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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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368 Prestressed concrete simple beams

StepS

Ve = Yeo of Step 2 (since Yeo < Ver)

= 448 kN

0.8Heu = 0.8~50 = 5.66 N/mm 2 > 5 N/mm 2

Hence the upper limit on VI bvd is 5 N/mm 2 •

Actual Vlbvd (see Step 1: Case 2)

Step6

- (400)(10 3 ) - 2

- (200)(790) - 2.53 N/mm OK

V = 400 kN (Step 1: Case 2)

Ve = 448 kN

Hence Vis not less than 0.5Ve. Move to Step 7.

Step7

By inspection,

V > 0.5Ve but < (Ve + 0.4bvd)

From eqn (9.6-5),

Asv (0.4)(200)

s; = (0.87)(250)

= 0.37 mm

From Table 6.4-2,

Provide size 10 links at 300 mm centres (Asvlsv = 0.52)

For further reading on shear in prestressed concrete, the reader is referred

to References 1-3 and 8-13.

9. 7 The ultimate limit state: torsion (BS 8110)

The torsional resistance of a prestressed concrete member is significantly

higher than that of the corresponding reinforced concrete member [1-3].

However, BS 8110 is cautious; it recommends that the same procedure as

explained here in Section 6.11 for ordinary reinforced concrete members

should be used for the torsion design of prestressed members.

The effect of prestressing on the torsional behaviour of concrete

members, both under service condition and ultimate-load condition, is

explained on pp. 57-65 of Reference 2, which also includes comments on

design procedure.

9.8 Short-term and long-term deflections

In Chapter 5 it was pointed out that, in assessing the deflections of

reinforced concrete beams, an efficient and general method was to work

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