1、r !1 4 3 1 9 8 1 Mb rMM# = Yi I ns F - s#Yi(6vysn)419 Y rM M L ?Zb rM E , = E1 + PJ,9 F - qF dM = s, V P9 ebDq2r F - =baq h rmaK M a,b#YJJT v mV, LC 4T : Tw, T - “ P=11BeB,1 .a. , . , _ _ . , , , _ .B,B/ ,N /M sT - “ q2r9 T .bKEw dM = s9 ,i m + 5bBa r r B |s s CZEbV K ,|? 3BQQ9 m TM,e8“Mb !91 I n8“M
2、VM = M, M# rM Mbs rMM = Y,V $: Tbq rMaF - M, | ZE V |1 e , r B !9?S8c5H M = s?, v HqbF - H, (F - ) , !a = !9 VE vb s DT !, (F - rM“ 9 I n L=F - Y b - s I nD *i# S Z_ M _ ;Fi8“ ;dJ,id t H=M“ 9 bsZF( 1 )Xm,B cmbeBmonm+. (mB1 , 2 ,Bp, ( 2 )Ta=BqF *rBmD * sZF( 1 )+,qF - M H,*oF ;*=Db S Xa H, M = s;qF -
3、MH, Xm K9 m T8“9 = ,BQ O = b+a#“ Cm, Mn Y,Q v3 H, m 4b F f , a,+Y v t r B B ,yN9 TB L bS= v TV , rM Vss: Vs( M) Vs()b H I n Y,MM = s9 4b T rM E , 9,5 V Ese %bN,T : T,w E , = E1 EPJ - “ p=11BeBJ1. .Ba, aa, _ _ .a, _ _ .a_aBB FBe* |Vr T, MJ IY, Vw T * H,Jt : , t , =J,=J, : ,cbo9 HWM M M = H, , ,cbBcm,
4、cb( 2 7 )L ! M M M,X , = X (1BeB, , ,cb) /J, .=( 2 8 )TX8“ H M = b| T( 2 8 )w E9 M = , = v,y Y I n, | T( 2 6 ). ; , , fl(2 9 )BXBYBMBB Cr!|.BYlBVO fOO| USM,F“ _ C, Z T,qK ,r =BP (3 0 )TqKbriM8“9 ;YiM ,V UM bMbmabm#0m,USM M. , T(2 5 ) Sm, Br . , :mqKrm. +qp=m, p , , ,Fm, p=, , p , , , m ,rT (3 1 2a -
5、 , E9 M = s,Y, E9 M = ,i1D 9 TT 1 bB I nq . l t / m1 .9 = % A BT/M = sb t18 m ,P taM“ J.=1 . 0 , tbM“ Mm= 2 . 0b H t ag ,(qB1 t/ mb p t J HWt=O t g (m7 )b T(2 1 )9 - “ B40 . 5 :b5m7bBVB E / B= Ub4 31 E CmW b lNUc0 0 1 Y T(2 6 )9 C, 1=x=q a (rb Mb+ rbJa)12X llg x (0 . 6 3 21 + 0 . 4 3 2 x Z ) = 6 . 7
6、 3 21B FBq Qm(BrbJb Er bJm)=1m112x 1 x 9 2 x (B0 . 6 3 21 + o . 4 3 2 x 2 )=. 5 6 6 tBm2 79 9 r=Eaal|JweweslJz4 x 0 . 6 3 2 _ 4 x 0 . 4 3 2 6 x o . 6 3 2i EiBBBBBBB. EB6 x 0 . 4 3 29 26 x 0 . 6 3 2 6 x 0 . 4 3 2BB-=/- -B EB=/BBB-B, -1 29 3 x 0. 6 3 2 E1 29 3 x 0. 4 3 20 . 4 7 2 9B0 . 0 1 4 8B0 . 0 1
7、 4 80 . 0 1 7 5E IlZelesm2 .1!BBBBaIJKr.m T(3y Ta,f ,z0 . 4 7 2 9B0 . 0 1 4 8B0 . 0 1 4 80 . 0 17 5 E , +p!rxqY,r=B1 . 5 6 66 . 7 3 2Cl,.Lp1 1B cY, 1 3 9 77om. 79 ) E l T(3 1 ) |V U = Y ;=Q ,=6 E IB9 2x 0 . 6 3 2 1 5. 7 6x 1uB+1 2 E I9 3X 0 . 6 3 2 3 9 7. 7 9xB BBBX 1 X o Xpc6 3 2 xl = 0 . 5 5 7 t ,
8、M ;4 E I90 . 6 3 2 x 15. 7 6E I6 E IE-= C- ox 0. 6 3 2 X3 9 7 . 7 9E I11 2x 1 x 9 2 x 0 . 6 3 2 x l = 9 . 9 3 tBm 2 . t ,s s (m8 ) ,e , = P2 Hs ,9 ! = ,L !- ,sYM“ :J.=1 . 3 05 ,J,= 1 . 8 6 5 ,Jm= 2 . 6 6 4b= s6 E Im8Jb= 1 . 3 0 5 , Pcn= BF obc60 61r D = 1 + 0 . 6 0 6 x 1 . 3 0 5 = 0 . 5 5 8* = 1 . 8
9、 65 , 1 1F,mo7BI =bc6 4 7 ,1r b = i + 0 . 6 4 7 x 1 . 5 6 5 - = 0 . 4 5 3Jb= 2 . 6 6 4 , P11BeB2c6oB12 . 6 6 4 = 0. 7 01rc= 1 + 0 . 7 x 2 . 6 6 4 = 0 . 3 4 9 H S : m : =B2 . 4 E I Sl2 m : = 3 . 6 E I SIz. 2 8 T(2 6 )9 1a2:= 2 . 4E lb- 7b(0. 5 5 8 x 1 . 30 5B0 . 4 5 3 x 1 . 8 6 5 ) =B0 . 2 8 0|: =B3
10、. 6E Il2 S (0 . 4 5 3 x 1 . 8 6 5B0 . 3 4 9 x 2 . 6 6 4 ) = 0 . 3 0 5 6*:K 1 23 E Ilx 0 5 5 8 +4 E Ilab. 4 5bB3 . 4 8 6 _ _ _ _ _ _ _ _ E l _ _ _ E lol : = 2 :=Uc5l1c8 1 2B = Uc9 U 6BK Z ,4 E Ilx 0 . 4 5 33 E I _ _ . _ _ _ E l+BB Bx Uc3 4 9 =c8 5 9 se 3 , 4 8 60 . 9 0 60 , + 0 . 9 0 6E Il0 : + 2 . 8
11、 5 9b:Bb. 2 8bls -b:ab. 3 0 5 6 s -b:Bb. 14a2 7IEI0 ; = 0 . 1 17 8BM !Boco7 8XB2c4:1 . 6 7 4*+ 2 . 4Bb. 4 5 5sE Il2 5x 0 . 5 5 8 K I . 3 0 5M : = 0 . 14 42+ 3 , 6SIE Il2c1 . 0 4 7B3 . 6 scbc3 4 9c 6 6 4sBb. 4 0 4s 3 . 52VS ? 3, rM MbE b_ _ _ _ _ _ _a_ _ _ _ E lb1=B2c4;bLoc5 5 8BUc4 5 3 ) =B0c2 5 2Bl
12、1Bb_ _ E lb_ _ _ _ _ _ _a_ _ _ _ E lb: = 3c6B r .b Uc4 5 3BOc3 4 9 ) =bc5 5 ,+ b3 . 4 8 6*b: +b.bb6 b. 9 0 6b, + 2c8 5b b:Bb. 2 5 2sBbb: +b. 5 5bsBbS _ _ _ _ _ Sg, = Vc14B B,so=BUc3 gB B_ _ . 5 _ _ _zE l _ E l _ _ _ _ _ _ _ _ _ E l _l m=b, 1 F4BX icb4 es esc4B 7Bx ocbf g=Bic1 1bb_ _ _ _ S _ _ _ E l
13、_ _ E l _ _ _ _ _ _ E l _N1 2=Uco3 gBx lcU 4 B - + 3c6 BUc3 4 9 = 1c5 0 5 54 , t O s QC, m9 U, GQ!7? O, -O HWM14hb 9 t3 x 30 m ,1 g=10 t/ m ,q 40 c mbO H = 8“9 , (b,g V Um10 b1 )B ,D , = sb( b )g10 t / mCO j= m8bnBmm92 )=baB = J O O -1Y, t=35?,m, = 21h, ;a= 7?, T(2 2 )9 bM“ : r, iM A70 % ,Vib: = 2 .
14、 0 , h ,b= 4 0 e m ,m3b: = 1 . 4 ,JI , *=Z x i . 4=2 . 5 , T (tm) =Z o o C , a=i ,t=3 5#7?,m4 g, , sbo0 . 3 5 4 , , 7 = 0 . 2 0 , tBr=2 8?,m5m, ,B:b= oc5 1 , T(2 2 ) :Jsb, , = 2cs x (oc3 5 4Boc2 ) + 0c4 X Oc5 1=oc6 3 6 , 1n, = 0 . 48 , T(2 7 )Jb, 1 =J5 0 . ,BJ2B, 7 = 0 . 6 3 6B0 . 4 8 0=0 . 1 5 6baB
15、 = J O O -,= . = #M= Y, t = 35?,F - Tm= 21?, : = a35 ,2 , =b. 3 2 2,Pb. :1 1= zBeBoc3 2 B0 . 3 2 2 = 0. 5 2 6 8 , r oa2 =1 E0a5 2 6 8 x 0 . 3 2 2 = 0. 8 5 5rB, :Jb, 1 = 0 . 8 5 5 x 0 . 1 5 6 = 0 . 1 3 3 4 ,rb, :Jb, : = 0 . 8 5 5 x 0 . 3 2 2o0 . 2 7 5 3ba= J O O -1Y,=J: l , 7o0 . 4 8 0 ,= 2 1?, rb= 7
16、?bJ. , 1Pb, - lB 0 . 4 8=0. 5 39 8 ,b,B= 11 + 0 . 5 3 9 8 x 0 . 4 8 = 0. 7 9 4 2rb, zJb, 1 = 0 . 7 9 4 2 x 0 . 4 8 0 = 0 . 3 8 1 29 /( T25m) :ab2 ,aBqt. r3 0 )c0 2 = 0 . 0 8 5 5 E I 0 : sll|lmm3 gles!.;ka.+lraeslesre7 ll 12 B 2B B 6 + B4 E I 6 E I6Bn6 26 E I 12 E IB6 2 6 32 E I 6 E In6B6 25 580.BB.1
17、a/!MYm21!0 . 5 7 0B0 . 14 2 5 0. 2 5 5ab2= E lB0 . 14 2 5 0 . 0 4 7 50 . 2 85B0 . 14 2 5B0 . 1 4 2 5 )b3 0 . 5 7 0 0 5/11!laml ,1J3 .! Vm211|maaal1!l!.J 0 . 0 0 0 1 7 0 . 0 0 4 14E I 0 . 0 0 4 2 4 0 . 0 0 9 2 53OtI.m.1.a3!|Z B2 113EB24B Bb,2B FmB FBJ 3B2BlB )syM T( 2 6)9 b ,Ba(BX 1 0 X 3 0 2 + 18b)
18、Xbc13 3 4 + 4 4 4c6 Xbc2 7 5 3 ;BaB3c2 9 ,!2!|l)tb, ; f B1ba6 :Blab) xb. 1 3 5 4B4 4m. 6 xb. 2 75 5; aim,2B x 10 x 6 x 0 . 1 3 3 4B18 4 . 3 20 . 2 7 5 3 Cx 10 x 6 : x 0 . 13 3 4B1 8 4 . 3 2 x 0 . 27 5 31!.1 m|B1 4 2 . 4 1, aq ,JAOJ., . ;fBBa , glOnJ.nXa Q g.PBn, B21 11BIJe J7 8:,4| g .01 |212BBBlese
19、;we.!t CB)qnZ :r ( 6 3 0 + 18 4. 3 2 ) K 0 . 3 8 1 2Y3 1ar|a 2a3 g g/11!a,m.1|/F“ # _ , Z T( 0 . 0 8 5 5 + 0 . 5 7 0 )B0 . 14 2 5 0 . 2 8 5E lB0 , 14 2 5 ( 0 . 0 4 7 5 + 0 . 0 0 0 17 ) (B0 . 14 2 5 + 0 . 0 0 4 14 )! 0 . 2 8 5 (B0 . 24 2 5 + 0 . 0 0 4 14 ) (0 . 5 7 0 + 0 . 0 0 9 2 8 )E B3 . 2 9B14 2
20、. 4 1 )3 2 8 6 E12 . 9 3 _=O ,(B5 4 , 7 4 + 3 1 0 . 4 20 . 6 5 5 5B0 . 1 4 2 5 0 . 2 8 5-B0 . 14 2 5 0 . 0 4 7 6 7B0 . 1 3 8 3 6(a0 . 2 8 5B0 . 1 3 8 3 6 0 . 6 6 9 2 8! ! EoU 38bBn4 5c7 )+ 4 5c7 9 Bp2 55b6 8M T( 3 1 )9 : M Z =B95 . 10tBmb3 )9 Ot=co = aaB OFM“ :. , 3 =b, :b=2 . 2 , : . 3=0 . 4 0 4 2
21、, :b, :J. ,b=b. 8 ,= OFM“ :J=, 3=. , : :BJ:b, : , = 2 . 02 , , . ,bJ=. :=0 . 4 0 4 2 x 2 . 02 0 . 8 16 5 ,B OFM“ :J 3 =,BJ3s, , = 2c0 04 , :b, 3J, 3 = 0c4 0 4 2 x2 . 0 0 4 = 0 . 8 10ba= OFM“ :Jm. : =Jb. : : = 2c3 4 , rb, 3 = oc3 8 6 2 , rb,bb, :=oc3 8 6 2X 2 . 3 4 = 0 . 9 0 3 7 ,= OFM“ :J=, : =J,BJ2
22、 : , , = 2c16 , rb, 3Jm.b=bc3 8 6 2 x Zc16= 0 . 8 3 4 2bca : OFM“ :Jm, :=?=2 . 64 , ,q3 = 0c3 5 18 , r:Jb, : = 0c3 5 1 8x 2 . 6 4 = 0 . 9 2 8 6b9 #,F“ # _ :c|l/233 5Ot) gULl gl!l0 . 3 0 9 9B0b0 67 3 70 . 1 3 4 70O0B0 . 0 6 7 3 70 . 0 2 27 9 5B0 . 0 6 3 3 50b0 0 4 0 2000b13 4 7B0 . 0 6 3 3 50 . 3 3 3
23、 8 70b0 3 2 1 80000 . 0 0 4 0 20 . 0 3 2 1 80 . 3 2 1 8 7B0 . 0 6 4 3 70 . 1 2 8 7000B0 . 0 6 4 3 70b0 2 1 5 3 6B0 . 0 6 2 5 4O000 . 12 87B0 . 0 6 25 40 . 3 0 14IEB8 8 6 . 9 51 2 2 . 8 33 7 8 . 2 4B3 7 5 . 3 91 6 1 . 4 96 4 7 . 5 1qb2 0 3 0 3bmb5bbrB q4 8 2 2 . 7 6 , 6 5 6 9 . 5 5 ,B12 2 5 . 6 5 ,B6
24、 2 9 1 . 9 6 ,B6 2 2 2 9 . 8 5 -B12 3 7 0 . 7 2rrb2#4K M : =B8 3 3 . O l tBm (B9 0 0 . 0 tBm ) ,Mm=B8 9 8 . 6 tBm (B9 0 0 . o tBm )b| = BQ O blZE N, 51a2a3 4ZE:ZE9 T 1 , V2b 54ZE Ea+ +a:ZE9 T1 , V3bYV1 A,+ZET 1 ,9 E , Ve Vr T V Ub 4ZE V H9 MM#M = ,i O I3 251a2a3aM = 9 T1 V2M = 5m1 5o 53 _ZE:EZE:EZE!
25、M : , ( VBm ) 9b9 3 9B9 6M : , (tBmz ) 0 . 5 5 7 0B5 5 7Bbc4 5 5ob. 4b*SBbcb9 3lSbc4bb SB1 . , 15o1 . 5 0 5s54M = s9 T1 M = EE+ +E:E / / :B1c,b6,lc; 8bV3=/ EZM Z , ( tBm )B8 33b0 1M . , ( tBm )B89 8b6 0l l 6l 7llBl 7 ,S “ - “KE 9 M = H,|EE , ,iM _ T a, Vb HW? 3 f , V E,QY V p1 53 Tb ZM |FT W% ,n,4 L
26、in,NV Ub IDq1r( 2rq8rq4rEaH L:s = FP C ; BO| I nf9B E g9B, 19 7 9 V o l 21b5 .D rBI n gbD i e t e r , L e o n h a r d t u n d A n d r 9: G e m e i n s e h a ft B e r a t e n d e r i n g e i e u r eV B I S t u t t g a r t B e t o n u n d s t a h lBb e t o n b a u , M a i 19 7 7 H e f t 5 .: B (l) , Z
27、 g !9, 19 7 8 MbEbEbq : r B 9 , Y, 19 6 5 Mbc3 3 .!A N ALYS IS O F D E FO R M A T IO N AN D ST R E SS R E D !ST R !BU T .O N O FC O NT . NU O U S ST R U C T U R E D U E T O CR E P OF C ON C R E T EiT a k i n g a e e o u n t o f lo a d in g a t d iff e r e n t a g ea n d d e la y e d e la s t ie it y
28、 o f e o n e r e t eiJin C h e n g d iA b s t r a e tT h e e r e e p o f e o n e r e t e e o n s id e r i n g t h e d e la y e d e ffe e t o f e la s t ie it y 1 5 a d e v e -x o p m e n t o f t h e a p p li e d e r e e p t h e o r rbT h e p r o e e d u r e o f e s t im a t i n g t h e s t r e s s r
29、 e -d i s t r ib u t i o n d u e t o e r e e P i n ge t u r e lo a d e d a t d i f fe r e n t a g eC O l C f e t e 0 f a s e g tn e n t a lly e a s t e o n t i n u o u s 5 t f UBe o e r e t e ,EC a n b e s i rn p l ifi e d b y u s e o f t h e 1O -d 1 f i e d m o d lu se ie n t P i mq2ro f e l a s t
30、i e i t yB1EPnb u t t h e d e t er m in a t i o n o f t h ei n v o lv e s a lo t o f d i a g r a m s b a s e d o n d if fe r e n t: o , t h e o r e t ie a l t h i e k n e s s o f m e m b e r s h ,m-1a y e d e ffe e t o f e l a , t i e i t yJJ , t h a t le a d st h e f i n a l y i e ld in ga g e s o
31、ff1 o wJ,m,e o e f fi -1o a d i n ga n d d e -.y OO,.+Olt o a e o P li e a t e d e o tn p u t e r w o r kbT h ee o e ff i e i e n tp r o p o s e d b t h e a u t h o r h e r e t a k i n g a e e o u n t o f d e la e d e ff e e t o fe la s t i et y 9 1e s a r e s u lt e l l e o n s i s t e n t w it h t
32、 li a t e a le u la t e d b y t h e fo r m e r e o -e ff i e le n tbD e r iv a t i o n o f f o r m u l a s f o r e a le u l a t i n g s t r e s s r e d i s t r i bt i o n b y f i n i t e e le -tn e n t m e t h o d 1 5 g sv e n sn t h i s p a p e r , a n d s o m e e x a m p le s b y h a n d e a le u la t i o n a r ea 15 0 g i v e n a s a n i llu s t r a t i o nb
