উঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕ASRຎ໬ࡋࡓPC㒊ᮦࡢኚᙧᣲືࡢゎᯒⓗホ౯஑ᕞᕤᴗ኱Ꮫ          ‫▮ۑ‬㔝 భ㍜஑ᕞᕤᴗ኱Ꮫ   ṇ఍ဨ 3K'  ᖾᕥ ㈼஧
஑ᕞᕤᴗ኱Ꮫ   ṇ఍ဨ ᕤ༤  ྜ⏣ ᐶᇶAbstract㸸FEM analysis, which has considered the degradation and expansion of concrete material due toASR, is carried out to simulate the exposure test of PC girder specimen, in which alkali reactivity aggregate
is used. As a result, the simulative upward deformation is 0.98mm, which is close to the experimental one
1.50mm. FEM analysis parameterized by different degradations of concrete material is carried out. As aresult, upward deformation increases with the decreasing of modulus of elasticity. FEM analysis
parameterized by different eccentricities of PC steel wire is carried out. As a result, upward deformation
increases with the increasing of eccentricity of PC steel wire.
Key words㸸Prestressed Concrete㸪Alkali-Silica Reaction㸪FEMࡣࡌࡵ࡟ⴭ⪅ࡽࡣ㸪ASRࡀ⏕ࡌࡓPC㒊ᮦࡢ㛗ᮇⓗ࡞ຎ໬ᛶ≧ࡢホ౯ࢆ┠ⓗ࡟㸪཯ᛂᛶ㦵ᮦࢆ౑⏝ࡋࡓ኱ᆺPC᱆౪ヨయ (No.1㹼4) ࢆస〇ࡋࡓࠋNo.1,2౪ヨయ࡛ࡣ೺඲᫬ࡢึᮇ๛ᛶࡢホ౯ࢆ┠ⓗ࡟㸪ึᮇ࡟㕲➽ࡀ㝆అࡍࡿࡲ࡛㍕Ⲵヨ㦂ࢆᐇ᪋ࡋࡓࠋࡑࡢᚋ㸪ᒇእᭀ㟢ࢆᐇ᪋ࡋ㸪No.1౪ヨయࡣຎ໬ᗘ୰㸪No.2౪ヨయࡣຎ໬ᗘ኱࡛෌ࡧ㍕
Ⲵヨ㦂ࢆᐇ᪋ணᐃ࡛࠶ࡿࠋNo.3,4౪ヨయ࡛ࡣ㸪ࡑࢀࡒࢀຎ໬ᗘ୰࠾ࡼࡧ኱࡛㍕Ⲵヨ㦂ࢆ⾜࠺ணᐃ࡛࠶ࡾ㸪⌧ᅾࡣᒇእᭀ㟢୰࡛࠶ࡾ㸪ᐃᮇⓗ࡟ࡦࡧ๭ࢀほᐹ㸪⭾ᙇ㔞࠾ࡼࡧ㒊ᮦኚᙧ࡞࡝ࡢィᮏ✏࡛ࡣ㸪ヲ⣽࡟ィࢆ⾜ࡗ࡚࠸ࡿࠋࢆ⾜ࡗ࡚࠸ࡿNo.4౪ヨయࢆᑐ㇟࡟㸪ASR࡟ࡼࡿᮦᩱຎ໬㸪⭾ᙇࡦࡎࡳࢆ⪃៖ࡋࡓ2ḟ

ඖᙎረᛶFEMゎᯒࢆ⾜࠸㸪ASRࡀ⏕ࡌࡓPC㒊ᮦࡢᇶ♏ⓗ࡞ᣲືࡢᢕᥱࢆ⾜ࡗࡓࠋࡉࡽ࡟㸪ᮦᩱຎ໬࡜೫ᚰ㔞࡟╔┠ࡋࡓࣃ࣓࣮ࣛࢱゎᯒࢆᐇ᪋ࡋ㸪࣓࢝ࢽࢬ࣒࡟ࡘ࠸࡚ヲ⣽࡟ศᯒࢆ⾜ࡗࡓࠋᐇ㦂ᴫせᅗ㸫㸯࡟౪ヨయᴫせࢆ♧ࡍࠋᙧ≧ࡣ 4500×350×550mm ࡛㸪⥭ᙇ᪉ἲࡣ ĳPP ࡢ PC 㗰ࡼࡾ⥺ࢆ 4 ᮏ㓄⨨ࡋࡓ࣏ࢫࢺࢸࣥࢩࣙࣥ᪉ᘧ࡜ࡋࡓࠋ౪ヨయࡣᡴタ࠿ࡽ⣙ 100 ᪥㛫ᐊෆ㣴⏕ࡋ㸪ࡑࡢᚋ㸪ᒇእᭀ㟢ࢆᐇ᪋ࡋࡓࠋ
ࢭ࣓ࣥࢺࡣᬑ㏻࣏ࣝࢺࣛࣥࢻࢭ࣓ࣥࢺࢆ⏝࠸㸪Ỉࢭ࣓ࣥࢺẚࡣ46%࡜ࡋࡓࠋ཯ᛂᛶ㦵ᮦࡢᒾ✀ࡣ࠸ࡎࢀࡶ
Ᏻᒣᒾ࡜ࡋ㸪཯ᛂᛶࡢ⣽㦵ᮦࡣ㛗ᓮ┴⏘○◁ࢆ60%㸪཯ᛂᛶࡢ⢒㦵ᮦࡣ໭ᾏ㐨⏘○▼ࢆ50%౑⏝ࡋࡓࠋࡲࡓ㸪
NaClῧຍ࡟ࡼࡾ㸪ࢥࣥࢡ࣮ࣜࢺ୰ࡢ➼౯࢔ࣝ࢝ࣜ㔞ࡣ8kg/m3࡜ࡋࡓࠋ

W2⌧⾜D13᩿㠃C᩿㠃
DPC㗰ࡼࡾ⥺ȭ19.3 SWPR19L

W1W3ࢢࣜࢵࢻ➽D13 No.1~2౪ヨయ:⌧⾜D13No.3~4౪ヨయ:ᪧᇶ‽D16㻔㼍㻕㻌ഃ㠃ᅗᅗ䠉䠍䚷౪ヨయᴫせ᩿
㠃
E295

150 50W1
D13W2
D13115 140
550

ࢢࣜࢵࢻ➽
300kN࣮ࣟࢻࢭࣝ
㸦༢఩㸸mm㸧

᩿㠃B

༡

550
115
295140

᩿
㠃
A

125

150

4500
34@125=4250

125

50 125 125 50

50 150໭PC㗰ࡼࡾ⥺

100 150 100
350㻔㼎㻕㻌᩿㠃ᅗউঞ५ॺঞ५ॺ॥থॡজ‫৾ੵॺش‬ভ‫ؙ‬ਸ਼їћ৚३থএ४क़঒૛ધૐ‫ق‬їѕіќফіѕা‫ك‬〔論文〕ࣉࢫࢤ࣮ࢪࢆ⏝࠸࡚ィࡋ㸪ྛ᩿㠃࡟ࡘࡁィ

఩⨨࡟┦ᙜ

572μ

ࡍࡿྛ᩿㠃ୖ⦕ࡢኚ఩㔞ࢆ⏝࠸࡚ẚ㍑ࡋࡓࠋᅗ୰ࡼࡾ㸪330μࡢaⅬ㸪bⅬࡢᖹᆒ್ࢆ⏝࠸㸪ゎᯒ್ࡣ㸪ィ

㸸50μ

ᣦᶆ

Ⅼ2⟠ᡤ

ᐇ㦂࡛ࡣ㸪➃㒊ࡢ᩿㠃A㸪E࡛ᖹᆒ1.39mmࡢኚᙧ㔞㸪୰ᅗ㸫㍈᪉ྥࡦࡎࡳࡢኚ໬㔞 ᮦ㱋㹼᪥

ኸࡢ᩿㠃C࡛2.89mmࡢኚᙧ㔞ࡀ☜ㄆࡉࢀ㸪཯ࡾ㏉ࡾ㔞ࡣ1.50mm࡜࡞ࡗࡓࠋ୍᪉㸪ゎᯒcase1࡛ࡣ㸪➃㒊ࡢ᩿㠃

2.5A㸪E࡛1.52mm㸪୰ኸ㒊ࡢ᩿㠃C࡛2.50mm࡜☜ㄆࡉࢀ㸪཯ࡾ㏉ࡾ㔞ࡣ0.98mm࡜࡞ࡗࡓࠋ௨ୖࡼࡾ㸪㒊ᮦኚᙧࡢ

case3
case4
case5

2.0

2.16

65% (=0.98/1.50)࡜࡞ࡾ㸪ᴫࡡ෌⌧࡛ࡁࡓࠋᅗ㸫࡟ゎᯒ⤖ᯝࡢ㍈᪉ྥࡦࡎࡳࡢኚ໬㔞ࢆ♧ࡍࠋᅗ୰ࡢࡦࡎࡳ್ࡣ㸪౪ヨయ୰ኸ᩿㠃ࡢ㍈᪉ྥࡦࡎࡳࡢ್

ኚᙧ㔞(mm)෌⌧ࡣ㸪୍ᵝኚᙧࡣ90% (=1.39/1.52)㸪཯ࡾ㏉ࡾኚᙧࡣࢆ⏝࠸ࡓࠋᅗ୰ࡼࡾ㸪ୖୗ⦕ࡢࡦࡎࡳᕪ242μ(=572-330)

1.5

2.02

1.0

0.86

0.5

࡜☜ㄆࡉࢀࡓࠋ཯ࡾ㏉ࡾࡣୖୗࡢࡦࡎࡳᕪ࠿ࡽⓎ⏕ࡍࡿ࡜⪃࠼ࡽࢀ㸪ᘧ(1)ࡼࡾồࡵࡽࢀࡿࠋ

0.0

0.80

0.32

0.14
0.06
0.020.30

᩿㠃A‫ ݒ‬ൌ ߮ ൈ ‫ܮ‬ଶ Τͺ ࣭࣭࣭ሺͳሻ
ࡇࡇ࡟㸪v㸸཯ࡾ㏉ࡾ㔞(mm) 㸪ĳ㸸᭤⋡(1/mm) 㸪L㸸ࢫ

0.14
0.060.02

᩿㠃B᩿㠃C᩿㠃D᩿㠃Eᅗ㸫ຎ໬ࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓ㒊ᮦኚᙧࡢẚ㍑

ࣃࣥ㛗4000mm
ᣦᶆࡼࡗ࡚㸪ᘧ(1)ࡼࡾ㸪཯ࡾ㏉ࡾ㔞ࡣ0.88mm࡜࡞ࡾ㸪ᅗ

㸸50μ-32μ㸫ࡢゎᯒ್0.98mm࡜࡯ࡰ୍⮴ࡋࡓࠋ

-261μᮦᩱຎ໬ࡢᙳ㡪ࡢ᳨ウ
 ึᮇࣉࣞࢫࢺࣞࢫゎᯒ⤖ᯝᅗ㸫࡟ຎ໬ࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓ㒊ᮦኚᙧࡢẚ㍑ࢆ

-65μ♧ࡍࠋᅗ୰࡟ࡣ㸪⾲㸫࡟♧ࡍࡼ࠺࡟㸪ᅽ⦰ᙉᗘ࡜ᙎᛶ

(-62μ)( )㸸ヨ⟬್-493μ (-500μ)ಀᩘࢆ࡜ࡶ࡟50,25,75%పୗࡉࡏࡓcase3,4,5ࢆ♧ࡍࠋ࡞࠾㸪ᅗ୰ࡢኚᙧ㔞ࡣᮦ㱋300㹼1500᪥ࡢኚᙧ㔞࡜ࡋࡓࠋ FDVH పୗ᫬

ྠᅗࡼࡾ㸪case3,4,5ࡢ཯ࡾ㏉ࡾ㔞ࡣ0.80,0.30,2.02mm࡜
-126μ (-122μ)࡞ࡗࡓࠋ௨ୖࡼࡾ㸪ᙎᛶಀᩘࡢపୗࡀⴭࡋ࠸࡯࡝㸪཯ࡾ( )㸸ヨ⟬್-855μ (-966μ)㏉ࡾࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ
ᅗ㸫࡟ᮦᩱຎ໬ࡢᕪ࡟ࡼࡿኚᙧᣲືࡢ㐪࠸ࢆ♧ࡍࠋࡇࡇ࡛ࡣ㸪case3,5࡟╔┠ࡋ࡚࠾ࡾ㸪ᅗ୰(1)ࡣึᮇࣉ

 FDVH పୗ᫬ࣞࢫࢺࣞࢫ࡟ࡼࡗ࡚⏕ࡌࡓኚᙧࡦࡎࡳ㸪ᅗ୰(2),(3)ࡣᙎ

ᅗ㸫ᮦᩱຎ໬ࡢᕪ࡟ࡼࡿኚᙧᣲືࡢ㐪࠸ᛶಀᩘࡀపୗࡋࡓ᫬ࡢࡦࡎࡳࢆ♧ࡋ࡚࠸ࡿࠋᅗ୰(1)ࡼ
ࡾ㸪ึᮇࣉࣞࢫࢺࣞࢫ࡟ࡼࡾ㸪ୖ⦕࡛-32μ㸪ୗ⦕࡛-261μߝͳߪ‫ͳ݌‬ᐇ㝿ࡢ⦰ࡳ㔞ߝʹ ࡢࡦࡎࡳࡀ⏕ࡌࡓࠋຎ໬ࡀ⏕ࡌࡿ࡜㸪ᅗ୰(2)ࡼࡾ㸪50%ߪ‫͵݌‬ߪ‫ ʹ݌‬ߝ͵ ሺߝʹ െ ߝ͵ ሻపୗ᫬࡛ࡣୖ⦕࡛-65μ㸪ୗ⦕࡛-495μࡢࡦࡎࡳ࡜࡞ࡾ㸪㗰ᮦ‫ʹܧ‬s‫ ͳܧ‬‫ʹܧ‬ࡀⴭࡋ࠸࡯࡝㸪౪ヨయୗ㒊࡛ᅽ⦰ࡦࡎࡳࡀቑຍࡍࡿࠋึᮇ≧ែ(೺඲≧ែ)⮬⏤཰⦰(ຎ໬≧ែ)ኚᙧ࣓࢝ࢽࢬ࣒ᅗ㸫ᮦᩱຎ໬࡟ࡼࡿኚᙧ࣓࢝ࢽࢬ࣒ࡢᶍᘧᅗࡲࡓ㸪ᅗ୰(3)ࡼࡾ㸪75%పୗ᫬࡛ࡣୖ⦕࡛-126μ㸪ୗ⦕
࡛-855μࡢࡦࡎࡳ࡜࡞ࡗࡓࠋ௨ୖࡼࡾ㸪ᙎᛶಀᩘࡢపୗᅗ㸫࡟ᮦᩱຎ໬࡟ࡼࡿኚᙧ࣓࢝ࢽࢬ࣒ࢆ♧ࡍࠋࡲ‫ʹܧ‬ᣊ᮰ୗ࡛ࡢ཰⦰
(ຎ໬≧ែ)