Tuesday, November 5, 2013

Structural analysis for vertical concrete canal linings.

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.

1 comment:

  1. You can also assume if there is water inside the canal and there is no embankment in cases of side hills or vice - versa.

    ReplyDelete