Experimental Tests to Study the Influence on the Shear Behavior of Fibers of Different Characteristics - On Shear Behavior of Structural Elements Made of Steel Fiber Reinforced Concrete - page 114

Fig. 6.12 V test - f Rm response; f Rm =(f R1 + f R3 )/2

V fu ¼ k f 0 : 7 n 0 : 18 f R3 b d V su

with : k f ¼ 1 : 13 ; n ¼ 1 : 81 ; b ¼ 90 mm for all beams

k f 0 : 7 n 0 : 18 f R3 ¼ s ¼ 0 : 26 f R3

6@200 mm − 1 For the particular case of beam V18 (M- ϕ 6), with ϕ leg:

0 : 26 f R3 b d V su ¼ 23511 ð N Þ

23511
b d ¼

23511N
90 mm 307

0 : 26 f R3 ¼

98 mm ¼ 0

: 85

:

values for all the beams with stirrups are reported in Table 6.4 .
In Fig. 6.11 a linear tendency was observed. In Fig. 6.12 , the same tendency was
analyzed but using an average residual

Equivalent τ

exure tensile strength f Rm =(f R1 + f R3 )/2
instead of f R3 , and a better correlation was obtained for medium strength concretes
(see continuous green line). This linear dependency was found with no in

fl

fl uence of

Table 6.4 Equivalent ˄ -values for all the beams with stirrups
Reference Beam ID d (mm) Transverse reinforcement V su (N) ˄ =V su /b · d

ϕ 8@150 mm − 1 V11 M- ϕ 8 307.98 leg 55,730 2.010592

8@150 mm − 1

V17 H- ϕ 8 307.98 ϕ leg 55,730 2.010592

6@200 mm − 1 V18 M- ϕ 6 307.98 ϕ leg 23,511 0.848215

ϕ 6@200 mm − 1

H- ϕ 6

V19 297.98 leg 22,748 0.848230

6@200 mm − 1 V20 L- ϕ 6 297.98 ϕ leg 22,748 0.848230