OA?E?ANUeEA AeA?AEAAIA AEAAeAI?ss

CAE?CIE*IIAI O?AINII?OO

AAOOEss AE?A EAII?AeIAE*

OAeE 624.072.2.016.046.2

IANO*A CAeAOI?NOUe

NOAEAAAOIIIEO AAEIE I?ssIIEOOIIAI IA?A??CO,

CI?OeIAIEO NOAEUeIEI OI?AIAAEAI

Niaoe?aeuei?noue 05.23.01 – aoae?aaeuei? eiino?oeoe??,

aoae?ae? oa nii?oaee

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Oa?e?a – 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?? aoae?aaeueii? iaoai?ee oa a?ae?aae?ee
Oa?e?anueei? aea?aeaaii? aeaaeai?? cae?cie/iiai o?ainii?oo I?i?noa?noaa
o?ainii?oo Oe?a?ie.

Iaoeiaee ea??aiee –

aeieoi? oaoi?/ieo iaoe, i?ioani?

*eoeaaeca Aeaoaeaea Aeaaeaeiae/,

caa?aeoth/ee eaoaae?ith aoae?aaeueii? iaoai?ee oa a?ae?aae?ee
Oa?e?anueei? aea?aeaaii? aeaaeai?? cae?cie/iiai o?ainii?oo.

Io?oe?ei? iiiiaioe:

aeieoi? oaoi?/ieo iaoe, i?ioani?

Anoai?i A’y/aneaa Aaeaioeiiae/,

i?ioani? eaoaae?e oai?aoe/ii? oa i?eeeaaeii? iaoai?ee Ee?anueeiai
?inoeoooo ?iaeaia??a cae?cie/iiai o?ainii?oo;

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio

Iieiae/aiei Aaiiaae?e Aiaoie?eiae/,

caa?aeoth/ee eaoaae?ith aoae?aaeueieo eiino?oeoe?e Oa?e?anueei?
aea?aeaaii? aeaaeai?? i?nueeiai ainiiaea?noaa

I?ia?aeia onoaiiaa – Oa?e?anueeee aea?aeaaiee oaoi?/iee oi?aa?neoao
aoae?aieoeoaa oa a?o?oaeoo?e I?i?noa?noaa ina?oe Oe?a?ie

Caoeno a?aeaoaeaoueny 4 eenoiiaaea 1999 ?. i 1300 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.820.02 Oa?e?anueei? aea?aeaaii?
aeaaeai?? cae?cie/iiai o?ainii?oo ca aae?anith: 310050, i. Oa?e?a,
iaeaeai Oae??aaoa, 7.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Oa?e?anueei?
aea?aeaaii? aeaaeai?? cae?cie/iiai o?ainii?oo ca aae?anith: 310050, i.
Oa?e?a, iaeaeai Oae??aaoa, 7.

Aaoi?aoa?ao ?ic?neaiee 28 aa?aniy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee,

eaiaeeaeao oaoi?/ieo iaoe,

aeioeaio

??iae ?.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue aeine?aeaeaiiy. Iniiai? iai?yiee i?ia?ano o no/anieo
aoae?aaeueieo eiino?oeoe?yo iia’ycai? c i?iaeaiith a?eueo aoaeoeaiiai
aeei?enoaiiy i?oei?nieo aeanoeainoae iaoa??ae?a. Aeei?enoaiiy
cae?ciaaoiio cai?noue noaeueieo eiino?oeoe?e i?ecaaei aei cia/ii?
aeiiii?? noae?, aea iinoaaeei iiaee ?yae ieoaiue oaeeo ye ciaioaiiy
?ici???a iiia?a/iiai ia?a??co, a ye iane?aeie, ? iane eiino?oeoe??.
Oiio, ii?o/ c iiooeaie oni?oii eiieo?oth/eo ??oaiue a cae?ciaaoii?,
aaeeea cia/aiiy i?eae?ey?oueny ?icaeoeo ?ioeo eiia?iiaaieo nenoai,
cie?aia: noaeaaaoiiieo oa noaeacae?ciaaoiiieo.

A?aeiii, ui aaoii o iaiei? aoaeoeaii i?aoeth? ia inueiaee noene caaaeyee
o?ainoi?iaoe?? iaeiiinueiaiai iai?oaeaiiai noaio a o?ueioinueiaee. I?e
caei? aeei?enoaiiy i?yiieooiiai /e e?oaeiai noaeaaaoiio iaio aoaeoeaii,
aea noaeaaaoiii? eiino?oeoe?? c i?aee??ieaiiyi, iai?eeeaae –
oi?aiaaeuei? nenoaie, aeineoue aoaeoeai?. Oe?iea ai?iaaaeaeaiiy ?o o
i?aeoeeo aoae?aieoeoaa no?eio?oueny iaaeinoaoiueith ?ic?iaeith
eiino?oeoe?e oa aoce?a, a oaeiae iaoiae?a ?ic?aooieo, ye? a
a?aeia?aaeaee iniaeeaino? ?iaioe noaeaaaoiiii? aaeee oa oi?aiaaey.

Iaoa aeena?oaoe?eii? ?iaioe iieyaa? a ?ic?iaoe? eiino?oeoe?? aaeee oa
aoce?a niieo/aiiy ?? aeaiaio?a, a oaeiae iaoaiaoe/iiai aia?aoo
?ic?aooieo, c o?aooaaiiyi iniaeeainoae aeaoi?ioaaiiy aaoiio, noaeueii?
iaieie oa oi?aiaaey.

Caaea/? aeine?aeaeaiue:

?ic?iaea eiino?oeoe?? aaeee, ci?oeiaii? oi?aiaaeai, aoce?a niieo/aiiy
oi?aiaaey c aaeeith oa aeaiaio?a oi?aiaaey i?ae niaith.

E?euee?nia ioe?iea aieeao ??cieo eiino?oeoe?e aoce?a niieo/aiiy
oi?aiaaey c aaeeith ia iano/o caeaoi?noue eiino?oeoe??.

?ic?iaea eiino?oeoe?? iiia?aaeiuei iai?oaeaiiai oi?aiaaey oa ioe?iea
aieeao iiia?aaeiueiai iai?oaeaiiy ia iano/o caeaoi?noue aaeee.

?ic?iaea iaoaiaoe/iiai aia?aoo ?ic?aooieo noaeaaaoiiii? aaeee,
ci?oeiaii? oi?aiaaeai, c o?aooaaiiyi iniaeeainoae aeaoi?ioaaiiy
eiia?iiaaii? aaeee oa oi?aiaaey.

Ai?iaaaeaeaiiy ?acoeueoao?a aeine?aeaeaiue o i?aeoeeo i?iaeooaaiiy oa
aoae?aieoeoai.

Iaoeiaa iiaecia io?eiaieo ?acoeueoao?a:

?ic?iaeaia oa aenia?eiaioaeueii iaa?oioiaaia iaoiaeeea ?ic?aooieo
noaeaaaoiiieo aaeie i?yiieooiiai ia?a??co, ci?oeiaieo oi?aiaaeai, i?e
ei?ioei/aniiio aieea? c o?aooaaiiyi iae?i?eiino? aeaoi?ioaaiiy oa
o??ueiiooai?aiiy aaoiio a oiiaao ia’?iiiai iaiaeii??aeiiai iai?oaeaiiai
noaio.

?ic?iaeaia iiaa eiino?oeoe?y aaeee, ci?oeiaii? oi?aiaaeai.

?ic?iaeaii aocee niieo/aiiy aaeee oa oi?aiaaey, aeaiaio?a oi?aiaaey i?ae
niaith oa aeeiiaia aenia?eiaioaeueia ioe?iea cai?iiiiiaaieo ??oaiue.

?ic?iaeaia eiino?oeoe?y iiia?aaeiuei iai?oaeaiiai oi?aiaaey oa aeeiiaia
ioe?iea aieeao iiia?aaeiueiai iai?oaeaiiy ia iai?oaeaii-aeaoi?iiaaiee
noai eiino?oeoe??.

I?aeoe/ia cia/aiiy io?eiaieo ?acoeueoao?a. Aeei?enoaiiy o i?aeoeoe?
aoae?aieoeoaa noaeaaaoiiieo aaeie, ci?oeiaieo oi?aiaaeai oa ?ioeo
eiia?iiaaieo nenoai cai?noue cae?ciaaoiiieo aeicaiey? i?e aaeeeeo
iaaaioaaeaiiyo oa iaiaaeaieo ?ici??ao ia?a??co ca?eueoeoe i?iaiie, ui
ia?ae?eaathoueny, cieceoe aeo?aoe noae? oa io?eiaoe cia/iee aeiiii?/iee
aoaeo.

Ai?iaaaeaeaiiy. ?acoeueoaoe aeena?oaoe?eii? ?iaioe ai?iaaaeaeai? a
i?iaeoi? ??oaiiy aoae?aieoeoaa ia’?eo?a II “I?aaeaio?ainaoae”, ia
cai?iiiiiaaio eiino?oeoe?th noaeaaaoiiii? aaeee, ci?oeiaii? oi?aiaaeai,
io?eiaii iaoaio Oe?a?ie. I?ae /an noaaeoaaiiy o o??i? “Emch+Berger” AG
(Aa?i, Oaaeoea??y) aaoi? aeeiiaa aiae?c eiia?iiaaieo eiino?oeoe?e, ui
aeei?enoiaothoueny o ca?oa?aeiiio aoae?aieoeoa?, ocaaaeueiea aeina?ae ?o
aenieoaoaoe??, cai?iiiioaaa eiino?oeoeai? i?iiiceoe?? aei noaeaaaoiiieo
eiino?oeoe?e, ui i?iaeoothoueny oa ii?iaoaaa iaoiaeeeo ?ic?aooieo.

Iniaenoee aianie caeiaoaa/a aecia/a?oueny: aeeiiaieie
aenia?eiaioaeueieie aeine?aeaeaiiyie; aiae?cii oa?aeoa?a aeaoi?ioaaiiy
oa ae/a?iaiiy iano/i? caeaoiino? noaeaaaoiiieo aaeie i?yiieooiiai
iiia?a/iiai ia?a??co, ci?oeiaieo noaeueiei oi?aiaaeai; ?ic?iaeith
iaoaiaoe/iiai aia?aoo ?ic?aooieo eiino?oeoe?e, ui ?icaeyaeathoueny, c
o?aooaaiiyi iniaeeainoae aeaoi?ioaaiiy aaoiio, noaeueii? iaieie oa
oi?aiaaaey.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. ?acoeueoaoe oai?aoe/ieo oa
aenia?eiaioaeueieo aeine?aeaeaiue aeiiia?aeaeenue ia iaoeiai-oaoi?/ieo
eiioa?aioe?yo Oa?e?anueei? aea?aeaaii? aeaaeai?? cae?cie/iiai o?ainii?oo
(1995 – 1998 ??.), 40th Anniversary Congress of the International
Association for Shell and Spatial Structures (IASS) (Iaae?eae, ?niai?y,
1999 ?.).

Ioae?eaoe??. Ca oaiith aeena?oaoe?eii? ?iaioe iioae?eiaaii 6 ?ia?o.

Ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny c anooio, /ioe?ueio ?icae?e?a,
aeniiae?a, ia?ae?ea aeei?enoaieo aeaea?ae, aeiaeaoe?a oa ia?aoiao? 160
noi??iie iaoeiiieniiai oaenoo, o oiio /ene?: 53 ?enoiea, 4 oaaeeoe?, 17
noi??iie aeiaeaoe?a. Ia?ae?e aeei?enoaieo aeaea?ae ia?aoiao? 109 i?aoeue
(o oiio /ene? 93 i?aoe? a?o/eciyieo oa 16 i?aoeue ?iicaiieo aaoi??a).

INIIAIEE CI?NO ?IAIOE

O ia?oiio ?icae?e? iaaaaeaii iaeyae iioae?eiaaieo ?ia?o c oai?aoe/ieo oa
aenia?eiaioaeueieo aeine?aeaeaiue noaeaaaoiiieo oa noaeacae?ciaaoiiieo
eiino?oeoe?e oa iaoiae?a ?o ?ic?aooieo. Aeeiiaii iaeyae iniiaieo
i?aeoiae?a aei iieno i?ioeano aeaoi?ioaaiiy aaoiio a oiiaao o?ueioiniiai
iai?oaeaiiai noaio.

Iaoaiaoe/iiio iieno iniiaieo o?ce/ieo ni?aa?aeiioaiue aeey aaoiio, noae?
oa ?ioeo iaoa??ae?a, a oaeiae aea/aiith aeanoeainoae iano/eo
eiino?oeoe?e, o oiio /ene? eiino?oeoe?e c ciai?oi?i a?ioaaiiyi,
i?enay/ai? ?iaioe Anoai?ia A.A., Aaeaia O.A., Aiiaea?aiea A.I.,
Aaicae?aa A.A., Aai??aa A.A., Aeieaeaiea A.A., Caei?aiea A.N., Ea?iaiea
I.?., Eeeiaiea O.?., Eica/aanueeiai I.?., E?e/aanueeiai I.I., Eaeoana
?.N., Iaeaoe?ia TH.I., Iieiae/aiea A.A., Ia?aaea??y A.I., Ionoiaieoiaa
A.I., ?iniianueeiai A.A., Naiaea?ianueeiai ?.N., Noi?iaeaiea E.?.,
Noai?e?ia Ae.A., Noaei?oeeia A.?., *eoeaaeca A.Ae., Oii?ia N.E., Oii?oee
E.I., Oaa?ia I.E., Oeiaiianueeiai I.A., Oioeea?a A.N., ssoeia I.A.,
Aacaioa, A?aaa?y, Eoioa?a, O?enaei?oa oa ?ioeo.

Aacoth/enue ia aea/aii? iiaeo iai?yie?a a iaeano? oaeineiiaeaiiy
aoae?aaeueieo eiino?oeoe?e, iiaeeeai a?aei?oeoe ia?niaeoeai?noue
aeei?enoaiiy ciai?oiueiai a?ioaaiiy, yea iaeii/anii aeeiio? neeia?,
caoeni?, ?cieyoe?ei? oa oaoiieia?/i? ooieoe??. I?aeoeea aeei?enoaiiy
eiino?oeoe?e c ciai?oi?i a?ioaaiiyi o aoae?aieoeoa? aiai?eoue, ui i?e
aaeeeeo iaaaioaaeaiiyo oa iaiaaeaieo ?ici??ao ia?a??co aiie iathoue
ia?aaaae ia?aae ?ioeie oeiaie eiino?oeoe?e.

Oa?aeoa? aeaoi?ioaaiiy oa ae/a?iaiiy iano/i? caeaoiino? noaeaaaoiiieo
eiino?oeoe?e c i?aeneeaiiyi, cie?aia oi?aiaaeueieo aaeie aeine?aeaeaii
iaaeinoaoiuei. Ia aeyaeaii aieeao oi?aiaaey ia i?ioean aeaoi?ioaaiiy oa
?oeioaaiiy aaeee; ia aeine?aeaeaii aieea iiia?aaeiuei iai?oaeaiiai
oi?aiaaey ia iai?oaeaii-aeaoi?iiaaiee noai aaeee; ia ioe?iaii aieea
aei?noeino? aoceiaeo niieo/aiue ia iano/o caeaoi?noue oa
aeaoi?iaoeai?noue aaeee oa ?ioa. O ca’yceo c oeei iaoiaeeea ?ic?aooieo
noaeaaaoiiii? aaeee c oi?aiaaeai iiaeiia o?aoiaoaaoe on? aeuaia?ae?/ai?
oaeoi?e, a oaeiae iniaeeaino? aeaoi?ioaaiiy aaoiio a oiiaao ia’?iiiai
iai?oaeaiiai noaio oa noaeueii? iaieie a oiiaao aeaiinueiaiai
iai?oaeaiiai noaio.

Ae?oaee ?icae?e i?enay/aii oai?aoe/iiio aeine?aeaeaiith
iai?oaeaii-aeaoi?iiaaiiai noaio noaeaaaoiiii? aaeee, ci?oeiaii?
oi?aiaaeai. Eiino?oeoe?y, ui ?icaeyaea?oueny (?en. 1), ie??i ciai?oiuei?
noaoe/ii? iaaecia/iino? ia? ua e aioo??oith, ui iaoiiaeaia
eiiieaeni?noth ia?a??co (aaoiiia yae?i, noaeueia iaieia). O oe?e
eiino?oeoe?? ?iciiae?e coneeue iaoiiaeth?oueny oa?aeoa?ii ci?ie
aei?noeino? noaeaaaoiiii? aaeee.

Aeey aecia/aiiy aei?noeino? aeae?eeii c aaeee noaeaaaoiiiee aeaiaio
iaeeie/ii? aeiaaeeie (?en. 2). I?e caei? (iicaoeaio?iaiio noeneo),
ii?ooo?oueny neiao??y o?ce/ieo aeanoeainoae aaoiio a?aeiinii
iaeo?aeueii? in?. sse iane?aeie iieiaeaiiy ?? iiia?aaeiuei iaa?aeiii.
Oiio noaia ae?? ia aeaiaio, ui caeia?oueny, i?eeia?oueny o aeaeyae?
aeiooaii? aeaoi?iaoe??

,
(1)

— e?eaecia iaeo?aeueiiai oa?o;

— a?aenoaiue a?ae iaeo?aeueiiai oa?o aei aieieia, ui ?icaeyaea?oueny.

caeaaeaoue a?ae noaae?? iai?oaeaiiai noaio. Oeacai? ia?aiao?e
i?eeiathoueny o ianooiiiio aeaeyae?:

(2)

(3)

— n?/iee iiaeoeue a?aeiinieo ia’?iieo ci?iaiue aaoiio;

— n?/iee iiaeoeue cnoao.

Eiioaeoi? neee ciaeaeaii c oiia ??aiino? ia?ai?uaiue ia iaae? eiioaeoo.
Iaoaiaoe/iee caien oe??? oiiae – nenoaia eaiii?/ieo ??aiyiue

(4)

— a?aeiia?aeii ??cieoe? iiia?a/ieo ia?ai?uaiue iaieie oa yae?a a?ae
aeiooaii? aeaoi?iaoe??.

.

(5)

Iiia?a/i? ia?ai?uaiiy iaieie a?ae iicaeiaaei?o aeaoi?iaoe?e
aecia/athoueny

, (6)

— eii?aeeiaoe oi/ee, ui ?icaeyaea?oueny.

Iiia?a/i? ia?ai?uaiiy a yae?? a?ae aeaoi?iaoe?e aecia/eii a ?acoeueoao?
iaaeeaeaiiai ?ica’ycaiiy i?inoi?iai? caaea/?

(7)

— i?aeeiaoa oa aanoeena oi/ee, a ye?e aecia/athoueny ia?ai?uaiiy.

Cai?iiiiiaaia ??oaiiy ?aae?co?oueny e?ieiaei ia?aae?aiiyi aeaoi?iiaaieo
noai?a noaeaaaoiiiiai aeaiaioo. Eiaeiee aeaoi?iiaaiee noai aecia/a?oueny
e?eaeciith. Aaee/eia e?ieo ciaoiaeeoueny caeaaeii a?ae aaee/eie
ae?th/iai iicaeiaaeiueiai iaaaioaaeaiiy. A ?acoeueoao? a oaaee/iiio
aeaeyae? io?eiai? caeaaeiino? i?ae caeiath/ei iiiaioii oa e?eaeciith a
ia?a??c? noaeaaaoiiiiai aeaiaioa, ye? aeei?enoiaothoueny aeey ioe?iee
aei?noeino?:

.
(8)

E?eoa???i a?aie/iiai noaio ? aeinyaiaiiy o ?icoyaiai?e cii? iaae?
oaeo/ino?, ui aecia/a?oueny ca I?canii aai o e?aei?o aieieiao noeneiai
aaoiio – iaae? i?oeiino?.

Aioo??oiy noaoe/ia iaaecia/i?noue ciai?oiuei noaoe/ii iaaecia/ii?
nenoaie ?ice?eaa?oueny o ?aeeiiio i?ioean? iine?aeiaieo iaaeeaeaiue.
Ii?aeiaiiy i?ioean?a aioo??oi?o oa ciai?oi?o ?oa?aoe?e caaaeyee
iine?aeiaiei iaaeeaeaiiyi iieyaa?: o cae/aei?e oi?oaie?i?ei?e
iinoaiiaoe? ae??oo?oueny caaeaia nenoaia oa aecia/athoueny aith?e
aioo??oi?o coneeue; aecia/athoueny ia?a??ce, a yeeo, aacoth/enue ia
coneeeyo, ca aeiiiiiaith aioo??oiueiai i?ioeano ?oa?aoe?e ooi/iththoueny
?ic?aooieia? aei?noeino?; ca iiaei caeiiii ci?iaiiy aei?noeino?
iiaoi?th?oueny noaoe/iee ?ic?aooiie nenoaie c o?aooaaiiyi ci?iiino?
iicaeiaae i?iaiio ?ic?aooieiaeo aei?noeinoae; ca coneeeyie ia?oiai
iaaeeaeaiiy ciia ooi/iththoueny aei?noeino?, a ca ieie ciaoiaeyony
aith?e coneeue o ae?oaiio iaaeeaeaii? ? o.ae. aei noaa?eueii? ca?aeiino?
c caaeaiith nooi?iith oi/iino?.

?aae?caoe?y ?ic?aooie?a aeeiiaia ia IAII. I?ia?aia ?ic?aooieo
neeaaea?oueny c aeaio aeie?a iniiaii? i?ia?aie oa iaeaoa i?aei?ia?ai. O
aeieao iniiaii? i?ia?aie ?ice?eaathoueny aioo??oiy oa ciai?oiy noaoe/i?
iaaecia/iino? nenoaie. Iniiaia i?ia?aia cae?enith? aa?ae aeo?aeieo
aeaieo; aecia/aiiy ianea?a ci?iieo; aecia/aiiy ia?aiao??a iiaeae? IE?;
aecia/aiiy ia?ai?uaiue a noaeuei?e iaiei? a?ae iaeeie/ieo nee noai?a oa
aeaoi?iaoe?e; aecia/aiiy cia/aiue ooieoe?? iai?oaeaiiy oa ?? iio?aeii?
ia eiioo?? i?e aeia?eueieo noaiao; aecia/aiiy ia?ai?uaiue aaoiiiiai
yae?a a?ae aeaoi?iaoe?e oa iaeeie/ieo nee; oi?ioaaiiy NEA? iaoiaeo nee c
o?aooaaiiyi aeeeth/aiiy a’yc?a.

O?ao?e ?icae?e i?enay/aii aenia?eiaioaeueiei aeine?aeaeaiiyi
noaeaaaoiiieo aaeie, ci?oeiaieo oi?aiaaeai i?e caei?.

caa?aieo i?ae niaith ii iicaeiaaei?e in?. Oi?oe? oaaea??a ia?iaeyeeny
ia oiea?iiio aa?noao?.

. I?ney cae?i/aiiy a?a?oaaiiy iiaa?oiy aaoiio ?aoaeueii
ae??aithaaeanue, oi?oe? aaeee caaa?thaaeeny. Oaa?ae?iiy c?ace?a
a?aeaoaaeinue a eaai?aoi?ieo oiiaao (c?acee ia?oi? oa ae?oai? na???) ? a
i?iia?i/i?e eaia?? (c?acee o?aouei? na???).

C’?aeiaiiy iioeeeo aeaiaio?a aeaia?eeiaiai oi?aiaaey c noaeaaaoiiiith
aaeeith cae?eniaii: caa?iei (AO – 1) ? oa?i??iei (AO – 2, AO – 3)
(?en.4).

, yeee iio?i i?iioneaany o ioai?e, ye? iaeeny o iioeeeo aeaiaioao.

?io? aocee aeeiiai? a aeaio aa??aioao, o c?aceao ia?oi? ? ae?oai? na???
– caa?i? (?en. 5), a c?aceao o?aouei? na??? – oa?i??i?.

(?en. 6a), a o aoceao c‘?aeiaiiy iioeeeo, ai?eciioaeueieo ?
aa?oeeaeueieo aeaiaio?a – ca aeiiiiiaith e?oaeiai noaeueiiai noa?aeiy
(?en. 6a).

O iaeiiio ?c c?ace?a eiaeii? na??? ai?eciioaeueiee aeaiaio aeaioiaeyany
?ic??ciei, c caci?ii ? caaacia/oaaany noyaeiith ioooith. Oea aeicaieeei
cae?enieoe iiia?aaei?e iaoya oi?aiaaey.

Aeey aecia/aiiy i?oeiinoieo ? aeaoi?iaoeaieo oa?aeoa?enoee iaoa??ae?a
i?iaiaeeeeny noaiaea?oi? aei?iaoaaiiy.

.

,

.

,

— a?aie/ia aeaoi?iaoe?y aaoiio.

Aeey aei??thaaiiy iicaeiaaei?o aeaoi?iaoe?e iaieie ? aeaiaio?a oi?aiaaey
aeei?enoiaoaaeeny aeao/eee ii?/iiai iii?o oeio EO5I.1. – 20 –100 – A –
12, ye? ?icoaoiaoaaeeny a iaiei? o na?aaeiueiio ia?a??c? ii onueiio
ia?eiao?o (ia aa?oi?e ? ieaei?e a?aiyo ii 3 oooee, ia aieia?e a?ai? 6
oooe) (?en.7a), o aeaiaioao oi?aiaaey – ii aeaa ia eiaeiiio, c iaeiiai
oa ae?oaiai aieo ? iina?aaeei? aeaiaioa.

.

Aei?iaoaaiiy i?iaiaeeeeny ia a?ae?aae?/iiio i?an? A?I – 1 nooiaiyie, ye?
neeaaeaee 0.15 a?ae ?oei?aiiai iaaaioaaeaiiy. O i?ioean? aei?iaoaaiue
iieacaiiy oaiciaeao/ee?a ci?iaeeny ia eiaeiiio aoai? iaaaioaaeaiiy ca
aeiiiiiaith i?eeaaeo AEAe – 4. ?acoeueoaoe aei?iaoaaiue iaaaaeai? a
oaaeeoe? 1.

Oaaeeoey 1 – Ii??aiyiiy aenia?eiaioaeueieo ? oai?aoe/ieo cia/aiue
iano/i? caeaoiino? noaeaaaoiiieo aaeie, ci?oeiaieo oi?aiaaeai

? na??? Oeo?

c?acea ?ici??e iiia?a/iiai ia?a??co A?aeiinia aaee/eia iiia?aaeiueiai
iai?oaeaiiy o iioeeiio aeaiaio?

I?iaei

,

eI

AO – 1 – 1 150 150 — 11.34 415 440 1.06

1 AO – 1 – 2 150 150 — 11.47 415 444 1.07

AO – 1 – 3 150 150 0.281 11.04 437 477 1.09

AO – 2 – 1 150 150 — 11.58 385 405 1.05

2 AO – 2 – 2 150 150 — 12.13 385 412 1.07

AO – 2 – 3 150 150 0.316 11.31 406 450 1.11

AO – 3 – 1 150 150 — 13.40 349 370 1.06

3 AO – 3 – 2 150 150 — 12.87 349 360 1.03

AO – 3 – 3 150 150 0.346 12.35 373 410 1.10

.

sse aeaeii c oaaeeoe? 1 o c?aceao ia?oi? na??? iano/a caeaoi?noue aoea
aeua o ii??aiyii? ?c c?aceaie ae?oai? oa o?aouei? na???. Oea
iiynith?oueny a?eueoith iiaeaoeea?noth aoce?a c oa?i??iei c’?aeiaiiyi
aeaiaio?a, ii??aithth/e c aei?noeei. ?oeioaaiiy c?ace?a
oa?aeoa?ecoaaeiny aeinyaiaiiyi oaeo/ino? iaieie o noene?e cii?, c
ianooiiei ?? aeio/aiiyi. Iai?oaeaiiy a aeaiaioao oi?aiaaey noaiiaeee 70%
oa 65% a?ae iaae? oaeo/ino? a?aeiia?aeii i?e caa?iiio oa oa?i??iiio
c’?aeiaii?. Iiia?aaei? iai?oaeaiiy aeicaieeei aeinyaiooe a?eueoi?
iano/i? caeaoiino?. I?e oeueiio ?oeioaaiiy a?aeaoaaeiny i?e iaeii/aniiio
aeinyaiaii? iaae? oaeo/ino? ye a noeneeo aieieiao iaieie, oae ? a
aeaiaioao oi?aiaaey. Ia ?en.7 iaaiaeeoueny aith?a aeaoi?iaoe?e a
ia?a??c? aaeee AO – 2 – 3 o iiiaio, yeee ia?aaeo? ?oeioaaiith.

O /aoaa?oiio ?icae?e? iaaiaeyoueny aeai? i?i i?aeoe/ia ai?iaaaeaeaiiy
?acoeueoao?a aeena?oaoe?eii? ?iaioe. Iaoiaeeea ?ic?aooieo oa
eiino?oeoe?? noaeaaaoiiieo aaeie, ci?oeiaieo oi?aiaaeai i?eeiyo? aei
ai?iaaaeaeaiiy o i?iaeoieo ??oaiiyo aoae?aieoeoaa ia’?eo?a II
“I?aaeaio?ainaoae”.

Noaeaaaoiii? eiino?oeoe?? ciaeoee aeei?enoaiiy i?e i?iaeooaaii? nii?oae
o ?yae? e?a?i Cao?aeii? ?a?iie. Oae, o eiino?oeoeaiiio ??oaii? oanaaeo
i?e aoae?aieoeoa? o?aoueiai i?aeia?iaeiiai aa?iii?oo o Eiiaeii? aoee
aeei?enoai? noaeaaaoiii? eiino?oeoe?? c i?aeneeaiiyi (?en. 8).

Cai?iiiiiaaia eiino?oeoe?y noaeaaaoiiii? aaeee (?en. 9), ui aeeth/a?
aa?oi?e 1, ieaei?e 2 iiyne, aa?oeeaeuei? noiyee 3. C’?aeiaiiy aa?oiueiai
1 ? ieaeiueiai 2 iiyn?a c aa?oeeaeueieie noiyeaie 3 – oa?i??ia o
aeaeyae? o?oaiaaoiiieo aeeaaeeo?a 4, ui i?iiouai? a ioai?e o eineieao 5,
ye? yaeythoue niaith i?iaeiaaeaiiy aa?oeeaeueieo a?aiae iaio iiyn?a 1
oa 2. Ieaei?e iiyn 2 aeaioiaeaii eaiaiei c caci?ii a na?aaei?e /anoei?,
aa?oeeaeuei? noiyee 3 c ioai?aie aeey o?oaiaaoiiieo aeeaaeeo?a 4.
Ieaei?e iiyn 2 ? aa?oeeaeuei? noiyee 3 neeaaeathoue oi?aiaaeue.

AENIIAEE

?ic?iaeaia eiino?oeoe?y aoce?a niieo/aiiy noaeaaaoiiii? aaeee c
oi?aiaaeai, aeaiaio?a oi?aiaaey i?ae niaith.

Iieacaii, ui oi?aiaaeue c aei?noeeie aoceaie ca?eueoo? iano/o
caeaoi?noue, ii??aithth/e c aaeeith, yea ia ia? i?aeneeaiiy, a 2.6 ?ace,
c oa?i??ieie aoceaie – 2.4 ?ace.

?ic?iaeaia oa aenia?eiaioaeueii iaa?oioiaaia eiino?oeoe?y iiia?aaeiuei
iai?oaeaiiai oi?aiaaey ? iieacaii, ui iiia?aaei? iai?oaeaiiy aeicaiey?
ae?noaoe ?oeioaaiiy eiino?oeoe?? i?e iaeii/aniiio aeinyaiaii? iaae?
oaeo/ino?, ye o noeneeo aieieiao iaieie, oae ? a aeaiaioao oi?aiaaey.

Iieacaii, ui iiia?aaei? iai?oaeaiiy oi?aiaaey ca?eueoo? iano/o
caeaoi?noue, ii??aithth/e c iaiai?oaeaiei oi?aiaaeai a 1.1 ?ace, i?e
i?eaeecii iaeiaeiaeo iaoai?/ieo oa?aeoa?enoeeao iaoa??aeo iaieie oa
oi?aiaaey.

?ic?iaeaia iaoiaeeea ?ic?aooieo noaeaaaoiiieo aaeie i?yiieooiiai
ia?a??co, ci?oeiaieo oi?aiaaeai, i?e ei?ioei/aniiio iaaaioaaeaii? c
o?aooaaiiyi iae?i?eiino? aeaoi?ioaaiiy ? o??ueiiooai?aiiy aaoiio a
oiiaao iaiaeii?iaeiiai iai?oaeaiiai noaio.

?ic?iaeaia i?ia?aia ?ic?aooieo noaeaaaoiiieo aaeie, ci?oeiaieo
oi?aiaaeai, i?e iicaoeaio?iaiio noeneo.

Aiae?c aeei?enoaiiy noaeaaaoiiieo eiino?oeoe?e c i?aeneeaiiyi a
?iicaiiiio aoae?aieoeoa? iieacaa ?o ia?aaaao iaae ?ioeie oeiaie
eiino?oeoe?e i?e aaeeeeo iaaaioaaeaiiyo oa iaiaaeaieo ?ici??ao ia?a??co.

Ia cai?iiiiiaaio eiino?oeoe?th noaeaaaoiiii? oi?aiaaeueii? aaeee
io?eiaii iaoaio Oe?a?ie.

Iaoiaeeea ?ic?aooieo oa eiino?oeoe?? noaeaaaoiiieo aaeie, ci?oeiaieo
oi?aiaaeai ai?iaaaeaeaii a i?iaeoi? ??oaiiy aoae?aieoeoaa ia’?eo?a II
“I?aaeaio?ainaoae”.

Iniiai? iieiaeaiiy aeena?oaoe?? iioae?eiaai? o ianooiieo i?aoeyo:

*eoeaaeca Y.Ae., Aaooey A.E. ?an/ao noaeaaaoiiiuo eieiii
i?yiioaieueiiai na/aiey ia i?i/iinoue i?e i?iaeieueiii ecaeaa. //
Cae?cie/iee o?ainii?o Oe?a?ie – 1997. — ? 2-3. — N. 51 – 53.

*eoeaaeca Y.Ae., Aaooey A.E. Eniuoaiea noaeaaaoiiiuo oi?aiaaeueiuo aaeie
// Iaoeiaee a?niee aoae?aieoeoaa. — Oa?e?a, OAeOOAA, OIOA AAO — 1994. —
Aei. 5. — N. 88-92.

Iao. 25695 Oe?a?ie, IE? A 04 N 2/293. Noaeaaaoiiia oi?aiaaeueia aaeea /
Y.Ae. *eoeaaeca, A.E. Aaooey (Oe?aeia). — ?97063249; Cayaeaii 27.06.97;
Iioae. 25.12.98; Athe. ?6.

Aaooey A.E. Yenia?eiaioaeueiua enneaaeiaaiey iaoaie/aneeo naienoa
noaeaaaoiiiuo a?onueaa i?yiioaieueiiai na/aiey, oneeaiiuo oi?aiaaeai //
Cae?cie/iee o?ainii?o Oe?a?ie. — 1998. — ?4-5. — N. 40-41.

Aaooey A.E., Iao?ia A.I. Iiaua i?ia?anneaiua ?aoaiey eiino?oeoeee
iaaeaeoyoaaeiuo ia?ae?uoee e oa?i iie?uoey ec noaeaaaoiia:
Eioi?iaoeeiiiue eenoie EE? 171-94. — Oa?ueeia, 1994. — N.1-3.

Aaooey A.E. Iai?oaeaii-aeaoi?iiaaiee noai noaeaaaoiiieo aaeie,
ci?oeiaieo oi?aiaaeai // Oac. aeii. 57-? iaoe.-oaoi. eiio. eaoaae? ?i-oo
oa niaoe?ae?no?a cae?ci. o?-oo c i?aeia?iaeiith o/anoth. — Oa?e?a, 1995.
— 43 n.

AIIOAOe?ss

Aaooey A.E. Iano/a caeaoi?noue noaeaaaoiiieo aaeie i?yiieooiiai
iiia?a/iiai ia?a??co, ci?oeiaieo noaeueiei oi?aiaaeai. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.23.01 – aoae?aaeuei? eiino?oeoe??, aoae?ae? oa
nii?oaee. – Oa?e?anueea aea?aeaaia aeaaeai?y cae?cie/iiai o?ainii?oo,
Oa?e?a, 1999.

Aeena?oaoe?y i?enay/aia ?ic?iaoe? iaoiaeeee aecia/aiiy iano/i?
caeaoiino? noaeaaaoiiieo aaeie i?yiieooiiai iiia?a/iiai ia?a??co,
ci?oeiaieo noaeueiei oi?aiaaeai, c o?aooaaiiyi aeanoeainoae
aeaoi?ioaaiiy aaoiio a oiiaao ia’?iiiai iai?oaeaiiai noaio oa noaeueii?
iaieie a oiiaao aeaiinueiaiai iai?oaeaiiai noaio. I?iaaaeaii
aenia?eiaioaeuei? aeine?aeaeaiiy noaeaaaoiiieo aaeie a oiiaao
ei?ioei/aniiai noaoe/iiai iaaaioaaeaiiy. Iniiai? ?acoeueoaoe ?iaioe
ai?iaaaeaeai? o aoae?aieoeoai.

Eeth/ia? neiaa: noaeaaaoiiia aaeea, oi?aiaaeue, iiia?aaei? iai?oaeaiiy,
iai?oaeaii-aeaoi?iiaaiee noai, iano/a caeaoi?noue, oa?i??, iaaea
oaeo/ino?.

Aaooey A.E. Ianouay niiniaiinoue noaeaaaoiiiuo aaeie i?yiioaieueiiai
iiia?a/iiai na/aiey, oneeaiiuo noaeueiui oi?aiaaeai. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.23.01 – no?ieoaeueiua eiino?oeoeee, caeaiey e
nii?oaeaiey. — Oa?ueeianeay ainoaea?noaaiiay aeaaeaiey
aeaeaciiaei?iaeiiai o?ainii?oa, Oa?ueeia, 1999.

Ia iniiaaiee aiaeeca iaoiaeia ?an/aoa noaeaaaoiiiuo e
noaeaaeaeaciaaoiiiuo eiino?oeoeee naeaeai auaiae, /oi aii?inu ?an/aoa
noaeaaaoiiiuo ecaeaaaiuo eiino?oeoeee n iiaee?aieaieyie, a /anoiinoe
oi?aiaaeueiuo aaeie, eco/aiu iaaeinoaoi/ii. I?iaaaeaiu
yenia?eiaioaeueiua enneaaeiaaiey noaeaaaoiiiuo ecaeaaaiuo aaeie
i?yiioaieueiiai iiia?a/iiai na/aiey, oneeaiiuo oi?aiaaeai, i?e
e?aoeia?aiaiiii noaoe/aneii caa?oaeaiee. Eniuoaii 9 ia?acoeia, a 3 ec
eioi?uo, auei inouanoaeaii i?aaeaa?eoaeueiia iai?yaeaiea oi?aiaaey.
?ac?aaioaiu oceu nii?yaeaiey aaeee ni oi?aiaaeai, yeaiaioia oi?aiaaey
iaaeaeo niaie e i?iaaaeaia yenia?eiaioaeueiay ioeaiea i?aaeeiaeaiiuo
?aoaiee. Iieacaii, /oi oi?aiaaeue n aeanoeeie oceaie oaaee/eaaao
ianouoth niiniaiinoue noaeaaaoiiiuo aaeie a 2.6 ?aca, n oa?ie?iuie
oceaie – a 2.4 ?aca. ?ac?ooaiea ia?acoeia oa?aeoa?eciaaeinue
aeinoeaeaieai oaeo/anoe iaieiu a naeaoie ciia, n iineaaeothuei a?
auio/eaaieai. Iai?yaeaiey a yeaiaioao oi?aiaaey ninoaaeyee 70% e 65% io
iai?yaeaiee oaeo/anoe, niioaaonoaaiii i?e naa?iii e oa?ie?iii
niaaeeiaieyo oceia eiino?oeoeee.

?ac?aaioaia eiino?oeoeey i?aaeaa?eoaeueii iai?yaeaiiiai oi?aiaaey e
i?iecaaaeaia ioeaiea aeeyiey i?aaeaa?eoaeueiiai iai?yaeaiey ia
iai?yaeaiii-aeaoi?ie?iaaiiia ninoiyiea eiino?oeoeee. ?ac?ooaiea
yenia?eiaioaeueiuo ia?acoeia i?iecioei i?e iaeiia?aiaiiii aeinoeaeaiee
i?aaeaea oaeo/anoe, eae a naeaouo aieieiao iaieiu, oae e yeaiaioia
oi?aiaaey.

?ac?aaioaia iaoiaeeea ii?aaeaeaiey ianouae niiniaiinoe noaeaaaoiiiie
aaeee i?yiioaieueiiai na/aiey, oneeaiiie oi?aiaaeai, i?e e?aoeia?aiaiiii
aicaeaenoaee n o/aoii iaeeiaeiinoe aeaoi?ie?iaaiey e o?aueiiia?aciaaiey
aaoiia a oneiaeyo iauaiiiai iaiaeii?iaeiiai iai?yaeaiiiai ninoiyiey.
?anniao?eaaaiay eiino?oeoeey iiieii aiaoiae noaoe/aneie iaii?aaeaeeiinoe
eiaao aua e aioo?aiithth noaoe/aneoth iaii?aaeaeeiinoue, eioi?ay
iaoneiaeaia eiiieaeniinoueth na/aiey (aaoiiiia yae?i, noaeueiay iaieia).
Aiaoiyy e aioo?aiiyy noaoe/aneea iaii?aaeaeeiinoe ?ane?uaathony a
aaeeiii i?ioeanna iineaaeiaaoaeueiuo i?eaeeaeaiee.

?aaeecaoeey ?an/aoia inouanoaeaia ia IYAI. I?ia?aiia ?an/aoa ninoieo ec
aeaoo aeieia iniiaiie i?ia?aiiu e iaeaoa iiaei?ia?aii. A aeieao iniiaiie
i?ia?aiiu ?ane?uaathony aioo?aiiyy e aiaoiyy noaoe/aneea
iaii?aaeaeeiinoe nenoaiu. Iniiaiay i?ia?aiia inouanoaeyao aaiae
enoiaeiuo aeaiiuo; ii?aaeaeaiea ianneaia ia?aiaiiuo; ii?aaeaeaiea
ia?aiao?ia iiaeaee IE?; ii?aaeaeaiea ia?aiauaiee a noaeueiie iaieia io
aaeeie/iuo nee ninoiyiee e aeaoi?iaoeee; ii?aaeaeaiea cia/aiee ooieoeee
iai?yaeaiey e aa i?iecaiaeiie ia eiioo?a i?e ?acee/iuo ninoiyieyo;
ii?aaeaeaiea ia?aiauaiee aaoiiiiai yae?a io aeaoi?iaoeee e aaeeie/iuo
nee; oi?ie?iaaiea NEAO iaoiaea nee n o/aoii aueeth/aiey naycae.

Ia i?aaeeiaeaiioth eiino?oeoeeth noaeaaaoiiiie aaeee, oneeaiiie
oi?aiaaeai, iieo/ai iaoaio Oe?aeiu. Iaoiaeeea ?an/aoa e eiino?oeoeee
noaeaaaoiiiuo aaeie, oneeaiiuo oi?aiaaeai, aiaae?aiu a i?iaeoiua ?aoaiey
no?ieoaeuenoaa iauaeoia II “THaeo?ainno?ie”. Aiaeec eniieueciaaiey
noaeaaaoiiiuo eiino?oeoeee n iiaee?aieaieyie a ca?oaaaeiii
no?ieoaeuenoaa iieacae eo i?aaeii/oeoaeueiinoue ia?aae ae?oaeie oeiaie
eiino?oeoeee i?e aieueoeo iaa?oceao e ia?aie/aiiuo ?acia?ao na/aiey.

Eeth/aaua neiaa: noaeaaaoiiiay aaeea, oi?aiaaeue, i?aaeaa?eoaeueiia
iai?yaeaiea, iai?yaeaiii-aeaoi?ie?iaaiiia ninoiyiea, ianouay
niiniaiinoue, oa?ie?, i?aaeae oaeo/anoe.

Vatulya G.L. Carrying capacity of rectangular steel-concrete beam,
strengthened by the steel tie-rod. – Manuscript.

Dissertation for scientific degree of candidate of technical sciences by
speciality 05.23.01 – building constructions, buildings and structures.
– Kharkov State Academy of Railway Transport, Kharkov, 1999.

The dissertation is devoted to elaboration of methodology for carrying
capacity determination of bending rectangular steel-concrete beam,
strengthened by the steel tie-rod, taking into account peculiarity of
concrete work under the conditions of three-dimensionally stressed state
and steel casing — under the conditions of two-dimensionally one.
Experimental researches were carried out under the short-term static
loading. The basic results of the work were proposed to be used in
practice.

Key words: steel-concrete beam, tie-rod, pre-stressing, stress-strained
state, carrying capacity, hinge, yield limit.

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Iano/a caeaoi?noue noaeaaaoiiieo aaeie i?yiieooiiai ia?a??co, ci?oeiaieo
noaeueiei

oi?aiaaeai

Aaooey Ae?a Eaii?aeiae/

A?aeiia?aeaeueiee ca aeione

?iiaiaiei A.A.

I?aeienaii aei ae?oeo 22.09.99 ?.

Oi?iao iaia?o 64×84 1/16. Iai?? ienaeueiee.

Ae?oe ionaoiee. Oiiai.-ae?oe.a?e.1,0.Iae.-aeae.a?e. 1,2.

Caiiaeaiiy ? 424. Oe?aae 100 aec.

Aeae. Oa?AeACO, 310050, i. Oa?e?a-50, iaeaeai Oae??aaoa, 7.

Ae?oe. Oa?AeACO, 310050, i. Oa?e?a-50, iaeaeai Oae??aaoa, 7.

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