ᱧผㇺᏒ㒐ἴ⺰ᢥ㓸Vol.4 2010 ᐕ 7
ᢥൻ⽷⢛ᓟᢳ㕙ߩቯ⸘▚ߦ↪ࠆᒝᐲቯᢙߦߟߡ
̆ቶౝታ㛎ߦࠃࠆၮ␆⊛⎇ⓥ̆
A fundamental study on the shear strength parameters for stability diagnostics
of a slope behind a cultural asset
Ꮉ㇚ᄦ
1㈬൬৻ᚑ
2㑐⋡ቄ੫
3ᷓᎹ⦟৻
4Ikuo Yasukawa, Kazunari Sako, Sueaki Sekime, Ryoichi Fukagawa
ખ⍫㗅ሶ
5⍹↰ఝሶ
6㉿⍮ᤘ
5Junko Nakaya, Yuko Ishida and Tomoaki Satomi
1ᩣᑼળ␠ࠛࠬᛛⴚ㘈㧔ޥ600-8133 ੩ㇺᏒਅ੩৾᧦ㅢട⨃Ꮉ╭Ⓑ⩄↸458㧕
Engineering Adviser, Asia Civil Engineering Co,LTD
2┙㙚ᄢቇ․⡜ಎᢎ ┙㙚ࠣࡠࡃ࡞ࠗࡁࡌ࡚ࠪࡦ⎇ⓥᯏ᭴㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕
Associate Professor, Global innovation research organization, Ritsumeikan University
3ᩣᑼળ␠ᄢᨋ⚵㧔ޥ105-0001 ᧲੩ㇺ᷼⯥ࡁ㐷2-2-5 หㅢାળ㙚㧕
CHEMICAL GROUTING CO.LTD
4┙㙚ᄢቇᢎ ㇺᏒࠪࠬ࠹ࡓᎿቇ⑼㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕
Professor, Dept. of Civil Engineering, Ritsumeikan University
5┙㙚ᄢቇᄢቇ㒮ඳ჻⺖⒟ᓟᦼ⺖⒟ ℂᎿቇ⎇ⓥ⑼✚วℂᎿቇኾ㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕
Graduate Student, Ritsumeikan University, Graduate School of Science and Engineering
6᧲ർᄢቇᄢቇ㒮ഥᢎ ⅣႺ⑼ቇ⎇ⓥ⑼㧔ޥ980-8579 บᏒ㕍⪲⨹Ꮞሼ㕍⪲6-6-20㧕
Assistant professor, Tohoku University, Graduate school of Environmental Studies
In Kyoto city, many cultural assets are located near the steep slopes, so preserving these cultural assets from slope disaster due to rainfall is very important. However, mechanism of slope failure is not clearly understood since we need to know the shear strength properties of soil in a slope behind a cultural asset. Therefore, a soil specimen is conducted to model the local soil conditions in the slope, and then a direct shear test is performed. In this paper, the results of direct shear test are presented, and the stability diagnostics of the slope using an inverse analysis by the shear test’s results are discussed. Moreover, the measures against a field measurement are performed through this paper.
Key Words: steep slope failure, shear strength parameter, degree of saturation, ground water, cultural assets 㧝㧚ߪߓߦ ᣣᧄߩ␠㑑ߪޔ↸ߩᒻᚑㆊ⒟߿ᒻ⊛ⷐ࿃߆ࠄጊ߿ਐ㒺߆ߘߩ⵿㊁ߦᒛࠅઃߊࠃ߁ߦᑪ⸳ߐࠇߡ ࠆߎߣ߇ᄙޕߘߩߚޔ㊀ⷐߥᢥൻㆮ↥ߩ⢛ᓟ߇ᕆᢳࠍߥߔ߇ࠄࠇࠆޕ ᢳ㕙ߩ፣უߪޔ⍾⋚ߩ႐วߢߪޟߔߴࠅޠߣᕆᢳߥߤߩޟ፣უޠߦಽ㘃ߐࠇࠆޕߔߴࠅߪޔ ⾰߿ᒻ⊛ߥⷐ࿃ߦᡰ㈩ߐࠇࠆߎߣ߇ᄙߊޔෂ㒾ᕈߩ੍᷹߇ኈᤃߢࠅޔ➅ࠅߒߎࠆߎߣ߽ᄙߚޔ ޟߔߴࠅޠᏪ߹ߚߪᒻߣࠃ߫ࠇࠆߣߎࠈߦ㊀ⷐߥᢥൻㆮ↥߇┙ߔࠆߪߥߣ⸒߃ࠆޕߎࠇߦኻߒޔ ᕆᢳߪ⋚߇⦟ߚޔੱᎿ⊛ߦㅧᚑߐࠇࠆ႐ว߽ᄙߊޔ⥄ὼᢳ㕙ߢߞߡ߽ቯߒߡࠆߣ್ᢿߐࠇ ࠆߚޔᕆᢳᒻߩਅߦᢥൻㆮ↥߇┙ߔࠆߪᄙޕᕆᢳ╬ߩ፣უࡔࠞ࠾࠭ࡓߪޔᧂߛቢోߦ⸃
ߐࠇߡ߅ࠄߕޔ፣უߩ੍᷹ߪ⁁ߢߪ㔍ߒޕ⁁ߢߪޔㆊߩᢳ㕙፣უߣ㒠㔎ᒝᐲߩ㑐ଥߦၮߠߚ 㒠㔎ᖱႎߦࠃࠆᢳ㕙፣უߩෂ㒾ᕈ⹏ଔࠍታᣉߒޔ᳃ߩㆱ㔍߿〝㋕ߩㅢㆇⴕⷙࠍⴕߞߡࠆޕ ߒ߆ߒޔߎࠇࠄߩෂ㒾ᕈߩ್ቯᴺ߿፣უߩ੍᷹ᴺߦߪജቇಽ㊁ߩ⽸₂ߢ߈ߥ߹߹᧪ߡ߅ࠅޔ㐳㑆ߩ⋚ ߩኾ㐷ኅߩᄢ߈ߥ⺖㗴ߣߥߞߡࠆޕ ᢳ㕙፣უߪജቇ⊛ߥቯ߇ߡߥߊߥߞߚߣ߈ߦ፣უߔࠆߎߣ߆ࠄޔߘߩᢳ㕙ࠍ᭴ᚑߔࠆߩᒝᐲቯᢙࠍ ⊛⏕ߦߟ߆ߎߣ߇㊀ⷐߢࠆޕߒ߆ߒޔᒝᐲߩ⹏ଔߦ߅ߡޔߊߟ߆ߩ࿎㔍ߥ⺖㗴߇⸃ߢ߈ߕߦផ⒖ ߒߡ߈ߚޕߘߩ⺖㗴ߪᰴߩࠃ߁ߥߎߣ߇⠨߃ࠄࠇߡࠆޕ Ԙ 㒠㔎ᤨߩᢳ㕙፣უߢߪޔߔߴࠅෘߐ߇ᢙචcm㨪ᢙ㨙⒟ᐲߩጀߔߴࠅဳ፣უ߇ᄙޕጀߔߴࠅဳ፣უ ߩේ࿃ߩ৻ߟߦޔ㔎᳓ߩᶐㅘߦ߁ߖࠎᢿᒝᐲቯᢙߩ৻ߟߢࠆដߌߩ☼⌕ജߩૐਅ߇ߍࠄࠇࠆޕ ߘߎߢޔ㒠㔎ᤨߩᢳ㕙ߩቯᕈߦߟߡᬌ⸛ߔࠆߚߦߪޔ⋚ߩ᳓㊂ߣដߌߩ☼⌕ജߩ㑐ଥࠍ⠨ ᘦߔࠆᔅⷐ߇ࠆޕ ԙ ㅢᏱޔߖࠎᢿᒝᐲቯᢙ㧔ដߌߩ☼⌕ജc ߣౝㇱᡂⷺ Ǿ㧕ࠍ᳞ࠆߚߦታᣉߐࠇࠆߖࠎᢿ⹜㛎ߦ߅ ߌࠆု⋥ᔕജߪޔ100ޔ200ޔ300kPa ⒟ᐲߢࠆޕߒ߆ߒޔጀߔߴࠅဳ፣უߢߪޔߔߴࠅ㕙ߦ↪ߔࠆ ⵍࠅෘߐߦࠃࠆု⋥ᔕജߪචᢙkPa ߢࠆޕࠃߞߡޔጀߔߴࠅဳ፣უߦߟߡቯ⸃ᨆࠍⴕ߁ߚ ߦߪޔૐ᜔᧤᧦ઙਅߦ߅ߌࠆߖࠎᢿ⹜㛎ߩታᣉ߇ᔅⷐߢࠆޕ Ԛ ᢳ㕙ጀㇱߩࠍੂߐߕߦណขߔࠆߎߣߪ࿎㔍ߥߚޔ߆ࠄੂߒߚ⁁ᘒߢណขߒޔቶౝߢߣห ߓ⁁ᘒߦߒߡߖࠎᢿ⹜㛎ࠍⴕ߁߇ޔᦨೋߩടߢ⹜ᢱ߇ኒߐࠇޔߣߪ⇣ߥࠆኒᐲߩ⁁ᘒߢߖࠎᢿ ߔࠆߎߣߦߥࠆߚޔቯ⸘▚ߦ↪ࠆᒝᐲቯᢙߩ⹏ଔߦ⺖㗴߇ᱷߞߡࠆޕ ߎࠇ߹ߢߦ⪺⠪ࠄߪޔԘԙߦߟߡߪߘߩၮ␆⊛ߥ⎇ⓥࠍⴕߞߡ߈ߚ 1)ޕᧄ⺰ᢥߢߪޔߔߢߦⴕߞߚԘԙ ߩౝኈߦߟߡߘߩⷐࠍ⚫ߒߚᓟޔԚߩ㗴ߩ⸃ߦะߌߚߖࠎᢿ೨ߩߩኒᐲࠍ⠨ᘦߒߚߖࠎᢿ⹜㛎 ⚿ᨐߣࠃࠅታോߢታᣉߒ߿ߔߖࠎᢿᒝᐲቯᢙߩ⹏ଔᣇᴺߦߟߡឭ᩺ߔࠆޕ ⋚ߩߖࠎᢿᒝᐲቯᢙࠍ◲න߆ߟ♖ᐲ⦟ߊ⹏ଔߔࠆߎߣ߇น⢻ߣߥࠇ߫ޔᢳ㕙ἴኂ߆ࠄᢥൻ⽷߿ⷰశቴޔ ᓥᬺຬࠍࠆߚߩലᨐ⊛ߥἴኂኻ╷ࠍ┙ߡࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆޕ 㧞㧚⹜㛎ⵝ⟎߅ࠃ߮⹜ᢱߩⷐ ⹜㛎⹜ᢱ ╙1 ▵ߢ␜ߒߚԘԙߩ⸃ߩߚߩታ㛎ߦ↪ߚ⹜ᢱߦߟߡ⺑ߔࠆޕ⥄ὼ⋚ߩᒝᐲࠍផቯߔࠆߦߪ ߆ࠄਇᡬੂ⹜ᢱࠍណขߒߡߖࠎᢿ⹜㛎ࠍⴕ߁ߩ߇ᦸ߹ߒޕߒ߆ߒޔᕆᢳߢጀߩਇᡬੂ⹜ᢱߩណ ขߪ࿎㔍ߢࠆߚᡬੂ⹜ᢱࠍߩ⁁ᘒࠍౣߔࠆࠃ߁ߦ✦࿕ߡߖࠎᢿ⹜㛎ߩଏ⹜ࠍߒߚޕ ߩ⁁ᘒࠍᛠីߔࠆߚޔᡬੂ⹜ᢱࠍᷓߐ50ޔ80ޔ110cm ߆ࠄណขߒߚޕᡬੂ⹜ᢱࠍ↪ߚߩ‛ℂ⊛ᕈ⾰ࠍ ᳞ࠆߚߩ⾰⹜㛎⚿ᨐࠍ 1 ߦ␜ߔޕ ߹ߚޔኻ⽎ᢳ㕙ߦ߅ߡޔߔߴࠅ㕙ࠍᗐቯߔࠆߚߦ◲ᤃࠦࡦ⽾⹜㛎ࠍታᣉߒߚޕߘߩ⚿ᨐޔᷓᐲ80cm ߣ110cm ߦ߅ߌࠆᒝᐲ߇ቯࠍᡰ㈩ߔࠆߣ⠨߃ࠄࠇࠆߚޔߎߩ 2 ߟߩᷓᐲߩ⹜ᢱߦ㑐ߔࠆ⹏ଔࠍⴕ߁ߎߣ ߣߒߚޕߎߩ2 ߟߩ⹜ᢱߪޔߢߪ߅ࠃ ߘ⥄ὼ᳓Ყw ߇⚂ 20%ߢࠅޔ㘻ᐲ Sr ߪ70%೨ᓟࠍ␜ߒޔ㑆㓗Ყ e ߢ 0.8 ೨ᓟߢ ߞߚޕ߹ߚޔࠦࡦࠪࠬ࠹ࡦࠪࠍ␜ߔ႟ ᕈᜰᢙIpߪޔ20 એࠍ␜ߒޔᲧセ⊛ޔ႟ᕈ ߩ㜞☼ᕈߢߞߚޕࠨࡦࡊ㧔ౝᓘ 5cm㜞ߐ 5cm㧕ߢណขߒߚਇᡬੂ⹜ᢱ߆ ࠄᓧࠄࠇߚḨẢኒᐲߪޔ 1 ߦ␜ߔࠃ߁ߦ ȡt= 1.8g/cm3೨ᓟߢࠅޔੇ῎ኒᐲߪޔȡd = 1.5g/cm3ߢߞߚޕ߹ߚޔㅜណขߒߚ⹜ ᢱߢ✦࿕⹜㛎ࠍⴕߞߚ⚿ᨐޔJIS ߦࠃࠆ ✦࿕⹜㛎ߩૐᣇߩࠛࡀ࡞ࠡߢ✦࿕ ߚ႐วޔᦨᄢੇ῎ኒᐲ ȡdmax 㧩 1.7g/cm3ޔ ᦨㆡ᳓Ყ18%⒟ᐲߢߞߚޕߎߩߎߣ߆ 1 ⾰⹜㛎⚿ᨐ ⹜ᢱᷓߐ㧔cm㧕 50 80 110 ᳓Ყw 㧔%㧕 18.4 20.5 20.6 ☸ሶኒᐲȡs㧔g/cm3㧕 2.606 2.634 2.656 ḨẢኒᐲȡt㧔g/cm3㧕 1.581 1.753 1.839 ੇ῎ኒᐲȡd㧔g/cm3㧕 1.335 1.454 1.525 㑆㓗Ყe 0.95 0.81 0.74 㘻ᐲSr㧔%㧕 50.5 66.8 74.0 ᶧᕈ㒢⇇wL㧔%㧕 97.5 47.0 57.0 ႟ᕈ㒢⇇wP㧔%㧕 NP 17.7 16.8 ႟ᕈᜰᢙIP 㧙 29.3 40.2 ᦨᄢੇ῎ኒᐲȡd㧔g/cm3㧕 1.774 1.704 1.737 ᦨㆡ᳓Ყwopt㧔%㧕 16.5 18.5 18.0 ㅘ᳓ଥᢙ kT㧔cm/s㧕 7.50×10-3 6.50×10-4 1.60×10-6
ࠄޔታ㛎ߦ↪ࠆଏ⹜ߢߩ⁁ᘒߦࠊߖ ߚኒᐲࠍᓧࠆߦߪ✦࿕ࠛࡀ࡞ࠡߪ߆ߥࠅዊߐߊ ߔࠆᔅⷐ߇ࠆߎߣ߇ࠊ߆ࠆޕ ߹ߚޔ╙1 ▵ߢ␜ߒߚԚߩ⸃ߩߚߩታ㛎ߦ↪ ߚ⹜ᢱߪޔ0.85mm ࠍㅢㆊߒߚାᭉ↥ࡑࠨ㧔 ☸ሶኒᐲȡs㧩2.656g/cm3㧕ࠍ↪ߚޕ ৻㕙ߖࠎᢿ⹜㛎ߩⷐ ᢳ㕙ߩᒝᐲቯᢙࠍ⹏ଔߔࠆߖࠎᢿ⹜㛎ߣߒߡޔዋ ߥ⹜ᢱߢ⹜㛎߇᧪ࠆߎߣޔଏ⹜߇ኈᤃߢ ࠆߎߣޔߖࠎᢿߩࡔࠞ࠾࠭ࡓ߇⏕ߢޔߖࠎᢿᒝ ᐲߩ⹏ଔ߇⋥ធ⊛ߦ᧪ࠆߎߣ╬ࠍ⠨ᘦߒޔ৻㕙ߖ ࠎᢿ⹜㛎ࠍ↪ߚޕ⹜㛎ⵝ⟎ߪ෩ኒߦߖࠎᢿᤨߩ Ⓧᄌൻࠍࠦࡦ࠻ࡠ࡞ߢ߈ࠆߚߦਃゲ❗⹜㛎ߣ╬ଔߩឃ᳓᧦ઙߩ▤ℂ߇น⢻ߥᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ࠍ ↪ߚޕ ৻㕙ߖࠎᢿ⹜㛎ߦ↪ࠆု⋥ᔕജߪޔㅢᏱ100㨪200 kN/m2㧔ㅢᏱ᜔᧤㗔ၞߣߔࠆ㧕ߢࠆޕߒ߆ߒޔ ߎߩജߪⵍࠅෘߐߢ߃߫5㨪6m એߩᷓᐲߦ⋧ᒰߒޔጀߩߖࠎᢿᒝᐲࠍ⹏ଔߔࠆߦߪㆊᄢߢࠆޕ ߘߎߢޔૐ᜔᧤ߦ߽ኻᔕߢ߈ࠆࠃ߁ߦ⹜㛎ⵝ⟎ࠍᡷ⦟ߒޔု⋥ᔕജ߇ 20㨪60kN/m2㧔ૐ᜔᧤㗔ၞ㧕ߩ ᧦ઙਅߢᒝᐲࠍ⹏ଔߢ߈ࠆࠃ߁ߦߒߚޕ߹ߚޔ㕙ߩᒝᐲࠍ⹏ଔߔࠆߚߦߪޔߎߩૐ᜔᧤ߢ߽ု⋥ᔕ ജ߇ᄢ߈ߔ߉ࠆߚޔ․ߦᎿᄦߐࠇߚⵝ⟎ࠍ↪ߡ 1.0㨪3.1 kN/m2㧔ૐ᜔᧤㗔ၞ㧕ߩု⋥ജߢ߽⹜ 㛎ࠍⴕޔᒝᐲ․ᕈࠍ⺞ߴߚޕ ࿁ߩ৻ㅪߩታ㛎ߦ↪ߚᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ᯏࠍ౮⌀ 1 ߦޔԙߩ⸃ߦ↪ߚૐ᜔᧤⹜㛎ᯏࠍ౮ ⌀ 2 ߦ␜ߔޕ౮⌀ 1 ߩᏀޔ౮⌀ 2 ߩਛᄩㇱߩ▫ဳߩ߽ߩ߇⋥ᓘ 6cmޔෘߐ 2cm ߩଏ⹜ࠍ⚊ߚߖࠎᢿ▫ ߢࠆޕߖࠎᢿ▫ߪޔෘߐ2cm ߩଏ⹜ߩਛᄩߢߖࠎᢿࠍⴕ߃ࠆࠃ߁ߦਅߦಽഀߐࠇߚኈེߢࠆޕ ᕆᢳ㕙ߩ፣უߪޔߩലᔕജ⁁ᘒߢᒝᐲࠍ⹏ଔߔࠆߎߣ߇ᔅⷐߥߚޔߖࠎᢿ⹜㛎ߩଏ⹜ߩឃ᳓ ᧦ઙࠍኒឃ᳓ߖࠎᢿ᧦ઙߣߒߚޕߎߩ᧦ઙߩ৻㕙ߖࠎᢿ⹜㛎ߪޔኒቯߖࠎᢿ⹜㛎ߣߥࠅޔߖࠎᢿਛߦ ㆊ㑆㓗᳓߇⊒↢ߒߥࠃ߁ߦߔࠆߚޔߖࠎᢿㅦᐲࠍ↪ߒߚߖࠎᢿ⹜㛎ᯏߢᦨ߽ㆃ0.1mm/min ߣߒ ߚޕ߹ߚޔ᳓ᐔߖࠎᢿᄌ8mm ߢ⹜㛎ࠍ⚳ੌߒߚޕ 2 ߦԘԙߩ⸃ߢណ↪ߒߚ⹜㛎᧦ઙࠍ␜ߔޕߎߎߢߪޔૐ᜔᧤᧦ઙ㧔ု⋥ᔕജ 20ޔ40ޔ60kPa㧕ਅߢޔ ߐࠄߦଏ⹜ߩ㘻ᐲ߇ 60ޔ80ޔ100%ߩ႐วߦ߅ߌࠆኒቯߖࠎᢿ⹜㛎ߣ᜔᧤߇ㅢᏱ᜔᧤㧔100ޔ 150kPa㧕ޔૐ᜔᧤㧔20ޔ40ޔ60kPa㧕ޔૐ᜔᧤㧔1ޔ1.7ޔ2.4kPa㧕᧦ઙਅߦ߅ߡޔ㘻ᐲ 100%ߩଏ ⹜ࠍ↪ߒߚ႐วߩኒቯߖࠎᢿ⹜㛎ࠍⴕߞߚޕ ߹ߚޔԚߩ⸃ߢߪޔㅢᏱ᜔᧤㧔100ޔ150ޔ200kPa㧕ߢ⹜㛎ࠍⴕߞߚޕଏ⹜ߦߚߞߡߪޔ⹜ᢱ ߇⸳ቯ㘻ᐲ߹ߚߪ᳓Ყߦߥࠆࠃ߁ട᳓ߒߡ⺞ᢛ㧔᳓߇චಽߥߓࠃ߁࠲࠶ࡄߦࠇߡ2 ᣣ㑆㙃↢㧕ߒ 2 ⹜㛎᧦ઙ ↪⹜ᢱណขᷓᐲ㧔cm㧕 ⸳ቯ㘻ᐲ Sr (%) ណ↪ု⋥ᔕജ㧔kPa㧕 ↪⹜ᢱណขᷓᐲ㧔cm㧕 ⸳ቯ㘻ᐲ Sr (%) ㅢᏱ᜔᧤ 100, 150, ૐ᜔᧤ 20, 40, 60 ૐ᜔᧤ 1, 1.7, 2.4, 100 ណ↪ု⋥ᔕജ㧔kPa㧕 ૐ᜔᧤᧦ઙ㧔27ࠤࠬ㧕 50, 80, 110 60, 80, 100 20, 40, 60 ᜔᧤᧦ઙߩ⋧㆑ߦࠃࠆߖࠎᢿ․ᕈ㧔10ࠤࠬ㧕 110 ౮⌀1 ᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ᯏ ౮⌀2 ૐ᜔᧤ဳ৻㕙ߖࠎᢿ⹜㛎ᯏ ߖࠎᢿ▫ ߖࠎᢿ▫
ߚޕߘߒߡޔ⸳ቯߒߚ㑆㓗Ყߦߔࠆߚߦ੍⹜ᢱߩ⾰㊂ࠍ⸘㊂ߒޔߘߩ㊂ࠍߖࠎᢿ▫ߦෘߐ2cm ߦ⚊߹ ࠆࠃ߁✦࿕ߡᢛᒻߒߚޕ✦࿕ߩ೨ߦ᳓⺞ᢛࠍߒߡࠆߚޔ⸳ቯ᧦ઙߩଏ⹜ߦߔࠆߚߩ✦࿕ߩ ࠛࡀ࡞ࠡߪޔߘࠇߙࠇߩ᧦ઙߦ߅ߡหߓߦߪߥࠄߥޕ 㧟㧚ߖࠎᢿᒝᐲߩ⹏ଔߦ߅ߌࠆ᳓ಽ․ᕈߩᓇ㗀 ߪޔਅ᳓㕙ࠃࠅߦࠆ႐วޔਇ㘻ߩ⁁ᘒߦࠆޕਇ㘻ߩ⁁ᘒߢߪ㑆㓗ౝߩ᳓ߩ㕙ᒛജߢࠨࠢ ࡚ࠪࡦߣ߁⽶߇ߊޕߘࠇߪ☸ሶࠍߦᒁ߈ߟߌࠆ↪ࠍ߷ߔߚޔ☸ሶ㑆ߦലᔕജߣߒߡ ↪ߔࠆߎߣߦߥࠅޔߖࠎᢿᒝᐲࠍჇടߐߖࠆലᨐࠍ⊒ើߔࠆޕណขߒߚ⹜ᢱ߇ߤߩ⒟ᐲߩࠨ࡚ࠢࠪࡦࠍ ߔࠆ߆ࠍ᷹ቯߒߚ⚿ᨐ߇࿑1 ߢࠆޕ࿑ 1 ߪߩ᳓ᕈࠍߔᦛ✢ߢ߽ࠆޕᷓὐߦࠆ⹜ᢱ߶ߤ㧘⚦ ☸ಽ߇ᄙߊ߹ࠇߡߚߚޔߩ᳓ᕈ߇㜞ߎߣ߇ࠊ߆ࠆޕ߹ߚޔ⹜㛎ߩๆ᳓ឃ᳓ㆊ⒟ߦ߅ߌࠆࡅࠬ ࠹ࠪࠬ߇ࠄࠇࠆޕ ߹ߕޔૐ᜔᧤᧦ઙ㧔ု⋥ᔕജ20ޔ40ޔ60kPa㧕ਅߢޔߐࠄߦଏ⹜ߩ㘻ᐲ߇ 60ޔ80ޔ100%ߩ႐วߦ߅ ߌࠆኒቯߖࠎᢿ⹜㛎ߩ⚿ᨐࠍ࿑2 ߦ␜ߔޕ࿑ 2 ߪߖࠎᢿ⹜㛎ߦࠃࠅᓧࠄࠇߚࠢࡠࡦߩ⎕უ✢ߩု⋥ᔕ ജ߇ࡠߩߣ߈ߩߖࠎ ᢿᔕജߢࠆដߌߩ ☼⌕ജc ߣଏ⹜ߩ㘻 ᐲߩ㑐ଥࠍ␜ߔޕ㘻 ᐲ߇㜞ߊߥࠆ߶ߤޔ ដߌߩ☼⌕ജc ߪૐ ਅߒߡࠆߎߣ߆ࠄޔ ࠨ࡚ࠢࠪࡦߩᓇ㗀߇⠨ ߃ࠄࠇࠆޕ ߹ߚޔଏ⹜ߩ㘻 ᐲߣౝㇱᡂⷺ Ǿ ߩ 㑐ଥࠍ࿑3 ߦ␜ߔޕ࿑ 3 ߢߪ㘻ᐲ߇ 80%ߩ ⁁ᘒߢ߆ߥࠅ߫ࠄߟ ߡࠆ߇ޔะߣߒߡ ౝㇱᡂⷺߪ㘻ᐲߩ ᓇ㗀ࠍฃߌߥߣ್ᢿ ߢ߈ࠆޕ 㧠㧚᜔᧤ߩߖࠎᢿ ᒝᐲ߳ߩᓇ㗀 ㆊߩ፣უࠍߺ ࠆߣޔᕆᢳߢߩ፣ უᒻᘒߪޔጀߔߴࠅ 㧔ᢙචcm㨪ᢙ m ߩߔ ߴࠅෘߐ㧕߇ᄙޕߒ ߆ߒޔᓥ᧪ߩᢳ㕙ቯ ⸃ᨆߦ↪ࠄࠇࠆߖࠎ ᢿᒝᐲࡄࡔ࠲ߪޔጀߩ߆߱ࠅࠃ ࠅ߽ߪࠆ߆ߦᄢ߈ߥ᜔᧤ߢ᳞ࠄࠇߡ ࠆ႐ว߇ᄙޕߘߎߢޔ᜔᧤߇ㅢᏱ᜔᧤ 㧔100ޔ150ޔ200kPa㧕ޔૐ᜔᧤㧔20ޔ 40ޔ60kPa㧕ޔૐ᜔᧤㧔1ޔ1.7ޔ2.4kPa㧕 ࿑1 ฦᷓᐲߩ⹜ᢱߩ᳓ಽ․ᕈᦛ✢ EOឃ᳓ EOๆ᳓ EOឃ᳓ EOๆ᳓ EOឃ᳓ EOๆ᳓ ࠨࠢ ࠪ ࡚ ࡦ U W M2 C 㘻ᐲ5T ࿑2 㘻ᐲߣ߆ߌߩ☼⌕ജߩ㑐ଥ ࿑ 4 ᜔᧤ߩᐢ▸࿐ߢߺߚࠢࡠࡦߩ ⎕უ✢ߩ㆑ ࿑ 3 ૐ᜔᧤⁁ᘒߢߩߖࠎᢿߦ߅ߌࠆ 㘻ᐲߣౝㇱᡂⷺߩ㑐ଥ ᷓߐEO ᷓߐEO ᷓߐEO ౝㇱ ᡂⷺ Ǿq 㘻ᐲ5 T ᷓߐEO ᷓߐEO ᷓߐEO ដߌߩ☼ ⌕ജE M 2C 㘻ᐲ5 T 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 ૐ᜔᧤ဳ ૐ᜔᧤ဳ ㅢᏱ᜔᧤ဳ 䈞䉖 ᢿᔕജ 㩷㱠 㩷㩿㫂 㪧 㪸㪀 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 3 ᜔᧤ߩ㆑ߦࠃࠆǾߩ୯ ⹜ᢱᷓߐ(cm) ᜔᧤ ૐ᜔᧤ဳ ૐ᜔᧤ဳ ㅢᏱ᜔᧤ဳ ⸳ቯ㘻ᐲSr(%) 䈎䈔䈱☼⌕ജc (kPa) 0 0 5 ౝㇱᡂⷺǾ (deg.) 29.8 20.2 16 110 100
᧦ઙਅߦ߅ߡޔ㘻 ᐲ 100%ߩଏ⹜ࠍ ↪ߒߚ႐วߩኒቯ ߖࠎᢿ⹜㛎ࠍⴕߞߚޕ ⹜ ᢱ ߣ ߒ ߡ ޔ ᷓ ᐲ 110cm ߩࠍ↪ߚޕ ⹜㛎ߦࠃࠅᓧࠄࠇߚࠢ ࡠࡦߩ⎕უ✢ࠍ࿑ 4 ߦ␜ߔޕ ߎߎߢޔࠢࡠࡦߩ ⎕უ✢ߩ߈ߢࠆౝ ㇱᡂⷺ Ǿ ߦ⌕⋡ߒ ߡޔ᜔᧤ߩ㆑ߦࠃ ࠆᓇ㗀ࠍᬌ⸛ߒߚޕ 3 ߪ࿑ 4 ߩ⚿ᨐ߆ࠄᓧࠄࠇߚ Ǿ ߩ୯ࠍ␜ߒߡࠆޕߎࠇࠄߩ⚿ᨐ ࠃࠅޔ᜔᧤߇ᄢ߈ߊߥࠆߦߟࠇߡౝㇱᡂⷺ߇ዊߐߊߥࠆߎߣ ߇ࠊ߆ߞߚޕૐ᜔᧤ਅߢᓧࠄࠇߚౝㇱᡂⷺǾ ߪ 29.8°ߣᦨ ߽ᄢ߈ߊޔૐ᜔᧤᧦ઙਅߢߪǾ=20.2°ޔc = 0kPa ߢࠅޔߖࠎ ᢿ⹜㛎ਛߩߩേ߇ᱜⷙኒ㗔ၞߩߣหߓะࠍ␜ߒߚޕߎ ࠇߦኻߒޔㅢᏱ᜔᧤᧦ઙߢߪޔǾ=16.0°ޔc = 5.0kPa ߣᓧࠄࠇޔ ౝㇱᡂⷺ߇ઁߩ᧦ઙߦᲧߴޔ߆ߥࠅૐ୯ࠍ␜ߒߚޕ߹ߚޔߖ ࠎᢿ⹜㛎ߩᦨೋߦⴕࠊࠇࠆኒㆊ⒟ߦ߅ߌࠆ㑆㓗Ყߩᄌൻࠍ࿑ 5 㨪࿑7 ߦ␜ߔޕኒቯߖࠎᢿߢߪޔ࿑ 5ޔ࿑ 6 ߢ␜ߔࠃ߁ߦᦨ ೋߩኒߢଏ⹜ߩ㜞ኒᐲൻ߇↢ߓޔㅢᏱ᜔᧤㧔ု⋥ᔕജ100ޔ 150ޔ200kPa㧕߿ૐ᜔᧤ߢߪߖࠎᢿᤨߦߩߖࠎᢿࠍౣߒߡ ߥน⢻ᕈ߇ࠆޕ৻ᣇޔ࿑7 ߦ␜ߔࠃ߁ߦޔૐ᜔᧤㧔1ޔ 1.7ޔ2.4kPa㧕ߢߪᦨೋߩኒㆊ⒟ߢߪኒ߇߶ߣࠎߤ↢ߓߡߥ ߚޔߩߖࠎᢿࠍౣߒߡࠆน⢻ᕈߪ㜞ߣ⠨߃ࠄࠇࠆޕߒ߆ߒޔૐ᜔᧤᧦ઙਅߩ⹜㛎ⵝ⟎ߢ ߪޔᢅᗵߥࡦࠨࠍ↪ߡࠆߚޔ⍍㑆⊛ߥ࿅☸⁁ߩ☸ሶߩ⎕უ߿ߖࠎᢿ▫ធ⸅㕙ߩᡂߥߤߩᓇ㗀ࠍฃ ߌ߿ߔ߽ߩߣ⠨߃ࠄࠇࠆޕ એߩࠃ߁ߦޔ৻㕙ߖࠎᢿ⹜㛎ߢߪޔቯߖࠎᢿࠍⴕ߁႐วޔᦨೋߦቯߩኒࠍⴕ߁ߚ⹜ᢱߩኒ߇ ↢ߓߡߒ߹߁ޕኒᓟߩኒᐲ㧔㑆㓗Ყ㧕߇ߩ㑆㓗Ყߦวࠊߖࠆߎߣ߇ߢ߈ࠇ߫ࠃ߇ޔታߩᬺߣߒ ߡߎߩࠃ߁ߥ⺞ᢛߪ࿎㔍ߢࠆޕߘߩߚޔㅢᏱߩ⹜㛎ߢߪޔኒ೨ߩ⹜ᢱߩ㑆㓗Ყࠍߩ㑆㓗Ყߣว ࠊߖߡ߅ࠅޔߖࠎᢿ㐿ᆎᤨߩኒᐲ߇ߩ⁁ᘒߣ߆ߌ㔌ࠇߚ⚿ᨐߣߥߞߡࠆ㗴ࠍήⷞߒߡታ↪ߐࠇߡ ࠆޕߘߎߢޔᧄ⺰ᢥߢߪޔᰴ▵ߢߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყ߆ࠄߖࠎᢿᒝᐲቯᢙࠍផቯߔࠆᣇᴺߦߟߡᬌ⸛ߔ ࠆޕ 㧡㧚ߖࠎᢿ㐿ᆎᤨߩೋᦼ᧦ઙࠍ৻ቯߣߒߚᒝᐲቯᢙߣߘߩ⹏ଔ ߩ⁁ᘒࠍㆡಾߦᤋߒߚᒝᐲቯᢙߪޔߩ 㑆㓗Ყߣหߓ㑆㓗Ყߢߖࠎᢿ⹜㛎ߒߚ⚿ᨐߢࠆ ߎߣ߇ℂᗐ⊛ߣ⸒߃ࠆޕ⎕უᤨߩ㑆㓗Ყࠍหߓߦߪ ߢ߈ߥߣߒߡ߽ߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყࠍหߓߦߢ ߈ࠇ߫วℂ⊛ߥᒝᐲቯᢙߩផቯߦߟߥ߇ࠆޕ ߪޔ☸ሶ߇ኒߦ߹ࠆ߶ߤߘࠇߛߌធ⸅㕙ߩ 㕙Ⓧ߇ᄢ߈ߊߥࠅߖࠎᢿᛶ᛫߇Ⴧ߃ࠆޕߩ⎕უၮ ḰߣߒߡޔCoulomb ߩ⎕უၮḰߦ߅ߌࠆᒝᐲቯᢙ cޔ Ǿ ߇ࠃߊ↪ࠄࠇࠆ߇ޔᢳ㕙ߩቯ⸘▚ߢ↪ࠆ ࿑8 Hvorslev ߩ⎕უၮḰߣ c’ޔǾ’ߩ㑐ଥ3) 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪌 㪈 㪈㪅㪌 㪉 㪉㪅㪌 㪊 㪊㪅㪌 ૐ᜔᧤ဳ㩷ኒ೨ ૐ᜔᧤ဳ㩷ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑7 㑆㓗Ყߩᄌൻ㧔ૐ᜔᧤ဳ㧕 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 ㅢᏱ᜔᧤ဳ㩷ኒ೨ ㅢᏱ᜔᧤ဳ㩷ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑5 㑆㓗Ყߩᄌൻ㧔ㅢᏱ᜔᧤ဳ㧕 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪍㪇 㪎㪇 ૐ᜔᧤ဳ㩷ኒ೨ ૐ᜔᧤ဳ㩷ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑6 㑆㓗Ყߩᄌൻ㧔ૐ᜔᧤ဳ㧕
ലᔕജߦࠃࠆc’ޔǾ’ࠍࠆߣ߈ᱜⷙ ኒ߆ㆊኒ߆ߩࠍᔅⷐߣߔࠆޕ ߟ߹ࠅޔ෩ኒߦᒝᐲቯᢙࠍቯߔࠆߚ ߦߪޔߩ⁁ᘒߩᄌൻޔ․ߦ᳓Ყ ߿㑆㓗Ყߩ᧦ઙࠍࠆᔅⷐ߇ࠆޕ ߘߎߢޔ⎕უᤨߩ㑆㓗Ყߣലᔕജ߆ ࠄᒝᐲቯᢙ߇ࠆߎߣ߇ߢ߈ࠇ߫ว ℂ⊛ߣ߃ࠆޕHvorslev ߪߩߖࠎᢿ ᛶ᛫ߪߖࠎᢿ㕙ߩ㑆㓗Ყߣߘߩ㕙ߦ ߊലᔕജߩ㑐ᢙߣߥࠆߣ߁⠨߃ᣇ ߦၮߠ߈ޔหߓ㑆㓗ᲧߢߩCoulomb ⷙ Ḱߦ߅ߌࠆᒝᐲቯᢙࠍല☼⌕ജceߣ ലᡂⷺǾeߣቯ⟵ߒߚ2)ޕ Coulomb ⷙḰߦ߅ߌࠆᒝᐲቯᢙ c’㧘 Ǿ’ߣ Hvorslev ߩല☼⌕ജ ceߣല ᡂⷺǾeߩ㑐ଥࠍ␜ߒߚߩ߇࿑ 8 ߢ ࠆޕߎߩ Ǿeߪߘߩߩฃߌߚᔕജጁᱧߦነࠄߥߘߩߩ࿕ߩቯᢙߣ⸒߃ࠆޕߟ߹ࠅޔኻ⽎ᢳ㕙ࠍ᭴ ᚑߔࠆߩ࿕ߩᒝᐲ․ᕈߣ⸒߃ࠆ Ǿeࠍቶౝߖࠎᢿ⹜㛎ߦࠃࠅ᳞ޔߩኒᔕജࠍᤋߒߚല☼⌕ ജceࠍේ⟎⹜㛎ߦࠃࠅ⹏ଔߢ߈ࠇ߫ޔࠃࠅ◲ᤃߢㆡಾߥߖࠎᢿᒝᐲቯᢙࠍᓧࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆޕ ߎߩǾeޔceࠍㆡಾߦࠆߎߣ߇น⢻ߢࠆ߆⺞ߴࠆߚޔቯ⊛ߦᚻ߇ߢ߈ࠆାᭉ↥ࡑࠨߢታ㛎ࠍ ⴕߞߚޕ ଏ⹜ߩᚑߣⴕߞߚ৻㕙ߖࠎᢿ⹜㛎 Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߩ⹏ଔࠍⴕ߁ߚޔએ ਅߩcase ߦߟߡታ㛎ࠍⴕߞߚޕ ৻㕙ߖࠎᢿ⹜㛎ߪㅢᏱ᜔᧤⁁ᘒߢޔᰴߩฦ⋧ኻኒ ᐲߩ߽ߣߢޔ⸘27case ߦߟߡኒቯߖࠎᢿ⹜㛎ࠍ ⴕߞߚޕ Case1㧦⋧ኻኒᐲ 0%ޔ ᳓Ყ 5ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa Case2㧦⋧ኻኒᐲ 50%ޔ ᳓Ყ 6ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa Case3㧦⋧ኻኒᐲ 100%ޔ᳓Ყ 7ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa ࿑9 ߦ↪ߚ⹜ᢱߩ✦࿕⹜㛎㧔JIS A 1210㧕⚿ᨐ߅ ࠃ߮ฦ⹜㛎ࠤࠬߩೋᦼ⁁ᘒࠍ␜ߔޕߚߛߒޔ৻㕙ߖ ࠎᢿ⹜㛎ߩଏ⹜ߪJIS A 1210 ߩ⹜㛎ߣߪ✦࿕ࠛࡀ ࡞ࠡߩਈ߃ᣇ߇⇣ߥࠆޕ ⹜㛎⚿ᨐߣ⠨ኤ case1㨪3 ߩታ㛎એᄖߦޔ⋧ኻኒᐲ Dr㧩62.8%ߩ᧦ઙ ߢⴕߞߚ⚿ᨐ߽ട߃ߡ⠨ኤࠍⴕ߁ޕ࿑ 10(a)ޔ(b)ߦߪ ฦ⹜㛎ߩ㑆㓗Ყߣߖࠎᢿᔕജࠍု⋥ᔕജߦࡊࡠ࠶࠻ ߒߚ⚿ᨐࠍ␜ߔޕ࿑ 10(a)ߪኒᓟߩ㑆㓗Ყޔ࿑ 10(b) ߪᦨᄢߖࠎᢿᔕജࠍ␜ߒߚߣ߈ߩ㑆㓗Ყࠍߘࠇߙࠇᮮ ゲߦߣߞߚ߽ߩߢࠆޕ࿑10(b)ߩᦨᄢߖࠎᢿᔕജᤨߩ 㑆㓗Ყߪߖࠎᢿਛߦ᷹ቯߐࠇߡࠆߖࠎᢿᔕജ߇ᦨᄢ ߣߥࠆᤨߩု⋥ᄌ߆ࠄⓍࠍ᳞㑆㓗Ყࠍ⸘▚ߒ 㪈㪅㪉 㪈㪅㪋 㪈㪅㪍 㪈㪅㪏 㪉 㪇 㪌 㪈㪇 㪈㪌 㪉㪇 㪉㪌 ✦࿕䉄ᦛ✢ 䉷䊨ⓨ᳇㑆㓗ᦛ✢ 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪐㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪏㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪎㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪍㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪌㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪋㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪊㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪉㪇㩼㪀 㘻ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪈㪇㩼㪀 ੇ῎ኒᐲ㪛㫉㪇 ੇ῎ኒᐲ㪛㫉㪌㪇 ੇ῎ኒᐲ㪛㫉㪈㪇㪇 ੇ῎ኒᐲ㪛㫉㪍㪉㪅㪏 ੇ῎ ኒ ᐲ 䇭㱝 㪻 㩿㪾㪆㪺 㫄 㪊 㪀 ᳓Ყ䇭㫎㩿㩼㪀 ࿑9 ↪ߚ⹜ᢱߩ✦࿕ᦛ✢ߣฦ case ߩೋᦼ⁁ᘒ 㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇 㪈㪉㪇 㪈㪋㪇 㪈㪍㪇 㪈㪏㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 㱟㪔㪈㪇㪇㫂㪧㪸 㱟㪔㪈㪌㪇㫂㪧㪸 㱟㪔㪉㪇㪇㫂㪧㪸 䈞䉖ᢿ ᔕ ജ 䇭 㱠䋨 䌫㪧㪸 䋩 㑆㓗Ყ䇭㪼 㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇 㪈㪉㪇 㪈㪋㪇 㪈㪍㪇 㪈㪏㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 㱟㪔㪈㪇㪇㫂㪧㪸 㱟㪔㪈㪌㪇㫂㪧㪸 㱟㪔㪉㪇㪇㫂㪧㪸 䈞䉖ᢿ ᔕ ജ 䇭 㱠䋨 䌫㪧㪸 䋩 㑆㓗Ყ䇭㪼 ࿑10 㑆㓗Ყߣߖࠎᢿᔕജߩ㑐ଥ (a) ኒᓟ㧔ߖࠎᢿ೨㧕ߩ㑆㓗Ყ (b) ᦨᄢߖࠎᢿᔕജᤨߩ㑆㓗Ყ
ߚޕ࿑ࠃࠅޔߕࠇߩ⚿ᨐ߽㑆㓗ᲧߩჇടߦߖࠎᢿᔕജ߇ૐਅߒߡ ࠆߎߣ߇ࠊ߆ࠆޕ߹ߚޔหߓ㑆㓗Ყޔု⋥ᔕജߦ߅ߌࠆߖࠎᢿᔕജߩ ࡊࡠ࠶࠻߇߫ࠄߟߡࠆߩߪޔ⇣ߥࠆ᳓Ყߩ࠺࠲ࠍࡊࡠ࠶࠻ߒߡ ࠆߚߣ⠨߃ࠄࠇࠆޕߎߎߢޔ4 ߦฦု⋥ᔕജ㧔ฦ᜔᧤ജ㧕ߩߖ ࠎᢿᔕജߣ㑆㓗Ყߩ㑐ଥߦߟߡޔᦨዊੑਸ਼ᴺߦࠃߞߡ᳞ߚㄭૃᑼࠍ ␜ߔޕ Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߩ⹏ଔࠍⴕ߁ߚߦߪޔ࿑ 10(a)ޔ(b)ߩ ߕࠇ߆ߩ⚿ᨐࠍ↪ࠆᔅⷐ߇ࠆޕ Hvorslev ߩ⠨߃߆ࠄߪᦨᄢߖࠎᢿᔕ ജ⊒ើᤨߩ㑆㓗Ყߦ߅ߌࠆ⚿ᨐ߇ᦸ ߹ߒ߇ޔ৻⥸⊛ߦߪ⎕უᤨὐߢߩ 㑆㓗Ყߩ੍᷹ߪ࿎㔍ߢࠆߎߣ߆ ࠄޔᧄ⺰ᢥߢߪޔታോߢߩ↪ߩߒ ߿ߔߐࠍ⠨ᘦߒޔ࿑10(a)ߩኒᓟߩ 㑆㓗Ყ㧔ߖࠎᢿ೨ߩ㑆㓗Ყ㧕ߢߩ⹏ ଔࠍⴕ߁ߎߣߣߒߚޕ 4 ߦ␜ߔ࿑ 10(a)߆ࠄᓧࠄࠇߚㄭૃᑼߦᓥߞߡޔ㑆㓗Ყ 0.45㨪0.85 ߩ㗔ၞߢᒝᐲ․ᕈࠍ▚ߒߚ⚿ᨐࠍ 5 ߅ࠃ߮ ࿑ 11 ߦ␜ߔޕߘߒߡޔ᳞ࠄࠇߚല☼⌕ജ ceޔലౝ ㇱᡂⷺǾeߣ㑆㓗Ყe ߩ㑐ଥࠍ࿑ 12ޔ13 ߦ␜ߔޕ㑆㓗Ყ ߩ▸࿐ߪ⹜㛎࠺࠲ࠃࠅቯߒߚޕ ࿑ 12ޔ13 ࠃࠅ㑆㓗ᲧߩჇടߦല☼⌕ജޔലౝ ㇱᡂⷺ߇ᷫዋߒߡࠆߎߣ߇ࠊ߆ࠆޕㆊߩ⎇ⓥߢല ☼⌕ജ ce߇㑆㓗Ყߩ㑐ᢙߢߢ߈ࠆߎߣ߇ႎ๔ߐࠇߡ ߅ࠅ4)ޔ5)ޔ߹ߚޔലౝㇱᡂⷺߪ㑆㓗Ყߦኻߒߡ৻ቯ୯ ߣߺߥߒߡ㗴ߥߎߣ 6)ޔᧁ 7)ߩ⎇ⓥߢߪലౝㇱ ᡂⷺߪోߡߩ⁁ᘒߢหߓߢࠆߣߩታ㛎⚿ᨐ߇ႎ๔ߐࠇ ߡࠆޕ࿁ߩ⚿ᨐߦ߅ߡ߽ޔല☼⌕ജߪ㑆㓗Ყe ߩ 㑐ᢙߢࠊߖࠆߣ⠨߃ࠄࠇࠆޕ ߹ߚޔലౝㇱᡂⷺߪޔ㑆㓗ᲧߩჇടߦኻߒߡࠊߕ߆ ߦᷫዋߒߡࠆޕߎࠇߪޔHvorslev ⎕უⷙḰߦ߆߆ࠊࠆㆊ ߩ⎇ⓥႎ๔߇ ߕࠇ߽㘻ࠍኻ ⽎ߣߒߡ߅ࠅޔᧄ ⎇ⓥߢⴕߞߚਇ㘻 ࠍኻ⽎ߣߒߚ ⹜㛎ߣ⇣ߥࠅޔ ᳓⁁ᘒ߇⇣ߥࠆࠤ ࠬߩ⚿ᨐ߽ࠎ ߢࠆᓇ㗀߇ࠆ ߽ ߩ ߣ ⠨ ߃ ࠄ ࠇ ࠆޕߒ߆ߒޔౝㇱ ᡂⷺࠍ↪ࠆ㓙 ߦߪޔtanǾ ߣߒߡ ↪ࠆߚޔ࿁ ߩ୯߽߶߷৻ቯ୯ ߣߒߡޔขࠅᛒߞߡ߽㗴ߪߥ߽ߩߣ⠨߃ࠄࠇࠆޕ 4 ߖࠎᢿᔕജߣ㑆㓗Ყߩ㑐ଥ 㧔ᦨዊੑਸ਼ᴺߦࠃࠆㄭૃᑼ㧕 ࿑ 10(a) ࿑ 10 (b) ı100 IJ = 52.6×e-0.62 IJ = 51.9×e-0.62 ı150 IJ = 69.6×e-0.57 IJ = 68.2×e-0.56 ı200 IJ = 89.8×e-0.5 IJ = 85.2×e-0.59 * IJ 䋺䈞䉖ᢿᔕജ䇮e 䋺㑆㓗Ყ 5 ᒝᐲ․ᕈߩ▚ 㑆㓗Ყ ല☼⌕ജ ലౝㇱᡂⷺ e ı100 ı150 ı100 ce (kPa) Ǿe (deg.) 0.45 86.2 109.4 133.9 38.3 25.5 0.5 80.8 103.0 127.0 34.3 24.8 0.6 72.2 92.9 115.9 28.0 23.6 0.7 65.6 85.2 107.3 23.4 22.7 0.8 60.4 78.9 100.4 19.9 21.8 0.85 58.2 76.3 97.4 18.4 21.4 ฦ᜔᧤ਅߢߩߖࠎᢿᔕജIJ ޓ(kPa) 㪇 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 ല☼⌕ജ ല☼⌕ജ 䇭 㪺㪼 㩿㫂 㪧㪸㪀 㑆㓗Ყ䇭㪼 㪇 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 ലౝㇱᡂⷺ ലౝㇱᡂ ⷺ䇭 㱢㪼 㩿㫦 㪀 㑆㓗Ყ䇭㪼 ࿑12 ല☼⌕ജ ceߣ㑆㓗Ყ㑐ଥ ࿑13 ലౝㇱᡂⷺǾeߣ㑆㓗Ყ㑐ଥ ࿑11 Hvorslev ߩ⎕უⷙḰ 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪉㪌㪇 㪼㪔㪇㪅㪋㪌 㪼㪔㪇㪅㪌 㪼㪔㪇㪅㪍 㪼㪔㪇㪅㪎 㪼㪔㪇㪅㪏 㪼㪔㪇㪅㪏㪌 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪋㪌㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪌㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪍㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪎㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪏㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪏㪌㪀 䈞䉖 ᢿᔕജ 䇭 㱠 㩷㩿㫂㪧 㪸㪀 ု⋥ᔕജ䇭㱟㩷㩿㫂㪧㪸㪀
㧢㧚ᒝᐲቯᢙ⹏ଔߦߟߡߩᓟߩ⺖㗴ߣዷᦸ ᓥ᧪ޔቯ⸘▚ߦ↪ࠄࠇߡࠆᒝᐲቯᢙߪޔ⹜㛎᧦ઙ㧔ឃ᳓᧦ઙ㧕߿ኒ⁁ᘒߦࠃࠆ⹜㛎⚿ᨐ߇⇣ߥࠅޔ ႐ߩߤߩࠃ߁ߥ⁁ᘒࠍߒߡࠆ߆ޔㆡ↪ߦᒰߚߞߡᷙੂߔࠆ႐㕙߇ᄙߊߺࠄࠇߚޕ Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߪޔ⎕უᤨߩ㑆㓗Ყߩ㑐ᢙߣࠊࠇޔലᡂⷺ Ǿeߪ৻ߟߩߦߟߡታ ↪৻ቯߣߥߒߡᏅߒߟ߆߃ߥߊޔߘߎߦ⥋ࠆᔕജ߿㑆㓗Ყߩ⁁ᘒߦߪή㑐ଥߢࠆޕ ࿁ߩታ㛎⊛⎇ⓥߢߪޔㅢᏱ᜔᧤ߩ᧦ઙߢޔೋᦼ᧦ઙࠍᄌ߃ߡᢙᄙߊߩታ㛎ࠍⴕޔ࿑10 ߦ␜ߒߚࠃ߁ ߦኒᓟߩ㑆㓗Ყޔ⎕უᤨߩ㑆㓗Ყߣߖࠎᢿᒝߐߩ㑐ଥࠍ᳞ߚޕߘߩᚑᨐߣߒߡޔ࿑11㨪13 ߦ␜ߔࠃ߁ߦ 㑆㓗Ყߩ⇣ߥࠆ⹜ᢱߩ⎕უⷙḰ✢ߩ൨㈩㧔ߔߥࠊߜޔലౝㇱᡂⷺǾe㧕ߪޔ㑆㓗Ყߦነࠄߕ߶߷৻ቯ୯ࠍ ␜ߒߡࠆ߽ߩߣ್ᢿߢ߈ߚޕ߹ߚޔHvorslev ⷙḰߩᒝᐲቯᢙࠍ⎕უᤨߩ㑆㓗Ყߢߥߊޔታ↪ޔቶౝ⹜㛎 ߩኒ⚳ੌᤨޔߔߥࠊߜߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყߢ࠺࠲ࠍᢛℂߒߚ߇ޔታ↪ߩ㗴ߪήߣࠊ߆ߞߚޕ ࿁ߩታ㛎ߩታᣉᢙߪޔታ↪⊛ߦߪᢙ߇ᄙ߇ޔᢙࠍᷫࠄߒߡലᨐ⊛ߦǾeࠍ᳞ࠆߎߣߪน⢻ߢࠆޕ ߖࠎᢿ⹜㛎ߦࠃࠅലౝㇱᡂⷺǾe߇᳞߹ࠆߎߣߢᰴߩࠃ߁ߥὐ߇ߍࠄࠇࠆޕ߹ߕߪޔᢳ㕙ߦ߅ ߌࠆ㑆㓗Ყ߇ࠊ߆ࠇ߫ޔ࿑11 ߆ࠄޔ߆߱ࠅ㧔ု⋥ᔕജޔ߹ߚߪ᜔᧤㧕ߦᔕߓߚ⎕უᤨߩߖࠎᢿᔕജ IJf ߇ផቯߢ߈ޔߐࠄߦലౝㇱᡂⷺǾe߇᳞߹ߞߡࠆߎߣߢޔ⎕უⷙḰ✢߇ឬߌޔߘߩಾ ߢࠆല☼⌕ ജce߇᳞ࠄࠇࠆޕ߹ߚޔߦ߅ߌࠆߩߖࠎᢿᒝᐲࠍޔ߃߫ޔࠨ࠙ࡦ࠺ࠖࡦࠣ⹜㛎ߦࠃࠅ᳞ޔߘ ߩ୯ࠍceߣߔࠇ߫ޔቶౝ⹜㛎߆ࠄ᳞ࠄࠇߚǾeߢ⎕უⷙḰ✢ࠍឬߊߎߣ߇น⢻ߣߥࠆޕએߩߎߣ߆ࠄޔ ቶౝ⾰⹜㛎⚿ᨐ߆ࠄലౝㇱᡂⷺǾeࠍ᳞ߡ߅ߊߎߣߢޔߩ⋚ౝߩ⁁ᴫߦහߒߚߖࠎᢿᒝᐲቯᢙ ࠍቯߢ߈ࠆ߽ߩߣ⠨߃ࠄࠇࠆޕ 㧚߅ࠊࠅߦ ᕆᢳ㕙ߩቯ⸘▚ߢߪޔߘߩᒝᐲቯᢙࠍ߆ߦㆡಾߦ੍᷹ߔࠆ߆߇㐳㑆ߩ⺖㗴ߢߞߚޕ╩⠪ࠄߩࠣ ࡞ࡊߪቶౝ⹜㛎ߢޔ߆ߦวℂ⊛ߦታ↪ߢ߈ࠆ୯ࠍ᳞ࠆ߆ߩታ㛎⊛ߥၮ␆⎇ⓥߦขࠅ⚵ࠎߢ߈ߚޕ ᒝᐲ․ᕈߦࠨ࡚ࠢࠪࡦ߇ᄢ߈ߊᓇ㗀ߔࠆߎߣޔ㘻ᐲ߇ࠆ৻ቯ୯ࠍ߃ࠆߣߘߩᓇ㗀߇ήߊߥࠆߥߤޔ ᒝᐲ⊒ߩࡔࠞ࠾࠭ࡓߪ߆ߥࠅ⸃ߢ߈ߚޕߒ߆ߒޔቯ⸘▚ߦ↪ࠆᒝᐲቯᢙcޔǾ ߦߟߡߪޔߘߩว ℂ⊛ߥቯᣇᴺߦߟߡᧂ⸃ߢߞߚޕ ᕆᢳ㕙ߩ፣უߪጀㇱಽߢ↢ߓޔߘߩጀߩߖࠎᢿ⹜㛎ߦ↪ࠆਇᡬੂߩ⹜ᢱߩណข߇ਇน⢻ߥ⁁ᴫߢޔ ੂߒߚណข⹜ᢱ߆ࠄวℂ⊛ߢታ↪น⢻ߥᒝᐲቯᢙࠍ߆ߦࠆ߆߇⺖㗴ߢߞߚޕᒝᐲቯᢙߪޔHvorslev ߩ⎕უⷙḰߦࠃࠆ⠨߃߇วℂ⊛ߢޔߎࠇࠍታ↪ࡌ࡞ߦㆡ↪ߢ߈ࠇ߫ലߢࠆߎߣ߆ࠄޔᓥ᧪ߩታ㛎ߦട ߃ᣂߚߥታ㛎ࠍⴕߞߡޔHvorslev ߩ⎕უⷙḰߦࠃࠆᒝᐲቯᢙߩቯࠍ⹜ߺޔߘߩታ↪น⢻ᕈ߇ࠄ߆ߦߥߞ ߚޕ ߎߩࠃ߁ߥ৻ㅪߩၮ␆⊛ߥ⎇ⓥ߇ޔᢥൻ⽷߇⢛ᓟߦᕆᢳ㕙ࠍ߽ߟ႐วߩ፣უෂ㒾ᐲ੍᷹ߣߘߩోኻ╷ ߦᄢߦᓎ┙ߜޔᐢߊ࿖᳃ߩోߦߟߥ߇ࠆߣ⠨߃ࠄࠇࠆޕᓟޔឭ᩺ᚻᴺߩታ↪ൻࠍ⋡ᜰߒߚ⎇ⓥߦขࠅ ⚵ࠎߢ߈ߚޕ ෳ⠨ᢥ₂ 1) ᷓᎹ⦟৻㧘㈬൬৻ᚑ㧘ᵻ↰ାੳ㧘Ꮉ㇚ᄦ㧘ખ⍫㗅ሶ㧘⍹↰ఝሶ㧘㉿⍮ᤘ㧘㑐⋡ቄ੫㧦ᱧผ⊛ᑪㅧ‛ᓟ⢛ᢳ㕙ߩ ቯᕈ⹏ଔߩߚߩᒝᐲቯᢙߦ㑐ߔࠆၮ␆⊛⎇ⓥ㧘ᱧผㇺᏒ㒐ἴ⺰ᢥ㓸㧘Vol.1㧘pp.183-190㧘2007㧚
2) Hvorslev, M.J.: Physical Components of the Shear Strength of Saturated Clays, Proc. Res. Conf. on Shear Strength of Cohesive Soils, 1960. 3) ጊญᨰ᮸㧦⾰ജቇ㧘ᛛႎၴ㧘p.168㧘1976㧚 4) ᦨᱞ㓶㧦⾰ജቇ㧘ᛛႎၴ㧘pp.526-530㧘1969㧚 5) 㧔␠㧕⾰Ꮏቇળ㧦⾰Ꮏቇࡂࡦ࠼ࡉ࠶ࠢ㧔1982 ᐕ 㧕㧘╙ 6 ┨ ߩߖࠎᢿ㧘pp.205㨪206㧘1982㧚 6) ጊญᨰ᮸㧦⾰ജቇ㧘ᛛႎၴ㧘pp.177-178㧘1976㧚 7) ᧁೣ↵㧦ቯ⸃ᨆߩߚߩᒝᐲቯᢙ㧘ߔߴࠅߩ⋚Ꮏቇ⊛⻉㗴ߦ㑐ߔࠆࠪࡦࡐࠫ࠙ࡓ⺰ᢥ㓸㧘pp.19㨪24㧘1996㧚