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RCC slab culvert 1.5 m span: four items

Short answer

Excavation:5.880 m³. PCC (1:3:6) in foundation:2.940 m³. Brickwork in1:4 mortar:5.978 m³. PCC (1:2:4) for slab:1.470 m³.

Estimate the quantities of the following items of work from the accompanying RCC slab culvert drawings: a) Earthwork in excavation in foundation b) PCC (1:3:6) in foundation c) Brick work in (1:4) cement mortar d) PCC (1:2:4) for RCC slab [Figure: R.C.C. slab culvert 1.50 m span with standard modular bricks. Overall length 4.90 m, 4.00 m roadway, 10 cm c.c. wearing coat, slab with 20 mm dia bars @ 30 cm c/c (alternate bent up), distribution bars 10 mm dia @ 25 cm c/c, 15 cm cover; abutment 1.20 m clear span, 40 cm wall, 70 cm, 30 cm footing, C.C. 1:3:6 foundation 30 cm thick, earth slope 1:1, 60 cm curb/kerb, 1.30 m, 1.00 m height; plan 4.80 m, 1.50 m, 1.20 m. Details hard to read in the scan.]

Reading of the drawing (some dimensions are hard to read; assumed values are stated)

  • Roadway 4.004.00 m + two kerbs of 0.450.45 m: width of culvert 4.904.90 m = length of abutment.
  • Clear span between abutments 1.201.20 m, bearing 0.150.15 m each side, so slab span 1.501.50 m; slab thickness 0.200.20 m (assumed).
  • Abutment: brick shaft 0.400.40 m thick ×\times 1.001.00 m high on a brick footing 0.700.70 m wide ×\times 0.300.30 m high; PCC (1:3:6) bed 1.001.00 m wide ×\times 0.300.30 m thick; bottom of PCC 0.600.60 m below ground (footing + PCC).

a) Earthwork in excavation

V=2×1.00×4.90×0.60=5.880V = 2 \times 1.00 \times 4.90 \times 0.60 = 5.880 m³

b) PCC (1:3:6) in foundation

V=2×1.00×4.90×0.30=2.940V = 2 \times 1.00 \times 4.90 \times 0.30 = 2.940 m³

c) Brickwork in 1:4 mortar

Area of one abutment section =0.70×0.30+0.40×1.00=0.61= 0.70 \times 0.30 + 0.40 \times 1.00 = 0.61 m²

V=2×4.90×0.61=5.978V = 2 \times 4.90 \times 0.61 = 5.978 m³

d) PCC (1:2:4) for RCC slab

V=4.90×1.50×0.20=1.470V = 4.90 \times 1.50 \times 0.20 = 1.470 m³

Answer: excavation = 5.880 m³; PCC (1:3:6) = 2.940 m³; brickwork = 5.978 m³; slab concrete (1:2:4) = 1.470 m³.

✓ Answer checked by Claude Opus 5.5 (high effort)

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