Yahya Ghasemi Print III pdf

NOTATIONS
Greek
Į
i
Actual packing density of class i [-]
Į
agg
Packing density of aggregates [-]
Į
k
Į
t
Steepness of Kp function [-]
Calculated packing density [-]
ȕ
i
Virtual packing density of class size i [-]
ȕ
j
Virtual packing density of class size i [-]
ȕ
ti
Calculated virtual packing of a mixture size i being dominant [-]
Ȝ
Q
ȡ
Flow resistance ratio [-]
Density [kg/m
3
]
ȡ
b
Bulk density [kg/m
3
]
ȡ
s
Relative density [kg/m
3
]
Roman
a
Polyhedron edge length [mm]
a
c
Circumsphered edge length [mm]
a
ij
Coefficient presenting the loosening effect [-]
a
m
Midsphered edge length [mm]
a
sph
Spherical specific surface area [cm
2
/cm
3
][cm
2
/Kg]
A
p
Specific surface area of particles [cm
2
/cm
3
][cm
2
/Kg]
b
ij
Coefficient presenting the wall effect [-]
d
i
Diameter of dominant particle size class i [mm]
d
i,arith
Arithmetic mean of fractions i and i+1 [mm]
d
i,geo
Geometric mean of fractions i and i+1 [mm]

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viii 
d
న
ഥ
Mean diameter of fractions i and i+1 [mm]
d
j
Diameter of dominant particle size class j [mm]
D
Diameter of particles [mm]
D
max
Maximum particle size of the aggregate in the mix [mm]
D
min
Minimum particle size of the aggregate in the mix [mm]
e
F
i
Fm
p
Fm
s
F
p
F
t
Hm
Hp
Hs
Void content [-]
Accumulated flow of an ideal fluid through FlowCyl [m
3
/s]
Fineness modulus for the coarse aggregate [-]
Fineness modulus for the sand [-]
Volume fraction of fluid phase of concrete [-]
Accumulated flow of test material through FlowCyl [m
3
/s]
The air void modulus [-]
Air void ratio in the coarse aggregate [-]
Air void ratio in the sand [-]
k
d
Factor that relates the packing density to the diameter ratio of particle classes [-]
k
s
Factor that deals with the placement of particles in relation to each other [-]
K
Compaction index [-]
m
i
Mass percentage of the fraction between d
i
and d
i+1 
[Kg/Kg]
m
p
Mass of all particles in a mixture [Kg]
M
s
Mass of the solid [Kg]
p
Porosity [-]
P(D)
Fraction that pass the sieve with opening D [-]
r
Median radius of equivalent sphere [mm]
SSA
i
Specific surface area of particles in fraction i [cm
2
/cm
3
][cm
2
/Kg]
t
ep
7KLFNQHVVRIH[FHVVSDVWHOD\HU>ȝP@

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ix 
t
ew
7KLFNQHVVRIH[FHVVSDVWHOD\HU>ȝP@
Tp
Ts
V
agg
V
co
Aggregate parameter of the coarse aggregate [-]
Aggregate parameter of the sand [-]
Volume of aggregates [m
3
]
Volume fraction of coarse aggregate [-]
V
cp
Volume of cement paste [m
3
]
V
ep
Volume of excess paste [m
3
]
V
ew
Volume of excess water [m
3
]
V
i
Volume of fraction i [m
3
]
V
p
Volume of internal pores [m
3
]
V
s
V
sa
Volume of the solid [m
3
]
Volume fraction of sand in the aggregate [-]
V
t
Total volume of the solid [m
3
]
V
v
Volume of the external granular voids [m
3
]
V
w
Volume of water in a mixture[m
3
]
y
i
Volume fraction of size class i [-]
y
j
Volume fraction of size class j [-]