Journal of Earthquake Engineering, 16:188–210, 2012
Copyright © A. S. Elnashai & N. N. Ambraseys
ISSN: 1363-2469 print / 1559-808X online
DOI: 10.1080/13632469.2011.597485
Plastic Hinge Length Considering Shear Reversal
in Reinforced Concrete Elements
ABDELSAMIE ELMENSHAWI
1
, TOM BROWN
2
,
and SALAH EL-METWALLY
1
1
Department of Structural Engineering, Mansoura University, Mansoura, Egypt
2
Department of Civil Engineering, Schulich School of Engineering, University of
Calgary, Calgary, Alberta, Canada
Concrete structures can dissipate seismic energy during moderate to severe earthquakes by deform-
ing inelastically. The inelastic deformation should concentrate at specific locations, referred to
as plastic hinges. An experimental program was conducted to explore the factors affecting plas-
tic hinge formation and length in beams. The test variables included the concrete compressive
strength, bottom/top reinforcement ratio, shear strength, and shear demand. The increase in concrete
strength did not influence the plastic hinge length, which was increased significantly by the effect of
shear spread. The shear spread depended on the shear strength/demand ratio and was predicted
successfully by the analytical model proposed.
Keywords Plastic Hinge; Shear Demand; Curvature; Seismic Design
1. Introduction
A successful seismic design of a structure depends on the structure’s ability to dissipate
earthquake-input energy. There are many mechanisms by which a structure can dissipate the
earthquake-induced forces. Of these mechanisms, formation of the so-called plastic hinges,
if they are designed properly, is one effective mechanism. The lateral strength of a structure
can be fully achieved as designed, if the structure is able to form a beam mechanism. In this
mechanism, the inelastic deformations are concentrated at the beam ends and the column
ends of the first story (column base). These locations are identified as the plastic hinges. The
formation of the plastic hinges at the ends of columns of a middle story can lead to a column
or soft story mechanism. The latter mechanisms will increase and concentrate the rotational
demand in one story vs. the former beam mechanism that distributes the rotational demand
throughout the structure. In addition, the column mechanism can cause instability in the
building and negatively affect the gravity resisting mechanism. Moreover, the rotational
capacity associated with the column mechanism is usually much smaller than the rotational
capacity associated with the beam mechanism. Prediction of the inelastic capacity and drift
for an element or a structure depends on the length over which the inelastic deformation
will occur (plastic hinge length).
In general, there are many factors that can affect plastic hinge length including
post-yield characteristics of the reinforcement, moment-shear interaction, and element
Received 4 January 2010; accepted 12 June 2011
Address correspondence to Abdelsamie Elmenshawi, Department of Structural Engineering, Faculty of
Engineering, Mansoura University, Mansoura, 35516, Egypt; E-mail: samie@mans.edu.eg
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