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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

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