Civil Engineering Reference
In-Depth Information
Table 3.1 Partial safety
factor [ 2 ]
Material
Partial safety factors
FRC in compression
As plain concrete
FRC in tension (limit of linearity)
As plain concrete
FRC in tension (residual strength)
γ
F = 1.5
f Ftsd ¼ f Ftsk =c F
ð 3
:
6 Þ
f Ftud ¼ f Ftuk = c F
ð 3
:
7 Þ
The recommended values for the partial safety factors are given in Table 3.1 .
For serviceability limit states (SLS), the partial factors should be taken as 1.0.
3.3 Fibers Effects on Shear Behavior
3.3.1 Fibers Concept
Fibers can be considered as reinforcement spread out all over the depth of a
structural element [ 3 ].
3.3.2 Effect of Fibers on Shear Strength and Stiffness
Steel
bers increase the shear strength [ 4 , 5 ] and the load corresponding to the
rst
crack [ 4 ].
The effectiveness of
bers to increase shear strength is dependent on several
factors related to: matrix properties,
ber properties (materials properties, aspect
ratio, and shape),
bers [ 6 ].
In 1987, Narayanan and Darwish [ 7 ] claimed that ultimate shear strength increased
in higher rates when higher values of
ber content, and bond stress versus slip response of
ber aspect ratio were used but, using higher
ber content resulted in little improvement in shear strengths. On the other hand,
other authors claimed the opposite. In fact, other authors like di-Prisco et al. [ 8 ],
Lim et al. [ 9 ], Oh et al. 10 ] and Conforti [ 11 ] found that the shear strength of concrete
beams could be increased signi
cantly even incorporating low amounts of steel
bers. Conforti [ 11 ] also ensured that
bers can alter the mode of failure of the
structural elements from shear to
exure enhancing ductility and bearing capacity.
Other authors link the increase of shear strength to the volume of
fl
bers.
Greenough and Nehdi [ 12 ] ensured that a volume of steel
bers equal to 1 % can
increase shear capacity up to 128 % with respect of reference beams, on the other
hand, Dinh et al. [ 6 ] ensured that beyond volumes of 1 % the increase in shear
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