- 2074 Chaitra · 10+5+5 marks
Two-room building: brick plinth, door shutters, plaster
Short answer
Brickwork in 1:6 cement mortar up to plinth: 13.90 m3. Door shutters (35 mm, 3 nos.) after frame deduction: 6.38 m2. Ceiling plaster and roof projection soffit: 55.72 m2.
A drawing of a building is attached herewith. Calculate the quantities of: i) Brickwork in cement mortar (1:6) up to plinth ii) 35 mm thick paneled door shutters. iii) 10 mm thick cement plaster in ceilings and underside of roof projection. [Two Room Building: all dimensions in mm, assume necessary dimensions. Plan: room A 3600 × 4800 and room B 3600 × 5500; external walls 350 mm, internal wall 230 mm; bay dimensions 1550, 1200, 2630, 1200, 1550 and 2000, 1500, 2000; front 1050, 1000, 700, 2630, 700, 1000, 1050. Foundation — external wall: depth 900, width 900, concrete depth 150; footings width and depth: 1st 590 and 130, 2nd 470 and 130, 3rd footing and plinth 350 thick; plinth height 450; sill height 750. Internal wall: depth 750, width 750, concrete depth 130; footings: 1st 470 and 130, 2nd 350 and 130, 3rd footing and plinth 230; plinth height 450; sill height 750. Steps: tread 300, riser 150, 100 th PCC. Roofs: RCC slab thickness 100, projection 600, parapet wall 110 thick, 300 high at the end of roof projection. Superstructure: floor to floor height 2700, external wall 350, internal wall 230. Openings: doors D 1200 × 2100, windows W1 1000 × 1000, W2 1200 × 1200, W3 1200 × 1200; frame size 75 × 100; doors and windows shutter 35 thick.]
Reading of the data
Along the front: 350 + 3600 + 230 + 3600 + 350 = 8130 mm (matches 1550 + 1200 + 2630 + 1200 + 1550 = 8130). Room A is 3.6 × 4.8 m, Room B 3.6 × 5.5 m, so the outer depth is 4.8 + 0.70 = 5.50 m on the Room A side and 5.5 + 0.70 = 6.20 m on the Room B side (an L-shaped plan). External walls 350 mm, internal 230 mm. Slab 100 mm with 600 mm projection, parapet 110 × 300 mm on the projection edge. The number of openings is not given, so 3 doors D (1.2 × 2.1 m) are assumed (two external, one in the partition); the windows are not needed for this question.
Foundation from the given data: external wall trench 900 wide × 900 deep, concrete 150 mm, footings 590 × 130 and 470 × 130, 350 mm wall to plinth (450 mm); internal wall trench 750 × 750, concrete 130 mm, footings 470 × 130 and 350 × 130, 230 mm wall to plinth.
Centre-line lengths: external walls = back 7.78 + left 5.15 + right 5.85 + fronts 7.55 = 26.33 m; partition (full depth of Room B) = 5.50 m. (The small overlaps where the internal-wall footings meet the external-wall footings are neglected.)
i) Brickwork in cement mortar 1:6 up to plinth
External wall height = 0.90 − 0.15 − 0.13 − 0.13 + 0.45 = 0.94 m; internal = 0.75 − 0.13 − 0.13 − 0.13 + 0.45 = 0.81 m.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Ext. footing 1: 0.59 × 0.13 | 1 | 26.330 | 0.590 | 0.130 | 2.020 |
| Ext. footing 2: 0.47 × 0.13 | 1 | 26.330 | 0.470 | 0.130 | 1.609 |
| Ext. wall 0.35 × 0.94 | 1 | 26.330 | 0.350 | 0.940 | 8.663 |
| Int. footing 1: 0.47 × 0.13 | 1 | 5.500 | 0.470 | 0.130 | 0.336 |
| Int. footing 2: 0.35 × 0.13 | 1 | 5.500 | 0.350 | 0.130 | 0.250 |
| Int. wall 0.23 × 0.81 | 1 | 5.500 | 0.230 | 0.810 | 1.025 |
| Total | 13.902 |
ii) 35 mm thick panelled door shutters
The frame is 75 × 100 mm, so each shutter is smaller than the 1.2 × 2.1 m opening by 75 mm at each vertical side and at the head.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m²) |
|---|---|---|---|---|---|
| Panelled shutter D 1.2×2.1 less frame (1.05 × 2.025), 3 nos. | 3 | 1.050 | 2.025 | – | 6.379 |
| Total | 6.379 |
iii) 10 mm plaster in ceilings and underside of roof projection
The slab follows the L-shaped outline with a 0.60 m projection. The soffit outside the walls is a 0.60 m strip along the perimeter, 2(8.13 + 6.20) = 28.66 m (the same as the enclosing rectangle for an L-shape), plus 4 net corner squares of 0.60 × 0.60 m.
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m²) |
|---|---|---|---|---|---|
| Room A ceiling 3.6 × 4.8 | 1 | 3.600 | 4.800 | – | 17.280 |
| Room B ceiling 3.6 × 5.5 | 1 | 3.600 | 5.500 | – | 19.800 |
| Projection soffit: 28.66 × 0.60 | 1 | 28.660 | 0.600 | – | 17.196 |
| Projection corners 0.60 × 0.60 | 4 | 0.600 | 0.600 | – | 1.440 |
| Total | 55.716 |
Answer: Brickwork to plinth 13.90 m³; door shutters 6.38 m² (3 doors); ceiling and projection soffit plaster 55.72 m².
✓ Answer checked by Claude Opus 5.5 (high effort)
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