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F. K. Kong MA, MSc, PhD, CEng, FICE, FIStructE, R. H. Evans CBE, DSc, D ès Sc, DTech, PhD, CEng, FICE, FIMechE, FIStructE (auth.)-Reinforced and Prestressed Concrete-Springer US (1987)

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Shear resistance in design ca/cu/ations (BS 8110) 211

are defined as shear links that will provide a shear resistance of

0.4 ~/mm2, i.e.

A ( . l' k) 0.4 b"sv

sv 0110. 10 S ~ 0.87fyv (6.4-2)

where A sv is the area of the two legs of a link, fyv the characteristic

strength of the link (not to be taken as more than 460 ~/mm2) and

Sv the link spacing.

~ote the following link spacing requirements:

(1) In the direction of the span, the link spacing Sv should not exceed

0.75d.

(2) At right angles to the span, the horizontal spacing should be such

that no longitudinal tension bar is more than 150 mm from a

vertical leg of a link; this spacing should in any case not exceed d.

Step 4 0.5 Ve :S V :S (Ve + 0.4)

It V is between 0.5ve and (ve + 0.4), provide minimumlinks as defined by

eqn (6.4-2) for the whole length of the beam.

Step 5 (ve + 0.4) < V

It V exceeds Ve + 0.4, provide links as follows:

A > (v - ve) b"sv

sv -- 0.87fyv

(6.4-3)

where the symbols have the same meanings as in eqn (6.4-2). The link

spacing requirements listed under eqn (6.4-2) apply equally to eqn

(6.4-3) here.

For the use of bent-up bars see 'Comments on Step 5' at the end.

Step 6 Anchorage of links

BS 8110: Clause 3.12.8.6 lists the following requirements on the

anchorage of links:

(a)

A link should pass round another bar of at least its own size,

through an angle of 90°, and continue for a length of at least eight

times its own size; or

(b) It should pass round another bar of at least its own size, through an

angle of 180°, and continue for a length of at least four times its

own size.

Comments on Step 1

See eqn (6.2-1).

Comments on Step 2

BS 8110's limits of 0.8y'feu and 5 N/mm2 are essentially the values

assigned to the ultimate shear stress V u of eqn (6.3-11), discussed earlier in

Section 6.3. The limits 0.8y'feu and 5 ~/mm2 already include an allowance

for the partial safety factor Yrn of 1.25.

Comments on Step 3

(a) Longitudinal bars are customarily curtailed when they cease to be

required to resist bending moment. It has been pointed out that such

curtailment creates stress complications which may substantially

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