Seismic Response of Reinforced Concrete Buildings: Field Challenges and Simplified Code Formulas

Building code-related literature provides
recommendations on normalizing approaches to the calculation of
the dynamic properties of structures. Most building codes make a
distinction among types of structural systems, construction material,
and configuration through a numerical coefficient in the
expression for the fundamental period. The period is then used in
normalized response spectra to compute base shear. The typical
parameter used in simplified code formulas for the fundamental
period is overall building height raised to a power determined from
analytical and experimental results. However, reinforced concrete
buildings which constitute the majority of built space in less
developed countries pose additional challenges to the ones built with
homogeneous material such as steel, or with concrete under stricter
quality control. In the present paper, the particularities of reinforced
concrete buildings are explored and related to current methods of
equivalent static analysis. A comparative study is presented between
the Uniform Building Code, commonly used for buildings within
and outside the USA, and data from the Middle East used to model
151 reinforced concrete buildings of varying number of bays, number
of floors, overall building height, and individual story height. The
fundamental period was calculated using eigenvalue matrix
computation. The results were also used in a separate regression
analysis where the computed period serves as dependent variable,
while five building properties serve as independent variables. The
statistical analysis shed light on important parameters that simplified
code formulas need to account for including individual story height,
overall building height, floor plan, number of bays, and concrete
properties. Such inclusions are important for reinforced concrete
buildings of special conditions due to the level of concrete damage,
aging, or materials quality control during construction.
Overall results of the present analysis show that simplified code
formulas for fundamental period and base shear may be applied but
they require revisions to account for multiple parameters. The
conclusion above is confirmed by the analytical model where
fundamental periods were computed using numerical techniques and
eigenvalue solutions. This recommendation is particularly relevant
to code upgrades in less developed countries where it is customary to
adopt, and mildly adapt international codes.
We also note the necessity of further research using empirical data
from buildings in Lebanon that were subjected to severe damage due
to impulse loading or accelerated aging. However, we excluded this
study from the present paper and left it for future research as it has its
own peculiarities and requires a different type of analysis.