Design of steel brace connection to an RC frame using Uniform
Force Method
Mahmoud R. Maheri ⁎, S. Yazdani
Shiraz University, Iran
abstract article info
Article history:
Received 15 May 2014
Received in revised form 30 March 2015
Accepted 12 September 2015
Available online xxxx
Keywords:
Steel bracing
Reinforced concrete
Brace connection
Uniform Force Method
Seismic design
Seismic retrofitting
Steel bracing is a viable alternative to a shear wall when designing or retrofitting reinforced concrete frames for
seismic loads. Directly connecting the bracing system to the RC frame is the most cost effective method of joining
the two systems together. In this paper, the design basis for such a connection is set out and controlled for accuracy
and safety. To this end, numerical models of steel brace/RC frame connections are developed and verified against
experimental results obtained from similar connections. The numerical models are then used to evaluate the
efficiency of the analytical Uniform Force Method (UFM) used for connecting braces to steel frames and adopted
here for connecting braces to RC frames. It is found that the UFM can be applied effectively and conservatively to
design brace/RC frame connections. A detailed investigation on the level of overdesign is also carried out through
parametric analyses of the main problem variables including the brace angle and dimensions of the gusset plate. It
is found that, for most practical cases, the error in using the UFM analytical approach is less than 20%. Finally,
necessary considerations for design of different components of the brace–frame connection are set out.
© 2015 Elsevier Ltd. All rights reserved.
1. Introduction
The idea of using steel bracings as lateral resisting elements in RC
frames has received some attention in recent years. The earlier works
concentrated either on external bracing of the RC frames [1,2] or on
indirect internal bracing through intermediary steel frames [3,4]. Both
methods have a number of shortcomings, particularly in terms of
application and cost. In 1997, Maheri and Sahebi [5] proposed a direct
connection between steel bracing and RC frame in a manner similar to
that used in steel frames. Further experimental [6–9] and numerical
[10,11] works carried out by Maheri and colleagues showed the efficien-
cy of the directly connected steel brace/RC frame systems in resisting
the seismic loads and improving the seismic performance of the system.
In their works, they experimented with different bracing systems
including X-bracing and Knee-bracing [6] and studied the efficiency of
a new compression release device, placed in the compression brace
[9]. Also, Maheri and Akbari [10] evaluated the seismic behaviour factor
for the brace/RC frame system used in calculating seismic force and
Maheri and Ghaffarzadeh [11] proposed design principles for steel
bracing of RC frames. Other works carried out by Tasnimi and Massomi
[12] and Abou-Elfath and Ghobarah [13] have also shown that by using
the appropriate forms of direct internal bracing with appropriate con-
nections, good seismic performance could be expected from the steel
brace/RC frame systems.
The efficiency of the directly connected brace–RC frame system
depends on the ability of the connection between the two elements to
successfully transfer the loads. This was highlighted in the results of
the experiments reported by Maheri et al. [6]. To address this important
issue an initial experimental investigation was conducted by Maheri
and Hadjipour [7]. They carried out nonlinear static tests on full-scale
models of three types of connections. They adopted the Uniform Force
Method provisions for designing brace–steel frame connections to
design their connection specimens. They showed that the connections
and their elements were strong enough to withstand the forces and
that the brace failure and rupture preceded the failure of the connection
elements. However, they did not investigate the level of overdesign in
the tested specimens and did not investigate the effects of design
variables such as the size of the gusset plate and angle of the brace on
the efficiency of the UFM for such connections.
Further to the work reported by Maheri and Hadjipour [7], in the
present paper the effects of design variables and the general efficiency
of UFM are investigated in detail through experimental and numerical
evaluations and a design basis is set out for individual elements within
the connection.
1.1. Types of connection
Although steel bracing of RC frames started as a measure for
retrofitting existing buildings, it soon developed into a method for
designing new buildings. Presently, therefore, different connections
may be used depending on the type of application. A number of differ-
ent connection types have been proposed [7]. In the present paper,
Journal of Constructional Steel Research 116 (2016) 131–140
⁎ Corresponding author.
E-mail address: maheri@shirazu.ac.ir (M.R. Maheri).
http://dx.doi.org/10.1016/j.jcsr.2015.09.010
0143-974X/© 2015 Elsevier Ltd. All rights reserved.
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