: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 36/46

= 2*! k@m2

= * k@m2

= 2 k@m2

= 3! k@m2

= 2** k@m2

= * k@m2

= 2 k@m2

= 3* k@m2

Page 37: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 37/46

Page 38: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 38/46

tebal pelat atap ;iambil 12! mm = 12 cm

Pembebanan pada plat :

eba& *at

 berat e&$r plat t. 12c* = 0.12 2400

 berat pe t 2 c* = 2.00 21

 berat pla6&$ $a& ra&)(a = 1 18

 berat ltr( = 0.002 1000

 berat lapa& apal par t. 1 c* = 1 14

!$l

eba& h$up pa$a pelat atap

A(bat beba& h$up '!ll, = 100

eba& ar hua& '!lr, = 0.02 1000

eba& ult*ate / beba& bera(t6r !u = 1.2 !$l

'ber$aar(a& : 28472013, = 1.2 34.0

= 0.8

TABEL PERHITUNG

Fc = 22 Mpa 0.00359

Fy = 390 Mpa  ρb = 0.02470

0.01853

0.00185

Pelat Dua Arah

TypeDaerah Ly/l

!u Ly L"

M # h $

Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,

A

Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95

Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85

Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95

Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85

B

Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85

Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95

Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85

C

Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95

Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85

Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95

Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85

Pelat Satu Arah

TypeDaerah Ly/l

!u Ly L ! M # h $

Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**,

Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95

()/*2

 ρ *& 1 =

 ρ *a( =

 ρ *& 2 =

Page 39: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 39/46

DLap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85

Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95

Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85

Page 40: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 40/46

1 = 288 ()/*+

1 = 42 ()/*+

1 = 18 ()/*+

1 = 2 ()/*+

1 = 14 ()/*+

= 34.00 ()/*+

1 100 ()/*+

1 = 20 ()/*+

120()/*+

1. !ll 0.5 !lr  

1. 100 0.5 2!

N PELAT ATAP

 b Pelat = 1000 ** * = 20.85

h Pelat = 120 **

%&  ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a

'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,

0.303 0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.123 0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.20 0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.159 0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.30.198 0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.393 0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.491 0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.280 0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.151 0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3

0.598 0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3

0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3

%&  ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a

'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,

1.441 0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3

Page 41: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 41/46

1.800 0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3

1.81 0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3

2.100 0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3

Page 42: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 42/46

Tula&)a&

uut

#8 200

#8 200

#8 200

#8 200

#8 200#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

Tula&)a&

uut

#8 200

Page 43: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 43/46

#8 200

#8 200

#8 200

Page 44: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 44/46

Tebal pelat la&ta 2 $a& la&ta 3 $a*bl 120 ** = 12 c*

Pembebanan pada plat :

eba& *at

 berat e&$r plat t. 12c* = 0.12 2400

 berat (era*( t.1 c* = 1.00 24

 berat pe t 2 c* = 2.00 21

 berat pla6&$ $a& ra&)(a = 1 18

 berat ltr( = 0.002 1000

 berat lapa& apal par t. 1 c* = 1 14

!$l

eba& h$up pa$a pelat la&ta 2 $a& la&ta 3

eba& h$up u&tu( ara*a '!ll, = 250

eba& ult*ate / beba& bera(t6r !u = 1.2 !$l

'ber$aar(a& : 28472013, = 1.2 388.0

= 85.

TABEL PERHITUNGAN PELAT LA

Fc = 22 Mpa 0.00359

Fy = 390 Mpa  ρb = 0.02470

0.01853

0.00185

TypeDaerah Ly/l

!u Ly L " M # h $

Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,

E

Lap 1.8 85. 5.50 3.00 40 311.2 10 120 95

Lap y 1.8 85. 5.50 3.00 13 101.28 10 120 85

Tu* 1.8 85. 5.50 3.00 82 38.81 10 120 95

Tu* y 1.8 85. 5.50 3.00 57 444.05 10 120 85

Lap 1.0 85. 3.00 3.00 21 13.0 10 120 95

Lap y 1.0 85. 3.00 3.00 21 13.0 10 120 85Tu* 1.0 85. 3.00 3.00 52 405.10 10 120 95

Tu* y 1.0 85. 3.00 3.00 52 405.10 10 120 85

G

Lap 1. 85. 4.75 3.00 37 288.24 10 120 95

Lap y 1. 85. 4.75 3.00 1 124.5 10 120 85

Tu* 1. 85. 4.75 3.00 79 15.44 10 120 95

Tu* y 1. 85. 4.75 3.00 57 444.05 10 120 85

H

Lap 1.8 85. 3.50 2.00 40 138.50 10 120 95

Lap y 1.8 85. 3.50 2.00 13 45.01 10 120 85

Tu* 1.8 85. 3.50 2.00 82 283.92 10 120 95

Tu* y 1.8 85. 3.50 2.00 57 197.3 10 120 85

()/*2

 ρ *& 1 =

 ρ *a( =

 ρ *& 2 =

Page 45: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 45/46

1 = 288 ()/*+

1 = 24 ()/*+

1 = 42 ()/*+

1 = 18 ()/*+

1 = 2 ()/*+

1 = 14 ()/*+

= 388.00 ()/*+

1 250 ()/*+

1. !ll

1. 250

  NTAI 2 DAN LANTAI 3

 b Pelat = 1000 ** * = 20.85

h Pelat = 120 **

%&  ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a

'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,

0.432 0.00112 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.175 0.00045 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.885 0.00233 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.78 0.00201 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.227 0.00058 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.283 0.00073 0.00359 305.13 318.10 #9 200 221.5384 251.30.51 0.0014 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.701 0.00183 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.399 0.00103 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.21 0.0005 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.852 0.00224 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.78 0.00201 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.192 0.00049 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.078 0.00020 0.00359 305.13 318.10 #9 200 221.5384 251.3

0.393 0.00102 0.00359 341.03 392.70 #10 200 221.5384 251.3

0.341 0.00088 0.00359 305.13 318.10 #9 200 221.5384 251.3

Page 46: Reni Beton

8/19/2019 Reni Beton

http://slidepdf.com/reader/full/reni-beton 46/46

Tula&)a&

uut

#8 200

#8 200

#8 200

#8 200

#8 200

#8 200#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

#8 200

#8 200