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Structural Concrete - Hassoun

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2.12 Creep 25<br />

3. Type, Amount, and Gradation of Aggregate. The smaller the size of aggregate particles, the<br />

greater the shrinkage. The greater the aggregate content, the smaller the shrinkage [7].<br />

4. Ambient Conditions, Moisture, and Temperature. <strong>Concrete</strong> specimens subjected to moist conditions<br />

undergo an expansion of 200 to 300 × 10 −6 , but if they are left to dry in air, they shrink.<br />

High temperature speeds the evaporation of water and, consequently, increases shrinkage.<br />

5. Admixtures. Admixtures that increase the water requirement of concrete increase the shrinkage<br />

value.<br />

6. Size and Shape of Specimen. As shrinkage takes place in a reinforced concrete member, tension<br />

stresses develop in the concrete, and equal compressive stresses develop in the steel.<br />

These stresses are added to those developed by the loading action. Therefore, cracks may<br />

develop in concrete when a high percentage of steel is used. Proper distribution of reinforcement,<br />

by producing better distribution of tensile stresses in concrete, can reduce differential<br />

internal stresses.<br />

The values of final shrinkage for ordinary concrete vary between 200 and 700 × 10 −6 .For<br />

normal-weight concrete, a value of 300 × 10 −6 may be used. The British Code [8] gives a value of<br />

500 × 10 −6 , which represents an unrestrained shrinkage of 1.5 mm in a 3-m length of thin, plain<br />

concrete sections. If the member is restrained, a tensile stress of about 10 N/mm 2 (1400 psi) arises.<br />

If concrete is kept moist for a certain period after setting, shrinkage is reduced; therefore, it is<br />

important to cure the concrete for a period of no fewer than 7 days.<br />

Exposure of concrete to wind increases the shrinkage rate on the upwind side. Shrinkage<br />

causes an increase in the deflection of structural members, which in turn increases with time.<br />

Symmetrical reinforcement in the concrete section may prevent curvature and deflection due to<br />

shrinkage.<br />

Generally, concrete shrinks at a high rate during the initial period of hardening, but at later<br />

stages the rate diminishes gradually. It can be said that 15 to 30% of the shrinkage value occurs in<br />

2 weeks, 40 to 80% occurs in 1 month, and 70 to 85% occurs in 1 year.<br />

2.11.2 Expansion Due to Rise in Temperature<br />

<strong>Concrete</strong> expands with increasing temperature and contracts with decreasing temperature. The<br />

coefficient of thermal expansion of concrete varies between 4 and 7 × 10 −6 per degree Fahrenheit.<br />

An average value of 5.5 × 10 −6 per degree Fahrenheit (12 × 10 −6 per degree Celsius) can be<br />

used for ordinary concrete. The British Standard Institution [8] suggests a value of 10 −5 per degree<br />

Celsius. This value represents a change of length of 10 mm in a 30-m member subjected to a change<br />

in temperature of 33 ∘ C. If the member is restrained and unreinforced, a stress of about 7 N/mm 2<br />

(1000 psi) may develop.<br />

In long reinforced concrete structures, expansion joints must be provided at lengths of 100 to<br />

200 ft (30 to 60 m). The width of the expansion joint is about 1 in. (25 mm). <strong>Concrete</strong> is not a good<br />

conductor of heat, whereas steel is a good one. The ability of concrete to carry load is not much<br />

affected by temperature.<br />

2.12 CREEP<br />

<strong>Concrete</strong> is an elastoplastic material, and beginning with small stresses, plastic strains develop<br />

in addition to elastic ones. Under sustained load, plastic deformation continues to develop over a<br />

period that may last for years. Such deformation increases at a high rate during the first 4 months<br />

after application of the load. This slow plastic deformation under constant stress is called creep.

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