Parametric Study of Shear Strength of Reinforced Concrete Beams
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Date
2018-04-19
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Publisher
AAU
Abstract
Shear failure of reinforced concrete beam depends upon various parameters. On the basis
of various parameters, numerous studies have been done to assure the actual behavior of
shear failure. After a long research it is also controversial regarding the exact shear
behavior of reinforced concrete structure elements.
The paper presents a parametric study of reinforced concrete beams on shear behavior. A
nonlinear finite element analysis using VecTor-3 three dimensional simulation software
were conducted to predict the ultimate shear capacity of reinforced concrete beams. A total
of thirty two cases of randomly selected input variables namely, shear span to depth ratio
(a/d), concrete compressive strength (f
c
’), width (b), overall depth (D), longitudinal
reinforcement ratio (
l
) and web reinforcement ratio (
w
) and aggregate size (as) have been
analyzed. The random variables selection is done using Latin hypercube sampling method
(LHS). The random variables distribution follows normal distribution. And then by taking
the ultimate shear strength of the thirty two cases of beam from nonlinear finite element
analysis, a statistical data analysis is performed using regression analysis in order to
identify the most influential input parameter on the shear capacity of a reinforced concrete
beams.
Results of statistical data analysis demonstrates the significance of seven input variables.
Overall depth, width and aggregate size are highly influential. It is seen that moderate
significance of shear span to depth ratio on shear stress. Shear span to depth ratio has also
inverse relationship with shear capacity of beams and all the remaining input variables
have direct relationship with shear capacity of reinforced concrete beams. Amount and
distribution of reinforcement ratio on shear stress at failure have also moderately
influences shear capacity. Finally it is revealed that there is little significance of
compressive strength on ultimate shear capacity of a reinforced concrete beams. This will
enable to consider factor of safety for the uncertain input parameters on shear design
equations. It is helpful to construct empirical equation using large set of data.
Description
Keywords
Shear Strength, Reinforced Concrete Beam, Parametric Study, Nonlinear Finite Element Analysis