SOME CONSIDERATIONS ON STRUCTURAL DESIGN BASED ON SECOND-MOMENT THEORY By Naruhito SHIRAISHI, Hitoshi FUR UTA and Masanori NAKANO

Size: px

Start display at page:

Download "SOME CONSIDERATIONS ON STRUCTURAL DESIGN BASED ON SECOND-MOMENT THEORY By Naruhito SHIRAISHI, Hitoshi FUR UTA and Masanori NAKANO"

かずしことじ
4 years ago
Views:

1 SOME CONSIDERATIONS ON STRUCTURAL DESIGN BASED ON SECOND-MOMENT THEORY By Naruhito SHIRAISHI, Hitoshi FUR UTA and Masanori NAKANO

2 Z=lnR-lnS (9) Z=9(X1,X2,X,).. Z=q(X1*,X2*,Xn*)-{-i.-L,(X1X*) Iz=gCaxi,xn) og2 crz=og2og2og2og2og2 =gc,zxix2,/lx?) Qzag2 QXla++ag jz=g(x1*,x2,xn*)+-(x1 1nIRli 19S2IS Z=lnR*/S*+(R-R*)-R* Z=ln,RI,1S+&Rr-BSs Z=QRr-E-SS-I-,R-,S Z=IRexp(xr)-useXP(uss) S: Cornell

3 Z=IRexp(&Rr*)--ifsexp(sss*) Q(rs,2)=IR(r,s)-2(/r2+s2-Qd) +JtRBRexp(Rr*)(r-r*) usosexp(uss*)(ss*) QRexp(aRr)(l-.dRrQRexp(aRr)(l-.dRr 1IZR2oR2exp(2aRr o(r,s,2)=/sexp(ss-orr)-2(vr2+s2 a-=r/2sexp(oss-rr)--7=j c-s,tsexp(ss-orr)-/r2-e act) =/r2s2-/9a=0 R=expR28s2/

4 Z=(IR+6Rr*)-(/2S+QSS*) RNd+USPd =IR/- wn---rsnwt /S22-yS2- o=1-drro-iq p=1-(ssp+2 Rzexn(2fpr)+ac2exn QRexp(28e vsuscxyl&so)n,r b=1-. r-1+-l-- 6RdRid 6sdsa qs=exp- T=exp-2-z ORPd 1oR2+S2/ 0=0.922x= =0.971

5 as2=6d2+6l2. /OjfO (1 /trltditl) /6R2+6D2+6L2 1=l-Dexp(oDd)eXp(-oRr)+/Lexp(LZ) QR2exp(2oRr)+QDZexp(2oDd)+ C= VQR2exp(2ORr)+aD2eXp(2oDd) =exp(8rr*) rd=exp(dd*) rl=exp(8lz*) exp(-vu)>c V=VRZ-{-VLNL -In/tRInCuD1L exp A/n2D2+p2oL2 exod2qd+pexp PGl+P)2V)P exp/ fir2lod2+p2l2

6 JR>(nur.)QdJaR26n2+Qr2 R>rD2D+TLuL I-ER>(ID+I2L)+fldaRS{QRcDL(6DQL)} RS-6 6-I-6GQLIQLRSDLa Rm6gDL=6D-f-6L

8 Load Factor "Z= -Iterative Ang --Tr. Appr. Load Factor y --Tri. Iterative Appr. Z=(1+p)6(1+8Rr) -(1+8Dd+p+poLl)(IE+1Ee) Z=(1-+-p)Oexp(SRr) -{exp(sdd)+pexp(j)} teexp(ee)..

9 B-uR1)Rp{1+11P*+20/(50+1) us/e(sdip*+vz) j9=vr*2+d*2+z*2+e*2 o=(1+8rr*)vr TDO=(UE+6Ee*)(1+oDd*)vD TLo=(,E+QEe*)(1+LZ*)vL TDo=Eexp(oEe*)exp(oDd*)vj rlo=/eexp(ee*)exp(8ll*)vl Upper Low (X-ug)/6X-space Lower Low (lnx-inux)/8xspace -.(X-1l (1nX-InPX)/X x)ix 28828E2+(8D2+p28L2)/(1p) VR2+E2+(D2+p2oL2)I(1+p)

10 case 1 s-0 AFOM (1nX-1npX)/6Y case 2 --+AFOM (X-pX)/6X case 3 0--o Tel. Appr. Z=ln R/S case 4--Tel. Appr. Z=R-S --AFOM AFOM (1nX-1nux)/SX (X-uX/6X ---0 Tri. Appr. Z=1n R/S Tri. Appr. Z=R-S

11 1) Cornell, C.A.: Structural Safety Specifications Based on Second-Moment Reliability Analysis, IABSE Symposium on Concepts of Safety of Structures and Methods of Design, Final Report, London, England, pp , tors, Proc. ASCE, Vol. 97, ST 6, pp , June, ) Ravindra, M., N. Lind and W. Siu: Illustrations of Reliability-Based Design, Proc. ASCE, ST 9, pp , Sept., ) Ravindra, M. and T. Galambos: Load and Resistance Factor Design for Steel, Proc. ASCE, ST 9, pp , Sept., ) Rackwitz, R.: Practical Probabilistic Approach to Design, CEB Conf., Paris, pp , ) Rosenblueth, E. and L. Esteva: Reliability Basis for Some Mexican Codes, ACT, Publication SP 31, pp. 1 X41, Mar., ) Hasofer, A. and N. Lind: Exact and Invariant Second Moment Code Format, Proc. ASCE, EM 1, pp , Feb., ) Ang, A.: Series of Lectures on Structural Reliability and Probability-Based Design, Lecture Note, Apr., ) Shah, H.: Statistical Evaluation of Load Factors in Structural Design, Study No. 3, Solid Mechanics Division, Univ. of Waterloo, pp , ) Fiessler, B., H. Neumann and R. Rackwit: Quadra-

12 tic Limit States in Structural Reliability, Proc. ASCE, EM 4, pp , Aug., ) Lind, N.: Formulation of Probabilistic Design, Proc. ASCE, EM 2, pp , Apr., ) Ravindra, M., A. Heaney and N. Lind: Probabilistic Evaluation of Safety Factors, IABSE Symposium on Concepts of Safety of Structures and Methods of Design, Final Report, London, England, pp , ) Siu, W., S. Parimi and N. Lind: Practical Approach to Code Calibration, Proc. ASCE, ST 7, pp , July, 1975.

Steel Construction Engineering Vol.3 No.12(December 1996)

Steel Construction Engineering Vol.3 No.12(December 1996) Applicability of Notinal Load - Plastic Hinge Analysis to Structural Design of Steel Frames ABSTRACT ; Plastic hinge method inherently assumes the elastic-perfectly plastic momentcurvature relation which