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)

Problems 151
effects of torsion have been ignored. It is reasonable to assume that the
slab (see Fig. 4.11-1(a)) is supported by at least one other beam on the
left-hand side. Hence there is only compatibility torsion, and this need not
be explicitly considered in design, as explained later in Section 6. 7.
After reading Section 6.6, it will become clear that explicit calculations
for local bond and anchorage are not required for this particular case.
Example 6.6-1 shows calculations for anchorage.
As explained under the heading 'Minimum areas of tension reinforcement'
in Section 4.10, BS 8110 requires transverse reinforcement across the
full effective width of the flange, as illustrated in Fig. 4.11-3. The area of
this reinforcement should not be less than
0.0015 x 175 x 1000 = 265 mm 2 per metre run
Thus, 10 mm bars at 150 mm centres (523 mm 2 per metre run; see Table
A2-2) will be satisfactory. Note that such transverse reinforcement bars
have not been shown in Fig. 4.11-2; conventionally they are detailed with
the slab, as explained in Comment (d) at the end of Example 3.6-3.
/ Transveru reinforcement
: 11
I I
I I
I I
I 1
b __ Q. _d
Fig. 4.11-3
4.12 Computer programs
(in collaboration with Dr H. H. A. Wong, University of Newcastle upon
Tyne)
The FORTRAN programs for this chapter are listed in Section 12.4. See
also Section 12.1 for 'Notes on the computer programs'.
Problems
4.1 Derive expressions for the shaded areas of the figures below and the
locations of their centroids C.
Ans. (a) Area = 2x0x 113; Xc = 5x 0/8.
(b) Area = Xox 113; Xc = xo/4.
4.2 Using the properties of the parabola obtained in Problem 4.1, derive
eqns (4.4-3) and (4.4-4).