Received October 12, 2012/ revised January 4, 2013/ accepted May 24, 2013
Copyright ⵑ 2013 by the Korean Society of Civil Engineers
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0)
ǣǣȀȀǤǤȀͳͲǤͳʹͷʹȀ ǤʹͲͳ͵Ǥ͵͵ǤͷǤʹͲͺͳ Ǥ ǤǤ
⛯ᡣⶾ㬖ᤶ⮎#Ꮾ㋆㬚#♪ⵣጎⴖ#⛢ኂᢦኂ#⚛⬞⺺Ꮾ␂Ⱨ#⍂⛛
࣭֜ন ȵঃผ ȵண
Koo, Bon Sung*, Han, Sang Hoon**, Cho, Choong Yuen***
Life Cycle Cost Analysis at Design Stage of Cable Stayed Bridges based on the Performance Degradation Models
ABSTRACT
Recently, the demand on the practical application of life-cycle cost effectiveness for design and rehabilitation of civil infrastructure is rapidly growing unprecedently in civil engineering practice. Accordingly, in the 21st century, it is almost obvious that life-cycle cost together with value engineering will become a new paradigm for all engineering decision problems in practice. However, in spite of impressive progress in the researches on the LCC, the most researches have only focused on the Deterministic or Probabilistic LCC analysis approach and general bridge at design stage. Thus, the goal of this study is to develop a practical and realistic methodology for the Life-Cycle Cost LCC-effective optimum decision-making based on reliability analysis of bridges at design stage. The proposed updated methodology is based on the concept of Life Cycle Performance(LCP) which is expressed as the sum of present value of expected direct/indirect maintenance costs with expected optimal maintenance scenario. The updated LCC methodology proposed in this study is applied to the optimum design problem of an actual highway bridge with Cable Stayed Bridges. In conclusion, based on the application of the proposed methods to an actual example bridge, it is demonstrated that a updated methodology for performance-based LCC analysis proposed in this thesis, shown applicably in practice as a efficient, practical, process LCC analysis method at design stage.
Key words : Life Cycle Cost at Design Stage, Performance Degradation Models, Cable Stayed Bridge
Ⅹಾ
↽ɝ, ᨵḡܩᨕย᮹ᝅྕᨱᕽ☁༊ᖅྜྷ᮹ᖅĥၰᮁḡšญ݉ĥෝ᭥⦽⬉ŝᱢᯙᔾᧁᵝʑእᬊ(Life Cycle Cost; LCC) ᔑᱶႊჶ᮹ᝅྕ
ᱢᯙᱢᬊᨱݡ⦽Ǎa׳ᦥḡŁᯩ݅. ᯕ᪡zᯕ, 21ᖙʑᨱॅᨕᨵḡܩᨕย᮹↽ᱢ᮹ᔍđᱶ᮹ᝅྕᱢྙᱽᨱa⊹Ŗ⦺ŝᇩᨕᔾᧁᵝʑ እᬊᇥᕾᮡᔩಽᬕ➉్݅ᯥᮝಽᵝ༊ၼŁᯩḡอᯕ్⦽ᩑǍ}ၽ᮹ť༊⧁อ⦽ḥᅕᨱࠥᇩǍ⦹Ł, ݡᇡᇥ᮹ᖅĥ݉ĥᔾᧁᵝʑእᬊᇥᕾ
ᮡ⪶ᱶᱢ, ⪶ශᱢᇥᕾʑჶᨱə⊹ŁᯩŁᱢᬊa܆⦽Ǎ᳑ྜྷࠥᯝၹƱపᨱǎ⦽ࡹᨕᯩ݅. ᕽᅙםྙᮡᖅĥ݉ĥᔾᧁᵝʑእᬊᇥᕾᨱ
ݡ⦽ᝅᬊᱢᯕŁ⧊ญᱢᯙᝁᖒ⧕ᕾʑၹᖒ܆ᱡ⦹༉ߙᮥŁಅ⦹ᩍʑ᳕᮹ᇥᕾႊჶᮥᨦߑᯕ✙⦹۵ᇥᕾႊჶುᮥ}ၽ⦹Łᯕෝ✚ᙹƱᯙ
ᔍᰆƱᨱᱢᬊ⦹۵ߑ༊ᱢᯕᯩ݅. ᯕᨱ⩥ᰍa⊹᮹⧊ᮝಽ⢽⩥ࡹ۵Ḣ/eᱲᮁḡšญእᬊᮥʑ᳕ႊჶŝ۵݅íʑݡᖒ܆ᱡ⦹༉ߙᨱၵ┶
ᮥࢵ↽ᱢᮁḡšญӹญ᪅ෝ☖⦽ᔾᧁᵝʑእᬊᇥᕾʑჶᮝಽᱽ⦹ᩡ݅. ษḡสᮝಽᅙםྙᨱᕽᱽᦩ⦽ᨦߑᯕ✙ࡽᔾᧁᵝʑእᬊᇥᕾ ᮹ႊჶುᮥᝅᱽŁᗮࠥಽᔍᰆƱÕᖅ⥥ಽ᱾✙᮹ᖅĥ݉ĥ᮹ᔍđᱶྙᱽᨱᱢᬊ⦹ᩍ⧊ญᱢᯕŁℕĥᱢᯙᇥᕾႊჶၰ↽ᱢ᮹ᔍđᱶŝᱶ
ᮥᱽ⦹ᩡ݅.
áᔪᨕ ᖅĥ݉ĥᔾᧁᵝʑእᬊ, ᖒ܆ᱡ⦹༉ߙ, ᔍᰆƱ
֨ėěν
Fig. 1. Problem of Existing LCCA Method
1. ᕽು
⩥ᰍǎԕᨱᕽÕᖅʑᚁšญჶ⧪ಚᱽ38᳑᮹13(2011. 9.
}ᱶ)ᨱ᮹ÑⅾŖᔍእ100ᨖᬱᯕᔢᯙŖŖၽᵝŖᔍᨱݡ⦹ᩍ
LCC(Life Cycle Cost; ᯕ⦹ LCC) ᇥᕾᮥ ⧪⦹ࠥಾ ᮹ྕ⪵
⦹Łᯩ݅. ⦹ḡอḡɩʭḡ}ၽࡽƱపLCCᇥᕾᮡᯝၹᱢᯙ
Ʊపᨱอᇥᕾႊჶುᯕǎ⦽ࡹᨕᯩᨕ⩥ᰍǎԕ✚ᙹƱ᮹ᖅĥ
ၰŖ, ᮁḡšญa᷾a⦹Łᯩ۵⇵ᖙෝၹᩢ⦹ḡ༜⦹Łᯩ۵
äᯕ⩥ᝅᯕ݅. ᯕ్⦽ྙᱽᱱᮥ⧕đ⦹ʑ᭥⧕ᕽ۵✚ᙹƱᨱᱢᬊ
a܆⦹໑, ⪶ᱶᱢᇥᕾ᮹⦽ĥෝɚᅖ⦹۵ᝁᖒ⧕ᕾʑၹLCCᇥ ᕾႊჶᯕ⦥⦹݅Łᅙ݅. ᕽᅙםྙ᮹༊ᱢᮡᔍᰆƱ᮹
ᖅĥ݉ĥLCC ᇥᕾᮥ᭥⦽ᝅᬊᱢᯕŁ⧊ญᱢᯙႊჶುᮥ}ၽ⦹
۵ߑ ᯩ݅. ੱ⦽, ݡᇡᇥ᮹ ᖅĥ݉ĥ LCC ᇥᕾᨱ š⦽ ᩑǍa
⪶ᱶᱢ, ⪶ශᱢᇥᕾᙹᵡᨱə⊹Łᯩᨕʑ᳕᮹ᇥᕾႊჶᮥᨦߑᯕ
✙⦹۵LCC ᇥᕾ ႊჶುᮥ᭥⧕ᮁḡšญ݉ĥLCC ᇥᕾᨱᕽ
ᩑǍࡹᨕḡŁᯩ۵eᯕಆᝁᖒ⧕ᕾʑၹLCC ᇥᕾʑჶᮥ
ᖅĥ݉ĥ LCC ᇥᕾᨱ ᱢ⧊⦹ࠥಾ ᄡ⪹⦹ᩍ ᱢᬊ⦹Łᯱ ⦽݅.
ݍญǍᇥ⦹ᩍᅕᙹ⧎༊᮹ Ğᬑᔢ┽⠪aෝ☖⧕đᱶࡹᨕḡ۵
ᔢ┽ḡᙹෝ, ᅕv⧎༊ᮡᔍᰆƱ᮹ᝁᖒ⧕ᕾᮥ☖⧕ᨕḡ۵
ᝁᖒḡᙹෝ, Ʊℕ⧎༊᮹Ğᬑ⪶ශ, ☖ĥᇥᕾᮥʑၹᮝಽ⦹۵
ᨱݡ⧕ᇥᕾ⦹ᩍbb᮹ᮁḡšญ⧪᭥aƱపᨱၙ⊹۵ᱶపᱢ
⬉ŝෝ ᇥᕾ⦹Łᯱ ⦽݅.
2. ᖅĥ݉ĥLCCᇥᕾႊჶ
2.1 LCC ंজஜ
ᖅĥၰᮁḡšญ݉ĥᨱᕽLCCᇥᕾႊჶᨱෙᇥᕾᙹᵡᮡ
Ⓧí3aḡಽǍᇥ⧁ᙹᯩ݅. ᬑᖁ, ⪶ᱶᱢᇥᕾႊჶᯙDLCCA (Deterministic Life Cycle Cost Analysis) ۵ ݉ᙽ ⪶ᱶsอᮥ
ᯕᬊ⦹ᩍᖅĥ݉ĥ↽ᱢ᮹Ʊప⩶ᖁᱶ, ԕǍᖒᰍഭᖁ┾, ᮁḡš ญ݉ĥᨱᕽ۵ Ʊప᮹ ᮁḡšญ ᱥఖ, ⩥ ݉ĥ᮹ ᮁḡšญ Ŗჶ
ᖁᱶྙᱽᨱᱢᬊࢁᙹᯩ݅. ⦹ḡอDLCCA۵᯦ಆᄡᙹ᮹ᇩ⪶ᝅ ᖒᮥŁಅ⦹ḡᦫᮝအಽ↽⪶ʑݡ⊹อᮥaḡŁᇥᕾᮥᙹ⧪⦹ʑ
ভྙᨱəđŝࠥ↽⪶ʑݡ⊹sอᮥíࡹᨕᇥᕾ᮹ᝁࠥŝ
ྕԏᦥၝqࠥᇥᕾᮥᙹ⧪⦹ᩍ⦽݅. ⪶ශᱢᇥᕾႊჶᯙ
PLCCA(Probabilistic Life Cycle Cost Analysis)۵᯦ಆᄡᙹ᮹
⪶ශᱢ✚ᖒ⊹(ᇥ⡍⩶┽, ↽⪶ʑݡ⊹, ᄡ࠺ᖒ)ෝ⪶ශ༉ߙᨱݡ⦽
ဍ౩ᯕᖹᯕa܆⦽ᜅ▽ᨱ᯦ಆ⊹ಽŁಅ⧉ᮝಽᕽLCCᇥᕾ
ᮥᙹ⧪⦹۵ႊჶᯕ݅. ᯕ۵DLCCAႊჶᅕ݅⧊ญᱢᯕ໑ŝ⦺ᱢ ᯙႊჶᯕḡอ, LCCᇥᕾ༉ߙŝšಉࡽฯᮡᄡᙹᨱݡ⦽⪶ශ༉ߙ
ၰ✚ᖒ⊹ᨱݡ⦽᳑ᔍၰญa⦥⦹အಽฯᮡeŝיಆᯕ
⦥⦹݅۵݉ᱱᮥwŁᯩ݅. ษḡสᮝಽᅙםྙᨱᕽᱢᬊ⦹Łᯱ
⦹۵ᝁᖒʑၹᇥᕾႊჶᮡǍ᳑ྜྷ᮹ ᔾᧁᵝʑ࠺ᦩǍ᳑ᱢᯙ
Ñ࠺ŝšಉ⦹ᩍⅩʑእᬊᐱอᦥܩၽᔾa܆⦽༉ु⦽ĥᔢ┽
ᨱݡ⦽ʑݡᅖǍ⪶ශŝəᨱᔢ᮲⦹۵እᬊᯕŁಅࡹᨕ⦽݅.
ᯕ్⦽ʑݡᅖǍ⪶ශၰʑݡእᬊᮥᔑᱶ⦹ʑ ᭥⧕ᕽ۵ᄥࠥ᮹
ᝁᖒ⧕ᕾ}ֱᯕŁಅࡹᨕ⦽݅. ᯕ్⦽ᇥᕾᮡeᯕಆ Ǎ᳑
ᝁᖒ⧕ᕾႊჶ᮹ᔍᬊᮥ☖⦹ᩍอ⧊ญᱢᮝಽ⧕đ⧁ᙹᯩ݅.
ᝅᱽƱపǍ᳑ྜྷ᮹ᖒ܆ᮡǍ᳑ྜྷ᮹ᦩᱥᖒၰᔍᬊᖒᨱᩢ⨆ᮥ
ᦩᄡ⪵aၽᔾ⦹íࡽ݅. ᕽ↽ɝᨱ۵ᔾᧁᵝʑ࠺ᦩeᯕಆ
Ǎ᳑ᝁᖒ ⧕ᕾႊჶ᮹ ⦥ᖒᯕ ᵝ⦽ ᗭಽᕽ ᵝ༊ၼŁ ᯩ
݅. ᝁᖒʑၹLCCᇥᕾᮡᵝಽᮁḡšญ݉ĥLCCᇥᕾᩑǍᨱ
ǎ⦽ࡹᨕᯩᮝ໑, ᖅĥ݉ĥᨱݡ⦽ᝁᖒʑၹLCCᇥᕾႊჶᮡ
ᩑǍࡹᨕ᪅ḡ༜⧩݅. ᯕᨱᅙםྙᨱᕽᝁᖒ⧕ᕾʑၹᔍᰆƱ᮹
ᖅĥ݉ĥ LCCᇥᕾ ႊჶᮥ ᱽ⦹Łᯱ ⦽݅.
2.2 ׆LCCंজଭࢂ୪
LCC ᇥᕾᨱ ᯩᨕ ᮁḡšญ እᬊᮡ ᩍ్ እᬊ ⧎༊ ᵲ aᰆ
ᵲ⦽ᇥᕾᗭᯕ݅. ᯕ۵ᦿᖁฯᮡᩑǍᨱᕽ᷾ࡹᨕḥၵ᪡
zᯕƱప᮹ᖅĥ݉ĥ᮹↽ᱢ᮹ᔍđᱶᮥ᭥⧕ᖁⅩʑእᬊ↽ᱢ⪵
aᦥܭᮁḡšญእᬊŝ⧕ℕ·⠱ʑእᬊ᮹ᔑᱶᮥ☖⦽ⅾLCC⊂໕ ᮹ᇥᕾᮥᝅ⧕⦹ʑভྙᯕ݅. ᖅĥ݉ĥLCCᇥᕾႊჶᵲ
⪶ᱶᱢLCC᪡⪶ශᱢLCC۵Ʊప᮹Ǎᖒᗭ᮹ᖒ܆ᱡqᨱෙ
ᖒ܆ᱡ⦹༉ߙᯕŁಅࡹḡᦫᦹ݅. ᯕᨱࢱaḡLCCᇥᕾႊჶᨱᕽ ۵ᅕᙹ, ᅕv, Ʊℕ᮹݉ᙽᵝʑӹ⪶ශᇥ⡍อᮥᯕᬊ⦹ᩍᮁḡšญ እᬊᮥᔑᱶ⦹ʑভྙᨱFig. 1ŝzᯕእᬊ⧎༊᮹ᵲᅖၽᔾ⬉ŝෝ
⧊ญᱢᮝಽŁಅ⦹ḡ༜⦹ᩡ݅. ᯕ్⦽ᬱᯙᮡᅕᙹ, ᅕv, Ʊℕ᮹
ᱶ⪶⦽⬉ŝӹᔢššĥෝŁಅ⦹ḡ༜⧉ᨱᯩ݅. ᯕ౨ॐᖅĥ݉ĥ
᮹ᔍđᱶᮥᙹ⧪⦹۵ߑᯩᨕ⧊ญᱢᯙᱩ₉ᨧᯕ⇵ᱶࡽᮁḡšญ
ᵝʑӹእᬊ॒ᮥ☖⦹ᩍ}ఖᱢᯙႊᮝಽእᬊᮥ⇵ᱶ⧁Ğᬑ,
ᮁḡšญእᬊ᮹ ᔑᱶᯕ ᝅᱽ ၽᔾእᬊŝ ݅í ᔑᱶࢉᮝಽ៉
Fig. 2. Performance Degradation LCC Analysis
Fig. 3. Performance Index Profile without Maintenance Fig. 4. Performance Control Index Profile
LCC ᇥᕾ⬉ŝෝᱡ⧕⧁ᙹᯩ݅. ᯕෝ᭥⧕ᕽᖅĥ݉ĥᨱᕽࠥ
ᅕᙹ, ᅕv, Ʊℕ᮹ᱶ⪶⦽⬉ŝӹᔢššĥෝ❭ᦦ⦹ᩍ⬉ŝᱢᯙ
ᮁḡšญእᬊᔑᱶᯕၹऽ⦥⦹໑ᯕ۵bǍᖒᗭᄥᅕᙹ, ᅕv, Ʊℕ✚ᖒᨱ฿۵ᖒ܆ᱡ⦹༉ߙ᮹ᩑǍaᙹၹࡹᨕ⦽݅.
2.3 ডծۚծ LCCंজଡԹটܤࢺ࣑
2.3.1 নۇୠ׆ࢱLCCंজ
⩥ᰍᮁḡšญ݉ĥLCCᨱᕽ۵ᖒ܆ᱡ⦹łᖁŝ↽ᱢᮁḡšญ
ӹญ᪅ᨱ᮹⧕LCCᇥᕾᮥᝅ⦹Łᯩᮝӹ, ᇥᕾ᮹ᅖᰂ⧉ŝ
eᱢᯙ⚍ᯱ, ᖅĥ݉ĥᨱᱢ⧊⦽༉ߙ᮹ᇡᰍಽᯙ⧕ᖅĥ݉ĥෝ
᭥⦽ᖒ܆ᱡ⦹ʑၹLCCᇥᕾʑჶᮡᱥྕ⦹݅. ᯕᨱ݅ᮭFig. 2ᨱ
ʑ᳕ᇥᕾႊჶŝ᮹₉ᯕᱱŝᖅĥ݉ĥᖒ܆ᱡ⦹ʑၹᔾᧁᵝʑእ ᬊ ᇥᕾႊჶುᮥ ӹ┡ԕᨩ݅. Fig. 2ᨱᕽ ᅕॐᯕ ʑ᳕ ⪶ᱶᱢ,
⪶ශᱢLCCᇥᕾᱩ₉۵ᖒ܆łᖁʑၹᖒ܆⦽ĥ⊹ᖅᱶᮥ☖⧕
ᮁḡšญእᬊᮥᔑᱶ⦹ḡᦫᦹ݅. ᯕ్⦽ᖅĥ݉ĥᖒ܆ᱡ⦹ʑၹ
LCCᇥᕾᮥ᭥⧕ᖁᯝၹᱢᯙᔾᧁᵝʑᖒ܆༉ߙᯕ⦥⦹໑ᯕ్
⦽༉ߙᮡᮁḡšญ݉ĥᨱᕽᔍᬊ⦹۵༉ߙᮥᖅĥ݉ĥᨱᱢ⧊⦹
íᙹᱶ⦹ᩍᔍᬊ⦽݅. ᮁḡšญ݉ĥLCCᇥᕾŝᖅĥ݉ĥLCCᇥ ᕾᮡᕽಽ༊ᱢᯕᔢᯕ⦹ʑভྙᨱᖒ܆ᯙᯱ, ᖒ܆qᗭᮉ᮹ᔑᱶʑ ჶᮡᮁḡšญ݉ĥ᮹ᅖᰂ⦽༉ߙŝ۵ݍญ ᖅĥ݉ĥᨱᱢ⧊⦽
༉ߙᮥ ᔍᬊ⦹í ࡽ݅.
2.3.2 নۇଲߚմট
ᯝၹᱢᮝಽᔾᧁᵝʑᖒ܆༉ߙᮥ᭥⦽ᖒ܆ḡᙹᯕಆłᖁᮡᱥ
ᙹᨱÙℱᱱ₉ᱢᮝಽ(Ñ᮹ᖁ⩶ᱢᮝಽ) qᗭ⦹໑, ᖒ܆ḡᙹᯕಆ łᖁᮡ ᖁ⩶ᮝಽ aᱶ⦽݅(Liu and Frangopol, 2005). Ʊపᨱ
ᨕਁ⦽ᮁḡšญ᳑⊹ࠥᱢᬊࡹḡᦫᮡĞᬑ᮹Ⅹʑᖒ܆ᯕಆłᖁ
ᮡFig. 3ŝzᯕaᱶ⧁ᙹᯩ݅. Ⅹʑᖒ܆ᯕಆłᖁᮡⅩʑᖒ܆ḡ ᙹ, ᨕਁ⦽ᩕ⪵ࠥၽᔾ⦹ḡᦫᮥভʭḡᗱᔢ}e, ᩕ⪵ᮉ᮹
ᖙaḡ❭ၙ░ᨱ᮹⧕✚ᱶḡᬭḥ݅. b❭ၙ░ॅ᮹ᇩ⪶ᝅᖒ ᯕŁಅࡽ݅໕ᯕ్⦽⪶ශᄡᙹॅᮡᖒ܆༉ߙᨱ⧕ᕾᱢᮝಽ
ੱ۵☖ĥᱢᮝಽᮁࠥࡹÑӹ⇵ᱶࡽ݅. ᮁḡšญ᳑⊹᮹ᱢᬊᮡ
Table 1. Concept of Maintenance at Design Stage
Category Explanation Performance index
Repair In case of low effect of structure performance damage recovery ordinary state Conditions index
Reinforcement Rehabilitation Restore to the level of design due to being damaged / destroyed by carrying capacity decrease,
overload and disaster load Reliability index Retrofit Conditions improvement better than considered conditions in the design stage
Replace Replacement of accessory structures due to reach service life of component Determinded life
Fig. 5. Performance Degradation Models at Design Stage ᵝʑᱢᯕÑӹၙญᱶ⧕ḥ༊⢽ᖒ܆ᨱࠥݍ⧩ᮥĞᬑ᪡zᯕእᵝ
ʑᱢᯝᙹᯩ۵ߑᯕäᮥeᱽᨕ᪡ᖒ܆ᱽᨕಽǍᇥ⦹Łࢱ
aḡᮁḡšญᱢᬊႊჶᮥ⡍⧉⦹ᩍᮁḡšญᱥఖᮥᙹพ⧁ᙹ
ᯩ݅. ᅙםྙᮡ⩥ᰍᬑญӹ᮹ᮁḡšญᝅᱶᨱ฿⇵ᨕ⦽ĥᔢ┽
ᨱǍ᳑ྜྷᔢ┽aࠥݍ⧩ᮥĞᬑ, ᮁḡᅕᙹෝᝅ⦹۵äᮝಽ
Fig. 4᪡zᯕᖒ܆ʑၹᮁḡšญӹญ᪅ෝᖅĥ݉ĥLCCᇥᕾᨱ
ᱢᬊ⦹ᩡ݅.
3. ᖅĥ݉ĥᔾᧁᵝʑᖒ܆ᮥ᭥⦽ᖒ܆ᱡ⦹༉ߙ
3.1 ডծۚծ֗߆ଭনۇୀࢫনۇඌԧࡦ܄
3.1.1 ֗߆ଭনۇୀݗࠛনۇඌԧࡦ܄
Ʊప᮹ᔾᧁᵝʑᖒ܆༉ߙᮥᩩ⊂⦹۵ߑᯩᨕᖒ܆ᮥӹ┡ԕ۵
ᩍ్ ᯙᯱ ᵲ ᨕਅ ⧎༊ᮥ ᖁ┾⧁ ḡ ᩍᇡ۵ LCCෝ ᇥᕾ⦹۵
ᱱŝšಉࡹ໑, ᅕᙹ, ᅕv, Ʊℕ⧪᭥ᨱǍᇥࡹᨕ⦽݅.
ᯕᨱᅙםྙᨱᕽ۵ᦥ௹Table 1ŝzᯕᮁḡᅕᙹ⧪᭥ෝᱶ᮹⦹Ł
bbᩑšࡽᖒ܆ᯙᯱෝ☁ݡಽᖒ܆ᱡ⦹༉ߙᔑᱶႊჶᮥFig. 5
᪡ zᯕ ӹ┡ԕᨩ݅.
3.2 ࣪ාࡧଭনۇୠࡦ܄
3.2.1 ঃඌԧনۇୀࠜധনۇୠࡦ܄ॺ୨
ᅙםྙᨱᕽᔢ┽⠪aᨱŁಅ⦹۵ƱపǍᖒᇡᰍ۵⡍ᰆ, ၵ݆❱, Ñ, ᝁ⇶ᯕᮭ, ၼ⋉, ႑ᙹᖅ, ӽeᩑᕾ॒Ʊపݡᇡᇥ᮹Ǎ᳑
ᗭӹእǍ᳑ᗭᯕ݅. ⦹ḡอ⩥ᔢ┽⠪aℕĥᨱᕽ۵bƱప᮹
ᖒ܆ᮡA, B ॒᮹ྙᯱಽ⢽ࡹŁ, Ǎᖒᗭ۵ᗭྙᯱa, b ॒ᮝಽ
⢽ࡽ݅. ᔢ┽⠪aᯙᯱaᯕᔑᱢᮝಽ⢽⩥ࡹʑভྙᨱŖᬊ֥ᙹ
ᨱෙᖒ܆᮹ݡ⢽sᮥǍ⦹ʑ᭥⧕bŖᬊ֥ᙹษ݅ၽᔾa܆⦽
ᔢ┽᮹⠪ɁᮥǍ⦹۵॒᮹ႊჶᮡᬱ⊺ᱢᮝಽᱢᬊ⦹ʑ⯹ॅ݅.
ᖒ܆ᯙᯱෝᯕᔑᱢᮝಽ⢽⩥⦹۵⩥ℕĥ⦹ᨱᕽ⠪aࡹ۵Ʊప᮹
ᖒ܆ᮥၵ┶ᮝಽᖒ܆ᱡ⦹༉ߙᮥ}ၽ⦹۵äᮡᇩ⪶ᝅᖒᮥaᵲ
┍ᙹᯩᮝအಽᩑᗮᱢᯙᔢ┽⠪aෝa܆⦹ࠥಾ⦹۵ᔩಽᬕ
⠪aℕĥ᮹ ᱢᬊᯕ ⦥⦽ ᝅᱶᯕ݅. ᯕ᪡ zᮡ ᱽၹ ྙᱽᱱᮥ
⧕đ⦹ʑ᭥⧕⦽ǎᖅᦩᱥʑᚁŖ݉(2003)ᨱᕽ۵ƱపǍ᳑ྜྷ᮹
ᦩᱥᱱáၰᦩᱥḥ݉₦ᯥʑᚁᯱ᮹ᵝšᱢᯙč⧕ෝ↽ᗭ⪵⦹
Ł, ~šᱢᯙ ᯦ᰆᨱᕽ Ǎ᳑ྜྷ᮹ ᔢ┽⠪aෝ ᙹ⧪⧁ ᙹ ᯩࠥಾ
đ⧉ḡᙹ(0~1)ಽ ⢽⩥ࡹ۵ ᔩಽᬕ ⠪aʑᵡᮥ ᱽ⦽ ၵ ᯩ݅.
᳦௹᮹⠪aʑᵡᮡA, B, C, D, Eಽӹڹ໑ᯕᔑ⪵ࡹᨕᯩʑ
ভྙᨱ b ॒ɪॅ eᨱ ᔢ┽॒ɪᄡᯕᨱ ݡ⦽ ᱶపᱢᯙ ❱݉ᯕ
⯹ॅᨩၹ໕ᨱđ⧉ḡᙹ۵0ŝ1ᔍᯕ᮹ᩑᗮᱢᯙsᮝಽᯕᨕ ᲙᯩᨕŖᬊ֥ᙹᨱෙᔢ┽॒ɪ᮹ᱥᯕෝᱶపᱢᮝಽ❱݉⧁
ᙹ ᯩ݅. ə్ӹ ᯕ్⦽ đ⧉ḡᙹ۵ ə௹⥥ಽ ⢽⩥⦹ʑ ⯹ॅʑ
ভྙᨱᅙםྙᨱᕽ۵ᯕෝᄡ⪹⦽ᖒ܆ḡᙹෝᯕᬊ⦹ᩡ݅. đ⧉ḡ ᙹ᪡ᖒ܆ḡᙹ۵ᯝݡᯝᖁ⩶šĥෝᯕŁᯩʑভྙᨱᕽಽᄡ⪹
ᯕa܆⦹໑, ੱ⦽ʑ᳕ᨱᔍᬊ⦹Łᯩ۵ᔢ┽॒ɪŝࠥᛞíᄡ⪹ᯕ
a܆⧁äᮝಽ❱݉ࡽ݅. đ⧉ḡᙹෝᖒ܆ḡᙹಽᄡ⪹⦹۵ᮡ
ᖅᦩᱥʑᚁŖ݉ᨱᕽᔍᬊ⦹۵Eq. (1)ᮥᔍᬊ⦹ᩡŁ, ᖒ܆ḡᙹ, đ⧉ḡᙹ, ᔢ┽॒ɪᔍᯕ᮹ šĥ۵ Table 2ᨱ ӹ┡ԕᨩ݅.
©¢ á ÞÎí× à ¢ß Z Î×× (1)
ᩍʑᕽ, ©¢ á ۵ ᖒ܆ḡᙹ, ¢ á ۵ đ⧉ḡᙹ
Table 2. Performance Index, Defect Index, Condition Grade Performance index Defect index Condition grade
87 < PI G100 0 GDI< 0.13 A 74 < PI G87 0.13 GDI < 0.26 B 51 < PI G74 0.26 GDI < 0.49 C 21 < PI G51 0.49 GDI < 0.79 D
PI G21 0.79 GDI E
Fig. 6. Index of Condition Grade
Fig. 7. Rehabilitation Items Performance Degradation Model Table 2 ʑᵡᨱ ᖅྜྷᱶᅕšญ᳦⧊ᜅ▽(Facility
Management System; ᯕ⦹FMS), ᱶၡᦩᱥḥ݉, Ʊప⋕ऽᯱഭ
ෝᇥᕾ⦹ᩍᖒ܆ᱡ⦹༉ߙᮥᔑᱶ⧁ᙹᯩᮝ໑, ᔢ┽⠪a॒ɪʑᵡ ᨱݡ⦽ᯱᖙ⦽ԕᬊᮡ⦽ǎᖅᦩᱥʑᚁŖ݉(2003)ᨱᕽᱽŖ⦹۵
ᱶᅕෝ ௱݅.
3.3 ࣪Գාࡧଭনۇୠࡦ܄
3.3.1 ֜ੲ୨নԹڄ
ᅕv⧎༊᮹ᖒ܆ᯙᯱᯙᝁᖒḡᙹෝᔑᱶ⦹ʑ᭥⧕ᕽ۵Ǎ᳑
ᦩᱥᖒ}ֱᮥၵ┶ᮝಽᝁᖒ⧕ᕾᯕᙹ⧪ࡹᨕ⦹໑⦽ĥᔢ┽
⧉ᙹ᮹❭ƕ⪶ශĥᔑᮥ☖⧕ᝁᖒḡᙹෝᔑᱶ⧁ᙹᯩ݅. ⪶ශᱢ ᯙ}ֱᨱ᮹⦽Ǎ᳑ᦩᱥᖒ᮹ࠥᯙǍ᳑ྜྷ᮹ᝁᖒᮡ❭ᗱ⪶ශ (Failure probability)ŝᅕ⪶ශ᮹šĥෝw۵݅. Ǎ᳑ྜྷ᮹᯲ᬊ
ಆŝᱡ⧎ᯕྕ᯲᭥ᄡపᯙĞᬑ, Ǎ᳑ᦩᱥᖒᮡᩎྕ᯲᭥ᄡపᯙ
ᦩᱥᩍᮁ(Safety margin)ಽ⢽⩥ࡹ໑, ᦩᱥᩍᮁa0 ᯕ⦹ᯝভ
ᦩᱥᖒᮥ ᔢᝅ⦽ ❭ᗱ ੱ۵ ❭ƕᔢ┽a ࡽ݅.
©
Ƅá © ã³ á ƅÞ«ì ªß = ×ä á ©Þ« = ªß á ©Þ« à ª = ×ß (2)
ᩍʑᕽ, ƅÞ ß ᮥ⦽ĥᔢ┽⧉ᙹŁ⦹۵ߑ❭ᗱ⪶ශᮡ⦽ĥᔢ┽
᮹Ⅹŝ⪶ශŝ࠺ᯝ⦹ʑভྙᨱ❭ᗱ⪶ශᮥ ᯝ⦽ĥᔢ┽⪶ශ (Limit state probability) ᯕŁ⦽݅. ⦽ĥᔢ┽⧉ᙹ(Z)۵⦹ᵲ(Q) ŝᱡ⧎(R)᮹šĥಽ⢽⩥ࡹ໕⦹ᵲᯕᱡ⧎ᮥⅩŝ⧁ভ᮹sᮥ
☁ݡಽ❭ᗱ⪶ශ(P)ᮥᔑᱶ⦽݅. ᯕ్⦽❭ᗱ⪶ශᮡᄡ⪹ᮥ☖⧕
ᝁᖒḡᙹ᮹ sᮝಽ ᄡ⪹ࡽ݅.
3.3.2 ߲নࠜധনۇୠࡦ܄ॺ୨׆࣑
ᯕᔢ ᦿᕽ ᨙɪࡽ Ǎ᳑ᦩᱥᖒ}ֱᮥ ᯕᬊ⦹ᩍ ᝁᖒḡᙹෝ
☖⦽ᖒ܆ᱡ⦹༉ߙᮥᔑᱶ⦹ʑ᭥⧕ᕽ۵݅ᮭFig. 7ŝzᯕeᄡ
⪵ᨱෙᱡ⧎ᄡ⪵ᮉᨱݡ⦽ᩩ⊂ᯕᙹၹࡹᨕ⦽݅. ᯕ్⦽
ᱡ⧎ᄡ⪵ᮉᮥ⦽ĥᔢ┽⧉ᙹᨱᱢᬊ⦹ᩍǍ᳑ྜྷᙹeᝁᖒḡ ᙹ᮹ᄡ⪵ෝᩩ⊂⧁ᙹᯩ݅. ᯕ్⦽eᨱෙᱡ⧎qᗭߑᯕ░۵
ŝÑᯕಆߑᯕ░ၰᱥྙa❱݉ᮥ☖⧕ᨕḡŁ, ᯕෝၵ┶ᮝಽ
Ǎ᳑ྜྷ Ⅹʑ ᱡ⧎ᨱ ݡ⦽ Ǎ᳑ྜྷ ᙹ e ᱡ⧎ qᗭᮉᮡ ݅ᮭ
Fig. 7ŝ zᮡ ႊჶᮥ ෙ݅.
3.3.3 ॷୋ֗ଭ߲নැজ׆࣑
❭ƕ⪶ශᨱ ෙ ᝁᖒḡᙹ᮹ ᮹ၙෝ ᔢݡᱢᮝಽ ⠪a⦹ʑ
᭥⧕ᕽ۵ʑᵡᯕ⦥⦹အಽᱥᖙĥᱢᮝಽᝁᖒᖅĥᨱᕽݡఖ ᱢᮝಽᯙᱶࡹŁᯩ۵ƱపǍ᳑ྜྷ᮹☖ᔢᱢᯙ ᦩᱥʑᵡᮡၙǎ
AASHTOᨱᕽḡᬱ⦹ᩍᙹ⧪ࡽNCHRP (National Cooperative Highway Research Program) ᮹ Report 301(Load Capacity Evaluation of Existing Bridges, 1987)ᨱᕽ ᱽࡽၵ᪡ zᯕ
❭ƕ⪶ශʑᵡᮥ0.0002(0.02%, ᩍᬊᖒᯕᨧ۵Ǎ᳑; ᱢᮡᙹ᮹
Ǎᖒᗭ ❭ᗱᮝಽࠥ Ǎ᳑ྜྷ᮹ ᇶƕa ၽᔾ⦹۵ Ǎ᳑) ~ 0.006(0.6%, ᩍᬊᖒᯕᯩ۵Ǎ᳑; ᔢݚ⯩ฯᮡǍᖒᗭ᮹❭ᗱᨱ
᮹⧕ᕽอǍ᳑ྜྷ᮹ᇶƕaၽᔾ⦹۵Ǎ᳑)ಽᅕŁᯩᮝ໑, ੱ⦽
׳ᮡ sᮥ aḩᙹಾ ᦩᱶᱢᯙ ᝁᖒḡᙹ(Reliability index)ಽ
ӹ┡ԕ໕ᩍᬊᖒᯕᨧ۵Ǎ᳑۵3.5ಽ, ᩍᬊᖒᯕᯩ۵Ǎ᳑۵2.5ෝ
ʑᵡᮝಽᱢᬊ⦹۵⇵ᖙᯕ݅. ᅙםྙᨱᕽᱽᦩ⦹۵ᅕv⧎༊᮹
ᖒ܆ᱡ⦹༉ߙᮥᔑᱶ⦹ʑ᭥⧕ᕽᝁᖒ⧕ᕾᯕᙹၹࡹᨕ⦹໑
ᖅĥ݉ĥᨱᕽᙹ⧪᮹ᨕಅᬡᯕᨧࠥಾʑⅩᱢ ဍ౩ᯕᖹʑჶ
ᵲ⦹ӹᯙMCS(Monte Carlo Simulation) ʑჶᮥᔍᬊ⦹ᩡ݅.
ᔍᰆƱᝁᖒ⧕ᕾᮥ᭥⦽❭ƕ᭥⨹݉໕ᮡ⍡ᯕት, ᵝ┲, ᅕv⩶ᮝ
Table 3. Failure Event
Element Main Failure Event
Cable Tension Failure
Pylon Compression + 2axis bending moment Failure Concrete Deck Compression + 2axis bending moment Failure
Shear Failure Steel-Concrete Joint Shear Failure
Steel-Concrete Deck Compression + 2axis bending moment Failure
Fig. 8. Determination Life of Replace Items
Fig. 9. Mutual Relation of Maintenance ಽӹځ⨩ᬊ᮲ಆᖅĥჶၰvࠥᖅĥჶᨱ᮹⦽⦹ᵲ᳑⧊ᵲᨱᕽ
↽ݡᇡᰍಆᯕၽᔾ⦹Ñӹᦩᱥᩍᮁa᯲ᮡ᭥⊹ಽᖁᱶ⦹ᩡŁ, ᅕv⩶ᮡ⎹Ⓧญ✙᪡v⧊ᖒᮝಽǍᇥ⦹ᩡ݅. ᅙםྙᨱᕽ۵bb ᮹ᇡᰍᄥ❭ƕᔍÕᮥTable 3ŝzᯕaᱶ⦹ᩡ݅. ⍡ᯕት, ᵝ┲, ᅕv⩶, ᱲ⧊ᇡ, v⧊ᖒᅕv⩶᮹⦽ĥᔢ┽⧉ᙹၰ❭ƕ⪶ශᐱอ
ᦥܩ, ᝁᖒᨱʑⅩ⦹ᩍbᇶƕӹญ᪅᮹ၽᔾ⪶ශᮥ⠪a⦹
ʑ ᭥⧕ᕽ۵ ᖁ⧪ᱢᮝಽ b ⪶ශ ༉ᙹ᮹ ⠪ɁŖ⋎እ, ᄡ࠺ĥᙹ (Coefficient of variation) ၰᇥ⡍⩶┽᪡zᮡᇩ⪶ᝅప᮹ᱶᅕa
⦥⦹݅. ᯕ్⦽ᇩ⪶ᝅప᮹đᱶᮡŖ⦺ᱢᯙšᱱᨱᕽᇶƕӹ ญ᪅᮹ᝁᖒᮥ⠪a⦹۵ߑᨧᨕᕽ۵ᦩࡹ۵Ǎᖒᗭᯕ݅. ᱶ⪶
⦽ ᝁᖒ ⧕ᕾᮥ ᭥⧕ᕽ ⪶ශᇥ⡍ ༉ᙹ᮹ ⇵ᱶᯕ ⧊ญᱢᮝಽ
ᯕᨕᲙ⦹໑ə్ʑ ᭥⧕ᕽ۵☖ᔢᝅ⨹ᯕӹဍ౩ᯕᖹᨱ
᮹⦽ႊჶᯕᔍᬊࡽ݅. ᅙᩑǍᨱᕽ۵ᔍᰆƱᱡ⧎ၰ⦹ᵲ⬉ŝᨱ
ݡ⦽߅ᄡᙹ᮹⪶ශᇥ⡍༉ᙹ᪡ᇡᰍᄥ❭ƕᔍÕᨱݡ⦽bb᮹
⦽ĥᔢ┽ ⧉ᙹ۵ ʑ᳕ ᩑǍᨱᕽ ᱽࡽ(Yoon, J. H. and Cho, H. N., 2007) ԕᬊᮥ ௱݅.
3.4 ఼֗ාࡧଭনۇୠࡦ܄
3.4.1 է୨ࡣ
Ʊప᮹Ǎᖒᗭ᮹ݡᇡᇥᮡᯱᩑᰍ⧕ӹ∊࠭, ▭్॒᮹rᯱʑ
ၽᔾ⦹۵⦹ᵲᮥᱽ⦹Łᔢᰍ⦹⦹ᵲᨱݡ⧕ᅕᙹ, ᅕv, Ʊℕ᮹
ᮁḡᅕᙹ⧪᭥ෝ☖⧕Ŗᬊ֥ᙹᦩᨱᖒ܆ᮥ݅ၽ⭹ࡹࠥಾᖅĥࡽ
݅. ᯕ్⦽ Ʊప Ǎᖒᗭ ᵲ ᅙ םྙᨱᕽ Ʊℕ ݡᔢ ⧎༊ᮝಽ
eᵝ⦹۵ Ʊప ᇡᗮᖅྜྷᮡ ᯕ్⦽ ✚ᖒᮥ ᬒ ӹ┡ԙ݅.
Ʊప᮹Ǎ᳑ᗭaᦥܭእǍ᳑ᗭಽᕽ᮹ᇡᗮᖅྜྷᮡƱ໕⡍
ᰆ, ႑ᙹᖅ, ӽe, ᩑᕾ, ᅕࠥ, ᝁ⇶ᯕᮭๅ, Ʊ᳭ᰆ⊹, vᰍࠥᰆ
॒ᯕᯩ݅. ᯕ్⦽ᇡᗮᰆ⊹ॅᮡᮁḡᅕᙹ⧪᭥᪡ᩑš⦹ᩍᅙᩑ᮹
ԕǍᙹᮥaḡŁᯩŁ, əԕǍᙹᮡƱప᮹ᙹᨱእ⧕ƪᰆ⯩
ᱢᮝ໑, ᮁḡᅕᙹ⧪᭥ෝᔢᙹ⧪⦽݅Ł⦹ᩍࠥđᱶࡹᨕḥᙹ
ᨱၙ⊹۵ᩢ⨆ᯕⓍḡ۵ᦫ݅. đᱶᙹᮡᇡᗮᖅྜྷŖᨦℕᨱ
᮹⧕ฯᮡᩑǍaḥ⧪ࡹᨕ᪵Ł, ə్⦽đᱶᙹᮥ⩥ᝅྕᨱᕽࠥ
Łᯩ݅. ᯕᨱᅙםྙᨱᕽࠥšಉᱥྙa᮹čᯕӹᙹߑᯕ░
ෝ᳑ᔍ⦹ᩍ☖ĥᱢᇥᕾᮥᙹ⧪⦹Ł⪶ශᱢᇥ⡍᮹⩶┽ಽƱℕ᮹
ᱢᱶ đᱶᙹᮥ đᱶ⦹۵ ʑჶᮥ ᱽᦩ⦽݅.
3.5 କ࣪ଭঃւծࢫ୨߆ฃ
ᮁḡšญ݉ĥᨱᕽƱపᨱᗱᔢᯕၽᔾ⦹໕ᗱᔢ᮹ᬱᯙᄥᱢᱩ
ᨕਁ⦽Ŗჶᮥᱢᬊ⦹ᩍᨕ۱ᱶࠥ᮹⬉ŝaӹ┡ӹ۵ḡᨱݡ⦽
vŖჶᮥᖁ┾⦽݅Ñӹᦥܩ໕Ʊℕෝᝅ⦹Ñӹ⦹۵ྙᱽ۵
⬉ŝ۵⧕ݚᗱᔢᨱݡ⧕᳕ᰍ⦹۵ᩍ్Ŗჶॅᮥ☖⧊⦹ᩍ݉a
ၰ ᱶపᱢ ⬉ŝෝ đᱶ⧕ ⦽݅. ᅙ םྙᨱᕽ ᅕᙹ ၰ ᅕv᮹
ᱶపᱢ ⬉ŝ۵ ᮁḡšญ⧪᭥ šಉ ᱥྙa ᮹čᯕӹ ŝÑ ᯕಆ
ߑᯕ░ෝ☖⧕ᔑ⇽ᯕa܆⦹໑Ʊℕᨱݡ⦽⬉ŝ۵ÕᖅⅩʑᔢ┽
ಽ᮹ᅖȡෝ᮹ၙ⦹íࡽ݅. ə్ӹᗱᔢᮡ݅᧲⦽ᬱᯙᨱ᮹⧕
ၽᔾ⦹໑, ၽᔾࡽ݅᧲⦽ᗱᔢᮡᕽಽࠦพᱢᯕḡᦫḡอᅙםྙᨱ ᕽᱽᦩ⦹۵ᖅĥ݉ĥᖒ܆ᱡ⦹ʑၹLCCᇥᕾႊჶುᨱᖁᅕᙹᨱ
ݡ⦽ᖒ܆ᯙᯱಽᔢ┽⠪aෝ, ᅕvᨱݡ⦽ᖒ܆ᯙᯱಽᝁᖒḡᙹ
ෝᔍᬊ⦹ʑভྙᨱᯕॅᮥbbಽŁಅ⦽݅. ⦹ḡอƱℕ۵
əᖒ܆ᯙᯱaᨕਁ⦽äᯕeᨱᬱ௹ᔢ┽ಽ᮹ᅖȡᯕʑভྙᨱ
ᙹᯩ݅. ᅙםྙᨱᕽᅕᙹ, ᅕv, Ʊℕ᮹ᩢ⨆ᮥ݅ᮭFig. 9᪡
Ǎ᳑ྜྷ᮹ᖒ܆ᱡ⦹༉ߙŝษ₍aḡಽᝁ⧁อ⦽ᱶప⪵༉ߙᯕ
ŁಅࡹʑᨕಅᬕĞᬑᯕအಽ, Ğ⨹ᱢ☖ĥႊჶᮝಽ༉ߙᮥᱢᬊ⦽
Table 4. General Situation
Categoty Form and span construction Cover Support Expansion joint
Altenative 1
High-strength PSC beam bridge(3@40=120m) + main span 200m 3main top cable-stayed bridge(100+200+200+100=600m) + high-strength PSC beam
bridge(3@50=150m+3@40=120m) Main bridge
(LMC) Connection
bridge (SBS PMA)
Main bridge (elasticity) Connection bridge(port)
Finger joint Altenative 2 PSC box girder bridge(3@50=150m+60m) + main span 300m 2main top cable-stayed
bridge(135+300+135=570m) + PSC box girder bridge(60m+3@50=150m) Altenative 3 Steel girder (50m+2@55=110m+75m) + main span 170m 5main top cable-stayed
bridge(75m+4@170=680+75m)
Table 5. LCC Input Data
Category Measure
ratio Cycle Cost
(1,000 won) Category Measure
ratio Cycle Cost (1,000 won) Main span bridge
surface covering
Repair 33.4 6 3.827 Connection bridge support
Repair 18.3 8 219.560
Re-covering 100.0 17 26.670 Replace 100.0 22 154,368.20
Connection bridge surface covering
Repair 33.4 5 3.783 Main span bridge
expansion joint
Repair 20.2 4 398.290
Re-covering 100.0 15 27.584 Replace 100.0 9 3,904.217
Main span bridge floor deck
Repair 21.0 14 150.220 Connection bridge expansion joint
Repair 20.2 4 398.290
Reinforcement 22.3 20 249.366 Replace 100.0 9 5,529.120
Concrete connection bridge floor deck
Repair 21.0 14 150.220
Pylon Repair 24.4 8 174.870
Reinforcement 22.3 20 249.366 Reinforcement 20.6 20 174.870
Steel connection bridge floor deck
Repair 21.0 13 89.360
Cable
Repair 1.0 10 Construction Cost
Reinforcement 22.3 21 337.460 Reinforcement 8.0 15 Construction Cost
Main span bridge mold
Repair 18.4 8 124.248 Replace 100.0 75 Construction Cost
Reinforcement 21.6 12 346.000 Cable Demper Replace 100.0 10 4,000.000 Concrete connection
bridge mold
Repair 18.4 8 124.248
Substructure Repair 24.4 8 174.870
Reinforcement 21.6 12 346.000 Reinforcement 20.6 20 174.870
Steel connection bridge mold
Repair 19.8 7 49.390 Drainage system Replace 50.0 7 146.200
Re-Painting 19.1 15 151.889 Eail, Curb Replace 45.0 10 324.300
Reinforcement 100.0 12 321.456
Connection bridge
deck waterproof Repair 25.0 12 70.260
Main span bridge support
Repair 18.3 8 219.560
Replace 100.0 22 14,990.072
ᯝᮝ┅۵᮹ၙಽ⧕ᕾ⧁ᙹᯩᮝ໑, ᖒ܆ᱡ⦹༉ߙŝzᯕᩑᗮḡᙹ
⩶┽ᯙᔢ┽ḡᙹ᮹ᖒ܆⨆ᔢᮉಽ⢽⩥ࢁᙹᯩ݅. ᅕ☖ᮁḡšญ݉
ᔢ┽ḡᙹ᮹qᗭෝḡᩑ┅۵⧪᭥ᯙḡǍᇥࡹᨕ⦽݅. ⦹ḡอ
ᖅĥ݉ĥLCCᇥᕾᨱᖁ↽ᱢƱప⩶ྙᱽෝ݅ʑভྙᨱᮁḡ
v⬉ŝෝݡᦩᄥಽ࠺ᯝ⦹íᱢᬊ⦹۵äᯕᵲ⦹݅. ੱ⦽ᯝၹᱢ
ಽಽŁಅ⦹ḡᦫŁᄡᔢᨱݡ⧕ᱢᬊࡹ໑, ᮁḡšญ݉ĥLCC᪡
zᯕᇡᰍ᮹ᰍഭᱢ✚ᖒᯕᄡĞƱℕࡹ۵Ğᬑ۵Łಅ⦹ḡᦫ۵݅.
4. ᱢᬊᔍಡ᮹ᇥᕾၰŁₑ
4.1 ׆LCCंজࢺ࣑
ᅙםྙᨱᕽᱽᦩࡽᖒ܆ᱡ⦹ʑၹᖅĥ݉ĥLCCᇥᕾႊჶ᮹
ᱢᬊᖒၰ⧊ญᖒᮥ❱݉⦹ʑ᭥⧕ŁᗮࠥಽᔢƱపÕᖅᔍᨦᮥ
ᩩಽʑ᳕LCCᇥᕾႊჶŝእƱᇥᕾᮥᝅ⦹ᩡ݅. bݡᦩᮡ
Łᗮࠥಽᔢᨱ᭥⊹⦹۵Ʊపᮝಽ₉ᖁᙹ۵᪶ᅖ4₉ᖁ, ⅾʙᯕ۵
990m, ĞeǍᖒၰᯝၹ⩥⫊ᮡᦥ௹Table 4᪡z݅. ᅙᱢᬊ
Table 6. Data of Past Records
Form Term Component Item Maintenance Damage Factor Alterations Grade Treatment measure PSC box 6 Substructure Abutment Repair Deterioration Joint damage C Mortar injection PSC box 10 Substructure Abutment Repair Run-off inflow Efflorescence C Surface repair PSC box 22 Substructure Abutment Repair During use damage Stone wall damage C Section repair
Steel 5 Accessory structures Support Replacement Vibration(live load) Crack C Mortar replacement Steel 10 Substructure Abutment Repair Temper. and dry shrinkage Crack C Injection repair Steel 10 Superstructure Girder Repair Environmental factor Painting damage C Steel painting Steel 10 Superstructure Girder Replacement Vibration Rivet loosing C Bolt replacement Steel 10 Accessory structures Support Repair Degradation of paint film Painting detachment C Re-painting PSC box 12 Accessory structures Support Replacement Vibration(live load) Crack C Replacement PSC beam 15 Substructure Abutment Repair Deterioration Exfoliation C Section repair PSC beam 15 Substructure Pier Repair Run-offin flow, freezing
and thawing Reticulate crack C Surface repair
PSC beam 18 Substructure Pier Repair Dry shrinkage Crack C Injection repair
ᔍಡ۵ᝁᖒ⧕ᕾʑၹᖒ܆ᱡ⦹༉ߙᮥ☁ݡಽᇥᕾࡽLCC᪡
ʑ᳕LCCᇥᕾ᮹ᮁḡšญእᬊ₉ᯕෝá☁⦹۵äᮝಽእᬊᇥඹ ℕĥၰእᬊᱶ⪵۵ʑ᳕LCCᇥᕾʑჶᮥᱢᬊ⦹ᩡ݅. LCCᇥᕾ
ᮥ᭥⦽ᇥᕾʑeᮡ100֥, ⧁ᯙᮉᮡ3.5%, ᔍᬊᯱእᬊᔑ⇽ᮥ
᭥⦽Ʊ☖᳑Õᮝಽᱶᔢᗮࠥ۵100km, ḡℕᗮࠥ۵20km, ᯝᯝƱ
☖పᮡ25,000ݡෝʑᵡᮝಽaᱶ⦹ᩡ݅. ᅙםྙ᮹ᇥᕾᮡᔢᇡ,
⦹ᇡǍ᳑ෝݡᔢᮝಽ⦹ᩡᮝ໑ⅩʑÕᖅእᬊᮡᖅĥᯱaᱽ⦽
እᬊ, ᮁḡᅕᙹእᬊᔑ⇽ᮥ᭥⦽ᵝʑ, ݉a, ᳑⊹ᮉᮡ⦽ǎࠥಽŖ ᔍ(2003) ᩑǍෝၵ┶ᮝಽLCCᇥᕾᮥᝅ⦹ᩡ݅. ᇥᕾᮥ᭥⦽
bb᮹እᬊᯱഭ۵ྜྷaᔢශᮥŁಅ⦹ᩍ࠺ᯝᱱᮝಽᄡ⪹⦹
ᩍᔍᬊ⦹ᩡ݅. ݅ᮭbƱప⩶ᄥLCCෝᔑᱶ⦹ʑ᭥⦽᯦ಆߑᯕ
░ෝ Table 5ᨱ ӹ┡ԕᨩ݅.
4.2 নۇୠ׆ొLCCंজࢺ࣑
4.2.1 ंজୣఙ
ᦿᕽᇥᕾࡽʑ᳕ᖅĥ݉ĥLCCᇥᕾᨱၹ⦹ᩍᯕჩᨱ۵ᅙ
םྙᨱᕽᱽᦩ⦹۵ᖒ܆ᱡ⦹ᨱʑⅩ⦽ᖅĥ݉ĥLCCᇥᕾʑჶᮥ
ᯕᬊ⦹ᩍ࠺ᯝ⦽᳑Õᨱݡ⦽LCCᇥᕾᮥᝅ⦹ᩡ݅. ʑ᳕LCC᪡
ᅙםྙ᮹LCCᇥᕾႊჶ᮹₉ᯕ۵ᅕᙹ, ᅕv⧎༊᮹ᖒ܆ᱡ⦹༉ߙ
ᮥ☖⧕⧊ญᱢᯙᮁḡšญእᬊ᮹ᔑ⇽ᨱᯩ݅. እƱᇥᕾ᮹⬉ᮉᖒ
ᮥɚݡ⪵⦹ʑ᭥⧕ʑ᳕ᖅĥ݉ĥLCC ʑჶᮝಽᇥᕾࡽⅾLCC ᵲᮁḡᅕᙹእᬊŝʑݡᅖǍእᬊᮥᱽ⦽ӹນḡእᬊᮡLCCᇥ ᕾʑჶᨱ࠺ᯝ⦹íᱢᬊ⦹ᩡ݅. ᅙםྙᨱᕽᱽᦩ⦹۵ᔾᧁ᭥⨹ࠥ
ᇥᕾŝᔾᧁᵝʑᖒ܆ᱡ⦹༉ߙᮥᔑᱶ⦹ʑ᭥⧕ᕽ۵݅ᮭŝzᮡ
ᇥᕾ ŝᱶᮥ Ñ⊽݅.
1. FMSߑᯕ░᪡ᱶၡᦩᱥḥ॒݉᮹ŝÑᯕಆߑᯕ░ෝ☖⧕ᝁ
ᖒḡᙹ qᗭᮉᮥ ᭥⦽ ᱡ⧎ ᯱഭ᪡ ᔢ┽ḡᙹ qᗭᮉᮥ ᭥⦽
ᔢ┽⠪a ᯕಆᯱഭෝ ᔑ⇽
2. ᱥྙa ᖅྙ᳑ᔍ ၰ ❱݉ᮥ ☁ݡಽ ᇡ᳒⦽ ᱶᅕෝ ᅕ∊
3. ᔑ⇽ࡽߑᯕ░ෝ☖⧕ᅕᙹ, ᅕv᮹ᖒ܆ᱡ⦹ᨱݡ⦽ᱢ⧊ᮥ
ᔑᱶ
- ᅕᙹ : ᔢ┽⠪a ᯕಆᯱഭಽᇡ░ ᔢ┽ḡᙹ ᄡ⪵ᮉᮥ ᔑᱶ - ᅕv : ᱡ⧎ᯱഭಽᇡ░ᱡ⧎ᄡ⪵ᮉᮥᔑᱶ⦹Ł, ⦽ĥᔢ┽ႊ
ᱶᮥ ☖⧕ ᝁᖒ⧕ᕾ(ᝁᖒḡᙹ ᄡ⪵ᮉ ᔑᱶ) 4. Ʊℕᵝʑෝ ᭥⦽ đᱶᙹᮥ šಉ ᯱഭಽᇡ░ đᱶ
ᱥྙa ❱݉ ၰ ŝÑ ᯕಆᯱഭෝ ☖⧕ ᱶపᱢ ⬉ŝෝ aᱶ 6. ݡᦩᄥᮁḡᅕᙹእᬊᔑ⇽⬥ʑ᳕ᇥᕾႊჶŝᅙםྙᨱᕽ
ᱽᦩ⦹۵ ᖒ܆ᱡ⦹ʑၹ LCCᇥᕾ ႊჶ እƱ
4.2.2 নۇୠࡦ܄
ᖒ܆ᱡ⦹༉ߙʑၹᮁḡᅕᙹእᬊᮥᔑᱶ⦹ʑ᭥⧕ᕽ۵ᬑᖁᱢ ᮝಽᖒ܆ᱡ⦹༉ߙݡᔢǍᖒᗭෝᱶ᮹⧕⦽݅. bb᮹Ǎᖒ
ᗭ۵ᦿᕽʑ᳕LCCᇥᕾႊჶᨱᕽŁಅ⦹ᩡᅕᙹ, ᅕv⧎༊ᨱ
ݡ⦹ᩍᖒ܆ᱡ⦹༉ߙᮥđᱶ⦹ᩡ݅. ੱ⦽Ʊℕ⧎༊ᮡđᱶᙹᨱ
ݡ⦽Ʊℕᵝʑෝđᱶ⦹ᩡ݅. ᅕᙹᨱݡ⦽ᖒ܆ᱡ⦹༉ߙ, ᅕvᨱ
ᮡFMSߑᯕ░᪡ᱶၡᦩᱥḥ݉ᅕŁᕽ, ᱥྙaᖅྙ᳑ᔍၰ❱݉ᨱ
᮹⧕đᱶࡹᨩ݅. 1, 2᳦ᖅྜྷᨱݡ⦹ᩍ1987֥Ʊప᮹ᖒ܆(ᔢ
┽) ᯕಆ᮹ᄡ⪵ෝᙹᯩ۵ᯱഭ۵⩥ᱱᨱᕽᵡŖ⬥10֥ᯕ
Ğŝ⦽1, 2᳦ᖅྜྷᨱݡ⧕ๅ5֥ษ݅ᙹ⧪ࡹ۵ᱶၡᦩᱥḥ݉ᅕ Łᕽ᪡FMS ᐱᯕӹ, ᱶၡᦩᱥḥ݉ᅕŁᕽ۵ᯱഭ᮹ᇥᝅ॒šญᔢ ᮹ ྙᱽಽ ʑ᳕ᨱ ᙹ⧪ࡽ ༉ु ᱶၡᦩᱥḥ݉ ᅕŁᕽෝ ᙹḲ⧁
ᙹ ᨧᮝ໑ b šญᵝℕa ʑಾ⦹Ł ᯩ۵ Ʊప⋕ऽᨱ۵ Ʊప᮹
Fig. 10. Condition Index Performance Degradation Models ᔢ┽aʑಾࡽäᯕᦥܩƱపᅕᙹ⩥⫊อʑಾࡹᨕᯩᮝအಽ
ᯕॅ᮹ʑಾᮥ᳦⧊⦹ᩍƱప᮹ᔢ┽ᯕಆᮥá☁⦹۵äᯕ⦥⧁
äᮝಽ❱݉ࡽ݅. ᅙםྙᨱᕽݡᔢᮝಽ⦹۵ᔍᰆƱ۵ᱶၡᦩᱥḥ
݉đŝӹFMSᯱഭaๅᬑᇡ᳒⦽⩥ᝅᯕအಽᔍᰆƱᖒ܆ᱡ⦹༉
ߙ⇵ᱶᮥ᭥⧕┡⩶Ʊప᮹Ñ, ⦹ᇡǍ᳑, ᇡᗮᖅ॒ᮁᔍ⦽
Ǎ᳑⧎༊ᮥᯙᬊ⦹ʑ᭥⧕ߑᯕ░᳑ᔍෝᝅ⦹ᩡ݅. ᱶၡᦩᱥḥ
݉ᅕŁᕽ᪡ᖅᦩᱥʑᚁŖ݉FMSᜅ▽ᮝಽᇡ░Ʊప᮹ᮁḡš ญᯕಆߑᯕ░ෝᙹḲ⦹ᩍᯕෝ☖⧕Ʊప᮹ᱥℕᔢ┽॒ɪ᮹ᄡ⪵
⇵ᯕෝ᳑ᔍ⦹ᩡ݅. ᯕ౨íᱶญࡽߑᯕ░۵ᱥྙaᖅྙ᳑ᔍđŝ
᪡⧉̹ᖒ܆ᱡ⦹༉ߙ⇵ᖙᮥʑ᭥⧕ᔍᔢࡹ۵ߑᯕ░ಽᔍᬊ
ࡽ݅. ŝÑᯕಆߑᯕ░ᱶญ᮹ᩩ۵݅ᮭTable 6ᨱӹ┡ԕᨩ݅.
ᖒ܆ᱡ⦹༉ߙ }ၽᮥ ᭥⧕ᕽ۵ ǎԕ᮹ ᔍᰆƱ ߑᯕ░ᄁᯕᜅ
Ǎ⇶ ʑeᯕ ṈŁ, ᙹḲࡽ ߑᯕ░᮹ ᱶࠥa ԏᦥ ᔾᧁᵝʑእᬊ
ᇥᕾᮥ᭥⧕⦥⦽ᯱഭෝ⧊ญᱢᮝಽ⫮ा⦹۵ߑᨕಅᬡᯕᯩ݅.
ᕽǎԕᮁᔍLCCᩑǍᨱᕽ۵ᯝᱶ⦽sᮥaᱶ⦹Ñӹᖅྙ᳑
ᔍෝ☖⧕ߑᯕ░ෝ⫮ा⦹Łᯩ݅(Korea Infrastructure Safety Corporation, 2003). ᱥྙaᖅྙ᳑ᔍᔍᱥᨱᖅྙḡෝᵡእ⦹Ł
əᖅྙᨱݡ⦽⫭ݖႊᮥ☖⧕ᕽ⫭ݖᯱ᮹᮹čᮥŁᯱ⦹۵
ߑᯕ░ᙹḲႊჶᮥั⦽݅. ᖁ⩶ႊᱶᮥʑᅙaᱶᮝಽᔍᬊ⦹ᩍ
ᅕᙹ⧎༊᮹ᖒ܆ᱡ⦹༉ߙ, ᅕv⧎༊᮹ᱡ⧎ᄡ⪵ᮉ, Ʊℕ⧎༊᮹
đᱶᙹᮥđᱶ⦹ʑ᭥⦹ᩍᦥ௹᪡zᯕᖅྙ᳑ᔍෝᝅ⦹ᩡŁ
ᯕෝၵ┶ᮝಽbb᮹ᖒ܆ᱡ⦹༉ߙᮥđᱶ⦹ᩡ݅. ᖅྙ᳑ᔍݡᔢ
ᮡᔍᰆƱšಉᖅĥ, Ŗ, ᮁḡᅕᙹ, ᱱá, šญᨦྕෝݕݚ⦹۵
ʑᚁᯱಽ⦹ᩡᮝ໑, ᖅྙ᳑ᔍđŝෝšಉᨦྕĞಆᄥಽǍᇥ⦹ᩍ
ߑᯕ░᮹ ᝁࠥ᮹ aᵲ⊹ෝ đᱶ⦹ᩡ݅.
[ ᔍᰆƱ᮹ ⍡ᯕት ᮁḡšญෝ ᭥⦽ ḩྙ]
ⲻ ᔍᰆƱ ⍡ᯕትᨱ ၽᔾ⦹۵ ᄡᔢᨱ۵ ᨕਅ äᯕ ᯩܩʭ.
ᯱᵝ ၽᔾࡹ۵ ᙽᕽݡಽ ᱢᨕ ᵝʑ ၵ௮ܩ݅.
( ) ݱ⟝ᇡ ᄡ⩶ ၰ Łྕ❱᮹ ᯕ┩
( ) ⍡ᯕት ᩑđᇡ Ɂᩕ
( ) vᰍ ၰ ᬊᱲᇡ Ɂᩕ, ❭݉ ၰ ❭ᗱ, ᇡ
( ) Sealing ┩
( ) ᅝ✙᮹ ᯕ᪥ ၰ ❭݉, ❭ᗱ ( ) ࠥɩ᮹ Ɂᩕ, ᇡ, ᪢ᜅ ٥⇽
( ) ʑ┡
1. ᦥ௹ᩕ⪵⩥ᔢᵲǍ᳑ྜྷ᮹ᖒ܆ᨱⓍíᩢ⨆ᮥၙ⊹ḡᦫ۵
ᅕᙹ ᙹᵡ᮹ ᄡᔢᮥ ℕⓍ⧕ ᵝᝎ᪅.
( ) ݱ⟝ᇡ ᄡ⩶ ၰ Łྕ❱᮹ ᯕ┩
( ) ⍡ᯕት ᩑđᇡ Ɂᩕ
( ) vᰍ ၰ ᬊᱲᇡ Ɂᩕ, ❭݉ ၰ ❭ᗱ, ᇡ
( ) Sealing ┩
( ) ᅝ✙᮹ ᯕ᪥ ၰ ❭݉, ❭ᗱ
( ) ࠥɩ᮹ Ɂᩕ, ᇡ, ᪢ᜅ ٥⇽
( ) ʑ┡
2. 1 ჩḩྙ᮹ᔍᰆƱ⍡ᯕት᮹ᅕᙹ᮹ᄡᔢᯙᵲᩕ⪵ᱶࠥa
ᨕ۱ ᙹᵡ ᯝ ভ ᮁḡᅕᙹෝ ᝅ⦹۵a?
ⴗ ๅᬑ ᝍ⦹݅ (ᅕᙹ ᳑⊹ᮉ 30~50%) ⴘ ᝍ⦹݅ (ᅕᙹ ᳑⊹ᮉ 20~30%) ⴙ ᅕ☖ᯕ݅ (ᅕᙹ ᳑⊹ᮉ 10~20%) ⴚ ᧞e ၽᔾ⧩݅ (ᅕᙹ ᳑⊹ᮉ 10% ၙอ) ⴛ ၽᔾ⦹ḡ ᦫᦹ݅
3. ᔍᰆƱ ⍡ᯕትᨱᕽ ᅕᙹa ⦥⦽ ၽᔾ ᵝʑ۵?
֥ᙹ | ʑ┡
0 10 20 30 40 50 ( ) ֥
4. ᔍᰆƱ⍡ᯕትᨱᕽᅕᙹᨱᗭࡹ۵እᬊ᮹Ƚ༉۵ᨕ۱ᱶࠥ
᯦ܩʭ?
( ) [ⅩʑŖᔍእ ᮉ(%), ݉᭥እᬊ(ᬱ/m, ᬱ/m
2, ᬱ/EA ॒),
ݱ⟝ᅕᙹ }ఖእᬊ ( )ᬱ ॒]
< ᯕ⦹ ᔾఖ>
ᯕđŝᅕᙹ⧎༊᮹ᔢ┽ᄡ⪵ᨱෙʑ᮹ᔍᔢᯱഭ(ᔢ┽,
ʑ)᪡ᅕv⧎༊᮹ᱡ⧎qᗭᨱෙʑ᮹ᔍᔢᯱഭ(Ⅹʑᝁᖒ
⧕ᕾ× ᱡ⧎qᗭᮉ, ʑ)۵ŝÑᯕಆߑᯕ░ၰᱥྙa❱݉ᯱഭෝ
ၵ┶ᮝಽbsᮥᔑᱶ⧁ᙹᯩŁ, ᯕෝ☖⧕⇵ᖙᮥđᱶ⦹Ł
ᯕෝ ☖⧕ ᖁ⩶ႊᱶᮥ ᖙᬙ ᙹ ᯩ݅.
ຝᱡ, ᅕᙹ⧎༊᮹ᮁḡšญᵝʑෝ᭥⦽ᔢ┽ḡᙹ᮹ᖒ܆ᱡ⦹༉
ߙᮡ Fig. 10ᨱ ᅕᙹᨱ ݡ⦽ ᖁ⩶ႊᱶ᮹ ᩩෝ ӹ┡ԕᨩᮝ໑, Ǎᖒᗭᄥbb᮹đŝ۵Table 7ᨱӹ┡ԕᨩ݅. ᩍʑᕽ, Ɩ sᮡ
Ŗᬊ֥ᙹෝ ӹ┡ԕ໑ Ɨ sᮡ ᔢ┽ḡᙹෝ ӹ┡ԙ݅.
݅ᮭᮝಽᅕv⧎༊᮹Ǎᖒᗭᄥᝁᖒḡᙹᨱݡ⦽ᖒ܆ᱡ⦹
༉ߙᮥđᱶ⦹ʑ᭥⧕ᅕv⧎༊᮹Ǎ᳑ᗭᨱݡ⦽⦽ĥᔢ┽ႊᱶ
Table 7. Condition Index Performance Degradation Models
Component Linear Equation R
2Performance
Improvement Rate Improvement Index
Fig. 11. Reliability Index Performance Degradation Models
Table 8. Reliability Index Performance Degradation Models
Component Linear
equation R
2Performance Improve- ment Rate
Improve- ment Index Main span floor
Connection
