Civil Engineering Reference
In-Depth Information
Table 8.27 Constant variables between the beams within the same series (size effect beams)
Constant variables
Cross-section shape: Rectangular reinforced (no prestressed) beams
No stirrups
3 point test
a/d = 3.0
Type of bers: La Gramigna
©
l f /d f = 62.5; l f =50mm
b w = 250 mm
ρ l (%) = 1.12
Compressive strength level assumed constant:
38.65 MPa for PC; 32.07 MPa for FRC50; 33.08 MPa for FRC75
Table 8.28 Factors and dependent variable analyzed in the ANOVA analysis of size effect beams
Factors (independent variables)
d (mm): 440, 940, 1,440
f R3 (MPa): 0, 5.00, 6.00
Codes: EHE08, MC2010, RILEM
Dependent variable
Shear safety margin (SM)
Table 8.29 Analysis of variance (ANOVA) for SM on shear
type III sum of squares (size effect)
Source of variation
Sum of Squares
d.f
Mean square
F-ratio
p-value
Main effects
A: d (mm)
0.0000
0.313956
2
0.156978
409.51
B: f R3 (MPa)
0.00682222
2
0.00341111
8.90
0.0092
C: Code
0.153356
2
0.0766778
200.03
0.0000
Interactions
AB
0.141889
4
0.0354722
92.54
0.0000
AC
0.00142222
4
0.000355556
0.93
0.4939
BC
0.00988889
4
0.00247222
6.45
0.0127
Residual
0.00306667
8
0.000383333
Total (corrected) 0.6304 26
All F-ratios are based on the residual mean square error
between concrete without
cant differ-
ences between the different, but MC2010 is, in this case, the safest Code.
As was seen in the ANOVA table (Table 8.29 ), in this Series two interactions
were statistically signi
bers and with f R3 = 5 MPa. There are signi
cant: d with f R3 (AB), and f R3 with Code (BC). By means of
surface charts (Figs. 8.31 , 8.32 and 8.33 ), it is possible to evaluate the in
fl
uence of
the interactions on the shear SM.
 
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