POS 1 –plan armature (varijantasapravimšipkama)imksus.grf.bg.ac.rs/nastava/BETON-NOVI...
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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-NOVI...
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 RØ16/15
4 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 RØ12/15
2 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
Ø12
/30
360
Ø12
/30
111
9Ø12
/15
(I re
d)1
119Ø
12/1
5
2 16Ø8/30 (II red)2 16Ø8/30
2 16Ø8/302 16Ø8/30
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
Ø12
/30
360
Ø12
/30
111
9Ø12
/15
(I re
d)1
119Ø
12/1
5
2 16Ø8/30 (II red)2 16Ø8/30
2 16Ø8/302 16Ø8/30
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
Ø12
/30
360
Ø12
/30
111
9Ø12
/15
(I re
d)1
119Ø
12/1
5
2 16Ø8/30 (II red)2 16Ø8/30
2 16Ø8/302 16Ø8/30
POS 1 – donja zona (II red)
6
4321
600600600
A
B
C
500
500
130
360
Ø12
/30
360
Ø12
/30
511
9Ø16
/15
(IV re
d)
4 6Ø10/254 6Ø10/25
4 6Ø10/25 (III red)4 6Ø10/25
2 3Ø8/302 3Ø8/30
2 3Ø8/30 2 3Ø8/30
716
Ø8/
30
62×
2Ø16
62×
2Ø16
716
Ø8/
30
716
Ø8/
30
6±Ø
166
2×2Ø
16
716
Ø8/
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
Ø12
/30
360
Ø12
/30
511
9Ø16
/15
(IV re
d)
4 6Ø10/254 6Ø10/25
4 6Ø10/25 (III red)4 6Ø10/25
2 3Ø8/302 3Ø8/30
2 3Ø8/30 2 3Ø8/30
716
Ø8/
30
62×
2Ø16
62×
2Ø16
716
Ø8/
30
716
Ø8/
30
62×
2Ø16
62×
2Ø16
716
Ø8/
30
POS 1 – gornja zona (III red)
10
4321
600600600
A
B
C
500
500
130
360
Ø12
/30
360
Ø12
/30
511
9Ø16
/15
(IV re
d)
4 6Ø10/254 6Ø10/25
4 6Ø10/25 (III red)4 6Ø10/25
2 3Ø8/302 3Ø8/30
2 3Ø8/30 2 3Ø8/30
716
Ø8/
30
62×
2Ø16
62×
2Ø16
716
Ø8/
30
716
Ø8/
30
62×
2Ø16
62×
2Ø16
716
Ø8/
30
POS 1 – gornja zona (IV red)
6
11
2 Ø8/30A (C) 3 Ø12/30
15
12.5 12.5
1 Ø12/152 Ø8/30
3 Ø12100
10
50
POS 1 – lokalni presek 1-1
12
5 Ø16/154 Ø10/25
20 20
B
15
4 Ø10/25
1 Ø12/151 Ø12/152 Ø8/302 Ø8/30
POS 1 – lokalni presek 2-2
7
13Detalj ojačanja slobodne ivice ploče (presek 3-3)
6 4Ø164 Ø10/25
4 (1)
7 Ø8/30
15
1 4Ø12/15 2 Ø8/30
7 Ø8408
40
14
Šipke - specifikacija
ozn. oblik i mere[cm]
C Ø lg[cm]
n[kom]
lgn[m]
POS 1 (1 kom)
1 530 B500B 12 530 238 1261.40
2 930 B500B 8 930 76 706.80
3
100
10
50
B500B 12 160 120 192.00
4 930 B500B 10 930 24 223.20
5 300 B500B 16 300 119 357.00
6 535 B500B 16 535 16 85.60
7
40
8
40
B500B 8 88 64 56.32
8
25 7
30
725
B500B 10 94 300 282.00
Specifikacija armature
8
15
Šipke - rekapitulacija
Ø[mm]
lgn[m]
Jedinicna težina[kg/m']
Težina[kg]
B500B
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
Donja zona – varijanta 2 (sa mrežama) - primer
usvojeno: R-636glavna armatura: Ø9/10 (6.36 cm2/m)poprečna armatura: Ø6/25 (1.13 cm2/m)
16
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)
9
17
3 Ø8/30
A (C) 5 Ø16/15
4 Ø10/25
20 20
B
1 Ø10/20 I-1 R-636I-1 R-636
2 Ø10/20
I-1 R-636
2 Ø10100
10
65
1 Ø10120
15 15
12.5 12.5
4 Ø10/25
1-1 2-2
Detalji poprečnog preseka – varijanta MREŽE
18
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
10
19
2020POS 3 - granično opterećenje (1.35×G+1.5×Q)
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
qEd = 113 kN/m
(x qL)
325.4
A = 25 B = 1110 D = 25C = 11
10L = 6.00 L = 6.00
MEd
VEd
1.661.20
2.862.40 2.40
1.66 1.20
2.86 2.402.40
11
21
2Ø12Ø10/15
3Ø20
15
50
40
2Ø203Ø20
2Ø20
2Ø12
2Ø202Ø20
2Ø20
Ø10/251Ø20
40
POS 3 – preseci nad osloncem i u krajnjem polju
22
35
1 2Ø20
3 2Ø20 3 2Ø20
1 2Ø202 2Ø20 1 2Ø201 2Ø20
600 600 600
25 40 2540
35
1 2 3 4
2 2Ø20
35
70
1 Ø20
25 645 2 Ø20670
3 Ø20
25 945
1 Ø20
25645
35
3 Ø20
25945
Armatura kontinualne grede – ugaone šipke
12
23
2Ø20
3Ø20
3Ø20
2
b=166a=120
cm120480600LLacm48060080L80L 210
210 =−=−=⇒=×=×= −− ..
Procena dužine šipki u gornjoj zoni
L1-20 = 4.80 L2-3
0 = 2.68406.8
325.4
101.7
L = 6.00
pEd = 113 kN/m
A = 25 B = 1110
L = 6.00
MEd
1.661.20
2.862.40 2.40
cm1662
2686002LLbcm268
5600
5LL
32032
0 =−
=−
=⇒===−
−
24
2Ø20
3Ø20
3Ø20
2
b=166a=120
a1=90v+Lbd b1=124 v+Lbd
a2=45 b2=62v+Lbd v+Lbd
šipk
e 7
šipk
e 6
cm3243750v ≈×= .
cm9012075020Ø820Ø6aa1 =×=×= .
MPa75130MB p .=τ⇒
Ø7531Ø751814
400L 1s ×=××
= ...
cm10522647L51L 1s2s ≈×=×= ...
cm14013710532Lv 2s ≈=+=+
cm49549414012490140L 6POS ≈=+++=
Procena dužine šipki u gornjoj zoni
cm45120375020Ø820Ø3aa2 =×=×= .
cm12416675020Ø820Ø6bb1 =×=×= .
cm62166375020Ø820Ø3bb2 =×=×= .
cm3903871406245140L 7POS ≈=+++=prema EC2 !!!
13
25
1 2
25 40
185 205
3 Ø20
25 9456 Ø20495
7 Ø20390
45 60
7 3Ø20 6 3Ø20
265230
6 3Ø203 2Ø20
8 2Ø1210 Ø10/12.5
7 3Ø20
15
50
5.2
40
3 2Ø206 3Ø20
1 2Ø209 2Ø12
Procena dužine šipki u gornjoj zoni
26
L1-20 = 4.80
0.4×L = 2.40 2.40
1 2
L = 6.00
2Ø20
3Ø20
5Ø20
3Ø20
2Ø20
xPOS 5 = 3.04
v+LbxPOS 4 = 3.72
v+Lbv+Lb
v+Lb
Procena dužine šipki u donjoj zoni – krajnja polja
14
2727
m0434080422Ø522Ø2L
MMLx 0
10
5POS ... =×=×=×=
cm1022.275.3132Lh75.0LvLv 1b1bs ≈×+≈+×=+=+
cm510508102304102LvxLvL b5POS
b5POS ≈=++=++++≈
cm580576102372102LvxLvL b2b4POS ≈=++=++++≈
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 0
20
4POS ... =×=×=×=
28
0.4×L = 2401 2
5 Ø20505
1 Ø20
25 645
4 Ø20
25 540
5 2Ø204 1Ø201 2Ø20, ,
25 40
4 1Ø205 2Ø20
255 = 5102
290 = 5802
8 2Ø12
1 2Ø205 2Ø20
3 2Ø20
10 Ø10/30
15
50
40
4 1Ø20
35
Procena dužine šipki u donjoj zoni – krajnja polja
