Skewed Slab-on-Girder Steel Bridge Superstructures
with Bidirectional-Ductile End Diaphragms
Oguz C. Celik, A.M.ASCE
1
; and Michel Bruneau, F.ASCE
2
Abstract: Specially designed ductile end diaphragms of steel bridge superstructures have previously proved, both theoretically
and experimentally, to dissipate seismic input energy, protecting other substructure and superstructure members. Although ductile dia-
phragms have been introduced in the latest AASHTO guide specifications as a structural system that can be used to resist transverse earth-
quake effects, no guidance is provided on how to implement these ductile diaphragms in skewed bridges. To address this need and to resolve
some shortcomings of the known end diaphragm systems (EDSs), two bidirectional end diaphragm configurations, namely, EDS-1 and
EDS-2, with buckling restrained braces (BRBs) are proposed and numerically investigated. Bidirectional end diaphragm is a new concept,
and can be implemented both in straight and skewed steel bridge superstructures to resist bidirectional earthquake effects. To assess the
relative effectiveness of the proposed systems and to investigate how various parameters relate to seismic response, closed-form solutions
are developed using nondimensional bridge geometric ratios. Numerical results indicate that skewness more severely affects end diaphragm
behavior when φ ≥ 30°. Also, comparisons reveal that although both end diaphragm systems can be used with confidence as ductile seismic
fuses, each of the two systems considered have advantages that may favor its implementation, depending on project-specific constraints.
DOI: 10.1061/(ASCE)BE.1943-5592.0000141. © 2011 American Society of Civil Engineers.
CE Database subject headings: Bridges, skew; Bridges, steel; Buckling; Bracing; Energy dissipation; Ductility; Diaphragms;
Earthquakes.
Author keywords: Skewed steel bridges; Seismic retrofit; Buckling restrained braces (BRBs); Hysteretic energy dissipation; Ductile end
diaphragms; Bidirectional earthquake effects.
Introduction
The recently published AASHTO Seismic Guide Specifications
for LRFD Seismic Bridge Design include provisions for the
design of steel bridges having specially detailed ductile diaphragms
to resist loads applied in the bridge transverse direction (AASHTO
2009; closely following the recommendations in MCEER/ATC
2003). Previous studies (e.g., Zahrai and Bruneau 1999a,
b; Carden et al. 2006) support that significant energy can be
dissipated in ductile bridge-end diaphragms, while reducing
seismic demands in other substructure and superstructure elements.
Past research has shown how shear panel systems (SPSs), steel
triangular plate added damping and stiffness devices (TADAs),
eccentrically braced end diaphragms (EBFs), and buckling
restrained braces (BRBs—also called unbonded braces) could be
detailed to provide an appropriate seismic performance. Ductile
performance requires special detailing such as that evinced by
bridge-end diaphragm damage in prior earthquakes (Bruneau et al.
1996; Itani et al. 2004).
Currently, ductile diaphragms have to be combined with
other lateral load resisting strategies to address seismic excitations
along the bridge’ s longitudinal axis. Also, AASHTO (2009) pro-
vides no guidance on how to implement ductile diaphragms in
skewed bridges—even though steel bridges with skewed super-
structure geometries are commonly encountered at highway inter-
changes, river crossings, and other places because of alignment
limitations.
This paper investigates the seismic response of the proposed
concept to implement ductile end diaphragms in skewed bridge
superstructures, at the same time resisting bidirectional earthquake
excitations—implementation in nonskewed straight bridges being a
special case of the general formulation. Here, BRBs are used as the
diaphragm ductile seismic fuses. BRBs have been implemented in
many buildings in Japan and in the United States on account of
their stable unpinched hysteretic characteristics, ease of design,
and ability to eliminate seismically induced structural damage
and provide satisfactory seismic performance. BRBs have also
been used to retrofit the Minato Bridge in Japan (Kanaji et al.
2003), the world’ s third-longest truss bridge, using a concept
similar to the ductile cross-frame system developed by Sarraf
and Bruneau (1998a, b) and analogous to the ductile diaphragm
concept.
Here, two proposed end diaphragm systems (EDSs) (i.e.,
geometrical layouts) are considered, namely, EDS-1 and
EDS-2. Although they are considered here in the perspec-
tive of new bridge design, the information presented is also
applicable to existing bridges for seismic retrofit purposes.
Results from parametric studies are used to formulate design
recommendations.
1
Professor, Div. of Theory of Structures, Faculty of Architecture,
Istanbul Technical Univ., Taskisla, Taksim, Istanbul 34437, Turkey;
formerly, Research Scientist, Dept. of CSEE, Univ. at Buffalo, Amherst,
NY 14260. E-mail: celikoguz@itu.edu.tr
2
Professor, Dept. of CSEE, Univ. at Buffalo, Amherst, NY 14260.
E-mail: bruneau@buffalo.edu
Note. This manuscript was submitted on February 12, 2009; approved
on April 15, 2010; published online on May 29, 2010. Discussion period
open until August 1, 2011; separate discussions must be submitted for in-
dividual papers. This paper is part of the Journal of Bridge Engineering,
Vol. 16, No. 2, March 1, 2011. ©ASCE, ISSN 1084-0702/2011/2-207–
218/$25.00.
JOURNAL OF BRIDGE ENGINEERING © ASCE / MARCH/APRIL 2011 / 207
J. Bridge Eng. 2011.16:207-218.
Downloaded from ascelibrary.org by Istanbul Teknik Universitesi on 01/21/14. Copyright ASCE. For personal use only; all rights reserved.