Assumptions:
1. No water inside the canal and the embankment outside
is up to the top bank of the canal.
2. Soil is saturated.
Procedure of analysis:
1. Compute for pressure at canal bottom using the formula:
(1-sin(A))
Ph = ----------- x SoilWeight x CanalHeight
(1+sin(A))
A = Angle of internal friction of soil
2. Compute for total shear on the wall:
Ph x Canalheight
Vh = ----------------
2
3. Compute for Moment @ Canal bottom
Vh x CanalHeight
Mh = ------------------
3
4. Compute for total Weight of Canal per 1-m strip (Wcanal).
5. Compute for soil bearing pressure assuming soil bearing
capacity is sufficient.
Wcanal
Pb = ---------------------
Canal Gross Width (W)
6. Compute for weight of canal flooring (Wslab)
Wslab = 2,400 x FloorThickness(t1)
7. Compute for uplift due to water pressure.
Wuplift = 1,000 x (CanalHeight + t1)
8. Net upward force acting on the canal bottom
Pv = Pb - Wslab + Wuplift
9. Compute for shear at slab support
Pv x CanalBase
Vv = --------------
2
10. Compute for Moment at Support
Pv x CanalBase^2
MvNeg = ----------------
12
11. Compute for Moment at Midspan
Pv x CanalBase^2
MvPos = ------------------
24
12. Using these moments, you can now compute for the
required steel reinforcements then compute
the required spacings.
M
As = -------
fs x j x d
* Assuming d is half of the member thickness or depending on your
decision whether where to put the reinforcements.
You can also assume if there is water inside the canal and there is no embankment in cases of side hills or vice - versa.
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