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Underground RCC tank: brickwork, steel (fig a)

Short answer

Brickwork in 1:4 mortar = 2.780 m³. Steel in top RCC cover slab: 10 mm bars at 15 cm c/c both ways, with hooks and alternatte cranked bars, total weight = 33.3 kg.

Calculate quantities for the following items of works for an underground RCC water tank given below: a) First class brickwork in 1:4 c/s mortar b) Steel reinforcement in top RCC cover slab [Figure a: Underground RCC water tank. Plan: outer 300 cm wide, brick wall 23 cm thick with 12 cm and 35 cm offsets/projections, inner opening 200 cm × 100 cm, 200 cm. Section A-A: overall 276 cm wide, top RCC cover slab 20 cm thick with 10 mm dia all-bent-up bars and 10 mm dia main bars @ 15 cm c/c, 10 mm dia distribution bars @ 15 cm c/c, internal height 60 cm + 137 cm + 60 cm as marked, brickwork (1:4) 23 cm at top and 35 cm at base, M20 RCC floor, PCC (1:3:6) and flat brick soling below. Figure dimensions are hard to read in the scan.]

Assumptions (figure dimensions are hard to read)

  • Clear internal size of tank 2.00×1.002.00 \times 1.00 m; internal clear height 1.371.37 m.
  • Brick wall (1:4): bottom part 0.350.35 m thick and 0.600.60 m high (12 cm offset on the outer face), top part 0.230.23 m thick and 0.770.77 m high; total 1.371.37 m.
  • Top cover slab: 2020 cm thick RCC, resting on the 23 cm wall at both ends, so its size is (2.00+2×0.23)×(1.00+2×0.23)=2.46×1.46(2.00 + 2 \times 0.23) \times (1.00 + 2 \times 0.23) = 2.46 \times 1.46 m. Clear cover 2525 mm.
  • 10 mm bars at 15 cm c/c in both directions; main bars in the short direction, alternate bars cranked up; distribution bars in the long direction; hooks 9d=0.099d = 0.09 m at each end of main and distribution bars; crank extra =0.42×(0.20−2×0.025−0.010)=0.059= 0.42 \times (0.20 - 2 \times 0.025 - 0.010) = 0.059 m at each of the two cranks.

(a) Brickwork in 1:4 mortar (centre-line method)

PartCentre-line length (m)Thickness (m)Height (m)Volume (m³)
Lower wall2 [(2.00+0.35)+(1.00+0.35)]=7.402\,[(2.00+0.35)+(1.00+0.35)] = 7.400.350.601.554
Upper wall2 [(2.00+0.23)+(1.00+0.23)]=6.922\,[(2.00+0.23)+(1.00+0.23)] = 6.920.230.771.226
Total2.780

(b) Steel in the top cover slab

  • Number of main bars =1+(2.46−0.05)/0.15=17= 1 + (2.46 - 0.05)/0.15 = 17; of these 8 are cranked and 9 are straight.
  • Straight main bar length =1.46−0.05+2×0.09=1.590= 1.46 - 0.05 + 2 \times 0.09 = 1.590 m; cranked bar =1.590+2×0.059=1.708= 1.590 + 2 \times 0.059 = 1.708 m.
  • Number of distribution bars =1+(1.46−0.05)/0.15=10= 1 + (1.46 - 0.05)/0.15 = 10, each =2.46−0.05+2×0.09=2.590= 2.46 - 0.05 + 2 \times 0.09 = 2.590 m.
  • Weight per metre of 10 mm bar =d2/162=100/162=0.617= d^2/162 = 100/162 = 0.617 kg/m.
BarsNumberLength each (m)Total length (m)Weight (kg)
Main, straight91.59014.318.83
Main, cranked81.70813.668.43
Distribution102.59025.9015.99
Total33.25

Answer: brickwork = 2.780 m³; steel in top slab = 33.3 kg.

✓ Answer checked by Claude Opus 5.5 (high effort)

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