㕲➽ࢥࣥࢡ࣮ࣜࢺ㦵⤌ࡢᗙᒅᣊ᮰➽㐪ࡢά⏝㛵ࡍࡿ◊✲ ࡑࡢ ࢥࢵࢱ࣮ࡢ᭷㝈せ⣲ゎᯒ⪏ຊホ౯ 㕲➽ࢥࣥࢡ࣮ࣜࢺᵓ㐀 ᗙᒅᣊ᮰➽㐪 ᭷㝈せ⣲ゎᯒ ࡏࢇ᩿ᢠᶵᵓ ṇဨ ྠ ྠ ࢥࢵࢱ࣮ Strut-and-Tie Model ྠ ᗎ ۑ᭤ ဴ *1 ྜྷᩜ⚈୍*3 ᒾῲ୍ᚨ*5 ᆏ⏣ᘯᏳ*6 ṇဨ ྠ ྠ ྠ ẖ⏣ᝆᢎ*2 ๓ᕝ㞝*4 ௰᐀᰿῟*4 ⏣ ❶*7 ᭱⪏ຊࡢࢥࢵࢱ࣮➽ࡢࡦࡎࡳᗘศᕸࡢゎᯒ್ᐇ ๓ሗ㸦ࡑࡢ10㸧࡛ࡣࢥࢵࢱ࣮ࡢせ⣲ᐇ㦂ࢆ⾜࠸㸪ࢥࢵ 㦂್ࡢẚ㍑ࢆᅗ3♧ࡍ㸬୧⪅ࡣⰋ࠸ᑐᛂࢆ♧ࡋ㸪ࡦࡎࡳ ࢱ࣮ࡢࡏࢇ᩿⪏ຊཬࡧ㸪ࢥࢵࢱ࣮➽ࡢࡦࡎࡳᗘศᕸ㛵 ᗘศᕸࡣᐇ㦂ྠᵝࡢᙧ≧࡛࠶ࡿ㸬 ࡍࡿᇶ♏ࢹ࣮ࢱࢆᚓࡓ㸬ᮏሗ㸦ࡑࡢ11㸧࡛ࡣࢥࢵࢱ࣮ࡢ ࠙ࢥࢵࢱ࣮ࡢᛂຊᗘศᕸࠚ ᭷㝈せ⣲ゎᯒࡢ᭷ຠᛶࢆᐇ㦂ࡢẚ㍑ࡽ᳨ドࡍࡿ ᭱⪏ຊࡢࢥࢵࢱ࣮ࡢࢥࣥࢡ࣮ࣜࢺࡢᛂຊᗘศᕸ ࡶ㸪᪤ ࡢࢥࢵࢱ࣮ࡢ⪏ຊホ౯ᘧࢆࡶホ౯ᘧࢆᥦ ࢆᅗ4♧ࡍ㸬㍕ⲴⅬ㏆ࡢࢥࢵࢱ࣮ࡢࢥࣥࢡ࣮ࣜࢺࡢ᭱ ࡋ࡚㸪ࡑࡢጇᙜᛶࢆ♧ࡍ㸬 ⠇Ⅼ➼ࡋ࠸ᙉไኚ ࢥࢵࢱ࣮᥋ྜ㒊ࡢḟඖ᭷㝈せ⣲ゎᯒ Vc ゎᯒᴫせ ࣔࢹࣝ Y ᪉ྥᣊ᮰ (ᑐ⛠᮲௳㐺⏝) ゎᯒࡣ”FINAL Ver.11”ࢆ⏝࠸ࡓ㸬3ḟඖゎᯒࡋ㸪ᙧ ≧ཬࡧ㍕Ⲵࡢᑐ⛠ᛶࢆ⏝ࡋ࡚ヨ㦂యࡢ༙ศࢆࣔࢹࣝ ࡋࡓ㸬ࢥࣥࢡ࣮ࣜࢺࡣභ㠃యせ⣲ࢆ⏝࠸㸪㕲➽ࡣ⥺ X ᪉ྥᣊ᮰ Z Y X,Y ᪉ྥᣊ᮰ ᮦせ⣲ࢆ⏝࠸ࡓ㸬ࢥࣥࢡ࣮ࣜࢺᰕࡢ➽ཬࡧᖏ➽㛫ࡢ X,Z ᪉ྥᣊ᮰ C.L. X ╔ࡍࡾ≉ᛶࡣ╔ࡋࡓ㸬୍᪉㸪ࢥࢵࢱ࣮➽ ⠇Ⅼኚ ᣊ᮰᮲௳ ࢥࣥࢡ࣮ࣜࢺ㛫ࡣ╔ࡍࡾࢆ⾲⌧ࡍࡿࣛࣥせ⣲ࢆ ⏝࠸ࡓ㸬ቃ⏺᮲௳ࡣᅗ1♧ࡍ㏻ࡾࡋࡓ㸬 ᅗ ゎᯒࣔࢹࣝ㸦S1㸧 㸦༢㸸mm㸧 ᮦᩱᵓᡂ๎ Hana ࠙ࢥࣥࢡ࣮ࣜࢺࠚ ࢥࣥࢡ࣮ࣜࢺࡢ V㸫 H㛵ಀཬࡧࡦࡧࢀ㠃ࡢࡏࢇ᩿ఏ㐩 1500 Vc[kN] ゎᯒ 2 max/Hy㸪Htest max/Hy 1 Vc 0 ᐇ㦂 ≉ᛶ㸪ࡦࡧࢀᚋࡢᅽ⦰ຎ≉ᛶࡣ๓ሗ㸦ࡑࡢ9㸧ࡢ㒊ศ ᯫᵓࡢ᭷㝈せ⣲ゎᯒྠᵝࡋࡓ㸬3㍈ᛂຊୗࡢ◚ቯ᮲௳ ゎᯒ ࡣᑠ㜰ࡽ 1)ࡢಀᩘࢆ⏝࠸ࡓ4ࣃ࣓࣮ࣛࢱࣔࢹࣝࡼࡾỴᐃ ࡋࡓ㸬 Gc[mm] ࠙㗰ᮦࠚ ᰕ➽㸪ᖏ➽㸪ࢥࢵࢱ࣮➽㸪㗰ᯈ࡞ࡢ㗰ᮦࡢ V㸫 H㛵 ಀࡣᘬᙇヨ㦂ࢆᇶࣂࣜࢽᆺࣔࢹࣝࡋࡓ㸬 0 ᐇ㦂 1.5 ᅗ Ⲵ㔜ኚᙧ㛵ಀ㸦S3㸧 ࠙╔ࠚ ࢥࢵࢱ࣮➽ࢥࣥࢡ࣮ࣜࢺ㛫ࡢ╔ࡍࡾ≉ᛶࡣ ᅗ ࢥࢵࢱ࣮➽ࡢࡦࡎࡳᗘ ศᕸ㸦S4㸧 Vc Elmorsiࡽࡢࣔࢹࣝ 2)ࢆ⏝࠸㸪᭱╔ᙉᗘࡣᩥ⊩3ࡼࡾ ຍຊ᪉ྥᖹ⾜ ồࡵ㸪᭱╔ᙉᗘࡢࡍࡾࡣ0.1mmࢆ௬ᐃࡋࡓ㸬 ゎᯒ⤖ᯝ⪃ᐹ ᰕഃὶࢀࡿ ࠙Ⲵ㔜ኚᙧ㛵ಀࠚ ゎᯒࡼࡾᚓࡽࢀࡓⲴ㔜-ኚᙧ㛵ಀࢆᐇ㦂⤖ᯝẚ㍑ࡋ࡚ ᭱ᑠ ᅗ2♧ࡍ㸬࠸ࡎࢀࡢヨ㦂య࠾࠸࡚ࡶ᭱⪏ຊ㸪๛ᛶ ᭱ ࡶゎᯒ್ᐇ㦂್ࡣẚ㍑ⓗⰋ࠸ᑐᛂࢆ♧ࡋ࡚࠸ࡿ㸬 ซ㸸2mm=45N/mm2 ࠙ࢥࢵࢱ࣮➽ࡢࡦࡎࡳᗘศᕸࠚ ᅗ ࢥࣥࢡ࣮ࣜࢺࡢᛂຊᗘศᕸ㸦S1㸧 Applications of Buckling Restrained Braces in Reinforced Concrete Frames Part 11. Finite Element Analysis and Strength Evaluation of Reinforced Concrete Corbels QU Zhe, MAIDA Yusuke, KISHIKI Shoichi, MAEGAWA Toshio, IWABUCHI Kazunori, NAKASONE Jun, SAKATA Hiroyasu and WADA Akira ᑠᛂຊᗘࡣຍຊ᪉ྥᖹ⾜స⏝ࡋ㸪㍕ⲴⅬࡽ㞳ࢀ ࡞࠾㸪n=Es/Ec㸸ࢥࢵࢱ࣮➽ࢥࣥࢡ࣮ࣜࢺࡢࣖࣥࢢಀᩘ ࡓ⨨ࡢࢥࢵࢱ࣮ࡢࢥࣥࢡ࣮ࣜࢺࡢ᭱ᑠᛂຊᗘࡣᰕഃ ẚ㸪d㸸ࢥࢵࢱ࣮ࡢ᭷ຠࡏ࠸㸪Us㸸ࢥࢵࢱ࣮➽ࡼࡿࡏࢇ ὶࢀ࡚࠸ࡿࡇࡀࢃࡿ㸬 ᩿⿵ᙉ➽ẚ࡛࠶ࡿ㸬 ᮏሗ࡛ࡣdUsࢆỴᐃࡍࡿ㝿㸪ࢥࢵࢱ࣮➽ࡢᛂຊᗘศᕸ ⪏ຊホ౯ ࡣ㍕Ⲵ➃ࢆ㝆అ㸸Vy㸪ᑐഃ➃㒊ࢆ0ࡍࡿ⥺ᙧศᕸࡢྜ ⪏ຊホ౯ᘧࡢᵓ⠏ ᮏ❶࡛ࡣࢥࢵࢱ࣮ࡢ⪏ຊホ౯ࡋ࡚Russoࡽࡼࡗ࡚ᥦ 4) ࡉࢀࡓࣔࢹࣝ ಟṇࢆຍ࠼㸪⪏ຊホ౯ᘧࡢጇᙜᛶࢆ᳨ ຊࢆ௬ᐃࡍࡿ㸬ᐇ㦂ཬࡧゎᯒࡽᚓࡓࡦࡎࡳᗘศᕸࡸ ᛂຊᗘศᕸࡽࡶ㸪ࡇࡢᛂຊᗘศᕸࡣྜ⌮ⓗ࡛࠶ࡿゝ ドࡍࡿ㸬RCࢥࢵࢱ࣮ࡢᙧ≧ࢆᶍᘧⓗᅗ5(a)♧ࡍ㸬ࡇ ࠼ࡿ㸬௬ᐃࡋࡓࢥࢵࢱ࣮ࡢᛂຊᗘศᕸࡽ㸪 d Us ࡣᘧ ࡢࡼ࠺࡞ࢥࢵࢱ࣮ࡢࡏࢇ᩿⪏ຊࢆホ౯ࡍࡿࡓࡵᅗ5(b) (5)㸪 (6)ࡼࡗ࡚⾲ࡏࡿ㸬 ݀ ൌ ሺʹΤ͵ሻ݄ ߩ௦ ൌ ͲǤͷ݊ ܽ௦ଵ Τሺܾ݀ሻ ♧ࡍStrut-and-Tie Modelࢆ⏝࠸ࡿ㸬 Russoࡽࡣࢥࢵࢱ࣮ࡢࡏࢇ᩿⪏ຊホ౯ᘧࡋ࡚2㡯ࡽ (5) (6) ࡞ࡿᘧࢆᥦࡋࡓ㸬➨1㡯ࡣ1⤌┠ࡢࢥࢵࢱ࣮➽ࢆ⪃៖ࡋ ࡇࡇ࡛㸪nleg 㸸ࢥࢵࢱ࣮➽ࡢ⤌ᩘ㸪as1 㸸ࢥࢵࢱ࣮➽1⤌ࡢ ࡓStrut-and-Tie System㸪➨2㡯ࡣ2⤌┠௨㝆ࡢࢥࢵࢱ࣮➽ࡢ ᩿㠃✚ࡍࡿ㸬 ᐤศ࡛࠶ࡿ㸬ᮏሗ࡛ࡣ㸪ྠ୍ᚄࡢࢥࢵࢱ࣮➽ࡀࢥࢵࢱ ᐇ㦂್⪏ຊホ౯ᘧࡢẚ㍑ ୍࣮ᵝ㓄➽ࡉࢀ࡚࠸ࡿࡓࡵ㸪➨2㡯ࡣ๐㝖ࡍࡿࡶ ᐇ㦂್㸸Vu_test ⪏ຊホ౯ᘧ㸦ᘧ(1)㸧ࡼࡿィ⟬್㸸 㸪➨1㡯ࡢㄪᩚಀᩘ0.8ࢆ๐㝖ࡍࡿ㸬ࡍ࡞ࢃࡕ㸪ࢥࢵࢱ Vu_cal ࡢẚ㍑ࢆᅗ6♧ࡍ㸬ᅗࡣ๓ሗ㸦ࡑࡢ2㸧♧ࡋࡓ ࣮ࡢࡏࢇ᩿⪏ຊホ౯ᘧ㸸Vuࢆᘧ(1)ࡢࡼ࠺⾲ࡍ㸬 せ⣲ᐇ㦂ࡢCࢩ࣮ࣜࢬヨ㦂యࡢ⤖ᯝࡶేࡏ࡚♧ࡋ࡚࠸ࡿ㸬 ܸ௨ ൌ ߪௗ ܾ݈ ܿߠ ݏ (1) ィ⟬್ࡣᐃ╔㛗ࡀᑠࡉ࠸C5ࢆ㝖ࡃヨ㦂య࠾࠸࡚᭱ ࡇࡇ࡛㸪Vd㸸ᘧ(2)࡛⾲ࡉࢀࡿStrutࡢ᭷ຠᅽ⦰ᙉᗘ㸪h㸸ࢥ ⪏ຊࢆẚ㍑ⓗ⢭ᗘࡼࡃ⟬ฟ࡛ࡁ࡚࠸ࡿ㸬ࡋࡓࡀࡗ࡚ᐃ╔ ࢵࢱ࣮ࡏ࠸㸪b㸸ࢥࢵࢱ࣮ࡢᖜ㸪 T㸸Strutࡢゅᗘ࡛࠶ࡿ㸬 㛗ࢆ༑ศ☜ಖࡍࢀࡤᮏホ౯ᘧࡣࢥࢵࢱ࣮ࡢ᭱⪏ຊࡢホ ࡇࢀࡽ࡚ࡢኚᩘࡣ㸪ᩥ⊩4࡛ᥦࡉࢀࡓ௨ୗࡢᘧࡼࡾ ౯᭷ຠ࡛࠶ࡿ㸬 ホ౯ࡍࡿ㸬 ⤖ ᮏሗ㸦ࡑࡢ11㸧࡛ࡣࢥࢵࢱ࣮ࡢ᭷㝈せ⣲ゎᯒࡢ᭷ຠᛶ Ǥଽఙ ߪௗ ൌ ಳ ߪ ൏ ͶʹሾΤଶ ሿۗ ۓ ۖටଵାସ ಶ ۖ ହǤ଼ξఙಳ ࢆᐇ㦂ࡢẚ㍑ࡽ᳨ドࡍࡿࡶ㸪᪤ ࡢࢥࢵࢱ࣮ (2) ଶ ሿۘ ۔ ߪ ͶʹሾΤ ۖටଵାସ ۖ ಶ ە ۙ ݈ ൌ ݇݀ ൌ ൫ඥሺ݊ߩ௦ ሻଶ ʹ݊ߩ௦ െ ݊ߩ௦ ൯ ή ݀ ߠ ൌ ʹ ۇ ۉ ೌ మ ିଵାඨቀ ቁ ା൬ଵି (3) ೖమ ൰ ర ೌ ೖ ି మ ۊ (4) ی ࡢ⪏ຊホ౯ᘧࢆಟṇࡋ㸪ࡑࡢጇᙜᛶࢆ♧ࡋࡓ㸬 ࠙ཧ⪃ᩥ⊩ࠚ 1) ᑠ㜰⩏ኵ㸸ྛ✀ࢥࣥࢡ࣮ࣜࢺࡢᅽ⦰㠎ᛶࡢ⤫୍ホ౯㸦ࡑࡢ 1㸧 㸪᪥ᮏᘓ ⠏ᏛᏛ⾡ㅮ₇᱾ᴫ㞟㸪A㸪pp.189-190㸪ᮾᾏ㸪1985.10. 2) Elmorsi, M., et al.: Modeling bond-slip deformations in reinforced concrete beamcolumn joints㸪Canadian Journal of Civil Engineering㸪Vol. 27㸪pp.490-505㸪2000 3) ᪥ᮏᘓ⠏Ꮫ㸸㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᘓ≀ࡢ㠎ᛶಖドᆺ⪏㟈タィᣦ㔪࣭ྠゎ ㄝ㸪1999.8 4) Gaetano Russo, et al.: Reinforced Concrete Corbels-Shear Strength Model and Design Formula, ACI Structural Journal, Vol.103, No.1, Jan.-Feb. 2006 a Ts=nleg as1/(bd) O T d h L Cc 1500 Cࢩ࣮ࣜࢬ㸦ࡑࡢ2㸧 C5 Sࢩ࣮ࣜࢬ 0 0 500 (b)Strut-and-Tie Model ᅗ ࢥࢵࢱ࣮ࡢ⪏Ⲵᶵᵓ *1 *2 *3 *4 *5 *6 *7 2000 500 l (a)ࢥࢵࢱ࣮➽ࡢྜຊ 2500 1000 T 0 3000 test[kN] Vu Vu Vynleg as1 3500 Vu ᮾிᕤᴗᏛ 㒔ᕷᆅ㟈ᕤᏛࢭࣥࢱ࣮ PD ◊✲ဨ࣭Ph. D. ᮾிᕤᴗᏛ ᪥ᮏᏛ⾡⯆≉ู◊✲ဨ DC࣭ಟኈ㸦ᕤᏛ㸧 㜰ᕤᴗᏛ ᕤᏛ㒊ᘓ⠏Ꮫ⛉ ㅮᖌ࣭༤ኈ㸦ᕤᏛ㸧 ⇃㇂⤌ ᢏ⾡◊✲ᡤ ⇃㇂⤌ タィᮏ㒊ᵓ㐀タィ㒊 ᮾிᕤᴗᏛ ᘓ⠏≀⌮◊✲ࢭࣥࢱ࣮ ᩍᤵ࣭ᕤᏛ༤ኈ ᮾிᕤᴗᏛ ྡᩍᤵ࣭ᕤᏛ༤ኈ 1000 1500 2000 2500 3000 3500 Vu ᅗ cal[kN] ᐇ㦂್ホ౯ᘧࡢẚ㍑ Post-Doctral Research Fellow, CUEE, Tokyo Institute of Technology, Ph.D. JSPS Research Fellow, Tokyo Institute of Technology, M. Eng. Lecturer, Dept. of Architecture, Osaka Institute of Technology, Dr. Eng. Technical Research & Development Institute, KUMAGAIGUMI Co., Ltd. Structural Design Dept., Design Division, KUMAGAIGUMI Co., Ltd. Prof., SERC, Tokyo Institute of Technology, Dr. Eng. Prof. Emeritus, Tokyo Institute of Technology, Dr. Eng.
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