- 2078 Bhadra · 5 marks
Two-room building: excavation, PCC, brick, plaster
Short answer
Using centre-line method: earthwork excavation 24.39 m³, PCC (1:3:6) 8.13 m³, brickwork in 1:6 mortar up to plinth 12.00 m³, and 1:4 ceiling plaster 32.03 m².
Prepare detailed estimate of the item of work from the building drawing (figure 1) attached herewith: a) Earthwork in excavation in foundation b) PCC (1:3:6) in foundation c) Brick work in 1:6 cement sand mortar up to Plinth d) Plastering work 1:4 for the ceiling. [Figure 1: Plan 7900 mm overall length × 5400 mm; two rooms 3450 × 3300 mm and 3400 × 4600 mm; front verandah/open portion 1300 mm; external bays 900, 2400, 1300, 2400, 900 mm; internal partition wall 250 mm; external wall 400 mm (as marked 400); door D 900 × 2100, window W 2400 × 1500. Sections of 0.25 m wall and 0.40 m wall: foundation PCC (1:3:6) with flat brick soling, brickwork in (1:6) CM, 1:1 cement pointing, 100 thick PCC (1:3:6), 150 stone soling, rammed earth, P.C.C. (1:2:4) for RCC roof; wall height 3000 mm, sill 1500/2100 mm. Details approximate.]
Reading of the figure
Overall 7.9 m × 5.4 m: 0.40 + 3.45 + 0.25 + 3.40 + 0.40 = 7.90 m and 0.40 + 4.60 + 0.40 = 5.40 m. Room 1 (3.45 × 3.30 m) has the 1.30 m open verandah in front; Room 2 (3.40 × 4.60 m) is full depth. Walls: external 400 mm, partition 250 mm. The partition runs the full depth of Room 2 (4.60 m clear); Room 1's front wall stops against the partition, and Room 2's front wall is carried across the end of the partition (to x = 3.85 m) to close the corner.
Centre-line lengths of the 400 mm walls: back 7.50 + right 5.00 + left 3.70 + Room 1 front 3.65 (to the partition face) + Room 2 front 3.85 (to the far face of the partition) = 23.70 m; 250 mm partition = 4.60 m clear.
Foundation assumed: PCC 1:3:6 0.30 m thick, projecting 0.30 m each side of the wall (so 1.00 m and 0.85 m wide), trench depth 0.90 m, one brick step 0.15 m high and 0.10 m wider each side than the wall, then the wall to plinth (0.45 m above GL).
Junction adjustments (centre-line method): the partition trench and PCC stop at the edges of the outer-wall trenches, so their length is 4.60 − 2 × 0.30 = 4.00 m; the partition step is 4.60 − 2 × 0.10 = 4.40 m. Room 1's front-wall trench and step stop at the edge of the partition's trench and step (3.65 − 0.30 = 3.35 m and 3.65 − 0.10 = 3.55 m). At the free end of Room 2's front wall, the trench and step run 0.30 m and 0.10 m past the wall (3.85 + 0.30 = 4.15 m and 3.95 m). The net 400 mm wall length is therefore 23.70 m for the trench, PCC, step and wall alike.
a) Earthwork in excavation
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Trench, 400 mm walls (w = 1.0) | 1 | 23.700 | 1.000 | 0.900 | 21.330 |
| Trench, 250 mm wall (w = 0.85) | 1 | 4.000 | 0.850 | 0.900 | 3.060 |
| Total | 24.390 |
b) PCC (1:3:6) in foundation
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| PCC 1:3:6, 400 mm walls | 1 | 23.700 | 1.000 | 0.300 | 7.110 |
| PCC 1:3:6, 250 mm wall | 1 | 4.000 | 0.850 | 0.300 | 1.020 |
| Total | 8.130 |
c) Brickwork in 1:6 CM up to plinth
Wall height from the step = 0.90 − 0.30 − 0.15 + 0.45 = 0.90 m.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| 400 wall: brick step (0.6 × 0.15) | 1 | 23.700 | 0.600 | 0.150 | 2.133 |
| 400 wall: wall to plinth | 1 | 23.700 | 0.400 | 0.900 | 8.532 |
| 250 wall: brick step (0.45 × 0.15) | 1 | 4.400 | 0.450 | 0.150 | 0.297 |
| 250 wall: wall to plinth | 1 | 4.600 | 0.250 | 0.900 | 1.035 |
| Total | 11.997 |
d) 1:4 plastering of ceiling
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m²) |
|---|---|---|---|---|---|
| Room 1: 3.45 × 3.30 | 1 | 3.450 | 3.300 | – | 11.385 |
| Room 2: 3.40 × 4.60 | 1 | 3.400 | 4.600 | – | 15.640 |
| Verandah soffit 3.85 × 1.30 (outer face to partition) | 1 | 3.850 | 1.300 | – | 5.005 |
| Total | 32.030 |
Answer: Excavation 24.39 m³; PCC 8.13 m³; brickwork to plinth 12.00 m³; ceiling plaster 32.03 m² (assumed details).
✓ Answer checked by Claude Opus 5.5 (high effort)
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