28 4 Vol128 No14 2007 8 Journal of Building Structures Aug12007 :100026869 (2007) 0420109208 FRP ( 100084) : (FRP) FRP FRP FRP FRP FRP 5 : (FRP) ; ; ; ; :TU383 :A Concepts forms and basic analysis of FRP woven web structure FENG Peng YE ieping BAO Rui QI Yujun ( Key aboratory of Structural Engineering and Vibration of China Education Ministry Department of Civil Engineering Tsinghua University Beijing 100084 China) Abstract : This paper presents an FRP (fiber reinforced polymer) woven web structure for large2span roof system composed of light2weight high2strength and anticorrosion FRP strips. FRP strips are crossed and woven to form a flexible FRP web plane the outer edge of which is fastened and anchored on a ring beam. And the suspended special mass or stressed tendons are applied to the inner web to achieve the tension of the web. The whole web serving as the structure of large2span roof is stressed to have the sufficient stiffness and capacity. An FRP woven web structure is composed of woven web ring beam for anchoring and equipment for out2of2plane tensioning. It is constructed by the five steps : construting ring beam weaving FRP web anchoring after pre2tension stressing web and fixing. The loading condition can be categorized into three major stress stages the initial prestressed state the out2of2plane tensioned state and the service loading state. The geometry configuration of woven webs is mathematically described in the coordinate matrices. Various planar woven patterns and structural forms are presented. A simplified model of FRP woven web structure is analyzed and an example of a simple structure is designed with finite element software validating the feasibility of the FRP woven web structure. Keywords : fiber reinforced polymer/ plastic ( FRP) ; lager2span structure ; woven web ; cable network ; tensioned membrane structure 0 : (50238030 50608047) : (1977 ) :2005 9 ( ) ( 109
) ( ) 2008 (300m ) 1 FRP [1 ] FRP 3 FRP FRP (CFRP) FRP CFRP (fiber reinforced polymer FRP) 60 % 160MPa 2400MPa 012 10-6 [2 ] FRP 1 2mm FRP FRP 1 FRP CFRP [3 5000m ] FRP 400kN 300m FRP CFRP 70kg ; ; 300m 500kg ; 1 CFRP FRP Table 1 Properties of CFRP strip s 1 FRP 1 FRP : CFRP mm mm g/ cm 2 / MPa GPa % 1 100 114 115 2800 160 117 % 2 120 114 116 2400 210 114 % FRP 2 FRP 90 3a 1 FRP Fig11 A scaled model of FRP woven web structure FRP 3 FRP 60 3b 4 45 3c FRP ; FRP ; : FRP ; FRP FRP 110
2 FRP Fig12 Element of weaving FRP strips 3 FRP Fig13 Weave patterns of FRP strips FRP ; FRP ( 4) FRP FRP 6 FRP Fig16 Illustration for constructing an FRP woven web structure ( 5) (2) FRP FRP P T FRP FRP FRP (3) 5 6 FRP (1) FRP 4 FRP Fig14 Anchorage of FRP strips (4) (5) 2 5 Fig15 Illustration of prestressing FRP woven web : FRP ; 111
FRP 7 211 1 0 0-1 Z = 0 0 0 1 FRP - 1 1-1 0 7 FRP X Y Z b ( x y) = 0 (1) n 1 n i (1 i n) ( x is y is ) ( x ie y ie ) b ( x is y is ) = 0 b ( x ie y ie ) = 0 (2) n ( n - 1) / 2 i (1 i n) j (1 j n) ( x ij y ij ) x ij = x ji y ij = y ji (3) x ij = x ji = y ij = y ji = 212 x 12 x 1 j x 1 n x 21 x 2 j x 2 n 3 (1) X = x i1 x i2 x ij x in 8 90 x n1 x n2 x nj y 12 y 1 j y 1 n FRP y 21 y 2 j y 2 n Y = (4) y i1 y i2 y ij y in (2) : FRP y n1 y n2 y nj ( x is y is ) ( x ie y ie ) ( i = 1 2 111 n) z ij : i j z ij = 1 z ji = - 1 ; i j z ij = - 1 z ji = 1 ; i = j z ij = 0 z ji = 0 Z Z 1 0-1 112 0-1 0 1 7 4 Fig17 Intersection relation of four lines 8 Fig18 Tiled pattern (5)
(a) (b) 9 Fig19 Radiated patterns 3 FRP 12 30 90 (3) 10a ; 10b FRP 3 1 3 (a) (b) 10 Fig110 Polygonal patterns FRP FRP : FRP FRP ; FRP 11 FRP 11a FRP ; 11b 9a FRP 2 20 FRP ; FRP FRP 6 FRP 60 120 9b FRP 113
12 FRP 11 FRP Fig111 Double2layer FRP woven web structures 12 FRP Fig112 Folded FRP woven web structure FRP 412 FRP 180 13 A E FRP 13a H 0 0 = H 0 EA 0 = (6) (7) 1 + 0 13b V T 1 T 1 H 1 1 T 1 = H 1 2 + V 2 (8) 4 411 FRP FRP FRP FRP FRP : 13 FRP FRP Fig113 Three stress states of the simplified model of an FRP woven web structure 114
1-0 = 1 1 = T 1 EA V H 1 (9) 2 + 1 2-0 (10) = 1 (11) T 1 1 1 118kN/ m 2 ( 13c ) : FRP q ( x) 1542MPa 1122m 1/ 125 H 2 R x FRP z ( x) 177kN ; FRP w ( x) 2 18kg R = q ( x) d x + V (12) 0 H 2 d 2 z d x 2 + q ( x) = 0 (13) q ( x) z ( x) = q 2 H 2 ( - x) x + x 2 (14) R = q + V (15) d z d x x =0 = R H 2 d z d x x = = V H 2 (16) s = 1 + ( d z 2 1/ 2 FRP 0 d x ) d x - ( 2 + 2 1 ) 1/ 2 (17) s = H 2 EA 0 1 + ( d z 2 1/ 2 d x ) d x - H 1 EA ( 2 + 2 1 ) 1/ 2 (12) (18) H 2 2 413 (18) ANSYS FRP 14 150m 30m FRP 1 2 120mm 114mm 1800MPa 3 :1 2 16 ; 1 360 1080 210MPa 1000MPa 14400kN 5108m 995MPa FRP FRP FRP 5 FRP FRP FRP FRP FRP FRP FRP FRP 14 FRP Fig114 FEA model of a large2span FRP woven web structure 115
FRP FRP FRP ; FRP (2) FRP 3 X Y Z : ; ; FRP FRP FRP FRP FRP FRP CFRP (3) FRP : CFRP 1997 Storchen [4 ] CFRP FRP CFRP 012 10-6 1/ 60 [1 ]. [J ]. 2001 3(3) :34241. [2 ]. 6 3 ;FRP 5 : FRP [J ]. 2006 39(3) :25237. [3 ] Maeda K Ikeda T Nakamura H Meiarashi S. Feasibility of ultra long2span suspension bridges made of all plastics [ C ] FRP Proceeding of IABSE SYMPOSIUM 2002(CD2ROM). Australia FRP 2002. [4 ] :. FRP [ C]. : (1) FRP 2002 :5552560. :FRP 116