# Details of Concrete Edge Restraint

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Tensile stresses may occur when the movement (expansion and/or contraction) is restrained inside a young concrete constituent. As a result, cracking is inevitable. This restrained to movement is generally defined as restraint.

Restraints are categorized as internal or external to the constituent. Due to dissimilar temperature variations inside a mass **concrete element**, the internal restraints take place and it can lead to surface and/or internal cracking. Although, it is only applicable to very thick sections (1000 mm or more).

External restraints occur because of the support/casting condition of the concrete. The external restraints are categorized as follow :

(1) End restraints

(2) Edge restraints

**End restraint**: End restraints happen if the edges of a young concrete are obstructed from movement. It is normally found in suspended slab cast among rigid cores, walls or columns, in infill bays, ground slab cast on piles, large area ground slabs restrained locally, e.g. by piles, columns or **column foundations** or by the formation of friction, walls cast against secant, contiguous concrete or steel sheet piled walls etc (CIRIA C660).

**Edge restraint**: It usually happens where the young concrete section (suppose a wall) is cast on a solidified concrete base i.e. the restriction remains only in one direction, and the interaction exists among the old and new **concrete** with regards to distribution of cracks. There is difference between edge restraint and end restraint since the crack width belongs to a function of restrained strain instead of the tensile capacity of the concrete.

Sometimes, there is combination of end restraint and edge restraint.

**Restraint Factors**: The level of restraint in a young concrete caused by adjacent element is usually defined with restraint factors.

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The degree of restraint, R, is normally taken as the ratio among the actual stress in a contracting body and the stress introduced under full restraint.

Degree of restraint R = Actual imposed stress / Imposed stress at full restraint

It is complicated to find out the degree of restraint appropriately, but it is essential to find restraint factors which are perfect as much as possible. In accordance with CIRIA C660, the restraint factors introduced by BS 8110-2 and HA BD 28/87 reveals perfect restraint values, whereas the restraint factors from BS 8007 and EN 1992-3 contains a modification factor of 0.5 to take into account creep under sustained loading.

ACI (1990) (cited by CIRIA C660) developed method for computing the edge restraint on the basis of the pertinent geometry and stiffness of the old and new **concrete**. The equation is provided as follow;

Restraint at the joint Rj = 1/(1 + AnEn/AoEo)

Here;

An denotes Cross-sectional area of the new (restrained) pour.

Ao denotes the cross-sectional area of the old concrete.

En denotes the modulus of elasticity of the new pour concrete.

Eo denotes the modulus of elasticity of the old concrete.

However, CIRIA C660 defines that the relative areas of influence of Ao and An can't be explained easily. So, the following simple rules should be followed;

I. For a wall cast at the edge of a slab (An/Ao) = (hn/ho) (thickness of new concrete/thickness of old concrete).

II. For wall cast remote from the edge of the slab (An/Ao) = (hn/2ho).

III. En/Eo ranges from 0.7 to 0.8 (but 0.8 is recommended).

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