- 2081 Baisakh · 6+2 marks
Brick masonry pier: brickwork and pointing
Short answer
Assuming a stepped pier with two footing steps, shaft, and cap, brickwork volumes are summed: total 3.216 m³. Pointing area is computed for exposed faces above ground: shaft faces, cap vertical faces, overhang underside, and top surface, totaling 10.67 m².
From the drawing attached of the brick masonry pier (Fig. 2), calculate the total quantity of brick work and also the pointing work. [Figure 2 not included in the scanned paper]
The pier drawing is not available, so the method is shown for an assumed stepped brick pier: two footing steps, a square shaft and a projecting cap. Brickwork is the sum of the volumes of each prism; pointing is the exposed surface area only.
Assumed data
- Footing step 1: 1.50 m × 1.50 m × 0.30 m; step 2: 1.20 m × 1.20 m × 0.30 m (both below ground, so not pointed).
- Shaft: 0.90 m × 0.90 m × 2.40 m high; cap: 1.05 m × 1.05 m × 0.15 m. Brick in 1:6 cement mortar.
Brickwork
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Footing step 1: 1.50 × 1.50 × 0.30 | 1 | 1.500 | 1.500 | 0.300 | 0.675 |
| Footing step 2: 1.20 × 1.20 × 0.30 | 1 | 1.200 | 1.200 | 0.300 | 0.432 |
| Pier shaft 0.90 × 0.90 × 2.40 | 1 | 0.900 | 0.900 | 2.400 | 1.944 |
| Cap course 1.05 × 1.05 × 0.15 | 1 | 1.050 | 1.050 | 0.150 | 0.165 |
| Total | 3.216 |
Pointing (exposed faces above ground)
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m²) |
|---|---|---|---|---|---|
| Shaft, 4 faces | 4 | 0.900 | 2.400 | – | 8.640 |
| Cap, 4 vertical faces | 4 | 1.050 | 0.150 | – | 0.630 |
| Cap overhang underside (1.05² − 0.90²) | 1 | 0.292 | – | – | 0.292 |
| Cap top surface | 1 | 1.050 | 1.050 | – | 1.103 |
| Total | 10.665 |
Answer: Brickwork = 3.216 m³; pointing = 10.67 m² (assumed dimensions; for the actual figure take each step as length × breadth × height and each exposed face once).
✓ Answer checked by Claude Opus 5.5 (high effort)
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