Upload
aleksandar
View
126
Download
8
Embed Size (px)
SPECIJALNE VRSTE BETONAPodela prema nameni Hidrotehniki beton, Beton za kolovozne konstrukcije, Prethodno napregnuti beton, Prefabrikovani beton, Dekorativni (vidljiv) beton, Betoni za zatitu od zraenja (teki betoni), Termoizolacioni betoni i malteri (laki betoni), Hidroizolacioni betoni i malteri, Zvukoizolacioni betoni i malteri (laki betoni), Betoni i malteri za zatitu od poara, Reparaturni betoni i malteri, itd.
SPECIJALNE VRSTE BETONAPodela prema sastavu i svojstvimaSamozbijajui (samougraujui) betoni,Mikroarmirani betoni,Reciklirani betoni,Betoni visokih performansi (vrstoa),Uvaljani betoni,Polimer betoni,Polimerima modifikovani betoni,Torkret (prskani) betoni, "Zeleni" betoni, itd.
SPECIJALNE VRSTE BETONA
U poslednje vreme sve je bri i intenzivniji razvoj novih vrsta i podvrsta specijalnih betona. Ovakva situacija uslovljena je, pre svega, pojavom novih (hemijski dodaci, vlakna, polimeri) i usavravanjem starih (tradicionalnih) komponentnih materijala (cementi, agregati, mineralni dodaci). Paralelno sa savremenim materijalima, razvijaju se i nove tehnologije spravljanja, transporta, ugradnje i nege betona.Razlozi za ovakav trend su brojni, ali su najvaniji meu njima: bra, kvalitetnija i jeftinija gradnja, dobijanje funkcionalnijih i trajnijih konstrukcija (objekata), ekoloki aspekt (principi energetske efikasnosti i odrivog razvoja).
SPECIJALNE VRSTE BETONA Samozbijajui betoniSamozbijajui (samougraujui) beton, poznatiji kao SCC (Self-Compacting Concrete) je po svojoj prirodi takav beton koji nakon unoenja u oplatu ne zahteva vibriranje. Zbijanje (kompaktiranje) ovog betona u svakom delu ili u svakom uglu oplate, ukljuujui i njene teko pristupane i najgue armirane delove, ostvaruje se bez ikakvih spoljnih sila, osim sile gravitacije, tj. sopstvene teine betona. Svea betonska meavina uneta u oplatu tee lagano i potpuno ispunjava ak i najmanje prostore izmeu ipki armature, odnosno izmeu armature i oplate. Bez obzira na visok stepen fluidnosti, ovakav beton ima istovremeno i vrlo visoku otpornost na raslojavanje (segregaciju).Razvijen tokom poslednje decenije prolog stolea u Japanu, SAD i zapadnoj Evropi, danas se koristi u celom svetu, pa i kod nas (na primer kod izvoenja Avalskog tornja i nekoliko poslovnih objekata na Novom Beogradu).
SPECIJALNE VRSTE BETONA Samozbijajui betoniSCC Beton :je sposoban da tee i da se konsoliduje pod uticajem svoje sopstvene teine,kompletno ispunjava oplatu ak i u sluaju najgue armaturne mree, zadrava homogenost, ne zahteva zbijanje (kompaktiranje). visoko je fluidan (tekue konzistencije),otporan je na segregaciju (raslojavanje).
SPECIJALNE VRSTE BETONA Samozbijajui betoniRe je, dakle, o tiksotropnoj betonskoj meavini koju karakterie vrlo visoka sposobnost rasprostiranja, ak i kroz prepreke koje predstavljaju gusto rasporeene (nagomilane) ipke armature bez segregacije. Ovakva svojstva samozbijajueg betona postiu se dodavanjem betonu hemijskih dodataka tipa hiperplastifikatora (HRWRA), najee u kombinaciji sa jednom novom vrstom hemijskih dodataka za modifikaciju viskoziteta ("Viscosity-Modifying Admixture"- VMA) i primenom odreene koliine finog mineralnog dodatka - praha (elektrofilterski pepeo, fino samlevena zgura visokih pei, silikatna praina, kameno brano i dr.). Najvee zrno agregata najee ne prelazi 20-25 mm, premda ima i primera primene i krupnijeg agregata, do 40 mm. S obzirom na uglavnom niske vrednosti vodocementnog faktora (najee ispod 0,40), pored svih napred navedenih svojstava, ovi betoni uglavnom postiu i vrlo visoke vrstoe, mada ima i primera betona za masivne elemente i konstrukcije sa niim koliinama cementa (200-250 kg/m3) i sledstveno tome znatno viih vodocementnih faktora, kada su vrstoe osetno nie: 25-30 MPa.
SPECIJALNE VRSTE BETONA Samozbijajui betoniOsnovni razlozi za pojavu SCC-a u Japanu (a kasnije i u drugim razvijenim zemljama):
Narastajui problemi trajnosti i propadanja betonskih konstrukcija, Nemogunost efikasnog kompaktiranja betona kod sve veeg broja tankozidnih i/ili gusto armiranih elemenata konstrukcija, Akutni nedostatak dovoljnog broja kvalifikovanih radnika, u prvom redu "betoniraca koji rade na vibriranju betona, Smanjenje potronje energije i trokova angaovanja opreme i radne snage (problemi osiguranja radnika i trokovi leenja bolesti drhtanja ruku i sindroma mrtvih prstiju"), Oteani uslovi rada u gradskim jezgrima (mali radni prostor, nepristupani elementi, problemi buke i vibracija, itd.), Efikasnija i jevtinija prefabrikacija betonskih elemenata.
SPECIJALNE VRSTE BETONA Samozbijajui betoniSCC Klasian beton: Razlike u sastavu
SPECIJALNE VRSTE BETONASCC Kontrola kvaliteta Test metode
SPECIJALNE VRSTE BETONASCC Kontrola kvaliteta Test metodeRasprostiranje: 60 - 70 cmJ - RingV - Levak
SPECIJALNE VRSTE BETONA SCC Struktura ovrslog betona U strukturi ovrslog SCC-a prisutna je vea koliina cementnog kamena nego kod klasinog betona, ali je njegov kvalitet generalno bolji. Ovo stoga, to se radi o homogenijim meavinama, sa niim v/c faktorom, manjim sadrajem uvuenog vazduha i veim koliinama sitnih estica (filera). Pri tome ovaj filer moe dodatno da doprinese ukupnom porastu vrstoe betona - ako je re o silikatnoj praini, zguri ili pucolanu.
SPECIJALNE VRSTE BETONA SCC Primeri primene
Najvia zgrada na svetu Burj Dubai
Dusan
Miks dizajn: MB 80Cement 380 kgFlyash 60 kgSilica fume 44 kgVoda 132 lV/C 0.27Burd DubaiCena: $ 20 milijardi.Najvia zgrada: > 800 m280.000 m3 betona> 800.000 l superplastifikatora3.000 radnikaTrajnost: > 100 godinaMaterijali: 230.000 m3 betona + 31.400 t elikaZavrena: krajem 2009. godineNovi rekord: pumpanje na visinu 452 m
Dusan
REKORDERI
Dusan
Bajka o 1000 & 1 mikseru
Dusan
SPECIJALNE VRSTE BETONA Mikroarmirani betoniPoznato je da beton, kao kompozitni graevinski materijal, vrlo slabo prihvata i podnosi napone zatezanja, za razliku od napona pritiska. Ova injenica uvela je, kao praktino obaveznu, upotrebu eline armature u zategnutim zonama betonskih elemenata. Na taj nain, sprezanjem dva sutinski razliita materijala (betona i elika), nastao je armirani beton - kompozitni materijal koji je u oblasti graevinskog konstrukterstva obeleio 20. vek, a po svemu sudei (uz odreene modifikacije i inovacije), ostae vodei graevinski materijal i u 21. veku. Jedan od znaajnih produkata ovakvog razvojnog trenda u oblasti graevinarstva je i tzv. mikroarmirani beton (Fiber Reinforced Concrete), tj. beton sa dodatkom vlakana koja predstavljaju svojevrsnu mikroarmaturu. Generalno, mikroarmirani betoni predstavljaju kompozitne materijale dobijene ojaanjem cementne matrice pomou ravnomerno rasporeenih - dispergovanih vlakana. Ovakva koncepcija ne predstavlja nita novo ona je prisutna u graevinskoj praksi znatno due nego to je to sluaj sa upotrebom betona. Na primer, vlakna dobijena od slame ili ivotinjske dlake koriena su hiljadama godina u cilju poboljanja svojstava opeke.
SPECIJALNE VRSTE BETONA Mikroarmirani betoniIdeja: dodavanjem odreene, optimalne koliine vlakana organskog ili neorganskog porekla u sveu betonsku meavinu, dobiemo kompozit sa poveanom trajnou i unapreenim fiziko-mehanikim svojstvima, kao to su na primer: vrstoa (pri zatezanju, savijanju ili smicanju), ilavost (duktilnost), mogunost kontrolisanja broja i dimenzija prslina, otpornost na razliite uticaje (skupljanje, teenje, udar, abrazija, temp.promene, dejstvo mraza, poar, zamor, itd).
SPECIJALNE VRSTE BETONA Mikroarmirani betoni - VRSTE VLAKANA Prirodnog porekla
celuloznapamunajutanaod konopljeod bambusa, i dr.Vetakog porekla
elina (od obinog ili nerajueg elika)polimerna (polipropilenska, najlonska, polietilenska, karbonska, itd.)mineralna (staklena, azbestna i dr.)
SPECIJALNE VRSTE BETONA Mikroarmirani betoni - VRSTE VLAKANA Podela vlakana prema mehanikim i deformacionim svojstvima materijala Napon (MPa)Dilatacija (%)
SPECIJALNE VRSTE BETONA Mikroarmirani betoni3 D Raspored PP vlakana
SPECIJALNE VRSTE BETONA Mikroarmirani betoni
RAZLIKA IZMEU MONOFILAMENTNIH I FIBRILIZOVANIH VLAKANA Monofilamentna FibrilizovanaSPECIJALNE VRSTE BETONA Mikroarmirani betoni
SPECIJALNE VRSTE BETONAMikroarmirani betoni - Dijagrami---- FRC---- Plain Concrete
Chart2
00
1.9815482.715477
2.1410722.727382
2.3053582.742263
2.4797632.754168
2.647622.766668
2.7857152.777977
3.1261922.796429
3.1809532.813692
3.1791682.849406
3.2904772.816072
3.5107152.855953
3.5333342.868453
3.647622.727382
3.7767872.915477
3.921432.929763
4.0607152.941668
4.182742.957739
4.295242.770834
4.4380972.986906
4.5785732.993453
4.7255973.010715
4.8863113.029168
5.0357163.038692
5.1630973.056549
5.3255973.065477
5.4696453.081549
5.6458353.09762
5.8053592.967858
5.9619073.114882
6.1339313.126787
6.3113123.157739
6.4696453.151192
6.6392883.138692
6.8607163.235715
7.019053.299406
7.1714313.358334
7.3684553.404168
7.5416693.478572
7.6940513.553572
7.8482173.62143
8.0315513.692859
8.1738123.761906
8.3261933.836311
8.4922653.812501
8.6601223.984525
8.8351224.048811
9.0160744.009525
9.1910744.207144
9.3648844.293454
9.5196464.359525
9.6845274.438692
9.880364.391668
10.038694.577383
10.241674.662502
10.405364.727978
10.571434.808335
10.753584.795835
10.933934.964288
11.117275.067264
11.306555.145835
11.496435.216668
11.669055.298216
11.847625.39524
12.042275.460716
12.244655.563097
12.408345.641073
12.65.716669
12.780965.788097
12.963695.782145
13.171435.976192
13.329176.063097
13.507746.139288
13.689296.222026
13.87566.330359
14.055366.399407
14.252396.491074
14.420246.595836
14.601796.688692
14.794656.761907
14.978586.863692
15.179176.947026
15.360727.032145
15.559537.128574
15.70127.24286
15.847627.328574
16.117277.410122
16.130367.507146
16.260727.588098
16.405967.683336
16.507157.778574
16.606557.877383
16.711917.997622
16.806558.101193
16.898828.184527
17.00068.276788
17.092278.394646
17.207748.481551
17.310728.592265
17.397038.698217
17.502988.812503
17.611918.920241
17.707159.033337
17.804779.14286
17.91319.127979
18.029179.325003
18.108349.455956
18.197039.577979
18.27629.694051
18.374419.791075
18.469059.885123
18.551799.99167
18.6440510.10893
18.7220310.23334
18.7994110.34524
18.8851310.43988
18.9553610.57143
19.0494110.68988
19.4220310.78215
19.2446510.90953
19.3059610.83988
19.3726311.12262
19.4654811.25655
19.5416711.36488
19.6285811.48155
19.7267911.61072
19.801211.71965
19.8970311.82619
19.9839411.9625
20.0541712.10715
20.1577512.28512
20.2327512.39822
20.3291712.62917
20.5904812.8
20.4869112.97917
20.5827513.16667
20.6595313.35
20.7500113.51548
20.8482213.7131
20.9303613.875
21.0029814.05477
21.0988214.23274
21.200614.43274
21.2601314.62143
21.3464414.80893
21.438714.99881
21.5523915.03274
21.6196515.37024
21.7017915.54465
21.7696515.75298
21.8642915.94941
21.9553616.13572
22.0357216.3131
22.1232216.50536
22.2160816.6887
22.300616.82262
22.3976317.08393
22.4815617.26072
22.5666717.31727
22.9113217.63632
22.8238217.84822
22.8404818.03989
22.9065618.2381
23.0000118.43453
23.0952518.62501
23.1916718.80179
23.2625118.97322
23.3500119.15715
23.4273919.33751
23.5285819.52144
23.6238219.67382
23.7113219.8256
23.8023919.97084
23.876220.11846
23.9523920.26965
24.0398920.43691
24.1452520.58394
24.2214420.73156
24.313720.89167
24.3970321.02798
24.488721.17084
24.600621.31786
24.6797721.5006
24.7565621.64048
24.8583421.79108
24.9363221.90834
25.0220321.99763
25.113722.24941
25.2023922.39108
25.2964422.53275
25.7029822.68096
25.4833422.83453
25.5565622.98572
25.6446523.16786
25.7369123.3506
25.8470323.54525
25.9452523.73036
26.0172723.93096
26.0785824.10775
26.1857224.31191
26.2750124.50239
26.3833424.70715
26.4779824.90417
26.5750125.09048
26.638725.26786
26.7339425.39584
26.8113225.6512
26.9232225.81667
26.9970326.04882
27.0797726.25656
27.1702526.4381
27.2809626.61191
27.3410826.68513
27.4541727.0387
27.5238227.23334
27.6119127.42977
27.700627.6262
27.8000127.81906
27.913128.02084
27.9863228.19703
28.0595328.4756
28.1529828.69882
28.2309628.93572
28.3238229.15477
28.4553729.38394
28.6476329.58691
28.563729.83453
28.6601330.0756
28.7470330.30953
28.8101330.54346
28.8857230.77441
28.963131.02739
29.0535831.27025
29.1482231.5018
29.2404931.73811
29.3202531.97084
29.3845332.20596
29.4541832.45239
29.5357232.67084
29.5928732.91311
29.6678733.04584
29.7297733.34584
29.8095333.52323
29.8898933.68156
29.9678733.82382
30.3720333.94227
30.1351334.04584
30.1910834.11608
30.2470334.17858
30.3297734.23275
30.3916834.28275
30.4696534.34585
30.5279934.39287
30.638734.43811
30.701234.49882
30.7660834.53513
30.825634.5887
30.8916834.64346
30.9672734.69406
31.0506134.74942
31.1220334.80358
31.1898934.86073
31.2529934.9262
31.3404934.98037
31.4196535.05894
31.4744135.07204
31.5523935.16489
31.6089435.2268
31.7398935.27085
31.8583435.32323
31.8327535.39108
32.201235.45716
31.9744235.43037
32.0494235.5512
32.1160835.66608
32.1976335.71966
32.2797735.78989
32.3482235.85656
32.4208435.91608
32.4773935.98275
32.5494236.04882
32.6458436.11192
32.6845336.17918
32.7434636.25716
32.7910836.33454
33.1095336.39049
32.9059636.48037
32.9690636.53394
33.0494236.61608
33.0791836.68156
33.3226336.74347
33.1881136.81847
33.2333436.87442
33.3065636.94644
33.338737.01013
33.3851337.06489
33.4791837.14108
33.5047737.20061
33.5381137.27739
33.6273937.34585
33.6559637.40299
33.7077537.47025
33.8369237.53692
33.7952537.6012
33.8422737.67025
33.9023937.73692
33.9535837.81311
34.0077537.89168
34.0660837.94406
34.1160838.01966
34.1648938.09525
34.2220438.16787
34.2577538.21966
34.3220438.30001
34.3583538.35061
34.4125138.41013
34.4660838.48275
34.5083538.54585
34.5613238.61132
34.6095438.69585
34.751238.7643
34.7154938.82323
34.7815638.90954
34.8273938.97799
35.1714439.04585
34.9190638.95954
34.9625139.15001
35.0178739.22978
35.0750139.29228
35.1285839.3524
35.1821539.4262
35.2291839.50716
35.451839.58156
35.3279939.63513
35.3785839.69585
35.4279939.77323
35.4803739.8399
35.5446639.90656
35.5738239.96132
35.6500140.04347
35.8494240.10061
35.7404940.17442
35.7821640.23454
35.8410840.30656
35.8845440.3768
35.9339440.4274
36.0029940.49942
36.0434740.56192
36.0982340.62144
36.1696640.70537
36.1839440.77085
36.2321640.87978
36.2857340.93156
36.3464441.00299
36.3976341.06787
36.4619241.15002
36.4988241.23811
36.5696641.33037
36.5940641.42561
36.6553741.52085
36.7083541.61549
36.7410841.71906
36.801841.81966
36.8458541.93216
36.8910842.03573
36.9398942.14228
37.0029942.24763
37.0410842.34406
37.0946642.45894
37.1428742.59466
37.1898942.72323
37.2404942.83633
37.2851342.9649
37.3404943.07144
37.3845443.19406
37.4315643.32383
37.5047843.45299
37.5309743.56609
37.5839443.65656
37.6476343.72442
37.7333543.79585
37.8029943.86311
37.8041843.94823
37.8523944.1
37.8833544.05954
38.0666844.13871
38.0071644.19585
38.0297844.25299
38.0857344.31311
38.1363244.38811
38.1910944.44585
38.238744.51013
38.5773944.55656
38.3744244.6149
38.3988244.69287
38.4279944.75894
38.4744244.81549
38.5488244.87323
38.589344.93573
38.626844.99109
38.6738245.04644
38.7178745.11371
38.7666845.20656
38.8232345.26966
38.8785945.33097
38.9095445.39347
38.9595445.44406
39.0065645.50121
39.1452545.58037
39.263745.61906
39.1494245.70656
39.2059745.76549
39.2488245.82799
39.3077545.89704
39.3488245.96073
39.4047845.39109
39.4637146.08335
39.4976346.14763
39.5351346.21906
39.5797846.26549
39.6238246.32621
39.6726346.39109
39.7404946.45359
39.8035946.50359
39.8345446.46549
39.8690646.64287
39.9256146.69644
39.9690646.74942
40.0178746.80775
40.1351346.86787
40.2357346.9268
40.1482346.98692
40.1940647.04942
40.2446647.08871
40.314947.1774
40.3666847.25954
40.4000247.30597
40.4458547.38156
40.4857347.43097
40.5529947.48275
40.5732347.54823
40.6137147.5899
40.6678747.67144
40.714947.74525
40.7589447.79823
40.8006147.83871
40.8583547.89228
40.8934747.9399
40.9363248.00894
40.9839448.07263
41.0446648.13454
41.1000248.1774
41.1541848.23394
41.1762148.31311
41.2166848.36371
41.2577548.41549
41.2970448.47502
41.6172848.52799
41.4512148.52383
41.4631148.64168
41.489348.69049
41.5357348.74823
41.5940648.80359
41.6375248.86966
41.6690648.93156
41.7303748.98573
41.7619249.03513
41.8202549.10537
41.8631149.15835
41.8976349.20894
41.9446649.23097
42.2196649.2393
42.0345449.2268
42.0732349.22561
42.1256149.23633
42.1690649.24347
42.2089449.25359
42.2815649.27085
42.3250249.27263
42.3589449.18454
42.401849.30121
42.4732349.34168
42.5113349.34942
42.689349.35835
42.5720449.36966
42.6262149.38097
42.9232349.39466
42.6928749.41252
42.7363349.42263
42.7881149.49466
42.8345449.45418
42.8738349.46847
42.9119249.4893
42.9601349.50002
43.0101349.51787
43.0547849.53454
43.0982349.54704
43.1654949.56371
43.214949.6018
43.2589449.59644
43.2791849.60954
43.3172849.62025
43.3565649.62978
43.4000249.65061
43.4381149.66371
43.4940649.67442
43.5351349.68752
43.7202549.71847
43.8529949.7274
43.6601349.74644
43.7244249.75061
43.7690649.78037
43.7916849.78811
43.8410949.80002
43.8744249.82085
43.9309749.83573
43.9654949.84585
44.0369249.87502
44.0535949.88394
44.0958549.89763
44.1357349.92502
44.1887149.94287
44.239349.98097
44.2762149.96966
44.5416849.98216
44.3470450.00775
44.3845450.02204
44.4339450.03454
44.4708550.05597
44.5196650.06728
44.5619250.08513
44.5982350.10716
44.6488350.12442
44.9202550.14585
44.7345450.16252
44.7690650.1768
44.8196650.19466
44.8690650.21252
44.901850.33752
44.9446650.24287
44.9928750.26371
45.0785950.30359
45.0660950.29942
45.1131150.31013
45.1434750.3274
45.1857350.34883
45.2285950.35954
45.289950.37502
45.5797850.39823
45.3666850.41728
45.4035950.43394
45.4351350.44525
45.4803750.46728
45.5226350.49168
45.5881150.49109
45.6160950.52144
45.652450.54168
45.6970450.55597
45.7291850.56728
45.7726350.58037
45.8226350.62323
45.8660950.62621
45.8904950.6399
46.2119250.65835
45.9779950.66609
46.0095450.68394
46.0631150.70537
46.1029950.72263
46.1440650.74049
46.1875250.75537
46.227450.76311
46.2887150.75894
46.3131150.7643
46.3529950.78752
46.4006150.80716
46.5154950.82621
46.6113350.84525
46.5006150.85716
46.5309750.87442
46.5815650.90121
46.6381150.94168
46.6964450.95061
46.7107350.9643
46.8904950.98037
46.7809750.9893
46.8220451.00954
46.864951.02144
46.8988351.04287
46.9512151.0518
46.9851351.07085
47.0470451.09287
47.0785951.09823
47.1041851.11847
47.1559751.13514
47.1904951.15418
47.2256151.16073
47.2619251.17561
47.3244251.19406
47.3345451.19883
47.3934751.21133
47.4125251.23395
47.4488351.24407
47.4910951.25835
47.5297851.27799
47.5660951.28811
47.6089451.30419
47.6565651.31847
47.7000251.33335
47.7256151.34823
47.7619251.36311
47.802451.37859
47.8595451.39466
47.8797851.41311
47.914351.42323
47.9583551.44645
48.0107351.4649
48.0589451.48038
48.0994251.49704
48.1208551.5024
48.164351.5268
48.1976351.53335
48.2297851.57026
48.2672851.57561
48.3012151.58157
48.3369251.59823
48.3720451.64883
48.4226351.61907
48.4678751.76371
48.4857351.64645
48.5262151.67442
48.5535951.67204
48.6238351.69228
48.6488351.703
48.7006151.72383
48.7172851.7893
48.764951.778
48.7922851.77621
48.8452551.76847
48.8756151.78097
48.8976351.79407
48.952451.81728
49.0012151.82323
49.0154951.83871
49.0750251.8649
49.0958551.88573
49.1285951.903
49.1577551.9149
49.1958551.9149
49.2345451.93038
49.2726351.94407
49.314351.96609
49.3488351.96966
49.3803751.97978
49.4214451.99526
49.4476352.02264
49.4654952.03395
49.552452.04704
49.5672852.04407
49.6410952.05776
49.639352.07859
49.6821652.08038
49.701852.09466
49.7476352.10121
49.7833552.203
49.9196652.13216
49.839952.14942
49.8708552.18335
49.9303752.18216
49.9571652.18157
49.9881152.19883
50.0333552.20835
50.0791852.2393
50.1029952.25716
50.2529952.25002
50.1881152.27561
50.2000252.30538
50.2309752.29585
50.2779952.29169
50.314352.31192
50.3470452.33216
50.5488352.35061
50.414952.35954
50.4601352.36907
50.4750252.38573
50.5178752.37978
50.5464452.38335
50.5750252.39823
50.6113352.41073
50.6404952.42026
50.7881152.428
50.7279952.44823
50.764352.47561
50.7922852.48633
50.8160952.48811
50.8428752.50657
50.877452.52085
50.9059752.51966
50.9416852.53633
50.9815652.53573
51.0256152.54823
51.0422852.55657
51.0815652.578
51.1071652.47204
51.1416852.59704
51.1845452.62026
51.214952.62978
51.2428852.62859
51.2815752.63038
51.3125252.63931
51.3589552.67204
51.3970452.66252
51.4160952.67442
51.464952.70061
51.514952.71311
51.5381152.7155
51.551852.72383
51.5779952.73335
51.6166952.73633
51.6440752.73216
51.6803852.74347
51.7660952.75478
51.901852.75597
51.7833552.57978
51.8256152.77978
51.8547852.8024
51.9006152.80478
51.9095452.803
52.0244252.82859
51.9660952.83157
52.2732352.84883
52.0381152.85597
52.0494252.68692
52.1803852.86847
52.1220452.86192
52.1488352.8649
52.1851452.87442
52.214952.88157
52.2446652.89407
52.2791952.91847
52.3160952.92442
52.3702652.91192
52.3875252.92145
52.4321652.94466
52.4696652.93811
52.5012152.96431
52.5381152.95954
52.5934752.94585
52.6232352.9399
52.665552.9905
52.6958552.99645
52.7339553.00181
52.764953.00657
52.8053852.99407
52.82853.00597
52.8809753.01966
52.92853.02323
52.9428853.03157
53.2047853.03395
53.0202653.04228
53.064953.04466
53.0869253.05002
53.1065753.04764
53.1595453.05776
53.1809752.88395
53.2119253.07026
53.2434753.07502
53.2922852.96371
53.3285953.09585
53.3500253.06847
53.3857353.07561
53.42853.10121
53.4619253.11252
53.4958553.10716
53.52853.1024
53.5565753.10895
53.5839553.11788
53.6303853.11847
53.6482353.1399
53.6839553.14347
53.715553.13931
53.7345453.13276
53.7821653.128
53.8077653.11788
53.8464553.11431
53.8875253.10954
53.9041953.10835
53.9506253.10657
53.9839553.09883
54.0107353.09347
54.0363353.08811
54.0714553.05538
54.1000253.02681
54.1291953.0155
54.1601452.99942
54.2035952.96431
54.2047852.92264
54.2416952.90002
54.2833552.88871
54.3083552.87264
54.3440752.83514
54.3672852.81014
54.3964552.78811
54.4262152.78811
54.452452.75716
54.4910952.753
54.5202652.70359
54.5500252.70181
54.5791952.66728
54.6143152.63931
54.6827652.60954
54.7994352.59169
54.7208552.56133
54.7559752.53514
54.7887152.50181
54.8178852.47561
54.8565752.4649
54.8934752.27978
54.9220452.37264
54.9446652.37204
54.9750252.34764
55.0160952.3024
55.0577652.28097
55.102452.2518
55.1357451.97978
55.1815752.16907
55.2291952.1399
55.2672852.10657
55.3137152.07621
55.3553852.04764
55.6256251.9649
55.4476451.9893
55.4916951.99704
55.5256251.94823
55.5684751.89883
55.5994351.85835
55.6434751.82561
56.0059751.79347
55.7268151.62264
55.7607451.73395
55.7952651.71669
55.8226451.68633
55.8595451.62859
55.8982451.52204
55.9452651.54823
55.9726451.51014
56.0101451.4893
56.0363351.44288
56.0607451.39645
56.1089551.36847
56.1315751.3149
56.1601451.2643
56.2452651.24109
56.2256251.1774
56.32851.15537
56.4964550.92323
56.2857451.06311
56.3172851.00121
56.3422850.96966
56.3857450.91073
56.4113350.87502
56.4172850.82502
56.4565750.7899
56.4631250.73275
56.4976450.67442
56.527450.60775
56.540550.55359
56.5726450.49883
56.5910950.45061
56.6107450.41013
56.6458550.3649
56.6660950.33037
56.6851450.29644
56.6982450.24406
56.7053850.20716
56.740550.1649
56.7440750.10061
56.7803850.03692
56.8196649.99347
56.8458649.92442
56.865549.8643
56.8750249.79109
56.8875249.71966
56.927449.65716
56.952449.59704
56.9684749.53454
56.9720549.46847
56.9827649.40894
56.9976449.35299
57.0035949.29049
57.0160949.19823
57.0351449.01252
57.039949.10299
57.0410949.04763
57.0422848.96728
57.039948.89585
57.0416948.85775
57.0285948.77978
57.0244348.6524
57.0178848.6649
57.0190748.56192
57.0083648.54704
56.97848.49406
56.9666948.44168
57.0958648.37859
56.9256248.30597
56.9190748.22799
56.8910948.18871
56.8785948.13633
56.8535948.06668
56.8184747.98633
56.7970547.92799
56.7500247.88752
56.7137147.82025
56.6690747.76192
56.5869347.69109
56.527447.61371
56.4535947.57204
56.3881247.43633
56.3137147.43811
56.2059747.36609
56.1166947.28811
56.0006247.21847
55.8607447.15894
55.7250247.09406
55.5494347.03454
55.37846.97085
55.2000246.90418
54.9869346.83752
54.7797846.7649
54.5303846.69049
54.27846.51668
54.1839546.56966
53.7202646.49466
53.415546.43097
53.0857346.33871
52.7131146.27323
52.301846.22561
51.8500246.15121
51.3452646.06013
50.7869245.97978
50.1702545.81787
49.5208545.82383
48.7315645.74525
47.864345.55597
46.864343.39883
45.4797836.66966
41.2071625.2012
25.2303620
18.963115
17.451210
16.591675
15.995240
15.53334
15.1512
14.83631
14.51608
14.26489
13.98453
13.74108
13.57024
13.39524
13.17798
12.95536
12.62619
11.52798
9.720242
7.943455
6.499407
5.423216
4.629763
3.989882
3.47143
3.030358
2.617858
2.224405
1.829167
1.433929
1.111905
1.018453
1.277977
0.978572
1.064881
1.041667
0.857738
0.827977
0.826786
0.772619
0.672024
0.386905
0.163691
0.100595
0.110119
0.120833
0.128572
0.111905
0.055952
0.02381
0
Mikroarmirani beton
Etalon
Strain - e (%)
Stress s (MPa)
spajic2
0000
19.8154816.666681.9815480.01666668
21.4107218.269242.1410720.01826924
23.0535817.948732.3053580.01794873
24.7976319.230782.4797630.01923078
26.476219.871812.647620.01987181
27.8571520.833352.7857150.02083335
31.2619222.11543.1261920.0221154
31.8095322.11543.1809530.0221154
31.7916821.474373.1791680.02147437
32.9047720.833353.2904770.02083335
35.1071522.756423.5107150.02275642
35.3333421.474373.5333340.02147437
36.476222.11543.647620.0221154
37.7678724.038483.7767870.02403848
39.214323.397453.921430.02339745
40.6071525.000024.0607150.02500002
41.827424.67954.182740.0246795
42.952425.961564.295240.02596156
44.3809725.961564.4380970.02596156
45.7857325.320534.5785730.02532053
47.2559725.320534.7255970.02532053
48.8631127.884634.8863110.02788463
50.3571628.205155.0357160.02820515
51.6309726.923095.1630970.02692309
53.2559729.48725.3255970.0294872
54.6964530.128225.4696450.03012822
56.4583530.448745.6458350.03044874
58.0535930.448745.8053590.03044874
59.6190731.089765.9619070.03108976
61.3393131.410286.1339310.03141028
63.1131233.653876.3113120.03365387
64.6964533.333356.4696450.03333335
66.3928833.974386.6392880.03397438
68.6071635.256436.8607160.03525643
70.190535.576957.019050.03557695
71.7143135.576957.1714310.03557695
73.6845535.576957.3684550.03557695
75.4166937.500027.5416690.03750002
76.9405137.500027.6940510.03750002
78.4821738.141057.8482170.03814105
80.3155138.141058.0315510.03814105
81.7381238.782088.1738120.03878208
83.2619339.42318.3261930.0394231
84.9226541.025678.4922650.04102567
86.6012241.025678.6601220.04102567
88.3512240.705158.8351220.04070515
90.1607441.346189.0160740.04134618
91.9107443.269269.1910740.04326926
93.6488443.910299.3648840.04391029
95.1964643.910299.5196460.04391029
96.8452744.23089.6845270.0442308
98.803643.589779.880360.04358977
100.386944.8718210.038690.04487182
102.416745.1923410.241670.04519234
104.053647.4359310.405360.04743593
105.714348.0769510.571430.04807695
107.535848.3974710.753580.04839747
109.339348.3974710.933930.04839747
111.172750.6410611.117270.05064106
113.065550.6410611.306550.05064106
114.964351.2820911.496430.05128209
116.690551.9231111.669050.05192311
118.476251.9231111.847620.05192311
120.422752.5641412.042270.05256414
122.446553.8461912.244650.05384619
124.083454.166712.408340.0541667
12655.7692712.60.05576927
127.809655.1282412.780960.05512824
129.636956.4102912.963690.05641029
131.714357.6923413.171430.05769234
133.291757.6923413.329170.05769234
135.077458.3333713.507740.05833337
136.892959.2949113.689290.05929491
138.75660.2564513.87560.06025645
140.553660.8974814.055360.06089748
142.523962.1795314.252390.06217953
144.202463.4615814.420240.06346158
146.017965.3846614.601790.06538466
147.946564.4231214.794650.06442312
149.785865.0641414.978580.06506414
151.791764.4231215.179170.06442312
153.607264.4231215.360720.06442312
155.595367.3077315.559530.06730773
157.01266.9872215.70120.06698722
158.476268.5897915.847620.06858979
161.172767.9487616.117270.06794876
161.303668.910316.130360.0689103
162.607270.5128616.260720.07051286
164.059670.1923516.405960.07019235
165.071569.8718416.507150.06987184
166.065570.8333816.606550.07083338
167.119173.7179916.711910.07371799
168.065573.0769716.806550.07307697
168.988273.0769716.898820.07307697
170.00675.3205617.00060.07532056
170.922773.7179917.092270.07371799
172.077475.3205617.207740.07532056
173.107275.6410817.310720.07564108
173.970376.6026217.397030.07660262
175.029876.6026217.502980.07660262
176.119177.2436417.611910.07724364
177.071577.8846717.707150.07788467
178.047777.5641617.804770.07756416
179.13178.2051817.91310.07820518
180.291777.5641618.029170.07756416
181.083478.8462118.108340.07884621
181.970380.1282618.197030.08012826
182.76278.2051818.27620.07820518
183.744178.5256918.374410.07852569
184.690579.4872318.469050.07948723
185.517980.1282618.551790.08012826
186.440582.3718518.644050.08237185
187.220380.4487718.722030.08044877
187.994181.089818.799410.0810898
188.851380.1282618.885130.08012826
189.553682.0513318.955360.08205133
190.494183.0128719.049410.08301287
194.220384.9359519.422030.08493595
192.446582.6923619.244650.08269236
193.059683.653919.305960.0836539
193.726382.6923619.372630.08269236
194.654883.9744119.465480.08397441
195.416783.653919.541670.0836539
196.285885.5769819.628580.08557698
197.267985.5769819.726790.08557698
198.01285.2564619.80120.08525646
198.970385.5769819.897030.08557698
199.839485.5769819.983940.08557698
200.541786.5385120.054170.08653851
201.577585.2564620.157750.08525646
202.327586.21820.232750.086218
203.291787.1795420.329170.08717954
205.904888.4615920.590480.08846159
204.869187.8205720.486910.08782057
205.827588.4615920.582750.08846159
206.595388.4615920.659530.08846159
207.500190.0641620.750010.09006416
208.482290.7051820.848220.09070518
209.303689.1026220.930360.08910262
210.029889.7436421.002980.08974364
210.988290.3846721.098820.09038467
212.00690.3846721.20060.09038467
212.601390.7051821.260130.09070518
213.464492.6282721.346440.09262827
214.38791.9872421.43870.09198724
215.523991.9872421.552390.09198724
216.196591.9872421.619650.09198724
217.017993.5898121.701790.09358981
217.696594.2308321.769650.09423083
218.642993.2692921.864290.09326929
219.553693.5898121.955360.09358981
220.357293.5898122.035720.09358981
221.232296.1539122.123220.09615391
222.160895.833422.216080.0958334
223.00696.1539122.30060.09615391
223.976395.833422.397630.0958334
224.815697.1154522.481560.09711545
225.666797.1154522.566670.09711545
229.113299.0385222.911320.09903852
228.2382100.320622.823820.1003206
228.404899.3590422.840480.09935904
229.065699.6795522.906560.09967955
230.000198.7180123.000010.09871801
230.952599.3590423.095250.09935904
231.9167100.320623.191670.1003206
232.6251100.320623.262510.1003206
233.5001100.961623.350010.1009616
234.2739100.641123.427390.1006411
235.2858100.641123.528580.1006411
236.2382100.961623.623820.1009616
237.1132102.884723.711320.1028847
238.0239102.564223.802390.1025642
238.762103.205223.87620.1032052
239.5239102.564223.952390.1025642
240.3989102.564224.039890.1025642
241.4525103.205224.145250.1032052
242.2144103.846224.221440.1038462
243.137104.487224.31370.1044872
243.9703103.525724.397030.1035257
244.887103.205224.48870.1032052
246.006103.525724.60060.1035257
246.7977106.089824.679770.1060898
247.5656107.051424.756560.1070514
248.5834106.089824.858340.1060898
249.3632108.653924.936320.1086539
250.2203108.012925.022030.1080129
251.137108.012925.11370.1080129
252.0239108.653925.202390.1086539
252.9644108.012925.296440.1080129
257.0298111.85925.702980.111859
254.8334109.615525.483340.1096155
255.5656109.93625.556560.109936
256.4465109.615525.644650.1096155
257.3691110.57725.736910.110577
258.4703111.21825.847030.111218
259.4525111.85925.945250.111859
260.1727111.21826.017270.111218
260.7858112.179626.078580.1121796
261.8572114.102626.185720.1141026
262.7501114.102626.275010.1141026
263.8334114.423126.383340.1144231
264.7798113.782126.477980.1137821
265.7501115.705226.575010.1157052
266.387114.102626.63870.1141026
267.3394114.423126.733940.1144231
268.1132115.384726.811320.1153847
269.2322115.705226.923220.1157052
269.9703117.307826.997030.1173078
270.7977117.307827.079770.1173078
271.7025118.589827.170250.1185898
272.8096116.987327.280960.1169873
273.4108117.948827.341080.1179488
274.5417117.948827.454170.1179488
275.2382117.948827.523820.1179488
276.1191119.230827.611910.1192308
277.006120.192427.70060.1201924
278.0001121.153927.800010.1211539
279.131120.833427.91310.1208334
279.8632120.833427.986320.1208334
280.5953120.192428.059530.1201924
281.5298122.115528.152980.1221155
282.3096122.43628.230960.122436
283.2382124.038528.323820.1240385
284.5537125.000128.455370.1250001
286.4763124.359128.647630.1243591
285.637123.71828.56370.123718
286.6013124.679628.660130.1246796
287.4703123.397528.747030.1233975
288.1013124.359128.810130.1243591
288.8572125.320628.885720.1253206
289.631125.641128.96310.1256411
290.5358125.000129.053580.1250001
291.4822126.602629.148220.1266026
292.4049126.923229.240490.1269232
293.2025127.564229.320250.1275642
293.8453128.846229.384530.1288462
294.5418128.525729.454180.1285257
295.3572128.205229.535720.1282052
295.9287129.166729.592870.1291667
296.6787127.884729.667870.1278847
297.2977126.923229.729770.1269232
298.0953128.525729.809530.1285257
298.8989129.487329.889890.1294873
299.6787129.807829.967870.1298078
303.7203132.692430.372030.1326924
301.3513133.012930.135130.1330129
301.9108131.410330.191080.1314103
302.4703132.692430.247030.1326924
303.2977132.371930.329770.1323719
303.9168132.692430.391680.1326924
304.6965133.333430.469650.1333334
305.2799133.653930.527990.1336539
306.387134.615530.63870.1346155
307.012133.974430.70120.1339744
307.6608134.29530.766080.134295
308.256133.653930.82560.1336539
308.9168135.256530.891680.1352565
309.6727135.897530.967270.1358975
310.5061138.141131.050610.1381411
311.2203137.820631.122030.1378206
311.8989136.859131.189890.1368591
312.5299137.500131.252990.1375001
313.4049138.461631.340490.1384616
314.1965139.102631.419650.1391026
314.7441137.179631.474410.1371796
315.5239138.461631.552390.1384616
316.0894138.782131.608940.1387821
317.3989140.064231.739890.1400642
318.5834141.025731.858340.1410257
318.3275141.346231.832750.1413462
322.012144.230932.20120.1442309
319.7442141.025731.974420.1410257
320.4942141.666832.049420.1416668
321.1608141.666832.116080.1416668
321.9763143.269332.197630.1432693
322.7977144.230932.279770.1442309
323.4822144.230932.348220.1442309
324.2084144.551432.420840.1445514
324.7739144.230932.477390.1442309
325.4942144.551432.549420.1445514
326.4584145.192432.645840.1451924
326.8453145.833432.684530.1458334
327.4346146.79532.743460.146795
327.9108145.512932.791080.1455129
331.0953147.756533.109530.1477565
329.0596147.115532.905960.1471155
329.6906146.79532.969060.146795
330.4942146.79533.049420.146795
330.7918147.43633.079180.147436
333.2263149.038633.322630.1490386
331.8811148.07733.188110.148077
332.3334148.397533.233340.1483975
333.0656148.71833.306560.148718
333.387150.320633.33870.1503206
333.8513149.679633.385130.1496796
334.7918149.038633.479180.1490386
335.0477149.038633.504770.1490386
335.3811150.000133.538110.1500001
336.2739150.961633.627390.1509616
336.5596151.282233.655960.1512822
337.0775152.884733.707750.1528847
338.3692152.564233.836920.1525642
337.9525150.961633.795250.1509616
338.4227149.038633.842270.1490386
339.0239152.564233.902390.1525642
339.5358152.564233.953580.1525642
340.0775152.564234.007750.1525642
340.6608152.884734.066080.1528847
341.1608154.166834.116080.1541668
341.6489153.205234.164890.1532052
342.2204153.846334.222040.1538463
342.5775153.205234.257750.1532052
343.2204153.205234.322040.1532052
343.5835153.846334.358350.1538463
344.1251154.166834.412510.1541668
344.6608154.487334.466080.1544873
345.0835154.807834.508350.1548078
345.6132155.448834.561320.1554488
346.0954156.730934.609540.1567309
347.512157.051434.75120.1570514
347.1549157.692434.715490.1576924
347.8156158.333434.781560.1583334
348.2739157.692434.827390.1576924
351.7144160.57735.171440.160577
349.1906157.051434.919060.1570514
349.6251158.333434.962510.1583334
350.1787157.051435.017870.1570514
350.7501158.333435.075010.1583334
351.2858158.333435.128580.1583334
351.8215159.29535.182150.159295
352.2918158.653935.229180.1586539
354.518162.179635.45180.1621796
353.2799160.256535.327990.1602565
353.7858160.256535.378580.1602565
354.2799159.615535.427990.1596155
354.8037161.538635.480370.1615386
355.4466161.538635.544660.1615386
355.7382162.500135.573820.1625001
356.5001161.21835.650010.161218
358.4942163.461635.849420.1634616
357.4049162.500135.740490.1625001
357.8216164.102735.782160.1641027
358.4108163.461635.841080.1634616
358.8454163.141135.884540.1631411
359.3394164.423235.933940.1644232
360.0299164.102736.002990.1641027
360.4347165.705236.043470.1657052
360.9823166.666836.098230.1666668
361.6966165.384736.169660.1653847
361.8394166.025736.183940.1660257
362.3216166.346336.232160.1663463
362.8573166.987336.285730.1669873
363.4644166.666836.346440.1666668
363.9763165.384736.397630.1653847
364.6192166.346336.461920.1663463
364.9882168.269336.498820.1682693
365.6966168.269336.569660.1682693
365.9406168.269336.594060.1682693
366.5537168.589836.655370.1685898
367.0835167.948836.708350.1679488
367.4108169.230936.741080.1692309
368.018169.230936.80180.1692309
368.4585169.551436.845850.1695514
368.9108169.871936.891080.1698719
369.3989169.230936.939890.1692309
370.0299170.833437.002990.1708334
370.4108170.192437.041080.1701924
370.9466169.230937.094660.1692309
371.4287170.512937.142870.1705129
371.8989170.833437.189890.1708334
372.4049170.192437.240490.1701924
372.8513170.192437.285130.1701924
373.4049172.43637.340490.172436
373.8454171.79537.384540.171795
374.3156173.397637.431560.1733976
375.0478172.756537.504780.1727565
375.3097172.756537.530970.1727565
375.8394172.756537.583940.1727565
376.4763174.359137.647630.1743591
377.3335174.359137.733350.1743591
378.0299173.718137.802990.1737181
378.0418174.679637.804180.1746796
378.5239175.961737.852390.1759617
378.8335175.641137.883350.1756411
380.6668177.243738.066680.1772437
380.0716176.282238.007160.1762822
380.2978176.602738.029780.1766027
380.8573175.641138.085730.1756411
381.3632174.679638.136320.1746796
381.9109175.641138.191090.1756411
382.387176.602738.23870.1766027
385.7739180.128338.577390.1801283
383.7442178.205238.374420.1782052
383.9882178.846338.398820.1788463
384.2799179.487338.427990.1794873
384.7442179.166838.474420.1791668
385.4882179.166838.548820.1791668
385.893179.487338.58930.1794873
386.268180.448838.62680.1804488
386.7382179.166838.673820.1791668
387.1787180.128338.717870.1801283
387.6668180.448838.766680.1804488
388.2323179.487338.823230.1794873
388.7859180.769338.878590.1807693
389.0954180.769338.909540.1807693
389.5954180.769338.959540.1807693
390.0656181.730939.006560.1817309
391.4525181.730939.145250.1817309
392.637182.692439.26370.1826924
391.4942182.051439.149420.1820514
392.0597180.769339.205970.1807693
392.4882182.692439.248820.1826924
393.0775182.692439.307750.1826924
393.4882182.692439.348820.1826924
394.0478184.615539.404780.1846155
394.6371183.974539.463710.1839745
394.9763184.93639.497630.184936
395.3513184.29539.535130.184295
395.7978186.218139.579780.1862181
396.2382184.93639.623820.184936
396.7263185.897639.672630.1858976
397.4049185.57739.740490.185577
398.0359188.141139.803590.1881411
398.3454188.141139.834540.1881411
398.6906187.820639.869060.1878206
399.2561187.500139.925610.1875001
399.6906188.461739.969060.1884617
400.1787186.859140.017870.1868591
401.3513187.179640.135130.1871796
402.3573188.141140.235730.1881411
401.4823188.782240.148230.1887822
401.9406188.141140.194060.1881411
402.4466189.102740.244660.1891027
403.149189.423240.31490.1894232
403.6668190.064240.366680.1900642
404.0002190.384740.400020.1903847
404.4585190.705240.445850.1907052
404.8573191.987340.485730.1919873
405.5299191.666840.552990.1916668
405.7323191.346340.573230.1913463
406.1371192.628340.613710.1926283
406.6787192.307840.667870.1923078
407.149192.948840.71490.1929488
407.5894193.269340.758940.1932693
408.0061194.871940.800610.1948719
408.5835193.910440.858350.1939104
408.9347192.628340.893470.1926283
409.3632193.589940.936320.1935899
409.8394193.269340.983940.1932693
410.4466193.910441.044660.1939104
411.0002195.192441.100020.1951924
411.5418195.192441.154180.1951924
411.7621195.192441.176210.1951924
412.1668194.871941.216680.1948719
412.5775196.474541.257750.1964745
412.9704197.756541.297040.1977565
416.1728198.07741.617280.198077
414.5121197.43641.451210.197436
414.6311197.756541.463110.1977565
414.893196.79541.48930.196795
415.3573197.43641.535730.197436
415.9406197.756541.594060.1977565
416.3752197.43641.637520.197436
416.6906196.79541.669060.196795
417.3037200.961741.730370.2009617
417.6192200.000141.761920.2000001
418.2025199.679641.820250.1996796
418.6311200.961741.863110.2009617
418.9763200.320641.897630.2003206
419.4466200.320641.944660.2003206
422.1966201.282242.219660.2012822
420.3454200.641242.034540.2006412
420.7323200.961742.073230.2009617
421.2561201.923242.125610.2019232
421.6906201.923242.169060.2019232
422.0894202.884842.208940.2028848
422.8156203.205342.281560.2032053
423.2502203.525842.325020.2035258
423.5894202.243742.358940.2022437
424.018202.884842.40180.2028848
424.7323203.205342.473230.2032053
425.1133203.205342.511330.2032053
426.893204.487342.68930.2044873
425.7204204.807842.572040.2048078
426.2621204.487342.626210.2044873
429.2323206.410442.923230.2064104
426.9287205.128342.692870.2051283
427.3633205.769442.736330.2057694
427.8811206.089942.788110.2060899
428.3454205.769442.834540.2057694
428.7383207.051442.873830.2070514
429.1192206.730942.911920.2067309
429.6013207.371942.960130.2073719
430.1013207.051443.010130.2070514
430.5478207.371943.054780.2073719
430.9823207.371943.098230.2073719
431.6549207.051443.165490.2070514
432.149208.01343.21490.208013
432.5894210.256543.258940.2102565
432.7918209.93643.279180.209936
433.1728210.577143.317280.2105771
433.5656209.93643.356560.209936
434.0002210.897643.400020.2108976
434.3811210.897643.438110.2108976
434.9406210.577143.494060.2105771
435.3513211.538643.535130.2115386
437.2025212.820643.720250.2128206
438.5299213.782243.852990.2137822
436.6013211.538643.660130.2115386
437.2442212.500143.724420.2125001
437.6906214.102743.769060.2141027
437.9168213.782243.791680.2137822
438.4109214.102743.841090.2141027
438.7442214.102743.874420.2141027
439.3097213.461743.930970.2134617
439.6549214.423243.965490.2144232
440.3692215.064244.036920.2150642
440.5359214.423244.053590.2144232
440.9585214.102744.095850.2141027
441.3573214.423244.135730.2144232
441.8871213.782244.188710.2137822
442.393216.666844.23930.2166668
442.7621215.384844.276210.2153848
445.4168217.307844.541680.2173078
443.4704218.589944.347040.2185899
443.8454219.230944.384540.2192309
444.3394218.589944.433940.2185899
444.7085219.551444.470850.2195514
445.1966221.15444.519660.221154
445.6192219.230944.561920.2192309
445.9823219.871944.598230.2198719
446.4883220.51344.648830.220513
449.2025222.43644.920250.222436
447.3454221.15444.734540.221154
447.6906220.833544.769060.2208335
448.1966221.474544.819660.2214745
448.6906221.79544.869060.221795
449.018222.115544.90180.2221155
449.4466221.474544.944660.2214745
449.9287221.79544.992870.221795
450.7859222.43645.078590.222436
450.6609223.397645.066090.2233976
451.1311223.397645.113110.2233976
451.4347222.756545.143470.2227565
451.8573223.077145.185730.2230771
452.2859224.038645.228590.2240386
452.899224.359145.28990.2243591
455.7978225.961745.579780.2259617
453.6668224.038645.366680.2240386
454.0359225.320745.403590.2253207
454.3513226.282245.435130.2262822
454.8037227.564345.480370.2275643
455.2263227.564345.522630.2275643
455.8811227.243745.588110.2272437
456.1609226.602745.616090.2266027
456.524227.564345.65240.2275643
456.9704226.923245.697040.2269232
457.2918226.923245.729180.2269232
457.7263228.205345.772630.2282053
458.2263228.205345.822630.2282053
458.6609229.166845.866090.2291668
458.9049229.807845.890490.2298078
462.1192232.051446.211920.2320514
459.7799230.128445.977990.2301284
460.0954231.089946.009540.2310899
460.6311231.410446.063110.2314104
461.0299231.730946.102990.2317309
461.4406232.051446.144060.2320514
461.8752230.769446.187520.2307694
462.274232.371946.22740.2323719
462.8871231.730946.288710.2317309
463.1311230.769446.313110.2307694
463.5299233.333546.352990.2333335
464.0061233.974546.400610.2339745
465.1549235.897646.515490.2358976
466.1133233.65446.611330.233654
465.0061233.974546.500610.2339745
465.3097234.29546.530970.234295
465.8156234.936146.581560.2349361
466.3811234.936146.638110.2349361
466.9644235.256646.696440.2352566
467.1073234.29546.710730.234295
468.9049236.859146.890490.2368591
467.8097236.538646.780970.2365386
468.2204237.500246.822040.2375002
468.649237.500246.86490.2375002
468.9883238.461746.898830.2384617
469.5121238.141246.951210.2381412
469.8513238.782246.985130.2387822
470.4704237.820747.047040.2378207
470.7859239.102747.078590.2391027
471.0418239.423247.104180.2394232
471.5597239.102747.155970.2391027
471.9049238.782247.190490.2387822
472.2561238.782247.225610.2387822
472.6192238.782247.261920.2387822
473.2442240.705347.324420.2407053
473.3454240.384847.334540.2403848
473.9347241.666847.393470.2416668
474.1252241.025847.412520.2410258
474.4883241.666847.448830.2416668
474.9109242.307847.491090.2423078
475.2978242.628447.529780.2426284
475.6609243.269447.566090.2432694
476.0894242.628447.608940.2426284
476.5656241.666847.656560.2416668
477.0002241.987347.700020.2419873
477.2561243.269447.725610.2432694
477.6192245.192547.761920.2451925
478.024244.551447.80240.2445514
478.5954243.269447.859540.2432694
478.7978244.230947.879780.2442309
479.143243.910447.91430.2439104
479.5835245.51347.958350.245513
480.1073246.15448.010730.246154
480.5894245.833548.058940.2458335
480.9942245.833548.099420.2458335
481.2085246.15448.120850.246154
481.643245.833548.16430.2458335
481.9763246.79548.197630.246795
482.2978246.474548.229780.2464745
482.6728246.474548.267280.2464745
483.0121247.115548.301210.2471155
483.3692248.718148.336920.2487181
483.7204249.359148.372040.2493591
484.2263249.038648.422630.2490386
484.6787250.641248.467870.2506412
484.8573250.641248.485730.2506412
485.2621249.679648.526210.2496796
485.5359250.961748.553590.2509617
486.2383251.602748.623830.2516027
486.4883251.602748.648830.2516027
487.0061251.282248.700610.2512822
487.1728251.923248.717280.2519232
487.649252.243748.76490.2522437
487.9228252.564348.792280.2525643
488.4525253.846348.845250.2538463
488.7561253.846348.875610.2538463
488.9763253.525848.897630.2535258
489.524253.205348.95240.2532053
490.0121254.166849.001210.2541668
490.1549254.487349.015490.2544873
490.7502256.089949.075020.2560899
490.9585257.051549.095850.2570515
491.2859255.448949.128590.2554489
491.5775257.371949.157750.2573719
491.9585257.371949.195850.2573719
492.3454257.692549.234540.2576925
492.7263257.692549.272630.2576925
493.143255.448949.31430.2554489
493.4883258.333549.348830.2583335
493.8037260.577149.380370.2605771
494.2144258.974549.421440.2589745
494.4763258.974549.447630.2589745
494.6549259.29549.465490.259295
495.524258.333549.55240.2583335
495.6728259.936149.567280.2599361
496.4109260.577149.641090.2605771
496.393261.538649.63930.2615386
496.8216261.218149.682160.2612181
497.018261.859149.70180.2618591
497.4763261.538649.747630.2615386
497.8335262.500249.783350.2625002
499.1966264.102749.919660.2641027
498.399261.859149.83990.2618591
498.7085261.859149.870850.2618591
499.3037262.500249.930370.2625002
499.5716263.782249.957160.2637822
499.8811264.102749.988110.2641027
500.3335264.423250.033350.2644232
500.7918264.743750.079180.2647437
501.0299265.384850.102990.2653848
502.5299265.705350.252990.2657053
501.8811264.423250.188110.2644232
502.0002266.025850.200020.2660258
502.3097267.628450.230970.2676284
502.7799265.384850.277990.2653848
503.143265.705350.31430.2657053
503.4704267.628450.347040.2676284
505.4883269.551550.548830.2695515
504.149268.910450.41490.2689104
504.6013269.230950.460130.2692309
504.7502269.87250.475020.269872
505.1787270.833550.517870.2708335
505.4644270.192550.546440.2701925
505.7502270.192550.575020.2701925
506.1133271.15450.611330.271154
506.4049271.474550.640490.2714745
507.8811272.756650.788110.2727566
507.2799270.833550.727990.2708335
507.643271.79550.76430.271795
507.9228271.79550.792280.271795
508.1609271.79550.816090.271795
508.4287274.038650.842870.2740386
508.774274.359250.87740.2743592
509.0597275.000250.905970.2750002
509.4168275.320750.941680.2753207
509.8156275.641250.981560.2756412
510.2561275.961751.025610.2759617
510.4228275.641251.042280.2756412
510.8156274.679751.081560.2746797
511.0716276.602851.107160.2766028
511.4168278.205351.141680.2782053
511.8454278.205351.184540.2782053
512.149279.166851.21490.2791668
512.4288278.846351.242880.2788463
512.8157278.846351.281570.2788463
513.1252278.525851.312520.2785258
513.5895279.807951.358950.2798079
513.9704280.448951.397040.2804489
514.1609280.448951.416090.2804489
514.649279.807951.46490.2798079
515.149280.769451.51490.2807694
515.3811281.089951.538110.2810899
515.518281.089951.55180.2810899
515.7799281.089951.577990.2810899
516.1669282.051551.616690.2820515
516.4407283.01351.644070.283013
516.8038282.692551.680380.2826925
517.6609284.29551.766090.284295
519.018285.256651.90180.2852566
517.8335284.29551.783350.284295
518.2561284.29551.825610.284295
518.5478285.897651.854780.2858976
519.0061284.936151.900610.2849361
519.0954286.218151.909540.2862181
520.2442287.500252.024420.2875002
519.6609286.859251.966090.2868592
522.7323289.423252.273230.2894232
520.3811288.141252.038110.2881412
520.4942288.141252.049420.2881412
521.8038290.064352.180380.2900643
521.2204288.782252.122040.2887822
521.4883290.384852.148830.2903848
521.8514289.423252.185140.2894232
522.149289.102852.21490.2891028
522.4466291.025852.244660.2910258
522.7919289.743852.279190.2897438
523.1609290.064352.316090.2900643
523.7026291.666852.370260.2916668
523.8752291.666852.387520.2916668
524.3216293.269452.432160.2932694
524.6966293.269452.469660.2932694
525.0121293.269452.501210.2932694
525.3811292.948952.538110.2929489
525.9347293.910452.593470.2939104
526.2323294.23152.623230.294231
526.655295.51352.66550.295513
526.9585294.551552.695850.2945515
527.3395295.192552.733950.2951925
527.649297.115652.76490.2971156
528.0538296.15452.805380.296154
528.28296.474552.8280.2964745
528.8097297.756652.880970.2977566
529.28298.397652.9280.2983976
529.4288298.718152.942880.2987181
532.0478299.359253.204780.2993592
530.2026299.359253.020260.2993592
530.649299.359253.06490.2993592
530.8692300.961753.086920.3009617
531.0657301.602853.106570.3016028
531.5954301.923353.159540.3019233
531.8097302.564353.180970.3025643
532.1192303.205353.211920.3032053
532.4347303.525853.243470.3035258
532.9228303.525853.292280.3035258
533.2859304.166953.328590.3041669
533.5002305.128453.350020.3051284
533.8573305.448953.385730.3054489
534.28304.166953.4280.3041669
534.6192306.089953.461920.3060899
534.9585307.051553.495850.3070515
535.28308.333553.5280.3083335
535.5657306.73153.556570.306731
535.8395308.333553.583950.3083335
536.3038308.333553.630380.3083335
536.4823309.295153.648230.3092951
536.8395309.295153.683950.3092951
537.155309.936153.71550.3099361
537.3454312.179753.734540.3121797
537.8216311.859253.782160.3118592
538.0776312.500253.807760.3125002
538.4645311.859253.846450.3118592
538.8752313.141253.887520.3131412
539.0419314.102853.904190.3141028
539.5062314.743853.950620.3147438
539.8395312.820753.983950.3128207
540.1073314.743854.010730.3147438
540.3633314.743854.036330.3147438
540.7145316.987454.071450.3169874
541.0002316.666954.100020.3166669
541.2919317.948954.129190.3179489
541.6014318.589954.160140.3185899
542.0359319.551554.203590.3195515
542.0478319.23154.204780.319231
542.4169319.23154.241690.319231
542.8335320.192554.283350.3201925
543.0835320.192554.308350.3201925
543.4407322.436154.344070.3224361
543.6728323.077154.367280.3230771
543.9645323.397654.396450.3233976
544.2621322.115654.426210.3221156
544.524322.436154.45240.3224361
544.9109323.397654.491090.3233976
545.2026325.320754.520260.3253207
545.5002325.320754.550020.3253207
545.7919326.923354.579190.3269233
546.1431327.564354.614310.3275643
546.8276327.564354.682760.3275643
547.9943328.525854.799430.3285258
547.2085326.923354.720850.3269233
547.5597328.525854.755970.3285258
547.8871330.448954.788710.3304489
548.1788330.769454.817880.3307694
548.5657330.448954.856570.3304489
548.9347331.0954.893470.33109
549.2204332.051554.922040.3320515
549.4466333.01354.944660.333013
549.7502333.01354.975020.333013
550.1609334.295155.016090.3342951
550.5776334.936155.057760.3349361
551.024335.256655.10240.3352566
551.3574336.218255.135740.3362182
551.8157336.218255.181570.3362182
552.2919338.141255.229190.3381412
552.6728336.859255.267280.3368592
553.1371338.782355.313710.3387823
553.5538340.064355.355380.3400643
556.2562340.705455.625620.3407054
554.4764340.705455.447640.3407054
554.9169340.705455.491690.3407054
555.2562341.987455.525620.3419874
555.6847343.5955.568470.34359
555.9943343.910555.599430.3439105
556.4347344.23155.643470.344231
560.0597348.077156.005970.3480771
557.2681345.51355.726810.345513
557.6074344.23155.760740.344231
557.9526346.154155.795260.3461541
558.2264346.795155.822640.3467951
558.5954348.718255.859540.3487182
558.9824348.718255.898240.3487182
559.4526349.038755.945260.3490387
559.7264351.282355.972640.3512823
560.1014351.923356.010140.3519233
560.3633352.243856.036330.3522438
560.6074352.884856.060740.3528848
561.0895354.166956.108950.3541669
561.3157353.525956.131570.3535259
561.6014354.807956.160140.3548079
562.4526357.051556.245260.3570515
562.2562358.013156.225620.3580131
563.28357.37256.3280.357372
564.9645361.538756.496450.3615387
562.8574359.615656.285740.3596156
563.1728360.897756.317280.3608977
563.4228363.141356.342280.3631413
563.8574363.782356.385740.3637823
564.1133365.064356.411330.3650643
564.1728363.782356.417280.3637823
564.5657366.666956.456570.3666669
564.6312366.666956.463120.3666669
564.9764368.5956.497640.36859
565.274369.551556.52740.3695515
565.405371.154156.54050.3711541
565.7264371.795156.572640.3717951
565.9109373.718256.591090.3737182
566.1074374.038756.610740.3740387
566.4585376.923356.645850.3769233
566.6609378.846456.666090.3788464
566.8514378.846456.685140.3788464
566.9824380.128456.698240.3801284
567.0538381.0956.705380.38109
567.405384.295156.74050.3842951
567.4407384.936256.744070.3849362
567.8038385.577256.780380.3855772
568.1966386.859256.819660.3868592
568.4586389.743856.845860.3897438
568.655390.384956.86550.3903849
568.7502391.666956.875020.3916669
568.8752392.30856.887520.392308
569.274394.23156.92740.394231
569.524393.5956.95240.39359
569.6847395.192656.968470.3951926
569.7205395.192656.972050.3951926
569.8276396.795156.982760.3967951
569.9764398.077256.997640.3980772
570.0359400.000257.003590.4000002
570.1609401.923357.016090.4019233
570.3514404.166957.035140.4041669
570.399407.37257.03990.407372
570.4109409.615657.041090.4096156
570.4228411.538757.042280.4115387
570.399411.859257.03990.4118592
570.4169415.384957.041690.4153849
570.2859417.30857.028590.417308
570.2443418.269557.024430.4182695
570.1788421.795157.017880.4217951
570.1907423.718257.019070.4237182
570.0836425.320857.008360.4253208
569.78428.525956.9780.4285259
569.6669430.44956.966690.430449
570.9586433.013157.095860.4330131
569.2562433.333656.925620.4333336
569.1907435.897756.919070.4358977
568.9109439.102856.891090.4391028
568.7859441.346456.878590.4413464
568.5359444.23156.853590.444231
568.1847445.192656.818470.4451926
567.9705448.718256.797050.4487182
567.5002451.282356.750020.4512823
567.1371454.16756.713710.454167
566.6907456.0956.669070.45609
565.8693458.974656.586930.4589746
565.274461.218256.52740.4612182
564.5359464.743956.453590.4647439
563.8812467.30856.388120.467308
563.1371470.833656.313710.4708336
562.0597473.397756.205970.4733977
561.1669475.641356.116690.4756413
560.0062480.44956.000620.480449
558.6074483.333655.860740.4833336
557.2502486.859355.725020.4868593
555.4943491.025955.549430.4910259
553.78495.192655.3780.4951926
552.0002498.397855.200020.4983978
549.8693503.846554.986930.5038465
547.7978508.654254.779780.5086542
545.3038513.141454.530380.5131414
542.78519.872154.2780.5198721
541.8395527.243954.183950.5272439
537.2026531.731153.720260.5317311
534.155538.141453.41550.5381414
530.8573543.910653.085730.5439106
527.1311551.602952.713110.5516029
523.018559.295252.30180.5592952
518.5002569.872151.850020.5698721
513.4526580.449151.345260.5804491
507.8692594.231150.786920.5942311
501.7025609.295350.170250.6092953
495.2085625.961949.520850.6259619
487.3156645.833748.731560.6458337
478.643664.423547.86430.6644235
468.643684.615846.86430.6846158
454.7978708.974845.479780.7089748
412.0716782.692841.207160.7826928
252.30361372.11625.230361.372116
189.6311817.30918.96311.817309
174.5121994.55217.45121.994552
165.91672065.70716.591672.065707
159.95242116.98915.995242.116989
155.33342161.5415.533342.16154
151.5122225.32215.15122.225322
148.36312274.68114.836312.274681
145.16082337.82214.516082.337822
142.64892382.37314.264892.382373
139.84532412.18113.984532.412181
137.41082433.65513.741082.433655
135.70242467.6313.570242.46763
133.95242496.15613.395242.496156
131.77982522.43813.177982.522438
129.55362532.05312.955362.532053
126.26192535.57912.626192.535579
115.27982542.30911.527982.542309
97.202422539.4259.7202422.539425
79.434552525.3227.9434552.525322
64.994072511.8616.4994072.511861
54.232162495.8355.4232162.495835
46.297632479.4894.6297632.479489
39.898822467.633.9898822.46763
34.71432455.133.471432.45513
30.303582440.0663.0303582.440066
26.178582423.7192.6178582.423719
22.244052403.5272.2244052.403527
18.291672381.7321.8291672.381732
14.339292353.8481.4339292.353848
11.119052324.361.1119052.32436
10.184532308.0141.0184532.308014
12.779772301.9251.2779772.301925
9.785722295.5140.9785722.295514
10.648812293.2711.0648812.293271
10.416672292.951.0416672.29295
8.577382286.2190.8577382.286219
8.279772278.8480.8279772.278848
8.267862270.5140.8267862.270514
7.726192266.0270.7726192.266027
6.720242259.9370.6720242.259937
3.869052236.540.3869052.23654
1.636912205.7710.1636912.205771
1.005952191.6680.1005952.191668
1.101192194.5530.1101192.194553
1.208332200.6420.1208332.200642
1.285722199.6810.1285722.199681
1.119052194.2320.1119052.194232
0.559522179.8090.0559522.179809
0.23812165.0650.023812.165065
0216502.165
spajic2
0
2.715477
2.727382
2.742263
2.754168
2.766668
2.777977
2.796429
2.813692
2.849406
2.816072
2.855953
2.868453
2.727382
2.915477
2.929763
2.941668
2.957739
2.770834
2.986906
2.993453
3.010715
3.029168
3.038692
3.056549
3.065477
3.081549
3.09762
2.967858
3.114882
3.126787
3.157739
3.151192
3.138692
3.235715
3.299406
3.358334
3.404168
3.478572
3.553572
3.62143
3.692859
3.761906
3.836311
3.812501
3.984525
4.048811
4.009525
4.207144
4.293454
4.359525
4.438692
4.391668
4.577383
4.662502
4.727978
4.808335
4.795835
4.964288
5.067264
5.145835
5.216668
5.298216
5.39524
5.460716
5.563097
5.641073
5.716669
5.788097
5.782145
5.976192
6.063097
6.139288
6.222026
6.330359
6.399407
6.491074
6.595836
6.688692
6.761907
6.863692
6.947026
7.032145
7.128574
7.24286
7.328574
7.410122
7.507146
7.588098
7.683336
7.778574
7.877383
7.997622
8.101193
8.184527
8.276788
8.394646
8.481551
8.592265
8.698217
8.812503
8.920241
9.033337
9.14286
9.127979
9.325003
9.455956
9.577979
9.694051
9.791075
9.885123
9.99167
10.10893
10.23334
10.34524
10.43988
10.57143
10.68988
10.78215
10.90953
10.83988
11.12262
11.25655
11.36488
11.48155
11.61072
11.71965
11.82619
11.9625
12.10715
12.28512
12.39822
12.62917
12.8
12.97917
13.16667
13.35
13.51548
13.7131
13.875
14.05477
14.23274
14.43274
14.62143
14.80893
14.99881
15.03274
15.37024
15.54465
15.75298
15.94941
16.13572
16.3131
16.50536
16.6887
16.82262
17.08393
17.26072
17.31727
17.63632
17.84822
18.03989
18.2381
18.43453
18.62501
18.80179
18.97322
19.15715
19.33751
19.52144
19.67382
19.8256
19.97084
20.11846
20.26965
20.43691
20.58394
20.73156
20.89167
21.02798
21.17084
21.31786
21.5006
21.64048
21.79108
21.90834
21.99763
22.24941
22.39108
22.53275
22.68096
22.83453
22.98572
23.16786
23.3506
23.54525
23.73036
23.93096
24.10775
24.31191
24.50239
24.70715
24.90417
25.09048
25.26786
25.39584
25.6512
25.81667
26.04882
26.25656
26.4381
26.61191
26.68513
27.0387
27.23334
27.42977
27.6262
27.81906
28.02084
28.19703
28.4756
28.69882
28.93572
29.15477
29.38394
29.58691
29.83453
30.0756
30.30953
30.54346
30.77441
31.02739
31.27025
31.5018
31.73811
31.97084
32.20596
32.45239
32.67084
32.91311
33.04584
33.34584
33.52323
33.68156
33.82382
33.94227
34.04584
34.11608
34.17858
34.23275
34.28275
34.34585
34.39287
34.43811
34.49882
34.53513
34.5887
34.64346
34.69406
34.74942
34.80358
34.86073
34.9262
34.98037
35.05894
35.07204
35.16489
35.2268
35.27085
35.32323
35.39108
35.45716
35.43037
35.5512
35.66608
35.71966
35.78989
35.85656
35.91608
35.98275
36.04882
36.11192
36.17918
36.25716
36.33454
36.39049
36.48037
36.53394
36.61608
36.68156
36.74347
36.81847
36.87442
36.94644
37.01013
37.06489
37.14108
37.20061
37.27739
37.34585
37.40299
37.47025
37.53692
37.6012
37.67025
37.73692
37.81311
37.89168
37.94406
38.01966
38.09525
38.16787
38.21966
38.30001
38.35061
38.41013
38.48275
38.54585
38.61132
38.69585
38.7643
38.82323
38.90954
38.97799
39.04585
38.95954
39.15001
39.22978
39.29228
39.3524
39.4262
39.50716
39.58156
39.63513
39.69585
39.77323
39.8399
39.90656
39.96132
40.04347
40.10061
40.17442
40.23454
40.30656
40.3768
40.4274
40.49942
40.56192
40.62144
40.70537
40.77085
40.87978
40.93156
41.00299
41.06787
41.15002
41.23811
41.33037
41.42561
41.52085
41.61549
41.71906
41.81966
41.93216
42.03573
42.14228
42.24763
42.34406
42.45894
42.59466
42.72323
42.83633
42.9649
43.07144
43.19406
43.32383
43.45299
43.56609
43.65656
43.72442
43.79585
43.86311
43.94823
44.1
44.05954
44.13871
44.19585
44.25299
44.31311
44.38811
44.44585
44.51013
44.55656
44.6149
44.69287
44.75894
44.81549
44.87323
44.93573
44.99109
45.04644
45.11371
45.20656
45.26966
45.33097
45.39347
45.44406
45.50121
45.58037
45.61906
45.70656
45.76549
45.82799
45.89704
45.96073
45.39109
46.08335
46.14763
46.21906
46.26549
46.32621
46.39109
46.45359
46.50359
46.46549
46.64287
46.69644
46.74942
46.80775
46.86787
46.9268
46.98692
47.04942
47.08871
47.1774
47.25954
47.30597
47.38156
47.43097
47.48275
47.54823
47.5899
47.67144
47.74525
47.79823
47.83871
47.89228
47.9399
48.00894
48.07263
48.13454
48.1774
48.23394
48.31311
48.36371
48.41549
48.47502
48.52799
48.52383
48.64168
48.69049
48.74823
48.80359
48.86966
48.93156
48.98573
49.03513
49.10537
49.15835
49.20894
49.23097
49.2393
49.2268
49.22561
49.23633
49.24347
49.25359
49.27085
49.27263
49.18454
49.30121
49.34168
49.34942
49.35835
49.36966
49.38097
49.39466
49.41252
49.42263
49.49466
49.45418
49.46847
49.4893
49.50002
49.51787
49.53454
49.54704
49.56371
49.6018
49.59644
49.60954
49.62025
49.62978
49.65061
49.66371
49.67442
49.68752
49.71847
49.7274
49.74644
49.75061
49.78037
49.78811
49.80002
49.82085
49.83573
49.84585
49.87502
49.88394
49.89763
49.92502
49.94287
49.98097
49.96966
49.98216
50.00775
50.02204
50.03454
50.05597
50.06728
50.08513
50.10716
50.12442
50.14585
50.16252
50.1768
50.19466
50.21252
50.33752
50.24287
50.26371
50.30359
50.29942
50.31013
50.3274
50.34883
50.35954
50.37502
50.39823
50.41728
50.43394
50.44525
50.46728
50.49168
50.49109
50.52144
50.54168
50.55597
50.56728
50.58037
50.62323
50.62621
50.6399
50.65835
50.66609
50.68394
50.70537
50.72263
50.74049
50.75537
50.76311
50.75894
50.7643
50.78752
50.80716
50.82621
50.84525
50.85716
50.87442
50.90121
50.94168
50.95061
50.9643
50.98037
50.9893
51.00954
51.02144
51.04287
51.0518
51.07085
51.09287
51.09823
51.11847
51.13514
51.15418
51.16073
51.17561
51.19406
51.19883
51.21133
51.23395
51.24407
51.25835
51.27799
51.28811
51.30419
51.31847
51.33335
51.34823
51.36311
51.37859
51.39466
51.41311
51.42323
51.44645
51.4649
51.48038
51.49704
51.5024
51.5268
51.53335
51.57026
51.57561
51.58157
51.59823
51.64883
51.61907
51.76371
51.64645
51.67442
51.67204
51.69228
51.703
51.72383
51.7893
51.778
51.77621
51.76847
51.78097
51.79407
51.81728
51.82323
51.83871
51.8649
51.88573
51.903
51.9149
51.9149
51.93038
51.94407
51.96609
51.96966
51.97978
51.99526
52.02264
52.03395
52.04704
52.04407
52.05776
52.07859
52.08038
52.09466
52.10121
52.203
52.13216
52.14942
52.18335
52.18216
52.18157
52.19883
52.20835
52.2393
52.25716
52.25002
52.27561
52.30538
52.29585
52.29169
52.31192
52.33216
52.35061
52.35954
52.36907
52.38573
52.37978
52.38335
52.39823
52.41073
52.42026
52.428
52.44823
52.47561
52.48633
52.48811
52.50657
52.52085
52.51966
52.53633
52.53573
52.54823
52.55657
52.578
52.47204
52.59704
52.62026
52.62978
52.62859
52.63038
52.63931
52.67204
52.66252
52.67442
52.70061
52.71311
52.7155
52.72383
52.73335
52.73633
52.73216
52.74347
52.75478
52.75597
52.57978
52.77978
52.8024
52.80478
52.803
52.82859
52.83157
52.84883
52.85597
52.68692
52.86847
52.86192
52.8649
52.87442
52.88157
52.89407
52.91847
52.92442
52.91192
52.92145
52.94466
52.93811
52.96431
52.95954
52.94585
52.9399
52.9905
52.99645
53.00181
53.00657
52.99407
53.00597
53.01966
53.02323
53.03157
53.03395
53.04228
53.04466
53.05002
53.04764
53.05776
52.88395
53.07026
53.07502
52.96371
53.09585
53.06847
53.07561
53.10121
53.11252
53.10716
53.1024
53.10895
53.11788
53.11847
53.1399
53.14347
53.13931
53.13276
53.128
53.11788
53.11431
53.10954
53.10835
53.10657
53.09883
53.09347
53.08811
53.05538
53.02681
53.0155
52.99942
52.96431
52.92264
52.90002
52.88871
52.87264
52.83514
52.81014
52.78811
52.78811
52.75716
52.753
52.70359
52.70181
52.66728
52.63931
52.60954
52.59169
52.56133
52.53514
52.50181
52.47561
52.4649
52.27978
52.37264
52.37204
52.34764
52.3024
52.28097
52.2518
51.97978
52.16907
52.1399
52.10657
52.07621
52.04764
51.9649
51.9893
51.99704
51.94823
51.89883
51.85835
51.82561
51.79347
51.62264
51.73395
51.71669
51.68633
51.62859
51.52204
51.54823
51.51014
51.4893
51.44288
51.39645
51.36847
51.3149
51.2643
51.24109
51.1774
51.15537
50.92323
51.06311
51.00121
50.96966
50.91073
50.87502
50.82502
50.7899
50.73275
50.67442
50.60775
50.55359
50.49883
50.45061
50.41013
50.3649
50.33037
50.29644
50.24406
50.20716
50.1649
50.10061
50.03692
49.99347
49.92442
49.8643
49.79109
49.71966
49.65716
49.59704
49.53454
49.46847
49.40894
49.35299
49.29049
49.19823
49.01252
49.10299
49.04763
48.96728
48.89585
48.85775
48.77978
48.6524
48.6649
48.56192
48.54704
48.49406
48.44168
48.37859
48.30597
48.22799
48.18871
48.13633
48.06668
47.98633
47.92799
47.88752
47.82025
47.76192
47.69109
47.61371
47.57204
47.43633
47.43811
47.36609
47.28811
47.21847
47.15894
47.09406
47.03454
46.97085
46.90418
46.83752
46.7649
46.69049
46.51668
46.56966
46.49466
46.43097
46.33871
46.27323
46.22561
46.15121
46.06013
45.97978
45.81787
45.82383
45.74525
45.55597
43.39883
36.66966
25.2012
20
15
10
5
0
Mikroarmirani beton
Etalon
Dilatacija - e (%)
Napon s (MPa)
Uee pojedinih oblasti primene u ukupnoj proizvodnji SFRC u Nemakoj SPECIJALNE VRSTE BETONA Mikroarmirani betoni - PRIMENA
SPECIJALNE VRSTE BETONA Betoni visokih vrstoa (performansi)Visoka vrstoa (BAB-87): MB 60 MPa
Vrlo visoka vrstoa:
MB 100 MPa
Danas se dobijaju HPC(High Performance Concrete) koji bez problema premauju100 MPa, a mogu dadostignu i preko 800 MPa.
SPECIJALNE VRSTE BETONA Betoni visokih vrstoa (performansi)Optiji termin: Betoni visokih performansi, s obzirom da se od ovih kompozita osim visokih (ili ultra-visokih) vrstoa obino zahtevaju i vee otpornosti na razliite uticaje (mraz, mraz+soli, habanje, abraziju, hemijsku koroziju, reoloke deformacije skupljanje i teenje,itd.), kao i poveana trajnost.Predmetni kompoziti se po svom sastavu razlikuju (u manjoj ili veoj meri) od klasinih betona tj. betona uobiajenih vrstoa (MB < 60 MPa). Primer 3 recepture za HPC, koje su spravljene na bazi domaih komponentnih materijala, daje se na sledeem slajdu.
SPECIJALNE VRSTE BETONA Betoni visokih vrstoa - PRIMER
Sastav meavine(kg/m3)UHSC 1UHSC 2UHSC 3Cement9008501050Silikatna praina200185230Kvarcni pesak9501050900Superplastifikator283324elina vlakna330330300Voda205170185Vodovezivni faktor0.1860.1640.144
SPECIJALNE VRSTE BETONA Betoni visokih vrstoa - PRIMER
Betonvrstoa pri pritisku [MPa]vrstoa pri zatezanju savijanjem
[MPa]2 dana7 dana28 dana2 dana7 dana28 danaUHSC 198.8125.6153.127.628.128.7UHSC 296.9135.6153.623.925.726.7UHSC 3103.1124.4155.023.125.328.1
SPECIJALNE VRSTE BETONA Reciklirani betoni ( Construction and Demolition waste C&D waste) , , , ( , , - , , .) - . , , ( , ), . , () () . , ( , ), ( . ).
SPECIJALNE VRSTE BETONA Reciklirani betoni '''' , . , (, , ), ( CO2 1 1 ). "3R" (Reduce, Recycle, Renew) . (Reduce), (Recycle) - (Renewable resource). : 1 m3 ( 2,3 m3 , 1,1 ).
SPECIJALNE VRSTE BETONA Reciklirani betoni
SPECIJALNE VRSTE BETONA Reciklirani betoniBeton na bazi opekarskog loma, nakon ispitivanja na pritisak (a), odnosno na savijanje (b).a)b)
Specijalni betoni - Zeleni betonGreen buildings, Green materials, Sustainable development, Ecology, Energy Saving, Building efficiency, Greenization ...Odrednica green (zeleno) u sebi sadri veliki broj parametara: smanjenje potronje energije, zatitu ivotne sredine, kontrolu i iskorienje sekundarnih sirovina, poboljanje performansi, kontrolu kvaliteta, ali takoe i mogunost reciklae materijala nakon zavretka ivotnog veka objekta."Zelena zgrada" mora da zadovolji 3 osnovna uslova: da obezbedi smanjenje potronje energije (tokom izgradnje i eksploatacije),- da bude izgraena od ekolokih materijala koji mogu da se recikliraju,- da bude u skladu sa okruenjem i sa prirodom.U svetu se puno panje posveuje ovim problemima sastanak u Kopenhagenu krajem 2009. godine, kao nastavak protokola iz Kjotoa. Svaki materijal moe da bude zelen itavi kongresi posveeni su "zelenom" betonu.
GREEN BUILDINGS ???
Prototip pametne zgrade koja tedi energijuLow Energy Demo BuildingProjekat Univerziteta Tsinghua iz Pekinga u saradnji sa univerzitetima Tjencin (Kina), Delft (Holandija) i Palermo (Italija).Eksperimentalno se istrauju najnovije tehnologije vezane za energetsku efikasnost u oblastima projektovanja, izgradnje, novih materijala, fasade, uslova radne sredine, alternativnih izvora energije, ekosistema i elektronskog sistema upravljanja zgradom.
ematski prokaz zgrade i kljunih tehnologijaPrimenjene tehnologije:elina konstrukcija,Inteligentna fasada koja se prilagoava spoljanjim uslovima,Prirodna ventilacija, automatska kontrola T i H, mala potronja E,Dvoslojna staklena fasada, korienje solarne energije,Zeleni krov i zeleni materijali,Inteligentna zgrada kojom se upravlja pomou raunara.
Neki detaljiSolarni kolektori sa optikim kablovimaPodne ploe od specijalnih kompozita koji imaju visok toplotni kapacitet