133/3335–8FE Reference Handbook 10.4 · Materials · Water-cement ratio

Handbook formula

Water-Cement Ratio

Abrams' law: lower w/c → higher strength and lower permeability, provided the mix is workable and well cured. Typical structural w/c ≈ 0.40–0.50. Durability (chloride, freeze-thaw) often caps w/c (e.g. 0.45). Do not confuse w/c with slump (workability also depends on admixtures and aggregate).

Water-cement mass ratio
Mass of mixing water
Mass of cement

Step-by-step solved example

Cement 400 kg, water 180 kg. w/c? If water increases 20 kg with cement fixed, new w/c?

air V_awater V_wsolids V_s
Water vs cement in the paste — the water occupies volume in the mix.
  1. 1. Original

    w/c = 180/400 = 0.45.

  2. 2. New

    200/400 = 0.50. Strength expected to drop.

Answer: 0.45 then 0.50

10 practice questions

0/10 correct

1.w/c is a ratio of

2.Lower w/c, well compacted, generally gives

3.A durability spec of w/c ≤ 0.45 is typically for

4.Water 160 lb, cement 400 lb. w/c =

5.High-range water reducer (superplasticizer) lets you

6.w/cm uses

7.If cement is doubled and water is doubled, w/c

8.Bleed water increases when

9.Curing is still required at low w/c because

10.Typical structural w/c is nearest