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Steel Designers Manual - TheBestFriend.org

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This material is copyright - all rights reserved. Reproduced under licence from The <strong>Steel</strong> Construction Institute on 12/2/2007<br />

To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.<strong>org</strong>/<br />

<strong>Steel</strong> <strong>Designers</strong>' <strong>Manual</strong> - 6th Edition (2003)<br />

622 Composite beams<br />

25 mm or 1.250.<br />

minimum<br />

dimensions<br />

unless stated<br />

Fig. 21.15 Geometric limits on location of shear-connectors<br />

21.7.6 Longitudinal shear transfer<br />

100 mm<br />

II 1<br />

• looped<br />

bars<br />

: slab<br />

In order to transfer the thrust from the shear-connectors into the slab, without splitting,<br />

the strength of the slab in longitudinal shear should be checked. The strength<br />

is further influenced by the presence of pre-existing cracks along the beam as a<br />

result of the bending of the slab over the beam support.<br />

The design recommendations used to check the resistance of the slab to longitudinal<br />

shear are based on research into the behaviour of reinforced concrete slabs.<br />

The design longitudinal shear stress which can be transferred is taken as 0.9 N/mm2 for normal weight and 0.7 N/mm2 for lightweight concrete; this strength is relatively<br />

insensitive to the grade of concrete. 11<br />

It is first necessary to establish potential planes of longitudinal shear failure<br />

around the shear-connectors. Typical cases are shown in Fig. 21.16. The top reinforcement<br />

is assumed to develop its full tensile resistance, and is resisted by an equal<br />

and opposite compressive force close to the base of the shear-connector. Both top<br />

and bottom reinforcement play an important role in preventing splitting of the<br />

concrete.<br />

The shear resistance per unit length of the beam which is equated to the shear<br />

force transferred through each shear plane (in the case of normal weight concrete)<br />

is:<br />

V = 0.9Ls + 0.7Arfy £ 0.15 Lsfcu<br />

(21.16)<br />

where Ls is the length of each shear plane considered on a typical cross-section,<br />

which may be taken as the mean slab depth in Fig. 21.16(a) or the minimum depth<br />

in Fig. 21.16(b). The total area of reinforcement (per unit length) crossing the shear<br />

plane is Ar. For an internal beam, the slab shear resistance is therefore 2V.<br />

The effect of the decking in resisting longitudinal shear is considerable. Where<br />

edge

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