Do the stability analysis for the section of the gravity dam shown below Under the overall load combination $($NLC $+$UL$.$C$)$ for reservoir full condition.

Consider aiso Downstream passive weige resistance

There is crack at a distance of Sm from the heel of the dam

$(14$M$)$

A$)$ Determine the Vertical normal stress, oz$,$ on horizontal planes at the heel and toe of the dam?

B$)$ Determine the Horizontal normal stress, or$,$ on vertical planes at the heel and toe of the dam?

C$)$ Deterine the principal & shear stresses at the heel and toe of the dam?

Given Data

Us water depth, H$=50$m$.$ Tail water depth, h$=$ tOm, Top width, w$=$Sm

Unit weight of concrete..$=24$KN$/$m$\text{'}$

Unit weight of water, y$-=10$KN$/$m

Unit weight or passive wedge, r $=10$KN$/$m$\text{'}$

Saturated unit weight of sediment Y$-$ISKN$/$m

Internal friction angle of sediment, $,30*$

Internal friction angle of concrete, $=40\backslash$deg

Internal friction angle of Wedge, Ov$20\backslash$deg Cohesion, C$=600$KN$/$m

Scdiment depth, h$,=7$m

Crack length from us $=8$m

Drainage position$=15$m

from the heel

Drainage Gallery at A

Upstream slope. Us $=0.$SH:IV

Downstream slope, d$/$s $=0.751$:$1$V

Drain is $65\%$ effective. $(100\%-$K

USACE uplift distribution with cracking not extending beyond drains