Phân tích ứng xử dầm biên trong hệ khung bê tông cốt thép có dầm rộng chịu tải trọng theo phương dứng

I H C QU C GIA TP HCM TR NGă I H C BÁCH KHOA PHANăMINHă PHÂN TÍCH NG X C D M BIÊN TRONG H KHUNG BÊ TÔNG C T THÉP CÓ D M R NG CH U T I TR NG THEOăPH NGăD NG ANALYSIS OF EDGE BEAM BEHAVIOR IN REINFORCED CONCRETE FRAME SYSTEM WITH WIDE BEAMS SUBJECTED TO VERTICAL LOADS Chuyên ngành : K Thu t Xây D ng Mã s h c viên : 8580201 LU NăV NăTH CăS TP H CHÍ MINH, tháng 07 n m β0ββ CỌNG TRỊNH C HOÀN THÀNH T I TR NG I H C BÁCH KHOA ậ HQG -HCM Cán b h ng d n khoa h c: PGS TS NGY N V N HI P Cán b ch m nh n xét 1: TS NGUY N V N CHÚNG Cán b ch m nh n xét β: TS OÀN NG C T NH NGHIểM Lu n v n th c s đ c b o v t i Tr ng i h c Bách Khoa, HQG Tp HCM ngày 20 tháng 07 n m 2022 Thành ph n H i đ ng đánh giá lu n v n th c s g m: Ch t ch h i đ ng : PGS TS NGỌ H U C Th kỦ h i đ ng : TS NGUY N PHÚ C NG NG Ph n bi n : TS NGUY N V N CHÚNG Ph n bi n β : TS OÀN NG C T NH NGHIểM U viên h i đ ng : PGS TS CAO V N VUI Xác nh n c a Ch t ch H i đ ng đánh giá LV Tr ngành sau lu n v n đ CH ăT CHăH Iă c s a ch a (n u có) NGă PGS.ăTS.ăNGƠăH UăC ng Khoa qu n lý chuyên P TR NGăKHOA K ăTHU TăXÂYăD NG NG PGS TS L NGăV NăH I TR I H C QU C GIA TP.HCM NGă IăH CăBÁCHăKHOA C NGăHÒAăXÃăH IăCH ăNGH AăVI TăNAM căl pă- T ădoă- H nhăphúc NHI MăV ăLU NăV NăTH CăS H tên h c viên: PHANăMINHă C MSHV: 2070511 NgƠy, tháng, n m sinh: 20-11-1978 N i sinh: TÂY NINH Chuyên ngành: K ăThu tăXơyăD ng Mư s : 8580201 I TÊNă ă TẨI: PHÂNă TệCHă NGă X ă D Mă BIÊNă TRONGă H ă KHUNG BÊ TƠNGă C Tă THÉPă CĨă D Mă R NGă CH Uă T Iă TR NGă THEOă PH NGă D NG II NHI MăV ăVẨăN IăDUNG: Tìm hi u t ng quan tình hình nghiên c u vƠ ngoƠi n c v d m bê tông c t thép ch u u n, xo n vƠ c t đ ng th i Nghiên c u góc xoay, đ c ng kháng xo n c a d m biên, đ c ng khung t ng đ ng Mơ ph ng s , phơn tích n i l c d m biên h khung bê tơng c t thép có d m r ng ch u t i tr ng theo đ ng Th c nghi m m t khung bê tông m t t ng, m t nh p có d m r ng ch u u n, xo n vƠ c t đ ng th i K t lu n vƠ ki n ngh III NGẨYăGIAOăNHI MăV : 14/02/2022 IV NGẨYăHOẨNăTHẨNHăNHI MăV : 17/06/2022 V CÁNăB ăH NGăD N: PGS.TS NGUY NăV NăHI P CÁNăB ăH NGăD N (H tên vƠ ch kỦ) PGS TS NGUY NăV NăHI P P.ăTR Tp HCM, ngày …… tháng …… n m 2022 CH ăNHI MăB ăMÔNă ẨOăT O (H tên vƠ ch kỦ) PGS.ăTS.ăNGÔăH UăC NGăKHOAăK ăTHU TăXÂYăD NGă (H tên vƠ ch kỦ) PGS TS L NGăV NăH I NG L I C Mă N T nh ng g i Ủ ban đ u c a th y PGS TS Nguy n V n Hi p đư kh i d y đam mê nghiên c u, đ c bi t d m biên có liên k t v i d m r ng góp ph n làm sáng t ng x c a d m biên có liên k t v i d m r ng sát v i th c t , c ng nh thúc đ y áp d ng th c ti n ơy lƠ lí hình thƠnh đ tài ắPhân tích ng x d m biên h khung bê tơng c t thép có d m r ng, ch u t i tr ng theo ph ng đ ng” hoàn thành nghiên c u này, s c g ng c a b n thân có s t n tình ch d n c a th y h ng d n, em xin bày t lòng bi t n sơu s c đ n th y PGS TS Nguy n V n Hi p, đư góp ý r t nhi u v cách ti p c n v n đ , cách nhìn nh n v n đ khoa h c ph c v nghiên c u Xin chân thành c m n quỦ th y B Mơn Cơng Trình - khoa K Thu t Xây D ng, tr ng i h c Bách Khoa Tp.HCM đư truy n d y nh ng ki n th c quỦ giá, c ng lƠ nh ng ki n th c không th thi u đ ng nghiên c u khoa h c c ng nh s nghi p sau cho m i cá nhân Em xin c m n quý th y h i đ ng khoa h c, đư góp ý ph n bi n đ em có c h i th c hi n nghiên c u đ tài Lu n v n hoàn thành th i gian quy đ nh v i s n l c c a b n thân, nhiên không th tránh kh i nh ng thi u sót Kính mong q Th y Cô ch d n thêm đ em b sung hồn thi n Trân tr ng i TĨM T T LU NăV NăTH CăS Công ngh xây d ng ph bi n hi n th gi i lƠ đ bê tơng tồn kh i h ch u l c c t ậ vách, d m sàn t i công tr ng, đ c bi t đ i v i cơng trình nhà nhi u t ng T i Vi t Nam, u ki n v trí đ a lý, kinh t xã h i, t p quán s d ng th i ti t nóng m, gió mùa, bi n pháp thi cơng đ bê tơng tồn kh i g n nh chi m u th t đ i Trong d m biên đóng vai trị quan tr ng, quy t đ nh đ c ng biên, đ k t c u bao che Trên th c t , d m biên ch u u n, xo n c t đ ng th i phân tích ng x c a d m biên h khung có bê tơng c t thép có d m r ng, t m chia d m r ng làm ba dãy, dãy gi a dãy liên k t v i c t, hai dãy biên liên k t v i d m biên, liên k t làm cho d m biên ch u t ng thêm m t ph n t i tr ng, d n đ n n i l c c a d m biên s thay đ i so v i gi thi t ban đ u N i dung c a lu n v n th c s t p trung ắPhân tích ng x d m biên h khung bê tông c t thép có d m r ng, ch u t i tr ngătheoăph ngăđ ng” ơy lƠ v n đ quan tr ng c a d m biên ch a đ c làm sáng t tiêu chu n thi t k hi n hành Khái ni m h s quán tính đ c đ xu t t k t qu phân tích đ c ng xo n c a d m biên T l a ch n b n mơ hình đ i di n t h p thƠnh tám ph nghi m đ ng án mô ph ng Ngồi ra, m t mơ hình th c c xây d ng m t khung bê tông c t thép, g m hai c t, d m r ng, d m công xôn gi a nh p d m biên r ng, hai d m ngang t i hai c t Ba v trí kh o sát chuy n v , bi n d ng thép, bi n d ng bê tông d m biên r ng K t qu phân tích, th c nghi m đ n k t lu n r ng h s qn tính thơng s ban đ u l a ch n kích th c d m biên ng x c a d m biên liên quan đ n t s mô men u n chia mô men xo n Mô men xo n d m biên t ng lên lƠ dưy biên c a d m r ng truy n vào, s t ng tác nƠy lƠm ng x d m biên thay đ i Do d m biên c n xem xét kh n ng kháng xo n đ c bi t đ u d m n i có d m r ng liên k t Gi i pháp đ xu t nghiên c u đem l i hi u kháng xo n c a d m biên ii ABSTRACT Now, the popular construction technology in the world is monolithic concrete pouring The bearing system is column - wall, floor, and beams at the construction site, especially info multi-story buildings In Viet Nam, due to geographical location, socio-economic conditions, usage habits, humid and hot weather, and monsoon winds so the monolithic concrete pouring method is major In which, the edge beams play an important role, deciding the boundary stiffness, supporting the covering structure In practice, edge beams are subjected to simultaneous bending, torsion, and shear To analyze the behavior of the edge beams in the reinforced concrete frame system with wide beams Temporarily divide the wide beam into three rows, the middle row is the row associated with the column, and the two boundary rows are connected to the boundary beam, it is this connection that causes the beam to bear an additional part of the load, leading to the internal force of the boundary girder will change from the original assumption The content of the master's thesis focuses on "Analysis of edge beam behavior in a reinforced concrete frame system with wide beams, subjected to vertical loads" This is an important side beam issue that has not been elucidated in current design standards The concept of coefficient of inertia is introduced from the results of the torsional stiffness analysis of the edge beams Therefore, there are four representative m tls are selected and combined into eight simulation options Besides, the experimental m tl is built as a reinforced concrete frame, consisting of two columns, a wide edge beam, a cantilevered beam middle of the wide edge beam span, and two horizontal beams at two columns Three survey locations for displacement, steel deformation, and concrete deformation on wide edge beams The results of analysis and experiment lead to the conclusion that, the coefficient of inertia is the initial parameter to choose the edge beam dimension Edge beam behavior is related to the ratio of bending moment divided by torque Torque of edge beam increases is due to the force transfer of the boundary range of the wide beam, this interaction changes the behavior of the edge beam Therefore, edge beam iii need to consider torsion resistance, especially at the top of the edge beam where is connected wide beams The solution proposed in the study provides the torsion resistance of the edge beams Keywords: beam behavior subjected to simultaneous bending, torsion, and shear; equivalent frame method iv L IăCAMă OAN Tôi Phan Minh c, h c viên cao h c chuyên ngành Xây D ng Dân D ng Công Nghi p, khoá 2020 tr ng i H c Bách Khoa Thành Ph H Chí Minh Tơi xin cam đoan r ng, đơy lu n v n tơi th c hi n Các s li u lu n v n nƠy trung th c vƠ ch a t ng đ c công b , s d ng đ b o v m t h c v Các thơng tin, tài li u trích d n lu n v n nƠy đư đ c ghi rõ ngu n g c Tôi xin ch u trách nhi m hoàn toàn v k t qu nghiên c u lu n v n c a H c viên PHANăMINHă v C M C L C LU NăV N TÓM T T LU N V N TH C S ii L I CAM OAN v M C L C LU N V N vi DANH M C CÁC HÌNH V ix DANH M C CÁC B NG BI U xii L U CH C A LU N V N xvi NG T NG QUAN 1.1 Gi i thi u 1.2 Tình hình nghiên c u tính c p thi t c a đ tài 1.2.1 Tình hình nghiên c u th gi i 1.2.2 Tình hình nghiên c u n c 14 1.2.3 Tính c p thi t c a đ tài 16 1.2.4 Nhu c u th c ti n 16 1.3 N i dung lu n v n 16 CH NG β PHỂN TệCH GịC XO N VÀ H S QUÁN TÍNH C A D M BIÊN 15 2.1 Gi i thi u 15 β.1 C s lý thuy t v n d ng 15 2.1.1 Ph ng pháp khung t ng đ ng 15 2.1.2 Xác đ nh góc xo n vƠ đ c ng kháng xo n c a d m biên 16 β.β Kích th c ti t di n góc xo n c a d m biên 21 2.2.1 Xác đ nh h s xo n c a d m biên 27 2.2.2 Mơ men qn tính kháng u n c a d m biên, d m r ng 30 2.2.2.1 Mô men quán tính d m biên 30 2.2.2.2 Mô men quán tính kháng u n d m r ng 31 2.2.3 Kh o sát FS, h s quán tính c a d m biên 33 β.γ c ng c a c t t ng đ ng 36 2.4 Nghiên c u đ c ng khung t ng đ ng 38 vi 2.5.1 Nh n xét 40 2.5.2 K t lu n 41 CH NG γ PHÂN TÍCH N I L C D M BIÊN VÀ MÔ PH NG S 43 3.1 Gi i thi u 43 3.2 Phân tích d m biên khung BTCT có d m r ng 43 3.2.1 Mơ hình d m biên khung BTCT có d m r ng 43 3.2.2 N i l c c a d m biên 44 γ.β.γ Tác nhơn thay đ i n i l c c a d m biên khung BTCT có d m r ng 47 3.3 M i quan h gi a mô men u n, mô men xo n c t 48 3.4 Mô ph ng s 48 3.4.1 Các ví d b ng s 48 3.4.2.1 Mơ hình v t li u bê tông 51 3.4.2.2 Mơ hình v t li u thép 53 3.4.2.3 Mơ hình d o c a bê tông Abaqus 54 3.5.1 N i l c d m biên 57 3.5.2 Quan h t i tr ng bi n d ng thép c a d m biên 57 γ.6 T ng tác không th nguyên 60 3.7 Ki m tra ch s liên k t BI 61 3.8.1 Nh n xét 63 3.8.2 K t lu n 64 CH NG TH C NGHI M KHUNG 65 4.1 Gi i thi u 65 4.2 Mơ hình th c nghi m khung 65 4.2.1 Phân tích khung th c nghi m theo lý thuy t c h c k t c u 65 4.3 Thi t k m u th c nghi m 68 4.3.1 Thi t l p thí nghi m 71 4.3.2 Thu th p v t n t khung th c nghi m 73 4.4.1 K t qu đo chuy n v 76 4.4.2 K t qu đo bi n d ng thép 77 vii Ph l c S li u th c nghi m hình nh B ng 4.15 Mơ men u n d m biên r ng t i B t mô ph ng Times Load (kN) 0.000 0.010 0.010 0.020 0.020 0.035 0.035 0.058 0.058 0.091 0.091 0.104 0.104 0.123 0.123 0.130 0.130 0.141 0.141 0.146 0.146 0.153 0.153 0.164 0.164 0.169 0.169 0.177 0.177 0.182 0.182 0.189 0.189 0.194 0.194 0.199 0.199 0.0 1.2 1.2 2.4 2.4 4.2 4.2 6.9 6.9 11.0 11.0 12.5 12.5 14.7 14.7 15.6 15.6 16.9 16.9 17.5 17.5 18.4 18.4 19.7 19.7 20.3 20.3 21.2 21.2 21.8 21.8 22.7 22.7 23.3 23.3 23.9 23.9 WB st1 0.0 0.3 0.3 0.6 0.5 1.1 0.9 1.8 1.5 2.8 2.4 3.2 2.8 3.8 3.3 4.0 3.5 4.4 3.8 4.5 3.9 4.8 4.1 5.2 4.5 5.4 4.6 5.8 4.9 6.0 5.1 6.5 5.5 6.8 5.7 7.1 6.0 st2 0.0 0.3 0.3 0.6 0.6 1.1 1.0 1.9 1.6 3.0 2.6 3.4 2.9 4.0 3.5 4.2 3.7 4.6 4.0 4.8 4.2 5.0 4.4 5.4 4.7 5.6 4.9 5.9 5.1 6.1 5.3 6.4 5.6 6.6 5.8 6.9 6.0 st3 0.0 0.3 0.3 0.7 0.6 1.2 1.1 2.0 1.7 3.1 2.7 3.6 3.1 4.2 3.7 4.5 3.9 4.8 4.2 5.0 4.4 5.2 4.6 5.6 4.9 5.7 5.0 5.9 5.2 6.1 5.4 6.2 5.6 6.3 5.7 6.5 5.7 st4 0.0 0.4 0.3 0.7 0.6 1.3 1.1 2.1 1.8 3.3 2.9 3.8 3.3 4.5 3.9 4.8 4.2 5.1 4.5 5.3 4.6 5.5 4.9 5.9 5.2 6.1 5.3 6.3 5.6 6.4 5.7 6.6 5.9 6.7 6.0 6.8 6.1 B WB st5 0.0 0.4 0.3 0.8 0.7 1.3 1.2 2.2 1.9 3.5 3.1 4.0 3.5 4.7 4.1 5.0 4.4 5.4 4.7 5.5 4.9 5.8 5.1 6.2 5.4 6.4 5.6 6.6 5.8 6.8 6.0 7.1 6.2 7.3 6.4 7.5 6.6 sb1 0.0 -0.4 -0.4 -0.9 -0.8 -1.6 -1.4 -2.6 -2.3 -4.1 -3.7 -4.7 -4.2 -5.5 -5.0 -5.8 -5.3 -6.3 -5.7 -6.6 -5.9 -6.9 -6.2 -7.5 -6.7 -7.7 -6.9 -8.1 -7.3 -8.4 -7.5 -8.8 -7.9 -9.2 -8.2 -9.6 -8.5 sb2 0.0 -0.4 -0.4 -0.9 -0.8 -1.5 -1.4 -2.5 -2.3 -4.0 -3.6 -4.5 -4.1 -5.4 -4.8 -5.7 -5.1 -6.2 -5.6 -6.4 -5.8 -6.7 -6.1 -7.3 -6.5 -7.5 -6.7 -7.9 -7.1 -8.1 -7.3 -8.6 -7.7 -8.9 -7.9 -9.2 -8.2 sb3 0.0 -0.4 -0.4 -0.9 -0.8 -1.5 -1.3 -2.4 -2.2 -3.9 -3.5 -4.4 -4.0 -5.2 -4.7 -5.5 -5.0 -6.0 -5.4 -6.2 -5.6 -6.5 -5.9 -7.0 -6.3 -7.2 -6.5 -7.6 -6.8 -7.8 -7.0 -8.2 -7.4 -8.5 -7.6 -8.7 -7.8 sb4 0.0 -0.4 -0.4 -0.8 -0.7 -1.5 -1.3 -2.4 -2.1 -3.8 -3.4 -4.3 -3.9 -5.1 -4.6 -5.4 -4.8 -5.9 -5.2 -6.1 -5.4 -6.4 -5.7 -6.8 -6.1 -7.0 -6.3 -7.3 -6.6 -7.6 -6.8 -7.9 -7.1 -8.1 -7.3 -8.3 -7.5 B sb5 0.0 -0.4 -0.4 -0.8 -0.7 -1.4 -1.3 -2.4 -2.1 -3.7 -3.3 -4.3 -3.8 -5.1 -4.5 -5.3 -4.7 -5.8 -5.1 -6.0 -5.3 -6.3 -5.6 -6.7 -6.0 -6.9 -6.1 -7.2 -6.4 -7.4 -6.6 -7.6 -6.8 -7.8 -7.0 -8.0 -7.2 L sb6 0.0 -0.4 -0.4 -0.8 -0.7 -1.4 -1.2 -2.3 -2.0 -3.7 -3.2 -4.2 -3.7 -4.9 -4.3 -5.2 -4.6 -5.6 -5.0 -5.8 -5.1 -6.1 -5.4 -6.5 -5.8 -6.7 -5.9 -6.9 -6.2 -7.1 -6.3 -7.3 -6.5 -7.5 -6.7 -7.6 -6.8 170 Ft1 0.0 0.0 0.0 0.1 0.1 0.2 0.1 0.3 0.2 0.4 0.4 0.5 0.4 0.6 0.5 0.6 0.5 0.7 0.6 0.7 0.6 0.7 0.6 0.8 0.7 0.8 0.7 0.9 0.8 0.9 0.8 1.0 0.8 1.0 0.9 1.1 0.9 WB Ft2 0.0 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.5 0.4 0.5 0.5 0.6 0.5 0.7 0.6 0.7 0.6 0.7 0.6 0.8 0.7 0.8 0.7 0.9 0.8 0.9 0.8 0.9 0.8 1.0 0.9 1.0 0.9 1.1 0.9 Ft3 0.0 0.1 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.5 0.4 0.5 0.5 0.6 0.6 0.7 0.6 0.7 0.6 0.8 0.7 0.8 0.7 0.9 0.8 0.9 0.8 0.9 0.8 0.9 0.8 1.0 0.9 1.0 0.9 1.0 0.9 Fti (kN) B Ft4 0.0 0.1 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.5 0.5 0.6 0.5 0.7 0.6 0.7 0.6 0.8 0.7 0.8 0.7 0.9 0.7 0.9 0.8 0.9 0.8 1.0 0.9 1.0 0.9 1.0 0.9 1.0 0.9 1.1 0.9 Ft5 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.3 0.3 0.5 0.5 0.6 0.5 0.7 0.6 0.8 0.7 0.8 0.7 0.9 0.8 0.9 0.8 1.0 0.8 1.0 0.9 1.0 0.9 1.1 0.9 1.1 1.0 1.1 1.0 1.2 1.0 0.0 0.3 0.2 0.5 0.5 0.9 0.8 1.5 1.3 2.4 2.1 2.8 2.4 3.3 2.9 3.5 3.0 3.7 3.3 3.9 3.4 4.1 3.5 4.4 3.8 4.5 3.9 4.7 4.1 4.8 4.2 5.0 4.4 5.2 4.6 5.4 4.7 Fb1 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.4 -0.6 -0.6 -0.7 -0.7 -0.8 -0.8 -0.9 -0.8 -1.0 -0.9 -1.0 -0.9 -1.1 -1.0 -1.1 -1.0 -1.2 -1.1 -1.2 -1.1 -1.3 -1.2 -1.4 -1.2 -1.4 -1.3 -1.5 -1.3 L Fb2 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.3 -0.6 -0.6 -0.7 -0.6 -0.8 -0.7 -0.9 -0.8 -0.9 -0.9 -1.0 -0.9 -1.0 -0.9 -1.1 -1.0 -1.2 -1.0 -1.2 -1.1 -1.3 -1.1 -1.3 -1.2 -1.4 -1.2 -1.4 -1.3 Fb3 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.3 -0.6 -0.5 -0.7 -0.6 -0.8 -0.7 -0.9 -0.8 -0.9 -0.8 -1.0 -0.9 -1.0 -0.9 -1.1 -1.0 -1.1 -1.0 -1.2 -1.0 -1.2 -1.1 -1.3 -1.1 -1.3 -1.2 -1.3 -1.2 WB Fb4 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.3 -0.6 -0.5 -0.7 -0.6 -0.8 -0.7 -0.8 -0.7 -0.9 -0.8 -0.9 -0.8 -1.0 -0.9 -1.1 -0.9 -1.1 -1.0 -1.1 -1.0 -1.2 -1.0 -1.2 -1.1 -1.2 -1.1 -1.3 -1.2 B Fb5 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.3 -0.6 -0.5 -0.7 -0.6 -0.8 -0.7 -0.8 -0.7 -0.9 -0.8 -0.9 -0.8 -1.0 -0.9 -1.0 -0.9 -1.1 -0.9 -1.1 -1.0 -1.1 -1.0 -1.2 -1.1 -1.2 -1.1 -1.2 -1.1 Fb6 0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 -0.4 -0.3 -0.6 -0.5 -0.6 -0.6 -0.8 -0.7 -0.8 -0.7 -0.9 -0.8 -0.9 -0.8 -0.9 -0.8 -1.0 -0.9 -1.0 -0.9 -1.1 -0.9 -1.1 -1.0 -1.1 -1.0 -1.1 -1.0 -1.2 -1.0 Fbi (kN) MB (kNm) 0.0 -0.4 -0.3 -0.8 -0.7 -1.4 -1.2 -2.2 -2.0 -3.6 -3.2 -4.1 -3.6 -4.8 -4.3 -5.1 -4.6 -5.5 -4.9 -5.7 -5.1 -6.0 -5.4 -6.4 -5.8 -6.6 -5.9 -6.9 -6.2 -7.1 -6.4 -7.5 -6.7 -7.7 -6.9 -7.9 -7.1 0.0 -0.1 -0.1 -0.2 -0.2 -0.3 -0.3 -0.6 -0.5 -0.9 -0.8 -1.0 -0.9 -1.2 -1.1 -1.3 -1.1 -1.4 -1.2 -1.4 -1.3 -1.5 -1.3 -1.6 -1.4 -1.7 -1.5 -1.7 -1.5 -1.8 -1.6 -1.9 -1.7 -1.9 -1.7 -2.0 -1.8 Ph l c S li u th c nghi m hình nh 0.207 0.207 0.218 0.218 0.223 0.223 0.228 0.228 0.236 0.236 0.241 0.241 0.248 0.248 0.253 0.253 0.261 0.261 0.266 0.266 0.273 0.273 0.278 0.278 0.286 0.286 0.293 0.293 0.301 0.301 0.306 0.306 0.313 0.313 0.318 0.318 0.326 0.326 0.331 0.331 0.338 0.338 24.8 24.8 26.2 26.2 26.8 26.8 27.4 27.4 28.3 28.3 28.9 28.9 29.8 29.8 30.4 30.4 31.3 31.3 31.9 31.9 32.8 32.8 33.4 33.4 34.3 34.3 35.2 35.2 36.1 36.1 36.7 36.7 37.6 37.6 38.2 38.2 39.1 39.1 39.7 39.7 40.6 40.6 7.8 6.6 9.2 7.6 10.0 8.1 10.8 8.7 11.7 9.5 12.2 10.1 12.8 10.9 13.2 11.5 14.4 12.7 15.7 13.8 17.8 15.5 19.3 16.7 22.4 18.7 26.2 20.8 30.3 23.1 33.2 24.8 37.6 27.7 40.5 29.7 44.6 33.2 47.3 35.5 51.3 39.2 7.5 6.4 8.4 7.3 8.9 7.6 9.4 8.0 10.3 8.7 11.0 9.3 12.0 10.5 12.7 11.3 13.8 12.7 14.7 13.7 16.1 15.0 17.2 15.8 19.1 17.0 21.4 18.3 24.2 19.9 26.6 21.1 31.3 23.1 34.8 24.6 40.7 27.0 45.0 28.8 51.9 31.6 6.9 5.9 7.8 6.4 8.3 6.7 8.8 7.1 9.8 7.8 10.5 8.3 11.3 9.2 11.8 9.8 12.4 10.5 12.7 11.0 13.3 11.9 13.7 12.4 14.3 13.5 14.9 14.8 15.7 16.2 16.4 17.2 17.9 18.8 19.2 20.0 21.3 21.8 22.8 23.0 25.3 25.0 7.0 6.2 7.2 6.1 7.4 6.0 7.5 6.0 7.8 6.1 8.1 6.2 8.6 6.4 9.0 6.7 9.7 7.1 10.2 7.5 10.8 7.9 11.2 8.2 11.6 8.8 12.1 9.4 12.6 10.0 13.0 10.5 14.1 11.4 15.0 11.9 16.7 12.9 18.0 13.7 20.3 15.0 7.8 6.8 8.1 7.2 8.2 7.4 8.4 7.5 8.7 7.7 8.8 7.8 8.9 7.9 9.0 7.9 9.1 8.1 9.3 8.3 9.8 8.8 10.2 9.2 11.0 9.7 11.7 10.1 12.6 10.5 13.3 10.8 14.3 11.3 14.8 11.8 15.8 12.8 16.5 13.7 17.8 15.7 -10.2 -9.0 -11.3 -10.0 -11.8 -10.4 -12.4 -10.8 -13.1 -11.4 -13.7 -11.9 -14.5 -12.5 -15.0 -13.0 -15.8 -13.6 -16.3 -14.1 -17.2 -14.9 -17.8 -15.4 -18.7 -16.2 -19.6 -17.2 -20.6 -18.4 -21.1 -19.1 -21.9 -20.4 -22.4 -21.3 -23.1 -22.4 -23.6 -23.1 -24.3 -24.0 -9.7 -8.7 -10.6 -9.4 -11.0 -9.8 -11.4 -10.2 -12.0 -10.7 -12.5 -11.1 -13.2 -11.7 -13.6 -12.1 -14.3 -12.7 -14.8 -13.0 -15.5 -13.7 -16.0 -14.0 -16.7 -14.6 -17.3 -15.2 -18.0 -15.8 -18.6 -16.3 -19.5 -17.0 -20.1 -17.4 -20.9 -18.1 -21.5 -18.5 -22.3 -19.0 -9.2 -8.2 -9.9 -8.8 -10.2 -9.0 -10.5 -9.3 -11.0 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5.1 3.8 5.8 4.3 6.2 4.6 6.9 5.1 7.3 5.5 7.9 6.0 1.2 1.0 1.3 1.1 1.4 1.2 1.4 1.2 1.6 1.3 1.7 1.4 1.8 1.6 1.9 1.7 2.1 2.0 2.3 2.1 2.5 2.3 2.7 2.4 2.9 2.6 3.3 2.8 3.7 3.1 4.1 3.2 4.8 3.6 5.4 3.8 6.3 4.2 6.9 4.4 8.0 4.9 1.1 0.9 1.2 1.0 1.3 1.0 1.4 1.1 1.5 1.2 1.6 1.3 1.7 1.4 1.8 1.5 1.9 1.6 2.0 1.7 2.1 1.8 2.1 1.9 2.2 2.1 2.3 2.3 2.4 2.5 2.5 2.7 2.8 2.9 3.0 3.1 3.3 3.3 3.5 3.5 3.9 3.9 1.1 1.0 1.1 0.9 1.1 0.9 1.2 0.9 1.2 0.9 1.2 0.9 1.3 1.0 1.4 1.0 1.5 1.1 1.6 1.1 1.7 1.2 1.7 1.3 1.8 1.3 1.9 1.4 1.9 1.5 2.0 1.6 2.2 1.7 2.3 1.8 2.6 2.0 2.8 2.1 3.1 2.3 1.2 1.1 1.2 1.1 1.3 1.1 1.3 1.2 1.3 1.2 1.4 1.2 1.4 1.2 1.4 1.2 1.4 1.3 1.4 1.3 1.5 1.4 1.6 1.4 1.7 1.5 1.8 1.6 1.9 1.6 2.0 1.7 2.2 1.7 2.3 1.8 2.4 2.0 2.5 2.1 2.7 2.4 5.7 4.9 6.3 5.3 6.6 5.5 6.9 5.7 7.4 6.1 7.8 6.4 8.2 6.9 8.6 7.3 9.2 7.9 9.6 8.4 10.4 9.1 11.0 9.6 12.1 10.4 13.3 11.3 14.7 12.3 15.8 13.0 17.7 14.2 19.1 15.1 21.4 16.6 23.0 17.7 25.7 19.5 -1.6 -1.4 -1.7 -1.5 -1.8 -1.6 -1.9 -1.7 -2.0 -1.8 -2.1 -1.8 -2.2 -1.9 -2.3 -2.0 -2.4 -2.1 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-51.6 -43.8 -52.7 -44.6 -54.3 -45.7 -55.4 -46.6 -56.6 -47.4 -58.3 -48.6 -61.0 -50.5 -38.1 -34.9 -38.7 -35.4 -39.6 -36.3 -40.2 -36.8 -41.1 -37.6 -41.7 -38.2 -42.4 -38.8 -43.4 -39.6 -44.9 -41.0 174 20.3 15.6 20.6 15.7 21.0 15.8 21.2 15.9 21.6 16.1 21.9 16.1 22.2 16.2 22.5 16.4 23.1 16.6 30.0 21.3 30.0 21.6 30.0 21.9 30.1 22.2 30.1 22.5 30.2 22.8 30.2 23.0 30.2 23.4 30.2 23.9 20.0 19.9 20.3 20.2 20.8 20.5 21.2 20.8 21.6 21.1 22.0 21.4 22.3 21.6 22.7 22.0 23.5 22.5 18.8 15.9 19.1 16.2 19.6 16.6 19.9 16.9 20.4 17.3 20.7 17.5 21.0 17.8 21.5 18.2 22.2 18.8 21.3 19.3 21.6 19.6 22.2 20.1 22.5 20.4 23.0 20.9 23.4 21.2 23.7 21.6 24.3 22.1 25.1 22.8 110.4 92.1 111.7 93.3 113.6 95.0 114.9 96.1 116.8 97.9 118.1 99.0 119.3 100.2 121.2 101.9 124.0 104.6 -5.0 -4.6 -5.0 -4.6 -5.1 -4.6 -5.1 -4.7 -5.1 -4.7 -5.1 -4.7 -5.2 -4.8 -5.2 -4.8 -5.2 -4.8 -5.1 -5.7 -5.1 -5.7 -5.0 -5.7 -5.0 -5.6 -5.0 -5.6 -5.0 -5.6 -4.9 -5.7 -4.9 -5.7 -4.9 -5.7 -6.0 -4.0 -6.0 -4.0 -6.0 -4.0 -6.0 -4.0 -6.0 -3.9 -6.0 -3.9 -6.0 -3.9 -6.0 -3.8 -6.0 -3.7 -7.6 -6.7 -7.7 -6.8 -7.8 -6.9 -7.9 -7.0 -8.1 -7.1 -8.2 -7.2 -8.3 -7.2 -8.4 -7.4 -8.7 -7.6 -7.5 -6.4 -7.7 -6.6 -7.9 -6.7 -8.1 -6.9 -8.4 -7.0 -8.5 -7.2 -8.7 -7.3 -9.0 -7.5 -9.4 -7.8 -5.9 -5.4 -6.0 -5.5 -6.1 -5.6 -6.2 -5.7 -6.3 -5.8 -6.4 -5.9 -6.5 -6.0 -6.7 -6.1 -6.9 -6.3 -37.0 -32.8 -37.4 -33.1 -38.0 -33.5 -38.3 -33.8 -38.9 -34.2 -39.3 -34.5 -39.6 -34.8 -40.2 -35.2 -41.1 -35.9 -22.1 -18.7 -22.4 -19.0 -22.7 -19.3 -23.0 -19.5 -23.4 -19.8 -23.6 -20.0 -23.8 -20.2 -24.2 -20.6 -24.8 -21.1 Ph l c S li u th c nghi m hình nh B ng 4.16 Mô men xo n d m ngang t mô ph ng Abaqus Times Load (s) 0.000 0.010 0.020 0.035 0.058 0.091 0.104 0.123 0.130 0.141 0.146 0.153 0.164 0.169 0.177 0.182 0.189 0.194 0.199 0.207 (kN) 0.0 1.2 2.4 4.2 6.9 11.0 12.5 14.7 15.6 16.9 17.5 18.4 19.7 20.3 21.2 21.8 22.7 23.3 23.9 24.8 A - Top face U2 node U2 87 node 81 (mm) (mm) 0.000 0.000 -0.009 -0.014 -0.019 -0.028 -0.033 -0.049 -0.053 -0.080 -0.085 -0.128 -0.097 -0.145 -0.114 -0.172 -0.121 -0.182 -0.131 -0.197 -0.135 -0.205 -0.142 -0.216 -0.152 -0.232 -0.157 -0.240 -0.164 -0.251 -0.169 -0.259 -0.176 -0.270 -0.181 -0.277 -0.186 -0.285 -0.194 -0.297 B - Top face U2 U2 node node (mm) (mm) 0.000 0.000 0.010 0.016 0.021 0.031 0.036 0.055 0.060 0.090 0.095 0.143 0.147 0.224 0.167 0.256 0.198 0.307 0.210 0.327 0.229 0.361 0.261 0.419 0.274 0.443 0.294 0.484 0.327 0.554 0.335 0.572 0.344 0.591 0.357 0.619 0.378 0.664 0.386 0.682 D A 10-3 1/avg Kt1012 T 10-3 Rad 0.000 -0.016 -0.031 -0.055 -0.090 -0.143 -0.162 -0.193 -0.204 -0.222 -0.231 -0.245 -0.267 -0.277 -0.290 -0.299 -0.313 -0.321 -0.330 -0.345 Rad #DIV/0! -192170.545 -96078.913 -54897.464 -33411.541 -21049.628 -18484.251 -15581.178 -14689.321 -13484.560 -12969.795 -12227.929 -11243.535 -10846.772 -10330.697 -10022.942 -9597.748 -9339.103 -9090.450 -8684.828 Nmm/Rad -32.992 -16.495 -9.425 -5.736 -3.614 -3.173 -2.675 -2.522 -2.315 -2.227 -2.099 -1.930 -1.862 -1.774 -1.721 -1.648 -1.603 -1.561 -1.491 -1.388 kNm 0.000 -0.108 -0.216 -0.377 -0.620 -0.984 -1.121 -1.330 -1.411 -1.537 -1.598 -1.694 -1.843 -1.910 -2.006 -2.067 -2.159 -2.219 -2.279 -2.386 Rad 0.000 0.016 0.031 0.055 0.090 0.143 0.162 0.193 0.204 0.222 0.231 0.245 0.267 0.277 0.290 0.299 0.313 0.321 0.330 0.346 175 D 1/avg B Kt1012 Rad Nmm/Rad #DIV/0! #DIV/0! 192170.955 32.992 96079.939 16.495 54898.134 9.425 33412.037 5.736 21049.973 3.614 18484.668 3.173 15582.257 2.675 14690.520 2.522 13486.177 2.315 12971.664 2.227 12229.923 2.100 11244.800 1.931 10847.556 1.862 10328.682 1.773 10019.929 1.720 9594.167 1.647 9334.260 1.603 9083.294 1.559 8679.049 1.490 T kNm 0.000 0.108 0.216 0.377 0.620 0.984 1.121 1.330 1.410 1.536 1.597 1.694 1.843 1.910 2.006 2.068 2.160 2.220 2.281 2.387 Ph l c S li u th c nghi m hình nh 0.218 0.223 0.228 0.236 0.241 0.248 0.253 0.261 0.266 0.273 0.278 0.286 0.293 0.301 0.306 0.313 0.318 0.326 0.331 0.338 0.343 0.351 0.358 0.366 0.371 26.2 26.8 27.4 28.3 28.9 29.8 30.4 31.3 31.9 32.8 33.4 34.3 35.2 36.1 36.7 37.6 38.2 39.1 39.7 40.6 41.2 42.1 43.0 43.9 44.5 -0.207 -0.212 -0.218 -0.228 -0.234 -0.244 -0.251 -0.263 -0.271 -0.284 -0.293 -0.309 -0.326 -0.343 -0.355 -0.373 -0.385 -0.403 -0.415 -0.434 -0.446 -0.465 -0.483 -0.501 -0.512 -0.318 -0.327 -0.337 -0.353 -0.363 -0.380 -0.391 -0.409 -0.421 -0.441 -0.456 -0.480 -0.505 -0.532 -0.551 -0.584 -0.604 -0.636 -0.658 -0.690 -0.712 -0.745 -0.777 -0.810 -0.831 0.399 0.418 0.438 0.457 0.462 0.467 0.475 0.486 0.504 0.522 0.541 0.568 0.594 0.621 0.627 0.634 0.644 0.648 0.654 0.664 0.678 0.683 0.691 0.702 0.707 0.709 0.749 0.789 0.829 0.839 0.849 0.864 0.888 0.925 0.964 1.004 1.066 1.129 1.193 1.209 1.225 1.250 1.259 1.273 1.294 1.326 1.337 1.355 1.381 1.391 -0.371 -0.383 -0.396 -0.417 -0.431 -0.453 -0.467 -0.488 -0.502 -0.525 -0.542 -0.569 -0.597 -0.629 -0.655 -0.703 -0.731 -0.777 -0.808 -0.854 -0.886 -0.933 -0.981 -1.030 -1.063 -8083.712 -7823.502 -7567.732 -7194.935 -6956.576 -6625.881 -6425.956 -6148.171 -5973.201 -5709.718 -5533.456 -5273.119 -5021.005 -4766.369 -4581.902 -4264.433 -4103.481 -3861.800 -3713.669 -3510.949 -3386.082 -3213.965 -3056.900 -2911.624 -2821.680 176 -1.343 -1.299 -1.235 -1.194 -1.138 -1.103 -1.056 -1.025 -0.980 -0.950 -0.905 -0.862 -0.818 -0.787 -0.732 -0.704 -0.663 -0.638 -0.603 -0.581 -0.552 -0.525 -0.500 -0.484 -0.470 -2.563 -2.648 -2.738 -2.880 -2.978 -3.127 -3.224 -3.370 -3.469 -3.629 -3.744 -3.929 -4.127 -4.347 -4.522 -4.859 -5.049 -5.365 -5.579 -5.902 -6.119 -6.447 -6.778 -7.116 -7.343 0.371 0.384 0.397 0.417 0.431 0.452 0.466 0.487 0.500 0.523 0.539 0.565 0.593 0.625 0.647 0.698 0.728 0.771 0.802 0.849 0.881 0.931 0.984 1.036 1.072 8075.878 7815.553 7561.437 7194.705 6961.096 6634.624 6437.953 6165.566 5995.444 5739.796 5567.585 5314.407 5063.235 4799.898 4636.642 4300.398 4121.861 3890.025 3742.547 3534.291 3405.506 3223.647 3049.391 2894.590 2798.683 1.386 1.342 1.298 1.235 1.195 1.139 1.105 1.059 1.029 0.985 0.956 0.912 0.869 0.824 0.796 0.738 0.708 0.668 0.643 0.607 0.585 0.553 0.524 0.497 0.480 2.566 2.651 2.740 2.880 2.977 3.123 3.218 3.361 3.456 3.610 3.722 3.899 4.092 4.317 4.469 4.818 5.027 5.326 5.536 5.863 6.084 6.427 6.795 7.158 7.403 Ph l c S li u th c nghi m hình nh 0.376 0.383 0.388 0.396 0.401 0.408 0.419 0.431 0.442 0.453 0.458 0.463 0.471 0.476 0.483 0.488 0.496 0.501 0.508 0.513 0.521 0.526 0.533 0.538 0.546 45.1 46.0 46.6 47.5 48.1 49.0 50.3 51.7 53.0 54.4 55.0 55.6 56.5 57.1 58.0 58.6 59.5 60.1 61.0 61.6 62.5 63.1 64.0 64.6 65.5 -0.523 -0.539 -0.550 -0.565 -0.575 -0.590 -0.613 -0.636 -0.656 -0.676 -0.684 -0.692 -0.704 -0.711 -0.722 -0.729 -0.740 -0.747 -0.758 -0.765 -0.775 -0.781 -0.791 -0.797 -0.806 -0.852 -0.883 -0.904 -0.935 -0.958 -0.992 -1.045 -1.100 -1.154 -1.209 -1.233 -1.257 -1.293 -1.317 -1.353 -1.377 -1.412 -1.435 -1.470 -1.494 -1.530 -1.554 -1.590 -1.614 -1.649 0.713 0.723 0.738 0.744 0.753 0.766 0.771 0.778 0.789 0.792 0.798 0.807 0.819 0.838 0.845 0.854 0.869 0.874 0.881 0.892 0.895 0.897 0.901 0.907 0.915 1.407 1.430 1.465 1.478 1.499 1.529 1.541 1.558 1.583 1.592 1.607 1.628 1.659 1.706 1.724 1.750 1.788 1.803 1.824 1.856 1.864 1.872 1.883 1.901 1.928 -1.096 -1.146 -1.180 -1.236 -1.276 -1.340 -1.441 -1.548 -1.660 -1.777 -1.830 -1.884 -1.965 -2.020 -2.102 -2.157 -2.239 -2.294 -2.375 -2.430 -2.516 -2.575 -2.663 -2.721 -2.810 -2737.702 -2617.909 -2542.116 -2427.526 -2350.374 -2239.403 -2081.456 -1937.494 -1807.151 -1688.386 -1639.301 -1592.511 -1526.655 -1485.513 -1426.990 -1390.702 -1339.735 -1307.938 -1263.008 -1234.521 -1192.177 -1165.142 -1126.604 -1102.335 -1067.758 177 -0.449 -0.436 -0.417 -0.404 -0.384 -0.357 -0.333 -0.310 -0.290 -0.281 -0.273 -0.262 -0.255 -0.245 -0.239 -0.230 -0.225 -0.217 -0.212 -0.205 -0.200 -0.193 -0.189 -0.183 -0.175 -7.568 -7.915 -8.151 -8.535 -8.816 -9.252 -9.955 -10.694 -11.466 -12.272 -12.640 -13.011 -13.572 -13.948 -14.520 -14.899 -15.466 -15.842 -16.405 -16.784 -17.380 -17.783 -18.392 -18.796 -19.405 1.108 1.161 1.197 1.253 1.291 1.348 1.433 1.524 1.624 1.733 1.783 1.833 1.911 1.963 2.042 2.098 2.184 2.243 2.333 2.394 2.488 2.553 2.660 2.733 2.843 2708.454 2583.224 2505.513 2393.459 2323.139 2225.020 2092.932 1969.044 1847.057 1730.997 1682.827 1636.535 1570.071 1528.335 1468.807 1429.954 1373.484 1337.727 1286.126 1253.360 1205.753 1174.873 1127.872 1097.659 1055.359 0.465 0.443 0.430 0.411 0.399 0.382 0.359 0.338 0.317 0.297 0.289 0.281 0.270 0.262 0.252 0.245 0.236 0.230 0.221 0.215 0.207 0.202 0.194 0.188 0.181 7.650 8.021 8.270 8.657 8.919 9.312 9.900 10.523 11.218 11.970 12.313 12.661 13.197 13.557 14.107 14.490 15.086 15.489 16.110 16.532 17.184 17.636 18.371 18.877 19.633 Ph l c S li u th c nghi m hình nh 0.557 0.562 0.567 0.574 0.586 0.591 0.596 0.603 0.608 0.616 0.621 0.626 0.633 0.638 0.646 0.651 0.658 0.663 0.668 0.676 0.687 66.8 67.4 68.0 68.9 70.3 70.9 71.5 72.4 73.0 73.9 74.5 75.1 76.0 76.6 77.5 78.1 79.0 79.6 80.2 81.1 82.4 -0.819 -0.825 -0.830 -0.838 -0.848 -0.853 -0.857 -0.863 -0.867 -0.872 -0.876 -0.879 -0.885 -0.888 -0.893 -0.897 -0.902 -0.905 -0.908 -0.913 -0.920 -1.701 -1.724 -1.747 -1.781 -1.831 -1.854 -1.876 -1.908 -1.930 -1.962 -1.984 -2.005 -2.037 -2.058 -2.090 -2.111 -2.143 -2.164 -2.185 -2.217 -2.264 0.918 0.923 0.929 0.938 0.952 0.964 0.967 0.972 0.979 0.989 1.005 1.009 1.012 1.017 1.025 1.035 1.039 1.044 1.051 1.061 1.065 1.937 1.952 1.974 2.006 2.055 2.104 2.116 2.134 2.162 2.204 2.266 2.282 2.297 2.319 2.352 2.401 2.420 2.447 2.488 2.550 2.573 -2.939 -2.998 -3.057 -3.145 -3.277 -3.336 -3.395 -3.484 -3.544 -3.634 -3.693 -3.753 -3.841 -3.900 -3.989 -4.049 -4.138 -4.198 -4.257 -4.347 -4.480 -1020.617 -1000.731 -981.487 -953.904 -915.551 -899.398 -883.744 -861.060 -846.490 -825.584 -812.239 -799.398 -780.992 -769.170 -752.051 -741.015 -724.992 -714.684 -704.641 -690.196 -669.713 178 -0.172 -0.169 -0.164 -0.157 -0.154 -0.152 -0.148 -0.145 -0.142 -0.139 -0.137 -0.134 -0.132 -0.129 -0.127 -0.124 -0.123 -0.121 -0.118 -0.115 -0.113 -20.301 -20.705 -21.111 -21.721 -22.631 -23.038 -23.446 -24.063 -24.478 -25.097 -25.510 -25.919 -26.530 -26.938 -27.551 -27.962 -28.580 -28.992 -29.405 -30.020 -30.939 3.002 3.071 3.139 3.238 3.380 3.442 3.503 3.594 3.654 3.743 3.802 3.860 3.947 4.005 4.092 4.150 4.240 4.300 4.360 4.448 4.581 999.407 976.914 955.784 926.562 887.637 871.613 856.318 834.654 820.962 801.499 789.080 777.114 760.016 749.029 733.108 722.856 707.603 697.695 688.107 674.429 654.836 0.172 0.168 0.164 0.159 0.152 0.150 0.147 0.143 0.141 0.138 0.135 0.133 0.130 0.129 0.126 0.124 0.121 0.120 0.118 0.116 0.112 20.732 21.210 21.678 22.362 23.343 23.772 24.197 24.825 25.239 25.852 26.258 26.663 27.263 27.662 28.263 28.664 29.282 29.698 30.112 30.722 31.641 Ph l c S li u th c nghi m hình nh B ng 4.17 Mơ men xo n d m biên r ng t i C, t k t qu th c nghi m Load (kN) 0.00 2.00 3.00 4.00 5.00 6.00 7.00 9.00 11.00 11.50 12.00 12.50 13.00 13.50 14.00 14.50 15.00 18.00 20.00 21.00 22.00 24.00 25.00 26.00 27.00 28.00 30.00 32.00 34.00 36.00 40.00 43.00 47.00 K tăqu CV3 (mm) 0.00 0.05 0.10 0.22 0.23 0.32 0.34 0.42 0.58 0.58 0.69 0.66 0.72 0.90 0.90 0.85 0.97 1.15 1.36 1.37 1.52 1.62 1.63 1.82 1.95 1.97 2.32 2.50 2.84 3.16 3.75 4.28 4.90 ăTNăchuy năv ăt iăC CV1 T  -3 (mm) (rad)10 (kNm) 0.000 0.00 0.00 0.109 0.68 0.09 0.205 1.28 0.18 0.399 2.49 0.37 0.427 2.67 0.39 0.608 3.80 0.55 0.699 4.36 0.60 0.880 5.49 0.75 1.221 7.62 1.04 1.347 8.41 1.08 1.494 9.32 1.25 1.481 9.25 1.21 1.520 9.49 1.29 1.477 9.22 1.45 1.519 9.48 1.47 1.605 10.02 1.45 1.636 10.21 1.59 2.071 12.92 1.92 2.448 15.28 2.28 2.515 15.70 2.31 2.675 16.70 2.52 2.890 18.04 2.70 2.905 18.13 2.72 3.283 20.49 3.05 3.566 22.26 3.28 3.670 22.91 3.35 4.334 27.05 3.95 4.763 29.73 4.28 5.391 33.65 4.86 6.041 37.71 5.43 7.478 46.68 6.55 9.115 56.90 7.70 11.007 68.71 9.03 179 Ph l c S li u th c nghi m hình nh 50.00 54.00 58.00 59.50 61.50 63.00 63.50 64.50 65.50 66.50 67.50 68.50 69.50 71.00 73.00 73.50 74.50 75.50 76.50 77.50 78.50 79.50 80.50 81.50 82.50 80.00 79.00 78.00 77.00 76.00 75.00 5.41 5.94 6.42 6.58 6.89 7.36 7.55 7.60 7.80 7.81 7.84 7.90 8.04 8.19 8.55 8.57 8.63 8.68 8.83 9.32 9.39 9.59 9.66 10.07 10.24 10.27 10.21 10.17 10.11 10.01 9.93 10.28 11.95 13.94 14.41 15.42 16.56 17.00 17.13 18.32 18.60 19.16 19.32 20.08 21.29 23.03 23.03 23.31 23.52 24.01 26.30 26.66 27.73 27.93 29.50 30.33 32.28 32.48 32.50 32.52 32.52 32.50 180 12.979 16.033 20.031 20.889 22.754 24.529 25.183 25.402 28.039 28.759 30.182 30.452 32.094 34.912 38.584 38.525 39.136 39.550 40.456 45.244 46.035 48.340 48.656 51.750 53.528 58.622 59.314 59.489 59.686 59.940 60.118 81.02 100.08 125.03 130.39 142.03 153.11 157.19 158.56 175.02 179.51 188.40 190.08 200.33 217.92 240.84 240.47 244.29 246.87 252.53 282.42 287.35 301.74 303.71 323.03 334.13 365.92 370.24 371.33 372.56 374.15 375.26 Ph l c S li u th c nghi m hình nh B ng 4.18 Mơ men xo n d m r ng t i A, t k t qu th c nghi m Môămenăxo năd măr ngăt iăA,ăt ăk tăqu ăTN Load CV4 CV5 T  (kN) (mm) (mm) (rad)10-3 (kNm) 0.0 0.000 0.000 0.000 0.00 2.0 0.006 0.070 0.184 2.29 4.0 0.012 0.129 0.336 4.20 6.0 0.028 0.195 0.477 5.95 8.0 0.080 0.260 0.512 6.39 10.0 0.183 0.345 0.463 5.78 12.0 0.235 0.428 0.552 6.89 14.0 0.031 0.584 1.580 19.72 16.0 -0.048 0.695 2.122 26.49 18.0 -0.007 0.826 2.378 29.68 20.0 0.045 0.961 2.616 32.66 26.0 -0.676 1.388 5.897 73.62 28.0 -0.604 1.467 5.916 73.86 30.0 -0.418 1.649 5.905 73.72 32.0 -0.313 1.758 5.919 73.89 34.0 -0.149 1.913 5.890 73.53 36.0 0.000 2.049 5.855 73.09 38.0 0.214 2.195 5.659 70.65 40.0 0.355 2.277 5.490 68.53 42.0 0.571 2.485 5.469 68.27 44.0 0.677 2.564 5.391 67.30 46.0 0.927 2.788 5.317 66.38 48.0 1.127 2.952 5.213 65.07 50.0 1.201 3.015 5.182 64.70 54.0 1.512 3.269 5.022 62.70 58.0 2.008 3.697 4.825 60.23 65.0 2.599 4.145 4.419 55.16 68.0 3.028 4.501 4.208 52.54 71.0 3.691 5.125 4.096 51.14 73.0 4.148 5.533 3.956 49.38 75.0 4.199 5.588 3.968 49.53 77.0 4.535 5.863 3.792 47.34 79.0 4.672 5.980 3.737 46.66 181 Ph l c S li u th c nghi m hình nh 81.0 82.5 80.0 79.0 78.0 77.0 76.0 75.0 4.992 5.143 5.202 5.137 5.100 5.063 5.021 4.992 6.217 6.291 6.100 6.019 5.975 5.925 5.872 5.831 182 3.500 3.281 2.566 2.520 2.499 2.463 2.429 2.397 43.70 40.96 32.03 31.46 31.19 30.75 30.32 29.93 Ph l c S li u th c nghi m hình nh B ng 4.19 Mô men xo n d m r ng t i B, t k t qu th c nghi m Môămenăxo năd măr ngăt iăB,ăt ăk tăqu ăTN Load CV6 CV7 T  (kN) (mm) (mm) (rad)10-3 (kNm) 0.00 0.00 0.000 0.00 0.00 2.00 0.00 0.078 0.98 0.03 4.00 0.01 0.285 3.56 0.11 6.00 0.01 0.400 4.99 0.15 8.00 0.01 0.531 6.63 0.20 14.00 -0.10 1.304 16.28 0.36 16.00 -0.18 1.979 24.71 0.52 18.00 -0.19 2.321 28.98 0.62 20.00 -0.19 2.544 31.76 0.70 22.00 -0.52 3.895 48.63 0.85 24.00 -0.76 4.933 61.58 0.97 26.00 -0.89 5.513 68.83 1.04 28.00 -0.88 5.809 72.52 1.15 30.00 -0.86 6.214 77.58 1.32 32.00 -0.85 6.372 79.55 1.38 34.00 -0.86 6.789 84.75 1.51 36.00 -0.87 7.166 89.46 1.63 38.00 -0.88 7.773 97.04 1.84 40.00 -0.90 8.110 101.25 1.94 42.00 -0.96 8.708 108.71 2.09 44.00 -0.97 9.018 112.58 2.19 50.00 -1.08 10.616 132.53 2.64 54.00 -1.14 11.796 147.26 2.98 58.00 -1.43 13.770 171.91 3.39 60.00 -1.48 14.442 180.29 3.57 62.00 -1.62 15.885 198.31 3.94 64.00 -1.64 15.953 199.16 3.95 66.00 -1.69 16.960 211.74 4.25 68.00 -1.71 17.618 219.94 4.46 70.00 -1.72 18.867 235.53 4.88 72.00 -1.75 19.119 238.68 4.95 74.00 -1.78 20.156 251.63 5.28 76.00 -1.78 20.753 259.08 5.49 183 Ph l c S li u th c nghi m hình nh 78.00 80.00 82.50 80.00 79.00 78.00 77.00 76.00 75.00 -1.79 -1.79 -1.81 -1.86 -1.87 -1.87 -1.88 -1.90 -1.91 22.482 23.150 24.619 25.849 26.004 26.032 26.076 26.123 26.180 6.08 6.31 6.81 7.19 7.24 7.24 7.25 7.25 7.25 184 280.66 289.00 307.34 322.71 324.63 324.99 325.54 326.12 326.84 ... bê tông c t thép ch u u n, xo n vƠ c t đ ng th i Nghiên c u góc xoay, đ c ng kháng xo n c a d m biên, đ c ng khung t ng đ ng Mơ ph ng s , phơn tích n i l c d m biên h khung bê tông c t thép có. .. 41 CH NG γ PHÂN TÍCH N I L C D M BIÊN VÀ MÔ PH NG S 43 3.1 Gi i thi u 43 3.2 Phân tích d m biên khung BTCT có d m r ng 43 3.2.1 Mơ hình d m biên khung BTCT có d m r ng ... c a d m biên bê tơng c t thép [8] 15 Hình 2.1 Ho t đ ng c a khung có d m r ng s xo n d m biên 17 Hình β.β Xác đ nh góc xoay c a d m biên khung có d m r ng 18 Hình 2.3 Nút khung biên c