- 2070 Chaitra · 5+4+5 marks
Building: excavation, PCC foundation, brick
Short answer
Use centre-line method: outer walls 26.00 m, partition shortened at junctions. Excavation 23.47 m³, PCC 1:3:6 5.87 m³, brickwork in foundation and plinth 11.53 m³, including pillar footings and pillars, based on assumed 0.80 m trench depth.
Prepare a detailed estimate of the following items of work of a building (drawing attached herewith) i) Earth work in excavation ii) PCC (1:3:6) in foundation iii) Brick work in 1:6 c.s mortar in foundation and plinth [Figure: two rooms 4.5 m × 3.6 m and 4.0 m × 3.6 m with front verandah 1.6 m, 20 × 20 cm pillars, steps 2.4 m wide tread 30 riser 15; door D 1.2 × 2.1 m (frame 10 × 8 cm), window W 1.1 × 1.5 m (frame 10 × 8 cm), shelf S 1.1 × 1.5 m 20 cm deep; walls 30 cm; foundation 90 cm wide with 20 cm layers, 60 cm; 2.5 cm D.P.C.; 15 cm R.C.C. band lintel; AV 10 cm L.C. (2:2:7) over 10 cm RCC slab; wall height 2.7 m, parapet 60 cm. Details approximate.]
Reading of the figure
Two rooms 4.5 × 3.6 m and 4.0 × 3.6 m (clear) side by side, 300 mm walls, 1.6 m front verandah on four 20 × 20 cm pillars. Foundation (as marked): 90 cm wide, 20 cm layers; assumed trench depth 0.80 m = PCC 1:3:6 0.20 m + brick step 0.60 m × 0.20 m + wall below GL 0.40 m; plinth 0.45 m above GL; pillar footing 0.90 × 0.90 m.
Outside length = 4.5 + 4.0 + 3 × 0.3 = 9.40 m; depth = 3.6 + 0.6 = 4.2 m. Centre-line of outer walls = 2[(9.40 − 0.3) + (4.2 − 0.3)] = 26.00 m. The partition is 3.6 + 0.3 = 3.90 m between the outer-wall centre lines; at its two T-junctions it is shortened by half the width of the outer-wall item at each end: trench and PCC 3.90 − 0.90 = 3.00 m, brick step 3.90 − 0.60 = 3.30 m, wall 3.90 − 0.30 = 3.60 m.
i) Earthwork in excavation
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Wall trench, outer walls, 0.90 × 0.80 deep | 1 | 26.000 | 0.900 | 0.800 | 18.720 |
| Wall trench, partition (3.90 − 0.90) | 1 | 3.000 | 0.900 | 0.800 | 2.160 |
| Pillar pits 0.90 × 0.90 × 0.80 (4 nos.) | 4 | 0.900 | 0.900 | 0.800 | 2.592 |
| Total | 23.472 |
ii) PCC (1:3:6) in foundation
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| PCC 1:3:6 under outer walls 0.90 × 0.20 | 1 | 26.000 | 0.900 | 0.200 | 4.680 |
| PCC 1:3:6 under partition | 1 | 3.000 | 0.900 | 0.200 | 0.540 |
| PCC under pillars 0.90 × 0.90 × 0.20 | 4 | 0.900 | 0.900 | 0.200 | 0.648 |
| Total | 5.868 |
iii) Brickwork in 1:6 c.s. mortar in foundation and plinth
Wall height above the step = 0.80 − 0.20 − 0.20 + 0.45 = 0.85 m.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Brick footing 0.60 × 0.20, outer walls | 1 | 26.000 | 0.600 | 0.200 | 3.120 |
| Brick footing 0.60 × 0.20, partition (3.90 − 0.60) | 1 | 3.300 | 0.600 | 0.200 | 0.396 |
| Wall 0.30 × 0.85 (26.00 + 3.60) | 1 | 29.600 | 0.300 | 0.850 | 7.548 |
| Pillar footing step 0.60 × 0.60 × 0.20 | 4 | 0.600 | 0.600 | 0.200 | 0.288 |
| Pillar 0.23 × 0.23 × (0.80−0.20−0.20+0.45) | 4 | 0.230 | 0.230 | 0.850 | 0.180 |
| Total | 11.532 |
Answer: Excavation 23.47 m³; PCC 5.87 m³; brickwork in foundation and plinth 11.53 m³ (assumed details).
✓ Answer checked by Claude Opus 5.5 (high effort)
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