---
title: "RCC slab culvert 1.5 m span: four items"
subject: "Estimating and Costing"
chapter: 6
key: "semester_7/estimating_and_costing:slab-culvert-n-four-items"
source: https://www.bctengineer.com/q/semester_7/estimating_and_costing/slab-culvert-n-four-items
site: BCT Engineering
---

# RCC slab culvert 1.5 m span: four items

Estimating and Costing · Chapter 6: Detailed Estimate

- Asked in: 2074 Asoj, 12 marks
- Video: [Estimation of RCC Box Culvert। Step by Step with Quantity Calculation॥ @MyLearningMyExperience](https://www.youtube.com/watch?v=58cYDoHdh0E) — My Learning My Experience and Civil Site Master 9M views in Last 1 Day.........
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/estimating_and_costing/slab-culvert-n-four-items
- Whole chapter: https://www.bctengineer.com/md/semester_7/estimating_and_costing/chapter-6

## Question

Estimate the quantities of the following items of work from the accompanying RCC slab culvert drawings:
a) Earthwork in excavation in foundation
b) PCC (1:3:6) in foundation
c) Brick work in (1:4) cement mortar
d) PCC (1:2:4) for RCC slab
[Figure: R.C.C. slab culvert 1.50 m span with standard modular bricks. Overall length 4.90 m, 4.00 m roadway, 10 cm c.c. wearing coat, slab with 20 mm dia bars @ 30 cm c/c (alternate bent up), distribution bars 10 mm dia @ 25 cm c/c, 15 cm cover; abutment 1.20 m clear span, 40 cm wall, 70 cm, 30 cm footing, C.C. 1:3:6 foundation 30 cm thick, earth slope 1:1, 60 cm curb/kerb, 1.30 m, 1.00 m height; plan 4.80 m, 1.50 m, 1.20 m. Details hard to read in the scan.]

## Short answer

Excavation:5.880 m³. PCC (1:3:6) in foundation:2.940 m³. Brickwork in1:4 mortar:5.978 m³. PCC (1:2:4) for slab:1.470 m³.

## Answer

#### Reading of the drawing (some dimensions are hard to read; assumed values are stated)

- Roadway $4.00$ m + two kerbs of $0.45$ m: width of culvert $4.90$ m = length of abutment.
- Clear span between abutments $1.20$ m, bearing $0.15$ m each side, so slab span $1.50$ m; slab thickness $0.20$ m (assumed).
- Abutment: brick shaft $0.40$ m thick $\times$ $1.00$ m high on a brick footing $0.70$ m wide $\times$ $0.30$ m high; PCC (1:3:6) bed $1.00$ m wide $\times$ $0.30$ m thick; bottom of PCC $0.60$ m below ground (footing + PCC).

#### a) Earthwork in excavation

$V = 2 \times 1.00 \times 4.90 \times 0.60 = 5.880$ m³

#### b) PCC (1:3:6) in foundation

$V = 2 \times 1.00 \times 4.90 \times 0.30 = 2.940$ m³

#### c) Brickwork in 1:4 mortar

Area of one abutment section $= 0.70 \times 0.30 + 0.40 \times 1.00 = 0.61$ m²

$V = 2 \times 4.90 \times 0.61 = 5.978$ m³

#### d) PCC (1:2:4) for RCC slab

$V = 4.90 \times 1.50 \times 0.20 = 1.470$ m³

**Answer: excavation = 5.880 m³; PCC (1:3:6) = 2.940 m³; brickwork = 5.978 m³; slab concrete (1:2:4) = 1.470 m³.**

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why is the slab length 1.50 m when the clear span is 1.20 m?
   A. Kerbs are added
   B. Bearing of 0.15 m is added on each side: 1.20 + 2 x 0.15
   C. Slab thickness is added
   D. Wearing coat is added
   Answer: B. The slab bears on both abutments, so slab span = clear + 2 bearings. (Key point: Slab span)

2. Area of one abutment's brickwork section is
   A. 0.40 x 1.00 only
   B. 0.70 x 1.00
   C. 0.70 x 0.30 + 0.40 x 1.00 = 0.61 m2
   D. 1.00 x 0.30 + 0.40 x 1.00
   Answer: C. Brick footing (0.70 x 0.30) plus shaft (0.40 x 1.00). (Key point: Brickwork cross-section)

3. Length of the abutment equals
   A. Roadway width 4.00 m
   B. Slab span 1.50 m
   C. Clear span 1.20 m
   D. Width of culvert = 4.00 roadway + 2 x 0.45 kerbs = 4.90 m
   Answer: D. Abutments run across the full width of the culvert. (Key point: Abutment length)

4. Depth 0.60 m equals
   A. Brick footing 0.30 m + PCC 0.30 m
   B. Shaft 1.00 m + PCC
   C. PCC 0.30 m only
   D. Slab thickness + PCC
   Answer: A. Excavation goes to the bottom of the PCC; the shaft stands above ground. (Key point: Excavation depth)

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