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Aqueduct: excavation, concrete, brick, RCC

Short answer

Using length x breadth x depth on assumed dimensions, quantities are Earthwork excavation 40.50 m3, cement concrete 1:3:6 5.76 m3, brickwork 1:6 22.50 m3, and RCC trough 7.13 m3. Substitute actual drawing dimensions in the same format; reinforcement is taken separately.

Estimate the quantities of the following items of work from the accompanying drawing. (Aqueduct) a) Earthwork in excavation b) Cement concrete in foundation c) Brick work d) RCC work [Drawing not included in the scanned paper]

A drawing is not given, so the method is shown on an assumed small aqueduct: a single-span RCC trough carrying an irrigation canal over a drain, resting on two brick abutments with four wing walls. All quantities are by the centre-line / length × breadth × depth method.

Assumed data

  • Trough: clear span 6.0 m, bearing 0.3 m each end (length 6.6 m), internal width 2.0 m, depth 1.2 m, walls 0.20 m, bottom slab 0.25 m, so outside width 2.4 m.
  • Abutments (2 nos.): length 3.4 m, thickness 0.9 m, height 2.5 m above PCC, in 1:6 brickwork; PCC 1:3:6 bed 4.0 m × 1.5 m × 0.30 m.
  • Wing walls (4 nos.): 2.0 m long, mean thickness 0.45 m, mean height 2.0 m; PCC 2.0 m × 0.9 m × 0.30 m.
  • Abutment pit depth 1.5 m with 0.3 m working space on each side; wing-wall trench 1.2 m wide, 1.2 m deep.

a) Earthwork in excavation

ItemNo.L (m)B (m)H/D (m)Qty (m³)
Abutment pits (2 nos., working space 0.3 m)24.6002.1001.50028.980
Wing-wall trenches (4 nos.)42.0001.2001.20011.520
Total40.500

b) Cement concrete in foundation (1:3:6)

ItemNo.L (m)B (m)H/D (m)Qty (m³)
Abutment PCC 1:3:6, 0.30 m thick24.0001.5000.3003.600
Wing-wall PCC 1:3:642.0000.9000.3002.160
Total5.760

c) Brick work (1:6 cement sand mortar)

ItemNo.L (m)B (m)H/D (m)Qty (m³)
Abutment wall, 1:6 brick23.4000.9002.50015.300
Wing walls (mean thickness 0.45, mean height 2.0)42.0000.4502.0007.200
Total22.500

d) RCC work (trough, M20)

ItemNo.L (m)B (m)H/D (m)Qty (m³)
Trough bottom slab16.6002.4000.2503.960
Trough side walls26.6000.2001.2003.168
Total7.128

Reinforcement is then taken separately (about 80–100 kg per m³ of trough concrete as a check).

Answer: Excavation = 40.50 m³; PCC = 5.76 m³; brickwork = 22.50 m³; RCC = 7.13 m³ (for the assumed dimensions; substitute the dimensions of the actual drawing in the same format).

Quantities are taken in the usual order: length × breadth × height/depth, in cubic metres (m³) or square metres (m²), with deductions entered as negatives. Rates are not asked; when costing, apply the current District Rate and DUDBC rate-analysis norms of the district.

✓ Answer checked by Claude Opus 5.5 (high effort)

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