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RCC slab culvert: excavation, PCC foundation, slab

Short answer

Based on assumed dimensions: excavation20.16 m³, PCC (1:3:6)4.032 m³, PCC (1:2:4) slab5.472 m³. Substitute actual drawing dimensions in same expressions.

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) PCC (1:2:4) for RCC slab [Drawing not included in the scanned paper]

The drawing is not available, so the method is shown on a stated set of dimensions; the same steps are used for any slab culvert.

Assumed dimensions

  • Clear span 3.003.00 m, bearing of slab 0.400.40 m on each abutment; slab thickness 0.300.30 m.
  • Width of culvert (measured across the road, i.e. along the stream) 4.804.80 m (4.00 m roadway + 2 kerbs of 0.40 m); this is also the length of each abutment.
  • Each abutment foundation: PCC (1:3:6) 1.401.40 m wide ×\times 0.300.30 m thick ×\times 4.804.80 m long, with the bottom of excavation 1.501.50 m below the ground.

a) Earthwork in excavation

V=2×1.40×4.80×1.50=20.16V = 2 \times 1.40 \times 4.80 \times 1.50 = 20.16 m³

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

V=2×1.40×4.80×0.30=4.032V = 2 \times 1.40 \times 4.80 \times 0.30 = 4.032 m³

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

Slab length =3.00+2×0.40=3.80= 3.00 + 2 \times 0.40 = 3.80 m; V=3.80×4.80×0.30=5.472V = 3.80 \times 4.80 \times 0.30 = 5.472 m³

Answer (for the assumed drawing): excavation = 20.16 m³; PCC 1:3:6 = 4.032 m³; concrete 1:2:4 in slab = 5.472 m³. For the actual drawing, substitute its dimensions in the same expressions.

✓ Answer checked by Claude Opus 5.5 (high effort)

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