15.5 Construction Materials Testing and Concrete Mix Proportioning

Key Takeaways

  • The ASTM C143 slump cone is 300 mm high with a 200 mm base and 100 mm top, filled in three layers each rodded 25 times.

  • The splitting tensile strength of a cylinder is T = 2P/(πLD), from ASTM C496.

  • Under ACI 318, cored concrete is adequate if the average of three cores is at least 0.85f′c and no single core is below 0.75f′c.

  • Fineness modulus is the sum of the cumulative percentages retained on the standard sieves from 150 µm upward, divided by 100.

  • In ACI 211.1 proportioning, the fine aggregate is the absolute volume left after water, cement, coarse aggregate and air are subtracted from 1 m³.

Last updated: October 2026

15.5 Construction Materials Testing and Concrete Mix Proportioning

PSAD area 8 of the 2022 table of specifications, "Construction Materials and Testing," has one competency worth 4% (3 items): distinguish the equipment and apparatus used to test construction materials, and proportion concrete mixes. Statistical evaluation of strength tests, with the standard deviation and required average strength fcr′f'_{cr}, is in Section 3.1. Material properties and handling are in Section 6.1.


Testing Fresh Concrete

TestStandardApparatus and procedure
SlumpASTM C143Metal cone 300 mm high, 200 mm base and 100 mm top diameter. Fill in three layers of equal volume, rodding each layer 25 times with a 16 mm bullet-nosed rod. Lift the cone vertically in about 5 seconds. Slump is the drop of the concrete's top center.
SamplingASTM C172Composite sample taken from the middle portion of the batch
Making and curing cylindersASTM C31150 × 300 mm cylinders in three rodded layers, or 100 × 200 mm in two, 25 strokes per layer; standard moist curing
Air contentASTM C231 (pressure) or C173 (volumetric)Pressure meter for normal-weight concrete
Density (unit weight) and yieldASTM C138Measure of known volume; checks batch yield and air
TemperatureASTM C1064Thermometer in the fresh sample

Testing Hardened Concrete

TestStandardResult
Compressive strengthASTM C39fc=P/Af_c = P/A on cylinders in a compression machine at a controlled loading rate
Flexural strength (third-point loading)ASTM C78Modulus of rupture R=PL/(bd2)R = PL/(bd^2) when fracture is in the middle third
Flexural strength (center-point loading)ASTM C293R=3PL/(2bd2)R = 3PL/(2bd^2)
Splitting tensile strengthASTM C496T=2P/(πLD)T = 2P/(\pi L D)
Drilled coresASTM C42Strength of in-place concrete
Rebound hammerASTM C805Surface hardness; used to compare and locate weak areas, not as a substitute for cores
Ultrasonic pulse velocityASTM C597Pulse velocity indicates uniformity, cracks and voids

Example. A 150×300 mm150 \times 300\text{ mm} cylinder fails at P=250 kNP = 250\text{ kN} in a splitting test:

T=2(250,000)π(300)(150)=3.54 MPaT = \frac{2(250{,}000)}{\pi(300)(150)} = 3.54\text{ MPa}


ACI 318 Sampling and Acceptance (NSCP 2015 Chapter 4)

  • Strength test: the average strength of at least two 150×300 mm150 \times 300\text{ mm} cylinders or three 100×200 mm100 \times 200\text{ mm} cylinders, usually at 28 days.
  • Sampling frequency: at least once a day for each class of concrete, once for each 110 m3110\text{ m}^3, and once for each 460 m2460\text{ m}^2 of slab or wall surface.
  • Acceptance:
    • every average of three consecutive strength tests is at least fc′f'_c;
    • no single test falls below fc′−3.5 MPaf'_c - 3.5\text{ MPa} when fc′≤35 MPaf'_c \le 35\text{ MPa}, or below 0.90fc′0.90f'_c when fc′>35 MPaf'_c > 35\text{ MPa}.
  • Low-strength investigation: take three cores for each strength test that fell more than 3.5 MPa below fc′f'_c. The concrete is considered structurally adequate if:
    • the average of the three cores is at least 0.85fc′0.85f'_c; and
    • no single core is below 0.75fc′0.75f'_c.

Example. With fc′=28 MPaf'_c = 28\text{ MPa}, cores test at 24.5, 25.0 and 22.0 MPa.

  • The average is 23.83≥0.85(28)=23.8 MPa23.83 \ge 0.85(28) = 23.8\text{ MPa}.
  • The lowest core is 22.0≥0.75(28)=21.0 MPa22.0 \ge 0.75(28) = 21.0\text{ MPa}.

The concrete is adequate.


Testing Aggregates

TestStandardUse
Sieve analysisASTM C136 (grading limits in C33)Particle-size distribution and fineness modulus
Specific gravity and absorptionASTM C127 (coarse), C128 (fine)Absolute volumes and water corrections in mix design
Dry-rodded unit weightASTM C29Coarse aggregate content in ACI 211.1
Total moisture contentASTM C566Field batch-weight adjustments
Los Angeles abrasionASTM C131 (smaller sizes), C535 (larger)Resistance to wear and degradation
Clay lumps, fines and organic impuritiesASTM C142, C117, C40Cleanliness of aggregates

Fineness modulus (FM) is the sum of the cumulative percentages retained on the 150 µm, 300 µm, 600 µm, 1.18 mm, 2.36 mm and 4.75 mm sieves, plus the larger standard sieves when present, divided by 100. ASTM C33 fine aggregate usually has an FM between 2.3 and 3.1. A higher FM means coarser sand.

Example. Cumulative retained percentages are 3 (4.75 mm), 15 (2.36 mm), 35 (1.18 mm), 58 (600 µm), 82 (300 µm) and 96 (150 µm). FM =289/100=2.89= 289/100 = 2.89.


Testing Reinforcing Steel and Other Materials

  • Reinforcing bars are tested in a universal testing machine (UTM) for yield strength, tensile strength and elongation, and are bent around a specified pin to check ductility. Deformed bars sold in the Philippines are produced to the Philippine National Standard PNS 49, and imported bars to ASTM A615 or A706.
  • Concrete hollow blocks are tested for compressive strength on the net or gross area as specified.
  • Soils for embankments and subgrades are tested by Proctor compaction, field density (sand cone, ASTM D1556) and CBR. These are covered in Section 10.1.

Mix Proportioning by ACI 211.1 (Absolute Volume)

  1. Choose the slump for the type of construction.
  2. Choose the nominal maximum aggregate size (NMAS), which must suit the member size and bar spacing.
  3. Estimate mixing water and air content from the ACI table for that slump and NMAS.
  4. Select the water-cement ratio for the required average strength fcr′f'_{cr} (Section 3.1) and for durability.
  5. Compute the cement content as water ÷ (w/c).
  6. Find the coarse aggregate content: table volume (from NMAS and sand FM) × dry-rodded unit weight.
  7. Find the fine aggregate content: 1 m³ minus the absolute volumes of water, cement, coarse aggregate and air.
  8. Adjust for aggregate moisture and make trial batches.

Example. The target is fcr′=30 MPaf'_{cr} = 30\text{ MPa} in non-air-entrained concrete, with slump 75–100 mm and NMAS 25 mm. The sand has FM = 2.60. The coarse aggregate has a dry-rodded unit weight of 1,600 kg/m31{,}600\text{ kg/m}^3. Oven-dry specific gravities are 2.68 (coarse) and 2.64 (fine), and cement is 3.15.

StepACI 211.1 table valueResult per m³
Water, entrapped air193 kg; 1.5%193 kg
w/c for 30 MPa0.54Cement =193/0.54=357.4 kg= 193/0.54 = 357.4\text{ kg}
Coarse aggregate volume0.690.69×1,600=1,104 kg0.69 \times 1{,}600 = 1{,}104\text{ kg}

The absolute volumes are:

  • water 193/1,000=0.1930193/1{,}000 = 0.1930;
  • cement 357.4/3,150=0.1135357.4/3{,}150 = 0.1135;
  • coarse 1,104/2,680=0.41191{,}104/2{,}680 = 0.4119;
  • air 0.01500.0150.

Their sum is 0.7334 m30.7334\text{ m}^3. The fine aggregate is (1−0.7334)(2,640)=704 kg(1 - 0.7334)(2{,}640) = 704\text{ kg}.

Moisture adjustment. The sand has 4.0% total moisture with 1.0% absorption, and the gravel has 1.0% with 0.5% absorption.

  • Wet sand: 704(1.04)=732 kg704(1.04) = 732\text{ kg}.
  • Wet gravel: 1,104(1.01)=1,115 kg1{,}104(1.01) = 1{,}115\text{ kg}.
  • Batch water: 193−704(0.030)−1,104(0.005)=166 kg193 - 704(0.030) - 1{,}104(0.005) = 166\text{ kg}.

Philippine volumetric classes. Field estimating in the Philippines commonly uses nominal mixes by volume:

  • Class AA, 1 : 1.5 : 3;
  • Class A, 1 : 2 : 4;
  • Class B, 1 : 2.5 : 5;
  • Class C, 1 : 3 : 6.

Cement factors in 40-kg bags per cubic meter come from estimating tables. These nominal mixes are for quantity estimates. Strength-controlled work is proportioned and accepted by tests as described above.

Loading diagram...
ACI 211.1 Mix Proportioning Sequence
Test Your Knowledge

A 150 mm × 300 mm concrete cylinder fails at 250 kN in a splitting tensile test. What is the splitting tensile strength?

A

1.77 MPa

B

7.07 MPa

C

14.15 MPa

D

3.54 MPa

Test Your Knowledge

For concrete with f′c = 28 MPa, three cores from a low-strength area test at 24.5, 25.0 and 22.0 MPa. How does ACI 318 classify this concrete?

A

Adequate, because the core average is at least 0.85f′c and no core is below 0.75f′c

B

Inadequate, because one core is below 0.85f′c

C

Inadequate, because the core average is below f′c

D

Inadequate, because every core must reach f′c minus 3.5 MPa

Test Your Knowledge

A sand has cumulative percentages retained of 3, 15, 35, 58, 82 and 96 on the 4.75 mm, 2.36 mm, 1.18 mm, 600 µm, 300 µm and 150 µm sieves. What is its fineness modulus?

A

48.2

B

2.89

C

3.89

D

1.93

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