Abstract:
Response modification factors in building codes are an essential part of
all seismic building codes. These factors are used in the denominator of
the base shear equation in the simplified method of seismic design to
reduce the base shear in order to encompass non-linear seismic
resistance potential of buildings. The selection of response modification
factor for a specific class of structural system has, therefore, serious
implications on the safety and economy of structural designs. Keeping
in view the importance of response modification factor, a large number
of researchers around the world, have made attempts to evaluate this
factor for different types of structural systems. In all the cases, however,
these factor have been evaluated considering a particular design code
and local construction practices. Therefore, these factors are not
universal and hence cannot be used in every region. Response
modification factors that are part of building code of Pakistan have been
adopted from an American code. Variation and uncertainties in
construction practices and quality of construction in Pakistan are
different from those in the US which renders the response modification
factors inapplicable to design of buildings in Pakistan, until verified.
There is a need for development of response modification factors for
forthcoming edition of building code of Pakistan that are reflective of
the true seismic building performance in Pakistan. This research was
carried out to compute response modification factors for Special
Moment Resisting Frame (henceforth referred to as SMRF) buildings in
Pakistan
This research work was initiated through a building stock survey that
was conducted in five main cities of Pakistan to study contemporary
construction practices. Several disparities were found to exist between
design specifications and construction practices. These included
reduced compressive strength of concrete as compared to specified
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compressive strength, haphazard and increased spacing of ties and
stirrups, improper location of lap splices and smaller diameter of
reinforcement as compared to nominal diameter, amongst others.
Experimental models of RC beam-column connections were built
incorporating these deficiencies. These models were then subjected to
reverse cyclic loading in quasi-static experiments. The experimental
results obtained from quasi-static tests were used to calibrate numerical
models of the connections and were consequently integrated into
numerical building models. Numerical simulations were carried out on
reinforced concrete frames to compute response modification factors.
Response modification factor was computed for a total of 256 twodimensional
hypothetical reinforced concrete buildings based on
experimental response of beam-column connections. The set of
hypothetical frames considered varying span lengths and number of
storys. The frames were designed based on BCP-SP 07 and analyzed
using non-linear pushover analysis for computation of response
modification factor. The disparity between design specifications and
actual construction was accounted for in non-linear constitutive law for
structural members derived from the experimental work.
The computed response modification factors showed a wide dispersion
with building span lengths, number of storys and detailing deficiencies.
As a general trend, the values of response modification factors decreased
with increasing period of vibration of the buildings and increasing span
lengths. Based on the extensive experimental and numerical work,
response modification factor value of 8.5 is recommended for RC SMRFs
for standard quality control environments, where a full compliance
between design specifications and construction practices is ensured. The
overall range of the computed response modification factors for fullycode-
compliant SMRF buildings is from 6.0 to 12.0 which signifies a
large scatter in the values based on varying span lengths and building
heights. This necessitates the use of period-dependent response
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modification factors in the forthcoming editions of the Building Code of
Pakistan. For buildings with construction deficiencies pertaining to
concrete quality and reinforcement detailing, the values of response
modification factors range from 4.0 to 6.1 for buildings with varying
span lengths and height. The determination of quality control
environment and subsequent use of response modification factor is left
to the discretion of design engineers. It is, however, emphasized that a
judicious selection of response modification factor, based on ground
realities, should be made by design engineers to avoid a compromise on
the safety and economy of structural designs. A minimum requirement
of 20.db should be adopted in the building code for proportioning the
column depth in exterior beam-column connections to ensure hinging in
beams rather than joints.