|Table of Contents|

Plastic Analysis of Frames with Tapered Members(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2006年02期
Page:
9-19
Research Field:
Publishing date:
2006-06-20

Info

Title:
Plastic Analysis of Frames with Tapered Members
Author(s):
W. S. King1;  C. J. Chen1;  L. Duan2;  W. F. Chen3
1. Department of Construction Engineering, Chaoyang University of Technology, Wufeng 00886, Taiwan, China; 2. Department of Traffic Engineering, University of California, Sacramento CA95816, California, USA; 3. School of Engineering, University of Hawaii, Honolulu HI96822, Hawaii, USA
Keywords:
tapered member;  beam-column element;  plastic hinge;  structural engineering;  steel
PACS:
TU313.2
DOI:
-
Abstract:
Several in-plane tapered members were analyzed by the simple plastic hinge method. The stiffness matrix of an I-section tapered element was derived by the finite element method with the use of superposition principle. In order to predict the locations of plastic hinges formation in members, an element subjected to bending moments and an axial load was modeled to simulate these tapered members with different boundary conditions. An additional nodal point was set after the formation of a plastic hinge was detected within the element. The most reasonable load and deflection curve could be obtained by using the two elements for each member. One should pay attention to the problem of direction in the stiffness matrix of a tapered element. The actual limit load of a beam-column could not be predicted correctly if the possible formation of a plastic hinge in a member was not considered. The limit load would be overestimated if only one element was used for a tapered member. The results show that the proposed method can be reasonably applied to the plastic analysis of frames with tapered members.

References:

[1] HAYALIOGLU M S,SAKA M P.Optimum Design of Geometrically Nonlinear Elastic-Plastic Steel Frames with Tapered Members[J].Computers and Structures,1992,44(4):915-924.
[2] FERTIS D G,KEENE M E.Elastic and Inelastic Analysis of Nonprismatic Member[J].Journal of Structural Engineering,ASCE,1990,116(2):475-489.
[3] MOHAMED S E,KOUNADIS A N,SIMITSES G J.Elasto-Plastic Analysis of Gabled Frames with Nonprismatic Geometries[J].Computers and Structures,1992,44(3):693-697.
[4] KING W S,CHEN W F.Practical Second-Order Inelastic Analysis of Semi-rigid Frames[J].Journal of Structural Engineering,ASCE,1994,120(7):2 156-2 175.
[5] DUAN L,CHEN W F.A Yield Surface Equation for Doubly Symmetrical Section[J].Engineering Structures,1990,12(2):114-119.
[6] CHEN W F,ATSUTA T.Theory of Beam-Columns,in-Plane Behavior and Design[M].New York:McGraw-Hill Book Co.,1976.
[7] CHEN C J.The Elastic-Plastic Analysis of Frames with Tapered Members[D].Tooyuan:Chung Cheng Institute of Technology,1995.
[8] GERE J M,CARTER W O.Critical Buckling Loads for Tapered Columns[J].Journal of the Structural Division,ASCE,1962,88(S1):1-11.
[9] FOGEL C M,KETTER R L.Elastic Strength of Tapered Columns[J].Journal of the Structural Division,ASCE,1962,88(S5):67-106.
[10] TIMOSHENKO S P,GERE J M.Mechanics of Materials[M].Belmont:Wadsworth Inc,1984.
[11] CHEN W F,LUI E M.Structural Stability:Theory and Implementation[M].New York:Elsevier Science Publishing Co.,1987.
[12] ATTALLA M R,DRIERLEIN G G,MCGUIRE W.Spread of Plasticity:Quasi-Plastic-Hinge Approach[J].Journal of Structural Engineering,ASCE,1994,120(8):2 451-2 473.

Memo

Memo:
-
Last Update: 2006-06-20