-tf - UL FGGfgg-web.fgg.uni-lj.si/KMLK/Sebastjan/osnove...-tf t I r--+ E MuE: Mu '7ut '7u; Nu'Zr...
Transcript of -tf - UL FGGfgg-web.fgg.uni-lj.si/KMLK/Sebastjan/osnove...-tf t I r--+ E MuE: Mu '7ut '7u; Nu'Zr...
VE - velika ekscentrienost
-tf tI r--+E
MuE: Mu
'7ut
'7u;
Nu'Zr
kn=#;.Enojna a rmatu ra:
Ae = r".-u-u?,- + +i.Ekscentridni nategEkscentridni tlakCisti upogib
N>0N <0N=0
Pravokotni prerez enojna armatura Tabela 2
ts tx" l 1.00 1 "25 1.50-tr [?- ]
1 .7 5 2.00 2 .25 2.50 2.75 3.00 3.25 3.50
.400 .455 .500 .539 " 571 .600 .6251 .1 63 1 " 193 1.220 1 .247 1 .273 1 .2gg 1 .323.143 . 1gg .230 .26g .2gg .925 .346
kx1.5 kr
krr
.647 .667 ,684 .7001.347 1.370 1.391 1.411.364 .379 .391 .402
kx3.0 ks
krr
.250 .294 .3331"096 1.117 1.137.095 "130 .165
.369 .400 .4291"157 1.176 1.196
. 197 .227 .252
.455 .479 .500 .52A .5381.216 1.235 1.254 1.272 1.2g9.274 .293 .310 .325 .339
kx4.0 ks
kn
.200 "2391.075 1.092.078 . 108
"2731.109
. 138
.3041.126
. 168
.3331.143
. 194
.360 .3951.160 1,177.218 .24A
.407 .429 .448 .4671.194 1.210 1.226 1.241.259 .276 .291 .304
kx5.0 ks
krr
. 167 "200 .2311 " 062 1.076 1.091.065 .092 .119
.259 .296 .310 .333 .355 .375 .3g4 .4121.105 1 "120 1.135 1.150 1.165 1.179 1.193 1.2A7.145 .170 .192 .213 .231 .247 .262 .276,
kx6.0 ks
krr
.143 .172 .20A .226 "2501.053 1.065 1.079 1.091 1.103
.057 .090 .104 .12g .151
.273 .294 "314 .333 .351 .36S1.117 1.130 1.143 1.156 1.169 1.181.172 . 1 91 .208 .224 .239 .253
kx7.0 ks
kn
.125 .152 .1761 .046 1 .057 1 .069
. 050 .071 . 093
,200 .222 ,243 .263 "2g2 ,300 .g17 .3331.079 1.091 1.103 1.115 1.127 1.13g 1.150 1.161
. 1 15 .136 .155 .173 .190 .205 .21g .2g2
kxkskn
.111 .135 .1591 .040 1 .050 1 .060.044 .064 ,094
. 1 79 "200 .2201.071 1 ,091 1.092.104 .123 .141
.239 .256 .273 .2gg .3041.103 1 " 1 13 1.124 1. 135 1.145.159 .174 .1gg .202 .215.
kx9.0 ka
kn
.100 .122 .143 .1631.036 1.045 1 .054 1 .064.040 .059 .076 .095
" 192 .200 .2171"073 1.083 1.093.1 13 .130 .146
"234 .250 .265 .2801.103 1.1 13 1.122 1.132
" 161 .17 5 . 1gg .200
kx10. 0 ks
kn
.091 .111 .1301.033 1.041 1"049.037 .053 ,070
.200 .216 .231 .245 .2591.085 1.094 1.103 1.112 1.121.135 .149 .163 .175 ,197'
.149 .167 .1941.058 1.067 1 .076.087 .104 .120
Nu x
x
Ni'/ut
l,lu
l,lu r
kn
l4t'7ut
pf rtd,.-->l
I
l.{u Nu ' Zr
l,lu s-E;. ilTz
Ekscentrien'i nateg N > 0Ekscentrienitlak N<0Cisti upogib N=0
6=4h
6 s 0.076 > 0.07
k'
k'
1
1
Dvojna I rmat u ra :
Ar = k..+tr +
A'3 = k"k'r'+fu
NuE-
NI,
A,,
oTc
A.
Pravokotni prerez - dvojna armatura Tabela 3
-€r [x" ]ta tx" lkn kE
3.51.5k; kn
3-53.0ks k; kn
3.55-0ke kl kn
3"510- 0
kr kl
430 1.389450 1.375490 1.350520 1.334570 1.312
071115194245318
350360380390410
1
1
1
1
1
281 .036276 .065265 .1 19260 .143251 .1gg
290 1.200300 1.196310 1 . 192324 1.199330 1.195
340 1.192360 1.176380 1.171390 1.169410 1.164
430 1.160460 1.154490 1.149520 1.145550 1.141
051085117147175
242250294314351
384430469504535
, 190 'l .12a " 016,200 1"119 .069210 1.116 .117220 1,114 .160224 1.114 .160
230 1"112 .20024A 1. 1 1 1' .236250 1.109 "27A270 1. 107 .330280 1. 106 .356
290 1.105 .391310 1.103 .426330 1. 101 " 465350 1. 100 .500370 1.099 .531
400 1.097 .572430 1,095 .607470 1,093 .647
620680750850970
130350670210270
1
1
1
293 .379273 .440255 .499234 .567214 .630
195 .693175 .755156 .817136 .880116 .943
420 1,247440 1.239460 1.232480 1.226510 1 .217
209249285318362
1
1
1
2
3
1
1
1
1
1
5305603e06306T0
720780840
1
1
1
1
1
211 .389204 .426198.459190.499183 .532
176.570168.6091 61 .642Koefi c ient k'
1
1
1
590 1.137 "572630 1.133 " 604690 1.129 .645
6=a'/h krYlfrr lr IVt' r9l9
1 . 000 1 .147 .712r9u82A
I
1
llq n9f Y
120 .713c tu t.uvz . o6u560 1.091 .716
08 1.01 1
09 1 .02210 1.03312 1.05714 1 .09116 1.10718 1.13420 1.163
1
1
1
1
1
110250424650980
1
1
1
1
1
140.749133 .794126 .819119,955112 . gg2
1
1
1
1
910 1.115020 1.1 1 1
160 1.107350 1.102620 1.099
749784819855892
620 1 "0gg690 1.099790 1.096920 1.095100 1.093
751783820856892
370 1.092 .g2g810 1.090 "964
137
/.- ruz
Pr. P1-3. Velika ekscentriinost - enojna armatura: betoni obiiajne trdnosti
Mmr: Msa - I{u '2,M-,k,:-+ )k,ink," -f,u 'b'd
A, : k,y*!"-+Nuo ; x - kr.dd.6, Os
€t
[g] V K,/ )-
/,;J J Nuu/,:;:'''I
(.O.g
\8l-'*
ll
?)f.t
I
{-I
I
I
"ll
I
'\l
Armatura
4l%o1
Beton
< c50/60s 500-A s 500-8 s 500
os
tkN/cm2l
os,
lkN/cm2l
os
tkN/cm2l -0,50 -l,00Ql%ol
-1,50 -2,00 -2,50 -3,00 -3,50
30,00 30,00 30,00 l15kxktka
0,2541,093
0,052
0,4001,163
0,143
0,5001,2200.230
0,5711,213
0,299
0,6251,323
0,346
0,667 0,7001,370 l,4LL0,379 0,402
43,48 43,48 43,48 2,17kx
kka
0,1871,068
0,040
0,3 15
1,r240,117
0,4081,r730,196
0,4791,219
0,262
0,535
1,264
0,310
0,580 4,6171,301 .1,345
0,345 0,371
43,56 43,54 43,48 3
kx
l$kd
0,1431,051
0,031
0,2501,096
0.095
0,333
1,137
0,165
0,4001,176
0,227
0,455
1,216
0,274
0,500 0,5381,254 1,2890,310 0,339
43,65 43,61 43,48 4
k*ktka
0,111
1,039
0,024
0,2001,075
0,078
4,273
1,109
0,138
0
I
0
JJJ
143
194
0,385
T,I7]00244
0,429 0,4671,210 1,241
4,276 0,304
43,75 43,68 43,48 5
k.kt
0,091
1,0320.020
0,167
r,0620.065
0,2311,091
0,I19
0,2861,1200,170
0,333
I ,1500,213
0,375 0,4121,179 r,2070,247 0,276ka
43,84 43,16 43,48 6
lcx
ks
ka
4,0771,027
0,017
0,143
1,053
0,057
0,2001,078
0,104
0,2501 ,1030,151
0,2941,130
0,191
0,333 0,368
1,156 1,181
0,224 0,253
43,94 43,83 43,48 7
lL\
l{s
ka
0,4671,0230,015
0,1251,0460,050
a,ll61,068
0,093
0,2221,091
0"136
4,263l,l l5aJ73
0,300 0,333
1,138 l,16l0,205 0,,232
44,03 43,90 43,48 8
kx
ktkd
0,0591,021
0,013
0,lll1,040
0,044
0,1 58
1,060
0,084
0,2001,081
0.123
0,238
I ,1030,158
0,213 0,3041,124 1,145
0,199 0,215
44,13 43,97 43,48 9
lLt
ks
kd
0,053
1,018
0,0L2
0,1001,036
0,040
0,1431,054
0,076
0,1 82
1,073
0-l l3
0,217
1,093
0-146
0,250 0,280l,l 13 1,1320,175 0,200
44,22 44,05 43,48 10
kx
kt0,0481,017
0,01I
0,091
1,033
0,037
0,130T,049
0,070
0,1611,067
0.104
0,2001,085
0.135
0,231 0,259I , 103 1,121
0.163 0"187ka
44,70 44,41 43,48 l5k*kka
0,0321,011
0,007
0,0631,022
0,025
0,0911,034
0,049
0,1 l81,0460.075
0, i43I,0590.099
0,161 0,189I ,012 1,085
0.121 0.141
45,1 8 44,71 43,48 20
k*ks
ka
0,0241,009
0,006
0,048
1,011
0.019
0,0701,0260,038
0,091
1,035
0,059
0,lll1,045
0.078
0,1 30 0,149I ,056 1,066
0.096 0.113
45,41 44,96 43,48 22,5
kx
kt0,0221,008
0,005
0,043
1,015
0.017
0,063
1,023
0,034
0,0821,0320.053
0,100
|,4410.070
0,I l8 0,135
1,050 1,059
0.087 0.r03ktt
45,50 43"48 30
k,ktkd
0,0161,006
0,004
0,0321,01 I
0.013
0,0481,0r70,426
0,063
1,0240.041
0,077
1,031
0,055
0,091 0,1041,038 1,045
0,068 0,081
46,23 43,48 40
kx
l{s
ka
0,0121,004
0.003
0,0241,009
0.010
0,0361,013
0.020
0,04t3
1,018
0.03r
0,0591,024
4,042
0,070 0,0801,029 I ,0350,053 0,063
46.59 43,48 45
kx
ks
ka
0,011
1,004
0.002
0,022
1,008
0.009
0,0321,012
0.018
0,043
l,0ik0.028
0,053
l,a2l0.038
0,063 0,0721,026 1,031
0,047 0,057