Kod = [0.161 8.180.5 + 0.40 6.80..5
Vc = 0.68 0.66 14,882
+0.31 4.340.5 + 0.05 10.5
Vc = 6,679 cm3.
+0.039 10.5 + 0.04 6.90.5 ]
1
0.5
2. Volume of unhydrated cement:
Vuc = (Wc 0.34)/SG
Kod = 5.49.
Vuc = (14,882 0.34)/3.15
MORTAR
cm3.
Vuc = 1,606
The dielectric constant of mortar was derived
from the mixture proportions used in this study
3. Volume of capillary water:
and from the dielectric constants developed
Chemically bound water
above.
= 0.23 14,882 0.66 = 2,259 g
Mixture
Cement
25,878 g
Free water = 6,120 2,259 = 3,861 g
Sand
63,560 g
Water
10,397 g
Water held in gel pores
Air, %
1.05
= Vol. Hyd. cement 0.26 = 6,679
1. Volume of hydrated cement:
0.26 = 1,736 cm3
Vc = 0.68 δ Wc
Capillary water = 3,861 1,736 = 2,125 cm3.
Vc = 0.68 0.66 25,878
4. Volume fractions:
Vc = 11,614 cm3.
Volume
Volume
(cm3)
fraction
Component
2. Volume of unhydrated cement:
Hydrated cement
6,679
0.161
Vuc = (Wc 0.34)/SG
Coarse aggregate
16,583
0.40
Sand
13,037
0.31
Vuc = (25,878 0.34)/3.15
Capillary water
2,125
0.05
Air
1,655
0.039
Vuc = 2,793 cm3.
Unhydrated cement 1,606
0.04
TOTAL
41,685
1.000
3. Volume of capillary water:
5. The dielectric constant of water-saturated
Chemically bound water = 0.23
concrete (Kssd) is
25,878 0.66 = 3,928 g
Kssd = [Vc Kc .5 + Vca Kca5 + VsKs .5
0
0.
0
Free water = 10,397 3,928 = 6,469 g
+Vcw Kcw + Va Ka.5
0.5
0
Water held in gel pores = 11,614
+Vuc Ku.c5 ]
1
0
0.5
0.26 = 3,020 cm3
Kssd = [0.161 33.640.5 + 0.40 7.010.5
Capillary water = 6,469 3,020 = 3,449 cm3.
+0.31
+
0.05 800.5
4.710.5
4. Volume fractions:
1
]
0.5
+0.039 10.5
+
0.04 6.90.5
Volume
Volume
(cm3)
Component
fraction
Kssd = 10.61.
Hydrated cement
11,614
0.276
6. Its oven-dry dielectric (Kod) is
Sand
23,805
0.565
Capillary water
3,449
0.082
Kod = [Vc Kc .5 + Vca Kca5 + VsKs .5
0
0.
0
Air
442
0.0105
+Vcw Kcw + Va Ka.5 + Vuc Ku.c5 ]
Unhydrated cement
2,793
0.0665
1
0.5
0
0
0.5
TOTAL
42,103
1.000
12
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