Design Procedure for circular tanks Computations

Design Procedure for circular tanks Computations

1. Minimum wall thickness

2. Circumferential Prestress

3. Vertical Prestress.

Estimate

1)    Maximum, ring tension Nd

2)     Bending Moment Mw

3)     Minimum wall thickness = Nd/?fct - fmin.w  

- Minimum cover 35mm

4)    Circumferential Prestress

5)    Spacing of wires

As = Cross sectional area of wire coinding, mm²

Wt = average radial Pressure of wires at transfer at a given section N/mm²

D = Diameter of the tank, mm

S = Spacing of wires at the given section mm

fs - Stress in wires at transfer, N/mm²

t - Thickness of the tank wall, mm

fc - compressive stress in concrete, N/mm²

Hoop compression due toprestressing = wt . D / 2

Equating

wt. D/2 = fs As/S1

Wt = 2 fs As / sD

Nd - hoop tension due to hydrostatic working pressure, Ww

Nt - hoop compression due to radial pressure of wires, wt

Then Nt = Nd (wt/Ww)

Also Nt = t fc

Spacing of the wire winding

S = (2 Nd/ Ww)  . ( fs./fc )  .( As/Dt)  mm

Mt = Mw (wt /Ww)

Where Mt = Vertical moment due to the prestress at transfer.

Mw = Vertical moment due to hydrostatic pressure.

The compressive prestress required

Fc =(  fmin. W / ? ) +  ( Mw/ ?z)

When the tank is empty

Fc =(  fmin. W / ? ) +  ( Mw/Z)

Vertical prestressing force is required

P = fc. Ac

(Note: Vertical Prestressing force = 30% of hoop compression.]

1.     A cylindrical prestressed concrete water tank of internal diameter 30m is required to store water over a depth of 7.5m. The permissible compressive stress in concrete at transfer is 13 and the minimum compressive stress under working presuure is 1 N/mm². . The loss ratio is 0.75. Wires of 5mm diameter with an initial stress of 1000N/mm²  are available for circumferential winding and freyssinet cables made up of 12 wires of 8mm diameter stressed to 1200N/mm² are to be used for vertical prestressing. Design the tank walls assuming the base as fixed. The cube strength of concrete is 40N/mm².