Sage Journals: Discover world-class research

Abstract

This paper presents a finite element plasticity-based computer algorithm to analyze steel frames with flexible joints under static proportional loading, unloading, and reverse loading. Each connection mechanism is modeled using a rotational spring element with two nodes of identical spatial coordinates and the same translational degrees of freedom and different rotational degrees of freedom for modeling the relative rotation of the beam and ends of the connection. Instead of using a classical coupled nonlinear algorithm for the connection element and member geometric stiffness, a unique solution method is introduced that simultaneously iterates to find the incremental connection element and member geometric stiffness of the structure through solving the nonlinear system equation. To model unloading and reverse loading at the joints between beams and columns, a three-parameter, kinematics hardening model for moment-rotation behavior is considered. For proof-of-concept, a one-story, one-bay frame with two connections is considered for parametric study. It is shown that different connection constitutive equation (moment-rotation characteristic) in a frame could cause moment reversal in some connection(s).

Keywords

frame analysis flexible joints connection unloading finite element nonlinear algorithm kinematic hardening models

Get full access to this article

View all access options for this article.

References

Abolmaali

(1999). Cyclic Nonlinear Finite Element Dynamic Analysis of Steel Frames With Flexible Joints, Ph.D. Dissertation submitted as partial fulfillment for degree of Doctor of Philosophy, School of Civil and Environmental Engineering and Environmental Science, University of Oklahoma, Norman, Oklahoma.

Abolmaali

Kukreti

A.R.

and Razavi

S.H.

(2003). “Cyclic performance of semi-rigid double web angle steel connections”, Journal of Construction Steel Research. Vol. 59, No. 8, pp. 1057–1082.

Astaneh

Nader

M.N.

and Malik

(1989). “Cyclic behavior of double web angle connections”, Journal of Structural Engineering, ASCE, Vol. 115, No. 5, pp. 1101–1118.

Baker

J.P.

(1931). Methods of Stress Analysis, First and Second Reports, Steel Structures Research Committee, HMSO, London, England.

Bhatti

M.A.

and Hingtgen

J.D.

(1995). “Effects of connection stiffness and plasticity on the service load behavior of unbraced steel frames”, Engineering Journal, AISC, Vol. 32, No. 1, pp. 21–33.

Chen

W.F.

Goto

and Liew

(1996). Stability Design of Semi-Rigid Frames, John Wiley and Sons, New York.

Chen

W.F.

and Lui

E.M.

(1991). Stability Design of Steel Frames, CRC Press, Boca Raton.

Christopher

J.E.

and Bjorhovde

(1998). “Response characteristics of frames with semi-rigid connections”, Journal of Constructional Steel Research, Vol. 46, No. 1–3, on CD ROM.

Gere

J.M.

and Weaver

(1965). Analysis of Frame Structures, Van Nostrand, Princeton NJ.

10.

Goto

and Chen

W.F.

(1987). “On the computer-based design analysis for the flexibly jointed frames”, Journal of Constructional Steel Research, Vol. 8, Special Issue on Joint Flexibility in Steel Frames, pp. 203–31.

11.

King

W.S.

and Chen

W.F.

(1993). “LRFD Analysis for semi-rigid frame design”, Engineering Journal, AISC, Vol. 30, No. 4, pp. 130–140.

12.

Kukreti

A.R.

and Abolmaali

(1999). “Moment-rotation hysteresis behavior of top and seat angle steel frame connections”, Journal of Structural Engineering, Vol. 125, No. 8, pp. 810–820.

13.

Kukreti

A.R.

and Abolmaali

(2000). “Dynamic analysis of steel frames with semi-rigid connections”, Proceedings of the XIXII Southeastern Conference on Theoretical and Applied Mechanics, Deerfield Beach, Florida, May, pp. 13–16.

14.

T.Q.

Choo

B.S.

and Nethercot

D.A.

(1995). “Connection element method for the analysis of semi-rigid frames”, Journal of Constructional Steel Research, Vol. 32, No. 2, pp. 143–171.

15.

Lightfoot

and Le Messurier

A.P.

(1974). “Elastic analysis of frameworks with elastic connections”, Journal of Structural Division, ASCE, Vol. 89, No. ST6, pp. 1297–309.

16.

Lionberger

S.R.

and Weaver

Jr. (1969). “Dynamic response of frames with non-rigid connections”, Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. EMI, Proc. Paper 6393, pp. 95–114.

17.

Livesley

R.K.

(1964). Matrix Methods of Structural Analysis, 1st edn. Pergamon Press, Oxford.

18.

Lui

E.M.

and Chen

W.F.

(1987). “Steel frame analysis with flexible joints”, Journal of Constructional Steel Research, Vol. 8, pp. 161–202.

19.

Monforton

G.R.

and Wu

T.S.

(1963). “Matrix analysis of semi-rigidly connected frames”, Journal of the Structural Division, ASCE, Vol. 89, No. ST6, pp. 13–42.

20.

Nethercot

D.A.

(1986). “The behaviour of steel frame structures allowing for semi-rigid joint action”, In Steel Structures; Recent Research Advances and their Application to Design, Pavlovic

M.N.

ed., Elsevier Applied Science Publishers, pp.135–152.

21.

Poggi

(1988). “A finite element model for the analysis of flexibly connected steel frames”, International Journal for Numerical Methods in Engineering, Vol. 26, pp. 2239–2254.

22.

Popov

E.P.

and Bertero

(1973). “Cyclic loading of steel beams and connections”, Journal of the Structural Division, ASCE, Vol. 99, No. ST6, pp. 1189–1204.

23.

Rathbun

J.C.

(1936). “Elastic properties of revited connection”, Transactions, ASCE, No. 101 pp. 524–63.

24.

Rodrigues

F.C.

Saldanha

A.C.

and Pfeil

M.S.

(1998). “Non-linear analysis of steel frames with semi-rigid connections”, Journal of Constructional Steel Research, Vol. 46, No. 1–3, pp. 94–97.

25.

Sack

L.R.

(1994). Matrix Structural Analysis, Waveland Press Inc., Illinois.

26.

Suko

and Adams

P.F.

(1971). “Dynamic analysis of multibay multistory frames”, Journal of the Structural Division, ASCE, Vol. 97, No. ST10, pp. 2519–33.

27.

Tsai

K.C.

S.W.

and Popov

E.G.

(1995). “Experimental performance of seismic steel beam-column moment joints”, Journal of Structural Engineering, Vol. 121, No. 6, pp. 925–931.

A Simultaneous Coupled Nonlinear Algorithm for the Analysis of Steel Frames with Flexible Joints considering Joint Unloading

Abstract

Keywords

Get full access to this article

References