Lightweight Concrete for High Strength - Expanded Shale & Clay
Lightweight Concrete for High Strength - Expanded Shale & Clay
Lightweight Concrete for High Strength - Expanded Shale & Clay
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where<br />
ε<br />
sh ∞<br />
⎧ 510 µε <strong>for</strong> steam<br />
- cured concrete<br />
= ⎨<br />
⎩560<br />
µε <strong>for</strong> moist - cured concrete<br />
; ultimate shrinkage strain<br />
until ⎧ ⎡<br />
⎤⎫<br />
day n<br />
⎪ ⎢ 4000<br />
⎥⎪<br />
t = ∑ ∆ti<br />
⋅ exp⎨−<br />
⎢<br />
−13.<br />
65⎥⎬<br />
; maturity of concrete (days) after “n” days<br />
⎪<br />
T ( ∆t<br />
)<br />
⎢273<br />
+<br />
i<br />
⎥⎪<br />
⎩ ⎣<br />
T 0 ⎦⎭<br />
until<br />
beginning<br />
drying<br />
⎧ ⎡<br />
⎤⎫<br />
⎪ ⎢ 4000<br />
⎥⎪<br />
t0<br />
= ∑ ∆ti<br />
⋅ exp⎨−<br />
⎢<br />
−13.<br />
65⎥⎬<br />
; maturity of concrete at the beginning of drying<br />
⎪<br />
T ( ∆t<br />
)<br />
⎢273<br />
+<br />
i<br />
⎥⎪<br />
⎩ ⎣<br />
T0<br />
⎦⎭<br />
(days)<br />
∆t i : period of time (days) at temperature T(∆t i ) ( o o<br />
o<br />
C) ( C = 0.556×<br />
F −17.<br />
778)<br />
T 0 : 1 o C<br />
k vs<br />
⎡<br />
⎢<br />
⎢<br />
26 ⋅ exp 0.36<br />
=<br />
⎢<br />
⎢<br />
⎢ 45<br />
⎣<br />
( t − t )<br />
0<br />
{ ⋅V<br />
} + ( t − t0<br />
)<br />
S<br />
( t − t0<br />
)<br />
+ ( t − t )<br />
0<br />
⎤<br />
⎥ ⎡<br />
⎤<br />
⎥<br />
1064 − 0.94 ⋅V<br />
⋅ ⎢<br />
S ⎥<br />
⎥<br />
; size factor<br />
⎢ 923 ⎥<br />
⎥ ⎣<br />
⎦<br />
⎥⎦<br />
k H<br />
⎧2.00<br />
−1.43⋅<br />
h<br />
= ⎨<br />
⎩4.29<br />
− 4.29 ⋅ h<br />
<strong>for</strong> h < 0.80<br />
; ambient relative humidity factor<br />
<strong>for</strong> h ≥ 0.80<br />
h: relative humidity in decimals<br />
⎧ 4.2 ⎫<br />
kt<br />
= 0.67 ⋅ exp⎨<br />
⎬; factor <strong>for</strong> maturity at the beginning of drying<br />
0<br />
⎩9.45<br />
+ to<br />
⎭<br />
f: 23 (days)<br />
B-11