Engineering Materials·MCQ explained

Which of the following statements of Abraham Law for water to cement ratio is true?

Try it first: pick an option, then read the explanation.

Correct answer: D. Compressive strength decreasing w/c Ratio increases

Detailed Explanation: The Inverse Relationship in Abrams' Law

Abrams' (Abraham's) Law explicitly describes an inverse relationship between w/c ratio and compressive strength. This is a direct consequence of how water affects the microstructure of hardened cement paste.

Why D is correct: As w/c increases: more water is present in the fresh mix → excess water beyond hydration needs creates capillary pores when it evaporates → higher porosity = lower density = lower compressive strength. Option A (directly proportional) is the opposite — incorrect. Option B (both increase) is also opposite of Abrams' Law. Option C (no effect) contradicts all experimental evidence.

Effect of Increasing W/C Ratio

EffectDirection
WorkabilityIncreases ↑
BleedingIncreases ↑
Capillary porosityIncreases ↑
Compressive strengthDecreases ↓
PermeabilityIncreases ↑
DurabilityDecreases ↓

Key Concepts for Students

  • Higher w/c = higher workability + lower strength — the fundamental trade-off in concrete mix design.
  • Every 0.05 increase in w/c ratio typically reduces 28-day compressive strength by about 3–5 MPa.
  • Admixtures (plasticisers/superplasticisers) resolve the dilemma by improving workability WITHOUT increasing w/c.