Received March 22, 2013/ revised May 8, 2013/ accepted June 26, 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͵͵ǤͷǤͳͷ͵
Ǥ ǤǤ
㬲♿ጎᶇ⮎#ᢾ㬚#⛞⇓㍧ᦊ#Ⳃ㮖ᦂ#㦇ᆾ#⇍#↺ᇎᦂ#⍂⛛
ࢼֱȵଲনߦ
Bae, Yong Gwi*, Lee, Seong Lo**
Ship Collision Risk Assessment and Sensitivity Analysis for Sea-crossing Bridges
ABSTRACT
In the design phase of sea-crossing bridge projects, ship collision problem is mostly participated in decision of substructure section and it would be performed by risk assessment and impact simulations. Ship collision risk is assessed by probability model which is similar to method Gof Guide Specification and Commentary for Vessel Collision Design of Highway Bridge(AASHTO, 2009). However, several factors used in the applicable code are limited to inland waterways or have many local characteristics. Accordingly, it should be needed judgement of engineer or referred to related criteria, research finding. In this study risk assessment for In-cheon bridge and review of existing substructure's impact risk and resistance capacity are performed using the 2010's ship passage data. And then consideration regarding to presumption and applied instance of factors needed for risk assessment and related research findings are performed on the basis of AASHTO Guide‘s Method. As a result of study, adequate variable region of factors needed for risk assessment is defined and sensitivity analysis for appropriate region is performed. Consequently, factors that should be applied carefully or needed for direct analysis of local data are confirmed. This research could be fundamental material to risk assessment related to design for sea-crossing bridge taken into account ship collision.
Key words : Ship collision, Design phase, Risk assessment, Sensitivity analysis
Ⅹಾ
ᅙ⧕ᔢƱప⥥ಽ᱾✙᮹ᖅĥ݉ĥᨱᕽᖁၶ∊࠭ྙᱽ۵ᵝಽƱప⦹ᇡǍ᳑᮹݉໕đᱶᨱšᩍ⦹íࡹ໑, ᭥⨹ࠥ⠪a᪡∊࠭ဍ౩ᯕᖹ॒ᮥ
☖⧕ᖅĥෝᙹ⧪⦹íࡽ݅. ᖁၶ᮹∊࠭᭥⨹ᮡ݅᧲⦽⪶ශ༉ߙᨱ᮹⧕⠪aࡹ໑ݡℕಽAASHTO Guide(2009)᮹Method᪡ᮁᔍ⦹݅.
ə్ӹ⧕ݚʑᵡᨱᕽᔍᬊࡹ۵ᯝᇡᗭ۵ԕයᙹಽᨱǎ⦽ࡹᨕᯩÑӹḡᩎᱢᯙᯙᯕv⦹ᩍᖅĥᯱ᮹❱݉ᯕǍࡹအಽšಉʑᵡᯕӹ
ᩑǍđŝ॒ᮥₙŁ⦹ᩍđᱶ⧕⦽݅. ᅙᩑǍᨱᕽ۵2010֥ᖁၶᬕ⧎ߑᯕ░ෝᔍᬊ⦹ᩍᯙݡƱᨱݡ⦽᭥⨹ࠥ⠪aෝᙹ⧪⦹Łʑ᳕⦹ᇡ Ǎ᳑ၰႊ⪙Ǎ᳑ྜྷᨱݡ⦽᭥⨹ࠥၰԕ∊࠭ᖒ܆ᮥá☁⦹ᩡ݅. əญŁAASHTO Guide᮹Methodෝʑᵡᮝಽ⦹ᩍ᭥⨹ࠥ⠪aᨱ⦥
⦽ᗭॅ᮹⇵ᱶႊჶŝᱢᬊᔍಡ, šಉᩑǍđŝᨱݡ⦽Łₑᮥᙹ⧪⦹ᩡ݅. ᯕಽᇡ░᭥⨹ࠥ⠪aᨱ⦥⦽ᗭॅ᮹ᱢᱩ⦽aᄡᩢᩎᮥᱶ ᮹⦹Ł⧕ݚǍeᨱݡ⦽ၝqࠥᇥᕾᮥᙹ⧪⦹ᩡᮝ໑ᖅĥ݉ĥᨱᕽᖅĥᯱaᵝ᮹⦹ᩍᱢᬊ⧕⦹Ñӹḡᩎᱢᯙߑᯕ░᮹Ḣᱲᇥᕾᯕ⦥
⦽ᗭॅᯕ⪶ᯙࡹᨩ݅. ᯕჩᩑǍ۵⧕ᔢƱపᨱݡ⦽ᖁၶ∊࠭ᮥŁಅ⦽ᖅĥ᭥⨹ࠥᇥᕾŝšಉ⦹ᩍʑᅙᱢᯙₙŁᯱഭaࢁäᮝಽ❱݉
ࡽ݅.
áᔪᨕ ᖁၶ∊࠭, ᖅĥ݉ĥ, ᭥⨹ࠥ⠪a, ၝqࠥᇥᕾ
ĵܓėॡ
1. ᕽು
⧕ᔢƱపᖅĥƱపǍ᳑ྜྷᨱݡ⦽ᖁၶ᮹∊࠭ྙᱽ۵ḡḥ, ၵ௭॒ŝᇩᨕǍ᳑ྜྷ᮹݉໕ᮥđᱶḴ۵ๅᬑᵲ⦽ᗭᯕ݅.
ǎԕᨱᕽ۵ᖁၶ∊࠭ŝšಉ⦹ᩍ⧕᮹ᖅĥʑᵡᯕӹʑᚁᨱ᮹
᳕⦹۵ Ğᬑa ฯᦹᮝӹ ↽ɝᨱ۵ šಉ ᩑǍ(႑ᬊȡ ॒, 2008;
ᯕĥ⯍॒, 2011; ᯕᖒಽ॒, 2006a; ᯕᖒಽ॒, 2006b; ᳑⪙⩥, 2009)aฯᯕḥ⧪ࡹᨩᮝ໑, ⧕ᔢƱపÕᖅᯕ⪽ၽ⧕ḡ໕ᕽᖅĥ
⧕ݚ ᩑǍđŝॅᯕ ᱢᬊࡽ ᔍಡࠥ ۹ᨕӹŁ ᯩ݅.
ᖁၶ∊࠭ྙᱽ۵⧕ᔢƱప᮹ĥ⫮, ᖅĥၰᮁḡšญ॒᮹b
݉ĥᨱᕽ༉ࢱᵲ⦹í݅ᨕᲙ⦹۵ᗭᯕ݅. ᖅĥ݉ĥᨱᕽ ۵ᵝಽƱప⦹ᇡǍ᳑᮹݉໕đᱶᨱšᩍ⦹íࡹ໑, ᭥⨹ࠥ⠪a᪡
∊࠭ဍ౩ᯕᖹ॒ᮥ☖⧕ᖅĥෝᙹ⧪⦹íࡽ݅. ʑ᳕᮹ǎԕ
ᖅĥʑᵡᨱ۵ᖁၶ∊࠭ᨱݡ⦹ᩍᔢᖙ⦹íȽᱶ⦹ḡᦫᦹᮝӹ↽
ɝࠥಽƱᖅĥʑᵡᨱᕽ⦽ĥᔢ┽ᖅĥჶ(2012)ᮥ₥┾⦹໕ᕽᖁၶ
∊࠭⦹ᵲᨱݡ⦽ᔢᖙ⦽Ƚᱶᯕᱽࡹᨩ݅. ⦽ĥᔢ┽ᖅĥჶᨱᕽ ۵Guide Specification and Commentary for Vessel Collision Design of Highway Bridge(2009, ᯕ⦹ AASHTO Guide)᮹
ᖙaḡᖅĥႊჶᵲᨱᕽMethodⳒ, ᭥⨹ࠥ⠪aᨱ᮹⦽ᖅĥႊჶ
ᮥ₥┾⦹Łᯩ۵ߑ, ↽ɝǎԕᨱᕽᖅĥࡽ⧕ᔢƱపॅᮡ᭥⨹ࠥ
⠪aෝ☖⦹ᩍᖁၶ∊࠭ᨱ ݡ⦽ᖅĥ⦹ᵲᮥᔑᱶ⦹ÑӹƱప᮹
ᦩᱥᖒ ⠪a᮹ ༊ᱢᮝಽ ᙹ⧪ࡽ ᔍಡa እƱᱢ ฯᮡ ⠙ᯕ݅.
Method Ⳓᨱ᮹⦽᭥⨹ࠥ⠪aႊჶᮡ⪶ශʑၹ⧕ᕾᮥ☖⦹ᩍ
ᖁၶ᮹⩶┽, Ⓧʑ, ၰ⦹ᵲ᳑Õᨱ᮹⧕ᇥඹࡽᙹಽෝᯕᬊ⦹۵
ᩑeᖁၶ᮹ᙹ, ᖁၶ᮹⧎ಽᯕ┩⪶ශ, ⧎ಽෝᯕ┩⦽ᖁၶᯕƱbᯕ ӹᔢ❱ŝ∊࠭⧁ʑ⦹⦺ᱢ⪶ශ, ⧎ಽෝᯕ┩⦽ᖁၶŝ∊࠭⧁
ভƱపᯕ❭ƕࢁ⪶ශᮥŁಅ⧉ᮝಽ៉Ʊప᮹ᖁၶ∊࠭᭥⨹ࠥෝ
⠪a⦹Ł᭥⨹ࠥ⠪ađŝಽᇡ░ᖅĥᖁၶᮥ⧊ญᱢᮝಽᔑᱶ⧁
ᙹᯩ۵ႊჶᯕ݅(ᯕᖒಽ॒, 2006a). ə్ӹAASHTO Guideᨱᕽ
ᔍᬊࡹ۵ᖅĥᗭ᮹ᯝᇡ۵ɝᔍᱢ⇵ᱶႊჶᯕÑӹԕයᙹಽa
ၽݍ⦽ၙǎԕ᮹ ☖ĥᯱഭಽᇡ░⇵ᱶࡽäᯕအಽ⧕ᔢƱపᯕ
ݡᇡᇥᯙǎԕ᮹ᔢ⫊ᮥŁಅ⦹ʑ᭥⧕ᕽ۵ᖙĥᱢᯙ⧕ᔢƱప᮹
ᖅĥᔍಡӹ⧕ᔢᨱᱢᬊࡽ݅ෙᩑǍđŝᨱݡ⦽ᱢɚᱢᯙᇥᕾŝ
á☁a ⦥⦹݅.
ᅙᩑǍᨱᕽ۵AASHTO Guide᮹MethodⳒෝʑᵡᮝಽ⦹ᩍ
ᯙݡƱᨱݡ⦽ᖁၶ∊࠭᭥⨹ࠥ⠪aෝᙹ⧪⦹ᩡᮝ໑ᯕෝʑᵡ ᮝಽ⦹ᩍ᭥⨹ࠥ⠪aᗭॅᨱݡ⦽ၝqࠥᇥᕾᮥᙹ⧪⦹ᩡ݅.
םྙᨱᕽ۵ᯙݡƱᖅĥᅕŁᕽၰǍ᳑ĥᔑᕽᔢᨱᙹಾࡽᖅĥ
ᗭෝ↽ݡ⦽ᔍᬊ⦹ᩡᮝӹᱶᅕaᱽ⦽ᱢᯕÑӹၝqࠥᇥᕾᮥ
᭥⦹ᩍᇩa⦝⦹íᄡĞ⧕⦹۵ᖅĥᗭ۵ʑᵡᨱᕽᱽࡹÑ ӹŖ⦺ᱢᮝಽ┡ݚ⦽ᱲɝႊჶᮥ᯦ࠥ⦹ᩡ݅. ᖅĥᗭ᮹ၝqࠥ
ᇥᕾᮥ᭥⦽aᄡᩢᩎᮡAASHTO Guideෝእ⦽šಉᖅĥʑᵡ
ၰᩑǍđŝॅ᮹⇵ᱶႊჶŝᱢᬊᔍಡᨱɝÑ⦹ᩍᱶ᮹ࡹᨩᮝ໑, ᯕಽᇡ░ᖅĥ݉ĥᨱᕽᵝ᮹⦹ᩍᱢᬊ⧕⦹Ñӹḡᩎᱢᯙߑᯕ
░᮹ Ḣᱲ ᇥᕾ ॒ᯕ ⦥⦽ ᗭॅᮥ ⪶ᯙ⦹ᩡ݅.
2. ᭥⨹ࠥ⠪a
2.1 AASHTO Guide Method ɇ
ᯝၹᱢᮝಽᖁၶ᮹∊Ċᨱ᮹⧕ၽᔾ⦹۵↽ᦦ᮹Ğᬑᨱݡ⦽
⦹ᵲᮥḡ╒⧁ᙹᯩ۵ƱపǍ᳑ྜྷᮥᖅĥ⦹۵äᮡᇩa܆⦹݅.
ə్ӹᖁၶ᮹∊Ċᨱ᮹⧕ƱపǍ᳑ྜྷᨱ᯲ᬊ⦹۵ᇡa⦹ᵲ᮹
ኩࠥෝ⇵ᱶ⦹۵äᮡa܆⦹໑, ᇡa⦹ᵲ᮹ኩࠥෝŁᯩᮝ໕
ᨕਅᙹᬊʑᵡᮥอ᳒⦹۵ᖅĥෝᖁ┾⧁ᙹᯩ݅(Larsen, 1993).
AASHTO Guide(2009) ᨱᕽ۵ᖅĥᖁၶᮥđᱶ⦹ʑ᭥⦽Method ⳑ, Ⳓ, ⳓ᮹ᖙaḡႊჶᮥᱽŖ⦹Łᯩᮝ໑✚⯩, MethodⳒ۵
ᖁၶ᮹ᩑe☖⧪ప, ⧎ಽᯕ┩⪶ශ, ʑ⦹⦺ᱢ⪶ශ, ❭ƕ⪶ශ, ႊ⪙
ĥᙹᨱ᮹⧕ᩑe❭ƕኩࠥ(AF)ෝᔑᱶ⦹ᩍƱప᮹ᵲࠥᨱෙ
⨩ᬊʑᵡᯕԕaࡹࠥಾᖅĥᖁၶᮥᔑᱶ⦹۵ႊჶᯕ݅. ʑᵡᨱᕽ
AF᮹⨩ᬊʑᵡᮡᵲƱపᨱᕽ0.0001, ᯝၹƱపᨱᕽ0.001 ᯕ⦹
aࡹࠥಾ Ƚᱶ⦹Ł ᯩ݅. Ʊప᮹ AF۵ ݅ᮭŝzᯕ ĥᔑࡹ໑, ᱥℕ Ʊపᨱ ݡ⦽ AF۵ ༉ु ᇡᰍ᮹ AFෝ ⧊⦹ᩍ Ǎ⦽݅.
AF=(N)(PA)(PG)(PC)(PF) (1)
ᩍʑᕽ, N : ᙹಽෝᯕᬊ⦹۵ᩑeᖁၶ᮹ᙹ(Vessel frequency) PA : ⧎ಽᯕ┩⪶ශ(Probability of aberrancy) PG : ʑ⦹⦺ᱢ ⪶ශ(Geometric probability) PC : ❭ƕ⪶ශ(Probability of collapse) PF : ႊ⪙ ĥᙹ(Protection factor)
2.2 ֗߆୪
ᯙݡƱ۵ᯙǎᱽŖ⧎ŝᘂࠥǎᱽࠥෝᩑđ⦹۵ၝe⚍ᯱ
ᔍᨦᮝಽᵝĞeƱᯙᔍᰆƱ۵ᙹ₉ಡ᮹ᖁၶ⧎⧪ဍ౩ᯕᖹᮥ
ÑℱFig. 1ŝzᯕᵝĞeᰆ800m᮹ᵲeƱbᮥ⡍⧉⦽5Ğe
ᩑᗮᔍᰆƱಽđᱶࡹᨩ݅. ᵝ┲ᮡ230m ׳ᯕ᮹ᩎY⩶⎹Ⓧญ✙
ᵝ┲ᯕᱢᬊࡹᨩᮝ໑ʑⅩ۵⩥ᰆ┡ᖅั૾ᨱ᮹⦽݅ᵝʑⅩಽ
ḢĞ3.0m᮹ั૾24}ಽǍᖒࡹᨕᯩ݅. ᖁၶ☖ŝǍeᮡ⧎ಽ⡎
625.5m, ׳ᯕ74.0mෝ⪶ᅕ⦹ᩍ᪶ᅖᬕ⧎ᯕa܆⦹݅(ᯙݡƱ
ᖅĥᅕŁᕽ, 2009).
2.3 টࢮധෘ߆
ᯙ⧎᮹ ᖁၶ☖⧪ప ߑᯕ░۵ ᯙḡႊ⧕᧲⧎อℎ᮹ Port
Management Information System(ᯕ⦹PORT-MIS)᮹2010֥
Fig. 1. General View of Cable Stayed Bridge
Table 1. Average Conversion Factor for GT and DWT
Tonnage GT* DWT**
More than 140,000GT 2.000
110,000140,000 GT 1.887
80,000110,000 GT 1.852
60,00080,000 GT 1.818
40,00060,000 GT 1.818
30,00040,000 GT 1.695
20,00030,000 GT 1.623
10,00020,000 GT 1.524
Less than 10,000GT 1.333
*GT : Gross Tonnage
**DWT : Dead Weight Tonnage
Fig. 2. Estimation of Ship Length Fig. 3. Estimation of Ship Width
᯦⇽⧎ᝁŁᱶᅕᨱɝÑ⦹ᩍ★ɪᄥᬕ⧎⬀ᙹෝᔑᱶ⦹ᩡ݅. ⧕ݚ
ᜅ▽ᮡᖁၶ᮹★ᙹෝᬊᱢ★ᙹ, GTಽḲĥ⦹Łᯩᮝӹᯕ۵
ᖙɩ⪚ᮡᖅᔍᬊഭ᮹ᇡŝෝ᭥⦽★ᙹಽᵝಽᔍᬊࡹ໑, ᖁၶ∊
࠭ ᖅĥᨱᕽ۵ ⦹ᵲᮥ ᔑᱶ⦹ʑ ᭥⦽ äᯕအಽ ᱢᰍᵲప★ᙹ, DWTಽᱥ⪹⧁⦥aᯩ݅. GT-DWTeᖁၶᱥ⪹ᮡDrewry Shipping Consultants Ltd.(⧕ᬕᔑᨦᩑǍᬱ, 1996)᮹ᖁ᳦ၰᖁ
⩶ᨱෙ⪹ᔑĥᙹෝ★ɪᄥಽTable 1ŝzᯕᱢᬊ⦹ᩡ݅. ᖁၶ᮹
ᱽᬱᮡAASHTO Guide, ⧎อၰᨕ⧎ᖅĥʑᵡ(2005) ॒ᨱᕽᱽŖ
⦹۵ᖁ᳦ၰ★ɪᄥߑᯕ░ෝᯕᬊ⦹Ñӹᬕ⧎ࡹ۵ᖁၶ᮹⢽ᅙ᳑
ᔍ⪚ᮡᱥᙹ᳑ᔍಽᇡ░⇵ᱶ⧁ᙹᯩ݅. ᅙᩑǍᨱᕽ۵ᯙ⧎ᮥ
ᯕᬊ⦹۵ᖁၶ᮹ʙᯕ᪡⡎ᨱݡ⦽ᱥᙹ᳑ᔍၰ⫭ȡᇥᕾᮥ☖⦹ᩍ
ᖁၶᱽᬱᮥFigs. 2 and 3ŝzᯕ⇵ᱶ⦹ᩡ݅. ᖁၶ★ᙹ᮹⪹ᔑĥᙹ
᪡⇵ᱶࡽᖁၶᱽᬱᯕᱢᬊࡽᯙݡƱ᮹ᩑeᖁၶ☖⧪పᮡTable
2᪡ z݅.
Table 2. Ship Frequency Data
Tonnage DWT N LOA* BM**
300,000350,000 327,844 5 340.5 56.7 250,000300,000 257,411 17 317.5 52.8 200,000250,000 213,518 46 300.9 50.0 150,000200,000 178,088 149 285.6 47.4 100,000150,000 114,863 258 251.7 41.7 80,000100,000 88,840 230 233.7 38.6
60,00080,000 67,357 378 215.8 35.6 40,00060,000 45,966 857 193.3 31.8 20,00040,000 26,800 1,568 165.5 27.2 Less than 20,000 3,047 17,869 88.5 14.3 *LOA : Length Over All
**BM : Width of ships
Table 3. Geometric Probability
DWT x1* x2* F(x1)** F(x2)** PG 327,844 202.8 284.5 0.2243 0.2983 0.0740 257,411 204.7 282.5 0.2405 0.3132 0.0728 213,518 206.1 281.1 0.2533 0.3249 0.0716 178,088 207.4 279.8 0.2662 0.3364 0.0702 114,863 210.3 277.0 0.2983 0.3644 0.0662 88,840 211.8 275.4 0.3176 0.3807 0.0631 67,357 213.3 273.9 0.3386 0.3978 0.0593 45,966 215.2 272.0 0.3672 0.4203 0.0531 26,800 217.5 269.7 0.4056 0.4484 0.0428 3,047 224.0 263.3 0.4943 0.4985 0.0042 *xn : Distance from collision area
**F(xn) : Cumulative normal distribution function at xn
Table 4. Probability of Collapse(HP=94.08MN)
DWT V PS HP/PS PC
327,844 4.698 322.81 0.291 0.0787 257,411 4.660 283.69 0.332 0.0743 213,518 4.627 256.58 0.367 0.0704 178,088 4.593 232.61 0.404 0.0662 114,863 4.500 183.00 0.514 0.0540 88,840 4.436 158.66 0.593 0.0452 67,357 4.358 135.73 0.693 0.0341 45,966 4.233 108.90 0.864 0.0151
26,800 4.009 78.77 1.194 0.0000
3,047 1.607 10.64 8.839 0.0000
2.4 ාߦଲคࠔ
⧎ಽᯕ┩⪶ශ, PA۵ᖁၶᯕ᳦᳑ᯱ᮹ᝅᙹӹʑĥŁᰆ, እᱶᔢ ᱢᯙʑᔢ᳑Õᮝಽᯙ⦹ᩍᱶ⧕ḥ⧎ಽෝᯕ┩⦹ŁƱపᨱ᭥⨹ᮥ
Ⅹ௹⧁ᙹᯩ۵⪶ශᯕ݅. PA۵⧎ಽᯕ┩᮹ʑᅙᮉŝ⪹Ğᱢᯙ
ᯙᨱ ෙ ᅕᱶĥᙹಽᇡ░ ݅ᮭŝ zᯕ ᱶ᮹ࡹŁ ᯩ݅.
PA=(BR)(R
B)(R
C)(R
XC)(R
D) (2)
ᩍʑᕽ, BR : ⧎ಽᯕ┩᮹ ʑᅙᮉ
R
B: Ʊప᮹ ᭥⊹ᨱ ෙ ᅕᱶĥᙹ
R
C: ᖁၶ᮹☖ŝĞಽᨱ⠪⧪⦽ᮁᗮᨱݡ⦽ᅕᱶĥᙹ R
XC: ᖁၶ᮹☖ŝĞಽ᮹Ḣbႊ⨆ᮁᗮᨱݡ⦽ᅕᱶĥᙹ R
D: ☖⧪ᖁၶ᮹ ၡࠥᨱ ݡ⦽ ᅕᱶĥᙹ
ᯙݡƱᖅĥᅕŁᕽ(2009)ᨱᕽ۵ݡᔢƱపᯕ᭥⊹⦽ᙹಽෝ
21°ᱶࠥ᮹⫭ᱥ⪚ᮡǞ⯹ᩢᩎᮝಽeᵝ⦹ᩡ݅. ᮁᗮᨱݡ⦽ᅕᱶ ĥᙹ۵R
Cᨱݡ⧕ᕽอ2.0knotsಽaᱶ⦹ᩡᮝ໑, R
D۵Łၡࠥಽ
ᇥඹ⦹ᩍ 1.6ᮥ ᱢᬊ⦹ᩡ݅. ᯕಽᇡ░ ĥᔑࡽ ᯙݡƱa ״ᯙ
ᙹಽ᮹ PA sᮡ 1.69×10
-4ᯕ݅.
2.5 ׆ୡคࠔ
ʑ⦹⦺ᱢ ⪶ශ, PG۵ ⧎ಽෝ ᯕ┩⦽ ᖁၶᯕ ᰆᧁྜྷᯕ ᯩ۵
Ŕᮝಽ⧎⧕ࢁ⪶ශಽ៉⧎ಽෝᯕ┩⦽ᖁၶ᮹⧎ᱢᇥ⡍۵⧕ݚᖁ ၶ᮹ʙᯕෝ⢽ᵡ⠙₉ಽ⦹۵ᱶȽᇥ⡍ಽᱶ᮹ࡹ໑, PG۵ᱥℕ
⧎ᱢᇥ⡍ ᩢᩎᨱ ݡ⦽ ∊࠭⎵ᜅ ᩢᩎ᮹ እᮉಽ ᱶ᮹ࡽ݅. ᯕভ
⠪Ɂ᮹ ᭥⊹۵ ⧎⧕ ᙹಽ᮹ ᵲᝍᖁᯕ݅. ᯙݡƱ ☖ŝ ᖁၶ᮹
PG sᮡ Table 3ŝ z݅.
2.6 ൞֏คࠔ
❭ƕ⪶ශᮡᖁၶᨱ᮹⦽∊࠭⦹ᵲŝƱపᇡᰍ᮹ᙹ⠪vࠥ᮹
እᮉಽ៉đᱶࡽ݅. ᖁၶ᮹∊࠭⦹ᵲᮡᖁၶ᮹Ⓧʑ᪡ᗮࠥෝᄡᙹ ಽ⦹۵e݉⦽Ğ⨹ᨱ᮹⧕ᔑᱶࢁᙹᯩᮝӹ, ⧕ᔢƱపᨱᕽ
⦹ᇡǍ᳑᮹ᙹ⠪vࠥ۵ʑᅙᱢᮝಽ࠺ᩎ⦺ᱢᨱթḡ᪡⯂ᙹᖒ܆᮹
šĥᯝᐱอᦥܩḡၹၰᮁℕ᮹ᩢ⨆ᮥŁಅ⦽ๅᬑᅖᰂ⦽
ŝᱶᮥÑℱ⦽݅. ႑ᬊȡ॒(2012)ᮡᯙݡƱ᮹⦹ᇡǍ᳑ᨱ
ᱢᬊࡽ⍡ᯕᝒၰ⩥ᰆ┡ᖅั૾᮹ᱽᬱŝaᔢŁᱶᱱ(⧎อၰᨕ⧎
ᖅĥʑᵡ, 2005)ᮥᯕᬊ⦹ᩍእƱᱢe݉⦽ႊჶᮝಽᙹ⠪vࠥෝ
⇵ᱶ⦹ᩡᮝ໑ᯕಽᇡ░ݡᔢƱప᮹ԕ∊࠭ᖒ܆ŝᩑe❭ƕኩࠥෝ
}ఖᱢᮝಽ⇵ᱶ⦹ᩡ݅. םྙᨱᕽ⩥ᰆ┡ᖅั૾1ᅙ᮹ᙹ⠪vࠥ۵
3.92MNᯕ໑, ᵝ┲ʑⅩᇡ᮹⩥ᰆ┡ᖅั૾ᯕ24ᅙᯕအಽvᰍ⍡
ᯕᝒၰ℁ɝ⎹Ⓧญ✙ั૾ᨱ᮹⦽↽ݡᙹ⠪vࠥH
P۵94.08MN ᮝಽ⇵ᱶࡹᨩ݅. ᖅĥŝᱶᨱᕽ۵∊࠭ᯕ⡍⧉ࡽ⦹ᵲ᳑⧊ᨱ᮹⦽
ᩢ⨆ᮥŁಅ⦽݅໕እƱᱢᱶၡ⦽ᙹ⠪vࠥෝᔑ⇽⧁ᙹᯩᮥäᮝಽ
Table 5. Probability of Collapse(HP=195.22MN)
DWT V PS HP/PS PC
327,844 4.698 322.81 0.605 0.0439 257,411 4.660 283.69 0.688 0.0347 213,518 4.627 256.58 0.761 0.0266 178,088 4.593 232.61 0.839 0.0179 114,863 4.500 183.00 1.067 0.0000 88,840 4.436 158.66 1.230 0.0000 67,357 4.358 135.73 1.438 0.0000 45,966 4.233 108.90 1.793 0.0000
26,800 4.009 78.77 2.478 0.0000
3,047 1.607 10.64 18.340 0.0000
Table 6. AF of Pylon Collapse by Lateral Resistance of Bridge Foundation
DWT N PA(×10-4) PG PC AF(×10-4) 327,844 5 1.690 0.0740 0.0787 0.0492 257,411 17 1.690 0.0728 0.0743 0.1552 213,518 46 1.690 0.0716 0.0704 0.3915 178,088 149 1.690 0.0702 0.0662 1.1700 114,863 258 1.690 0.0662 0.0540 1.5572 88,840 230 1.690 0.0631 0.0452 1.1085 67,357 378 1.690 0.0593 0.0341 1.2911 45,966 857 1.690 0.0531 0.0151 1.1627 26,800 1,568 1.690 0.0428 0.0000 0.0000
3,047 17,869 1.690 0.0042 0.0000 0.0000 쨲AF=6.8854×10-4
Table 7. AF of Pylon Collapse by Lateral Resistance of Bridge Protection
DWT N PA(×10-4) PG PC AF(×10-4) 327,844 5 0.0740 0.0740 0.0439 0.0275 257,411 17 0.0728 0.0728 0.0347 0.0724 213,518 46 0.0716 0.0716 0.0266 0.1478 178,088 149 0.0702 0.0702 0.0179 0.3158 114,863 258 0.0662 0.0662 0.0000 0.0000 88,840 230 0.0631 0.0631 0.0000 0.0000 67,357 378 0.0593 0.0593 0.0000 0.0000 45,966 857 0.0531 0.0531 0.0000 0.0000 26,800 1,568 0.0428 0.0428 0.0000 0.0000 3,047 17,869 0.0042 0.0042 0.0000 0.0000
쨲AF=0.5635×10-4
❱݉ࡽ݅. ݡᔢƱపᨱᱢᬊࡽ࠭⦡ႊ⪙Ǎ᳑ྜྷᮡ100,000DWT ᖁၶᯕ10knots ᗮࠥಽ∊࠭⦹ᩍࠥčॵࠥಾᖅĥࡹᨕᯩ݅. ⧕ݚ
᳑Õᨱᕽ᮹∊࠭⦹ᵲP
S۵ႊ⪙Ǎ᳑ྜྷᨱ᮹⦽ᙹ⠪vࠥಽeᵝ⧁
ᙹᯩᮝ໑, 195.22MNᯕ݅. bb᮹ᙹ⠪vࠥaᱢᬊࡽ❭ƕ⪶ශᮡ
Tables 4 and 5 ᪡ z݅.
2.7 ंࢼࡦ܄
ᩑe❭ƕኩࠥ᮹ ⨩ᬊʑᵡᮡ Ʊప ༉ु ᇡᰍ᮹ AFෝ ⧊⦹ᩍ
ᱢᬊ⦹íࡽ݅. ᯝၹᱢᮝಽƱప᮹ᔢᇡǍ᳑۵ᬕ⧎⪚ᮡᬕ⧎ᯕ
ᩩᔢࡹ۵↽ݡᖁၶ᮹ษᜅ✙׳ᯕෝᱢᬊ⦹ᩍ⦥⦽⩶⦹Ŗeᮥ
ᯕԕ᮹ᇡᰍᨱ⧁ݚ⦹ᩍᱢᬊ⦹íࡽ݅. AASHTO Guideᨱᕽ۵
ᇡᰍ᮹ᵲࠥ᪡ƱℕእᬊᮥŁಅ⦹ᩍᇥ႑⦹ࠥಾǭᰆ⦹Łᯩ݅.
ᇡᰍ᮹ᵲࠥ۵ᯕᖒಽ॒(2006b)ᯕᱽᦩ⦽ᔍᱥ᭥⨹ࠥ⠪aෝ
☖⦽ႊჶᯕݡ⢽ᱢᯕ໑, ƱℕእᬊᮡᖅĥŝᱶᨱᕽŖᔍእᔑ⇽ᯱ
ഭᨱɝÑ⦹ᩍᱢᬊ⧁ᙹᯩ݅. ᯙݡƱᵝ┲᮹⨩ᬊʑᵡᇥ႑ᮉᮡ
ᔍᱥ᭥⨹ࠥ⠪aᨱᕽ40%, Ʊℕእᬊᨱ᮹⧕25%ಽᔑᱶࡹᨩᮝ໑, ᅙᩑǍᨱᕽ۵᭥đŝෝᔑᚁ⠪Ɂ⦹ᩍ32.5%ಽđᱶ⦹ᩡ݅.
ᕽ ᯙݡƱ ᵝ┲᮹ ⨩ᬊ ᩑe❭ƕኩࠥ۵ 0.325×10
-4ᯕ݅.
2.8 ԩ൞֏थܑ
MethodⳒᨱ ᮹⦽ ᭥⨹ࠥ⠪aᨱᕽ۵ ᩑe❭ƕኩࠥෝ Ʊప᮹
ᵲࠥᨱෙ⨩ᬊʑᵡᮝಽᱢᬊ⦹Ł, Ʊప᮹ᙹ⠪vࠥෝၙḡᙹ ಽ⦹ᩍ⨩ᬊʑᵡᮥอ᳒⦹۵↽ᗭᙹ⠪vࠥෝ⧪₊᪅ჶᨱ᮹⧕
ᔑᱶ⦽݅. ᯕෝᖅĥᙹ⠪vࠥ⦹໑, ᖅĥᙹ⠪vࠥෝ∊Ċಆᮝಽ
ᱢᬊ⦹ŁƱపᇡᰍ᮹ᖅĥᗮࠥෝᱢᬊ⦹ᩍᩎᔑ⦹໕ᖅĥᖁၶᮥ
ᔑᱶ⧁ᙹᯩ݅. ᖅĥᙹ⠪vࠥ۵ƱbᯕӹʑⅩ᮹ᖅĥၰǍ᳑⧕ᕾ ᨱᱢᬊࡹ໑, ᖅĥᖁၶᮡƱప᮹ᔢᖙ⧕ᕾ⪚ᮡႊ⪙Ǎ᳑ྜྷᖅĥ
॒ᨱ ᱢᬊࡽ݅.
ᅙᩑǍᨱᕽ۵ݡᔢƱప᮹ᖅĥᙹ⠪vࠥၰᖅĥᖁၶᮥᔑᱶ⦹
Łʑ᳕Ǎ᳑ྜྷᯙᵝ┲ʑⅩ᪡ႊ⪙Ǎ᳑ྜྷᨱ᮹⦽ᙹ⠪vࠥಽᇡ░
Tables 6 and 7ᮡ ᵝ┲ʑⅩ ၰ ႊ⪙Ǎ᳑ྜྷ᮹ ᙹ⠪vࠥᨱ ᮹⦽
Ʊప᮹AFෝ, Table 8ᮡᖅĥᙹ⠪vࠥᨱ᮹⦽Ʊప᮹AFෝӹ┡ԙ
äᯕ݅. bb᮹⦹ᵲ᳑Õᨱෙᖁၶ∊࠭ᖅĥđŝ۵Table 9᪡
z݅. ႊ⪙Ǎ᳑ྜྷᯕᨧ۵ĞᬑݡᔢƱపᮡ23,225DWT ᯕ⦹᮹
ᖁၶᨱݡ⧕ᕽอčॽᙹᯩᨩᮝ໑, ᇡa⦹ᵲᮥᮁၽ┅۵∊࠭
ኩࠥ۵ႊ⪙Ǎ᳑ྜྷᨱእ⦹ᩍ12.5႑, ⨩ᬊʑᵡᨱእ⦹ᩍ21.5႑ӹ
׳ᦹ݅. ႊ⪙Ǎ᳑ྜྷᨱ᮹⦽ᙹ⠪vࠥ۵2010֥☖⧪పᮥᱢᬊ⦽
ᖅĥᙹ⠪vࠥ215.28MN᮹90.7% ᙹᵡᮝಽ☖⧪ప᷾aᇥᯕᗭ
ɚᱢᮝಽ ၹᩢࡹᨩ äᮝಽ ❱݉ࡽ݅.
Table 8. AF of Pylon Collapse by Design Lateral Resistance of Bridge DWT N PA(×10-4) PG PC AF(×10-4) 327,844 5 1.690 0.0740 0.0370 0.0231 257,411 17 1.690 0.0728 0.0268 0.0560 213,518 46 1.690 0.0716 0.0179 0.0995 178,088 149 1.690 0.0702 0.0083 0.1464 114,863 258 1.690 0.0662 0.0000 0.0000 88,840 230 1.690 0.0631 0.0000 0.0000 67,357 378 1.690 0.0593 0.0000 0.0000 45,966 857 1.690 0.0531 0.0000 0.0000 26,800 1,568 1.690 0.0428 0.0000 0.0000
3,047 17,869 1.690 0.0042 0.0000 0.0000 쨲AF=0.3250×10-4
Table 9. Result of Ship Collision Design
Classification Bridge foundation
Bridge protection
Design lateral resistance Lateral
resistance(MN)
94.08 (43.7%)
195.22
(90.7%) 215.28 AF(×10-4) 6.8854
(×21.2)
0.5635
(×1.7) 0.3250 Design Vessel
(DWT)
23,225 (19.1%)
100,002
(82.2%) 121,610
Table 10. Design Result by Tonnage Spacing
Tonnage Spacing
(DWT)
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) 10,000
tonnage
6.854 (×1.0)
0.576 (×1.0)
215.11 (99.9%)
121,418 (99.8%) 20,000
tonnage
6.878 (×1.0)
0.570 (×1.0)
214.99 (99.9%)
121,282 (99.7%) AASHTO
Guide 6.887 0.564 215.29 121,621
3. ၝqࠥᇥᕾ
ᖙĥᱢᮝಽ ᖁၶ∊࠭ŝ šಉ⦽ ⪶ශ༉ߙॅᯕ }ၽࡹŁ Ʊప
Õᖅ⥥ಽ᱾✙ᨱᱢᬊࡽၵᯩᮝӹݡℕಽᮁᔍ⦹໑AASHTO Guide(2009)᮹MethodⳒ᪡zᮡ⩶┽ෝaḥ݅. ᕽ⧕ᔢƱప ᮹ ᖁၶ∊࠭ᖅĥ ⧕ݚ ʑᵡ᮹᭥⨹ࠥ ⠪a ႊჶᮥᱢᬊ⦹໕
อ᳒⧁อ⦽ᖅĥ⦹ᵲᮥđᱶ⧁ᙹᯩᮥäᮝಽ❱݉ࡽ݅. ə్ӹ
ʑᵡᨱᕽ᭥⨹ࠥ⠪aෝ᭥⦹ᩍᱶ᮹ࡽᗭॅᮡԕයᙹಽᨱǎ⦽
ࡹᨕ ᯩÑӹ ḡᩎᱢᯙ ᯙᯕ v⦹ᩍ ᖅĥᯱ᮹ ❱݉ᮥ ⦥ಽ
⦹۵ Ğᬑa ᯩᮝအಽ ݅ෙ ᖅĥʑᵡᯕӹ ᩑǍđŝ ⪚ᮡ ݅ෙ
⧕ᔢƱప⥥ಽ᱾✙᮹đŝෝₙ᳑⦹ᩍđᱶ⧕⦹۵Ğᬑaᯩ݅.
ᅙᩑǍᨱᕽ۵AASHTO Guide᮹MethodⳒᨱᕽᱽࡽᗭॅ
᮹ᔑᱶႊჶŝ⇵ᱶɝÑᨱݡ⦽Łₑᮥᙹ⧪⦹ᩡᮝ໑݅ෙᖅĥʑ ᵡŝᩑǍđŝ, ⧕ᔢƱప⥥ಽ᱾✙ෝₙ᳑⦹ᩍᖅĥᗭෝݡᔢƱ పŝzᯕմᮡၵ݅ᨱ״ᯙƱపᨱᅕ݅ᱢ⧊⦽ႊჶᮥᱽᦩ⦹ᩡ݅.
ੱ⦽, ݡᔢƱపᨱᱢᬊa܆⦽ᖅĥᗭ᮹aᄡᩢᩎᮥᱶ᮹⦹Ł
⧕ݚ ᗭॅᨱ ݡ⦽ ၝqࠥ ᇥᕾᮥ ᙹ⧪⦹ᩡ݅.
3.1 টࢮଭԩധෘ߆
AASHTO Guide ᨱᕽ۵᭥⨹ࠥ⠪aෝ᭥⦽★ɪᇥඹෝ10อ
★ ၙอ᮹ ᖁၶᮡ 2อ★ ᯕ⦹ಽ, 10อ★ ᯕᔢ᮹ ᖁၶᮡ 5อ★
ᯕ⦹ಽ⦹ࠥಾȽᱶ⦹Łᯩ݅. ə్ӹݡ⩶ᖁၶ᮹እᵲᯕiᙹಾ
׳ᦥḡŁᯩᮝ໑⨩ᬊʑᵡᮥอ᳒⦹۵ᩑe❭ƕኩࠥaᵝಽݡ⩶
ᖁၶᨱ᮹⧕ݡᇡᇥđᱶࡹအಽ10อ★ᯕᔢ᮹ᖁၶᨱݡ⦽★ɪ
ᇥඹeĊᮥá☁⧁⦥aᯩ݅. Table 10ᮡᖁၶ᮹★ɪᇥඹ
eĊᮥbb 1, 2อ★ ݉᭥ಽ⦹ᩍ AASHTO Guideᨱ ᱽࡽ
ᇥඹႊჶŝ᮹᭥⨹ࠥᇥᕾđŝෝእƱ⦽äᯕ݅. bb᮹ᇥඹႊჶ ᨱෙ ᇥᕾđŝa ݡℕಽᮁᔍ⦹ᩍ ★ɪ ᇥඹeĊᯕ ᭥⨹ࠥ
ᇥᕾᨱၙ⊹۵ᩢ⨆ᯕⓍḡᦫᦹ۵ߑ, ᯕ۵ᇥඹeĊᄥಽ⧕ݚǍe ᮹ݡ⢽★ᙹෝ⠪Ɂ★ᙹಽᱢᬊ⦹ᩡʑভྙᮝಽ❱݉ࡽ݅. ə్အ ಽ★ɪᄥ⠪Ɂ★ᙹ᮹ᱢᬊᯕa܆⦹݅໕AASHTO Guide ႊჶᮥ
ᱢᬊ⦹ᩍࠥྙᱽaᨧᮝӹ⠪Ɂ★ᙹᱶᅕaaᬊ⦹ḡᦫ݅໕⬉ᮉ ᱢᯙᇡᇥᮥŁಅ⦹ࡹ, ᖙၡ⦹íᇥඹ⧁ᙹಾ᪅₉aᱢᮥäᮝಽ
❱݉ࡽ݅.
3.2 ාߦଲคࠔ(Probability of Aberrancy)
PA۵ᯙŝ⪶ශ(Causation probability)ᯕŁࠥ⦹໑, ᵝಽᖁ ၶ᮹᳭Ⅹ᪡šಉ⦹ᩍ1970֥ݡⅩʑᇡ░ฯᮡᩑǍᯱॅᨱ᮹⧕
ᙹ⧪ࡹᨩ݅. Fujii et al.(1974)ᮡᖁၶ᮹᳑ᱶᇩaᔢ┽ෝƱ☖ప
š⊂ᨱʑⅩ⦽ ᔍŁ ၽᔾ⬀ᙹ᪡ ᙹಽ᮹ ḡ⩶ᱢᯙ᳑Õᨱ ෙ
ʑ⦹⪶ශಽ ᱶప⪵⦹ᩍ ᯝᅙԕ ⧕⩲᮹ ᯙŝ⪶ශᮥ 0.6×10
-4~ 1.0×10
-3ᮝಽđᱶ⦹ᩡ݅. MacDuff(1974)۵ስ⡢᮹ၵ۹ྙᱽෝ
ᯕᬊ⦹ᩍᙹಽԕ᮹༉ुᖁၶᯕྕ᯲᭥ಽᇥ⡍ࡽ݅۵aᱶ⦹ᨱ
ᔍŁᨱ ݡ⦽ ᯕುᱢ ⪶ශᮥ ĥᔑ⦹Ł ᳭Ⅹ᪡ ∊࠭ᔍŁ ʑಾᨱ
ݡ⦽ šₑŝ᮹ እƱෝ ☖⦹ᩍ ᔢ⪙e᮹ ₉ᯕෝ ᖅ⦹ʑ ᭥⦽
ᙹᱶᯙᯱ, ᯙŝ⪶ශᮥ1.0~5.0×10
-4ᮝಽđᱶ⦹ᩡ݅. ᯙŝ⪶ශŝ
šಉࡽݡᇡᇥ᮹ᩑǍ۵Fujii ੱ۵MacDuff᮹ᱲɝჶᮥɝÑಽ
⦹Ñӹ✚ᱶᙹᩎᨱᕽᔍŁ᮹☖ĥᯱഭᨱ᮹⧕อॅᨕḥ݅(Larsen,
1993). Ʊపᨱ ᱢᬊࡽ ݡ⢽ᱢᯙ ᯙŝ⪶ශᮡ Table 11ŝ z݅.
Table 11. Lists of PA Value
Bridge PA
Sunshine Skyway Bridge, U.S.A 1.3×10-4(ship) 2.0×10-4(barge) Dames Point Bridge, U.S.A 1.3×10-4(ship)
4.1×10-4(barge) Francis Scott Key Bridge, U.S.A 1.0×10-4(ship)
2.0×10-4(barge) Chesapeake Bay Bridge and
Tunnel, U.S.A 0.7×10-4 Vicksburg Bridge, U.S.A 5.4×10-4 Laviolette Bridge, Canada 0.5×10-4 Centennial Bridge, Canada 5.0×10-4
Tasman Bridge, Australia 0.61.0×10-4 Akashi Bridge, Japan 1.4×10-4 Great Belt Crossing Bridge,
Denmark
1.1×10-4(with pilot) 3.2×10-4(without pilot)
Table 12. Design Result by PA Value
PA (×10-4)
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) 0.845 3.444
(×0.5)
0.282 (×0.5)
187.96 (87.3%)
92,702 (76.2%) Incheon
bridge 6.887 0.564 215.29 121,621 2.535 10.331
(×1.5)
0.845 (×1.5)
224.40 (104.2%)
132,131 (108.6%)
Table 13. Design Result by Location of Mean
Location of mean
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) 1/4 from
center
4.661 (×0.7)
0.438 (×0.8)
207.55 (96.4%)
113,033 (92.9%) AASHTO
Guide 6.887 0.564 215.29 121,621 3/4 from
center
9.208 (×1.3)
0.676 (×1.2)
219.72 (102.1%)
126,678 (104.2%)
Table 14. Design Result by Standard Deviation
Standard deviation
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) 쩒=0.8LOA 6.441
(×0.9)
0.583 (×1.0)
216.29 (100.5%)
122,753 (100.9%) AASHTO
Guide 6.887 0.564 215.29 121,621 쩒=1.2LOA 6.762
(×1.0)
0.521 (×0.9)
213.01 (98.9%)
119,059 (97.9%)
AASHTO Guideᨱᕽ۵ᯝၹᖁၶŝၵḡᖁᨱݡ⦽ᯙŝ⪶ශ᮹
ʑᅙᮉᮥbb0.6×10
-4, 1.2×10
-4ᮝಽᱶ᮹⦹Łᮁᗮᖒᇥŝᖁၶ
ᬕ⧎ၡࠥᨱෙᅕᱶĥᙹෝᱢᬊ⦹Łᯩ݅. ᯕ۵ʑᅙᱢᯙᯙŝ⪶
ශᮥ0.6×10
-4ᮝಽᅕŁၵḡᖁ᮹᳦᳑ᖒ܆ᮥᯝၹᖁၶ᮹50% ᱶࠥ
ԏí⠪a⦽äᮝಽ❱݉ࡽ݅. ᅙםྙᨱᕽ۵ݡᔢƱప᮹᭥⨹ࠥᇥᕾ ᨱᱢᬊࡽPA s᮹aᄡᩢᩎᮥ±50% ᱶࠥಽ⦹ᩍၝqࠥᇥᕾᮥ
Table 12᪡zᯕᙹ⧪⦹ᩡ݅. ᇥᕾđŝᨱ໕, PAa-50%ʭḡ
᯲ᦥḡ۵Ğᬑᖅĥᖁၶᮡ23.8% qᗭࡹᨩᮝ໑, PAa+50%ʭḡ
⍅ḡ۵Ğᬑᖅĥᖁၶᮡ8.6% ᷾aࡹᨩ݅. ᯙŝ⪶ශᮡḡᩎᱢᯙ
ᯙᯕv⦹ʑভྙᨱƱపᯕ״ᯙᙹಽ᮹᭥⊹ᨱๅᬑ݅᧲⦹í
ᱢᬊࡹŁ ᯩᮝ໑ Table 11ᨱ ӹ᪉ ၵ᪡ zᯕ ᄡ࠺ᖒᯕ ⓍŁ ݉
1 ⫭᮹ᔍŁᨱࠥ᷾qᯕⓍíӹ┡ӽ݅. ᕽʑᵡᨱᕽᱽ⦹۵
ᯙŝ⪶ශᅕ݅۵⧕ݚᙹಽ⪚ᮡᙹᩎ᮹ᔍŁᯕಆᮥᇥᕾ⦹ᩍ⧕ݚ
sᮥ ᖅĥᨱ ၹᩢ⦹۵ äᯕ ၵ௭Ḣ⧁ äᮝಽ ❱݉ࡽ݅.
3.3 ׆ୡคࠔ(Geometric Probability)
AASHTO Guide ᨱᕽ۵ᖁၶ∊࠭ᔍŁᯕಆᨱɝÑ⦹ᩍ⧎ಽ ᮹ᵲᝍᮥ⠪Ɂᮝಽ⦹Ł⧕ݚᖁၶ᮹ʙᯕෝ⢽ᵡ⠙₉ಽ⦹۵
ᱶȽᇥ⡍ෝ ᔍᬊ⦹Ł ᯩ݅. ə్ӹ ⧕ݚʑᵡᮡ ᔍŁ ߑᯕ░a
ᱢᮡ⠙ᯕŁ20֥ᯕᔢࡽᯱഭᯕ໑ԕයᙹಽ᮹ၵḡᖁ∊࠭ᔍŁa
ᔢݚ⯩⡍⧉ࡹᨕᯩ݅۵⦽ĥaᯩ݅. ᯕ్⦽ྙᱽෝ⧕đ⦹ʑ
᭥⦹ᩍ ᖙĥᱢᮝಽ ⧕ᔢƱప᮹ ᔍŁʑಾᮥ ⇵aᱢᮝಽ ᳑ᔍ⧁
⦥aᯩāᮝӹᯕ۵⠪Ɂ᮹᭥⊹᪡⢽ᵡ⠙₉᮹᷾qᮝಽݡᄡࢁ
äᮝಽᩩᔢࡽ݅. ᕽᅙםྙᨱᕽ۵ᱶȽᇥ⡍᮹⠪Ɂᯕbb
ᙹಽ᮹1/4, 3/4 ᭥⊹ಽᄡ⪵ࡹ۵Ğᬑ᪡⢽ᵡ⠙₉aݡᔢᖁၶ᮹
0.8LOA, 1.2LOAಽᄡ⪵ࡹ۵Ğᬑᨱݡ⦽ၝqࠥᇥᕾᮥᙹ⧪⦹
ᩡ݅. ᇥᕾđŝᨱ໕, Table 13ŝzᯕ⠪Ɂ᮹᭥⊹ᄡ⪵ᨱ
ෙ∊࠭᭥⨹ᮡ±0.3႑, ᖅĥᖁၶᮡ±7.1% ᱶࠥᩡᮝӹ, Table 14 ᪡zᯕ⢽ᵡ⠙₉᮹ᄡ⪵ᨱෙ∊࠭᭥⨹ŝᖅĥᖁၶᮡbb
±0.1႑, ±2.1% ᱶࠥᩡ݅. ᕽᄥࠥ᮹᳑ᔍŝᱶᮥÑ⊹ḡᦫŁ
AASHTO Guide ᮹ Ƚᱶᮥ ᔍᬊ⦹ࠥ ྙᱽa ᨧᮥ äᮝಽ
❱݉ࡹӹ ⨆⬥ Ʊపᮥ ☖ŝ⦹۵ ᖁၶ᮹ ᬕ⧎ᝅ┽ ᳑ᔍ ᨱ۵
⠪Ɂᱢᯙᖁၶ᮹᭥⊹᪡᳑ᖁᯱ᮹ᬕ⧎ᵲᝍᮥᅕ݅ᵲᱱᱢᮝಽ
ᇥᕾ⧁ ⦥a ᯩ݅.
AASHTO Guide ෝእ⦹ᩍᖁၶ᮹ᬕ⧎ŝšಉࡽᩑǍđŝᨱ
ᕽᖁၶ᮹ ⧎⧕ ⧎ᱢᮡݡᇡᇥ ᱶȽᇥ⡍ಽ ᱶ᮹ࡽ݅. Olsen ॒
(1993) ᮡእƱᱢմᮡ⧕ᩎᯙᯝᅙ᮹Bisan seto ᙹಽ᪡Great
Table 15. Design Result by Relative Findings
Relative findings
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) Olsen etc. 5.391
(×0.8)
0.447 (×0.8)
208.25 (96.7%)
113,797 (93.6%) Inoue etc. 5.080
(×0.7)
0.422 (×0.7)
206.14 (95.7%)
111,503 (91.7%) AASHTO
Guide 6.887 0.564 215.29 121,621
belt ᨱᕽ᮹š⊂đŝಽᇡ░⧎ᱢᇥ⡍ෝᱶȽᇥ⡍ಽ༉ߙย⦹ᩡ݅.
⢽ᵡ⠙₉۵ᯝၹᱢᯙݡ⩶ᖁၶᱥᰆ᮹ࢱ႑(2×LOA)ಽaᱶ⦹Ł, ᯝၹᱢᯙݡ⩶ᖁၶᮡᖁၶⓍʑᇥ⡍᮹95%ಽᱶ᮹⦹ᩡ݅. Inoue (1977)᪡Kuroda et al.(1983)ᮡ⧎⧕ᙹಽᨱᕽ᪶ᅖ☖⧎ᨱݡ⦽
ᖁၶ᮹⧎ᱢᇥ⡍ෝĞ⨹ᱢᮝಽ݅ᮭŝzᮡ⠪Ɂsŝ⢽ᵡ⠙₉ෝ
aḡ۵ ᱶȽᇥ⡍ಽ ɝᔍ⧁ ᙹ ᯩ݅Ł aᱶ⦹ᩡ݅.
ᩍʑᕽ, W : ⧎⧕ ᙹಽ᮹ ⡎
a : 0.2 ; ᙹಽ ᵲᦺᨱ ᇥญ ⢽ᯕ ᯩᮥ Ğᬑ 0.1 ; ᙹಽ ᵲᦺᨱ ᇥญ ⢽ᯕ ᨧᮥ Ğᬑ
Table 15۵ ⧕ݚᩑǍđŝෝݡᔢƱపᨱᱢᬊ⦹ᩍ᭥⨹ࠥᇥᕾ
ᮥᙹ⧪⦽đŝಽAASHTO Guide۵݅ෙᩑǍđŝᨱእ⦹ᩍ
∊࠭᭥⨹ŝᖅĥᖁၶᯕ݅ᗭ׳í⠪aࡹ۵äᮝಽ᳑ᔍࡹᨩ݅.
ᕽ⢽ᵡ⠙₉᮹ᱢᬊႊჶᯕӹ⧎⧕⧎ᱢ༉ߙย⠪Ɂ᮹᭥⊹
ᨱ ݡ⦽ ⇵aᱢᯙ ᯱഭ᳑ᔍa ⦥⧁ äᮝಽ ❱݉ࡽ݅.
3.4 ൞֏คࠔ(Probability of Collapse)
❭ƕ⪶ශ, PC۵ᖁၶ᮹∊࠭ᨱ᮹⧕Ǎ᳑ྜྷᯕ❭ƕࢁ⪶ශᯕ݅.
⧎ಽෝᯕ┩⦽ᖁၶᮡƱప᮹⦹ᇡǍ᳑ᨱ∊࠭⧁a܆ᖒᯕๅᬑ
׳ᮝ໑, ᯕ్⦽∊࠭᮹ᯝᇡ۵Ʊపᨱᝍb⦽ᗱᔢᮥⅩ௹⧁ᙹ
ᯩ݅. AASHTO Guideᨱᕽ۵ Cowiconsult(1987)ᨱᕽ }ၽࡽ
⪶ශၡࠥ⧉ᙹෝᱢᬊ⦹ᩍᖁၶ᮹∊࠭⦹ᵲŝƱప⦹ᇡǍ᳑᮹ᱡ
⧎ಆ᮹ šĥᨱ PCෝ ݅ᮭŝ zᯕ ᱶ᮹⦹Ł ᯩ݅.
× = ¡
©î©
¬= ×íÎì © á ×íÎ âÖÞ×íÎ à ¡
©î©
§ (5)
×íÎ = ¡
©î©
¬= Îì © á ÞÎí× à ¡
©î©
¬ßîÖ (6)
¡
©î©
¬= Îì © á Îí× (7)
ᩍʑᕽ, P
S: ᖁၶ∊࠭ಆ H
P: Ǎ᳑ྜྷ᮹ ᱡ⧎ಆ
AASHTO Guide ᨱᕽᖁၶ∊࠭ಆP
S۵Woisin(1976)᮹ྜྷญ
༉ߙᝅ⨹đŝᨱɝÑ⦹Łᯩᮝ໑, ⧕ݚᩑǍᨱᕽ۵ᱥℕ∊࠭⦹ᵲ ᇥ⡍᮹70%ᇥ᭥ᙹෝᔍᬊ⦽⠪Ɂ∊࠭⦹ᵲᮥᔍᬊ⦹Łᯩ݅. ᯕᨱ
ၹ⧕EUROCODE(2001)ᨱᕽ۵Great Belt Bridge Projectᨱᕽ
Pedersen et al.(1993) ᮹ᙹ⊹ᯱഭෝɝÑಽ⦽↽ݡ∊࠭⦹ᵲᮥ
ᔍᬊ⦹Łᯩ݅. ᭥⨹ࠥᇥᕾEUROCODEᨱᕽᱽᦩࡽ∊࠭⦹ᵲ
ᮥᔍᬊ⦹໕∊࠭⦹ᵲᮥᅕᙹᱢᮝಽ⠪a⦹۵đŝaࡹḡอᖅĥ ᖁၶᮡᕽಽz݅. ᯕ۵ᖅĥᖁၶᯕ∊࠭⦹ᵲĞ⨹ᮝಽᇡ░ᩎᔑ
⦹ᩍᔑᱶࡹʑভྙᯕ݅. Ǎ᳑ྜྷ᮹ᱡ⧎ಆH
P۵AASHTO Guide ᨱᕽ ᭥⨹ࠥ⠪a᮹ ↽᳦ ༊⢽ᯕ໑, ၙḡᙹa ࡹ۵ sᮝಽ Ⅹʑ
aᱶ⬥᭥⨹ࠥa⨩ᬊʑᵡᮥჸᨕӹ໕⧕ݚs᮹ ᷾qᮥ☖⦹ᩍ
⧪₊᪅ჶᮝಽ⦥⦽Ǎ᳑ྜྷ᮹ᱡ⧎ಆᷪ, ᖅĥᙹ⠪vࠥෝđᱶ
⧁ᙹᯩ݅. ݡᔢƱపᮡᖅĥᙹ⠪vࠥ᮹Ⓧʑᨱ⦹ᇡǍ᳑᮹
ᯱℕvᖒᯕӹ࠭⦡⪚ᮡᯙŖᖍŝzᮡႊ⪙Ǎ᳑ྜྷᨱ᮹᳕⦹ᩍ
ᖁၶ∊࠭ಆᨱ čॽᙹ ᯩࠥಾ ᖅĥࡽ݅.
AASHTO Guideᨱᕽ ❭ƕ⪶ශᮡ Ʊపᮥ ๅᬑ ⓑ ᖁၶᮝಽ
aᱶ⦹Łݡᔢᖁၶ᮹∊࠭ᨱ᮹⦽ᔢݡᱢᯙᗱᔢእᮉಽᱶ᮹⦹Ł
ᯩᨕእƱᱢ⧊ญᱢᯕ໑ᱢᬊᖒᯕᳬí}ၽࡹᨩᮝӹ∊࠭᭥⊹ӹ
∊࠭ℕၰ⦝∊࠭ℕ᮹✚ᖒ॒ᮡŁಅࡹḡᦫŁᯩ݅. ᳑⪙⩥(2009)
ᮡ∊࠭⦹ᵲ᮹⪶ශ༉ߙŝᵝ┲᮹ᱥ݉ᱡ⧎ ≉᧞ࠥෝ⠪a⦹ᩍ
❭ƕ⪶ශᮥᔑᱶ⦹ᩡᮝӹ∊࠭ݡᔢŝ❭ƕÑ࠺ᯕ⦽ᱶࡹᨕᯩᮝ໑
ᔢݚ⯩ᅕᙹᱢᯙđŝෝᅕᯕŁᯩᨩ݅. Consolazio, G. R.(2010)
॒ᮡၵḡᖁ᮹∊࠭ᨱݡ⦽∊࠭᭥⊹ၰƱప⦹ᇡǍ᳑᮹Ǎ᳑⩶
ᨱෙ∊࠭ဍ౩ᯕᖹđŝಽᇡ░❭ƕ⪶ශᮥእƱᱢᱶ⪶⦹í
⇵ᱶ⦹ᩡᮝӹݡᔢᖁၶᯕ݅᧲⦽Ğᬑᨱ۵eᗭእᱢᯙ⊂໕ᯕ
ᯩᨕᯝၹᱢᯙ⧕ᔢƱప᮹ᖅĥ݉ĥᨱᕽၵಽᱢᬊ⦹ʑᨱ۵ᨕಅᬙ
äᮝಽ❱݉ࡽ݅. ⨆⬥Ŗᬊᵲᯙ⧕ᔢƱపᨱݡ⦽༉ܩ░ยŝၽᔾ
ᔍŁᨱ ݡ⦽ ∊࠭ ၰ ᬕ⧎ဍ౩ᯕᖹ ॒ᮥ ⪽ᬊ⦹ᩍ AASHTO Guide ʑၹ᮹❭ƕ⪶ශᮥ⠪a⦹Łᯕෝ}ᖁ⦹ʑ᭥⦽⇵aᱢᯙ
ᩑǍa ⦥⦽ äᮝಽ ❱݉ࡽ݅.
3.5 ࢺծ(Protection Factor)
ႊ⪙ĥᙹ۵AASHTO Guide 2009֥❱ᨱᔩí⇵aࡽᗭ ಽ៉⦹ᇡǍ᳑ᨱ᯲ᬊ⦹۵∊࠭ಆᯕᰆᧁྜྷᨱ᮹⧕ᅕ⪙ࡹ۵ᱶࠥ
ෝŁಅ⦹ʑ᭥⦽äᯕ݅. ᩩෝॅᨕ✚ᱶƱb, ʑⅩaᦵⅩӹ
ᖍᨱ᮹⧕᪥ᱥ⯩ᅕ⪙ࡽ݅໕PF۵0ᯕࡹ໑, ᙹᝍᯕԏᦥᯝᇡᖁၶ
อᱲɝa܆⦹Ñӹᰆᧁྜྷ॒ᨱ᮹⧕ᅕ⪙ࡹŁᯩ݅໕ᅕ⪙ᱶࠥෝ
Table 16. Design Result by Navigating Speed
VT
(knots)
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) 6.0 1.623
(×0.2)
0.000 (×0.0)
130.81 (60.8%)
44,900 (36.9%) 8.0 3.958
(×0.6)
0.083 (×0.1)
173.05 (80.4%)
78,579 (64.6%) Incheon
bridge 6.887 0.564 215.29 121,621
Table 17. Available Risk Distribution Model
Risk distribution model Pylon Pier Preliminary risk assessment 40% 10%
Replacement cost 25% 25%
Arithmetic mean 32.5% 17.5%
Łಅ⦹ᩍ ᱢᱶ ĥᙹෝ ᔍᬊ⦹í ࡽ݅. ə్ӹ ᅕ⪙ࡹ۵ ᱶࠥᨱ
ݡ⦽ᱶపᱢᯙḡ⢽۵ᙹพࡹᨕᯩḡᦫᦹ݅. ǎԕᨱᕽࠥႊ⪙ĥᙹ
᪡ᮁᔍ⦽}ֱ᮹᭥⨹ࠥᇥ႑༉ߙᯕᱽᦩࡹᨩ݅. ᯕᖒಽ॒(2010)
ᮡ∊࠭᭥⨹ᮥᙹಽᩢᩎᨱšĥᨧᯕᙹಽᵲᝍᮝಽᇡ░3×LOA ჵ᭥ᨱ ᯩ۵ ༉ु ᇡᰍᨱ ⧁ݚ⦹Ł, ᯕಽᇡ░ ᙹಽᩢᩎᨱ ᯩ۵
ᇡᰍ᮹᭥⨹ࠥ⠪aෝᙹ⧪⧕⦹໑ᯕভ, ƱపǍᖒᇡᰍ᮹AF᮹
⧊ᮡƱపᱥℕ᮹⨩ᬊAFᅕ᯲݅í⠪aࢁᙹࠥᯩ݅ŁᅕŁ⦹ᩡ
݅. ᅙםྙ᮹ݡᔢƱపᮡ✚ᄥ⦽ᰆᧁྜྷᯕᨧ۵⧕ᔢᨱ᭥⊹⦹Ł
ᯩᮝအಽ ႊ⪙ĥᙹ۵ 1.0 ⪚ᮡ ᱢᬊ⧁ ⦥a ᨧᮝအಽ ᔍᬊࡽ
ʑᵡ᮹ ᄡĞ ᔍ⧎ᨱ ݡ⦽ ᩢ⨆ᮥ ၼḡ ᦫ۵݅.
3.6 টࢮଭ౦ܕুܑ
ᖁၶᯕ ⧎ԕᨱ ḥ᯦⦹Ñӹ ᙹಽ᮹ อłᇡ ⪚ᮡ Ʊపŝ zᮡ
᭥⨹ྜྷɝෝḡԁভᷪ, ᬕ⧎bᄥ⦽ᵝ᮹ෝ⦹۵ᔢ⫊ᨱᕽ۵
qᗮᬕ⧎ᯕӹ⦥⦽ᱽၹ᳑⊹ෝ≉⧕⦽݅. ə్ӹᱲᦩ᪡
zᯕ1י✙ԕಽᬕ⧎⧁ᙹ۵ᨧᮝ໑, ᗮࠥaԏ݅Ł⧕ᕽ᳦᳑ᖒ
܆ᯕྕ᳑Õᳬ݅Ł⧁ᙹ۵ᨧ݅. ᯕ۵ᖁၶ᮹ᬕ⧎ᨱᩢ⨆ᮥၙ⊹۵
ᗭaᖁ᳦ᯕӹࠥᖁᔍ᮹Ğ⨹ၰḡᩎᱢᯙ✚ᖒᯕๅᬑv⦹အಽ
ᯝťᱢᮝಽđᱶࢁᙹᯩ۵ᔍ⧎ᯕᦥܩ໑, ᳦᳑ᖒ܆ᮡᯕುᱢᯙ
ĥᔑđŝ᪡ࠥฯᮡ₉ᯕaᯩʑভྙᯕ݅(ࠥᖁᔍ⩲⫭). ə్ӹ
⧎ĥԕᨱᕽᖁၶ᮹ᬕ⧎ᗮࠥ۵᧞15י✙ᯕ⦹᮹እƱᱢᱢᮡ
ჵ᭥᮹Ǎeԕᨱᯩᮝ໑, ⇵ᱶႊჶᯕᨕಖŁᅖᰂ⦹ᩍᅕᙹᱢᮝಽ
ᔑᱶࡹࠥƱపᨱݡ⦽ᖁၶ∊࠭ᖅĥᨱ۵ๅᬑᮁᬊ⧁äᮝ ಽ ❱݉ࡽ݅. ᯕ۵ ᖁၶ᮹ ∊࠭ಆŝ ∊࠭ᨱթḡ ᔑᱶ ᗮࠥ᮹
ᩢ⨆ᯕ ๅᬑ Ⓧʑ ভྙᯕ݅.
Pedersenᮡ ᖁၶ᮹ ᬕ⧎ᗮࠥಽ ⧎ԕᗮࠥ᪡ ᔍᬊᗮࠥෝ bb
6~8 י✙, 10~15י✙ಽᱶ᮹⦹ᩡᮝ໑, Great Belt Bridge Project ᨱᕽᖁၶ᮹ᬕ⧎ᗮࠥෝ10י✙ಽ⦹ᩍᖁၶ∊࠭ᖅĥᨱᱢᬊ⦹ᩡ
݅. ǎԕᨱᕽ۵ḡႊ⧕᧲⧎อℎ᮹Łಽ✚ᱶǍeᨱݡ⦽ᱽ⦽ᗮ
ࠥෝȽᱶ⦹Łᯩ۵ߑ, ᯙ⧎ᖁၶ☖⧎Ƚ⊺}ᱶŁᦩ(2010)ᨱ ᕽ۵ᩢ᳦ݡƱ᪡ᯙݡƱෝ⡍⧉⦹۵Ǎᩎ᮹↽ݡᗮࠥෝ12י✙
ᯕ⦹ಽȽᱶ⦹Łᯩᮝӹ, Ʊపᇡɝᨱᕽ۵ⅾ★ᙹ5อ★ᯕᔢ᮹
ᖁၶᮡ10י✙ᯕ⦹, 10อ★ᯕᔢ᮹ᖁၶᮡ7י✙ᯕ⦹ಽᱽ⦽⦹Ł
ᯩ݅. Ų᧲⧎ᮡ⧕ᔢƱ☖šᱽᬕᩢȽᱶᨱᕽ┡ᖁၶ᮹☖⧎ᦩᱥ
ᱡ⧕᪡⧎ಽᔢᱢℕ⩥ᔢႊḡෝ᭥⦽↽ᱡᗮࠥෝ6י✙ಽȽᱶ⦹Ł
ᯩ݅. ᇡᔑ⧎⧎ჶ॒ᨱš⦽Ƚ⊺(2012)ᨱᕽ۵ԉ⧎ݡƱ᪡ᩢࠥݡ Ʊ, ᇡᔑݡƱ, ᇢ⧎ݡƱᯙɝᨱᕽⅾ★ᙹ500★ᯕ⦹᮹ᯝᇡᩍ~ᖁ
ᮥᱽ⦽༉ुᖁၶ᮹↽Ł⧎⧪ᗮಆᮥ8י✙ᯕ⦹ಽᱽ⦽⦹Ł
ᯩ݅. ⠪┾ݚḥ⧎ᮡ⧎ĥԕ⧎⧪ᖁၶ↽Łᗮಆᱽ⦽ᨱš⦽Ł
(2012)ᨱᕽᕽ⧕ݡƱa⡍⧉ࡽ⧕ᩎ᮹↽Łᗮಆᮥ8י✙ᯕ⦹ಽ
ᱽ⦽⦹Łᯩ݅. ᩍᙹ⧎ᮡ⧕ᔢƱ☖šᱽᬕᩢȽᱶ(2010)ᨱᕽŲ᧲
ݡƱa ⡍⧉ࡽ ⧕ᩎᮥ ᬕ⧎⦹۵ ᖁၶ᮹ ↽ݡᗮಆᮥ 12י✙(݉,
᭥⨹⪵ྜྷᬕၹᖁᮡ10י✙ᯕ⦹)ಽȽᱶ⦹Łᯩᮝ໑, ↽ᗭᗮಆᮥ
6י✙ಽ Ƚᱶ⦹Łᯩ݅. ༊⡍⧎ᮡ⧎อᖅᬕᩢᖙ⊺(2012)ᨱᕽ
༊⡍ݡƱa⡍⧉ࡽ⧕ᩎ᮹↽Łᗮࠥෝ12י✙ᯕ⦹ಽȽᱶ⦹Ł
ᯩᮝ໑, ༊⡍ݡƱᇡɝŝzᯕᖁၶ☖⧎ᯕၡḲ⦹۵ᙹᩎᨱᕽ۵
ᦩᱥᬕ⧎ᨱ ⦥⦽ šᱽෝ ၼࠥಾ ᳑⊹⦹Ł ᯩ݅.
Ʊపᨱݡ⦽ᖁၶ∊࠭ᮡᖅĥᖁၶ᮹∊࠭ಆᮥƱప⪚ᮡႊ⪙Ǎ
᳑ྜྷᯕčॽᙹᯩ۵ḡašÕᯕʑভྙᨱ ᯝၹᱢᯙݡ⩶ᖁၶᯕ
እƱᱢ᧲⪙⦽ᬕ⧎ᖒ܆ᮥၽ⭹⦹۵ჵ᭥ ԕᨱᕽ᮹↽ᱡᗮࠥa
šᝍ᮹ݡᔢᯕࡽ݅. ǎԕᵝ⧎᮹ᯝၹᱢᯙᬕ⧎ᱽ⦽↽ݡᗮࠥ۵
8~12י✙ჵ᭥ᨱᕽbbđᱶࡹᨩᮝӹ↽ᗭᗮࠥ۵ݡᇡᇥ6י✙
ಽȽᱶ⦹Łᯩᨩ݅. ᅙםྙᨱᕽ۵ᯙݡƱᨱᱢᬊࡽ10י✙ෝ
bb8י✙, 6י✙ಽᱽ⦽⦹۵Ğᬑᨱݡ⦽ၝqࠥᇥᕾᮥTable 16 ŝ zᯕ ᙹ⧪⦹ᩡ݅. ᬕ⧎ᗮࠥ ᱽ⦽ᨱ ∊࠭᭥⨹ᮡ ↽ᗭ
1/5~3/5 qᗭࡹᨩᮝ໑, ᖅĥᖁၶᮡ36.9~64.6%ʭḡqᗭࡹᨩ݅.
ᖁၶ᮹ᬕ⧎ᗮࠥ ᄡ⪵ᨱ ෙၝqࠥa ๅᬑ Ⓧʑভྙᨱ ᯕෝ
⪽ᬊ⦽Ğᱽᱢᯙᖅĥaa܆⦹āᮝӹᖁၶ᮹ ᧲⪙⦽ᵝ⧪ᖒᮥ
⪶ᅕ⧁ ᙹ ᯩࠥಾ 8י✙ ᯕᔢᮥ ᱢᬊ⦹۵ äᮥ ǭᰆ⦹໑, ⨆⬥
Ʊప᮹ᮁḡšญෝ᭥⦹ᩍᇡाᯕ⦽Ğᬑᨱ۵ ᯝᇡݡ⩶ᖁၶᨱ
ݡ⧕ᕽ۵8י✙ᯕ⦹ಽᱢᬊ⦹۵äࠥa܆⧁äᮝಽ❱݉ࡽ݅.
3.7 ंࢼࡦ܄
ᖁၶ∊࠭ᮥȽᱶ⦹Łᯩ۵ᵝʑᵡᨱᕽᩑe❭ƕኩࠥ᮹⨩ᬊʑ ᵡᮡƱపǍ᳑ྜྷᱥℕᨱݡ⧕ᱶ᮹⦹Łᯩᮝ໑⧕ݚ⨩ᬊ⊹ෝƱప
ᇡᗮǍ᳑ྜྷᨱᇥ႑⦹۵äᮡᖅĥᯱ᮹❱݉ᨱෙ݅. AASHTO Guide ᨱᕽ۵ᇡᰍ᮹ᵲࠥ᪡ƱℕእᬊᮥŁಅ⦹ᩍᇥ႑⦹ࠥಾ
ǭᰆ⦹Łᯩᮝ໑, ᯕᖒಽ॒(2006b)ᮡᔍᱥ᭥⨹ࠥ⠪aෝ☖⦽⨩
Table 18. Design Result by Risk Distribution Model Risk
distribution model
AF(×10-4) Design lateral resistance
(MN)
Design vessel (DWT) HP=94.08
(MN)
HP=195.22 (MN) Replacement
cost
6.885 (×1.0)
0.563 (×1.0)
221.59 (102.9%)
128,843 (105.9%) Arithmetic
mean 6.887 0.564 215.29 121,621 Preliminary
risk assessment
6.885 (×1.0)
0.563 (×1.0)
208.98 (97.1%)
114,596 (94.2%)
ᬊʑᵡᇥ႑༉ߙᮥᱽᦩ⦹ᩡ݅. ᅙםྙᨱᕽ۵Ʊℕእᬊŝᔍᱥ
᭥⨹ࠥ⠪aෝ☖⦽ႊჶəญŁࢱaḡႊჶᮥᔑᚁ⠪Ɂ⦽Ğᬑᨱ
ݡ⦽᭥⨹ࠥᇥᕾᮥᙹ⧪⦹ᩡ݅. Table 17ᮡםྙᨱᱢᬊࡽᇥ႑༉
ߙᯕ໑, Table 18ᮡᇥ႑༉ߙᨱෙ᭥⨹ࠥᇥᕾđŝ۵ӹ┡ԙ
äᯕ݅. ᇥ႑༉ߙ᮹ᄡ⪵ᮉᯕ15% ᱶࠥᯙäᨱእ⦹ᩍෙ᭥⨹ࠥ
ᇥᕾđŝ۵ᖅĥᖁၶᯕ6.0% ᱶࠥಽ᳑ᔍࡹᨕƱℕእᬊᯕӹᔍᱥ
᭥⨹ࠥ⠪a॒ŝzᯕŖ⦺ᱢᮝಽ┡ݚ⦽ႊჶᯕᔍᬊࡽ݅໕ḡ႑ ᱢᯙ ᩢ⨆ᮥ ၙ⊹۵ ᗭ۵ ᦥܭ äᮝಽ ❱݉ࡽ݅.
4. đು
ᅙᩑǍᨱᕽ۵2010֥ᖁၶᬕ⧎ߑᯕ░ෝᔍᬊ⦹ᩍᯙݡƱ᮹