Shear Bond Strength of Rehabilitated Steel Plate Bonding CFRP Plates.

Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡜㗰࡜ࡢ」ྜᮦࡢ᥋╔๣ࡏࢇ᩿⪏ຊ ࡑࡢ㸯ᘬᙇ㍕Ⲵヨ㦂

⋢஭ ᏹ❶

㸪㝕ᕝ ᫭ྖ

㸪୰ᮧ ᠇୍

Shear Bond Strength of Rehabilitated Steel Plate Bonding CFRP Plates.

Part 1 Tensile Loading Tests

by

Hiroyuki TAMAI*, and Koji JINKAWA

^**

, and Kenichi NAKAMURA**

To enhance the usable life of existing building, a strengthening method with bonding CFRP Plates has been developed by authors. The CFRP Plates is high-strength (2100MPa) in longitudinal normal stress. The composite member of steel bonding CFRP Plates has enough bending strength when n o bending moment works at the edge of CFRP Plates. The composite of steel bonding CFRP may easily peel out under tensile loading because shear bonding stress is concentrated at the edge of CFRP Plates. In this paper, Tensile Loading Tests of composite of steel bonding CFRP Plates were performed to clarify the shear bonding stress distribution and failure condition of adhesive. Also, analytical solution of shear stress distribution was presented. Strength improvement method for the composite was discussed th rough the test and analytical results.

Key words: Carbon Fiber Reinforced Plastic Plate, Bonding Strengthening, Tensile Loading Test

ࡣࡌࡵ࡟

㏆ᖺ㸪㧗ᗘᡂ㛗ᮇ࡟ᘓタࡉࢀࡓ㗰ᵓ㐀≀ࡢከࡃࡀ⪁

ᮙ໬ࡋ࡚࠾ࡾ㸪⿵ಟ࣭⿵ᙉࡀᚲせ࡜࡞ࡿ஦౛ࡀቑຍࡋ

࡚࠸ࡿ㸬㏆ᖺ࡛ࡣᵓ㐀≀ࡢ㛗ᑑ࿨໬ࡀ㔜せどࡉࢀ࡚࠾

ࡾ㸪ᵝࠎ࡞⿵ᙉ᪉ἲࡢ◊✲ࡀ⾜ࢃࢀ࡚࠸ࡿ㸬ᮏ◊✲࡛

ྲྀࡾᢅ࠺Ⅳ ⣲⧄⥔ࣉ ࣮ࣞࢺ(CFRP) ࢆ⏝࠸ࡓ 㗰ᵓ㐀 ≀

࡬ࡢ⿵ᙉ⿵๛ࡣ᥋╔๣ࢆ౑ࡗ࡚ࡢ᥋╔⿵ᙉ࡛࠶ࡿࡓࡵ㸪 ᚑ᮶ࡢ᪉ἲ࡟ࡣ࡞࠸ᵝࠎ࡞฼ⅬࡀᏑᅾࡍࡿ㸬㏆ᖺᵝࠎ

࡞Ⅳ⣲⧄⥔ࢆ㗰ᵓ㐀≀࡟᥋╔ࡍࡿ⪏㟈⿵ᙉᕤἲ㸪㛗ᑑ

࿨໬ᢏ⾡ࡢᥦ᱌࣭◊✲ࡀ⾜ࢃࢀ࡚࠾ࡾ

^1)-4)

㸪Ⅳ⣲⧄⥔

᥋╔ᕤἲࡣ༑ศ࡞⿵ಟ࣭⿵ᙉຠᯝࡀ࠶ࡿࡇ࡜ࡀศ࠿ࡗ

࡚࠸ࡿࡶࡢࡢ㸪᥋╔๣ࡢ◚ቯ᮲௳ࡀ᫂☜࡜࡞ࡗ࡚࠸࡞

࠸㸬

ࡑࡇ࡛㸪ᮏ◊✲࡛ࡣ

CFRP

࡟ࡼࡗ࡚᥋╔⿵ᙉࡉࢀࡓ 㗰ᯈࡢ᥋╔ᛂຊศᕸࢆ᳨ウࡍࡿࡇ࡜࡛᥋╔๣ࡢ◚ቯ᮲

௳ࢆ᳨ウࡍࡿ㸬ࡲࡓ㸪ࡑࢀ࡜ඹ࡟」ྜᮦࡢᘬᙇ⪏ຊᨵ ၿἲ࡟ࡘ࠸࡚ࡶᥦ᱌᳨࣭ウࢆ⾜࠺㸬

ᙎᛶᛂຊ⌮ㄽᘧ^5)-7)

㗰ᱱࡢ ࣇࣛ ࣥࢪ እ㠃 ࡟Ⅳ ⣲ ⧄⥔ࣉ ࣮ࣞ ࢺ

(CFRP)

ࢆ ᥋╔ࡋࡓ᫬ࡢ᥋╔๣ࡢࡏࢇ᩿ᙉᗘࢆ᳨ウࡍࡿࡓࡵ㸪ᅗ

1

࡟♧ࡍᘬᙇຊ

P

ࢆཷࡅࡿ

CFRP

ࢆ㗰ᯈ࡟᥋╔ࡋࡓ」

ྜᮦ࡟ࡘ࠸࡚㸪CFRP㸪㗰ᯈࡢᆶ┤ᛂຊ࡜᥋╔๣ࡢࡏࢇ

᩿ᛂຊศᕸࡢᙎᛶ⌮ㄽᘧࢆồࡵࡿ㸬௨ୗ࡟ᇶᮏ௬ᐃࢆ

♧ࡍ㸬

1) ᯈᖜ᪉ྥࡢᛂຊኚ໬ࡣ↓どࡍࡿ㸬

2) ᯈࡢ᭤ࡆᛂຊࡣ↓ど࡛ࡁࡿ㸬

3)CFRP

ᯈ㸪᥋╔๣㸪㗰ᯈࡣⷧࡃ㸪ཌࡉ᪉ྥࡢᛂຊ ኚ໬ࡣ⏕ࡌ࡞࠸㸬

4)CFRP

ཬࡧ㗰ᯈࡢᛂຊࡣ༢㍈ᛂຊ≧ែ࡛⾲ࡉࢀ

ࡿ㸬

5) ᥋╔๣ࡣࡏࢇ᩿ኚᙧࡀ༟㉺ࡋ㸪ࡏࢇ᩿ᛂຊࡢࡳ

ࡀ⏕ࡌࡿ㸬

ᅗ

2

ࡢᚤᑠせ⣲ࡢຊࡢ㔮ࡾྜ࠸᪉⛬ᘧࡣ㸪

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(1.a) 㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃

(1.b)

c c a a

A d dx W

s s a a

A d dx W

ᖹᡂ ᖺ ᭶ ᪥ཷ⌮

ࢩࢫࢸ࣒⛉Ꮫ㒊㛛㸦Division of System Science㸧

㸨㸨

ᕤᏛ◊✲⛉㒊㛛㸦Graduate School of Engineering㸧

㛗ᓮ኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉◊✲ሗ࿌➨ᕳ➨ྕᖹᡂᖺ᭶

21

ࡇࡇ࡟

c,Ac

㸸

CFRP

ࡢᆶ┤ᛂຊ㸪᩿㠃✚

s,As

㸸㗰ᯈࡢᆶ┤ᛂຊ㸪᩿㠃✚

a,Wa

㸸᥋╔๣ࡢࡏࢇ᩿ᛂຊ㸪᥋╔ᖜ

(1.a,b)ᘧࡼࡾ,

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(2.a)

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃

(2.b)

᥋╔๣ࡢࡏࢇ᩿ࡦࡎࡳࡣ

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(3) ࡇࡇ࡟

c, s

u u

㸸

CFRP

ཬࡧ㗰ᯈࡢ㍈᪉ྥኚ఩

ta

㸸᥋╔ᒙཌ

ࡲࡓ㸪

࡛࠶ࡿࡢ࡛

ࡼࡗ࡚

ࡇࢀࡼࡾ

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(4)

(4)ᘧࢆᚤศࡋ࡚(2a,b)ᘧࢆ௦ධࡍࡿ࡜

a

࡛⾲♧ࡋࡓ㔮ࡾྜ࠸᪉⛬ᘧࡣ⤖ᒁ㸪

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃

(5.a)

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(5.b)

ࡇࡇ࡟㸪

^{㸸ᇶ‽᥋╔௜ຍ㛗ࡉ}

a a a

A t W

(5.a)

ᘧࡢ୍⯡ゎࡣࡼࡃ▱ࡽࢀࡿࡼ࠺࡟㸪

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(6)

ࡇࡇ࡟㸪

C C1, 2

ࡣ✚ศᐃᩘ࡛࠶ࡿ㸬 ຊᏛⓗቃ⏺᮲௳ࡣ

࡛ 㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(7.a)

࡛ 㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃

(7.b)

࡛࠶ࡿࡢ࡛㸪(4)ᘧࡼࡾ

࡛ 㺃㺃㺃㺃㺃㺃㺃㺃㺃(8.a)

࡛ 㺃㺃㺃㺃㺃㺃㺃㺃㺃(8.b)

(8.a,b)ᘧ࠿ࡽ(6)ᘧࡢC C1, 2

ࢆồࡵࡿ࡜

ᅗ 」ྜᮦࡢࣔࢹࣝ໬

ᅗ ᚤᑠせ⣲ࡢຊࡢ㔮ࡾྜ࠸

c a a

c

d W

dx A

s a a

c

d W

dx A

c s

a a

u u t

c , s

c s

c s

du dx du dx

E E

c s c s

a

a c s a

du du dx

d t E E t

c s a

a a a

c s a

d G d G dx

E E t

a c s a

c s a

d G

d E E t

2 2

1 1

a c s a a a a a a

c s a c c s s a

d d d G W W G

dx E dx E dx t E A E A t

1 1 _{a a}

a

c c s s a

G W

E A E A t

2

2 2

1 0

a a

d dx

2

2 a s s c c

a a s s c c

t E A E A G A E A E A

1 cosh 2 sinh

a

x x

C C

2

x L _c 0 , _s P A

2

x L _c 0 , _s P A

2

x L ^{a s a a}

s a s s a

d G P G

dx E t E A t

2

x L ^{a s a a}

s a s s a

d G P G

dx E t E A t

1 0

C

2

cosh2

a

s s a

P G

C L E A t

⋢஭ᏹ❶㸪㝕ᕝ᫭ྖ㸪୰ᮧ᠇୍

22

࡜࡞ࡿ㸬ࡇࢀࢆ(6)ᘧ࡟௦ධࡋᩚ⌮ࡍࡿ࡜㸪

㺃㺃㺃㺃㺃㺃㺃㺃(9)

ḟ࡟

CFRP

ࡢᆶ┤ᛂຊ

_c

ࢆồࡵࡿ㸬

(9)ᘧ ࢆ ✚ ศ ࡋ 㸪(7.a,b)

ᘧ ࡢ ቃ ⏺ ᮲ ௳ ࢆ ⪃ ៖ ࡍ ࡿ ࡜ 㸪

CFRP

ࡢᆶ┤ᛂຊ

_c

^{ࡣḟᘧࡢࡼ࠺࡟࡞ࡿ㸬}

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(10.a)

c Ac s As P

࡞ࡢ࡛㸪(10.a)ᘧ࠿ࡽ㗰ᯈࡢᆶ┤ᛂຊ

s

ࡣḟᘧࡢࡼ࠺࡟࡞ࡿ㸬

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃(10.b) ḟ࡟᥋╔๣ࡢ᭱኱ࡏࢇ᩿ᛂຊ࡟ࡘ࠸࡚⪃࠼ࡿ㸬

(9)ᘧࡼࡾ᥋╔๣ࡢࡏࢇ᩿ᛂຊa

ࡣ

,

2 2 L L

x

ࡢ࡜ࡁ

࡟᭱኱࡜࡞ࡿ㸬ࡼࡗ࡚᭱኱್

_amax

^ࡣ

L

ࡀ༑ศ㛗࠸࡜ࡁࡣ㸪

tanh 1 2

L

࡜࡞ࡿࡢ࡛㸪

ࢆ௦ධࡋᩚ⌮ࡍࡿ࡜

㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃㺃

(11)

」ྜᮦࡢᘬᙇ⪏ຊᨵၿἲ

2

⠇࡛ồࡵࡓ(11)ᘧࡢ᥋╔๣ࡢࡏࢇ᩿ᛂຊࡢᘧࡼࡾ㸪 ᥋╔๣ࡢࡏࢇ᩿ᛂຊࡣ

CFRP

➃㒊࡛᭱኱࡜࡞ࡿࡇ࡜ࡀ

ࢃ࠿ࡿ㸬

᥋╔⿵ᙉࡉࢀࡓ」ྜᮦࡢᙉᗘࡀ᥋╔๣ࡢࡏࢇ᩿ᙉᗘ

࡛Ỵᐃࡉࢀࡿ࡜ࡍࡿ࡜㸪

2

⠇ࡢ(11)ᘧࡼࡾ㸪᭱኱ࡏࢇ᩿

ᛂຊ

am a x

ࢆᢚ࠼ ࡿࡓ ࡵ࡟ ࡣ௨ ୗ ࡟♧ࡍ ᨵၿ ᪉ἲ ࡀ⪃

࠼ࡽࢀࡿ㸬

(11)ᘧࡼࡾCFRP

࡟ࡼࡿ᥋╔⿵ᙉࢆࡋࡘࡘ㸪

amax

ࢆ

ᑠࡉࡃࡍࡿࡓࡵ࡟ࡣ㸪

1)᥋╔ᒙཌta

ࢆ኱ࡁࡃࡍࡿ㸬

2)㗰ᮦࡢ᩿㠃✚As

ࢆ኱ࡁࡃࡍࡿ㸬

3)

᥋╔ᖜ

Wa

ࢆᑠࡉࡃࡍࡿ㸬

௨ୖࡢ

3

ࡘࡀ⪃࠼ࡽࢀࡿ㸬ࡑࡇ࡛ᮏ◊✲࡛ࡣ

1)࡜ 2)

ࡢᘬᙇ⪏ຊᨵၿ᪉ἲ࡟ࡘ࠸᳨࡚ウࢆ⾜࠺㸬

」ྜᮦࡢᘬᙇヨ㦂࡜ゎᯒࡢᴫせ ᘬᙇヨ㦂

2

⠇㸪

3

⠇࡛♧ࡋࡓ⌮ㄽᘧࡢ⢭ᗘ࡜ᘬᙇ⪏ຊᨵၿἲࡢ

᭷ຠᛶࢆ᳨ウࡍࡿࡓࡵ㸪CFRP ࡜㗰ᯈ࡜ࢆ᥋╔ࡋࡓ」

ྜᮦࡢᘬᙇヨ㦂ࢆ⾜ࡗࡓ㸬

ۑヨ㦂య

ヨ㦂యᙧ≧ࢆᅗ

3

࡟ヨ㦂యࢩ࣮ࣜࢬࢆ⾲

1

࡟♧ࡍ㸬

L1

㸪

L2

㸪

N1

ヨ㦂యࡣ㸪ᖏᙧ≧ࡢᯈཌ

6 mm

㸪ᖜ

90 mm

㸪

඲㛗

800 mm

ࡢ㗰ᮦࢆ㸪T1 ヨ㦂యࡣ

CFRP

➃㒊࿘㎶ࡢ

ᯈᖜࢆ

2

ಸ࡟ࡋ࡚࠸ࡿ㸬

㗰✀ࡣ

L1㸪L2㸪T1

ヨ㦂యࡣ

H-SA700㸪N1

ヨ㦂

యࡣ

SS400

࡜ࡋࡓ㸬࠸࡙ࢀࡢヨ㦂యࡶ୰ᙎᛶᆺⅣ⣲⧄

⥔ࣉ࣮ࣞࢺ

(CFRP ML:

ᖜ

50 mm

㸪ᯈཌ

2 mm)

୍ᒙࢆ

୧㠃࡟᥋╔ࡋ㸪

L1

ヨ㦂యࢆᇶ‽࡟㸪

L2

ヨ㦂య࡛ࡣ

2

ಸ㸪

T1

ヨ㦂య࡛ࡣ

0.7

ಸ㸪

N1

ヨ㦂య࡛ࡣ

0.5

ಸ࡜࡞

ࡿࡼ࠺

CFRP

ࡢᅄ㝮࡟ᚄࡀỴࡲࡗࡓ㔪㔠ࢆධࢀࡿࡇ࡜

࡛᥋╔ᒙཌࢆㄪᩚࡋࡓ㸬

㝆అᛂຊᗘࡀ

SS400

ࡢ

2

ಸ௨ୖ࠶ࡿ

H-SA700

ࢆ

⏝࠸ࡿࡢࡣ㸪᥋╔๣ࡢࡏࢇ᩿ᙉᗘ࡟㐩ࡍࡿ๓࡟㗰ᯈࡀ 㝆అࡍࡿࡇ࡜ࢆ㜵Ṇࡍࡿࡓࡵ࡛࠶ࡿ㸬

ᘬᙇ⪏ຊᨵၿຠᯝࡢᇶ‽࡜ࡍࡿࡓࡵ㸪

L1

ヨ㦂యࢆ㸪 ᥋╔ᒙཌࡢᘬᙇ⪏ຊ࡟ཬࡰࡍᙳ㡪ࢆ᳨ウࡍࡿࡓࡵ㸪

L2

ヨ㦂య

(

ᨵၿἲ

1

ࡢ᳨ウ

)

ࢆ㸪᥋╔๣➃㒊⿵๛ࡢᘬᙇ⪏

ຊ࡟ཬࡰࡍᙳ㡪ࢆ᳨ウࡍࡿࡓࡵ

T1

ヨ㦂య

(

ᨵၿἲ

2

ࡢ

᳨ウ

)

ࢆ㸪㗰ᯈ㝆అᚋࡢ᥋╔≉ᛶࢆ᳨ウࡍࡿࡓࡵ

N1

ヨ 㦂యࢆ⏝ពࡋࡓ㸬

㗰ᯈ㸪

CFRP

㸪᥋╔๣ࡢ⣲ᮦ≉ᛶࢆ⾲

2

㸪

3

࡟♧ࡍ㸬 ᥋╔๣ࡣ஧ᾮࢱ࢖ࣉࡢᖖ ◳໬ᆺ࢚࣏࢟ࢩᶞ⬡ࢆ౑⏝

ࡍࡿ㸬᥋╔๣ࡣ୺๣

2

㸸◳໬๣

1

ࡢ๭ྜ࡛ㄪྜࡋ㸪

CFRP

㈞௜ࡅᚋ㸪Ẽ 

5

Υ௨ୖࡢ⎔ቃ࡛

7

᪥௨ୖ㣴⏕ࡋࡓ㸬

ۑ㍕Ⲵࣉࣟࢢ࣒ࣛ

㍕Ⲵࣉࣟࢢ࣒ࣛࡣ༢ㄪᘬᙇ࡜ࡋ㸪CFRP ࡢࡣࡃ㞳

◚ቯࡍࡿࡲ࡛㍕Ⲵࢆ⾜ࡗࡓ㸬ヨ㦂⿦⨨ࡣ

2000 kN

ࡢ࢔

࣒ࢫ࣮ࣛヨ㦂ᶵࢆ⏝࠸ࡿ㸬

2

cosh sinh

a

a L

s s a

P G x

E A t

2

cosh sinh

c c a

L

s s c c a

P E A t x

E A E A A

cosh 1

cosh2

c c

s s c c

x P E

E A E A L

cosh

1 1

cosh2

c c c c

s

s s s s s c c

x

P A P E A

A A A E A E A L

max

2

cosh sinh2

c c a

a L

s s c c a

P E A t L

E A E A A

tanh2

c c a

s s c c a

P E A t L

E A E A A

max

c c a

a

s s c c a

P E A t

E A E A A

max ( )

a c c

a

a a s s s s c c

G E A

P t W E A E A E A

Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡜㗰࡜ࡢ」ྜᮦࡢ᥋╔๣ࡏࢇ᩿⪏ຊࠉࡑࡢ㸯ᘬᙇ㍕Ⲵヨ㦂

23

ۑィ ᪉ἲ

ィ ࡣ㸪Ⲵ㔜

P

ࡣ࢔࣒ࢫ࣮ࣛヨ㦂ᶵࡢⲴ㔜ィ࠿ࡽ㸪 ࡦ ࡎ ࡳ ࡣ ᅗ

3

࡟ ♧ ࡍ ⟠ ᡤ ࡟ ࡦ ࡎ ࡳ ࢤ ࣮ ࢪ ࢆ ㈞ ௜ ࡋ

CFRP

ࡢᮦ㍈᪉ྥᆶ┤ࡦࡎࡳࢆ➃㒊࠿ࡽ㸪

5mm

㸪

45mm

㸪

50mm㸪100mm

ࡢ㛫㝸࡟(G1㸪G2㸪

G3㸪G4)࡜୪࡭࡚㸪

ࡲࡓ㗰ᯈࡢࡦࡎࡳࡣ

CFRP

➃㒊఩⨨

(G5)ࢆ⟩ࡦࡎࡳ

ࢤ࣮ࢪࢆ⏝࠸࡚ィ ࡋࡓ㸬

Ⲵ㔜ࡢቑຍ࡟ᑐࡋ࡚㸪G1 Ⅼࡢ

CFRP

ࡢࡦࡎࡳ್ࡀ

ࣆ࣮ࢡ࡜࡞ࡾῶᑡࡋጞࡵࡿⲴ㔜ࢆࡣࡃ㞳Ⲵ㔜

Pcr

࡜ࡋ

࡚ồࡵࡓ㸬

᭷㝈せ⣲ゎᯒ

4.1

⠇࡛㏙࡭ࡓ⾲

1

ࡢᘬᙇヨ㦂యࡍ࡭࡚࡟ࡘ࠸࡚᭷

㝈せ⣲ἲゎᯒࢆ⾜ࡗ࡚

CFRP㸪㗰ᯈࡢᆶ┤ᛂຊศᕸ㸪

᥋╔๣ࡢࡏࢇ᩿ᛂຊศᕸࢆồࡵࡿ㸬≉࡟⌮ㄽᘧ࡛ࡣ⾲

ࡏ࡞࠸ኚ᩿㠃㗰ᯈࡢྛᛂຊศᕸࢆヲ⣽࡟᳨ウࡍࡿ㸬 ゎᯒᑐ㇟ࡣᖹ㠃ᛂຊ≧ែ࡟࠶ࡿ࡜௬ᐃࡋ㸪2 ḟඖၥ 㢟࡜ࡋ࡚ྲྀᢅ࠺㸬ࡲࡓ㸪ᑐ㇟ࡢᑐ⛠ᛶ࠿ࡽ

1/4

㡿ᇦࢆ

ゎᯒࡍࡿ㸬

ᗄఱᏛⓗቃ⏺᮲௳ࡣ㸪㗰ᯈୗ㠃ࢆ㖄┤᪉ྥ࡟㗰ᯈ୰

ኸࢆỈᖹ᪉ྥ࡟ኚ఩ࢆᣊ᮰ࡋࡓ㸬ຍຊࡣ⮬⏤➃࡟ᙉไ ኚ఩ ࢆ୚࠼࡚⾜ࡗࡓ㸬ᮦ㍈᪉ྥ࡟

x

㍈ࢆ࡜ࡾཎⅬࢆ

㗰ᯈ୰ኸ࡜ࡋࡓ㸬

せ⣲ࡣᐃṍ୕ゅᙧせ⣲ࢆ⏝࠸㸪඲せ⣲ศ๭ᩘࡣ

4800

࡜ࡋࡓ㸬ᑦ㸪Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺࡣ␗᪉ᛶᮦᩱ࡛࠶ࡿࡀ㸪 ᮏゎᯒ࡛ࡣ➼᪉ᆒ㉁ᮦᩱ࡜ࡋ࡚ྲྀᢅࡗࡓ㸬

ヨ㦂࡜ゎᯒࡢ⤖ᯝ

ヨ㦂ཬࡧゎᯒࡢ⤖ᯝࢆ⾲

4

㸪ᅗ

4

㹼

6

࡟♧ࡍ㸬

⾲

4

࡟ࡣྛヨ㦂యࡢ౑⏝᥋╔๣ྡ㸪᥋╔ᒙཌ

ta

㸪ࡣ ࡃ㞳Ⲵ㔜

Pcr

㸪⌮ㄽᘧࡲࡓࡣ᭷㝈せ⣲ゎᯒ࡛ồࡵࡓ㸪༢

఩Ⲵ㔜࠶ࡓࡾࡢ᥋╔๣᭱኱ࡏࢇ᩿ᛂຊᗘ

amax P

㸪᥋╔

๣ࡢࡏࢇ᩿⪏ຊ

cr

ࢆ♧ࡍ㸬

cr

ࡣḟᘧ࡛⟬ᐃࡋࡓࠋ

͐͐͐͐͐͐͐͐(12)

ᅗ

4

࡟ࡣྛヨ㦂యࡢⲴ㔜

P

࡜ࡦࡎࡳ 㛵ಀࡢᐇ㦂್

ࢆ♧ࡍ㸬ᅗ

5

࡟ࡣⲴ㔜

P

ࡀ

70 kN

ࡢ᫬ࡢ

CFRP

࡜㗰ࡢ ᆶ┤ᛂຊศᕸࢆ

L1㸪L2

ヨ㦂య࡟ࡘ࠸࡚ࡣ㸪

CFRP

ࡢᛂ

ᅗ ヨ㦂యᙧ≧

D L1,L2,N1ヨ㦂య ET1ヨ㦂య

⾲㸯 ヨ㦂యࢩ࣮ࣜࢬ

W₁

㸸㗰ᯈࡢᯈᖜ㸪

W₂

㸸CFRP ➃㒊ࡢ㗰ᯈࡢᯈᖜ㸪

W_a= 50 mm N1 SS400 E258RW 90.1 90.1 5.96 0.46 L1 H-SA700 E258RS 90.7 90.7 6.07 0.97 L2 H-SA700 E258RS 90.8 90.8 6.05 1.84 T 1 H-SA700 E258RS 89.9 179.2 5.94 0.66

ts

mm ta

㗰ᮦ

mm

ヨ㦂యྡ ᥋╔๣

W1

mm W2

mm

⾲ 㗰ᮦ࡜CFRPࡢ⣲ᮦ≉ᛶ

ࣖࣥࢢಀᩘ 㝆అᛂຊ ᘬᙇᙉᗘ ◚᩿ࡦࡎࡳ ୍ᵝఙࡧ ⤠ࡾ

N/mm² N/mm² N/mm² % % %

H-SA700 205000 795 862 11.7 6.6 48.0

SS400 205000 329 443 26.1 15.4 58.6

CFRP ML 295000

㸫

2,169 0.71

㸫 㸫

⾲ ᥋╔๣ຊᏛ≉ᛶ

ࣖࣥࢢಀᩘ

ᶓᙎᛶಀᩘ

᭤ࡆᙉᗘ ᅽ⦰㝆అᙉᗘ ᘬᙇᙉᗘ ᘬᙇࡏࢇ᩿௜╔ᙉᗘ ⾪ᧁᙉᗘ

N/mm² N/mm² N/mm² N/mm² N/mm² N/mm² kJ/mm²

E258RW 4000 1438 61.0 67.0 37.0 27.0 4.2

E258RS 3100 1115 58.0 71.0 34.0 29.0 4.2

JIS K7208 JIS K7208 JIS K7203 JIS K7208 JIS K7113 JIS K6850 JIS K7111

᥋╔๣ྡ

max

cr Pcr a P

⋢஭ᏹ❶㸪㝕ᕝ᫭ྖ㸪୰ᮧ᠇୍

24

*

㗰ᯈ㝆అⲴ㔜

** F.E.M.ゎᯒ࡟ࡼࡿ

⾲ ᐇ㦂࣭ゎᯒ⤖ᯝ

ta Pcr

mm kN N/mm²/kN N/mm²

L1 E258RS 0.968 162.6 (1.00) 0.187 (1.00) 30.44

L2 E258RS 1.844 202.9 (1.25) 0.138 (0.74) 27.92

T 1 E258RS 0.66 201.9 (1.24) 0.122** (0.65) 24.6**

N1 E258RW 0.46 148.2* (0.91) 0.319 (1.70) -

Ave. - - - - 29.2

ヨ㦂యྡ ᥋╔๣

^amax

P

_cr

E L2ヨ㦂య D L1ヨ㦂య

ᅗ ྛヨ㦂యࡢⲴ㔜ࡦࡎࡳ㛵ಀ

F T1ヨ㦂య G N1ヨ㦂య

Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡜㗰࡜ࡢ」ྜᮦࡢ᥋╔๣ࡏࢇ᩿⪏ຊࠉࡑࡢ㸯ᘬᙇ㍕Ⲵヨ㦂

25

ຊࡣᐇ㦂್ࢆۑ༳࡛⌮ㄽ್ࢆᐇ⥺࡛㸪᭷㝈せ⣲ゎᯒ್

ࡣ◚⥺࡛♧ࡍ㸬㗰ᯈࡢᛂຊࡣᐇ㦂್ࢆی࡛♧ࡍ㸬ᐇ㦂

್ࡢᛂຊࡣࡦࡎࡳࢤ࣮ࢪ࠿ࡽồࡵࡓࡦࡎࡳ್࡟⣲ᮦࡢ

ࣖࣥࢢ⋡ࢆ࠿ࡅࡓ್ࢆ᥇⏝ࡋࡓ㸬

ᅗ

6

࡟ࡣ

P As

࡛↓ḟඖ໬ࡋࡓ᥋╔๣ࡢࡏࢇ᩿ᛂຊ

( )

a P As

ࡢศᕸࢆ

L1

㸪

L2

ヨ㦂య࡛ࡣ⌮ㄽ್ࢆ

T1

ヨ㦂 య࡟ࡘ࠸࡚ࡣ᭷㝈せ⣲ゎᯒ್ࢆᐇ⥺(L1)㸪◚⥺

(L2)㸪

୍Ⅼ㙐⥺(T1)࡛♧ࡋ㸪᭱኱ࡏࢇ᩿ᛂຊ࡟ࡘ࠸࡚

L1

ヨ㦂 య࡟ᑐࡍࡿẚࡢⓒศ⋡ࢆేࡏ♧ࡍ㸬

ྛ㡯┠࡟ࡘ࠸࡚ࡢ⪃ᐹࢆࡲ࡜ࡵ࡚♧ࡍ㸬

ۑCFRPࡢࡦࡎࡳᛶ≧

1)

ᅗ

4

ࡼࡾ࠸࡙ࢀࡢヨ㦂య࡟ࡘ࠸࡚ࡶ

CFRP

➃㒊ࡢࡦ ࡎࡳ(G1)ࡀࣆ࣮ࢡ࡜࡞ࡿ࡜

G2

ࡢࡦࡎࡳࡢቑຍ㔞ࡀ ῶᑡࡍࡿ㸬

2) N1

ヨ㦂య࡛ࡣ㸪ࡣࡃ㞳Ⲵ㔜(㗰ᯈࡢ㝆అⲴ㔜)࡟㐩ࡍ

ࡿ࡜

G5

ࡢ㗰ᯈࡢࡦࡎࡳࡣᛴቑࡍࡿ୍᪉㸪L1㸪L2㸪

T1

ヨ㦂య࡛ࡣ㸪ࡣࡃ㞳Ⲵ㔜ᚋࡶ㗰ᯈࡢࡦࡎࡳࡢቑຍ

⋡࡟኱ࡁ࡞ኚ໬ࡣ࡞࠸㸬ࡼࡗ࡚

L1㸪L2㸪T1

ヨ㦂య

࡛ࡣ㗰ᮦࡢᙎᛶ⠊ᅖෆ࡛᥋╔๣ࡢࡣࡃ㞳ࡀ⏕ࡌࡓ࡜

࠸࠼ࡿࠋ

ۑ⌮ㄽゎࡢጇᙜᛶ

3)

ᅗ

5(a)

㸪

(b)

ࡼࡾ

2

⠇࡛♧ࡋࡓ⌮ㄽ್ࡣᙎᛶ⠊ᅖෆ࡛

CFRP

➃㒊㏆ഐࡢᛂຊపୗ≉ᛶࢆⰋዲ࡟⾲ࡍ㸬

4)

ࡋࡓࡀࡗ࡚ᛂຊࡢ㔮ࡾྜ࠸࡛ồࡲࡿ᥋╔๣ࡢࡏࢇ

᩿ᛂຊศᕸ⌮ㄽ್ࡣ㸪ጇᙜ࡜࠸࠼ࡿ㸬

ۑ᭷㝈せ⣲ゎᯒ್ࡢ⢭ᗘ

5)

ᅗ

5(a)

㸪

(b)

ࡼ ࡾ ௒ ᅇ ⾜ ࡗ ࡓ ゎ ᯒ ࡢ せ ⣲ ศ ๭ ࡔ ࡜

CFRP

ࡢᆶ┤ᛂຊศᕸࡣ⌮ㄽ್࡜Ⰻዲ࡟୍⮴ࡍࡿ㸬

6)

ᅗ

5(c)ࡼࡾኚ᩿㠃ࡢ㗰ᯈࡢሙྜࡶ㸪ᐇ㦂್࡜᭷㝈せ

⣲ゎᯒ್ࡢᆶ┤ᛂຊศᕸࡣ࡯ࡰ୍⮴ࡍࡿࡇ࡜࠿ࡽ㸪

᭷㝈せ⣲ἲ࡛ồࡵࡓ᥋╔๣ࡢࡏࢇ᩿ᛂຊศᕸࡣጇᙜ

࡛࠶ࡿ㸬

ۑ᥋╔๣ࡢࡏࢇ᩿⪏ຊ

7)

⾲

4

ࡼࡾ᥋╔ᒙཌࡸኚ᩿㠃㗰➼㸪ᵝࠎ࡛ࡶࡣࡃ㞳᫬

࡟⏕ ࡌࡿ ᭱኱ ࡏࢇ ᩿ᛂ ຊ

cr(

ࡣ ࡃ㞳 ࡏࢇ ᩿⪏ ຊ

)

ࡣ

30.44~24.6N/mm²

࡛ᖹᆒ

27.7/mm²

࡜࡞ࡿ㸬ࡇࡢࡇ࡜

࠿ࡽ᥋╔๣ࡢ⪏ຊࡣ᭱኱ࡏࢇ᩿ᛂຊࡢࡳุ࡛ᐃࡋ࠺

ࡿྍ⬟ᛶࡀ࠶ࡿ㸬

ۑ」ྜᮦࡢᘬᙇ⪏ຊᨵၿἲࡢጇᙜᛶ

8)

⾲

4

ཬࡧᅗ

6

ࡼࡾ

L2

ヨ㦂యࡢ⪏ຊࡣ

L1

ヨ㦂యࡢ

1.25

ಸ࡜࡞ࡿࡇ࡜࠿ࡽ᥋╔ᒙཌࡢቑ኱ࡣ」ྜᮦࡢᘬ ᙇ⪏ຊᨵၿ࡟᭷ຠ࡛࠶ࡿ㸬

ᅗ CFRP࡜㗰ࡢᆶ┤ᛂຊศᕸ FT1ヨ㦂య DL1ヨ㦂య

E L2ヨ㦂య

ᅗ ᥋╔๣ࡢࡏࢇ᩿ᛂຊศᕸ

⋢஭ᏹ❶㸪㝕ᕝ᫭ྖ㸪୰ᮧ᠇୍

26

9)

ᅗ

6

ࡼࡾࡣࡃ㞳⌧㇟ࡀ➃㒊࡟࠾ࡅࡿ᭱኱ࡏࢇ᩿ᛂ ຊ࡛Ỵᐃࡉࢀࡿ࡞ࡽ㸪CFRP ➃㒊ࡢࡳࡢ㗰ᯈࡢ⿵๛

࡟ࡼࡾ᥋╔ᒙࢆཌࡃࡍࡿࡇ࡜࡜ྠ➼ࡢຠᯝࡀ࠶ࡿ㸬

ࡲ࡜ࡵ

ᮏሗ ࡛ࡣ ᥋╔ ๣ࡢ ◚ቯ ᮲௳ ࢆ᫂ ࡽ࠿ ࡟ࡍ ࡿࡓ ࡵ࡟

CFRP

࡟ࡼࡗ࡚᥋╔⿵ᙉࡉࢀࡓ㗰㒊ᮦࡢ᥋╔ᛂຊศᕸ ࡢ⌮ㄽゎࢆᑟฟࡋ㸪ᐇ㦂ཬࡧゎᯒࢆ⾜࠸᥋╔๣ࡢ◚ቯ ᮲௳ࡢ᳨ウࢆ⾜ࡗࡓ㸬ࡲࡓ㸪」ྜᮦࡢᘬᙇ⪏ຊᨵၿἲ

࡟ࡘ࠸࡚ࡶᥦ᱌ཬࡧ᳨ウࢆ⾜ࡗࡓ㸬

ᮏ◊✲࡛ᚓࡽࢀࡓ▱ぢࡣ௨ୗࡢࡼ࠺࡟せ⣙࡛ࡁࡿ㸬

1)

⌮ㄽゎࡣᐇ㦂್㸪ゎᯒ್࡜Ⰻዲ࡟୍⮴ࡋ࡚࠸ࡿ㸬

ࡇࡢࡇ࡜࠿ࡽ⌮ㄽゎ࡜ゎᯒ್ࡢ⢭ᗘࡣⰋዲ࡛࠶ࡿ㸬

2)

᥋╔ᒙཌࡸ㗰ᯈࡀኚ᩿㠃ࡢሙྜ࡟࠾࠸࡚ࡶࡣࡃ

㞳 ⌧ ㇟ ࡀ ⏕ ࡌ ࡿ ᭱ ኱ ࡏ ࢇ ᩿ ᛂ ຊ ࡣ ᖹ ᆒ

27.7 N/mm²

࡜኱ࡁࡃࡤࡽࡘ࠿࡞࠸ࡇ࡜࠿ࡽ㸪ࡣࡃ㞳⪏

ຊࡣ᥋╔๣ࡢᙎᛶ᭱኱ࡏࢇ᩿ᛂຊุ࡛ᐃ࡛ࡁࡿྍ

⬟ᛶࡀ࠶ࡿ㸬

3)

᥋╔ᒙཌࢆ኱ࡁࡃࡍࡿ࡜」ྜᮦࡢᘬᙇ⪏ຊࡣᨵ ၿࡍࡿ㸬

4) CFRP

➃㒊ࡢ㗰ᯈࡢ⿵๛ࡣ⌮ㄽⓗ࡟ࡣ」ྜᮦࡢᘬ

ᙇ⪏ຊࡣᨵၿࡍࡿ㸬

௒ᚋࡢㄢ㢟࡜ࡋ࡚ࡣ㸪௒ᅇヨ㦂ࢆ⾜ࡗࡓヨ㦂యࡣ

4

య

࡛࠶ࡾ㸪᥋╔๣ࡢṇ☜࡞ᙎᛶ᭱኱ࡏࢇ᩿ᛂຊࢆุᐃࡍ

ࡿ࡟ࡣヨ㦂యᩘࡀ㊊ࡾ࡞࠸࡜ᛮࢃࢀࡿࠋࡑࡇ࡛㸪

L1

ヨ 㦂య࡜

L2

ヨ㦂య࡜ྠᑍἲࡢヨ㦂యࢆ」ᩘ〇సࡋ㸪௒

ᅇ࡜ྠᵝࡢヨ㦂ࢆ⾜࠺ࡇ࡜࡛㸪ࡼࡾṇ☜࡞᥋╔๣ࡢᙎ ᛶ᭱኱ࡏࢇ᩿ᛂຊࡢุᐃࢆ⾜࠺㸬

ཧ⪃ᩥ⊩

1)

⋢஭ᏹ❶㸪㧗ᯇ㝯ኵ㸪ཎఙᖾ㸪⅊㇂ᚨ἞㸪᭹㒊᫂⏕㸸 㐃⥆⧄⥔ࣉ࣮ࣞࢺ࡟ࡼࡿ㗰ᵓ㐀ᘓ≀ࡢ⿵ᙉἲ࡟㛵ࡍࡿ

ᇶ♏ⓗ◊✲㸪㗰ᵓ㐀ᖺḟㄽᩥሗ࿌㞟㸪➨

12

ᕳ㸪

pp.239-246㸪 2004.11.

2)

⋢஭ᏹ❶㸪㧗ᯇ㝯ኵ㸪ཎఙᖾ㸪⅊㇂ᚨ἞㸪᭹㒊᫂⏕㸪

Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡟ࡼࡿ㗰ᵓ㐀ᘓ≀ࡢ㛗ᑑ࿨໬࡟㛵ࡍ

ࡿᇶ♏ⓗ◊✲㸦ࡑࡢ㸯㸧ᑠࡤࡾࡢ᭤ࡆ⿵ᙉ࡟ࡘ࠸࡚ᗈᓥ ᕤᴗ኱Ꮫ⣖せ㸪◊✲⦅㸪➨

39

ᕳู෉㸪

pp.119-128ࠊ2005.2㸬 3)

▼ᕝᩄஅ㸸ࣉࣞࢫࢺࣞࢫࡀᑟධࡉࢀࡓ

CFRP

ᯈ᥋╔㗰

㒊ᮦࡢࡣࡃ㞳᭤ࡆ࣮࣓ࣔࣥࢺ㸪ᵓ㐀ᕤᏛㄽᩥ㞟㸪Vol㸪

56A㸪pp991-998㸪2010㸬

4)

኱಴୍㑻㸪⚟஭၏ኵ㸪୰ᮧᆂ࿃㸪ᯇୖὈ୕㸪Ⅳ⣲⧄⥔

ࢩ࣮ࢺ࡟ࡼࡿ㗰ᯈᛂຊࡢపୗ࡜ࡣࡃ㞳ࡏࢇ᩿ᛂຊ㸪ᅵᮌ Ꮫ఍ㄽᩥ㞟㸪No.689/I-57㸪pp239-249㸪2001.10

5)

ᑠ 㔝 ᫀ Ꮥ 㸸 ᥋ ╔ ࡜ ᥋ ╔ ๣ 㸪 ㈈ ᅋ ἲ ே ᪥ ᮏ つ ᱁ ༠ ఍ 㸪

pp179-190,1991.

6)

኱἟ᗣ஧㸪㔠ᒓእ∧᥋╔㒊ࡢᛂຊศᕸ࡜ᙉࡉ≉ᛶ࡟ࡘ

࠸࡚㸪᪥ᮏ⯟✵Ꮫ఍ㄅ➨

7

ᕳ㸪➨

60

ྕ㸪1959

ᖺ1᭶ 7)

⋢஭ᏹ❶㸪᭹㒊᫂⏕㸪ᑠ⃝ྜྷᖾ㸪㧗ᯇ㝯ኵ㸪⅊㇂ᚨ἞㸪

ஂಖ⏣ၨோ㸪Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡜㗰࡜ࡢ」ྜᮦࡢ᥋╔ᛂ ຊ࡟ࡘ࠸࡚㸪᪥ᮏᘓ⠏Ꮫ఍Ꮫ⾡ㅮ₇᱾ᴫ㞟㸪No22473㸪

945~946㸪2013.8.

ㅰ㎡

ᮏ◊✲ࢆᐇ᪋ࡍࡿ࡟࠶ࡓࡾ, 㧗ᯇ㝯ኵ(ᗈᓥᕤ኱

),᭹

㒊᫂⏕, ⸨ᮏಙ௓( ᮾࣞᘓタ),ᇼ஭ஂ୍(ࢥࢽࢩ(ᰴ

)),ᯇ

஭Ꮥὒ

(

ᮾࣞ

(

ᰴ

))

ࡢㅖẶ࡟ࡣ

,

ヨ㦂యసᡂࡢ༠ຊࢆ㡬ࡁ

ࡲࡋࡓ.ࡇࡇ࡟グࡋ࡚ㅰពࢆ⾲ࡋࡲࡍ.

Ⅳ⣲⧄⥔ࣉ࣮ࣞࢺ࡜㗰࡜ࡢ」ྜᮦࡢ᥋╔๣ࡏࢇ᩿⪏ຊࠉࡑࡢ㸯ᘬᙇ㍕Ⲵヨ㦂

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