Hydraulic Structures: Fourth Edition

(Amelia) #1
A schematic illustration of the internal variation of these stresses on the
basis of gravity method analysis is provided in Figs 3.7(a)–3.7(e). The com-
parison between Figs 3.7(a) and 3.7(f ) will be noted.
Uplift load is excluded from the equations for stress determination
set out in this section. It can, if necessary, be accounted for by superposi-
tion of local uplift pressures onto calculated stresses (Zienkiewicz, 1963;
Moffat, 1976). In practice the influence of internal uplift upon stress pat-
terns is generally disregarded other than in relation to possible horizontal
cracking (Section 3.2.5).

(a) Vertical normal stresses
Vertical normal stresses on any horizontal plane are determined by appli-
cation of the equation for cantilever action under combined axial and
bending load with suitable modifications, i.e.

z


A


V


h




∑M


I


*y
 (3.31)

144 CONCRETE DAM ENGINEERING


Fig. 3.7 Internal stress distribution: gravity method analysis (after USBR,
1976)
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