Cement, SCMs, and Admixtures — Worked Examples

These examples focus on selecting the correct cement test, using measured properties in concrete proportioning, and making field decisions without confusing a product certificate or supplier recommendation with full concrete-system qualification.

Example 1 — Select C187 versus C191

A laboratory request asks for both normal consistency and Vicat setting time of a hydraulic cement. Determine the correct ASTM method assignment.

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Example 2 — Cement absolute volume from measured relative density

A concrete mixture contains 360 kg/m3360\text{ kg/m}^3 of hydraulic cement. Its measured relative density is 3.10. Use water density 1000 kg/m31000\text{ kg/m}^3 to determine cement absolute volume.

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Example 3 — SCM replacement by mass

A trial mixture requires 400 kg/m3400\text{ kg/m}^3 total cementitious material. The approved trial plan replaces 25% of that mass with slag cement. Determine hydraulic cement and slag-cement masses.

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Example 4 — High-range water-reducer dosage

A trial concrete contains 380 kg/m3380\text{ kg/m}^3 total cementitious material. The approved trial dosage is 650 mL650\text{ mL} per 100 kg100\text{ kg} of cementitious material. Determine admixture volume for an 8.0 m38.0\text{ m}^3 batch.

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Example 5 — Diagnose a cement-admixture compatibility change

A production mixture that previously retained slump for 60 minutes begins losing slump rapidly after the cement source changes. Water, aggregate source, and nominal admixture dosage are unchanged. Determine a defensible investigation sequence.

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Example 6 — Read a cement certificate without overclaiming

A cement certificate identifies the correct product and lot and reports compliant physical and chemical results. A concrete trial made with the cement nevertheless shows delayed setting. Decide whether the certificate alone proves the concrete system is acceptable.

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Example 7 — Choose an accelerator for reinforced concrete

A reinforced-concrete placement in cold weather needs faster early strength. A chloride-bearing accelerator and a nonchloride accelerating system are both available. Determine the material-selection logic.

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Example 8 — Interpret a mass-concrete temperature difference

A thick mat has a measured core temperature of 78∘C78^\circ\text{C} while the near-surface temperature is 36∘C36^\circ\text{C}. Determine the instantaneous temperature difference and the next engineering decision.

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