Beam

Beam concrete

WidthDepthLengthNo. of beamsnos

Concrete Volume

m³

Section: 0 × 0 mm
Per beam: 0 m³
Cement: 0 bags
Sand: 0 m³
Aggregate: 0 m³

Mark

Quantitynos

How we got this

1
Volume of one beam
V₁ = Width × Depth × Length
= 0 × 0 × 0
= 0 m³
2
Total concrete
V = V₁ × No. of beams
= 0 × 0
= 0 m³
3
Shuttering (for costing)
Area = (2 × Depth + Width) × Length × nos
= (2 × 0 + 0) × 0 × 0
= 0 m²
4
Dry volume of concrete
Dry volume = Wet volume × 1.54
= 0 × 1.54
= 0 m³
Dry ingredients bulk up; they lose ~54% volume once water is added and the mix is compacted.
5
Cement (M20 = 1 : 1.5 : 3, sum of ratio 5.5)
Cement volume = Dry volume × 1 / 5.5 ; bags = volume / 0.0347
= 0 × 1/5.5 = 0 m³ ÷ 0.0347
= 0 bags (0 kg)
One 50 kg bag of cement occupies 0.0347 m³ (density 1440 kg/m³).
6
Sand (fine aggregate)
Sand = Dry volume × 1.5 / 5.5
= 0 × 1.5/5.5
= 0 m³
7
Coarse aggregate (20 mm)
Aggregate = Dry volume × 3 / 5.5
= 0 × 3/5.5
= 0 m³
8
Water (for W/C 0.5)
Water = Cement weight × 0.50
= 0 × 0.50
= 0 litres

The theory behind it

Method used: Limit-state flexure (singly reinforced) — IS 456 Annex G stress-block method

Beam concrete = width × depth × length. Depth here is the overall depth; if you measure below the slab only, add the slab thickness back. Length is centre-to-centre of supporting columns, less the column width where the joint is counted with the column.

Assumptions used

•M20 grade, nominal mix 1 : 1.5 : 3 (cement : sand : aggregate).
•Dry-volume factor 1.54 on wet concrete volume.
•Cement bag = 50 kg = 0.0347 m³ (bulk density 1440 kg/m³).
•Water-cement ratio 0.50; adjust for admixtures or site moisture.
•No deduction for embedded reinforcement (usually < 1.5% of volume).
•For reinforcement, use the Steel Quantity calculator or the full Bar Bending Schedule (BBS).
•Overall depth used (slab thickness included where the beam is monolithic).

Codes & references

IS 456:2000 — Plain and Reinforced Concrete, Code of Practice
IS 10262:2019 — Concrete Mix Proportioning
HPR QS Master Guide, Part 2 — Concrete quantities
IS 456:2000, Cl. 23 — Beams

History

Estimates for guidance only. Confirm quantities with your site engineer.