Civil Engineering Reference
In-Depth Information
Table 8.19
Factors and dependent variable analyzed in the ANOVA analysis of Brite Series 2
Factors (independent variables)
f
r3
(MPa): 1.35, 4.13
ρ
l
(%): 1.16, 1.81
Codes: EHE08, MC2010, RILEM
Dependent variable Shear safety margin (SM)
The ANOVA table (Table
8.20
) decomposes the variability of safety margin on
shear (SM) in contributions due to several factors. Since six p-values are less than
0.05, these factors have a statistically signi
cant shear on SM on a 95.0 % con
-
dence level.
By means of LSD intervals (Fig.
8.24
), in this Series 2, it can be observed that
there are signi
cant differences in SM between both levels of f
R3
and
ρ
l
. In this case,
Codes are more conservative for small f
R3
and when
ρ
l
increases. There are also
differences with different design Codes. In this case, the MC2010 is the safest while
RILEM is the closest to the experimental results.
As it was seen in the ANOVA (Table
8.20
), in this Series all interactions were
statistically signi
cant. By means of surface charts (Figs.
8.25
,
8.26
and
8.27
), it is
possible to evaluate the in
fl
uence of the interactions on the shear SM.
8.7.4 Brite Series 3
In this subsection, the Series 3 of the Subtask 4.2
—
Trial Beams in Shear of Brite-
Euram project [
5
] are analyzed. This Serie 3 was carried out in the Universitat
Polit
è
cnica de Catalunya (UPC) by Gettu R., Barrag
á
n B. E., Mart
í
n M.A., Ramos
G. and Burnett I.
Two different analyses have been done related to this Series 3.
Table 8.20
Analysis of variance (ANOVA) for SM on shear
—
type III sums of squares (Series 2)
Source of variation
Sum of Squares
d.f
Mean square
F-ratio
p-value
Main effects
A: f
R3
(MPa)
0.00100833
1
0.00100833
30.25
0.0315
B:
ρ
(%)
0.0954083
1
0.0954083
2862.25
0.0003
C: Code
0.00506667
2
0.00253333
76.00
0.0130
Interactions
AB
0.00140833
1
0.00140833
42.25
0.0229
AC
0.00826667
2
0.00413333
124.00
0.0080
BC
0.00166667
2
0.000833333
25.00
0.0385
Residual
0.0000666667
2
0.0000333333
Total (corrected) 0.112892 11
All F-ratios are based on the residual mean square error
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