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Design of water tanks

Civil Engineering (B.E./B.Tech) · Structural analysis and design · free study notes for exams, placements and interviews

In short

A water tank is a liquid-retaining structure whose governing requirement is not strength but water-tightness — the section must not crack enough to leak, so steel stresses and crack widths are kept far below those allowed in ordinary RCC. Indian practice follows IS 3370 (Parts 1 to 4) for concrete liquid-retaining structures, with IS 456 for general RC design, IS 1893 (Part 2) for seismic design of liquid-retaining tanks and IS 11682 for RC staging of overhead tanks. The topic is a standing favourite in university RCC/Design-II papers (a full-marks question on a circular or rectangular tank, or an Intze tank) and appears in GATE Civil through hoop tension, dome forces and uplift checks. On the job it is core work for water-supply consultants, PHE/Jal Jeevan Mission projects, municipal corporations, L&T, Tata Projects, NCC, VA Tech Wabag and every ULB that builds an elevated service reservoir.

Explained

Types, parts and the code framework

Water-tightness: what the design actually controls

Tanks resting on ground

Circular tanks

Rectangular tanks (classified by L/B and H)

Underground tanks and sumps

Elevated tanks: the Intze principle and the staging

Loads, other materials and practice

Key points

Formulas and examples

Capacity of a circular tank: V = (π/4)·D²·H (D = internal diameter m, H = depth of water m, V in m³ = kilolitres)
Water pressure at depth h: p = γ·h (γ = 9.81 ≈ 10 kN/m³)
Hoop tension per metre height (free base): T = γ·h·D/2 = p·D/2 (kN/m)
Hoop steel: A_st = T/σ_st ; no-crack thickness check: σ_ct = T / [1000·t + (m−1)·A_st] (t mm, m = modular ratio = 280/(3σ_cbc))
Wall as cantilever fixed at base: M_max = γ·H³/6 ; shear V = γ·H²/2 (per metre width)
Circular tank, fixed base: M = coefficient × γ·H³, T = coefficient × γ·H·D/2 (IS 3370 Part 4, against H²/Dt)
Closed rectangular frame, uniform pressure p: fixed-end moments pL²/12 and pB²/12, distributed by stiffness 1/L : 1/B; mid-span M = pL²/8 − M_corner
Direct pull in a wall of a rectangular tank: long wall T = p·B/2, short wall T = p·L/2
Spherical dome (UDL w per m² of surface): radius R = (D/2)²/(2r) + r/2 ; cosθ = (R−r)/R
Meridional thrust T₁ = w·R/(1+cosθ) ; Hoop force T₂ = w·R·[cosθ − 1/(1+cosθ)]
Ring beam hoop tension from dome: F = T₁·cosθ·(D/2)
Flotation: uplift U = γw·A·d_w ; FoS = (W_walls + W_base + W_roof + W_soil on ledge)/U ≥ 1.2
Water-tightness test: permissible 7-day drop = min(H_avg/500, 10 mm)

Example 1 — Circular tank resting on ground, 200 kL, sliding base. Try D = 8 m, H = 4 m of water. V = 0.7854 × 8² × 4 = 201.1 m³ ✓ (provide 300 mm freeboard, wall height 4.3 m).

1 000·t = 160 000/1.5 − 8.33 × 1 131 = 106 667 − 9 421 = 97 246 → t = 97 mm.

Example 2 — Rectangular tank resting on ground, L = 6 m, B = 4 m, H = 3 m. L/B = 1.5 ≤ 2 → closed-frame action. Design the bottom 1 m as a cantilever; take the frame at 1 m above base, p = 10 × 2 = 20 kN/m².

Corner moment = 60 − 0.4 × 33.33 = 26.67 + 0.6 × 33.33 = 46.67 kN·m (hogging, tension on the outer face).

Mid-span, short wall: 20 × 16/8 − 46.67 = 40 − 46.67 = −6.67 kN·m (still hogging — provide the minimum on the water face).

A_st(bending) = 46.67 × 10⁶/(150 × 0.86 × 200) = 1 809 mm²/m; A_st(direct tension, short wall) = 60 000/150 = 400 mm²/m. Total ≈ 2 209 mm²/m → 16 mm @ 90 c/c on the outer face at the corner, with half the direct-tension steel carried on each face.

Example 3 — Top dome and top ring beam of a 12 m diameter Intze tank. D = 12 m, central rise r = 2 m, dome thickness 100 mm.

Example 4 — Flotation check on an underground sump. Internal 6 × 4 m, water depth 3 m, walls 250 mm, base 300 mm, roof 150 mm, water table at ground level, base soffit 3.45 m below it. External plan 6.5 × 4.5 = 29.25 m².

Example 5 — Water-tightness test acceptance. Tank of average water depth 4.0 m. Permissible 7-day drop = min(4 000/500, 10) = min(8, 10) = 8 mm. Measured drop 15 mm with 3 mm evaporation from the pan = net 12 mm > 8 mm → test fails; investigate joints and construction joints, grout/seal and retest.

FeatureCircular tankRectangular tank
Wall actionHoop tension (membrane)Bending + direct tension
Material efficiencyHigh — thinner wallsLower, corners need more steel
ShutteringCurved, costlierSimple, reusable
Leakage riskLow (no corners)At corners and joints
Typical useESR, large ground reservoirsSmall sumps, fire tanks, treatment units
CaseWall design action
Ground tank, sliding basePure hoop tension, nominal vertical steel
Ground tank, fixed baseReduced hoop + vertical moment (IS 3370 Part 4)
Underground, tank emptyEarth + water pressure inward, steel on the outer face (inner face at corners)
Underground, tank fullWater pressure outward, steel on water face

Where it is used

Interview questions

Common mistakes

Related topics

Reinforced concrete design (IS 456) · Design of RCC foundations · Prestressed concrete basics · Earthquake-resistant design · Structural analysis: determinate and indeterminate structures · Repair and rehabilitation of structures

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