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Slab culvert: excavation and brickwork

Short answer

Excavation:2×1.41×5.00×0.90 =12.69 m³. Brickwork volume including shaft and two offsets:11.060 m³.

Workout quantity of (i) earth work excavation and (ii) brick work of slab culvert. (Fig. 2) [Figure 2: slab culvert. Sectional elevation: 300 thick RCC slab, 100 thick wearing coat, 200 thick kerb, bed/ground level, PCC (1:3:6) foundation; dimensions 590, 710, 1010, 1410 mm, clear span 2000, 295, 300, 150, 280, 230, 350. Sectional plan: 5000 total length, 2000 width, 590 abutment width. Cross-section: 5000 roadway width. Dimensions in mm, hard to read in the scan.]

Reading of Fig. 2 (dimensions are hard to read; stated values are assumed where unclear)

  • Roadway width 5.005.00 m, which is the length of each abutment (measured across the road); clear span 2.002.00 m.
  • Each abutment: brick shaft 0.590.59 m thick ×\times 1.001.00 m high; first offset 0.710.71 m ×\times 0.300.30 m; second offset 1.011.01 m ×\times 0.300.30 m; PCC (1:3:6) bed 1.411.41 m wide ×\times 0.300.30 m thick.
  • Ground level is at the top of the first offset, so the excavation depth to the bottom of the PCC is 0.30+0.30+0.30=0.900.30 + 0.30 + 0.30 = 0.90 m.

(i) Earthwork in excavation

V=2×1.41×5.00×0.90=12.69V = 2 \times 1.41 \times 5.00 \times 0.90 = 12.69 m³

(ii) Brickwork

PartWorkingArea of section (m²)
Shaft0.59×1.000.59 \times 1.000.5900
Offset 10.71×0.300.71 \times 0.300.2130
Offset 21.01×0.301.01 \times 0.300.3030
Total1.1060

V=2×5.00×1.1060=11.060V = 2 \times 5.00 \times 1.1060 = 11.060 m³

Answer: excavation = 12.69 m³; brickwork = 11.060 m³.

✓ Answer checked by Claude Opus 5.5 (high effort)

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