POS 1 –plan armature (varijantasapravimšipkama)imksus.grf.bg.ac.rs/nastava/BETON/MTI HVE...
15
1 1 4 3 2 1 600 600 600 POS 1 +3.42 25 467.5 40 467.5 25 1 1 A B C 1-1 25 467.5 40 467.5 25 12.5 12.5 20 20 12.5 12.5 14 25 567.5 40 560 40 567.5 25 20 12.5 A B C POS 2 36 POS 3 POS 2 20 20 20 12.5 12.5 12.5 500 500 50 POS 2 POS 3 POS 2 Ploča POS 1 – plan oplate 2 4 3 2 1 600 600 600 A B C POS 2 500 500 KOLICINA BETONA: Vb = 26.19 m 3 KOLICINA ARMATURE: 2670.36 26.19 = 102.0 kg/m3 POS 3 POS 2 POS 2 POS 3 POS 2 3 60RØ12/ 30 3 60RØ12/ 30 A B C 500 500 130 3 60RØ12/30 3 60RØ12/ 30 5 119RØ16/ 15 (IV red) 4 6RØ10/ 25 4 6RØ10/ 25 4 6RØ10/ 25 (III red) 4 6RØ10/ 25 2 3RØ8/ 30 2 3RØ8/ 30 2 3RØ8/ 30 2 3RØ8/ 30 7 16RØ8/ 30 6 ±RØ16 6 ±RØ16 7 16RØ8/ 30 7 16RØ8/ 30 6 ±RØ16 6 ±RØ16 7 16RØ8/ 30 1 1 2 3 2 RØ8/ 30 A (C) 5 RØ16/15 4 RØ10/ 25 20 20 B 3 RØ12/30 14 6 4RØ16 4 RØ10/25 4 (1) 3-3 7 RØ8/30 14 12.5 12.5 4 RØ10/25 14 1-1 2-2 8 RØ10 (4 kom/m2) 3 1 119RØ12/15 (I red) 1 119RØ12/ 15 2 16RØ8/ 30 (II red) 2 16RØ8/ 30 2 16RØ8/30 2 16RØ8/ 30 1 RØ12/15 1 RØ12/15 1 RØ12/15 2 RØ8/ 30 2 RØ8/30 2 RØ8/ 30 1 4RØ12/15 2 RØ8/30 2 16Ø8/30 L=930 (76) 930 1 119Ø12/ 15 L=530 (238) 530 4 6Ø10/25 L=930 (24) 930 5 119Ø16/ 15 L=300 (119) 300 6 ±1Ø16 L=535 (16) 535 Šipke - rekapitulacija Ø [mm] lgn [m] Jed.težina [kg/m'] Težina [kg] RA2 8 763.12 0.405 309.06 10 505.20 0.633 319.79 12 1453.40 0.911 1324.05 16 442.60 1.621 717.45 2670.36 Ukupno 02.10.2016. 580×297 R 1:75 (25) MB 30 RA 400/500 GODIŠNJI ZADATAK - LIST br.2 PLAN ARMATURE POS 1 1 1 2 7 Ø8 L=88 (64) 40 8 40 3 3 3 Ø12 L=160 (120) 100 10 50 POS 1 – plan armature (varijanta sa pravim šipkama)
Transcript of POS 1 –plan armature (varijantasapravimšipkama)imksus.grf.bg.ac.rs/nastava/BETON/MTI HVE...
-
1
1
4321
600 600 600
POS 1
+3.42
2546
7.5
4046
7.5
25
11
A
B
C
1-1
2546
7.5
4046
7.5
25
12.5
12.5
2020
12.5
12.5
14
25 567.5 40 560 40 567.5 25
2012.5
A
B
CPOS 2
36
POS 3
POS 2
20 202012.5 12.5 12.5
500
500
50
POS 2
POS 3
POS 2
Ploča POS 1 – plan oplate
2
4
3
2
1
600
600
600
A B C
POS
2
500 500
KOLICINA BETONA: Vb = 26.19 m3
KOLICINA ARMATURE: 2670.3626.19 = 102.0 kg/m3
POS
3
POS
2
POS
2
POS
3
POS
2
3 60RØ12/ 30 3 60RØ12/ 30
A B C
500 500
130
3 60RØ12/ 30 3 60RØ12/ 30
5 119RØ16/ 15 (IV red)
46R
Ø10
/25
46R
Ø10
/25
46R
Ø10
/25
(III
red)
46R
Ø10
/25
23R
Ø8/
302
3RØ
8/30
23R
Ø8/
302
3RØ
8/30
7 16RØ8/ 30
6 ±RØ16 6 ±RØ16
7 16RØ8/ 30
7 16RØ8/ 30
6 ±RØ16 6 ±RØ16
7 16RØ8/ 30
1
1
2
3
2 RØ8/ 30
A (C) 5 RØ16/154 RØ10/ 25
20 20
B3 RØ12/30
14
6 4RØ16
4 RØ10/254 (1)3-3
7 RØ8/30
14
12.5 12.5
4 RØ10/ 25
14
1-1 2-2
8 RØ10 (4 kom/m2)
3
1 119RØ12/ 15 (I red)1 119RØ12/ 15
216
RØ
8/30
(II
red)
216
RØ
8/30
216
RØ
8/30
216
RØ
8/30
1 RØ12/15 1 RØ12/151 RØ12/152 RØ8/ 30 2 RØ8/ 302 RØ8/ 30
1 4RØ12/ 15 2 RØ8/30
2 16Ø8/ 30 L=930 (76)930
1 119Ø12/ 15 L=530 (238)530
4 6Ø10/ 25 L=930 (24)930
5 119Ø16/ 15 L=300 (119)300
6 ±1Ø16 L=535 (16)535
Šipke - rekapitulacija
Ø[mm]
lgn[m]
Jed.težina[kg/m']
Težina[kg]
RA2
8 763.12 0.405 309.06
10 505.20 0.633 319.79
12 1453.40 0.911 1324.05
16 442.60 1.621 717.45
2670.36Ukupno
02.10.2016.580×297R 1:75 (25)MB 30 RA 400/500
GODIŠNJI ZADATAK - LIST br.2
PLAN ARMATURE POS 1
1
1
2
7 Ø8 L=88 (64)408
40
3
3
3 Ø12 L=160 (120)10010
50
POS 1 – plan armature (varijanta sa pravim šipkama)
-
2
3
4321
600600600
A
B
C
POS 2
500
500
POS 3
POS 2
POS 2
POS 3
POS 2
360
RØ
12/3
03
60R
Ø12
/30
111
9RØ
12/1
5 (I
red)
111
9RØ
12/1
5
2 16RØ8/ 30 (II red)2 16RØ8/ 30
2 16RØ8/ 302 16RØ8/ 30
POS 1 – donja zona
4
4321
600600600
A
B
C
POS 2
500
500
POS 3
POS 2
POS 2
POS 3
POS 2
360
RØ
12/3
03
60R
Ø12
/30
111
9RØ
12/1
5 (I
red)
111
9RØ
12/1
5
2 16RØ8/ 30 (II red)2 16RØ8/ 30
2 16RØ8/ 302 16RØ8/ 30
POS 1 – donja zona (I red)
-
3
5
4321
600600600
A
B
C
POS 2
500
500
POS 3
POS 2
POS 2
POS 3
POS 2
360
RØ
12/3
03
60R
Ø12
/30
111
9RØ
12/1
5 (I
red)
111
9RØ
12/1
5
2 16RØ8/ 30 (II red)2 16RØ8/ 30
2 16RØ8/ 302 16RØ8/ 30
POS 1 – donja zona (II red)
6
4321
600600600
A
B
C
500
500
130
360
RØ
12/3
03
60R
Ø12
/30
511
9RØ
16/1
5 (IV
red)
4 6RØ10/ 254 6RØ10/ 25
4 6RØ10/ 25 (III red)4 6RØ10/ 25
2 3RØ8/ 302 3RØ8/ 30
2 3RØ8/ 30 2 3RØ8/ 30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
POS 1 – gornja zona
-
4
7Detalj postavljanja distancera za gornju zonu
8Distanceri za gornju zonu
-
5
9
4321
600600600
A
B
C
500
500
130
360
RØ
12/3
03
60R
Ø12
/30
511
9RØ
16/1
5 (IV
red)
4 6RØ10/ 254 6RØ10/ 25
4 6RØ10/ 25 (III red)4 6RØ10/ 25
2 3RØ8/ 302 3RØ8/ 30
2 3RØ8/ 30 2 3RØ8/ 30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
POS 1 – gornja zona (III red)
10
4321
600600600
A
B
C
500
500
130
360
RØ
12/3
03
60R
Ø12
/30
511
9RØ
16/1
5 (IV
red)
4 6RØ10/ 254 6RØ10/ 25
4 6RØ10/ 25 (III red)4 6RØ10/ 25
2 3RØ8/ 302 3RØ8/ 30
2 3RØ8/ 30 2 3RØ8/ 30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
716
RØ
8/30
6±R
Ø16
6±R
Ø16
716
RØ
8/30
POS 1 – gornja zona (IV red)
-
6
11
2 RØ8/ 30A (C)3 RØ12/30
14
12.5 12.5
1 RØ12/152 RØ8/ 30
3 Ø12 L=160 (0)10010
50
POS 1 – lokalni presek 1-1
12
5 RØ16/15
4 RØ10/ 25
20 20
B
14
4 RØ10/ 25
1 RØ12/151 RØ12/152 RØ8/ 302 RØ8/ 30
POS 1 – lokalni presek 2-2
-
7
13Detalj ojačanja slobodne ivice ploče (presek 3-3)
6 4RØ164 RØ10/25
4 (1)
7 RØ8/30
14
1 4RØ12/ 15 2 RØ8/30
7 Ø8 L=88 (0)408
40
14
Š ipke - specifikacija
ozn. ob lik i m ere[cm ]
C Ø lg[cm ]
n[kom ]
lgn[m ]
PO S 1 (1 kom )
1 530 RA2 12 530 238 1261.40
2 930 RA2 8 930 76 706.80
3
100
10
50
RA2 12 160 120 192.00
4 930 RA2 10 930 24 223.20
5 300 RA2 16 300 119 357.00
6 535 RA2 16 535 16 85.60
7
40
8
40
RA2 8 88 64 56.32
8
25 7 30
725
RA2 10 94 300 282.00
Specifikacija armature
-
8
15
Šipke - rekapitulacija
Ø[mm]
lgn[m]
Jedinicna težina[kg/m']
Težina[kg]
RA2
8 763.12 0.405 309.06
10 505.20 0.633 319.79
12 1453.40 0.911 1324.05
16 442.60 1.621 717.45
2670.36Ukupno
Rekapitulacija armature
16Donja zona – varijanta 2 (sa mrežama)
Za usvojeno MA 500/560 (σv = 500 MPa = 50 kN/cm2):
mcm545
5040936
5005241186411A
2
a ..... =×=××=
usvojeno: R-636glavna armatura: Ø9/10 (6.36 cm2/m)poprečna armatura: Ø6/25 (1.13 cm2/m)
-
9
17Preklapanje mreža – član 163 PBAB 87
usvojeno: R-636preklop glavne armature (Ø9): (4-1)×25 = 75 cmpreklop poprečne armature (Ø6): (2-1)×10 = 10 < 15 cm ⇒ usv. 15 cm
18
4321
A
B
C
POS 2
500
500
POS 3
POS 2
POS 2
POS 3
POS 2
600 600 600
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-1R-
636
465x
215
I-2R
-636
465x
175
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-1R
-636
465x
215
I-2R
-636
465x
175
190
RØ
10/2
0
40
290
RØ
10/2
02
90R
Ø10
/20
151851518515185151851518515185151851516025 200 25
POS 1 – donja zona (varijanta sa mrežama)
-
10
19
3 RØ8/ 30
A (C) 5 RØ16/154 RØ10/ 25
20 20
B
1 RØ10/20 I-1 R-636I-1 R-636
2 RØ10/20
I-1 R-636
2 RØ10 L=175 (0)100
10
65
1 RØ10 L=120 (0)120
14 14
12.5 12.5
4 RØ10/ 25
1-1 2-2
Detalji poprečnog preseka – varijanta MREŽE
20
Mreže - specifikacija
Pozicija Oznakamreže
B[cm]
L[cm]
n Jedinicna težina[kg/m2]
Ukupna težina[kg]
POS 1 (varijanta 2) (1 kom)
I-1 R-636 215 465 16 6.054 968.40
I-2 R-636 175 465 2 6.054 98.53
1066.93Ukupno
Mreže - rekapitulacija
Oznakamreže
B[cm]
L[cm]
n Jedinicna težina[kg/m2]
Ukupna težina[kg]
R-636 215 600 18 6.054 1405.74
1405.74Ukupno
Mreže - plan secenja
POS 1 (varijanta 2)
R-636 (215 cm x 600 cm)
16xI-1 215 x 465
2xI-2 175 x 465
Specifikacija i rekapitulacija mreža
-
11
2121POS 3 - granično opterećenje (1.6×G+1.8×P)
271.2339.0
406.8
406.8339.0
271.2
2.40
L0 = 4.80 L0 = 2.68
3.00 3.60
406.8 406.8
325.4
101.7
L0 = 4.80
L = 6.00
qu = 113 kN/m
(x qL)
325.4
A = 25 B = 1110 D =
25C =
1110
L = 6.00 L = 6.00
Mu
Tu
1.661.20
2.862.40 2.40
1.66 1.20
2.86 2.402.40
22
-
12
23
2Ø12UØ10/15
3Ø22
14
50
40
2Ø223Ø22
2Ø22
2Ø12
2Ø222Ø22
2Ø22
UØ10/251Ø22
40
POS 3 – preseci nad osloncem i u krajnjem polju
24
35
1 2RØ22
3 2RØ22
2 2RØ22 1 2RØ221 2RØ22
600 600
25 40 40
35
1 2 3
2
35
70
1 2RØ22 L=669 (4)645
2 2RØ22 L=670 (2)670
3 2RØ22 L=969 (4)945
35
3
Armatura kontinualne grede – ugaone šipke
-
13
25
2Ø22
3Ø22
3Ø22
2
b=166a=120
cm120480600LLacm48060080L80L 21021
0 =−=−=⇒=×=×=−− ..
Procena dužine šipki u gornjoj zoni
L1-20 = 4.80 L2-30 = 2.68
406.8
325.4
101.7
L = 6.00
qu = 113 kN/m
A = 25 B = 1110
L = 6.00
Mu
1.661.20
2.862.40 2.40
cm1662
2686002LLbcm268
5600
5LL
32032
0 =−
=−
=⇒===−
−
26
2Ø22
3Ø22
3Ø22
2
b=166a=120
a1=90v+Ls b1=124 v+Ls
a2=45 b2=62v+Ls v+Ls
šipk
e 7
šipk
e 6
cm3243750v ≈×= .
cm9012075022Ø822Ø6aa1 =×=×= .
MPa75130MB p .=τ⇒
Ø7531Ø751814
400L 1s ×=××= .
..cm10522647L51L 1s2s ≈×=×= ...
cm14013710532Lv 2s ≈=+=+
cm49549414012490140L 6POS ≈=+++=
Procena dužine šipki u gornjoj zoni
cm45120375022Ø822Ø3aa2 =×=×= .
cm12416675022Ø822Ø6bb1 =×=×= .
cm62166375022Ø822Ø3bb2 =×=×= .
cm3903871406245140L 7POS ≈=+++=
-
14
27
1 2
25 40
185 205
3 2RØ22 L=969 (2)94524 6 3RØ22 L=495 (3)
4957 3RØ22 L=390 (3)
39045 60
7 3RØ22 6 3RØ22
265230
6 3RØ223 2RØ22
8 2RØ1210 RUØ10/12.5
7 3RØ22
14
50
5.2
40
3 2RØ226 3RØ22
1 2RØ229 2RØ12
Procena dužine šipki u gornjoj zoni
28
L1-20 = 4.80
0.4×L = 2.40 2.40
1 2
L = 6.00
2Ø22
3Ø22
5Ø22
3Ø22
2Ø22
xPOS 5 = 3.04
v+Lsv+Ls xPOS 4 = 3.72
v+Ls v+Ls
Procena dužine šipki u donjoj zoni – krajnja polja
-
15
2929
m0434080422Ø522Ø2L
MMLx 010
5POS ... =×=×=×=
cm10222753132Lh750LvLv 1s1ss ≈×+≈+×=+=+ ...
cm510508102304102LvxLvL s5POS
s5POS ≈=++=++++≈
cm580576102372102LvxLvL s2s4POS ≈=++=++++≈
Procena dužine šipki u donjoj zoni
Šipke su simetrično postavljene u odnosu na mesto maksimalnog momenta u polju (x = 2.4 m od ose 1 ka osi 2)
m7236080422Ø522Ø3L
MMLx 020
4POS ... =×=×=×=
30
0.4×L = 2401 2
5 2RØ22 L=505 (2)505
1 2RØ22 L=669 (2)645
24
4 1RØ22 L=564 (1)540
24
5 2RØ224 1RØ221 2RØ22, ,
25 40
4 1RØ225 2RØ22
255 = 5102
290 = 5802
8 2RØ12
1 2RØ225 2RØ22
3 2RØ22
10 RUØ10/30
14
50
40
4 1RØ22
35
Procena dužine šipki u donjoj zoni – krajnja polja
