- 2081 Bhadra · 4+3+3 marks
Single room: brick foundation, DPC, superstructure
Short answer
Room 4.0×3.5 m clear, centre-line 15.92 m. Brickwork up to plinth: steps 0.69 m and 0.46 m wide (each 0.15 m) + 0.95 m wall = 6.23 m³. DPC 2 cm: 15.92×0.23 m minus door (0.23 m²) = 3.43 m². Superstructure brickwork: wall 3 m high deduct door, windows, lintels = 9.68 m³.
From the attached plan and section of single room building, estimate the quantities. i) Brickwork in foundation up to plinth with 1:6 cement mortar. ii) 2 cm DPC at plinth level. iii) Brickwork in superstructure in cement mortar. [Drawing not included in the scanned paper]
No drawing is available, so a typical single room is assumed. The standard method is the centre-line method.
Assumed data
- Room 4.0 m × 3.5 m clear, 230 mm walls; centre-line length = 2(4.0 + 3.5 + 0.46) = 15.92 m.
- Foundation: trench 0.90 m × 1.00 m, PCC 200 mm, two brick steps 0.69 and 0.46 m wide (150 mm each), 230 mm wall up to plinth top (0.45 m above GL); wall height from last step = 0.95 m.
- Superstructure height 3.0 m; D 1.0 × 2.1 m (1 no.); W 1.2 × 1.2 m (2 nos.); RCC lintels 150 mm deep with 200 mm bearing each side.
i) Brickwork in foundation up to plinth, 1:6
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Brick footing step 1 (0.69 m wide) | 1 | 15.920 | 0.690 | 0.150 | 1.648 |
| Brick footing step 2 (0.46 m wide) | 1 | 15.920 | 0.460 | 0.150 | 1.098 |
| Wall up to plinth | 1 | 15.920 | 0.230 | 0.950 | 3.479 |
| Total | 6.225 |
ii) 2 cm DPC at plinth level
DPC (cement concrete 1:2:4 with waterproofing) is measured in m² = wall length × wall width, and is not carried across door openings.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m²) |
|---|---|---|---|---|---|
| DPC 20 mm, wall length | 1 | 15.920 | 0.230 | – | 3.662 |
| Deduct door opening | -1 | 1.000 | 0.230 | – | -0.230 |
| Total | 3.432 |
iii) Brickwork in superstructure
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Wall above plinth, full length | 1 | 15.920 | 0.230 | 3.000 | 10.985 |
| Deduct door 1.00×2.10 | -1 | 1.000 | 0.230 | 2.100 | -0.483 |
| Deduct window 1.20×1.20 | -2 | 1.200 | 0.230 | 1.200 | -0.662 |
| Deduct lintel over door (1.0 + 2 × 0.2) | -1 | 1.400 | 0.230 | 0.150 | -0.048 |
| Deduct lintels over windows (1.2 + 2 × 0.2) | -2 | 1.600 | 0.230 | 0.150 | -0.110 |
| Total | 9.681 |
Answer: Foundation and plinth brickwork 6.22 m³; DPC 3.43 m²; superstructure brickwork 9.68 m³ (assumed dimensions).
✓ Answer checked by Claude Opus 5.5 (high effort)
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