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Lightweight Concrete for High Strength - Expanded Shale & Clay

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t′: age of concrete at loading (days)<br />

ψ: constant depending on member shape and size<br />

d: constant depending on member shape and size<br />

ø u : ultimate creep coefficient<br />

ACI-209 recommended a value of 0.6 and 10 <strong>for</strong> ψ and d, respectively. Ultimate creep<br />

coefficient value depends on the factors are described in Equation B.2. ACI proposed an average<br />

creep coefficient value of 2.35 which is multiplied by six factors depending on particular<br />

conditions, as shown in Equation B.2<br />

φu = 2 . 35⋅γ<br />

la<br />

⋅γ<br />

λ<br />

⋅γ<br />

vs<br />

⋅γ<br />

s<br />

⋅γ<br />

ψ<br />

⋅γ<br />

α<br />

(B.2)<br />

where<br />

ø u : ultimate creep coefficient<br />

−0.118<br />

⎧1.25<br />

⋅ t'<br />

<strong>for</strong> moist curing<br />

γ<br />

la<br />

= ⎨<br />

; age of loading factor<br />

−0.<br />

094<br />

⎩1.13⋅<br />

t'<br />

<strong>for</strong> steam curing<br />

t′: age of concrete at loading (days)<br />

⎧1.27<br />

− 0.67 ⋅ h <strong>for</strong> h ≥ 0.40<br />

γ<br />

λ<br />

= ⎨<br />

; ambient relative humidity factor<br />

⎩ 1.00 otherwise<br />

h: relative humidity in decimals<br />

( 1+<br />

1.13⋅<br />

exp{ − 0. })<br />

2<br />

γ<br />

VS<br />

= 54 ⋅ V<br />

3<br />

S<br />

V: specimen volume (in 3 )<br />

S: specimen surface area (in 2 )<br />

γ = 0.82 + 0. 067 ⋅ s ; slump factor<br />

s<br />

s: slump (in)<br />

; volume-to-surface ratio factor<br />

λ ψ<br />

= 0 .88 + 0. 24 ⋅ψ ; fine aggregate content factor<br />

ψ: fine aggregate-to-total aggregate ratio in decimals<br />

γ α<br />

= 0 .46 + 0. 09 ⋅α ; air content factor<br />

α: air content (%)<br />

After applying the factors above, ultimate creep coefficient value is usually between 1.3 and<br />

4.15, which means that creep strain is between 1.3 and 4.15 times the initial elastic strain.<br />

B-5

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